At Lake View Middle School, there are 900 boys. The ratio of boys to girls is 5 to 4. How many girls are there in the school?

Answers

Answer 1

Answer:

320 girls

Step-by-step explanation:

We can make an algebric equation for this:

5x=900

x=180

We are asked to find the girls so we have to multiply the girls ratio by our x value we just found.

4x=4x180=320 girls


Related Questions

What is 4 1/8 in decimal form

Answers

4 1/8 is equal to 4.125 in decimal form.

Is 7.12467 rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0. Since 7.12467 is an integer or decimal it's rational

A rectangular pool measures 5 yd by 6 yd. A concrete deck of uniform width is constructed around the pool. The deck and pool together cover an area of 72. How wide is the deck?

Answers

Answer:

42 yard

Step-by-step explanation:

Area of deck = total area - area of pool

area of a rectangle = length x width

5 x 6 = 30

72 - 30 = 42

A school is planning to construct two rectangular play areas in the playground. The length of play area A must be 1 foot longer than four times its width. The width of play area B must be 2 feet longer than the width of play area A, and the length must be 2 feet longer than three times its own width. In addition, the areas of the two play areas must be equal. Write a system of equations to represent this situation, where y is the area of the play areas and x is the width of play area A. Which statement describes the number and viability of the system's solutions?

Answers

Answer:

А.The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

Given

Let:

[tex]L_A \to[/tex] length of play area A

[tex]W_A \to[/tex] width of play area A

[tex]L_B \to[/tex] length of play area B

[tex]W_B \to[/tex] width of play area B

[tex]x \to[/tex] Area of A

[tex]y \to[/tex] Area of B

From the question, we have the following:

[tex]L_A = 1 + 4W_A[/tex]

[tex]W_B = 2 + W_A[/tex]

[tex]L_B = 2 + 3W_B[/tex]

[tex]x = y[/tex]

The area of A is:

[tex]x = L_A * W_A[/tex]

This gives:

[tex]x = (1 + 4W_A) * W_A[/tex]

Open bracket

[tex]x = W_A + 4W_A^2[/tex]

The area of B is:

[tex]y = L_B * W_B[/tex]

[tex]y = (2 + 3W_B) * ( 2 + W_A)[/tex]

Substitute: [tex]W_B = 2 + W_A[/tex]

[tex]y = (2 + 3(2 + W_A)) * ( 2 + W_A)[/tex]

Open brackets

[tex]y = (2 + 6 + 3W_A) * ( 2 + W_A)[/tex]

[tex]y = (8 + 3W_A) * ( 2 + W_A)[/tex]

Expand

[tex]y = 16 + 8W_A + 6W_A + 3W_A^2[/tex]

[tex]y = 16 + 14W_A + 3W_A^2[/tex]

We have that:

[tex]x = y[/tex]

This gives:

[tex]W_A + 4W_A^2 = 16 + 14W_A + 3W_A^2[/tex]

Collect like terms

[tex]4W_A^2 - 3W_A^2 + W_A -14W_A - 16 =0[/tex]

[tex]W_A^2 -13W_A - 16 =0[/tex]

Using quadratic calculator, we have:

[tex]W_A = -14.1[/tex] or [tex]W = 1.13[/tex] --- approximated

But the width can not be negative; So:

[tex]W = 1.19[/tex]

Hey can someone help me ? I’ll give brainliest !!

Answers

7 bc I’m so smart thank you ciaoooooo

Answer:

132 kilometers

Step-by-step explanation:

In how many ways can 12 math students be seated at a round table?

A. 479,001,600
B. 39,916,800
C. 144

Answers

Answer:

479,001,600

Step-by-step explanation:

The first seat could be any of the 12

the second seat could be any of the remaining 11

and so on

12!

12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

479,001,600

the answer would be 479,001,600

ace please help plsss​

Answers

Answer:

B

Step-by-step explanation:

I Think I Got It Right But This Is From A LONG time ago

Answer:

B. 60

Step-by-step explanation:

I am pretty sure this is a 30-60-90 similarity right triangle. If that's the case, then the answer is 60 degrees. Have a good day! :DDD

You just brought a tank for your fishes. You have a height of 6ft. The length is 5times the width w. The volume of the tank is 600 ft^3. What is the width of the tank to the nearest tenth of a foot? The formula is V = (l)(w)(h)

Answers

Answer:

w = 20 feet

Step-by-step explanation:

V = lwh

600 = 5(6)w

600 = 30w

w = 20

12. The circumference of circle T is 180x units.

What is the area of the shaded sector?

Answers

Answer:900 square units

Step-by-step explanation:

The radius is 90 units. Then the area of the shaded sector will be 900π square units.

What is the area of the sector?

Let r be the radius of the sector and θ be the angle subtended by the sector at the center. Then the area of the sector of the circle will be

A = (θ/360°) πr²

The circumference of circle T is 180π units. Then the radius of the circle is given as,

C = 180π

2πr = 180π

r = 90 units

Then the area of the sector is given as,

A = (40°/360°) π x 90²

A = 900π square units

The area of the shaded sector will be 900π square units.

More about the area of the sector link is given below.

https://brainly.com/question/7512468

#SPJ6

Marco wants to buy a new smartphone that costs $495. He has already saved $75. Write and solve an inequality to find the least amount of money, m, that Marco still needs to save before he can buy the smartphone.

Answers

he needs 420 to buy a new smartphone

Below. What is m∠1?

m∠1 =

Answers

Answer:

m∠1 = 70

Step-by-step explanation:

A line is 180 degrees

The angles of a triangle total to 180 degrees

180 - 101 = 79

79 + 31 = 110

180 - 110 = 70

what are the inequalities​

Answers

15 - 5
14 - 5
13 - 5
12 - 5
11 - 5
10 - 5
9 - 5
8 - 5
7 - 5
6 - 5
5 - 5

I’m not sure if this was the answer you were looking for but I hoped it helped

Answer:

an inequality is a mathematical statement that shows that an expression is lesser than or more than the other.

Find the value of x in the triangle shown below

Answers

Where is the triangle? Pls help

-0.09 x __=9? Can any one help?

Answers

Answer:

-0.09 x −100 =9

Step-by-step explanation:

brainliest pls

PLEASE HELP !! I NEED HELP ASAP?

Answers

Answer:

The answer would be D or 4 or whatever you would like to call it (the bottom one)

can we eliminate all fat people from the earth? they're useless individuals. ​

Answers

Answer:

No

Step-by-step explanation:

Dude, I'm not joking.

I started writing stuff as a joke, than developed it, and I think I'll write a book. You just gave me an incredible idea (not about fat people, about society itself and our future).

Thank you very much.

If you see any book written by a Racciatti in 10 years, contact me.

Hope this works, holy man so much ideas in my head. Thank you again.

Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.

f(x) = 6x2 + x − 12

A. quadratic function; quadratic term: −12x2; linear term: −6x; constant term: −12

B. linear function; linear term: x; constant term: −12

C. linear function; linear term: 6x2; constant term: −12

D. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12

Answers

Answer:

D

Step-by-step explanation:

The function f(x) = 6x2 +x -12 is a quadratic since the highest degree polynomial term is 2. So that eliminates B and C. Option A is incorrect because the quadratic term is 6 not double the constant. There for the correct choice is D because the function is a quadratic and the quadratic term is 6x2, the linear term is x and the constant term is -12.

I'll give brainliest​

Answers

Answer:

7 oof

Step-by-step explanation:

Which statement about the 2 functions is true!
The slope of the graph of A is greater than the slope of the graph of B
The slope of the graph of B is greater than the slope of the graph of A
They intercept of the graph of A is greater than the y-intercept of B.
They intercept of the graph of B is greater than they intercept of A

Answers

A: The slope of the graph of A is greater than the slope of the graph of B.

Answer:

1st option: The slope of graph A is greater than B

Step-by-step explanation:

slope of A = 3/1

slope of B = 2/1

both graphs have the same y-intercept of zero

find the quotient:

1 divided by 13/7

Answers

Answer:

7/13

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

we have to multiply 1 by the reciprocal of 13/7

1 x 7/13 = 7/13

becuase a number multiply by 1 gives as result the number itself

Gabrielle cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 33 inches. How long is each side of the original square cake?

Answers

Answer:

11 inches

Step-by-step explanation:

Perimeter of each rectangle = 33 inches

The square cake is cut in half

which means two half sides would equal one whole side.

2 × 1/2 = 1

The two "halves" in the smaller rectangle would equal one whole side + the two whole sides in the smaller rectangle

1 + 2 = 3

Each side of the original square cake = 33 inches / 3

= 11 inches

Each side of the original square cake = 11 inches

Use the rectangle to answer the question.
12 millimeters
9 millimeters
What is the area of the rectangle?
O A 21 square millimeters
OB. 42 square millimeters
O c. 81 square millimeters
OD. 108 square millimeters
ОЕ.
144 square millimeters

Answers

Answer:

12 x 9 = 108

Step-by-step explanation:

Just multiply the 2 given lengths when finding AREA of a rectangle.

Answer:

D.108

Step-by-step explanation:

use the figure below to answer the question

Answers

Answer:

Sin(Ф) = Opposite / Hypotenuse

We know that Opposite = 6, and

Hypotenuse = 3/4 or 0.75

So,

Sin(Ф) = 6 / 0.75

Sin(Ф) = 8

So the value of sin of Ф would be 8

Hope this helps!

Which angles are supplementary angles?

Answers

Answer:

∠RSQ and ∠RSV are supplementary because they form a straight line

Step-by-step explanation:

∠RSQ and ∠WXV are congruent because they are alternate-exterior ∠'s

∠RSQ and ∠UVS are congruent because they are corresponding angles

∠RSQ and ∠TSV are congruent because they are vertical angles


Choose the letter that you think best answers the question.

__1.) differentiating permutation from combination in a given situation, which of the following situations can be solve by permutation an combination?

A.) How many combinations of 4 objects are there taken 2 at a time?

B.) find the number of permutation of the letters of the word MATHEMATICS?

C.) In the game of poker, five cards are drawn from a standard 52-card deck. How many different poker hands are possible?

D.) In the set (m, a, t, h, r, o, c, k, s). Find the number of different subsets of sice 3 in the set of the number arrangement of the size 3 in the set ?

2.) There are 11 different food items in a buffet. A customeris asked to get a certain number of items. If the customer has 462 possible ways as a result, which of the following did he possibly do?

A. Choose out 4 of the 11 items
B. Choose out 6 of the 11 items
C. Choose out 8 of the 11 items
D. Choose out 10 of the 11 items

NONSENSE➪ REPORT
CHOOSE LETTER ONLY​

Answers

Answer: 1)

a combination

b permutation

c  permutation

d permutation

2)

B coz 6 and 11 is the only combination which can have 462 possibilities as they r both factors of 462

A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200. If the teacher had used a 90% confidence interval rather than a 98% confidence interval, what would happen to the width of the interval

Answers

Answer:

The answer is "It would decrease, but not necessarily by 8%".

Step-by-step explanation:

They know that width of the confidence level is proportional to a confidence level. As just a result, reducing the confidence level decreases the width of a normal distribution, but not with the amount of variance in the confidence level. As just a result, when a person teaches a 90% standard deviation rather than a 98 percent normal distribution, the width of the duration narrows.

please help me ill give you the crown thing if its right no joke

Answers

Answer: Third option

Step-by-step explanation:

The amount in each of the 3 busses (g) is fixed and equal, so 200+3g represents that

Ari writes down two numbers. The total is 37. The difference between them is 14.
What are the numbers?

Answers

Answer:

11.5 & 25.5

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

What is the sum of 15 and it's addictive inverse

Answers

Answer:

zero

Step-by-step explanation:

the additive inverse of 15 is -15 so the sum is zero

Answer: The sum Is zero, explanation below

Step-by-step explanation:

The Addictive inverse of a number is its opposite so for example the addictive inverse of   12 is -12   or   x is -x so the equation would be

15 + -15

making your answer zero :D

SHEEEESSSHHHH

Find the value of x in the following diagram.

Answers

Answer:

x = 3.5

Step-by-step explanation:

By definition, congruent chords are equidistant from the center of a circle. We are given two congruent chords and their distances(the lines perpendicular), meaning those distances must be equal. We set set up an equation to model the situation:

x + 8 = 3x + 1

8 = 2x + 1

2x = 7

x = 3.5

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