Answer:
<u>(1/14)</u>
Step-by-step explanation:
(6/7)/(12) <u>6/7 as a fraction divided by a whole of 12</u>
(6/7)/(12/1)
(6/7)*(1/12)
(1/7)*(1/2)
(1/14)
The easiest way to do this would be to imagine that Jolie has 100 marbles. If Mary has 40% fewer, that means she has 60 marbles. Then if they combine all their marbles into a single bag, they will have 160 marbles, of which 100 are Jolie's. So the % that is Jolie's is 100/160 = 0.625 = 62.5%.
Answer:
i. Term =
+ 
ii. Coefficient = 
iii. Constant = 
iv. Factor = 
Step-by-step explanation:
A trapezoid is a quadrilateral which has its base parallel to the opposite side. It's area can be determined by;
Area of trapezium =
(
+
)h
Where
is the measure of length of its fist base,
is the measure of its second base and h is its height.
Considering the given question,
Term =
+ 
Coefficient = 
Constant = 
Factor = 
Answer:
5.66 inches
Step-by-step explanation:

a² + 7² = 9²
a² + 49 = 81
a² + 49 - 49 = 81 - 49
a² = 32
a = square root of 32
a = 5.6568 or 5.66 inches
I used the Pythagorean Theorem to solve this.
Answer:
y = 60
Step-by-step explanation:
<h3>Step 1: Make sense of the given</h3>
"The ratio of y to x is 3"
This means that, 
"The sum of y and x is 80"
This means, 
<h3>Step 2: Make use of the facts</h3>
If
, then
.
We can plug this into the other equation by substitution:

This simplifies to:

Which we can solve out and get:
.
<h3>Step 3: Plug and Chug</h3>
We solved for x, but we need the value of y.
So, we go back to the equation we first derived: "
".
And now we substitute the value of x, into this.

By solving this out, we get:

So, the value of y is 60.