Factor out the coefficient of the variable. 1/3y-3/2

Answer:

[tex]\frac{1}{3} \left(y-\frac{9}{2} \right)\\[/tex]

Step-by-step explanation:

Remeber that factoring is the same thing as applying the distributive property in reverse. Take the example 3(y + 4). To distribute, we multiply each term by the factor 3 to get the expression 3y + 12. To factor out the 3, we do the opposite, dividing the 3y and the 12 by 3, and pulling the 3 out front to again get 3(y + 4).

Here, we'd like to factor out 1/3 from the expression [tex]\frac{1}{3}y-\frac{3}{2}[/tex]. Dividing each term by 1/3 (the same thing as multiplying each term by 3), we get the expression [tex]y-\frac{9}{2}[/tex]. Remember though, the 1/3 never went away, we just pulled it out of the expression, so our full answer is

[tex]\frac{1}{3} \left(y-\frac{9}{2} \right)\\[/tex]

Determine if the work for the problem below is correct. Correct any errors and explain your thinking.

help ?//////////////

which expressions are a sum of two terms? selcet all the correct answers

The distance between Oakdale and Pine City is 200 mi. If a train is traveling at a constant rate of 50 mph, how long will it take for the train to travel from Oakdale to Pine City?

A. 4 hr.
B. 6 hr.
C. 10 hr.
D. 20 hr.

Of the 480 visitors on Saturday, 60% of them stayed until the park closed. About how many visitors stayed until the park closed?

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Which of the following statements describes the process for solving -3x ≥ 18?

Divide both sides of the inequality by 18 and flip the symbol.
Divide both sides of the inequality by -3 and don't flip the symbol.
Divide both sides of the inequality by -3 and flip the symbol.
Divide both sides of the inequality by 18 and don't flip the symbol.

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When Bonita started driving at 4:00 P.M., the temperature was 12°F. When she arrived at home at 10:00 P.M., the temperature was -5°F. What was the change in temperatures from 4:00 P.M. to 10:00 P.M.?

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Two members of a band want to get word out about their next gig. Jack's plan is that he can pass out 100 fliers a day. Meg has a different strategy. She wants to tell each of her friends about the performance on the first day, and ask each of her 10 friends to each tell a friend on the second day, and then everyone who has heard about the concert would tell a friend on the third day, and so on. Meg's idea can be modeled with the function M(t)=10(2)^2-1, where t is the number of days.

Which plan would work out better in 7 days? What about 5, 8, 9, and 300 days?

Which one is the correct answer? And please show me the work you did

Joanna is driving 185 miles to visit her family. She drives 68 miles in the morning, stops for lunch, and then drives the rest of the distance. How many miles did she drive after lunch?

Use the variable m to represent the number of miles she drove after lunch.

Which equation represents this situation and its solution?


A. m + 68 = 185; m = 117

B. 185m = 68; m = 17

C. 68m = 185; m = 17

D. m + 185 = 68; m = 117

Need help will try to give as much points

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A. 1 hr.
B. 2 hr.
C. 3 hr.
D. 4 hr.

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A) 1

B) 2

C) 3

D) 4

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60 POINTS AND BRAINLY

Select the correct answer from the drop-down menu.
The value from the set {10, 11, 12, 13} that makes the equation 2(x − 5) = 12 true is (blank).

Find the value of x in the figure
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An electronics company refurbishes ink-jet printers.
The table shows the revenue produced for the number of units sold.



How much revenue will be produced for 45 units?


a-$20,000
b-$2,000
c-$15,500
d-$1,550

Jamal owns a parking garage and is trying to find the relationship between hour of the day and number of cars in the garage. He finds that between 4 am and 10 am he can model this with a linear relationship. The equation for this model is y = 3.96x + 2. How many cars were in the garage at 4 am.

A) 1

B) 2

C) 3

D) 4

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