MATHEMATICS MIDDLE SCHOOL

On a scale model of a building, 1 4 inch represents 3 8 foot. What length on the model represents 1 foot? 3 32 in. 2 3 in. 1 1 1 in. 10 2 3 in.

Answers

Answer 1

Answer:

Answer:

2/3 in

Step-by-step explanation:

We can use ratios to solve this problem.

1/4 inch x inches

-------------- = ---------------------

3 /8 ft 1 ft

Using cross products

1/4 * 1 = 3/8 * x

Multiply each side by 8/3 to isolate x

1/4 * 8/3 = 3/8*8/3 x

2/3 = x

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Madeline uses fewer than 5 coins to pay 60. Draw coins to show one way she could pay 60

Answers

The answer is 41 guests attended the dinner party.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here, we have,

Let the number of guest be x.

$15 per guest is: 15x

There is addition of $60 because of the mistake: +60

The final bill was 675:

675 = 15x + 60

675 - 60 = 15x

615 = 15x

x = 615 / 15

x = 41

Hence, The answer is 41 guests attended the dinner party.

To learn more on equation click:

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complete question:

Madeline hosted a dinner party at her favorite restaurant. She had to pay $15 per guest. The restaurant took $60 off the bill due to a mistake in the order. If the final bill is $675, how many guests attended the dinner party?

25 25 5 5 cents because 25+25=50 50+5+5= 60
25 25 10 cents because 25+25=50 50+10=60

Hurry Please! :)What is the area of this figure?

28 yd²

40 yd²

52 yd²

64 yd²

Answers

answer is 40 yd²
--------------------------

area of right triangle = 24
area of squar = 16
--------------------------------------add = 40

Area = b*h and in some cases * 2 so you need to do this, 64*52 + 40*28= 4448 yd2

Can someone please come fast

Answers

assume sea level=0

she started at 0.2 below sea level or -0.2

the she hiked and ended at 1.4 above sea level

the distance between any 2 points is
point 1=x
point 2=y
|x-y|=distnace
|| is absolute value bars which basically makes everyghing inside positive
in equation
|-0.2-1.4|=|-1.6|=1.6

the distance is 1.6 miles

.2 mi + 1.4 = her total hike
1.4
+ .2
____
1.6 mi

What is the value of x? Round your answer to the nearest tenth if necessary.Right triangle whose two legs measure seven and four, and whose hypotenuse is x

Answers

We know that to find the sides of a right triangle we can use the Pythagorean theorem: A^2 + B^2 = C^2.

Plugging in our sides into the equation:
7^2 + 4^2 = x^2
49 + 16 = x^2
65 = x^2
x = 8.06

Rounding x to the nearest tenth, we get x = 8.1

What is the answer to 2(5x+3)=3x-22

Answers

Apply the distributive property.
2(5x)+2(3)=3x−22

Simplify.
Move 5.
5⋅2x=3x−22

Multiply 5 by 2 to get 10.
10x=3x−22

Replace back into larger expression.
10x+2(3)=3x−22

Multiply 2 by 3 to get 6.
10x+6=3x−22

Since 3x contains the variable to solve for move it to the left-hand side of the equation by subtracting 3x from both sides.
10x+6−3x=−22

Add 10x and −3x to get 7x.
7x+6=−22

Since 6 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 6 from both sides.
7x=−6−22

Subtract 22 from −6 to get −28.
7x=−28

Divide each term in the equation by 7.
x=−4

X is equal to -4

$2(5x+3)=3x-22\n10x+6=3x-22\n7x=-28\nx=-4$

Lois made a dish with cups of pasta. One serving of the pasta is 0.2 cups. How many servings of pasta were in the dish Lois made?A. 31 2/3

B. 4 2/9

C. 9

D. 24