27 and 64 lmk if it’s wrong
Answer:
1 hotdog cost $2.25
1 popcorn cost $3.5
Step-by-step explanation:
Let the price of hotdog be and that of popcorn be p
For the first hour;
15p + 14h = 84 •••• (i)
for the second hour;
18p + 16h = 99 •••••(ii)
so we want to solve these two equations simultaneously
In equation 1,
14h = 84-15p
h = (84-15p)/14
Simply insert this into equation ii
18p + 16(84-15p)/14 = 99
Multiply through by 14
252p + 1344 - 240p = 1386
1386-1344 = 252p-240p
12p = 42
p = 42/12
p = $3.5
to get cost of hotdogs;
h = (84-15p)/14
Substitute p = 3.5
h = (84-52.5)/14
h = 31.5/14
h = 2.25
2x+3(6)=36
2x+18=36
subtract 18 both sides
2x=18
x=9
Answer: The height of the building is 50.75 feet.
Step-by-step explanation:
The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.
For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.
The ratio will be: 5.8ft/3.2ft = 1.8125
Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:
H/28ft = 1.8125
Now we can solve this for H.
H = 1.8125*28ft = 50.75 ft
Then the height of the building is 50.75 feet.
Answer is B
total cost = $30 + 0.5 *(miles driven)
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