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____ [38]
3 years ago
11

Solve and check the following equation. 8d + 21 = 12d + 5 d =

Mathematics
1 answer:
olganol [36]3 years ago
3 0

Subtract 8d from both sides

21 = 12d + 5 - 8d

Simplify 12d + 5 - 8d to 4d + 5

21 = 4d + 5

Subtract 5 from both sides

21 - 5 = 4d

Simplify 21 - 5 to 16

16 = 4d

Divide both side by 4

16/4 = d

Simplify 16/4 to 4

4 = d

Switch sides

d = 4

<u>Check answer</u>

8d + 21 =12d + 5

Let d = 4

8 × 4 + 21 = 12 × 4 + 5

Simplify 8 × 4 to 32

32 + 21 = 12 × 4 + 5

Simplify 12 × 4 to 48

32 + 21 = 48 + 5

Simplify 32 + 21 to 53

53 = 48 + 5

Simplify 48 + 5 to 53

53 = 53

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The answer would be 150 ≤ 100 + 3x

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The LCD for the fraction 1/3 , 3/4 , 5/32 , and 8/9 Is?
RSB [31]
The answer would be a. 288. hope that helped
3 0
3 years ago
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Find two consecutive integers whose product is 5 less than the square of the smaller number
S_A_V [24]
<span>
The product of -5 and -4 is 20
The square of the smaller number, -5, is 25.
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3 0
3 years ago
You have to fill in the blank for this one 4/9 divided by blank equals 12
photoshop1234 [79]

For this case, the first thing we must do is define a variable.

We have then:

x: unknown number

We now write the expression that models the problem:

\frac{\frac{4}{9}}{x} = 12

From here, we clear the value of x.

We have then:

\frac{4}{9}=12x

\frac{4}{9(12)}=x

x=\frac{4}{108}

x=\frac{1}{27}

Answer:

4/9 divided by 1/27 equals 12

6 0
3 years ago
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Gabriella plays video games from 2:49 P.M. To 3:32 P.M. Mason plays video games for 35 minutes. How many minutes longer does Gab
Mekhanik [1.2K]

Answer:

Mizuki here to help!

8 minutes longer will be the correct answer!

Step-by-step explanation:

First, let's find out how many minutes Gabriella played:

3:32 - 2:49 = 2:92 - 2:49 = 0:43

Check:

2:49 + 0:43 = 2:92 = 3:32

It's correct so...

43 - 35 = 8

Hope this helped!

3 0
3 years ago
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