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ohaa [14]
3 years ago
9

Simplify and solve each equation for the x

Mathematics
1 answer:
Trava [24]3 years ago
5 0

Answer:

3x/2

Step-by-step explanation:

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Use proportional reasoning to solve for the missing value in each of the following scenarios. Enter a numerical answer only.A bu
yuradex [85]

Q1. A business jet burns 300 gallons of gasoline per hour. How many gallons of gasoline will the jet burn in a three hour flight?

Let the number of gallons required in 3 hours be = x

\frac{x}{3}=\frac{300}{1}

x=900 gallons.

Answer: The business jet burns 900 gallons of gasoline in a three hour flight.

Q2. On average, one gallon of gasoline weights approximately six pounds. How many pounds does fifty gallons of gasoline weigh?

Let the weight in pounds of 50 gallons be = x

\frac{1}{6}=\frac{50}{x}

x=300 pounds

Answer: Fifty gallons of gasoline weighs 300 pounds.

Q3. For every one yard, there are thirty-six inches. Convert 2,124 inches to an equivalent number of yards.

Let the number of yards be = x

\frac{1}{36}=\frac{x}{2124}

36x=2124

x=\frac{2124}{36}=59 yards

Answer: 2,124 inches = 59 yards

Q4.  A person who weighs 240 pounds burns 180 calories per mile of running. If a person burns thirty-six calories by running one mile, how much does the person weigh?

Let the weight of the person be = x

\frac{240}{180}=\frac{x}{36}

180x=240\times36

180x=8640

x=48 pounds

Answer: A person who weighs 48 pounds, burns thirty-six calories while running one mile.

Q5. A rice casserole recipe serves four people and requires two tablespoons of butter. How many people will the rice casserole serve if the recipe is scaled to require six tablespoons of butter?

Let the number of people who can be served be = x

\frac{4}{2}=\frac{x}{6}

2x=24

x=12

Answer: A rice casserole that requires six tablespoons of butter serves 12 people.



5 0
3 years ago
Please help I will give brainliest.
Kruka [31]

Answer:

A

Step-by-step explanation:

Construct a perpendicular bisector of segment AB.

Perpendicular bisector is a line that divides the line into two equal halves forming 90° at the intersection point.

So, points A and B will be at the same distance from the intersection point.

If the constructed line (perpendicular bisector) is the reflection axis, then point B will be the refection point of A.

8 0
2 years ago
How much larger is 45 than 10
riadik2000 [5.3K]
35.

Vagqksnbsiwnsbsjwb
5 0
3 years ago
Read 2 more answers
Rewrite in simplest terms: (-x+8y)+(-10x-6y)(−x+8y)+(−10x−6y)
Nina [5.8K]

Answer:

10x² - 48y² - 11x + 2y - 74xy

Step-by-step explanation:

(-x+8y)+(-10x-6y)(−x+8y)+(−10x−6y)

Rearranging,

=> - x - 10 x + 8y - 6y + (-10x-6y)(−x+8y)

=> - 11x + 2y + 10x² - 48y² + 6xy - 80xy

=> 10x² - 48y² - 11x + 2y - 74xy

7 0
3 years ago
If negative 5C +6 equals -69 what is the value of 6c-15
IceJOKER [234]

-5c + 6 = -69

-5c = - 75

c = 15


6c - 15

6(15) - 15

90 - 15

75

7 0
3 years ago
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