The ratio of boys to girls in the class is 4 to 5. If there are 18 boys and girls in the
class, how many of each are there?

Answers

Answer 1

Answer:

8 boys and 10 girls

Step-by-step explanation:

If the ratio is 4:5,

4x2 + 5x2 equal 8+10 =

18.

4:5=8:10

Answer 2

Answer:

8 boys

10 girls

Step-by-step explanation:

4:5

8:10

8+10=18


Related Questions

Translate triangle ABC using the vector ( 6, - 2).

Answers

Answer:

Move each vertex 6 to the right, and 2 to the bottom, rest of the triangle will come automatically. It should look similar to the one I drew.

After translation vertices of triangle ABC are (0, 3), (7, 3) and (6, -2).

What is the translation?

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

The given vector is (6, -2).

From the given triangle vertices are (-6, 1), (1, 1) and (0, -4)

From the given vector, it shows 6 units right shift and 2 unit down shift.

Here, vertices of image are

(-6, 1)→(-6+6, 1-(-2))→(0, 3)

(1, 1)→(1+6, 1-(-2))→(7, 3)

(0, -4)→(0+6, -4-(-2))→(6, -2)

Hence, after translation vertices of triangle ABC are (0, 3), (7, 3) and (6, -2).

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Evaluate the expression for the given variable values.


3∣m+2n∣2−(mn)2 if m=3 and n=−5

Answers

From my thinking don’t use this one because I’m not really answering 5-2=3=3

can someone pls help me … I really need help

Answers

Answer:

It's the last one!

Step-by-step explanation:

how do you find a missing fraction of a pie chart? (:​

Answers

Answer:

Pasend pic

Step-by-step explanation:

Para I answer ko

What is the value of -2(x+5)​

Answers

Answer:

-2x-10

Step-by-step explanation:

You have to use the distributive property to solve this problem. You multiply the things inside the parenthesis by -2. -2x+-2x5 = -2x+(-10) = -2x-10

33% of what number is 1.45? Round to the nearest tenth.

Answers

Take the unknown number as 'y'.

=》33% = 33/100

=》1.45 = 145/100

33/100 × y = 1.45

33/100 × y = 145/100

33y = 145/100 × 100/1

33y = 145

y = 145/33

y = 4.39

______

RainbowSalt2222 ☔

4,39

I'm sorry if I'm wrong

i need help with this question.

Answers

Answer:

See below for answer.

Step-by-step explanation:

∠1 and ∠2 are supplementary               Given

∠1 + ∠2 = 180°                                         Definition of supplementary angles  

∠3 and ∠2 are supplementary               Given

∠3 + ∠2 = 180                                         Definition of supplementary angles  

∠1 + ∠2 = ∠3 + ∠2                                  Substitution

∠1 = ∠3                                                    Substracting ∠2 from both sides    

increase 400 in the ratio 3:5
decrease 400 in the ratio 3:5

Answers

Answer:

Given 3:5 = 3+5=10,

400*3/8=150,

400*5/8=250.

Please Help! I will give you a lot of points! (It's really the guess & check I'm having trouble with. Is there an easier way to find the standard divisor (d)?)

Four people pool their money to buy 60 shares of stock. The amount that each person contributes is shown in the following table. Use Adam's method with d=108 to apportion the shares of stock.

----Only pay attention to number 12 in the picture

Answers

Answer:

See below

Step-by-step explanation:

The given modifier solves this without further update.

See attached table

How much money must be deposited at the end of each year if the objective is to accumulate $250,000 after 10 years? Assume interestis eamed at the rate of 10 percent compounded annually. How much interest will be eamed?​

Answers

Answer:

Step-by-step explanation:

sasđdádd

Brainliest if correct

Answers

Answer:

Just pick 2 coins to compare (I mean the directions say compare 2).

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

are the most standardized coins and rougly inreplicable so deemed old in value , assertion would be the best way to value these coins.

-5(X+2)=35 APPLY THE DISTRIBUTIVE PROPERTY

Answers

Hello!

-5(x+2)=35

-5x-10=35

-5x=35+10

-5x=45

x=-9

Hope it helps!

~Just a determined gal

#CarryOnGainingKnowledge

[tex]MysteriousNature[/tex]

Answer:

x = -9

Step-by-step explanation:

-5(x + 2) = 35

~Distribute

(-5 * x) + (-5 * 2) = 35

~Simplify

-5x - 10 = 35

~Add 10 to both sides

-5x = 45

~Divide -5 to both sides

x = -9

Best of Luck!

Sandy threw a ball 86 inches. She
picked it up and threw it another 12
inches. Then she threw it another 10
inches. How many feet in total, did
Sandy throw the ball?


Due tomorrow

Answers

She threw the ball 84 inches

Three times the difference “2x minus 1” is the opposite of 9 times x. Solve for x.

Answers

Answer:

x = 1/5 - first box

Step-by-step explanation:

Let's interpret this by using what I call the "isolated-x method."

First, we can simplify whatever's being affected in the parentheses.

#1: 3 times (2x) is equal to 6x

#2: 3 times (- 1 | equal to -1) results in -3, or + -3

So now we're working with 6x - 3 = -9x.

Now, we'll add a positive 9x to the -9x, since it can be hugely helpful to have one side result in 0.

Now we're working with 15x (6x + our new 9x) - 3 = 0

Since we have "whole like terms" we can now easily add 3 to each side.

Now we're working with 15x = 3 (0 + our new 3)

We can finish by dividing each side by 3.

15x = 3 now turns into 5x = 1.

To get from 5 to 1 you can multiply 5 by its "multiplicative inverse," also known as 1/5.

Therefore, x = 1/5

Hopefully this helped a bunch! Tell me if you need any further assistance...

( :

Y=2x+9
Y=6-x
Solve the system of linear equations by

Answers

Answer: (-1,7)

If you just set them equal to each other by the process of substitution, the equation would look like:

6-x=2x+9
6=3x+9
-3=3x
x= -1

Then solve for y by substituting the x value:

Y=6-(-1)
Y=7

So, your answer would be (-1,7)

Which of the following correctly describes the graph?

Answers

Answer:

C is correct

Step-by-step explanation:

The x and y axes are linear, the plot is linear. The constant rate of change is assured with those conditions.

A previous survey of Washington residents showed that 18% of residents accessed a state park within the last 12 months. This year, the state would like to re-administer the survey, but wants to be sure the Margin of Error in their new study will be at most 4%. Assuming they believe the previous survey's results were reliable, how many samples should they take to ensure their Margin of Error is at most 4% if they plan to analyze the data using a 95% confidence interval

Answers

Using the z-distribution for the margin of error, it is found that 355 samples should be taken.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which  z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The estimate is of 18%, hence [tex]\pi = 0.18[/tex].

95% confidence, hence [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].  

The minimum sample size is n for which M = 0.04, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.18(0.82)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.18(0.82)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.18(0.82)}}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.18(0.82)}}{0.04}\right)^2[/tex]

[tex]n = 354.4[/tex]

Rounding up, 355 samples should be taken.

A similar problem is given at https://brainly.com/question/14936818

75% of the amount is 4.5 cm

Answers

Answer:

6

Step-by-step explanation:

if a chocolate cake is divided into six equal slices and each slice has 280 calories

Answers

Answer:

Whats the question?

Step-by-step explanation:

Answer:

1,680

Step-by-step explanation

6 slices each 280 calories, 280 x 6 = 1,680

a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base so that the two solids of equal weight will be formed?

Answers

A structure which has a square base and four triangular sides meeting at a point is called pyramid.

At distance of 3.97 feet from its vertex , pyramid is cut by plane  so that the two solids of equal weight will be formed.

It is assumed that weight of pyramid is proportional to its volume.

So,   [tex]w = k V[/tex] , where V is volume of original pyramid and v is volume of small pyramid and k is constant.

Let us consider that at h  distance,  pyramid is cut from its vertex. So a small pyramid is also formed.

Assume that base area of original pyramid is A and base of small pyramid is a.

Volume of original pyramid is,   [tex]V= \frac{1}{3} *A* 5[/tex]

So, weight of original pyramid,  [tex]W = k *(\frac{1}{3} *A* 5) = 800[/tex]

Volume of small pyramid is,  [tex]v = \frac{1}{3}* a* h[/tex]

So, weight of small pyramid, [tex]w = k*(\frac{1}{3}* a* h)=400[/tex]

Since, base and height of small pyramid and original pyramid are in proportion.

So,  [tex]\frac{a}{A} = (\frac{h}{5}) ^{2}[/tex]

       [tex]a = (\frac{h}{5} )^{2}A[/tex]

Substituting value of a in  equation [tex]k*(\frac{1}{3}* a* h)=400[/tex]

So, [tex]k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400[/tex]

       [tex](k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400[/tex]

Since, [tex](k *\frac{1}{3} *A* 5) = 800[/tex], substitute in above equation.

    So, [tex]800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet[/tex]

Learn more:

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Find the value of y.

Answers

Answer:

y = 155

Step-by-step explanation:

6x + 1 = 2x + 17

x = 4

2 · 4 + 17 + y = 180

y = 155

I hope that this helps!!

Suppose y varies directly with x. If y=16 when x= 8, find x when y=10

Answers

Answer:

5

Step-by-step explanation:

By question,

=> y = kx

When y = 16 , x = 8

=> 16 = x(8)

=> x = 2

When y = 10 ,

=> 10 = 2x

=> x = 5

Answer:

5

it is the correct answer

Add or subtract. write fractions in simplest form.
-5/3 + 2 1/3

how do i do this problem? i will mark you brainliest. please help!

Answers

Answer:

2/3

Step-by-step explanation:

-5/3 + 2 1/3 =

= 2 1/3 - 5/3

= 2 1/3 - 1 2/3

= 1 4/3 - 1 2/3

= 2/3

Answer:

2/3

Step-by-step explanation:

First, change 2 1/3 into an improper fraction.

2 1/3 --> 7/3

Substitute that value back into the equation

-5/3 + 7/3

At this point, you can rewrite the equation into:

7/3 - 5/3

Since they have the same denominator, just subtract the numerator's values.

2/3

Emily took an airplane trip. Her plane flew an equal number of miles each hour. Write an equation to represent one way you can find how many miles Emily's plane flew each hour.

Use this to help you:

Air travel time: 12 hours
Destination: 2,184 miles​

Answers

182.00 miles per hour

y = 182x will be the equation to represent one way you can find how many miles Emily's plane flew each hour.

What is the equation?

A formula that expresses the connection between two words on each side of an indication. A calculation with an integer multiple is referred to as an equation. Algebra is widely used in equations. In performing calculations but unsure of the precise amount, algebra is utilized.

The information that is provided is

the air travel time is 12 hours

The destination miles will include  2,184 miles​

Assuming the values of x and y

x = number of hours n

y = distance covered

The equation that will be made will be:

y = (2184 / 12)x

y = 182x

Therefore, the equation will be y = 182x.

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Which of the following best describes the equation below?

y^2=x

A.
both a relation and function
B.
function only
C.
neither a relation nor a function
D.
relation only

Answers

Answer:

I believe it's a relation

Answewant to be allies?

Step-by-step explanation: lol

In a garden 30% of the plants are carrots. If 63 plants are not carrots, how many of the plants are carrots.
Must show each step.

Answers

Answer: 27 see my work

Step-by-step explanation:

1. We know that 30% are carrots, meaning that 70% are not carrots (30% + 70% = 100%)

2. Since 70% and 63 of the plants are not carrots, we know that 63 = 70%

3. We need to find 30% of the plants (all of the carrots) so let’s divide 63 by 7

63 = 70%

*divide both by 7*

9 = 10%

4. We know that 9 plants is equivalent to 10% of the plants, so let’s multiply by 3 to get the number of carrots

9 = 10%

*multiply by 3*

27 = 30%

There are 27 carrots

A ticket for a show costs ​$114.50. A parking pass costs ​$13.00. Let x represent the number of tickets and y represent the cost. How much does it cost for 2 tickets and a parking​ pass?

Answers

Answer:

X multiplied by Y is $229 plus a parking pass being $242

Step-by-step explanation:

X = 2 (2tickets)

Y = $114.50 (cost of one)

multiplying the tickets by the cost of one will give you $229 and the cost for the parking pass being $13.00 well 29 + 13 = 42 adding 42 to the 200 we left gives you $242 for 2 tickets and a parking pass

(3.71 + (-5.25))(4+(-9)

Answers

Answer:

You need a calculator to solve, but here: 7.7

Step-by-step explanation:

u missed a few paranthesis. I solved this instead: (3.71 + (-5.25))(4+(-9))

first subtract 3.71 by 5.25 to get -1.54 then subtract 4 by 9 to get -5. Then you multiply them to get 7.7.

The following accounts appear in the ledger of Monroe Entertainment Co. All accounts have normal balances.
Accounts Payable $1,500 Fees Earned $3,600
Accounts Receivable 1,800 Insurance Expense 1,300
Prepaid Insurance 2,000 Land 3,000
Cash 3,200 Wages Expense 1,400
Drawing 1,200 Capital 8,800

Total assets are
a. $10,000
b. $9,800
c. $9,700
d. $8,000

Answers

The total assets of Monroe Entertainment Co. are $8,000. Option D is correct.

An asset in business is defined as any form of resources owned by an individual or controlled by a business enterprise.

From the given account that appears in the ledger of Monroe Entertainment Co, the assets include the account receivables, Land, and Cash.

Taking the sum of the given assets to get the total asset.

Total assets =  account receivables + Land + Cash

Total assets = $ 1,800 + $3,000 + $ 3,200

Total assets = $8,000

Hence the total assets of Monroe Entertainment Co. are $8,000

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find the inverse for the function f(x)= 14-3x/8-2x​

Answers

Answer:

y = 8x/93

Step-by-step explanation:

To get the find the inverse function, swap x and y and solve the equation for x.

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