Answer:
$8(x + 10)
Step-by-step explanation:
The expression $8x + $80 has two terms. They are $8x and $80.
When you factor an expression, you are looking for numbers that every term in the expression can divide by (and give a whole number).
Just by looking at the terms, you see they both have $ you can factor out. They can both also be divided by 8. This is called taking out a common factor.
$8x + $80 Take out the common factor
= ($8x) / $8 + ($80) / $8
= $8(x + 10) The common factor goes outside the terms' bracket
This expression can't be factored more because there are no common factors. The binomial also doesn't have square numbers for example, which might make a case where you need to factor further with different methods.
Answer:
Step-by-step explanation:
sum of ratio=3+6=9
Jeff invest=3/9×146,000=146000/3=48666 2/3 $
Trudy invest=6/9×146,000=292,000/3=97,333 1/3 $
Answer:
WORDS: The value of x is 15.
EQUATION: x = 15
Step-by-step explanation:
1. AB is a straight line therefore angles AOF, FOG, and GOB total 180º
2. If ∠FOG = 90º, AOF + GOB = 90º by subtraction & substitution property
3. 5x - 15 + 2x = 90 (now solve) --> by substitution
4. 7x - 15 = 90 --> by C.L.T. or <u>C</u>ombine <u>L</u>ike <u>T</u>erms
5. 7x = 105 --> by C.L.T. or <u>C</u>ombine <u>L</u>ike <u>T</u>erms
6. x = 15 --> by inverse operations (division)
Hope this helps!
Answer:
c) XY > RS
= true
Step-by-step explanation:
Firstly know the meaning of each sign given
> means <u>is greater than</u>
= means <u>is equal to</u>
a)XZ > ST
XZ = 8
ST = 11 - greater
= false
b) XY = RS
Due to the angles presented, we conclude that the greater the angle, the longer the unmeasured line.
XY is longer than RS
= false
c) XY > RS
= true
d) RS > XY
RS is shorter than XY hence not greater.
= false
