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3 years ago

Help me with this please

Mathematics

1 answer:

ElenaW [278]3 years ago

5 0

The greatest common factor is 2z^3.

In order to find the greatest common factor, always start with the coefficient of the lowest term. Let's see what the factors of 14 are.

Factors of 10: 1, 2, 5, 10

Now we look to see which are also factors of the next highest number.

Factors of 14: 1, 2, 7, 14

Only 1 and 2 are similar factors. Since 2 is also a factor of 70, 2 in the coefficient of our greatest common factor.

Next we look for the term with the least number of z's. 14z^3 is the least number of z's. This means we can take out z^3. Giving us the final answer of 2z^3.

You might be interested in

A survey was done where males and females were asked if they would prefer to eat chicken or steak. The results of the survey are

alexgriva [62]

Answer:

Step-by-step explanation:

Number of tickets for international flights = 36

Total number of tickets = 95

The probability that a randomly selected airline ticket is for an international flight = 36 / 95 = 0.3789

The probability that a randomly selected airline ticket is for an international flight as a percent rounded to the nearest tenth of a percent = 0.3789 x 100 = 37.9%

% of males surveyed = 0.236 + 0.218 = 0.454 = 45.4%

% of males surveyed who prefer chicken = 0.236 out of 0.454 = 0.236 / 0.454 = 0.5198 = 51.58% = 52.0%

<em>hope this helps~</em>

6 0

3 years ago

Read 2 more answers

Solve each inequality, and then drag the correct solution graph to the inequality.

Nesterboy [21]

The correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

$4(9x-18)>3(8x+12)$

First, clear the brackets,

$36x-72>24x+36$

Then, collect like terms

$36x-24x>36+72\\12x >108$

Now divide both sides by 12

$\frac{12x}{12} > \frac{108}{12}$

∴ $x > 9$

For the second inequality

$-\frac{1}{3}(12x+6) \geq -2x +14$

First, clear the fraction by multiplying both sides by 3

$3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)$

$-1(12x+6) \geq -6x +42$

Now, open the bracket

$-12x-6 \geq -6x +42$

Collect like terms

$-6 -42\geq -6x +12x$

$-48\geq 6x$

Divide both sides by 6

$\frac{-48}{6} \geq \frac{6x}{6}$

$-8\geq x$

∴ $x\leq -8$

For the third inequality,

$1.6(x+8)\geq 38.4$

First, clear the brackets

$1.6x + 12.8\geq 38.4$

Collect likes terms

$1.6x \geq 38.4-12.8$

$1.6x \geq 25.6$

Divide both sides by 1.6

$\frac{1.6x}{1.6}\geq \frac{25.6}{1.6}$

∴ $x \geq 16$

Let the graphs be A, B and C from left to right

The first graph (A) shows $x\leq -8$ and this matches the 2nd inequality

The second graph (B) shows $x \geq 16$ and this matches the 3rd inequality

The third graph (C) shows $x > 9$ and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

Learn more here: brainly.com/question/17448505

8 0

3 years ago

A soup kitchen makes 15 gallons of soup each day a quarter of the soup is served and the rest is saved for the next day , what i

Sophie [7]

Number of ounces left is 1120

Step-by-step explanation:

Step 1: Find number of ounces left after each day.

Given total soup prepared each day = 15 gallons

Amount served each day = 1/4 of 15 = 15/4 gallons

Amount left after each day = 15 - 15/4 = 60 - 15/4 = 35/4 gallons

Step 2: Convert gallons into ounces. 1 gallon = 128 ounces

35/4 gallons = 35/4 × 128 = 1120 ounces

5 0

3 years ago

What is the answer to -11(3.2)(.12(-12))

Ilia_Sergeevich [38]

The answer is 50.668

5 0

3 years ago

Read 2 more answers

Need help asap!!! plzz

Natali5045456 [20]

Answer:

(C)$62.00

Step-by-step explanation:

$200 x .31 = $62.00

6 0

3 years ago

Read 2 more answers