Answer:
y =2
Step-by-step explanation:
Inverse variation is of the form
xy = k
3*6 = k
18 = k
xy = 18
Now when x = 9, find y
9*y = 18
Divide by 9
y = 18/9
y =2
When x =9, y =2
Answer:
157.5 miles with 6 gallons
Step-by-step explanation:
105miles / 4gallons = 26.25miles per gallon
26.25miles per gallon * 6miles = 157.5 miles
Answer:
∠B
∠Y
Step-by-step explanation:
we know that
In the right triangle ABC
----> opposite side to angle B divided by the adjacent side to angle B
substitute the values
Remember that
If two triangles are similar, then the corresponding sides are proportional and the corresponding angles are congruent
so
∠A=∠W
∠B=∠Y
∠C=∠Z
therefore
Answer:
<em>1:4</em>
Step-by-step explanation:
<u>Ratios and Fractions</u>
It's given 1/5 of the chocolates in a box contain nuts. The rest do not contain nuts. The portion that does not contain nuts is:
We need to calculate the ratio of the number of chocolates that contain nuts to the number of chocolates that do not contain nuts.
This can be done by dividing 1/5 by 4/5:
Operating:
Expressing it as a ratio: 1:4
Varies directly means
if y varies directly as x that means
y=kx where k is a constant
so
y=kx
y=2 and 2/3 when y=1/4 then find k
convert 2 and 2/3 to imporoper fraction for ease
2 and 2/3=6/3+2/3=8/3
8/3=k(1/4)
multiply both sides by 4/1 to clear fraction
32/3=k
so now we have
y=(32/3)x
when x=1 and 1/8
find y
convert 1 and 1/8 to imporopor=9/8
y=(32/3)(9/8)
y=(288)/(24)
y=12