X=pounds of Type A coffee
y=pounds of Type B coffee
QUANTITY EQUATION:
x+y=178
COST EQUATION:
$5.45x + $4.20y=$870.10
STEP 1:
Solve for one variable in equation one. Then substitute it in equation two.
x+y=178
subtract y from both sides of the equation
x=178-y
STEP 2:
substitute x=178-y in equation two
5.45x + 4.20y=870.10
5.45(178-y) + 4.20y=870.10
multiply 5.45 by everything in parentheses
(5.45*178)+(5.45*-y)+4.20y=870.10
970.10-5.45y+4.20y=870.10
combine like terms
970.10-1.25y=870.10
subtract 970.10 from both sides
-1.25y=-100
divide both sides by -1.25
y=80 pounds of type B coffee
STEP 3:
Substitute y=80 in either equation to solve for x
x+y=178
x+80=178
subtract 80 from both sides
x=98 pounds of type A coffee
ANSWER:
x=98 pounds of type A coffee
y= 80 pounds of type B coffee
CHECK:
Substitute answers for x & y into either equation to be sure it checks.
5.45x+4.20y=870.10
5.45(98)+4.20(80)=870.10
534.10+336=870.10
870.10=870.10
Hope this helps! :)
Answer: 10.9
Step-by-step explanation:
You would use Pythagorean theorem:
5x5+12x12=c
5x5=25
12x12=144
Now, 25+144=169
Now find the square root of 169 which is 13 which isn't an answer choice, which means your prolly after a leg.
I assume 12 is the hypotenuse
A(squared)+5x5=12x12
A+25=144
144-25=119
Square root of 119=10.9
So I'm going to go with answer 10 in or 11 if you round.
Answer:
B
Step-by-step explanation:
Glad to help you ;)
If you have any questions about the way I solved it, don't hesitate to ask
Answer:
1500 square feet
Step-by-step explanation:
2 gallons of paint can cover 600 square feet
the ratio is 2:600 if you simplify you will get 1:300
We need to find how much we can cover with 5 gallons so just times each side of the ratio by 5 after simplifying.
Hope this helps
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