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3 years ago

8x - 14 = 7.7x + 3x

Mathematics

1 answer:

djverab [1.8K]3 years ago

3 0

Answer:

x=5.2

Step-by-step explanation:

8x−14=7.7x+3x

Step 1: Simplify both sides of the equation.

8x−14=7.7x+3x

8x+−14=7.7x+3x

8x−14=(7.7x+3x)(Combine Like Terms)

8x−14=10.7x

Step 2: Subtract 10.7x from both sides.

8x−14−10.7x=10.7x−10.7x

−2.7x−14=0

Step 3: Add 14 to both sides.

−2.7x−14+14=0+14

−2.7x=14

Step 4: Divide both sides by -2.7.

−2.7x /−2.7 = 14 /−2.7

x=−5.185185 or 5.2

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3 years ago

A light bulb consumes 3120 watt-hours in 3 days and 6 hours. How many watt-hours does it consume per day?

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3 years ago

If one basket contains five bottles each weighing 7 1/4 ANSYS and the other basket has six apples each weighing 6 1/2 ounces woo

Tems11 [23]

Question:

If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much ?

Answer:

The basket of bottles weighs more than the basket of apples by $3\frac{3}{4}$ ounces

Step-by-step explanation:

Given

$Bottles = 5$

$Weight(Bottle) = 7\frac{1}{4}$

$Apples = 6$

$Weight(Apple) = 6\frac{1}{2}$

Required

Determine which basket is heavy

and by how much?

First, we need the total weight of each basket.

For the bottles' basket

$Total\ Weight = Weight * Bottles$

$Total\ Weight = 7\frac{1}{4} * 5$

$Total\ Weight = \frac{29}{4} * 5$

$Total\ Weight = \frac{29 * 5}{4}$

$Total\ Weight = \frac{145}{4}$

$Total\ Weight = 36\frac{1}{4}$

For the bottles' basket

$Total\ Weight = Weight * Apples$

$Total\ Weight = 6\frac{1}{2} * 5$

$Total\ Weight = \frac{13}{2} * 5$

$Total\ Weight = \frac{13* 5}{2}$

$Total\ Weight = \frac{65}{2}$

$Total\ Weight = 32\frac{1}{2}$

By comparing both total weights, $36\frac{1}{4} > 32\frac{1}{2}$

Hence:

The basket of bottles weighs more than the basket of apples

Calculating the difference:

$Difference = 36\frac{1}{4} - 32\frac{1}{2}$

$Difference = \frac{145}{4} - \frac{65}{2}$

$Difference = \frac{145 - 130}{4}$

$Difference = \frac{15}{4}$

$Difference = 3\frac{3}{4}$

Hence:

It weighs more by $3\frac{3}{4}$ ounces

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3 years ago

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3 years ago

Read 2 more answers

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TiliK225 [7]

-5 is for f(x)=x+5
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3 years ago