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3 years ago

5

Solve the equation below, then check your answer by seeing if LS = RS. Show your work!

1 answer:

Allushta [10]3 years ago

7 0

Answer:

$m = 4$

Step-by-step explanation:

$6m + 7 = 31 \\ 6m + 7 - 7 = 31 - 7 \\ 6m = 24 \\ \frac{6m}{6} = \frac{24}{6} \\ m = 4$

check

$6m + 7 = 31 \: \: \: \: \: m = 4 \\ 6(4) + 7 = 31 \\ 24 + 7 = 31 \\ 31 = 31$

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What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the la

olga55 [171]

Let's say the first number is "a"
the next consecutive can just be "a+1" and the next, you guessed it, "a+2"
the two smaller ones are a and a+1, the larger one is a+2

now, the product of "a" and "a+1" equals 5 times "a+2" but less by 5

thus a(a + 1) = 5(a + 2) - 5 <----- solve for "a"

7 0

3 years ago

Simplify the complex fraction: 4/(x+3)/(1/x+3)

sertanlavr [38]

Answer:

4

Step-by-step explanation:

To simplify

$\frac{4}{x+3}$ ÷ $\frac{1}{x+3}$

Change division to multiplication and turn the second fraction upside down, that is

$\frac{4}{x+3}$ × $\frac{x+3}{1}$

Cancel the factor (x + 3) on the numerator/ denominator , leaving

$\frac{4}{1}$ = 4

7 0

3 years ago

Read 2 more answers

He has a record contract that Pays him a base rate of $200 a month and then additional $12 for each album that he sells. Last mo

slavikrds [6]

Answer:

He sold a total of 37 albums last month.

Step-by-step explanation:

Given,

Total earned money = $644

Base payment = $200

Additional payment for each album = $12

We have to find the number of albums sold by him.

Solution,

Let the number of albums be 'a'.

Total earned money is the sum of base payment and additional payment for each album multiplied with number of albums sold.

So framing in equation form, we get;

$644=200+12a$

Subtracting both side by '200' using subtraction property, we get;

$200+12a-200=644-200\\\\12a=444$

Now dividing both side by '12' using division property, we get;

$\frac{12a}{12}=\frac{444}{12}\\\\a=37$

Hence he sold a total of 37 albums last month.

3 0

4 years ago

Find the next term of the sequence.<br> 24, 17, 10, 3, ...<br><br> -7 <br> 0<br> -4<br> -5

kvv77 [185]

Answer:

Already answered but oh well

It's -4

5 0

3 years ago

Is this question correct?

Andrews [41]

Answer:

10^20

3^11

3^24

10^12

Step-by-step explanation:

(10^2)^10=10^2*10=10^20

3^3*3^8=3^3+8=3^11

(3^3)^8=3^3*8=3^24

10^2*10^10=10^2+10=10^12

6 0

3 years ago