Answer:
-6.20x-6.20y=-948.6
add this to equation 2
6.20x-6.20x +9.30y-6.20y=1125.30-948.60
3.10y= 176.70
/3.10
y=176.70/3.10
y = 57 number of adult tickets
153-57=96 child tickets
Step-by-step explanation:
child admission is $6.20 : x numbers
adult admission is $9.30 : y numbers
153 tickets were sold
sales of $1125.30 .
x+y = 153.........................1
6.20x+9.30y= 1125.30..............2
In a triangle all of the angles always add up to 180, so let's set up an equation.
79 + 37 + y = 180
Simplify
116 + y = 180
Subtract 116 from both sides.
y = 64
The value of y is 64.
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Answer:
k = 9.6
Step-by-step explanation:
When dealing with inverse variation, the two variables vary in opposite directions. This means that as the first variable increases, second variable decreases and as the first variable reduces,the second variable increases.
Y varies inversely with x.
So as y increases, x reduces and as y reduces, x increases.
We would proceed by introducing a constant of variation, k
y = k/x
From the information given,
The constant of variation = k
The value if x = 6.4
The value of y = 1.5
To find the value of k
y = k/x
k = yx = 1.5 × 6.4
k = 9.6
Answer:
13,415 miles
Step-by-step explanation:
Final position - initial position = Miles traveled:
23,840 miles - 10,425 miles = 13,415 miles
60% or 3/5 of the tank will be filled in an hour.
The pump will fill 2/5 of the tank in 2/3 hours.
In order to find out how much of the tank will be filled in an hour, use direct proportion and assume portion of the tank that will be filled up in an hour is x.
<em>2/5 of tank : 2/3 hours </em>
<em>x of tank : 1 hour </em>
Cross multiply to get:
2/3x = 2/5
x = 2/5 ÷ 2/3
x = 2/5 x 3/2
= 0.6 of the tank
= 60%
= 3/5 of tank
In conclusion, 60% of the tank will be filled in an hour.
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