A class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students is 52.Create an equation that models this situation.How many girls are in the class?

Answers

Answer 1

8 boys, x girls, 4 pencils each, total number of pencils 52.

The equation can be 4(8+x) = 52

So lets solve:

4(8+x)=52

Divide 4 on both sides:

8 + x=52 / 4

8 + x = 13

Subtract on both sides:

x = 13 - 8

x = 5

There are 5 girls in the class.

Now lets solve to double check:

4(8+5)=52

4(13)=52

52 = 52

Yes!

This means that there are 5 girls in the class.

I hope this helps! :)

Answer 2

Taking into account the definition of equation, there are 5 girls in the class.

Definition of equation

An equation is defined as an equality established between two expressions, in which there may be one or more unknowns that must be solved.

In other words, an equation is the equality between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

Each equation has two members, and these are separated by using the equal sign (=), which in turn each of them are made up of terms.

The unknowns, that is, the values ​​to be found, are represented by letters.

The equality between the two algebraic expressions is only verified for certain values ​​of the unknown.

In this way, the solution of an equation means determining through certain procedures the value that satisfies it.

Equation for this situation

A class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students is 52.

An equation that models this situation is:

4×(8+x)= 52

It is considered that:

When a value you are adding goes to another side of the equation by subtracting.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value you are multiplying goes to the other side of the equation, then it will go by dividing everything on the other side.

Solving in this case:

8 +x= 52÷4

8 +x= 13

x= 13 -8

x= 5

Finally, there are 5 girls in the class.

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Related Questions

If -2 - 4x = -8x + 3x,
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Answers

Answer:

-0.8

Step-by-step explanation:

-2 -4 = -8x + 3x

-6 =-5x

x = 1.2

so x-2 =

1.2 -2 = -0.8

x²-x-(a+1)(a+2)
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Answers

Answer:

x2 - x - a2 - 3a - 2

Step-by-step explanation:

STEP 1

 ((x2) -  x) -  (a + 1) • (a + 2)

STEP 2

Final result :

 x2 - x - a2 - 3a - 2

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Answer:

4

Step-by-step explanation:

a ÷ b = 2 ÷ 1/2 = 2 × 2/1 = 4

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Answers

Answer:

18064

Step-by-step explanation:

these equations are always in this order:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

To remember this, my teacher told us the phrase; "Please Excuse My Dear Aunt Sally".

[tex](8+0+-2²-7)²+7[/tex]

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[tex](8+0-2A^{2} -7 )A^{2} +7= (1-2A^{2} )A^{2}+7 = A^{2} -2A^4 +7[/tex]

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f(x) = 2(x − 2)2 + 3

Answers

Answer:

4x-5

Step-by-step explanation:

the answer is 4x-5 as we apply multiplication and subtraction

Byron did 80% of the assignments this quarter. If he had a total of 20 assignments, how many did he do?



HELP ASAP I NEED IT BY 4:00 PLS HELPPPPPPPPPPPP

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Answer:

5/20

quater is divided into 4 pieces to get a whole and 3/4 is 15 and 1/2 is 10 and 20 is whole and 1/4 is 5

What is 3, 4, 5, 6, and 7.

Answers

3-reflexive
4- angle addition postulate
5-?
6-?
7-


Use the ALEKS calculator to write9/16
as a decimal rounded to the nearest hundredth.

Answers

9/16 = .5625

Rounding to the nearest hundredth, the answer is .56

Find the missing angle. *
45
X
65
45
52
O 25

Answers

Answer:

Ans is 65

Mark me BRAINLIEST

Answer:

x is 45

Step-by-step explanation:

since the interior of a circle is 360, and that portion of the outside Is 45, we add 45 to get 90.since there are 4 quarter in a circle, each one would equal 90. 90 times 4 is 360.

Lindsay got her hair cut. The cost of a haircut
is $16. If she wants to tip her hairstylist 20%,
how much should she leave for the tip?

Answers

16 x .20 add the .20 value for the total price

If triangle he an area of 36 and a height of 12 calculate the length of the base.

Answers

Answer:

Below.

Step-by-step explanation:

A = 1/2bh for a triangle.

36 = 1/2b(12)

36 = 6b

----    ----

6        6

b = 6

Tracy has 3/4 pounds of rice to give to 6 of her friends. If each
friends gets an equal amount, how much rice will each friend
receive?

Answers

Answer:

1/8 Pounds

Step-by-step explanation:

Since Tracy gives 3/4 pounds of rice to 6 of her friends, you will need to divide it among 6 people.

3/4 ÷ 6

= 3/4 * 1/6

= 1/4 * 1/2 (cross multiplication)

= 1/8.

Therefore, each of her 6 friends received 1/8 Pounds of rice

I hope this helped!

3/7 rounded to the nearest thousand

Answers

3/7= 0.42857143
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Answer:

420

Step-by-step explanation:

300+40% equals 420 so he earned 420 last month from the commission

Answer:

$120

Step-by-step explanation:

A 40% commission means he earns 40% of the total revenue. That's 40% of $300 in this case.

To convert from a percentage to a multiplier, divide by 100:

[tex]\frac{40}{100} =0.4[/tex]

Then multiply the total revenue by that number:

[tex]300*0.4=120[/tex]

Alyssa fed her dog 2/3 cup of dog food in the morning and another 5/8 cup in the evening. How much did her dog eat over the course of the day? Write your answer as a mixed number​

Answers

1 7/24 is the correct answer I will show you how to get it if needed.

Answer:

1  7/24

Step-by-step explanation:

2/3 x 8/8= 16/24

5/8 x 3/3= 15/24

31/24 = 1 7/24

brainly helpppp me out

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Answer:

D

Step-by-step explanation:

I think it might be (D) $2x-5

Marco is making a kite, using sticks for its diagonals. One stick is 2 feet long and the other is 3 feet long. How much material will Marco need to make the kite? 2 square feet 3 square feet 4 square feet 6 square feet.

Answers

Answer:

3 square feet

Step-by-step explanation:

Got it right because of the answer above :)

Marco will need 3 square feet of material to make the kite.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

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We have,

We can use the formula for the area of a kite, which is:

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where d1 and d2 are the lengths of the two diagonals.

In this case,

d1 = 2 feet, and d2 = 3 feet.

Substituting these values into the formula, we get:

A = (1/2) x 2 feet x 3 feet

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Therefore,

Marco will need 3 square feet of material to make the kite.

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1 + tan^2 (π/6) = _______.


A. csc^2 (π/6)

B. sec^2 (π/6)

C. cot^2 (π/6)

D. 1 - tan^2 (π/6)

Answers

Answer: B??

Step-by-step explanation:

Correc me if i wrong ovo

5.6p-3=-9+2(p+7) in a five step equation.

Answers

Answer:

p=2

Step-by-step explanation:

6p-3=-9+2(p+7)

6p-3=-9+2p+14                       Distributive Property

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   +3       +3

━━━━━━

6p=2p+8                                  Addition Property of Equality

-2p  -2p

━━━━━━

4p=8                                         Subtraction Property of Equality

━  ━

4     4

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If the chance of rolling a 3 on a dice is 1/6, what is the chance of not rolling a
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Answers

Answer:

5/6

Step-by-step explanation:

Assuming we are using a standard 6-sided die, we can say that there are 6 numbers on the die. 1, 2, 3, 4, 5, and 6. The chance of rolling any number, including 3, is 1/6

The change of not rolling a 3 would be 5/6, because there are 5 other numbers besides 3

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Step-by-step explanation:

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David drove 236 miles in 4 hours. On average, how fast did he drive, in miles per hour?

Answers

Answer:

59 mph

Step-by-step explanation:

236/4 = 59

Steps:

1. State the question: 236 miles in 4 hours

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Answer:

2/1 a improper fracrion 1/2 is a proper fraction

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Step-by-step explanation:

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Answers

Answer:

ΔOGD≅ ΔPRC

Step-by-step explanation:

Choose the steeper line.
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Answers

Hello there!

y=1/2x-3 is steeper than y=1/4x-8

The bigger the slope, the steeper the line.

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~Just a cheerful teen

#CarryOnLearning

[tex]SilentNature[/tex] here to help

Steve increases his math average by 9 points over a period of 15 weeks. How many points per week did his average increase?

Answers

Answer:

.6 points per week

Step-by-step explanation:

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HELP ASAP!!!
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Answers

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Answer:

×=2 is the right answer

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information about five planets is shown in the table below. write down the name of the planet with the greatest mass

Answers

Answer:

Jupiter

Step-by-step explanation:

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How would you write 262 × 3 in addition form?
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Answers

Answer:

262x3=768 so you need to find which answer equals 786 in addition form.

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option b is equal to 786

option c is equal to 624

option d is equal to 2358

your answer would be option b.

Step-by-step explanation:

hope this helps

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