Andre received $60 for his birthday and put it in his piggy bank. Each week, he puts 3 more dollars in his bank. The amount of money in dollars D in his bank is given by D = 3w + 60, where w is the number of weeks he has saved 3 dollars. His sister Lana makes a table of reasonable values for w. Lana selects 12 as a value for w. What is the corresponding table entry for D?


A.
372


B.
96


C.
75


D.
64

Answers

Answer 1
Answer:

96 → B

substitute w = 12 into the equation D = 3w + 60

D = (3 × 12 ) + 60 = 36 + 60 = 96



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-2(a-8)+6a=36
what's the value of a
A=

Answers

Distribute -1 into the brackets.
-2(a - 8) + 6a = 36
-2a + 16 + 6a = 36
Take 16 to the other side
-2a + 6a + 16 = 36
               - 16   -16
-2a + 6a = 36 - 16
Combine like terms
4a = 20
Divide by 4 on either sides to isolate a
(4a)/(4) = (20)/(4)
4 and 4 cancels out.
a = 5

Factoring trinomials word problems.

Answers

So see if u can factor out the trinomial.
it's factorable.
(x+3)(×-2)

so divide that factors by (×-2)

(×-2)(×+3)
---------
(×-2)

the (×-2) cancel out, leaving x+3

What is the value of the expression below?

|-12|

Answers

Answer:

the absolute value is 12

Step-by-step explanation:

the absolute value is 12 since that is the distance from 0.

Answer:

12

Step-by-step explanation:

The absolute value is the distance of a number to zero, which is always a positive number. |-12| is 12 units away from zero and therefore, the answer is 12.

Choose the value for which 2/a+8 is undefined

Answers

If the value is:

\sf{(2)/(a+8)}

Then it will be undefined when the denominator is equal to 0.

So set the denominator equal to 0

a + 8 = 0
a = -8

So when 

\huge{\boxed{\bf{a=-8}}}

then the value will be undefined.

Just a note:

\sf{(x)/(0)=} undefined

\sf{(0)/(x)=0}

Work the following pricing problems for services rendered. (Round to tenths.)Labor rate = $8.00 per hour
Labor time = 6 hours
Retail price of parts = $0
Total job cost = $86.00
Overhead rate?

Answers

Answer:

Overhead rate = $6.3

Step-by-step explanation:

Given : Labor rate = $8.00 per hour


Labor time = 6 hours


Retail price of parts = $0


Total job cost = $86.00

To find : Overhead rate

Solution:

Overhead cost =  Total Cost - The cost of all inputs

The Overhead Rate is this number divided by total labor hours.

Total job cost = $86.00

Labor Cost = labor rate × labor time = 8 × 6 = $48

Retail price of parts:$0

Overhead Costs = total cost - labor cost= $86 - $48 = $38

Now, we divided overhead cost by labor hours to get overhead rate,

Overhead Rate =(38)/(6)=6.33

Therefore, Overhead rate is $6.3



Answer:

55.8

Step-by-step explanation:

8x6= 48

48/86 into percent= 55.814%

therefore it would be rounded to 55.8

Use the rules of exponents to evaluate or simplify. Write without negative exponents.(-243)^3/5

Answers

Answer:

-27

Step-by-step explanation:

(-243)^3/5


We know that a^b^c = a^ (b*c)

(-243) ^ 1/5 ^3


We know (-243) ^ 1/5 = -3

(-3) ^3 = -27

Answer:

-27

(-243)^3/5

(-243)^1/5^3

-3^3=-27