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2 years ago

What does x equals to if 3( x + 7 ) =57

Mathematics

1 answer:

zepelin [54]2 years ago

7 0

3(x + 7) = 57 |÷3

x + 7 = 57/3

x + 7 = 19 |-7

x = 19 - 7

x = 12

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A shopper’s discount club charges a monthly fee of $15 and sells gasoline for $2.05 per gallon. The gas station across the stree

NeX [460]

Answer:

15 + 2.05 x = 2.35 x

Step-by-step explanation:

Let x be the number of gallons you would have to buy for the two places to be the same.

At the club, there is a monthly fee of $15 that is charged once in a month. They also charge $2.05 per gallon, which is charged every gallon of gas you buy.

We can write an expression: 15 + 2.05 x

At the gas station, they charge $2.35 per gallon with no other fees.

We can also write an expression: 2.35 x

For the prices to be the same, we have 15 + 2.05 x = 2.35 x

If we were to solve, then we have:

(2.35 - 2.05) x = 15

x = 15 / 0.3 = 50 gallons

8 0

2 years ago

The population of Preston is 89,000 and is decreasing by 1.8% each year. Write a formula that models the population as a functio

Fiesta28 [93]

Answer:

$P=89,000e^{-.018t}$

Step-by-step explanation:

I used this equation formula and just input the numbers given:

$P=P_{o}e^{rt}$

Where

P= final population

$P_{o}$ = original population

r = rate of growth

t = time

Hope this helps!

6 0

2 years ago

Katarina [22]

Answer:

The volume of rectangular prism is $\frac{24}{105}$ inches³

Step-by-step explanation:

Given as :

The Length of rectangular prism = L = $\frac{2}{3}$ inches

The Breadth of rectangular prism = B = $\frac{3}{5}$ inches

The Height of rectangular prism = H = $\frac{4}{7}$ inches

Let The volume of rectangular prism = V inches³

A rectangular prism is a 3-D figure with 6 faces

Now, From formula of rectangular prism

Volume = Length × width × height

Or, V = L × B × H

Or, V = $\frac{2}{3}$ inches × $\frac{3}{5}$ inches × $\frac{4}{7}$ inches

or, V = $\frac{2\times 3\times 4}{3\times 5\times 7}$ inches³

or, V = $\frac{24}{105}$ inches³

So, The volume of rectangular prism = V = $\frac{24}{105}$ inches³

Hence The volume of rectangular prism is $\frac{24}{105}$ inches³ Answer

5 0

3 years ago

ADE

valina [46]

Answer:

7 cups of sugar

Step-by-step explanation:

Find out how many pies Luca need to bake left =

45 - 17 = 28

1 cup of sugar = 4 pies

28 ÷ 4 = 7 cups of sugar

This may be wrong as this was rushed as I have to go for my next class now.

4 0

2 years ago

Please help me with this-

bija089 [108]

Answer and Step-by-step explanation:

Section the figure into two 3D shapes.

We get both figures to be a rectangular prism.

The Volume of a rectangular prism is length times width times height.

V (of top Rectangular Prism) = 2 × 2 × 4 = 16

V (of bottom Rectangular Prism) = 6 × 4 × 2 = 48

Now, we add those two volumes together to get the volume of the irregular figure.

16 + 48 = 64.

The volume of the irregular figure is 64 $cm^3$

#teamtrees #PAW (Plant And Water)

4 0

2 years ago