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3 years ago

5

Need help please and show work

1 answer:

Aloiza [94]3 years ago

7 0

3z + 6
3z and 6 has greatest common factor, that is 3. Divide 3z and 6 by the greatest common factor (3).
3z ÷ 3 = z
6 ÷ 3 = 2

So, we could work on the expression as following.
3z + 6
= 3 × z + 3 × 2

From the expression above, we should separate 3 from z and 2 by a parenthesis to make distributive property.
3 × z + 3 × 2
= 3(z + 2)

SUMMARY
3z + 6
= 3 × z + 3 × 2
= 3(z + 2)

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For the<br> expression y + 6-3 determine the coefficient for the variable term.<br> (2 points)

aksik [14]

Answer:

The answer is 1.

Step-by-step explanation:

The number is usually in front of the variable, if there is no number, it is a 1.

6 0

3 years ago

the three cubes shown weigh 12 ounces how many pounds would 24 cubes weigh A. 4.5 lb B. 6lb C. 18lb D. 72lb

ANEK [815]

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3 years ago

Given points A (1, 2/3), B (x, -4/5), and C (-1/2, 4) determine the value of x such that all three points are collinear

AlladinOne [14]

Answer:

$x=\frac{83}{50}$

Step-by-step explanation:

we know that

If the three points are collinear

then

$m_A_B=m_A_C$

we have

A (1, 2/3), B (x, -4/5), and C (-1/2, 4)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope AB

we have

$A(1,\frac{2}{3}),B(x,-\frac{4}{5})$

substitute in the formula

$m_A_B=\frac{-\frac{4}{5}-\frac{2}{3}}{x-1}$

$m_A_B=\frac{\frac{-12-10}{15}}{x-1}$

$m_A_B=-\frac{22}{15(x-1)}$

step 2

Find the slope AC

we have

$A(1,\frac{2}{3}),C(-\frac{1}{2},4)$

substitute in the formula

$m_A_C=\frac{4-\frac{2}{3}}{-\frac{1}{2}-1}$

$m_A_C=\frac{\frac{10}{3}}{-\frac{3}{2}}$

$m_A_C=-\frac{20}{9}$

step 3

Equate the slopes

$m_A_B=m_A_C$

$-\frac{22}{15(x-1)}=-\frac{20}{9}$

solve for x

$15(x-1)20=22(9)$

$300x-300=198$

$300x=198+300$

$300x=498$

$x=\frac{498}{300}$

simplify

$x=\frac{83}{50}$

8 0

4 years ago

Please help it OVER DUE

kotykmax [81]

You know the total amount, 32.00, and the cost of each gallon, 1.60, so you can make an equation using x as the amount of gallons bought.

1.60x = 32.00

Now just divide 32.00 by 1.60

x= 32.00/1.60

x= 20

5 0

4 years ago

A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the sa

d1i1m1o1n [39]

Answer: Option 'c' is correct.

Step-by-step explanation:

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Average number of arrivals = 6 per hour

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Service rate is given by

$\mu=\dfrac{60\times 3}{15}=12$

So, the average number of customers in the system is given by

$\dfrac{\mu}{\mu-\lambda}\\\\=\dfrac{6}{12-6}\\\\=\dfrac{6}{6}\\\\=1$

Hence, Option 'c' is correct.

8 0

3 years ago