All categories

3 years ago

Can you solvefor x 3 (x+4)+5x=-20

1 answer:

3 0

Solve for x:5 x + 3 (x + 4) = -20
3 (x + 4) = 3 x + 12:3 x + 12 + 5 x = -20
Grouping like terms, 5 x + 3 x + 12 = (5 x + 3 x) + 12:(5 x + 3 x) + 12 = -20
5 x + 3 x = 8 x:8 x + 12 = -20
Subtract 12 from both sides:8 x + (12 - 12) = -12 - 20
12 - 12 = 0:8 x = -20 - 12
-20 - 12 = -32:8 x = -32
Divide both sides of 8 x = -32 by 8:(8 x)/8 = (-32)/8
8/8 = 1:x = (-32)/8
The gcd of -32 and 8 is 8, so (-32)/8 = (8 (-4))/(8×1) = 8/8×-4 = -4:Answer: x = -4

You might be interested in

Hank’s pickup can travel 60 miles on 5 gallons of gas. How many gallons will Hank’s pickup need to travel 36 miles

Scorpion4ik [409]

60 / 5 = 12 miles per gallon

36 miles = 12 miles / gal * x gallons

divide by 12

36/12 =x gallons

3 =x

He needs 3 gallons

7 0

3 years ago

Read 2 more answers

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle co

Umnica [9.8K]

Answer:

(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.

Step-by-step explanation:

Given

$Minimum\ Area = 135cm^2$

$Maximum\ Area = 155cm^2$

$\pi = 3.14$

Required

Which circle could she use

To do this, we simply calculate the areas of all the given circles

The area of a circle is:

$Area = \pi r^2$

Where

$r = radius$

$a.\ r = 6cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (6cm)^2$

$Area = 3.14 * 36cm^2$

$Area = 114.04cm^2$

$b.\ r = 7cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (7cm)^2$

$Area = 3.14 * 49cm^2$

$Area = 153.86cm^2$

$c.\ r = 8cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (8cm)^2$

$Area = 3.14 * 64cm^2$

$Area = 200.96cm^2$

$d.\ r = 9cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (9cm)^2$

$Area = 3.14 * 81cm^2$

$Area = 254.34cm^2$

<em>From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2</em>

6 0

3 years ago

Read 2 more answers

A farmer owns 1,000 acres. The farmer buys farms of 120 acres, 160 acres, and 700 acres and sells one farm of 190 acres. How man

vredina [299]

Answer : The area of land a farmer own now is, 1790 acres

Step-by-step explanation :

Area of land a farmer owns = 1000 acres

Total area of land farmer buy = 120 acres + 160 acres + 700 acres

Total area of land farmer buy = 980 acres

Area of land a farmer sells = 190 acres

Thus, the remaining area of land a farmer has = Total area of land farmer buy - Area of land a farmer sells

The remaining area of land a farmer has = 980 acres - 190 acres

The remaining area of land a farmer has = 790 acres

Now we have to determine the area of land a farmer own now.

Area of land a farmer own now = 1000 acres + 790 acres

Area of land a farmer own now = 1790 acres

Therefore, the area of land a farmer own now is, 1790 acres

3 0

4 years ago

Read 2 more answers

A rectangular hat box has a value of 5,184 cubic inches. The box is 2feet Long by 18in wide. What is the hat box’s height?

Hatshy [7]

D would be the correct answer. Post brainliest if this helped plz :)

6 0

3 years ago

Can someone help me

Daniel [21]

Y=10x+8
8 is the y intercept because it’s when x=0

3 0

3 years ago