Leslie has 48 stickers to give to her friends. The number of stickers, s, each friend will receive is equal to 48 divided by f, the number of friends. Make an input-output table to find the number of friends Leslie gave stickers to if each friend receives 12, 8, or 6 stickers.

Answers

Answer 1
\(\begin{gathered} \text{Number of of stickers,s = }\frac{48}{f(n\text{umber of friends)}} \\ \text{ } \\ \text{ s = }\frac{48}{f} \\ \text{ by cross mutiplying, we have.} \\ \text{ s }\times\text{ f = }48 \\ \text{ f = }\frac{48}{s} \\ \text{ Therefore,} \\ \text{ when s = 12, f = ?} \\ \text{ f = }\frac{48}{12}\text{ = 4} \\ \text{ when s = 8, f = ?} \\ \text{ f= }\frac{48}{8}\text{ = 6} \\ \text{ when s = 6, f = ? } \\ \text{ f = }\frac{48}{6}\text{ = 8} \\ \text{ } \end{gathered}\)

Leslie Has 48 Stickers To Give To Her Friends. The Number Of Stickers, S, Each Friend Will Receive Is

Related Questions

1. A new compact has a sticker price of $14500. Options add another $982. Destination charges are $592. Dealer preparation is 5% of the total price. Sales tax is 7%. Tag fee is $145. Title fee is $45. What is the total price of the vehicle?

2. The selling price of a used car is $8850. Trade in allowance is $1500. Tax is 8%. Tag fee is $130. Title fee is $35. Finance charges are 9.5% annual simple interest. What is the total price of the financed amount? What are the total finance charges? What are the monthly payments if the vehicle is financed for 3 years? What is the total deferred price of the car?

3. The total deferred price of a car is $28000. After a down payment of $2100, the monthly payments are $380. How long is the financing agreement?

4. Stanley bought a new car with a sticker price of $19200. The dealer agreed to a 6% discount. The sales tax was 8% of the selling price. The tag fee was $65, and the title fee was $45. What is the total price of the car? The interest rate is 9% for financing the car for 5 years. What is the total deferred price after all the payments were made?

5. Mark bought a truck with a sticker price of $23000 plus additional options totaling $3500. He received a 4% discount and a $1500 trade-in allowance. The tax was 7%, tag fee was $125, and title fee was $75. He bought an extended warranty for $700, which was financed into the total cost of the truck. The interest rate was 6.5% for 5 years. How much are the monthly payments?

Answers

The total price of the vehicle would be $18,192.88.

The total deferred price of the car would be $11,191.60.

The length of the financing agreement is 68 months .

The total deferred price after the payments was $19,601.84.

The monthly payments would be $516.92.

How to find the price of the vehicle ?

Subtotal = Base price + Options + Destination charges

Subtotal = $14,500 + $982 + $592 = $16,074

Dealer preparation = 5% of subtotal

Dealer preparation = 0.05 x $16,074 = $803.70

Sales tax = 7% of subtotal

Sales tax = 0.07 x $16,074 = $1,125.18

Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee

Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88

How to find the total deferred price ?

Tax = 8% of selling price = 0.08 x $8,850 = $708

Tag fee = $130

Title fee = $35

Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223

Annual interest rate = 9.5%

Number of years financed = 3

Total finance charges = $8,223 x 0.095 x 3 = $2,341.595

Total financed amount = $8,223 + $2,341.595 = $10,564.595

Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615

Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595

How to find the length of the financing agreement ?

Total deferred price = $28,000

Down payment = $2,100

Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900

Monthly payments = $380

Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16

The financing agreement is approximately 68 months long.

How to find the deferred price after the payments ?

Sticker price = $19,200

Discount = 6% of sticker price = 0.06 x $19,200 = $1,152

Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048

Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84

Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84

How to find the monthly payments ?

Using the formula for monthly payments on a loan:

P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)

= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92

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Find domain of the function
F(x)=7x+4

Answers

Answer:

all real numbers or infinity

Step-by-step explanation:

this function is linear and linear functions always have an infinite domain and range

Asking again because someone answered with something completely random when I asked it the first time. Please answer ASAP.

Asking again because someone answered with something completely random when I asked it the first time.
Asking again because someone answered with something completely random when I asked it the first time.

Answers

Answer:

C

Step-by-step explanation:

The lines match the problem

Answer: Choice C

===========================================

Explanation:

The piecewise function is

\(f(x) = \begin{cases} -3 \ \text{ if } \ -2 < x \le -1\\ -2 \ \text{ if } \ -1 < x \le 0\\ -1 \ \text{ if } \ 0 < x \le 1\\ \end{cases}\)

It breaks down into these three cases

If \(-2 < x \le -1\), then f(x) = -3If \( -1 < x \le 0\), then f(x) = -2If \(0 < x \le 1\), then f(x) = -1

Only one case is possible at a time. The cases do not overlap.

So in effect, f(x) has a split personality. It changes identity based on what the x input is.

To graph this, we'll graph the pieces of the linear functions y = -3, y = -2 and y = -1. They are horizontal lines.

We only graph y = -3 when \(-2 < x \le -1\) as described in the first piece. We only graph y = -2 when \( -1 < x \le 0\) based on what the second piece says.Lastly, we only graph y = -1 when \(0 < x \le 1\)

What results is shown in graph C. We have a step function or staircase function. The horizontal pieces of the staircase are visible, but the vertical portions are not. So the horizontal pieces are completely separate from one another. Some graphing calculators may erroneously show the vertical portions (due to how some graphing calculators have a knack for wanting to connect all the dots with one smooth curve).

Note the use of open holes vs closed circles at the endpoints of each piece. Open holes signal that the point is not part of the graph. Think of a pothole in the road that you cannot drive on. In contrast, a closed circle endpoint is part of the graph. The open holes correspond to any time we don't have "or equal to" in the inequality sign.

XZ.P Point P(-7, 2) is mapped onto P¹ (3, -11) by the reflection y=mx+c. find the values of the constants m and c.​

Answers

The values of the constants m and c include the following:

m = -1.3

c = 7.1

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.

Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;

2 = -7m + c    ...equation 1.

-11 = 3m + c    ...equation 2.

By solving the system of equations simultaneously, we have:

2 = -7m - 3m - 11

11 + 2 = -10m

13 = -10m

m = -1.3

c = 7m + 2

c = 7(-1.3) + 2

c = -7.1

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Richard has 3 times as many music CDs as Benny does.

If Richard has y CDs, the number of CDs Benny has is given by the expression

. If Richard has 30 CDs, Benny has

CDs.

Answers

Answer:

y = 10 CDs

Step-by-step explanation:

30 divided by 3 equals 10

10 times 3 equals 30

Answer:

first blank is y/3

second blank is 10

Step-by-step explanation:

what is the equation of a line that passes through the points (2,5) and (4,3)

Answers

The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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Si el volumen de una caja de cartón de forma cúbica es de 216 dm³

Answers

The volume of the cardboard box is approximately 13197.402 cubic inches.

The volume of a cardboard box is 216 dm³, we can convert it to the English system of measurements.

1 dm (cubic decimeter) is equivalent to 1 liter.

To convert dm³ to cubic inches, we can use the following conversion factors:

1 dm³ = 61.0237 cubic inches

Using this conversion factor, we can calculate the volume of the box in cubic inches:

The cube carton volume is 216 dm3 and the cube edge value is 6 dm.

The volume of the cube is calculated by dividing the edge values. In other words, volume = edge 3.

To find the edge (side) value, you can solve for the volume formula as follows:

edge 3 = volume.

edge = ∛ volume,

Where ∛ is the cube root.

Applying this formula to the given problem gives edge = ∛(216 dm³).

Edge = 6dm. Therefore, the side (edge) value of the cube is 6dm.

Volume (cubic inches) = 216 dm³ * 61.0237 cubic inches/dm³

= 13197.402 cubic inches

Question :- If the volume of a cubic cardboard box is 216 dm³

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A factory made 3 jars of creamy peanut butter and 97 jars of chunky peanut butter. What percentage of the jars of peanut butter were creamy?

Answers

Answer:

3%

Step-by-step explanation:

They made 97+3 total jars, 3 out of 100 is 3 percent.

What is the value of space 2.18 minus 0.3 ?

Answers

Answer: 2.18- .3= 1.88

Step-by-step explanation:

1.88 hope that helps <3

What is the correct solution to the expression 3+5^2. Using scientific calculator

Answers

Answer:

5^2 is 5 squared in which case this Is essentially 3+25  which is 28.

Step-by-step explanation:

Its simple 5^2 Is 5 times 5, 5^3 is 5 times 5 times 5 and so on.

Jill rides a train for 2/3 of an hour and goes 38 miles. How many miles per hour is her train going?

Answers

The train in which Jill is travelling is going at the speed of 57 miles per hour.

Distance travelled = 38 miles

Time taken = 2/3 hour

Speed at which the train travels = 38 ÷ 2/3 = 57 miles per hour

Hence the train travels at the speed of 57 miles per hour

Scalar numbers represent the magnitude of an object's position change over time or the amount of position change per unit of time.

The average speed of an object in a given time interval is just the distance travelled divided by the duration of the interval.

Average speed, as opposed to instantaneous speed, is defined as the total distance travelled divided by the time interval.

Speed just describes how rapidly an object moves, whereas velocity describes how fast and in which direction the thing moves.

A car's speed has been stated if it is said to move at 60 km/h. However, if the car is claimed to be travelling north at 60 km/h, its velocity has now been given.

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The major characteristic of the data that affects the selection of appropriate statistics is:
Group of answer choices

the level of measurement

the size of the population.

the representativeness of the sample

the number of cases

Answers

The major characteristic of the data that affects the selection of appropriate statistics is the level of measurement.

What is statistics?

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of mathematical methods to gather, summarize, and interpret data, which can be used to make decisions or draw conclusions about a population based on a sample of that population.

The level of measurement determines the type of statistical analysis that can be used to analyze the data. Different types of statistical methods are used depending on the level of measurement of the data.

For example, if the data is nominal (categorical data with no inherent order), then we might use frequency distributions or chi-square tests to analyze it. If the data is interval or ratio (continuous data with an inherent order and equal intervals between values), then we might use measures of central tendency and dispersion, correlation, or regression analysis to analyze it.

Therefore, the major characteristic of the data that affects the selection of appropriate statistics is the level of measurement.

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5x + 8 = ______, when x = 4

Answers

Answer:

28

Step-by-step explanation:5 times 4 plus 8 is 28

A class sold tickets to their school play. Each of the 23 students in the class sold 4 tickets. The cost of each ticket was 7$

Answers

92 tickets were sold
They made 368$

Answer:

if the question is "how much money they got all of them combine" then it's $644

Step-by-step explanation:

23 students sold 4 tickets each which cost 7

23×3×7

If two lines intersect and one of the angles formed has a measure of 67º, which of the following statements are true? Explain your answers

More than one answer may be correct, select all correct answers

A: Vertical angles are congruent, therefore another angle must equal 67º
B: The lines form linear pairs
C: The lines form complementary angles
D: One of the angles formed measures 23º
E: Two of the angles formed measure 113º
F: Two of the angles formed will have a sum of 180º
G: None of the above

Answers

The statements that are true are:

A : Vertical angles are congruent, therefore, another angle must equal 67°

F: Two of the angles formed will have a sum of 180°

What happens when two lines intersect?

When two lines intersect, their vertical angles are always the same and the sum of the two angles on a straight line is 180°

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How many gallons of a 50​% antifreeze solution must be mixed with 70 gallons of ​10% antifreeze to get a mixture that is 40​% ​antifreeze?

Answers

Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

SOLUTION:

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

This month my metro water services bill was $36.34 and my Madison Suburban Utilty District bill was $26.03. My total water bill was $

Answers

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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How many gallons of paint should be purchased to paint 10 motel rooms as shown in the illustration?
(Do not paint the floor.) It takes 1 gal to paint 240 square feet (ft 2).
10 ft
8 ft
20 ft

Answers

Hi I hope y’all have an answer

Solve for b. —11b + 7 = 40 b =​

Answers

Answer:

-3

Step-by-step explanation:

-11(-3)+7=40

33+7=40

Duane begins paying a $5,000
student loan with an annual interest rate of 6.5%
compounded monthly. He schedules monthly payments of $118.57
for 4
years.

The following table shows the first payment in the amortization schedule.


Payment
Number Loan
Amount Payment Interest Principal Remaining
Balance
1
$5,000.00
$118.57
?

What amount of Duane's first payment goes to interest?
Responses

Answers

The amount of Duane's first payment that goes to interest is approximately $26.47.

To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.

The formula to calculate the interest portion of a loan payment is:

Interest = Remaining Balance * Monthly Interest Rate.

Let's calculate the interest for the first payment using the given information:

Loan Amount = $5,000.00

Monthly Payment = $118.57

First, we need to calculate the monthly interest rate:

Monthly Interest Rate = Annual Interest Rate / 12

= 6.5% / 12

= 0.00542

Next, we need to calculate the remaining balance after the first payment:

Remaining Balance = Loan Amount - Principal Paid

= $5,000.00 - $118.57

= $4,881.43

Finally, we can calculate the interest portion of the first payment:

Interest = Remaining Balance * Monthly Interest Rate

= $4,881.43 * 0.00542

= $26.47

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Julian walked from his house for 2 hours at a speed of 4 miles per hour to the library. he then returned home by bicycle at a speed of 12 miles per hour. find his average speed for the whole entire journey in miles per hour

Answers

His average speed is 8 miles per hour.

Smallest successive composites with gap
17, 73, 2, 19

Answers

Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

HELP PLEASE show work if possible I WILL MARK BRAINLIEST TO BEST ANSWER

HELP PLEASE show work if possible I WILL MARK BRAINLIEST TO BEST ANSWER

Answers

The Value for x and y as follow:

A) x=2 and y=-8

B) x = -2 and y = 5

C) x = -9/4 and y= -5/2

What is Elimination Method?

The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.

Given:

A) 9x- 2y = 34...............(1)

5x+ 2y = -6..............(2)

Adding equation (1) and (2) we get

9x -2y = 34

5x + 2y = -6

_____________

14x = 28

x= 28/14

x= 2

and, 5x +2y= -6

5(2) + 2y= -6

2y = -6 -10

y = -8

B) x+ 6y = 28.....................(3)

2x -3y = -19................(4)

Multiply equation (2) by 2 we get

4x - 6y = -38.......................(5)

Adding equation (3) and (5), we get

x + 6y = 28

4x- 6y = -38

___________

5x = -10

x= -2

and, x+ 6y= 28

-2 +6y= 28

6y= 30

y=5

C) 8x -6y = -3................(6)

6x -5y = -1......................(7)

Multiply equation (6) by 5 and equation by (6), we get

40x - 30 y = -15

36 x - 30y = -6

-       +           +

____________

4x = -9

x= -9/4

and, 8x - 6y = -3

8(-9/4) - 6y = -3

-18 - 6y= -3

-6y = 15

y = -5/2

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**Image **Find the value of x. Show your steps.

**Image **Find the value of x. Show your steps.

Answers

The value of x is 9 by using the concept of corresponding angles.

What are corresponding angles?

Corresponding angles are the angles formed when two parallel lines are crossed by any other line. It may also be generated in matching edges(corners) or corresponding corners with the transversal.

From the information given:

(8x + 9) is corresponding to the opposite side of the transversal with an angle of 99 degrees.

Using the sum of angles on a straight line.

Step 1: (8x + 9)° + 99 = 180°

Step 2: 8x + 108 = 180

Step 3: 8x = 72

Step 4: x = 9

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Evaluate 2p - 3r + t for p = 10,
r = -4 and t = 5.

13
37
8

Answers

Answer:

37

Step-by-step explanation:

\(2p - 3r + t\)

p = 10

r = -4

t = 5

Substitute values into the given equation

\(2(10) - 3( - 4) + 5\)

Simplify

\(20 + 12 + 5 \\ \\ = 37\)

(9,-3) and (9,-4) the slope is what

Answers

Answer:

Undefined

Step-by-step explanation:

3. A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The
cost per photo varies inversely with the number of photos a customer buys, as shown in the table below.
What function models the data?

Answers

To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.

To model this relationship, we can use the inverse variation equation, which can be expressed as:

y = k/x

Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.

Let's examine the data given in the table to find the value of k:

Number of Photos (x) Cost per Photo (y)

10 10

25 4

50 2

100 1

We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):

2 = k/50

Solving for k:

k = 2 * 50 = 100

Now that we have the value of k, we can write the function that models the data:

y = 100/x

Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.

Determine the mean, median, mode and midrange for the following data:
13 15 18 18 21
Your answers should be exact numerical values.
The mean of the data is
The median of the data is
The mode of the data is
The midrange of the data is

Answers

The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.

Let's see how to calculate Mean, Median, Mode and Midrange.

Mean = 13 + 15 + 18 + 18 + 21 / 5

Mean = 85 / 5

Mean = 17

Median = 18 (as it is the middle term of the data)

Mode = 18 (as it is most recurring number)

Midrange = 21 + 13 / 2

Midrange = 34 / 2

Midrange = 17

Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

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What kind of building material has the cheapest premiums?

Answers

Answer:

hey its me manisha

are there

The circulation of a newsletter decreased from 3,200 to 2,400. What was the percent of the decrease in circulation?

Answers

Answer:

75%

Step-by-step explanation:

Other Questions
what does the chief's reaction to his wife's dream tell you about onondaga beliefs? the earth on turtle's back When reporting liabilities on a balance sheet, in theory, what measurement should be used?. The aftermath of a hurricane demonstrated here is called awatershedstorm surgerunoffwhite cap What would be an example of a tiered observation if you are measuring temperature? Ranking the temperatures. Tiered observations only apply to discrete variables. Measurements rounded off to the nearest degree. Only considering those temperatures in a certain tier. what learning process is exhibited by the following: in teaching a child to walk, the child is rewarded first for crawling, then for standing up, and then for taking their first step. A group of biologists would like to recreate suitable habitats for wildlife in a particular area. they would also like to help fight climate change. to achieve these goals, the biologists decide to increase the density of trees and the canopy thickness in the area. which biodiversity restoration method should the biologists use? In lancaster, the library is 9 miles due south of the courthouse and 4 miles due west of thecommunity swimming pool. what is the distance between the courthouse and the communityswimming pool? if necessary, round the nearest tenth. solve for w in terms of u and vu = vww = What is the correct revision of this sentence?Tonight, we must get some sleep; Tomorrow, we ride to the shore.A. Tonight, we must get some sleep: Tomorrow, we ride to the shore. B. Tonight, we must get some sleep: tomorrow, we ride to the shore.C. Tonight, we must get some sleep; tomorrow, we ride to the shore.D. Tonight, we must get some sleep, tomorrow, we ride to the shore. Helppppp pls Give the slope of the graph and the unit rate. Express your answers as simplified fractions, if necessary.Jorge: 7 miles every 9 hours What element is often found on a pie chart paul made a list of chores he needs to complete before his dad comes home from work at 6:30 what is the latest time paul can do his chores before his dad comes home life tool manufacturing has a system in place to recall products that prove to be dangerous at some time after manufacture and distribution. this represents which element of the due care theory? group of answer choices Frederick Douglass's autobiography depicts the demeaning effect of slavery on both slaves and slave owners in order to convince which group to share the author's position?abolitionistspeople without strong views on slaveryforeign government officialshis fellow slaves Machado de Assis foi o principal escritor brasileiro do Realismo, marcando suas obrascom as seguintes caractersticas:a) Prosas poticas e preconceito de raa e cor.b) Abordagem das classes dominantes, romance psicolgico.c) Romance social, abordagem dos marginalizados.d) Crtica ao capitalismo selvagem. 12.7 x 500 SHOW YOUR WORK PLEASE Which graph shows the solution to the system of linear A five foot tall bear casts a 7 foot shadow. At what angle do the sun's rays hit the ground? Determine which trig function you would use, and solve the equation. Round to the nearest tenth. (*Hint: draw a picture.) undefined 45.5 degrees 545 degrees 35.5 degrees A sample of 300 babies born at a hospital is surveyed. 85% are born on or after their due date. What is the margin of error at a 90% confidence error? Find the equation that can represent the situation if the sum of two numbers is 56. We also know that the greater number is 4 more than the smaller number.(5 points) ax - (x + 4) = 56 bx (x - 4) = 56 cx (x + 4) = 56 dx + (x + 4) = 56