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SVEN [57.7K]
3 years ago
12

For each part, use the Distributive Property to write an equivalent expression

Mathematics
2 answers:
iren2701 [21]3 years ago
6 0

Answer:

The answer is -3x.

Step-by-step explanation:

Combine like terms.

Hope this helps :)

dolphi86 [110]3 years ago
5 0

Answer:

-3x

Step-by-step explanation:

-7x+4x

think of it as 4x-7x when you take 4 away from 7 you get a negative 3 therfore your answer will be -3x

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Solar panel generates 3/5 of kilowatts of power a warehouse wants to generate 24 kilowatts of power write an expression to find
Anuta_ua [19.1K]

Answer:

The warehouse will need 40 solar panels

Step-by-step explanation:

3/5 kilowatts is generated by 1 solar panel

24 kilowatts will be generated by ?

24 ÷ 3/5 = (24×5)/3 = 120/3 = 40 solar panels.

3 0
3 years ago
Read 2 more answers
ANSWER PLSSS!! Brian puts $2000 in the bank. He leaves it there for 2 years. The bank uses an interest rate of 4%. How much mone
irinina [24]

Answer:

the answer is $1920

Step-by-step explanation:

4% of $2000 is $80 so if they take 4% its just $2000 - $80 = $1920

Hope this helped! <3

3 0
3 years ago
Solve for x. 4 x plus 1 equals 9 A. -2 B. 2 C. 3 D. -3
NeX [460]

Answer: C

Step-by-step explanation:

4x + 1 = 9

4x + 1 -1 = 9-1

4x=8

8/4=2

6 0
3 years ago
Read 2 more answers
About 1.2 million people live in a region with a 6-mile radius what is the population destiny in people per square mile
Paladinen [302]

Answer:

10616 people per square mile

Step-by-step explanation:

No. of people living in the region = 1.2 million

Radius of the area = 6 mile

Since radius of region is given, area of can be calculated by using formula to get area of circle which is \pi r^2 where r is radius of circle.

the value of pie is 3.14 which will be used in the calculation

Area of region

\pi r^2    \\=> 3.14 * 6^2\\=> 113.04

population density of any place is calculated by dividing the total population of region with area of the region

mathematically it can be written as

population density of any place = the total population of region / area of the region

substituting the value of  total population of region with 1.2 million and  area of the region as calculated 113.04 square mile we have

population density of any place = 1.2 million/113.04 square mile

 = 0.0106157113 million / square mile

Since one million is equal to 1,000,000

0.0106157113 million will be equal to 0.0106157113 * 1,000,000

= 10615.7113

rounding 10615.7113 nearest to unit value, it will be 10616.

Therefore, population density is 10616 people per square mile.

3 0
3 years ago
A chemical refinery needs a vat. They want the vat to be a rectangular prism (with square bases) that has a maximum volume of 1,
Alex17521 [72]

Answer:

For least material to be used lengths of square base and sides = 10 units.

Step-by-step explanation:

Let the lengths of the square base and the sides = x feet, x feet and y feet

Area of the square base = x² feet

Volume of the rectangular prism = Area of the square base × Height

                                                      = x²y cubic feet

1000 = x²y

y = \frac{1000}{x^2} -------(1)

Material used in the prism = Surface area of the rectangular prism

                                            = 2(lb + bh + hl)

Here, h =  height of the prism

l = length of the base

w = Width of the base

Material to be used (S) = 2(xy + x² + xy) - Area of lid

                                  S = 2(x² + 2xy) - x²

                                  S = x² + 2xy

Now by substituting the value of y from equation (1),

S = x² + 2x(\frac{1000}{x^{2} })

  = x² + \frac{2000}{x}

For least amount of material used,

We will find the derivative of the given function and equate it to zero.

S' = 2x - \frac{2000}{x^{2} }

2x - \frac{2000}{x^{2} } = 0

2x³ = 2000

x³ = 1000

x = 10 feet

From equation (1),

y = \frac{1000}{(10)^2}

y = 10 feet

Therefore, for least amount of the material used lengths of square base and sides will be 10 feet.

7 0
3 years ago
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