Answer: a. 5/12 b. 10 hours
Step-by-step explanation:
5/8 x 2/3 = 10/24 = 5/12
she spends 5/12 of the day awake at home
if a day has 24 hours then 5/12 of that is 5/12 x 24 = 10
so she spends 10 hours awake at home
Step-by-step explanation:
measure of exterior angle = sum of 2 non adjacent angles
4X = 90 + X
3X = go
X=30
exterior angle = 30x 4 =120
Answer:
the answer of this question is = 6x + 18
Hello Alondra,
To solve this problem, you have to write a proportion using the ratios formed by the similar triangles.
Or proportion can be:
x/(x+2) = 10/15
Cross multiply to solve it:
10x + 20 = 15x
20 = 5x
4 = x
The value of x is 4.
I hope this helps,
MrEQ
Answer:
The value of the snack bar is $ 2 and that of the magazine subscription is 25 $
Step-by-step explanation:
We have a system of two equations and two unknowns, which would be the following:
let "x" be the cost of the snack bar
Let "y" be the cost of the magazine subscription
16 * x + 4 * y = 132
20 * x + 6 * y = 190 => y = (190 - 20 * x) / 6
replacing:
16 * x + 4 * (190 - 20 * x) / 6 = 132
16 * x + 126.66 - 13.33 * x = 132
2.66 * x = 132 - 126.66
x = 5.34 / 2.66
x = 2
for "y":
y = (190 - 20 * 2) / 6
y = 25
Which means that the value of the snack bar is $ 2 and that of the magazine subscription is 25 $
