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3 years ago

What is the most efficient first step to isolate the variable term on one side of this equation?

Mathematics

1 answer:

stich3 [128]3 years ago

3 0

Answer: subtract 5 from both sides

Explanation: get rid of the 5 before moving on to isolating the variable

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|z - 1| = 7z - 13 solve this equation and check for extraneous solutions

Tema [17]

$|z - 1| = 7z - 13$
either:
$z - 1 = 7z - 13$
and in that case:
$- 1 + 13 = 7z - z$
$12 = 6z$
$z = 12 \div 6 = 2$
or:
$z - 1 = - 7z + 13$
and in that case
$z + 7z = 13 + 1$
$8z = 14$
$z = 14 \times 8 = 1.75$
So; the answer is: either 2 or 1.75

8 0

3 years ago

Read 2 more answers

Sophie surveyed 30 random students in her school and 18 said they enjoy watching baseball. A total of 1,050 students are in the

Kitty [74]

Answer:

630 people

Step-by-step explanation:

Ratios:

$\frac{18}{30} =\frac{x}{1050} \\\\30x=18900\\x=630$

5 0

3 years ago

Multiply. Write the answer in lowest terms. <br> 5/7 x 11/7 x 5/6

marusya05 [52]

Hi

5/7 × 11/7 × 5/6 = 55/49 × 5/6 = 275/294

5/7 × 11/7 = (5×11)/(7×7) = 55/49
55/49 × 5/6 = (55×5)/(49×6) = 275/294 (irreducible)

Answer: 275/294

6 0

3 years ago

Read 2 more answers

Kara used the linear model y=45,000+ 0.05x to predict her total salary from achieving total sales of x.

hoa [83]

Answer:

45,000 is the starting salary with zero sales

.05 is the amount multiplied by the number of sales that is added to her salary

For each sale we add .05 to her salary

Step-by-step explanation:

y = 45,000 +.05x

Rewriting as

y = .05x +45,000

This is in slope intercept form ( y=mx+b) where m is the slope and b is the y intercept

.05 is the slope and 45,000 is the y intercept

45,000 is the starting salary with zero sales

.05 is the amount multiplied by the number of sales that is added to her salary

For each sale we add .05 to her salary

6 0

3 years ago

Mr. Sen wants to treat a group of friends either to the movies or to a hockey game for his birthday. Both the theater and the ho

monitta

Answer:

there's no numbers to answer this question

Step-by-step explanation:

I apologize but all the information and table is gone there is no way to answer this for you

8 0

2 years ago