It's moving day and Lydia has packed her books into large and small boxes.
The large boxes hold 35 books, and the small ones hold 20 books. She
packed her 420 books into 18 boxes. How many are large, and how many are
smallt

Answer:

55.55%= boys & 44.44% = girl

Step-by-step explanation:

1000/(1000+800)=1000/1800=.5555 or 55.55% are boys

800/(1000+800)=800/1800=.4444 or 44.44% are girls.

Therefore, 55,55% are boys and 44.44% are girls.

Answer:

Step-by-step explanation:

The correct definition of perpendicular lines is option 1: "Two lines that intersect in a way that forms right angles."

When two lines intersect to form four right angles (90-degree angles), they are said to be perpendicular to each other. The point at which the lines intersect is called the point of intersection.

Therefore, option 1 is the correct definitation of perpendicular lines.

Answer: 1. Two lines that intersect in a way that forms right angles.

Step-by-step explanation:

Hope this helped! :)

Answer:

The inverse is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x) = (x+3)^5

Finding the inverse,

\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)

We replace x with y and vice versa

so,

\(x = (y+3)^5\)

Solving for y,

the the 5th root,

\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)

hence the inverse function is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x)=(x+3)×5

Y=5X+15

now

interxchanging x and y we get,

x=5y+15

5y=x-15

y=x-15/5

therefor f~1(x)=x-15/5

Answer:

20

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

Answer: She started with 28 pieces of candy.

Step-by-step explanation: In the beginning of the question it says that heather took 8 pieces. Then she divided the rest evenly amongst her 5 kids. Each received 4, so that make the equation 8+(5x4) which gives us 8+(20). Or 8+20 which is 28.

Answer:

She started with 28 candies.

Explanation:

Let the total amount of candies be c

Build equation:

→ remaining: c - 8

→ each gets: (c - 8)/5

Here given each gets 4 candies

So,

(c - 8)/5 = 4

c - 8 = 5(4)

c - 8 = 20

c = 20 + 8

c = 28

The value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We can use the altitude rule:

8/n = n/4

n² = 32

n = √32

Thus, the value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.

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9514 1404 393

Answer:

  12 days

Step-by-step explanation:

The time is found by dividing the quantity by the rate of usage.

  (3 gal)/(1/4 gal/day) = 3·4 day = 12 day

The tea will last for 12 days.

Number of tenths are in the sum is 8

The decimal numeral system is the standard system for denoting integer and non-integer numbers.

Addition is the action or process of adding something to something else.

Given,

The numbers 0.65 and 0.24

Add them together

0.65 + 0.24 = 0.89

Here the number is a decimal number that is 0.89

If a number has a decimal point , then the first digit to the right of the decimal point indicates the number of tenths.

Therefore number 8 is in the tenth place

Hence, the number of tenths in the sum is 8

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Answer:

1. Slope = -2 , y-intercept = 1

2. Slope = 5 , y-intercept = -15

3. Slope = 1.5 , y-intercept = -2

4. Slope = -3 , y-intercept = 9

Step-by-step explanation:

1. The slope is -2 because using the formula y₁-y₂÷x₁-x₂ you can use the points given to you to get -2. It doesn't matter which one you pick as y1 or y2, just make sure you keep it consistent with the x numberings. I did 1--3 (which becomes 1+3) and 0-2. Those equal 4/-2 which gives you -2. Use these same steps for all of them, but with ones that don't have the points given, just pick two that are whole numbers and not decimals. For finding the y-intercept, just find the point that is on the y axis line. It is given on number one as (0,1). So, the y-intercept is 1. Hope this helps!

ANSWER

(-1, 7) and (4, 32)

EXPLANATION

We are given the function:

y = 5x + 12

Coordinate points are written in the form (x, y), so, to find the points that lie on the graph of the function, we have to input each of the x values and see if the given y values match it.

(-2, 22): when x = -2, y = 22:

y = 5(-2) + 12

y = -10 + 12

y = 2

It is not on the graph.

(-1, 7): when x = -1, y = 7:

y = 5(-1) + 12 = -5 + 12

y = 7

It is on the graph.

(0, 17): when x = 0, y = 17:

y = 5(0) + 12 = 0 + 12

y = 12

It is not on the graph.

(3, 15): when x = 3, y = 15:

y = 5(3) + 12 = 15 + 12

y = 27

It is not on the graph.

(4, 32): when x = 4, y = 32:

y = 5(4) + 12 = 20 + 12

y = 32

It is on the graph.

The correct answers are (-1, 7) and (4, 32)

Answer:

22 cents per mile

Step-by-step explanation:

to get this answer, divide 17.60 by 4 to get the unit rate, or the rate when x=1.

Note that the notation   "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.

∪C : This represents the  union (∪) of the sets in C.

{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.

It states that an element x belongs to the union of   sets in C if and only if x belongs to at least one set S that is an   element of the set C.

= ∪{ S:S ∈ C}   : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.

In summary,  the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.

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Answer:

3.25

Step-by-step explanation:

Since the triangles are similar the corresponding sides can be multiplied by a ratio to get the length

1). 5 divided by 1.25 is equal to 4. Alternatively you could do 12 divided by 3 is equal to 4.

2). Therefore you can take CA, which is similar to ZX, and take the length of CA which is 13. So you take 13 and divide it by 4 to get an answer of 3.25 for ZX.  

Answer: The correct answer would be 3.25

the needed integral that uses the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves is \(\int\limits^1_6{2\pi (y-8)(3\sqrt[3]{y} )} \, dy\).

we are given curves 27y = x³, y = 0 x = 6

the region is rotated about the line along is y = 8

so here, we need to use the shell method formula by which we get ,

\(\int\limits^b_a {2\pi rh} \, dy\)

since we know that the region is rotated along the line y = 8, therefore we need to solve the given curve for x

we need to take cube root on both sides.

the we get the radius of the given region is y - 8 and the height is x = 3\(\sqrt[3]{y}\)

then the needed integral that uses the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves is \(\int\limits^1_6{2\pi (y-8)(3\sqrt[3]{y} )} \, dy\).

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Answer:

Georgia's brother  > 176 Ounces

Step-by-step explanation:

He weighed LESS THAN 11 pounds, which is equal to 176 ounces. He must have weighed 175 ounces or less.

Answer:

0<x<176

Step-by-step explanation:

Answer:

C - 403

Step-by-step explanation:

When Tanvir applies the distributive property to the left-hand side of the equation, 1/3(3q+15)=101, the equation that shows the correct application is equation 4: q+5=101.

The distributive property applies basic mathematical operations, especially in equations.

This property is that when a value is multiplied or divided by a number to a set that will be added or subtracted, the result is the same, notwithstanding if the operation is done before the addition or subtraction.

1/3(3q+15) = 101

(3q/3+15/3) = 101

= q + 5 = 101

q = 96

Check of Distributive Property:

1/3(3q+15) = 101

1/3(3 x 96+15) = 101

= 1 x 96 + 5 = 101

= 96 + 5 = 101

= 101 = 101

Or: 1/3(3q+15) = 101

1/3(3 x 96+15) = 101

= 1/3(288 + 15) = 101

= 1/3(303) = 101

= 101 = 101

Thus, the equation that correctly applies the distributive property is equation 4: q+5=101.

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Answer:

5 2/10 or 520%

Step-by-step explanation:

The Solution:

The radius of the earth (R) = 6378 kilometers.

Comparing the size of the earth to that of the moon by their volumes

We have the volume of the earth as below:

Assumption: The earth is spherical.

In this case,

r=radius of the earth =6378km

V=volume of the earth =?

Substituting these values in the formula, we get

To find how big the moon is, we shall divide the volume of the earth by 25 since the earth is bigger than the moon by 25 times.

Therefore, the correct answer is

Answer:

365.308 km

Explanation:

If you convert 140 miles into kilometers you get 225.308 km. Then you just have to add 140 and 225.308 together to get your answer. Hope this helped.

Option A. The only graph that could represent the function with the zeros of -2 and 4 is the graph is : A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10).

The zeros of a quadratic function are the x-values where the function equals zero (where it crosses the x-axis). In this case, you mentioned that the zeros of the function are -2 and 4.

Looking at the provided options:

A. This graph crosses the x-axis at (-2, 0) and (4, 0), which are indeed the zeros of the function. Therefore, this could be a possible representation of the function.

B. This graph crosses the x-axis at (-4, 0) and (2, 0). These are not the zeros given for the function (-2 and 4), so this graph is not a possible representation of the function.

C. This graph crosses the x-axis at (-4, 0), but it never crosses at x=4. Instead, it crosses at x=2. Therefore, this is not a possible representation of the function.

D. This graph crosses the x-axis at (2, 0), but does not cross the x-axis at x=-2. Therefore, this is not a possible representation of the function.

So, the only graph that could represent the function with the zeros of -2 and 4 is the graph provided in Option A.

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Answer:

Base rate: $120

Rate: $2 per person

Equation: f(x)=2x+120

Step-by-step explanation:

If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40.  This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).

These values correspond to a base rate for the bus of $120.

The function for the cost per bus with x number of people on it would be:

\(f(x)=2x+100\)

This can be checked by using the values given in the problem:

\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)

The base rate of $120 and $2 per person satisfies the given equation and established values.

Answer:

1728

Hope this helps :)

Answer:

The domain of the graph is all real numbers.

Step-by-step explanation:

The equation that is set for this problem is y = |x+2| − 4. When finding the domain and range of this function, the domain and range is:

Domain: (−∞,∞), {x|x∈ℝ}  ⇒ (The domain (x-values) is all real numbers

Range: [−4,∞), {y|y≥−4}  ⇒  (The range (y-values) need to be greater than or equal to −4)

So, according to this information and we look at the statements, out of the four, the correct option is “the domain of the graph is all real numbers”.

Hope this helps! :)

Answer:

DONT LISTEN TO OTHER GUY real answer is C :The range and domain of the graph are the same

Step-by-step explanation:

the answer is D

The figure can be divided into a rectangle and 2 triangles

Answer: The first 3 are functions. The last one is not a function

Step-by-step explanation: What you can do is the line test. If you draw a line through it, the line shouldn't touch the arrow twice. Like the last one, it touches the line twice, so it is not a function

Answer:

A

32/16=2.

Or it could be B, but I'm thinking mainly A