Answer:
adults=31, children = 108
Step-by-step explanation:
a + c = 139 equation 1
10a + 8c = 1174 equation 2
a=139-c isolate a from equation 1
10(139-c) + 8c = 1174 substitute a value into equation 2
1390-10c + 8c = 1174
-2c = -216
c = 108
use value of c in either equation to find value of a
a + c = 139
a + 108 =139
a = 31
Answer:
$35.7
Step-by-step explanation:
you can convert 15% to a decimal by dividing by 100.
15/100 = .15
if you multiply the decimal by the cost of the shirt you get how much the discount is.
0.15 * $42 = 6.30
so a 15% discount on a $42 shirt is $6.30 off. So you subtract the discount from the total cost.
$42 - $6.30 = $35.70 that is the sale price of the shirt.
Answer:
10 lb of cashews and 70 lb of peanuts
Step-by-step explanation:
Let x = the pounds of cashews.
Then 80 – x = the pounds of peanuts
Value of cashews + value of peanuts = volume of mixture
x×4.75 + (80 – x)×2.75 = 80×3 Remove parentheses
4.75x + 220 - 2.75x = 240 Combine like terms
2.00x + 220 = 240 Subtract 220 from each side
2.00x = 20 Divide each side by 2.00
x = 10 lb
80 - x = 80 – 10
80 - x = 70 lb
Max will mix 10 lb of cashews with 70 lb of peanuts.
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<em>Check:
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10×4.75 + 70×2.75 = 80×3.00
47.50 + 192.50 = 240.00
240.00 = 240.00
Answer:
any sides can be the side set for a triangle