All categories

2 years ago

What is the answer to 5(n-7)=2(n+14) work

Mathematics

2 answers:

aivan3 [116]2 years ago

7 0

Answer:

The answer is n=21.

Step-by-step explanation:

To solve the equation for (n), start by using the distributive property on both sides of the equation. The distributive property is multiplying the sum of two or more addends by a number which will give the same result as multiplying each addend individually by the number and then adding the products together.

The equation will look like $5n-35=2n+28$ after using the distributive property. Next, add 35 to both sides of the equation, which will look like $5n=2n+63$ , and then subtract (2n) from both sides of the equation, which will look like $3n=63$ . The next step is to simplify the equation, which will look like $n=21$ , and the final answer to the equation will be $n=21$ .

pickupchik [31]2 years ago

5 0

Answer:

n = 21

Step-by-step explanation:

5(n-7)=2(n+14)

Distribute

5n -35 = 2n+28

Subtract 2n from each side

5n-2n -35 = 2n-2n +28

3n-35 =28

Add 35 to each side

3n-35+35 = 28+35

3n = 63

Divide by 3

3n/3 = 63/3

n =21

You might be interested in

Find the 12th term of the arithmetic sequence given a3=116 and a7=180<br>

SOVA2 [1]

Answer:

Step-by-step explanation:

nth term = a +(n-1)d

a3 = 116 ; a + 2d = 116 ---------(i)

a7 = 180; a + 6d = 180 -------(ii)

multiply (ii) by -1. so a will be eliminated

a + 2d = 116 ---------(i)

(ii)*-1 <u>-a - 6d = -180</u> -------(ii) { Now add the two equations}

- 4d = -64

d = -64/-4

d = 16

Plug in the value of d in equation (i),

a + 2*16 = 116

a + 32 = 116

a = 116 - 32

a = 84

12th term = 84 + 11* 16 = 84 + 176 = 260

5 0

3 years ago

Find the minimum, maximum, and range for the given set of data.

serg [7]

The answer is option C

7 0

2 years ago

Read 2 more answers

Triangle A’ B’ C’ is the image of triangle A B C under a rotation about the origin, (0,0)

S_A_V [24]

Answer:

The triangle A B C will be the image of triangle of A B C in origin (0,0)

8 0

2 years ago

What is 9%+278.045 or 278.045+9%

rodikova [14]

The answer to this equation would be 278.135

3 0

3 years ago

A corporate bond has a coupon rate of 5.5 percent, a $1,000 face value, and matures three years from today. The corporation is i

melomori [17]

Answer:

$= \frac{\frac{75}{100}\times 1000 + \frac{25}{100} \times \frac{60}{100}\times 1000 }{(1+\frac{15}{100})^3 }$

$=\frac{0.75\times 1000 + 0.25\times 0.60 \times 1000}{(1+0.15)^3}$

$=\frac{750+0.25\times 0.60\times 1000}{1.15^3} \\\\=\frac{750+150}{1.520875} =\frac{900}{1.520875} \\\\=591.76$

Step-by-step explanation:

= (probability of entire face value paid*face value+probability of entire face value not paid*percent of face value paid*face value)/(1+discount rate)^years to maturity

probability of entire face value paid = 75%

face value = 1000

probability of entire face value not paid = 25%

percent of face value paid= 60%

discount rate = 15%

years to maturity = 3

$= \frac{\frac{75}{100}\times 1000 + \frac{25}{100} \times \frac{60}{100}\times 1000 }{(1+\frac{15}{100})^3 }$

$=\frac{0.75\times 1000 + 0.25\times 0.60 \times 1000}{(1+0.15)^3}$

$=\frac{750+0.25\times 0.60\times 1000}{1.15^3} \\\\=\frac{750+150}{1.520875} =\frac{900}{1.520875} \\\\=591.76$

6 0

2 years ago