Final Answer: 
Steps/Reasons/Explanation:
Question: Which expression is equivalent to 
<u>Step 1</u>: Expand by distributing terms.
×
× 
<u>Step 2</u>: Simplify
×
to
.
× 
<u>Step 3</u>: Simplify
×
to
.

<u>Step 4</u>: Remove parentheses and add.

~I hope I helped you :)~
As each chair needs 12.6667 feet lumber.So 15 chairs will need 15*12.6667=190.0005 lumber
Answer:
x = - 5, x = 2
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log (
)
x = n ⇔ x = 
note that log x =
x
Given
log (x² + 3x) - log10 = 0, then
log(
) = 0, thus
=
= 1 ( multiply both sides by 10 )
x² + 3x = 10 ( subtract 10 from both sides )
x² + 3x - 10 = 0 ← in standard form
(x + 5)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 2 = 0 ⇒ x = 2
Solution is x = - 5, x = 2
Answer:
24 :))))))))))))))
Step-by-step explanation:
2/3 of 48 is 32, so 3/4 of 32 is 24.
Answer:
1. (a) a+b=86
2. (c) 5.99a+9.99b≤600
Step-by-step explanation:
1.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Gary is buying a memory sticks for each of the 86 teachers. Therefore the total sum of both 16gb and 32gb memory sticks should equal 86:
a+b=86
2.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Each 16gb memory stick cost $5.99, and each 32gb one costs $9.99. Therefore...
5.99a = total cost of 16gb memory sticks
9.99b = total cost of 32gb memory sticks
Gary has to spent an amount less than or equal to $600. Therefore, the total sum of the costs of both 16gb and 32gb memory sticks should be less than or equal to 600:
5.99a+9.99b≤600