Answer:
Step-by-step explanation:
<u>Statements </u> <u> Reasons</u>
1) QS =42 Given
2) QR + RS = QS Segment Addition Postulate
3) (x + 3) + 2x = 42 Substitution Property
4) 3x + 3 = 42 Simplify
5) 3x = 39 Subtraction Property of Equality
6) x=13 Division Property of Equality
Explanation:
We have given QS=42. We have to prove that x=13
We will use Segment Addition Postulate which states that given 2 points Q and S, a third point R lies on the line segment QS if and only if the distances between the points satisfy the equation QR + RS = QS.
Then we will substitute the values in the defined postulate.
where QR= x+3
RS=2x
QS=42
QR+RS=QS
(x+3)+2x= 42
Now simplify the expression by opening the brackets.
x+3+2x=42
3x+3=42
Now subtract 3 from both sides.
3x+3-3=42-3
3x=39
divide both sides by 3.
3x/3 =39/3
x=13..
Answer:
150 students.
No
.20
3/10
Step-by-step explanation:
What you do for the first one is you take 1,500 and times it by 90%. You will get 1,350. You will then take the 1350 and minus it from 1500 to get 150 students.
The next one says that he drilled a hole that is 5/9 inches wide. He has a drill bit that is 5/6. Will the drill bit be big enough. No because 5/9 is .556 and 5/6 is .833.
For the next one all they want you to do is look at the fruit percentage and put it into a decimal which is .20.
The next one they want the fraction that represents 30% which is 3/10.
Answer:
StartFraction x over 7.5 EndFraction = StartFraction 12 over 1 EndFraction
Step-by-step explanation:
Here, in this question, given that Rosa earns $12 in an hour, she earns x dollars in 7.5 hours. So we are interested in finding the value of x.
Let’s write this in terms of proportion;
$12 = 1 hour
$x = 7.5 hours
$12 * 7.5 hours = $x * 1 hour
So this can be rewritten as;
$x/7.5 = $12/1 hour
I believe the answer would be B, since both situations give you 6 chances at drawing/rolling the right number/marble.
Answer:
the last one : 8/4 < 5/2
Step-by-step explanation:
