Last year the 7th grade class had 350 students. This year the number decreased 36%. How many students are in this year's 7th grade class?

Step-by-step explanation:

a-17.9=32.4

a=32.4+16.9

a=50.3

Answer:

y = 15 + 7.50x

Step-by-step explanation:

It is given that, At a park, the cost to rent a bike has an initial fee of $15.00 plus $7.50 per hour.

Let the number of hours is x and the total cost is y.

When the bike is rented for x hours, its cost will be 7.50x.

Total cost (y) in terms of number of hours is given by :

y = 15 + 7.50x

Hence, this is the required equation.

Answer:

-1

Step-by-step explanation:

Answer:

x=22

Step-by-step explanation:

(x-2)^1 =5                  Anything to the 1st power is 1 Multiply both sides by 4                                                            

x-2=20                      Move the constant (20) to the right and change its

x=20+2                      sign

x=22

Answer:

Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs.

Step-by-step explanation:

Answer:

1. b =1/2 (4)(3.5)

v=(14)(8)

2.b= 1/2 (9)(12)

V=(54)(13)

3.b= 1/2(7)(6.1)

v= (21.35)(9)

Answer:

Step-by-step explanation:

-2/6=-1/3

-1/3 is the slope.

formula is rise/run

Step-by-step explanation:

First we find the slope of f(x):

When x increases by 1, f(x) increases by 8. Slope of f(x) = 8/1 = 8.

Slope of g(x) = Coefficient of x = 3.

Therefore the slope of f(x) is greater than the slope of g(x).

When x = 0, f(x) = -1 (given ii the table) Therefore the y-intercept of f(x) is -1.

Y-intercept of g(x) = Constant term = -2.

Since -1 > -2, f(x) have a greater y-intercept.

Answer:

1. 1/3 or 1 red paint : 3 yellow paint

2. 3/1 or 3 or 3 yellow paint : 1 red paint

Step-by-step explanation:

First figure out red to yellow

2 parts red : 6 parts yellow

simplified it is 1 part red : 3 parts yellow or 1/3

Repeat for ratio of yellow to red

6 parts yellow : 2 parts red

simplified is 3 yellow : 1 red or 3/1 or 3

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Answer:

Area of the shaded part is 3.14 square unit.

Step-by-step explanation:

Area of the shaded part = Area of large semicircle - (Area of two small semi circles)

Area of large semicircle with center O = [tex]\frac{1}{2}(\pi r^2)[/tex]

                                                                = [tex]\frac{1}{2}\pi (2)^{2}[/tex]

                                                                = 2π

Area of semicircle with center O' = [tex]\frac{1}{2}\pi (1)^2[/tex]

                                                      = [tex]\frac{\pi }{2}[/tex]

Area of semicircle with center O" = [tex]\frac{\pi }{2}[/tex]

Now substitute these values in the formula,

Area of shaded part = [tex]2\pi - (\frac{\pi }{2}+\frac{\pi }{2})[/tex]

                                  = [tex]\pi[/tex]

                                  = 3.14 square unit

Area of the shaded part is 3.14 square unit.

Answer: (0,3) (1.5,0)

Step-by-step explanation:

The coordinates of the equation 16x + 8y = 24 are (0,3) and (1.5,0).

Answer:

x + 1

y = 9

Step-by-step explanation:

In order to solve this question we need to represent "y "in terms of "x" in the first equation, and the plug in the "y" value in the first equation into the second one. Luckily for us in the first equation it already shows what "y" is equal to in terms of "x" (based on the first equation y = -x + 10). Now we just need to plug in the value that we got instead of "y" in the second equation, and so we get....

y = 7x + 2

(plug in the y value and get the following ….)

-x + 10 = 7x + 2

(now just solve the following equation)

-x + 10 + x = 7x + 2 + x

10 = 8x + 2

10 - 2 = 8x + 2 - 2

8 = 8x

8/8 = 8x/8

1 = x

Now that we know the value of "x", all we need to do now is substitute the value of "x" into any of the equations and we will get the value of "y". So we do the following.....

y =  7x + 2

y = 7(1) + 2

y = 7 + 2

y = 9

Answer:

She earned $360 on that paycheck.

Step-by-step explanation:

From the information given, you know that Angela transfers 15% of each paycheck and that she transferred $54 last week. With this, you can say that the amount she earned multiply for 15% is equal to 54, which you can express with the following equation:

0.15x=54, where x is the amount she earned on that paycheck.

Now, you can solve for x:

x=54/0.15

x=360

According to this, the answer is that she earned $360 on that paycheck.

Answer:

The measure of one of the acute angles is 22 degrees, and the measure of the other acute angle is 68 degrees.

Step-by-step explanation:

The angles of a triangle add up to 180 degrees; we know this by the Sum of Angles of a Triangle Theorem.

Then one angle is marked as a right angle meaning it has a measure of 90 degrees.

Using this information and the labels on the diagram we can set up an equation:

x+3x+2+90=180

Now we can solve for x.

4x+92=180

4x=88

x=22 degrees

The measure of one of the acute angles is 22 degrees.

Now to solve for the measure of the other acute angle.

Subsitute the value of x first.

x=22

(3x+2)=?

3*22+2=68 degrees

The measure of the other acute angle is 68 degrees.

In the right-angled triangle given, the measure of each of the acute angles in the given diagram are:

[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]

The triangle given is a right triangle having an angle tat is 90 degrees and two other acute angles given as: x and (3x + 2)

Thus:

[tex]x + (3x + 2) + 90 = 180^{\circ}[/tex] (sum of triangle)

[tex]x + 3x + 2 + 90 = 180[/tex]

[tex]4x + 92 = 180\\\\[/tex]

[tex]4x = 180 - 92\\\\4x =88[/tex]

x = 22

Measure of one of the acute angles is 22 degrees.

To find the second acute angle measure, substitute the value of x

3x + 2 = 3(22) + 2 = 68 degrees

Therefore, in the right-angled triangle given, the measure of each of the acute angles in the given diagram are:

[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]

Learn more here:

https://brainly.com/question/347922

Answer:

tony paid most (im pretty sure tony but if not tony its mike who paid most)

Step-by-step explanation:

Answer: B. Mike paid the most.

Hope this helps!

Answer:

The relationship between the graphs of the two functions is "They are reflections of each other across the y-axis" ⇒ B

Step-by-step explanation:

∵ The points on f(x) are (-2, -31), (-1, 0), (1, 2), (2, 33)

∵ The points on g(x) are (2, 3), (1, 0), (-1, 2), (-2, 33)

∵ All x-coordinates on f(x) multiplied by -1 to get the x-coordinates of g(x)

→ By using the 2nd rule above

∴ g(x) is the image of f(x) after reflection across the y-axis

∴ The relationship between the graphs of the two functions is

    "They are reflections of each other across the y-axis"

Answer: yes

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

300-150

Answer:

sas

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

SAS

Answer:

Rest of the team= 20 goals

Step-by-step explanation:

Giving the following information:

Joshua= (2/7)

His team scored 28 goals this past season.

First, we determine hoy many goals Joshua score:

Joshua= (2/7)*28

Joshua= 8 goals

Now, the rest of the team:

Rest of the team= 28 - 8

Rest of the team= 20 goals

Answer:

In the top green thing goes X in the bottom one it goes Y

X: 1,2,3,4,5

Y: 20, 28, 36, 46, 52

Step-by-step explanation:

Step-by-step explanation:

4x - 5 > 4

4x > 9

x > 2.25

Hence the integer values of x that satisfy are 3, 4, 5, 6, 7 and 8.

Answer:

The asnwer is 83.6 :)

Step-by-step explanation:

7.6x11=83.6

Answer:

i think its B .-.

Step-by-step explanation:

the other numbers are less than the ones up above

Answer:

0.84134

Step-by-step explanation:

Given that:

Mean = 3.4 hours

Standard deviation (s) = 2.6 hours

Percentage of students that spend less than 6 hours doing homework

P(x < 6)

Using the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (6 - 3.4) / 2.6

Z = 2.6 / 2.6

Z = 1

p(Z < 1) = 0.84134 ( Z probability calculator)

The percentage of the students at Happy High spends an average of less than 6 hours per week doing homework is 0.84134

Answer:

.17 per once for the smaller box and .15 for the bigger box

Step-by-step explanation:

Answer:

13*8=104

104*2=

208

Step-by-step explanation:

Answer:

Both are correct

Step-by-step explanation:

All the angles are equal, therefore causing the triangles to be similar.