Answer:
blank 1 is answer d
blank 2 I'm not sure
blank 3 is answer c
blank 4 is answer a
Are there more options than answers a-d?
Answer:
it is 55% of 80
Step-by-step explanation:
Answer:
answer number 4 I believe
Answer:
Step-by-step explanation:
The given relations can be used to write two equations describing the coins. One equation can express the total number of coins; the other, their total value.
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<h3>setup</h3>
Let d and q represent the numbers of dimes and quarters, respectively. The the total number of coins is ...
d + q = 25
and their total value is ...
0.10d +0.25q = 5.20
<h3>solution</h3>
Using the first equation to write an expression for d, we can substitute that into the second equation.
d = 25 -q
0.10(25 -q) +0.25q = 5.20
0.15q = 2.70 . . . . . . . . . collect terms, subtract 2.50
q = 18 . . . . . . . . . . . divide by 0.15
d = 25 -q = 7
You have 18 quarters and 7 dimes.
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<em>Additional comment</em>
It is generally convenient to solve for the number of the higher-value coin. That way, the numbers in the equations stay positive, tending to reduce errors.
X= # of residents
y= # of non residents
QUANITY EQUATION
x+y= 58
COST EQUATION
$13.00x + $17.50y= $925.00
SOLVE FOR 1 VARIABLE
x+y= 58
subtract y from both sides
x= 58-y
SUBSTITUTE IN 2nd EQUATION
$13.00x + $17.50= $925.00
13(58-y) + 17.50y= 925.00
multiply 13 by all in parentheses
(13*58)+(13*-y)+17.50y= 925.00
754-13y+17.50y= 925.00
combine like terms
754+4.50y= 925.00
subtract both sides by 754
4.50y= 171
divide both sides by 4.50
y= 38 number of non residents
SUBSTITUTE TO FIND X
x+y= 58
x+38= 58
x= 20 number of residents
ANSWER: 20 residents and 38 non residents attended.
CHECK:
$13.00(20) + $17.50(38)= $925.00
260 + 665= 925
925 = 925
Hope this helps! :)
