seventh, and eighth grade students. The 5 sixth
grade and 9 seventh grade students make up
43.75% of the entire team. How many eighth
grade students are on the team?

Answers

Answer 1

Answer:

18

Step-by-step explanation:

First, we know that the total is equal to 100%. We then know that 14 students make up 43.75%, and eight grade students make up the rest, at 100-43.75=56.25%.

One way we can figure this out to find how many students make up each percent. To find this, we can simply divide the number of students (14) by their percent (43.75) to get 14 students/43.75 percent = 0.32 students per percent. We can then multiply this by 56.25 to get 18 as our answer for the number of eight graders.

Answer 2

Answer: 18

Step-by-step explanation:

14/43.75% = 0.32

56.25 × 0.32 = 18

Therefore, 18 is the answer to this equation.


Related Questions


Find the volume of this sphere.
Use 3 for T.

Answers

You find the radius first which is half of the center so half of 16 is 8 then you just plug it in if using 3 as pi it is 2048 (4/3)(3)8^3

Steffi is painting her house. She has calculated she needs 40 litres of paint in total. She has decided to mix pink paint. She will need 3 litres of white for every litres of red. How many litres of each colour will she need to buy?

Answers

Answer:

Red=10 Pink=30

Step-by-step explanation:

you said for every litres of red; therefore, you need 3 litres of pink paint. So the steps are like this 3+1(P+R) ........... you need 30 litres pink and 10 litres red

\frac{1}{cos^{2} x}-(3+\sqrt{3} )tanx-3+\sqrt{3} =0

Answers

Step-by-step explanation:

pls type the question

properly and I swear I will solve it

Need help with this!!!!

Answers

Answer:

Cuatro es la respuesta también conocida como d

Answer:

Step-by-step explanation:

How do i solve this plss helpp

Answers

Hope this helps!! :)))))))

The answer is -12!
Explanation: (view image)

Using f(x) = 8x + 5 and g(x) = 7x - 2, find:g(f(6))

Answers

Answer:

369

Step-by-step explanation:

g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).

and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).

f(6) = 8×6 + 5 = 48 + 5 = 53

and now

g(53) = 7×53 - 2 = 371 - 2 = 369

to check we do the general functional substitution :

g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33

g(f(6)) = 56×6 + 33 = 336 + 33 = 369

correct

Which statement about the equation 3x ^ 2 + 9x - 12 = 0 is true ? 1 . The product of the roots is -12 . 2 The product of the roots is -4 . 3 The sum of the roots is 3 . The sum of the roots is -9 .

Answers

Answer:

Option : The product of the roots is - 4

Step-by-step explanation:

[tex]3x^2 + 9x - 12 = 0\\\\3x^2 + 12x - 3x - 12 = 0\\\\3x(x+4) -3(x+4) = 0\\\\(3x - 3) (x+ 4) = 0\\\\[/tex]

Therefore the roots are -4 and 1

The product of the roots are -4 x 1 = -4

Last year, 260 students went to the senior prom at M&T Bank Stadium. This year, the number of students who attended senior prom increased by 9%. How many students attend the senior prom at M&T Bank Stadium this year? Round you answer to the nearest whole number. ​

Answers

Answer:

283 people went this year to the stadium.

Step-by-step explanation:

Let's put this data into pieces so it's less overwhelming.

Last year 260 students went to the prom.

Currently the number of students who attended has increased by 9% from last year.

And the question is asking how many students attended this year?

Well, if this is increasing by 9%, wouldn't we just find 9% of 260 then add it to 260?

0.09 * 260 = 23.4

260 + 23.4 = 283.40. Obviously we can't have 40% of a human being, so let's round it to 283.

The triangle below is isosceles. Find the length of side x in simplest radical form with

a rational denominator.




I really need help :(

Answers

Answer:

Value of x = 3√2 unit

Step-by-step explanation:

Given:

Hypotenuse of given triangle = 6 unit

Length of equal side = x units

Find:

Value of x

Computation:

Using pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

Hypotenuse of given triangle² = Perpendicular² + Base²

6² = x² + x²

36 = 2x²

x² = 36/2

x² = 18

x = √18

x = 3√2

Value of x = 3√2 unit

Question 2 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10+
(7.2)

-10
(0,0)
10
- 10+
A. y=-7x
O B. y = 2x

Answers

Answer:

D)

[tex]y = \frac{2}{7} x[/tex]

Step-by-step explanation:

[tex]slope = \frac{rise}{run} = \frac{2}{7} [/tex]

Y-intercept=0

The equation of line is y = ( 2/7 )x where the slope of line is m = 2/7

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 0 )

Let the second point be Q ( 7 , 2 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2 - 0 ) / ( 7 - 0 )

Slope m = 2/7

Now , the equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - 0 = ( 2/7 ) ( x - 0 )

y = ( 2/7 )x

Therefore , the value of A is y = ( 2/7 )x

Hence , the equation of line is y = ( 2/7 )x

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

Please help me. I am confused, and I will give you anything you want. Just help me i swear I do anything. SOS. I just need one question to be answer

Emma and Zeke own an online business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.


please answer the question by reading the text. also what is the relationship between

1) Write an equation describing the relationship between

Answers

Answer:

Step-by-step explanation:

P= plain coasters

L= logo coasters

3(P+L) +25   if they want to buy logo coasters or logo  and plain  coasters

3P  if they want to buy plain coasters

no matter the amount of logo coasters   there is a one time charge  of $25

So we do not need to know how many with logo

The prize of both kind of coaster is $3

1 Select the correct answer. Kalid simplified a polynomial expression as shown. (6x3 + 8x2 − 7x) − (2x2 + 3)(x − 8) step 1 (6x3 + 8x2 − 7x) − (2x3 − 16x2 + 3x − 24) step 2 6x3 + 8x2 − 7x − 2x3 − 16x2 + 3x − 24 step 3

Answers

Answer:

So, the step1 is correct.

Step-by-step explanation:

The expression is

[tex](6 x^3 + 8 x^2 - 7 x)-(2x^2 + 3)(x- 8)\\\\(6 x^3 + 8 x^2 - 7 x) - (2x^3 - 16 x^2 + 3 x - 24)\\\\6 x^3 + 8 x^2 - 7 x - 2 x^3 - 16 x^2 + 3 x - 24\\\\4 x^3 - 8 x^2 - 4 x - 24[/tex]

So, the step 1 is correct.

4. In slope-intercept form, what is the equation of a line perpendicular toy - 2x + 7 that passes
through the point (5,8)?
a y - 4x + 21
b. y - 2x ***
a.y=2x-31

Answers

Answer:

y = (-1/2)x + 21/2

Step-by-step explanation:

Given equation:

y - 2x + 7

Coordinates = (5,8)

Find:

Perpendicular equation

Computation:

y = mx + c

y - 2x + 7

y = 2x - 7

So,

m = 2

The negative reciprocal of 2 is -1/2

So,

For,

Coordinates = (5,8)

y = mx + c

8 = (-1/2)(5) + c

8 = -5/2 + c

c = 8 + 5/2

c = 21 /2

So,

y = mx + c

y = (-1/2)x + 21/2

Evaluate.

3·(7-3)²=?

Answers

48

Explanation:
3•(7-3)^2
=3•4^2
=3•16
=48
Have a nice day!

What is the result if -8ײ +24× divided by -4×

Answers

-4x(2x-6)
-4x+2(x-3)
-4(x+2)(x-3)

Which graph shows the solution to the system of linear inequalities?

y > Two-thirdsx + 3

y ≤ Negative one-thirdx + 2

Answers

Answer:

b

Step-by-step explanation:

We want to get the graph for the given system of linear inequalities. The graph can be seen at the end of the answer.

How to graph a system of inequalities?

First, we have the system:

y > (2/3)*x + 3

y ≤ -(1/3)*x + 2

Let's analyze each one individually.

In the first one, you can see that y is larger than the line, so we need to shade the region above the line, and the line must be a dashed line, meaning that the points on the line are not solutions.

In the second one, y is smaller than or equal to the line, so we need to shade the region below the line, and this time the line must be a solid line because the points on the line are solutions.

The graph of the system of inequalities can be seen below.

If you want to learn more about inequalities, you can read:

https://brainly.com/question/11234618

Sonya wants to sew ribbon along each side of a square pillow if the pillow has an area of 144 square inches, how much ribbon must she buy to have the exact amount that she needs

Answers

Answer:

48 inches

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

144 = s^2

Taking the square root of each side

sqrt(144) = sqrt(s^2)

12 = s

The side length is 12

We want to find the perimeter to determine the amount of ribbon

P =4s

P =4*12

48 inches

What is x equal to????

Answers

Answer:

x = 20

Step-by-step explanation:

The 3 arcs UV, VW, WX form a semicircle, so sum to 180° , that is

4x + 2 + x + 78 = 180

5x + 80 = 180 ( subtract 80 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

The side of a right triangle opposite the right angle.

Answers

Answer:

hypotenuse

Step-by-step explanation:

The side opposite the right angle has a special name - hypotenuse

The other two sides of the right triangle are called legs

A piece of ribbon is x inches long. Find the total length of 7 equal pieces of ribbon. Express the answer in terms of x.

Answers

Answer:

7x

or 7*x

Step-by-step explanation:

Help i will give brainliest to the best answer.

Answers

Answer:

-2

Step-by-step explanation:

1. reduce the numbers by taking out the greatest common factor which is 9.

2. taking out 9 leaves you with [tex]-8[/tex] multipied by 1/4

Answer:

-2

Step-by-step explanation:

[tex](-\frac{8}{9} )[/tex] ÷[tex](\frac{4}{9})[/tex]

changing division sign to multiplication and doing reciprocal

[tex]-\frac{8}{9}*\frac{9}{4}[/tex]

9 and 9 gets cancel so,

[tex]-\frac{8}{4}[/tex]

4 divides 8 exactly by 2 and keep minus sign as it is

-2

An advertising company conducted a survey to determine how often people of different ages shopped online. The table shows the data.

Answers

Answer:

Teens who use online shopping sometimes = 6

total number of people who use online shopping sometimes = 20

total percentage of teens using online shopping sometimes = 6/20*100 => 30%

hope it helps

have a nice day

please help i need to pass math class​

Answers

Answer:

4. (B)

5. (C)

6. (C)

7. (B)

8. (B)

9. (D)

10. (B)

Hope this helps! Have a nice day!

Step-by-step explanation:

Lines RS, TV, and SW are shown.

On a coordinate plane, 3 lines are shown. Line R S goes through (negative 8, 6) and (2, 6). Line T V goes through (negative 6, negative 4) and (8, negative 4). Line S W goes through (2, 6) and (2, negative 8).
Which statements are true about these lines? Select three options.

Line RS has a slope of 6.
Line SW has an undefined slope.
Line TV has a slope of 0.
Lines RS and TV are parallel.
Line SW is perpendicular to line RS, but not to line TV.

Answers

9514 1404 393

Answer:

  (b) Line SW has an undefined slope.

  (c) Line TV has a slope of 0.

  (d) Lines RS and TV are parallel.

Step-by-step explanation:

A horizontal line has 0 slope. Lines RS and TV are horizontal, hence are parallel and have 0 slope.

A vertical line has undefined slope. Line SW is vertical, hence has undefined slope.

Answer:

B,C,D

Step-by-step explanation:

tion 9 of 10
10 Points
Two sides of a triangle have lengths 4 and 8. Which of the Two sides of the triangle have lengths of 4 and 8. Which of the following can NOT be the length of the third side?

A. 7
B. 4
C. 5
D. 6

Answers

Answer:

B. 4

Step-by-step explanation:

the sum of two sides of a triangle should be longer than one other side

Nutz and Boltz, Inc., employs one hundred people; eighty are lawyers and twenty are engineers. Albert, a lawyer at the company, is quiet, likes puzzles, and carries a calculator. Most people, when asked whether Albert is a lawyer or an engineer, will guess that he is an engineer. These people are using __________ to make this faulty guess. A correct guess would have been made if they had used __________.

Answers

Answer:

These people are using the representativeness heuristic to make this faulty guess. A correct guess would have been made if they had used base rate information.

Step-by-step explanation:

Representativeness heuristic occurs when the similarity of items or events causes individuals to be perplexed about the likelihood of a given result. People usually make the error of guessing that two comparable things or occurrences are more closely related than they are. Therefore, the similarity of an engineer and a calculator confuse the people to guess that Albert is an engineer.

Base rate information refers to the information provided by base rates which are a type of statistic that is used to describe the percentage of a population that exhibits a certain feature. Base rates suggest the likelihood of something based on the lack of other facts. Using the information in the question as an example, if 20% of the employees were engineers and 80% were lawyers, the base rate of lawyers is simply 80%. This implies that Albert is a lawyer, but we won't know for sure until we look at the total number of workers that the base rate information reveals that he is a lawyer.

Therefore, these people are using the representativeness heuristic to make this faulty guess. A correct guess would have been made if they had used base rate information.

3. Given that a is 30% of b, find the value of a/4b

Answers

Answer:

a/4b = 0.075

Step-by-step explanation:

a = 30% of b

a = 30/100 × b

a = 0.3b

The value of a/4b is calculated as:

= 0.3b/4b

= 0.075

Help please!! Worth 14 points!

Answers

Answer:

6 days

Step-by-step explanation:

Hi there!

Let d be equal to the number of days that pass.

1) Form expressions

We're told that our sister earns $30 a day, but needs to pay $60 at first:

[tex]30d-60[/tex]

We're also told that we earn $20 a day:

[tex]20d[/tex]

2) Form an equation

We're solving for the number of days that pass (d) in order for both our and our sister's income to equal each other.

For our income and our sister's income to equal each other, the following must be true:

[tex]30d-60=20d[/tex]

Because the only variable here is d, we can simply isolate it to determine the number of days that would pass.

3) Solve for d

[tex]30d-60=20d[/tex]

Subtract 30d from both sides to isolate d on one side

[tex]30d-60-30d=20d-30d\\-60=-10d[/tex]

Divide both sides by -10 to isolate d

[tex]6=d[/tex]

Therefore, for both our income and our sister's income to become equal, 6 days would pass.

I hope this helps!

can somebody help me with this​

Answers

Answer:

If AB and CD are perpendicular, (slope of AB) x (slope of CD) = -1

9/a = -1

a = -9

Answer:

-9

Step-by-step explanation:

flip and change the sign of [tex]\frac{3}{4}[/tex]

[tex]\frac{4}{-3}[/tex]

set equal to each other

[tex]\frac{4}{-3}[/tex] = [tex]\frac{12}{a}[/tex]

cross multiply

4a = -36

divide by 4

a = -9

NUMBER BASES TEST

1. Write the following numbers in expanded form:
(a) 11012
(b) 4315
(c) 21010

2. For the following numbers, state: (i) the place value,
(ii) the value of the digit indicated in brackets.
(a) 41325 (1)
(b) 11012 (0)
(c) 763210 (6)

3. Convert each of the following base 10 numbers to the base indicated in brackets:
(a) Change 8410 to base 5.
(b) Change 6710 to base 5.
(c) Change 2310 to base 2.
(d) Change 4410 to base 2.

Answers

Answer:Number 1

a. eleven thousand and twelve

b. four thousand three hundred and fifteen

c. twenty one thousnad and ten

Answer:Number 2

a.I one thousand

II one tousand

b.I hundreds

II cero

c.I ten thousands

II sixty thousand

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