PLEASE HELP ME ON THIS!!
PLEASE HELP ME ON THIS!! - 1

Answers

Answer 1
Answer:

Answer:

-6

Step-by-step explanation:

This means what value can I plug into -3x-8 so that I get output 10.

g(x)=-3x-8

g(a)=-3a-8

So we are going to solve g(a)=10 for a.

g(a)=10

-3a-8=10

Add 8 on both sides:

-3a   =18

Divide both sides by -3:

 a     =-6

Check it!

g(-6)=-3(-6)-8=18-8=10 and it's good! :)


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Pierre wants to make tables and chairs. He has a total of 220 wooden boards and 760 nails. 13T+8C≤220 represents the number of tables T and chairs C he can make with 220 wooden boards. 48T+37 C≤760 represents the number of tables and chairs he can make with 760 nails. Does Pierre have enough boards and nails to make 9 tables and 5 chairs?

Answers

Answer:

Pierre has enough boards and nails to make 9 tables and 5 chairs.

Step-by-step explanation:

13T+8C ≤ 220

Let us substitute 9 for T and 5 for C and check.

13(9) + 8(5) = 117 + 40

= 157 < 220

So, 220 wooden boards are sufficient to make 9 tables and 5 chairs.

48T+37C ≤ 760

Substitute 9 for T and 5 for C.

48(9)+37(5) = 432 + 185

= 617 < 760

So, 760 nails are sufficient to make 9 tables and 5 chairs.

Hence, Pierre has enough boards and nails to make 9 tables and 5 chairs.

Answer:

a.

Step-by-step explanation:

2 1/4 X 3 1/3

What is the answer?

Answers

Answer:

The answer to 2 1/4 X 3 1/3 is 7 1/2

The answer is 7 1/2 that is simplified

-4(n-6)=12 how do I get the answer

Answers

If you would like to solve the equation - 4 * (n - 6) = 12, you can calculate this using the following steps:

- 4 * (n - 6) = 12
- 4 * n + 4 * 6 = 12
- 4 * n = 12 - 4 * 6
- 4 * n = 12 - 24
- 4 * n = - 12      /(-4)
n = 12 / 4
n = 3

The correct result would be 3.
-4(n-6)=12
Distribute -4 to the numbers in the parentheses;
-4n+24=12
-4n=-12
n=3
Hope this helps. 

A 10-pound box of apples costs $12.50.Write the ratio of cost to number of pounds as a fraction

Answers

Answer:

\frac{\$1.25}{\text{ Pound}}

Step-by-step explanation:

We have been given that a 10-pound box of apples costs $12.50.

First of all, we will find cost of each pound of apples by dividing total cost by 10 as:

\text{Cost of each pound of apples}=\frac{\$12.50}{10\text{ Pound}}

\text{Cost of each pound of apples}=\frac{\$1.25}{\text{ Pound}}

Therefore, our required fraction would be \frac{\$1.25}{\text{ Pound}}.

Ratio: $12.50 / 10 lbs

Work (if needed in simplest form):
$12.50 / 10 lbs
12.5 / 10 = 10 / 8
10 / 8 = 5 / 4

Answer:
$5.00 : 4 lbs (whole number answer)
or
$1.25 : 1 lb (actual price per pound)

There are a total of 100 balloons. If the ratio of yellow balloons to blue balloons is 8 to 12, how many of them are yellow

Answers

If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:

(8yellow)/(20total) = (Xyellow)/(100total)

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:

(8yellow)/(20total) = (Xyellow)/(100total) \n 8yellow*100total=20total*Xyellow

Finally, solve for x:

8yellow*100total=20total*Xyellow \n 8*100=20*x \n 800=20x \n 800/20=20x/20 \n x=40yellow

If you had 100 balloons, you will have 40 yellow balloons.

Hope this helps!!

For what values of a does the equation a+x= 1+xa^2 have no solution?

Answers

Answer:

We have the equation

a+x= 1+xa^2

we leave the terms with x on the left side of the equation and the independent terms on the right side.

x-xa^2=1-a\n(1-a^2)x=1-a\n

resolving for x we have that

x=(1-a)/(1-a^2)

Since we need that the equation doesn't have solution, then it is necessary that the denominator of x be 0 and this occur when 1-a^2=0\n1=a^2\na=\pm1

Then, for a=\pm1 the equation hasn't solution