5-74.The number of girls at Middle SchoolCyber Summer Camp was six morethan twice the number of boys. Therewere a total of 156 middle schoolstudents at the camp. Use the 5-DProcess to find the number of boysand the number of girls at camp.

Give the radius of a circle, r, we can find its area by using:

In the picture, the 30 ft segment passes from on side of the circle to the other passing thourhg tht center, so it is the diameter. The radius is half the diameter, so:

Now, we can use the formula for the area to find it:

So, the area is approximately 706.9 ft².

Answer: .1$ so 10cents

Step-by-step explanation:

The function representing the volume of the rectangular prism is given to be:

Since we are expected to find the volume using the graph, we can prepare a table of values for the function using values of h as integers from 1 - 5, such that:

The completed table is shown below:

Hence, we can plot these points on a graph using a graphing calculator for ease of work. This is shown below:

The maximum volume of the prism is represented by the highest point on the graph. The graph's highest point is at:

The corresponding value for the volume as can be seen on the graph is:

This is the maximum volume of the prism.

To the nearest cubic foot, the maximum volume of the rectangular prism is 24 cubic feet.

Supplementary angles sum up to 180 degrees.

Since mZA and mZB are given to be (8x - 27) and (4x + 3) respectively, we need to know the value of x to be able to find

Supplementary angles sum up to 180 degrees.

Since mZA and mZB are given to be (8x - 27) and (4x + 3) respectively, we need to know the value of x to be able to find

When two figures are similar, the relation or proportion between same measures is the same. So answer is option d.

Answer:

Step-by-step explanation:

22.57 cm inches are the net weight of the slope

The ratio between MD and DC IS

The ratio of ON to LN

The ratio CM to CD

The ratio of OL to LN

To make the

Given the modulus function expressed as:

Since the function is a modulus function, the dependent variables "y" will all be a positive value

Using the values of x to be -5, 8, and 13 to determine the ordered pairs

When x = -5

y = |-5 - 8|

y = |-13|

y = 13

The first ordered pair will be (-5, 13)

If x = 8

y = |8 - 8|

y = |0|

y = 0

The second ordered pair will be (8, 0)

If x = 13

y = |13 - 8|

y = |5|

y = 5

The third ordered pair will be at (13, 5)

The graph of the function is as shown below:

Answer:

The slope is 5.

Step-by-step explanation:

To solve this, you could have plotted the two points, drew a line between them, and then calculated the slope by counting on the graph the line's rise/run.

To slove this by finding the slope with the points:

(5 - 0) / (0 - - 1) = 5 / 1 = 5

The slope is 5

given the expression

we are loking 2 numbers whose multiplication is equal to 12

and other 2 number whose multiplication is equal to 21

the sum of the cross multiplication is equal of 19, as follows

factor is

correct answer option B

Answer:

Completing the table we have;

Explanation:

Given the table in the attached image, we want to complete the table;

For period 1;

simple interest;

Compound interest;

For period 2;

simple interest;

compound interest;

Total interest

simple interest;

Compound Interest;

Therefore, completing the table we have;

Answer:

6 +2v

Step-by-step explanation:

This is distributive property. That means you will multiply each term inside the parentheses by the term on the outside of the parentheses.

2(3 + v)

2(3) + 2(v)

6 +2v

The triangles KMP and AYC, are congruent angles, because we are told that:

Thus, to find our answers we compare both triangles.

a) KM is approximately equal to AC.

That is because, as we can see in the following image, they are corresponding sides:

b) CY is approximately equal to MP.

That is because they are corresponding sides, they are the short side of each triangle. And since the triangles are equal, CY and MP are also equal:

c) for the same reasons as the previous two, PK anf AY, are corresponding sides:

d) and e)

The corresponding angles of Y and K are represented in the following image:

rrespon

To solve for j'

4j + 2 = h

subtract 2 from both-side of the equation

4j + 2-2 = h -2

4j = h-2

divide both-side of the equation by 4

4j/4 = h-2/4

The probability of the girl being born to a couple is 0.949. Yes, it is effective in increasing the likelihood that the baby will be a girl as the number of girls is more than the number of boys.

What is probability?

Probability means possibility. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Given

In a test of sex-selection technique, results consisted of 284 female babies and 15 baby boys.

Total children = 284 + 15 = 299

The probability of the girl being born to a couple will be

[tex]P = \frac{284}{299}[/tex]

P = 0.9498

Thus, the probability of the girl being born to a couple is 0.9498.

Yes, it is effective in increasing the likelihood that the baby will be a girl as the number of girls is more than the number of boys.

To learn more about the probability link is given below.

brainly.com/question/795909

#SPJ1

Answer: The Curved Line on Top

Step-by-step explanation: A positive-valued function of a real variable. So the top one

Just learned about this in Algebra 1 about 4 days ago.

Let W be the time of the wong family and N the time of the Nguyen family. We are told that the output rate of the Wong family is 35 L/h and the output for the Nguyen family is 20 L/h, if the total water output is 2100 L, then we can write this mathematically as:

Where "35W" is the total water output of the wong family and "20N" is the total water output of the Nguyen family. The two outputs combined must be 2100. We are also told that the total time is 75 hours, therefore we have:

We get a system of two equations and two variables. We can solve for "W" in equation (2), by subtracting "N" from both sides:

Now we can replace this value in equation (1):

Now we apply the distributive property:

Now we add like terms;

Now we subtract 2625 from both sides:

Now we divide both sides by 15:

Now we replace this value in equation (2) where we already solved for W:

Therefore, the time for the Wong family is 40 hours and the Nguyen family is 35 hours.

Statement Problem: Does the relation in the table represent direct variation, inverse variation, or neither? If it is direct or inverse variation, write an equation to represent the relation. Explain your answer.

Solution;

We observe that as the value of x is increasing, the value of y is decreasing. Hence, it has a feature of an inverse variation.

When two variables are inversely related;

But;

Thus, we have;

Thus, the equation to represent the information is;

The equation to represent the information is;

If two polygons are similar with the lengths of corresponding sides, we need to find the ratio between both figures:

Then:

So, the ratio is 5:3

The perimeter of LMNPQ is the same to say :

P of ABCDE = 25.2cm

Use the ratio

P of LMNPQ = 25.2 (5/3) cm

Then P = 42 cm

Monthly salary = $1120

Comission percentage = 14%

Janet's sales = $94,100

1. Amount of commission

Multiply the sales amount (94,100) by the Commission percentage in decimal form (divided by 100).

94,100 x (14/100) =

94,100 x 0.14 = $13,174

2. Gross pay

Add the amount of commission and the monthly salary:

13,174+1120 = $14,294

Since the events are independent, we have the following property:

That is, the probability of A is the same as the probability of A given B (since the events are independent, event B does not affect event A).

So, if P(A) = 0.3, therefore P(A|B) is also equal to 0.3.

Answer:

The answer will be D because you have to look very close and make sure the 1 is on the x-intercept and not the y-intercept.

Answer:

[tex]y-10=\dfrac{1}{3}(x-9)[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4.4cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\\\end{minipage}}[/tex]

To find the equation of a line that passes through two given points, first find its slope by substituting the given points into the slope formula.

Define the points:

Substitute the points into the slope formula:

[tex]\implies m=\dfrac{9-10}{6-9}=\dfrac{-1}{-3}=\dfrac{1}{3}[/tex]

Therefore, the slope of the line is ¹/₃.

[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}[/tex]

To find the equation in point-slope form, simply substitute the found slope and one of the given points into the point-slope formula:

[tex]\implies y-10=\dfrac{1}{3}(x-9)[/tex]

Given that the triangles are similar, then their corresponding sides are in proportion, that is,

Substituting with data and solving for BX:

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Expression:

5(6 + 4x)

Step 02:

5(6 + 4x)

A.

5 = factor 1

(6 + 4x) = factor 2

B.

5 = factor 1 ( 1 term)

(6 + 4x) = factor 2 (2 terms)

C.

variable term: 4x

coefficient = 4

That is the full solution.

We have the next information

4 cups of water

1 cup lemon concentrate

in total, we have 5 cups of lemonade

5 ----- 100%

1 ------ x

x is the percentage of lemon concentrate

the percentage of lemon concentrate in the lemonade is 20%

B ( 1, 4)

K (4, -3)

We plot the points and after that, calculate their angles, then we measure 270 clockwise to calculate the new points.

The endpoints of the new segment are

B' = (-4.5, 1)

K' = (3, 4)

These are the points of the new segment

The general form of the equation of a line is:

y=mx+b

Where m is the slope of the line and b is the intercept with the y axis.

Since the intercept is the point where the line intersects the y-axis, if a line goes through the origin, then is intercept equals 0, b = 0, which is the case for the first and last line, then, their equation looks like this:

y=mx

When the slope (m) is a positive number, the line goes up as x increases, when the slope (m) is negative, the line goes down as x increases, then the equation of the first line must be: y=x and y= -x for the last line.

For the second line, we can see that it crosses he axis at y= -3, then its intercept equals -3, that's why the equation of this line is y = x - 3

the expression is

We must divide each value by the value of the denominator to obtain the unit ratio

so

the unit ratio is 2 inches per day