The entry ticket to a local football game costs $12 for an adult and $8 for a child. A group of 100 people paid an entry fee of $1,056. How many adults and how many children were there in this group? Drag the correct value to the appropriate box.

Answers

Answer 1

Step-by-step explanation:

let x be the number of adults and y number of childrens

so we have. x+y=100 people

and. 12*x+8*y=1056 dollars

x=100-y

replace 100-y to the second equation

12*(100-y)+8y=1056

1200-12y+8y=1056

1200-4y=1055

1200-1056=4y

144=4y

y=144/4=36

so x=100-y=100-36=64

so in this group were 64 adults and 36 childrens

Answer 2

In this group were 64 adults and 36 children.

What is system of equation ?

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.

let x be the number of adults and y number of children

so we have. x + y = 100 people

and. 12 × x + 8 × y = 1056 dollars

x=100 - y

replace 100 - y to the second equation

12 × (100 - y) + 8y = 1056

1200 - 12y + 8y = 1056

1200 - 4y = 1055

1200 - 1056 = 4y

144 = 4y

y = 144/4 = 36

so x = 100 - y = 100 - 36 = 64

Hence, in this group were 64 adults and 36 children.

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Answers

Translation in right or left causes the x coordinate to change while translation in up or down causes the y coordinate to change.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

10% of 63 is 6.3 so 63+6.3=69.3

Step-by-step explanation:

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Answers

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Step-by-step explanation:

c. The Pythagorean theorem applies. The square of the hypotenuse is the sum of the squares of the other two sides.

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

if its 1&1/2 then it would be 6

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:


A gallon of gasoline at the local gas station
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Answers

Answer: $21.52

Step-by-step explanation: 2.69 times 8 = $21.52

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Answers

Answer:

we have the width is 8 cm and the diagonal line is 17 cm so to get the length you're going to use Pythagoras theorem so 8 centimetres will be represented by a 17cm will be represented by c then length will be represented by b so b squared is equals to c squared minus a squared say 17 squared - 8 squared 17 squared is 289 while 8 squared is 64 the result will be 225 so b squared is equals to 225 to get b we will get the square root so b is equals to 15 so our length is 15 the area is equals to length x width so 15 * 8 you get 120 square centimetres

120 square centimeters is the area of rectangle FGHK.

What is area of a rectangle?

Area of a rectangle (A) is the product of its length (l) and width (w).

here, we have,

from the given figure,

we have the width is 8 cm and the diagonal line is 17 cm

so to get the length you're going to use Pythagoras theorem

so 8 centimeters will be represented by a

17cm will be represented by c

then length will be represented by b

so b squared is equals to c squared minus a squared

say 17 squared - 8 squared

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so b squared is equals to 225

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so b is equals to 15

so our length is 15

the area is equals to length x width

so 15 * 8

you get 120 square centimeters.

hence, 120 square centimeters is the area of rectangle FGHK.

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Look for 1 on the x-axis and put your finger on it.

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Answers

Answer:

x= 4 is a solution

Step-by-step explanation:

Answer:

When x = -3 is given, all you need to do is substitute and check if the answers in LHS and RHS are equal.

2x+4=8+x

2(-3)+4=8+(-3)

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-2 [tex]\neq[/tex] 5

NO SOLUTION

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Answers

Answer:

-49%

Step-by-step explanation:

i know this one by doing a long math formula

Answer:

49.0%

Step-by-step explanation:

take the 2 numbers and find the difference

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

7+3/8+4 x =-6

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Answer:

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Answers

Answer:

5 feet (60 inches) proportional to 2 inches is a 30:1 relationship.

15 feet (180 inches) in real life should equal 6 inches on the diagram.

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Fred and Matt are playing basketball. If x represents the points Matt ended with, and 3x represents the points Fred ended with, what does that tell you about the relationship between Matt and Fred’s points?

Answers

It tells you that Fred has three times the score more than Matt.

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Write the steps to solving the following problem.
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Step 1:
Step 2:

Answers

Step 1: Add 3x to both sides to get 4 = 3x - 1

Step 2: Add 1 to both sides to get 5 = 3x

Step 3: Divide by 3 on both sides to get 5/3 = x

Answer:

x = [tex]\frac{5}{3}[/tex]  or [tex]1 \frac{2}{3}[/tex]

Step-by-step explanation:

Isolate the variable x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

~

Step 1:

Subtract 4 from both sides of the equation:

4 (-4) - 3x = -1 (-4)

-3x = -1 - 4

-3x = - 5

Step 2:

Divide -3 from both sides of the equation:

(-3x)/-3 = (-5)/-3

x = -5/-3

x = 5/3

x = 1 2/3

238 x 13 please explain the steps too

Answers

Answer:

3094

Step-by-step explanation:

The way that I'm going to do it it's not the traditional

[tex]238\cdot13\\\\\longrightarrow 13=10+3\\\\\Rightarrow 238\cdot(10+3)\\\\=238\cdot(10)+238\cdot(3)\\\\=2380+238\cdot (3)\\\\=2380+(200+30+8)(3)\\\\=2380+(200)(3)+(30)(3)+8(3)\\\\=2380+600+90+24\\\\=2980+90+24\\\\=3004+90\\\\=3094[/tex]

can someone help me figure this out?

Answers

Answer:

SAS

Step-by-step explanation:

SAS stands for Side Angle Side. Because the two triangles have a side, angle, and side in common, SAS is the correct answer.

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