Last year at a certain high school, there were 96 boys on the honor roll and 60 girls on the honor roll. This year, the number of boys on the honor roll increased by 25% and the number of girls on the honor roll increased by 10%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

Answers

Answer 1

Answer:

19%

Step-by-step explanation:

Last year:

Number of boys on honor roll = 96

Number of girls on honor roll = 60

Total students on honor roll = Number of boys on honor roll + Number of girls on honor roll

= 96 + 60

= 156

This year:

The number of boys on the honor roll increased by 25%

Number of boys on honor roll = 25% of 96 + 96

= 0.25×96 + 96

= 24 + 96

= 120

The number of girls on the honor roll increased by 10%.

Number of girls on honor roll = 10% of 60 + 60

= 0.10 × 60 + 60

= 6 + 60

= 66

Total students on honor roll = Number of boys on honor roll + Number of girls on honor roll

= 120 + 66

= 186

Percentage the total number of students on the honor roll increase = (186 - 156) / 156 × 100

= 30 / 156 × 100

= 0.19 × 100

= 19% to the nearest tenth

Answer 2

Answer: 19.2%

Step-by-step explanation:


Related Questions

Write an inequality for the graph below

Answers

Answer:

y > -1/4x + 4

Step-by-step explanation:

First find the equation of the line itself, which is y = -1/4x + 4, then determine if graph shades above the line or below the line. If it shades above which is true in this case, it will be greater than. If it shades below which does not occur in this case, it will be less than. Because the line is dashed and not solid, it will just be greater than or less than.

Therefore y = -1/4x + 4 → y > -1/4x + 4 [Shades above the line, line is dashed].

What is the slope of AB?

Answers

-2/3 from A you go to the right 3 times which is 3 x and you go down 2 which is -2y

Answer: -2/3

Step-by-step explanation:

If you want to find the slope of something, the quick way is to use [tex]\frac{rise}{run}[/tex].

In this situation, the “rise” (change in y axis) is -2 because it’s going down and the “run” (change in x axis) is 3. Therefore, it’s -2/3.

The formula to find slope is:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

(I think, if I memorized it correctly)

2. A pizza restaurant charges y amount for a pizza based on the x number of toppings you select. What
does the slope and the y-intercept tell you about the price of the pizzas using this equation: y = 1.50x +
7.50
Write answer here
3. A linear model is given by y = 1.3x + 15, where x is the number of seconds that a person is riding a

Answers

Answer:

slope should be 1.50x and your y-intercept should be 7.50

Step-by-step explanation:

Write a rational equation that relates the desired percentage to the amount of % acid solution that needs to be added to liter of % acid solution to make a blend that is % acid, where < < . What is a reasonable restriction on the set of possible values of ? Explain your answer.

Answers

This question is incomplete

Complete Question

Write a rational equation that relates the desired percentage p, to the amount A of a 30% solution that needs to be added to 1 liter of 10% acid solution to make a blend that is p% acid, where 0<p<100 . What is a reasonable restriction on the set of possible values of ? Explain your answer.

Answer:

100(0.1 + 0.3A)= (1 + A) P

Step-by-step explanation:

A of a 30% solution that needs to be added to 1 liter of 10% acid solution to make a blend that is p% acid,

Hence,

10% of 1 + 30% of A = p%(1 + A)

0.10 + 0.3A = (p/100)(1 + A)

Divide both sides by 1 + A

0.1 + 0.3A/ 1 + A = p/100

Cross Multiply

100(0.1 + 0.3A) = 1 + A(p)

From the above calculation, we can see that, the blend that would be formed is not lower than 10% or greater than 30%

10% < p< 30%

whoever answers the question first and right will get brainly

Answers

Answer:

b

Step-by-step explanation:

In ΔIJK, ∠K ≅∠J, IJ = 9 and JK = 10. Find the length of KI.

Answers

Answer:

KI = 9

Step-by-step explanation:

In ΔIJK,

∠K ≅∠J (given)

Therefore,

IJ ≅ KI (sides opposite to equal angles are equal)

Since,

IJ = 9

So,

KI = 9

Which of the following represents a function

Answers

Answer:

D represents a function pretty sure I had a problem like this as well

Step-by-step explanation:

C is the answer because the same input (x) number can not be matched twice with and output (y). The numbers in the input(x), or domain, constantly goes up by one, and the output(y), or range, constantly goes down by one.

I hope this helped!! Please correct me if I was wrong :)

how many times does 70 go into 2,800

Answers

Answer:

40

Step-by-step explanation:

Answer:

40

here is the awnser buddy I hope it's right

what is the sum of ​

Answers

Answer:

C

Step-by-step explanation:

The circumference of the base of a right circular cylinder is 252 cm. Find the lateral surface area if the height is 3 m.​

Answers

Answer:

The lateral surface area is  [tex]80,638.4 \ cm^2[/tex]

Step-by-step explanation:

Lateral Surface Area of a Cylinder

It can be computed with the formula:

[tex]\displaystyle A=\pi r^2+2\pi rh[/tex]

Where:

r = radius of the circular base

h = height

The circumference of the base can be calculated as:

[tex]C = 2\pi r[/tex]

We are given the circumference C=252 cm, let's find the radius solving for r:

[tex]\displaystyle r=\frac{C}{2\pi}[/tex]

[tex]\displaystyle r=\frac{252\ cm}{2\pi}[/tex]

r = 40.1 cm

Now we calculate the lateral surface area knowing h=3 m=300 cm:

[tex]\displaystyle A=\pi 40.1^2+2\pi 40.1*300[/tex]

[tex]\boxed{A = 80,638.4 \ cm^2}[/tex]

The lateral surface area is [tex]80,638.4 \ cm^2[/tex]

determine weather the line is parallel perpendicular or neither

x = 6 and 6 — x = 8

Answers

Answer:

neither

Step-by-step explanation:

got it right 2020

6 x - 2 (x - 5) = 22

Answers

Answer:

x = 2.75

Step-by-step explanation:

6x - 2 (x - 5) = 22

6x -2x + 10 = 22

4x + 10 = 22

     - 10    - 10

4x = 11

11/4 = 2.75

x = 2.75

Let me know if you need any more help!

what is 5x - 8= x
[tex]5x - 8 = x[/tex]

Answers

Answer:

..........................2

Reduce to simplest form.
-5/8+(-8/5)=?

Answers

Answer:

[tex]-2\frac{9}{40}[/tex]

Step-by-step explanation:

[tex]-\frac{5}{8}+(-\frac{8}{5}) = -\frac{25}{40}-\frac{64}{40}[/tex] (find common denominator)

[tex]=-\frac{89}{40}[/tex]

[tex]=-2\frac{9}{40}[/tex] (reduce to simplest form)

Hope this helps :)


Write in y=mx+b form

Answers

Answer:

y = -2/3x

Step-by-step explanation:

To write in y=mx+b form, you need the y-intercept (b) and the slope (m).

The y-intercept is the point the line crosses the y-axis.  This line crosses the y-axis of (0, 0).  This makes the y-intercept equal to 0.

The slope is the rise of the line over the run of the line.  Pick two points from the line.  It doesn't matter which ones, you will get the right answer regardless.  

I picked (0, 0) and (-3, 2).  Subtract the x-values from each other, and subtract the y-values from each other.

-3 - 0 = -3  (x)

2 - 0 = 2  (y)

Divide the y by the x to find the slope.

2/-3 = -2/3

Plug in the slope and y-intercept into the equation.

y = mx + b

y = -2/3x + 0

y = -2/3x

Fine the UNIT RATE: 8 apples for $3
You can't do that, it doesn't divide out evenly
A..38
B..375
C.2.6666.......
D.2.67

Answers

Answer:

d

Step-by-step explanation:

8/3

The answer is d because 2.67

The graph below shows a system of equations:
5
y = -x + 5
.
4
3
2
K
+
+0
-1
2
6
y = x - 1
-2
-3
+
-57
The x-coordinate of the solution to the system of equations is
(5 points)

Answers

Answer:

x=2

Step-by-step explanation:

  y=-x+5

-1(y)=(x+1)-1   = -y=-x-1

   y=-x+5

+ -y=-x-1

  0=-2x-4

0=-2x-4

+4     +4

4=2x

1/2(4)=(2x)1/2

2=x

The x-coordinate of the solution to the system of equations is 3.

What is a system of equations?

A system of equations is a set or collection of two or more equations with the same variables. The common solutions are the intersecting points of the equations. The number of equations and unknowns affects the existence and uniqueness of the solution. A system of equations can be classified similarly to single equations.

Given that, the graph given shows a system of equations,

We know that, the solution of the system of equations, is given by the point where the lines intersect,

So, here the lines intersect, at (3, 2)

Therefore, the x-coordinate is 3

Hence, the x-coordinate of the solution to the system of equations is 3.

Learn more about system of equations click;

https://brainly.com/question/12895249

#SPJ7

Original price: $10 New price: $7
Is it a discount,
Or a mark up.

Answers

Answer:

discount

Step-by-step explanation:

goes under og price

Answer: 17

Step-by-step explanation:

write in standard form (×+4)(×-5)=4 find the value of a,b,c​

Answers

Answer:

[tex]x^{2}[/tex] - x - 24 = 0

a = 1

b = 1

c = -24

Step-by-step explanation:

(x + 4)(x - 5) = 4

x(x - 5) = [tex]x^{2}[/tex] - 5x

4(x - 5) = 4x - 20

[tex]x^{2}[/tex] - 5x + 4x - 20 = 4

[tex]x^{2}[/tex] - x - 20 = 4

[tex]x^{2}[/tex] - x - 20 - 4 = 0

[tex]x^{2}[/tex] - x - 24 = 0

a = 1

b = 1

c = -24

Use the figure to the right. Find x

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]\textsf{Mean basis Theorem;}[/tex]

        [tex]\overline{JK}=2.\overline{NO}[/tex]

  [tex]3x+26=2\times19[/tex]

          [tex]3x=38-26[/tex]

           [tex]3x=12[/tex]

             [tex]x=12/3[/tex]

            [tex]\boxed{x=4}[/tex]

Ms. Sanchez bought 3 pounds of turkey to make sandwiches for her family. She uses 1/3 of a pound for each sandwich. How many sandwiches can she make?

Answers

Answer:

the  total number of sandwich required is 9

Step-by-step explanation:

The computation of the number of sandwiches made is as follows:

She bought 3 pounds

And one third of pound she required for each sandwhich

So, the total number of sandwich required is

= 3 ÷ 1 ÷ 3

= 3 × 3

= 9

Hence, the  total number of sandwich required is 9

The same is to be considered

9 3/5 as a improper fraction

Answers

Answer:

48/5

Step-by-step explanation:

hope it helps!

......

Which shows the correct expanded form and product of 35 x 3?
O (30 x 3) = (5 x 3) = 6
(30 x 3) - (5 x 3) = 75
(30 x 3) + (5 x 3) = 105
(30 x 3) x (5 x 3) = 1,350

Answers

Yt. W at we see f. Mmm

Answer:

(30 x 3) + (5 x 3) = 105

Step-by-step explanation:

6th grade math i mark as brainliest​

Answers

Answer:

the answer is 8 bro

Step-by-step explanation:

4 to the power of 2 = 4 x 2 = 8

Answer

that is a  hard one

Step-by-step explanation:

[205.8-[4^(2)]+5]*4= 779.2

for the first one

Shayla has 6— pounds of potato salad into containers each of which holds 1— pounds. How many containers does she need?

Answers

Answer:

she needs 6 containers.

Step-by-step explanation:

1 pound goes into each container. 6/1=6 so she needs 6 containers.

Gabriel lives in a state where the sales tax rate is 6.25%. If Gabriel purchase an item for $60.00, how much sales tax does he need to pay for his purchase?

Answers

Answer:

Gabriel needs to have $3.75 for sales tax.

Step-by-step explanation:

A sales tax rate of 6.25% means that 6.25 cents is going to be charged for tax for each dollar you spend. (Because 6.25% of $1.00 is 6.25 cents.)

If he was spending $10, the sales tax would be 62.5 cents (6.25 cents per dollar x 10 dollars). Since he is spending $60 on this item, the equation would be (6.25 cents per dollar x 60 dollars) (6.25 cents x 60 = 375 cents).

And 375 cents equals $3.75.

Factor with the distributive property (no variables)
90+27=

Answers

Your answer is 9(10 + 3)

Tell me if you need an explanation

What is the correct answer?

Answers

Answer:46

Step-by-step explanation:

The correct answer is 46

it said in the question how do we solve of the side b​

Answers

Is this your final are you taking a test

You are making a salad. The ratio of olives to croutons is 5 : 3. You put 12 croutons in your salad. How many olives do you put in your salad?

Answers

Answer:

20

Step-by-step explanation:

12/3 (the number of croutons) = 4

Since 4 is your base number, you would multiply 4 x 5.

20 olives

Answer:

20

Step-by-step explanation:

Ratio of olives : croutons is 5 : 3.

If you put 12 croutons, you put 4 times the amount of croutons in the ratio since 12/3 = 4.

That means you must also put 4 times the number of olives.

4 * 5 = 20

Answer: 20

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