Forty five children attend a preschool. The number of two year olds is one half the number of three year olds. The number of four year olds is the same as the number of three year olds.

Answer:

-4

Step-by-step explanation:

y-3=-4(x-5)

y=-4x+20+3

y=-4x+23

y=mx+b where m=slope and b=y-intercept

Answer:

e=-2

Step-by-step explanation:

9e-7=7e-11

9e-7e-7=-11

2e-7=-11

2e=-11+7

2e=-4

e=-4/2

e=-2

Answer:

e=2

Step-by-step explanation:

Answer:the answer is 40

Step-by-step explanation:

Because you do 5 times x

Answer:-9

Step-by-step explanation:5x+3-48 you do 3-48 you get -45 then you divide 5x by -45 and you get the final answer of -9.

Answer:

5 2/3........................

Answer:

-40.5, 60.75, -91.125

Step-by-step explanation:

first you want to find the common difference. So just divide 12 by -8, which is -1.5 and then multiply 27 by -1.5, which is -40.5 and continue two more times.

Answer:

Step-by-step explanation:

7 purple to 4 red = x purple to 32 red

7 / 4 = x / 32....cross multiply because this is a proportion

(4)(x) = (7)(32)

4x = 224

x = 224/4

x = 56 purple <==

Final answer:

To find the number of purple marbles in a bag that has 32 red marbles, given the ratio of 7 purple marbles for every 4 red marbles, simply divide 32 by 4 to find the number of sets and multiply by 7. The bag will contain 56 purple marbles.

Explanation:

Given the ratio of 7 purple marbles to 4 red marbles in a bag sold by Latoya's Marble Company, we can determine the number of purple marbles if a bag has 32 red marbles. To do this, we need to use the ratio to find out how many times the number of red marbles fits into the given amount and then multiply that number by the amount of purple marbles in the ratio.

Step-by-Step Calculation:

Start with the given ratio: 7 purple marbles for every 4 red marbles.

Determine how many sets of 4 red marbles there are in 32 red marbles by dividing 32 by 4, which is 8.

Since there are 7 purple marbles for every set, multiply 7 by the number of sets, which is 8.

The result is 56 purple marbles.

Therefore, a bag with 32 red marbles will contain 56 purple marbles.

Answer:

He have 15 action games and 24 sports games.

Step-by-step explanation:

Given:

Ryan has a mix of action and sports games for a total of 39 video games his action collection is three more than half his sports collection.

Now, to find the number of action games and sports games.

Let the sports games be [tex]x.[/tex]

As, given his action collection is three more than half his sports collection.

Thus, the action games = [tex]3+\frac{x}{2}[/tex] .

Total number of video games = 39.

So, we set an equation to get the number of action games and sports games:

[tex]x+(3+\frac{x}{2})=39[/tex]

[tex]x+3+\frac{x}{2} =39[/tex]

Subtracting both sides by 3 we get:

[tex]x+\frac{x}{2} =36[/tex]

[tex]\frac{2x+x}{2}=36[/tex]

[tex]\frac{3x}{2} =36[/tex]

Multiplying both sides by 2 we get:

[tex]3x=72[/tex]

Dividing both sides by 3 we get:

[tex]x=24.[/tex]

The sports games he have = 24.

Now, to get the action games we substitute the value of [tex]x[/tex]:

[tex]3+\frac{x}{2}[/tex]

= [tex]3+\frac{24}{2}[/tex]

= [tex]3+12[/tex]

= [tex]15.[/tex]

The action games he have = 15.

Therefore, he have 15 action games and 24 sports games.

The problem involves a basic algebraic system of equations. By defining variables, setting up the equations based on the problem statement, and solving the system, it is found that Ryan has 24 sports games and 15 action games.

This is a problem related to the field of algebra in mathematics. To find the answer, we first need to assign variables: let's denote the number of sports games as 's' and the number of action games as 'a'.

From the problem, we know that the total number of sports and action games is 39, which can be written in algebra as: a + s = 39.

Also, the problem states that the number of action games is three more than half of the number of sports games. That means, a = s/2 + 3.

Now we need to solve this system of equations. Substituting the second equation into the first (replacing 'a' in the equation 'a + s = 39' with 's/2 + 3'), we get s/2 + 3 + s = 39. Solving this equation for 's', we find that Ryan has 24 sports games.

Substitute s = 24 into the first equation we got 'a + 24 = 39' . Solving this for 'a', we find that Ryan has 15 action games.

Therefore, Ryan has 24 sports games and 15 action games.

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Answer:

C

Step-by-step explanation:

The scale for graph A is 500 and the scale of graph B is by 500000 making it very unrepresentative

Answer:

m=47

Step-by-step explanation:

Answer:

m=47

Step-by-step explanation:

Answer:

The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.

Step-by-step explanation:

The Pentagon has five sides, each measuring 921 feet. To find the walking distance around its exterior, multiply the length of one side by five. The total distance is 4605 feet.

The student is asking about the walking distance around the exterior of the Pentagon, a five-sided building. Given that each side of the Pentagon measures 921 feet, we would calculate the perimeter for the distance by multiplying the length of one side by the number of sides.

To find the walking distance around the Pentagon we perform this calculation:

Perimeter of Pentagon = Side Length  × Number of Sides

Perimeter of Pentagon = 921 feet× 5

Perimeter of Pentagon = 4605 feet

Therefore, the walking distance around the Pentagon is 4605 feet.

Answer:

see the attached pictures please

Step-by-step explanation:

Bob's points per game are

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

Calculating Median:

As the median is the middle number in a sorted list of numbers when there is an odd number of terms.

As the the total number of terms = 37

Therefore, the median is the center term which is 10.

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

Calculating Range:

As the given data

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

The range is the difference between the highest and lowest values in the data set.

The lowest value is 5

The highest value is 15

The range = 15 - 5 = 10

Calculating the interquartile range (IQR)

The interquartile range is the difference between the third and first quartiles.

So, the bottom half is

5   7   7   7   8   8   8   8   8   9   9   9   9   9   10   10   10   10  

The median of these numbers is 8.5

So, the upper half is

10   11   11   11   11   11   12   12   12   12   13   13   13   14   14   14   15   15  

The median of these numbers is 12

As

The third quartile is 12

The first quartile is 8.5

Therefore,

The interquartile range = 12 - 8.5 = 3.5

Finding Mode

As the given data

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

The mode of a set of data is the value in the set that occurs most often.

So, It is bimodal.

Therefore, the mode is 10.

Finding Mean

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

[tex]Mean=Sum\:of\:terms\:\div Number\:of\:terms[/tex]

[tex]Sum\:of\:terms\:=\:385[/tex]

[tex]Number\:of\:terms\:=\:37[/tex]

[tex]Mean\:=\:\frac{385}{37}=10.4[/tex]

Determining whether the data is symmetrical or non-symmetrical

The data is non-symmetric, they do not have about the same shape on either side of the middle. In other words, if you fold the histogram in half, it does not look about the same on both sides. Please check the histogram attached below.

Calculating Mean Absolute Deviation

The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean.

As the given data

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

Population size = 37

[tex]Mean=10.4[/tex]

Mean Absolute Deviation (MAD): 2.0

Keywords: mode, median, mean, non-symmetrical data, range, Interquartile Range (IQR)

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Answer:

12.7 degrees

Step-by-step explanation:

there are 180 degrees in a straight line, and since the angle opposite a is 167.3, we subtract that from 180 and we get 12.7

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=457.17\\ h = 15 \end{cases}\implies 457.17=\cfrac{\pi r^2(15)}{3}\implies 457.17=5\pi r^2 \\\\\\ \cfrac{457.17}{5\pi }=r^2\implies \sqrt{\cfrac{457.17}{5\pi }}=r\implies 5.39 \approx r~\hfill \boxed{\stackrel{diameter = 2r}{2(5.39) = 10.78}}[/tex]

Answer:

85

Step-by-step explanation:

All triangles equal 180

Answer:

85

Step-by-step explanation:

(A triangle is 180 degrees)

52 + 43 = 95

180 - 95 = 85

Answer:

The side length of the original square was 6 inches

Step-by-step explanation:

we know that

The area of a square is

[tex]A=b^2[/tex]

where

b is the length side of the square

Let

x ---> the length of the original square

The area of the original square is

[tex]A=x^{2}\ in^2[/tex]

The length of the smaller square is

[tex]b=(x-3)\ in[/tex]

The area of the smaller square is

[tex]A=(x-3)^2\ in^2[/tex]

The area of the smaller square is 1/4 the area of the original square

so

[tex](x-3)^2=\frac{1}{4} x^{2}[/tex]

solve for x

[tex]x^2-6x+9=\frac{1}{4} x^{2}[/tex]

Multiply by 4 both sides

[tex]4x^2-24x+36=x^{2}[/tex]

[tex]4x^2-x^2-24x+36=0\\3x^2-24x+36=0[/tex]

Solve the quadratic equation by graphing

using a graphing tool

x=2, x=6

see the attached figure

The solution is x=6 in

Remember that the solution must be greater than 3 inches (because Stacey cuts  3 inches off of the length of the square and 3 inches off of the width)

therefore

The side length of the original square was 6 inches

Answer:

Let's simplify step-by-step.

0.8x+19−0.7x

=0.8x+19+−0.7x

Combine Like Terms:

=0.8x+19+−0.7x

=(0.8x+−0.7x)+(19)

=0.1x+19

Answer:

=0.1x+19

Step-by-step explanation:

I hooe it helps plz Mark me brainliest

Answer: x = 2 , y = 5

Step-by-step explanation:

10x - 2y = 24 ..................... equation 1

6x + 2y = 8 ........................ equation 2

solving the system of linear equation by elimination method , add equation 1 and 2

16x = 32

divide through by 16

x = 2

substitute x = 2 into equation 1 to find the value of y

10(2) - 2y = 2y

20 - 2y = 2y

20 = 4y

y = 5

9m = 6.48

Divide both sides by 9:

m = 0.72

19m = 13.68

Divide both sides by 19:

m = 0.72

So a one minute call costs 72 cents. We can now set up an equation like this:

c = 0.72m

Answer: yes

Step-by-step explanation: the expressions are equivalent because they both simplify to 11x^2 +3y

Yes, the expressions  [tex]8x^2 + 3(x^2 + y) and 7x^2 + 7y + 4x^2-4y[/tex]-  are equivalent.

To see the equivalence, we can simplify both expressions.

Start with the first expression: [tex]8x^2 + 3(x^2 + y)[/tex].

Distribute the 3 inside the parentheses: [tex]8x^2 + 3x^2 + 3y[/tex].

Now, combine like terms: [tex]11x^2 + 3y[/tex].

Now, let's simplify the second expression: [tex]7x^2 + 7y + 4x^2 - 4y[/tex].

Combine like terms: [tex]7x^2 + 4x^2 + 7y - 4y[/tex], which also results in [tex]11x^2 + 3y[/tex].

Both expressions simplify to the same form, [tex]11x^2 + 3y[/tex], which demonstrates their equivalence.

The coefficients and variables are the same in both expressions, just arranged differently, but they yield the same result when simplified.

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Answer:

C.

[tex]f(x)=\left\{\begin{array}{l}\dfrac{1}{2}x-3,\ \ x<2\\ \\3x-8,\ \ x\ge 2\end{array}\right.[/tex]

Step-by-step explanation:

The graph of the piecewise function consists of two linear functions which graphs meets at point with x-coordinate x = 2.

1. The left linear function is determined for all x < 2 and is passing through the points (0,-3) and (-2,-4). So, its slope is

[tex]\dfrac{-4-(-3)}{-2-0}=\dfrac{-1}{-2}=\dfrac{1}{2}[/tex]

and its equation is

[tex]y-(-3)=\dfrac{1}{2}(x-0)\\ \\y=\dfrac{1}{2}x-3[/tex]

2. The right linear function is determined for all x ≥ 2 and is passing through the points (2,-2) and (3,1). So, its slope is

[tex]\dfrac{1-(-2)}{3-2}=\dfrac{3}{1}=3[/tex]

and its equation is

[tex]y-1=3(x-3)\\ \\y=3x-8[/tex]

3. Hence, the expression for the piece-wise function is

[tex]f(x)=\left\{\begin{array}{l}\dfrac{1}{2}x-3,\ \ x<2\\ \\3x-8,\ \ x\ge 2\end{array}\right.[/tex]

The slope of a line is the rate of change. The correct option is the first option.

The slope of a line is the rate of change, also it can be described as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

In order to know the correct option of function that describes the graph, we will find the function of the graph, therefore,

Let's find the equation of the first function that is on the left side of the graph.

We know that the slope of the line is given by the formula,

[tex]\text{Slope of the line} = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Considering the two of the points of the slope,

[tex](x_1, y_1) = (2,-2)\\(x_2, y_2) = (-4,-5)\\[/tex]

Substituting the values to know that slope of the line, therefore,

[tex]\text{Slope of the line}, m= \dfrac{-5-(-2)}{-4-2} = \dfrac{-3}{-6} = \dfrac{1}{2}[/tex]

Now, using one of the points to know the value of the constant,

[tex]y=mx+c\\y_2 = mx_2+c\\-5=(\dfrac{1}{2}\times -4)+c\\-5=-2+c\\-3=c[/tex]

Hence, the equation that will represent the graph for the values of x less than -2 is [tex]y=\dfrac{1}{2}x-3[/tex].

Since, there are only two options that match this condition, the first option and the third option, now other functions will represent the rest of the graph, therefore, for the value of x greater than -2 (x≥-2).

Hence, the correct option is the first option.

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Answer:

The straight line distance between the school and the candy store is 5.

Step-by-step explanation:

Use Pythagorean theorem

a²+b²=c²

3²+4²=c²

9+16=c²

25=c²

5=c

The straight line distance between the school and the candy store will be 5 miles.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

After school, Isaac skateboards directly from school to an ice cream parlor and then from the ice cream parlor to a candy store.

The ice cream parlor is 3 miles south of the school and the candy store is 4 miles east of the ice cream parlor.

Then the straight line distance between the school and the candy store will be

[tex]\rightarrow \sqrt{4^2 + 3^2}\\\\\rightarrow \sqrt{16 + 9}\\\\\rightarrow \sqrt{25}\\\\\rightarrow 5[/tex]

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Answer:

a = 44.1 cm

Step-by-step explanation:

Using the Law of Sines is the way to go, but before you use it we need the measure of angle A.

180 - 102 - 28 = A so

A = 50 degrees.  Now setting up the Law:

 and cross multiply to get

27sin50 = asin28 and

so,

a = 44.1 cm

(this isn't my answer, cr Luv2Teach on brainly. i just saw that the same question was posted and was already answered)

Answer:

I believe the answer to this question is: (-3,1) X=-3, Y=1.

Answer:

Step-by-step explanation:

i don't know I am a forth grader

Answer:

Step-by-step explanation:

F(x) = 3x + 5

G(x) = 4x^2 - 2

H(x) = x^2 - 3x + 1

F(x) + G(x) - H(x) =

3x + 5 + 4x^2 - 2 - (x^2 - 3x + 1) =

3x + 5 + 4x^2 - 2 - x^2 + 3x - 1 =

3x^2 + 6x + 2 <===== ur answer

Answer:

it's a D

Step-by-step explanation:

3x^2+6x+2

Answer:

x = -4

Step-by-step explanation:

solving simultaneously