Which measurement is shorter?
800 centimeters
9 meters

Answer:

-22 x ( -58/209) = 116/19

Step-by-step explanation:

Answer:

3 jumps in 12 minutes

Step-by-step explanation:

Lets start by converting the rate of jumps in 10 hours to 1 hour. If we divide 150 by 10 we get 15 jumps per hour. We know there are 60 minutes in 1 hour so lets convert that rate. We divide 15 by 60 to get .25 jumps per minute. We then do .25 times 12 to get 3. So the answer is 3 jumps in 12 minutes.

An expression for the length of the rectangle in terms of A is \($\boxed{L=x+5}$\)

We are given that the area of a rectangle is \($A=x^2+x-15$\), and we want to find an expression for the length of the rectangle in terms of A.

Recall that the area of a rectangle is given by the formula: \($A=L\cdot W$\), where L is the length and W is the width. We can use this formula to write L in terms of A and W as \($L=\frac{A}{W}$\).

We know that the rectangle has a length and a width, so we need to find an expression for the width W in terms of A. We can rearrange the given formula for A to solve for W:

\(&& \text{(substitute }L=x+5\text{)}\)

\(W&=\frac{x^2+x-15}{x+5} && \text{(divide both sides by }x+5\text{)}\)

Now that we have an expression for W in terms of A, we can substitute it into our expression for L to get:

\(L&=\frac{A}{W}\)

\(&=\frac{x^2+x-15}{\frac{x^2+x-15}{x+5}} && \text{(substitute the expression we found for }W\text{)}\&=x+5\)

Therefore, an expression for the length of the rectangle in terms of A is \($\boxed{L=x+5}$\)

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(a) the required monthly loan payment on the car is approximately $528.23, (b)your friend still owes approximately $17,833.86 on the car loan after the 24th monthly payment, (c)it will take your friend approximately 23 months (rounded up to the nearest month) to pay off the remaining loan she owes after the 24th payment, given the increased monthly payment of $100.

(a) The required monthly loan payment on the car can be calculated using the formula for the monthly payment on a loan. Given a car loan of $28,000, financed at an interest rate of 0.50% per month for 60 months, the monthly payment can be determined using the following formula:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Plugging in the values, we have:

Monthly Payment = (28000 * 0.005) / (1 - (1 + 0.005)^(-60))

Calculating this, the required monthly loan payment on the car is approximately $528.23.

(b) After making the 24th monthly payment, your friend still owes a remaining balance on the car loan. To calculate this, we need to determine the remaining balance based on the number of payments made and the original loan amount. We can use the formula:

Remaining Balance = Loan Amount * (1 + Monthly Interest Rate)^Number of Payments - (Monthly Payment * ((1 + Monthly Interest Rate)^Number of Payments - 1) / Monthly Interest Rate)

Plugging in the values, we have:

Remaining Balance = 28000 * (1 + 0.005)^24 - (528.23 * ((1 + 0.005)^24 - 1) / 0.005)

Calculating this, your friend still owes approximately $17,833.86 on the car loan after the 24th monthly payment.

(c) If your friend decides to pay $100 more each month after the 24th payment, we can calculate the number of months it will take her to pay off the remaining loan balance. Using the increased monthly payment, we can calculate the new remaining balance and divide it by the increased monthly payment to determine the number of months needed to pay off the loan.

New Remaining Balance = Remaining Balance - (Monthly Payment + Additional Monthly Payment) * ((1 + Monthly Interest Rate)^Number of Payments - 1) / Monthly Interest Rate

Number of Months = New Remaining Balance / (Monthly Payment + Additional Monthly Payment)

Plugging in the values, we have:

New Remaining Balance = 17,833.86 - (528.23 + 100) * ((1 + 0.005)^x - 1) / 0.005

Number of Months = New Remaining Balance / (528.23 + 100)

By solving the equation, it will take your friend approximately 23 months (rounded up to the nearest month) to pay off the remaining loan she owes after the 24th payment, given the increased monthly payment of $100.

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Answer:

b = -18

Step-by-step explanation:

to find be you need to isolate the variable. First, you have to multiply both sides by 13 to cancel the denominator. Then, add 8 to both sides to cancel the negative 8 on the left. You should be left with what x equals.

-8+b/13(13) = -2(13)

-8+b = -26

+8       +8

b = -18

Answer:

b = -18

Step-by-step explanation:

First multiply 13 on both sides which will give you

-8 + b = -26

Then add 8 to both sides and will give the answer

b = -18

Answer:

True.

Explanation:

When solving equations with unknowns on both sides, it is generally recommended to first deal with the variable terms before dealing with the constant terms. This involves simplifying the equation by combining like terms and isolating the variable on one side of the equation. Once the variable is isolated, you can then solve for its value.\(\)

Answer:

5'6 and 5'0

Step-by-step explanation:

Put the graph in order of dots

4'11- 1

5'1- 1

5'3- 1

5'6- 1

5'0- 2

5'2- 2

5'5- 2

5'4- 5

The middle values are 5'6 and 5'0, so that should be the answer.

Answer:

5/8 or 0.625

Step-by-step explanation:

number of students in class=40

Boys=15

Girls = 40-15

40-15=25

25/40=5/8 or 0.625

The x-intercept is 5.5 and the y-intercept is -7.5 for the given line.

The point on a graph where a line or curve meets the y-axis or x-axis is referred to as an intercept in mathematics and statistics. It also goes by the names y-intercept and x-intercept.

The intercept is the value of y when x is 0 in a linear equation of the form y = mx + b. When the independent variable (x) is zero, the value of y is represented by the intercept term (b). Similarly, the x-intercept indicates the value of x when y is zero, and the constant term (a) reflects the value of x when the dependent variable (y) is zero in an equation of type x = a + by.

The x-axis is cut at point 5.5 by the straight line and the y-axis is cut by the line at -7.5.

Therefore, the x-intercept is 5.5 and the y-intercept is -7.5.

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The volume of the cone, with a radius of 9 feet and height of 6 feet, is approximately 1617.9 cubic feet.

To find the volume of a cone, you can use the formula V = (1/3)πr²h, where V represents the volume, r is the radius, and h is the height.

Given a cone with a radius of 9 feet and a height of 6 feet, we can substitute these values into the formula:

V = (1/3)π(9 ft)²(6 ft)

V = (1/3)π(81 ft²)(6 ft)

V = (1/3)π(486 ft³)

V ≈ 1617.9 ft³ (rounded to the nearest tenth)

Therefore, the volume of the cone, with a radius of 9 feet and height of 6 feet, is approximately 1617.9 cubic feet.

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There are a total of 36 boxes of popcorn with each box containing 2 popped kernels except for the last box which contains 1 popped kernel.

If there are 85 kernels in a pound of popcorn, then we can assume that there are 84 boxes of popcorn with each box containing one kernel less than the previous box. The last box will contain only one kernel.

Following formula should be used to find the sum of the first n natural numbers:

n(n+1)/2.

Therefore, the number of boxes required to hold all the popped kernels is given by solving the equation:

n(n+1)/2 = 84

Solutions for the quadratic equation can be found as:

n = -9 or n = 8

Since we cannot have a negative number of boxes, therefore, we take:

n = 8.

Therefore, there are a total of 36 boxes of popcorn with each box containing 2 popped kernels except for the last box which contains 1 popped kernel.

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The number of boxes required for the popped corn can be calculated by dividing the total number of popped kernels by the capacity of each box. To do this, we need to know the yield of the popcorn, which means the ratio of popped kernels to unpopped kernels.

Let's assume that the yield of the popcorn is 10:1, which means that for every 10 unpopped kernels, 1 kernel pops. Therefore, there would be 10 x 16 = 160 unpopped kernels in a pound of popcorn.

Assuming that each box can hold 100 popped kernels, we can calculate the total number of boxes required as follows: Total number of popped kernels = 1 lb of popcorn x 10 (yield) = 1600 popped kernels Number of boxes required = 1600 popped kernels ÷ 100 kernels per box = 16 boxes

Therefore, 16 boxes are needed to hold all the popped kernels. The last box will be partially filled, and the number of popped kernels in it can be calculated by subtracting the number of kernels in the other 15 boxes from the total number of popped kernels:

Number of kernels in the last box = 1600 popped kernels - (15 boxes x 100 kernels per box) = 100 popped kernels Hence, there are 16 boxes required to hold all the popped kernels, with the last box having 100 popped kernels in it.

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Answer:

number 1. 15 + 12.75x ≤ 45

Step-by-step explanation:

the boat company charges a first fee of $15 so they dont add on $15 per hour. the $15 is solid. they charge $12.75 per hour, so you dont know how many hours we will be renting the boat for, so the x goes on $12.75, since x in unknown, and number of hours is unknown. you want Jimmy to spend less then $45, since he dosent have more than that. so the only solution with 12.75x ≤ 45 is the first one.

sorry if its confusing, im  not always the best at explaning

Answer:

5h ≥ 10

Step-by-step explanation:

5 * h ≥ 10

≥ means greater than or equal to which is recognized in the question for " atleast"

Answer:

:Both Tim and Jasmine calculated the volume properly. Tim gave the exact answer with pi in it, whereas Jasmine multiplied by pi and then rounded

Step-by-step explanation:

Answer:  Both Tim and Jasmine calculated the volume properly. Tim gave the exact answer with pi in it, whereas Jasmine multiplied by pi and then rounded to the nearest hundreth.

Step-by-step explanation:

The probability of first a white bread without replacement and then selecting a blue bead is equal to 1/7

The probability of an event without replacement implies that once an item is drawn, then we do not replace it back to the sample space before drawing another item.

total number of beads = 15

probability of selecting a white = 6/15

probability of selecting a blue bead without replacing the first white = 5/14

probability of selecting a white without replacement and then a blue = 6/15 × 5/14

probability of selecting a white without replacement and then a blue = 1/7

Therefore, the probability of first a white bread without replacement and then selecting a blue bead is equal to 1/7

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Answer:

2/12

Step-by-step explanation:

The centipede that Maria measured was 1 1/12 inches long. If you convert this to an improper fraction it is equal to 13/12 inches. Now to find how much longer Maria's centipede was than Jeromes, you just take 11/12 and minus it from 13/12 which is equal to 2/12 of an inch.

Answer: 327680000x? sry i dont know what you want us to do

Step-by-step explanation:

Answer:

if u multiply:  640000

if its in extended from: 12418

if u multiply the extended from number times 5 : 501020540

Step-by-step explanation:

u weren't specific so i put a bunch of different strategies together but  pls explain and i will edit my answer to put the correct answer

The total interest is =$875.76

The ending balance due = $19075.76

The US rule states that the year will be calculated in 360 days and not 365

= 163,800/360

= $455

He owes $26,000+$455 = $26,455 but he pays $2,900 leaving him with a depth of $23,555 at day 70.

= 78438.15/360

=$217.88

So at this time he owes $23772.88, but pays off $4900 leaving with a balance on day 107 of $18872.88

It will be another 43 days till the note is due, therefore the interest that would the generated the remaining days =

$18872.88×0.09×43/360

= 73038.0456/360

= $202.88

Therefore at day 150 he is owing $18872.88 + $202.88 = $19075.76 ( ending balance due)

The total interest generated;

= $455+$217.88+$202.88

= $875.76

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Answer:

1/52

Step-by-step explanation:

52/4=13 theirs only 4 5s in a deck of cards so 13*4 is 52

We know that 1 inch = 0.083 feet

Therefore,

Thus the ratio is 0.83

To determine if the given points are part of the (200) plane, we need to check if their coordinates satisfy the equation of the plane.

The equation of a plane in three-dimensional space is typically written in the form Ax + By + Cz + D = 0, where A, B, C, and D are constants. For the (200) plane, the equation would be 2x + 0y + 0z + 0 = 0, which simplifies to 2x = 0. Let's check the given points: a) (1/2, 0, 0): When we substitute x = 1/2 into the equation 2x = 0, we get 2(1/2) = 0, which is true. Therefore, point a) lies on the (200) plane. b) (-1/3, 0, 0): Substituting x = -1/3 into the equation 2x = 0 gives us 2(-1/3) = 0, which is also true. So, point b) is part of the (200) plane. c) (0, 1, 0):When we substitute x = 0 into the equation 2x = 0, we get 2(0) = 0, which is true. Thus, point c) lies on the (200) plane. All three given points (a), b), and c)) are part of the (200) plane.

In conclusion, all three given points (a), b), and c)) are part of the (200) plane.

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Answer:

2.25$

Step-by-step explanation:

54 divided by 24 is 2.25$

could i get a heart and branliest please?

Answer:

$2.24 per pound of cat food

Step-by-step explanation:

You just divide the price from the amount of pounds of cat food.

Answer:

Step-by-step explanation:

the answer is 5]

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Gets Narrow, and opens opposite direction

Answer:

Step-by-step explanation:

24=6*4

2*2*2*3

108=2*2*3*3*3

gcf=12

The system of inequalities becomes for the daisy and carnation bouquets are; x + y ≤ 40 and x ≤ 12.

The condition given are-

There are seldom more than 40 daisy mixed carnation bouquets available at the neighbourhood florist.

x + y ≤ 40.

No more than 12 bouquets of carnations.

x ≤ 12

Then, system of inequalities becomes for the daisy and carnation bouquets are; x + y ≤ 40 and x ≤ 12.

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Answer:

weca

Step-by-step explanation:

scfcsdc

A)the mass of $700 billion worth of gold is approximately 24,822,695,035.5 grams. B)The actual length will depend on the exact density of gold and the accuracy of the provided values.

A) In order to calculate the mass of $700 billion worth of gold, we need to convert the dollar value into grams.

To do this, we first need to determine the price of gold per gram. Given that gold was worth $800 per ounce ($28.20 per gram), we can use this conversion factor to calculate the mass.

$800 per ounce is equivalent to $28.20 per gram. Therefore, 1 gram of gold is worth $28.20.

Next, we can divide the total dollar value ($700 billion) by the value of 1 gram of gold ($28.20) to find the mass in grams.

$700 billion / $28.20 per gram = 24,822,695,035.5 grams

So, the mass of $700 billion worth of gold is approximately 24,822,695,035.5 grams.

B)Moving on to the second part of the question, if this amount of gold were in the shape of a cube, we need to calculate the length of each side of the cube.

To find the length, we can use the formula for the volume of a cube, which is side length cubed. Since we know the mass of the gold (24,822,695,035.5 grams), we need to calculate the side length.

Let's assume the density of gold is 19.32 grams per cubic centimeter (g/cm³). By dividing the mass of the gold (24,822,695,035.5 grams) by the density (19.32 g/cm³), we can find the volume of the gold in cubic centimeters.

Volume = Mass / Density = 24,822,695,035.5 g / 19.32 g/cm³

By solving this equation, we can find the volume of the gold.

Finally, we can use the volume of the gold to calculate the length of each side of the cube by taking the cube root of the volume.

This will give us the length of each side of the cube formed by the given amount of gold.

The actual length will depend on the exact density of gold and the accuracy of the provided values. The above calculation is an example based on the given information.

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Answer:

1. y = -3x + 5

2. y = 1/4x - 2

Step-by-step explanation:

y=mx+b

1. 5 = -3(0) + b, so b = 5

y = -3x + 5

2. (-2-(-1))/(0-4) = -1/-4 = 1/4

-2 = 1/4(0) + b, so b = -2

y = 1/4x - 2

Answer: -3x+5

                1/4x - 2

Step-by-step explanation:

Answer: Below

Step-by-step explanation:

11x + 12

Hope this helped!