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swat32
3 years ago
12

Solve the equation 1 4 (16 + 12x) = 28 by first using the distributive property. The equivalent equation is found by distributin

g the One-fourth to get . The first step is . The second step is . The answer is .
Mathematics
2 answers:
BARSIC [14]3 years ago
6 0

Answer:

8

Step-by-step explanation:

Given the equation 1/4 (16 + 12x) = 28, to solve this first we open the bracket using the distributive property. According to this property, given A, B and C then:

A(B+C ) = AB+AC

Step 1:

1/4 (16 + 12x) = 28

= 1/4(16)+1/4(12x) = 28

= 4+3x = 28

Step 2:

We move 4 to the other side to have:

3x = 28-4

3x = 24

Step 3:

Divide both sides by 3 to have,:

3x/3 = 24/3

x = 8

The answer is 8

ZanzabumX [31]3 years ago
3 0

Answer:

8

Step-by-step explanation:

e2020

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What is the quotient of -3/8 and -1/3?<br><br> A. -1 1/8 <br> B. -1/8<br> C. 1/8<br> D. 1 1/8
Free_Kalibri [48]

Answer: A

Step-by-step explanation: if i recall, for the second Number, when flipping the number the sign flips to. If it's not A, it's D

-3/8 × 3/1 = -9/8= 1 1 / 8

3 0
3 years ago
Evaluate the equation 4K-10/k=8
solong [7]

Answer:

k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)

Step-by-step explanation:

Solve for k over the real numbers:

4 k - 10/k = 8

Bring 4 k - 10/k together using the common denominator k:

(2 (2 k^2 - 5))/k = 8

Multiply both sides by k:

2 (2 k^2 - 5) = 8 k

Expand out terms of the left hand side:

4 k^2 - 10 = 8 k

Subtract 8 k from both sides:

4 k^2 - 8 k - 10 = 0

Divide both sides by 4:

k^2 - 2 k - 5/2 = 0

Add 5/2 to both sides:

k^2 - 2 k = 5/2

Add 1 to both sides:

k^2 - 2 k + 1 = 7/2

Write the left hand side as a square:

(k - 1)^2 = 7/2

Take the square root of both sides:

k - 1 = sqrt(7/2) or k - 1 = -sqrt(7/2)

Add 1 to both sides:

k = 1 + sqrt(7/2) or k - 1 = -sqrt(7/2)

Add 1 to both sides:

Answer: k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)

4 0
3 years ago
Solve the system of equations. 4x + 2y = –14 6x + 3y = –22 (0, –7), (–1, –6), no solutions, infinitely many solutions. Plz and T
Marizza181 [45]

Answer:

no solutions

Step-by-step explanation:

4x + 2y = –14

6x + 3y = –22

Divide the first equation by 2 and the second equation by 3

4x/2 + 2y/2 = –14/2     2x +y = -7

6x/3 + 3y/3 = –22/3    2x + y = -22/3

The left hand sides are the same but the right hand sides are different.

Multiply the second equation by -1

2x+y = -7

-2x -y = 22/3

-------------------

0 = -7+22/3

0 = 1/3

This is never true, so there are no solutions

6 0
3 years ago
Read 2 more answers
What is (0.3)(0.5)? Show your reasoning.
loris [4]

Answer:

0.15

Step-by-step explanation:

0.3*0.5=

3*5=15

15/100=0.15

(brackets mean multiply)

5 0
3 years ago
PLS SOMEONE HELP QUICK
alexdok [17]

Answer:

THE PICTURE IS TO SMALL

Step-by-step explanation:

!!!!!!!!

5 0
3 years ago
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