The square of the sum of 7 times xand 3 divided by 4 time the difference of x and 1

Can somebody please help me with this problem please

Furkat [3]

Answer:

m = 3, n = 4

Step-by-step explanation:

Solve using the substitution process. First, start with the second equation:

2m + 2n = 14

Simplify. Divide 2 from all terms within the equation. What you do to one side, you do to the other:

(2m + 2n)/2 = (14)/2

m + n = 7

Isolate the variable m. Subtract n from both sides:

m + n (-n) = 7 (-n)

m = 7 - n

Plug in 7 - n for m in the first equation:

-5m + 9n = 21

-5(7 - n) + 9n = 21

Solve. First, distribute -5 to all terms within the parenthesis:

(-35 + 5n) + 9n = 21

Simplify. Combine like terms:

-35 + (5n + 9n) = 21

-35 + 14n = 21

Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 35 to both sides:

14n - 35 (+35) = 21 (+35)

14n = 21 + 35

14n = 56

Isolate the variable n. Divide 14 from both sides:

(14n)/14 = (56)/14

n = 56/14

n = 4

Plug in 4 to n in one of the equations, and solve for m.

2m + 2n = 14

2m + 2(4) = 14

2m + 8 = 14

Isolate the variable, m. Do the opposite of PEMDAS. First, subtract 8 from both sides:

2m + 8 (-8) = 14 (-8)

2m = 14 - 8

2m = 6

Divide 2 from both sides:

(2m)/2 = (6)/2

m = 6/2

m = 3

Your answers: m = 3, n = 4

~

6 0

3 years ago

Read 2 more answers

Spotlight Dance increased the number of dancers on its competition team. Last

Nana76 [90]

Answer:

80%

Step-by-step explanation:

To find percentage increase, we use the following formula:

Percentage Increase = $\frac{New-Old}{Old}*100$

Here

New means the latest value (which is 18 dancers)

Old means the previous value (which is 10 dancers)

The Multiplication by 100 is to convert the decimal answer to percentage.

So, we have:

New = 18

Old = 10

Now we substitute and find:

$\frac{New-Old}{Old}*100\\\frac{18-10}{10}*100\\\frac{8}{10}*100\\80$

So, there was an increase of 80%

3 0

3 years ago

A high school band director has 120 students in his marching band. The marching band plays at all football games, so the band mu

STatiana [176]

Divide 120 by 2 or divide 120 by 60

3 0

3 years ago

Read 2 more answers

The area of a rectangular dining room is 16 square meters. The perimeter is 16 meters. What are the dimensions of the dining roo

neonofarm [45]

Answer:

4

Step-by-step explanation:

The area is 16, and you know that it's 2 sides u need to multiply

The perimeter is 16, and you know that you need to add up all the sides

So....

A = b * h

A = 4 * 4

A = 16 CORRECT

And....

P = S + S + S + S ( s = sides)

P = 4 + 4 + 4 + 4

P = 16 CORRECT

Hope this helped!

Have a supercalifragilisticexpialidocious day!

6 0

3 years ago

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 17

yawa3891 [41]

--------------------------------------------------------
Equation Given
--------------------------------------------------------
x² + 2x = 17

--------------------------------------------------------
Add the constant to make it perfect square
--------------------------------------------------------
x² + 2x + (2/2)² - ²(2/2)² = 17

--------------------------------------------------------
Evaluate the brackets
--------------------------------------------------------
x² + 2x + (1)² - ²(1)² = 17

--------------------------------------------------------
Form the perfect square
--------------------------------------------------------
(x + 1)² - 1 = 17

--------------------------------------------------------
Add 1 to both sides
--------------------------------------------------------
(x + 1)² = 17 + 1
(x + 1)² = 18

--------------------------------------------------------
Square root both sides
--------------------------------------------------------
√(x + 1)² = $\pm$ √18

--------------------------------------------------------
Solve for x
--------------------------------------------------------
x = 4.24 - 1 or - 4.24 -1

x = 3.24 or - 5.24 (nearest hundredth)

--------------------------------------------------------
Answer: x = x = 3.24 or - 5.24
--------------------------------------------------------

7 0

3 years ago