A punch contains 60% of grape juice and the rest is lemon - lime soda ( 2 liters).
Part A:
An equation is:
0.6 x + 2 = x,
where x stays for the liters of punch.
Part B:
x - 0.6 x = 2
0.4 x = 2
x = 2 : 0.4
x = 5 liters
Grape juice = 5 - 2 = 3 liters.
Answer: There are 3 liters of grape juice in the punch.
8 + 5i. I just added the expression normally.
Answer:
The equation is <u>sale price</u>=p and the original price is $41.09.
.70
Step-by-step explanation:
sale price= (1-.30)p
<u>sale price=.70</u>p
.70 .70
<u>sale price</u>=p
.70
<u>28.76</u>=p
.70
$41.09=p
the height of the house is .
<u>Step-by-step explanation:</u>
Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find What is the height of the house . Let's find out:
Let y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.
Distance of house from point A( initial point ) = x ft
Distance of house from point B( when she traveled 200 ft towards street = x-200 ft
Now , According to question these scenarios are of right angle triangle as
At point A
⇒
⇒
⇒ ..................(1)
Also , At point B
⇒
⇒ ..............(2)
Equating both equations:
⇒
⇒
⇒
⇒
Putting in we get:
⇒
⇒
⇒
Therefore , the height of the house is .
Answer:
x = 7
Step-by-step explanation:
There is a total of 180 degrees in a triangle. To solve you add the other angles and set = to 180 then solve for x
180 = 33 + 90 + 7x +8
172 = 33 + 90 + 7x
139 = 90 +7x
49 = 7x
7 = x