bellamore
Middle SchoolMathematics 5+3 pts
x (.60) + 60 (.15) = (x+60) .50
distribute
.60x +9 = .5x +30
subtract .5x from each side
.1x +9 = 30
subtract 9 from each side
.1x = 21
divide by .1
x = 210
You will need 210 gallons of 60% antifreeze
Answer:
The surface area of the net shown is: 88 
Step-by-step explanation:
Break up the different shapes in the net:
Let's take the big square first:
It has a side of 5in and a base of 4in.
We multiply both these values to get 20
Lets look at the small rectangular box now:
It has a side of 3in and a base of 4in.
We multiply both these values to get 12
There are two big squares so we add up their surface areas:
20
+ 20
= 40
There are 4 small rectangular squares so we add up their surface areas:
12
+ 12
+ 12
+ 12
= 48
Now we add up the big square and small rectangular squares values:
40
+ 48
= 88
Therefore the answer is 88
Red candle:
Initial height = 8 in
Burn rate = 710 in/h
After x hours, the height will be
h₁ = 8 - 710x
Blue candle:
Initial height = 6 in
Burn rate = 15 in/h
After x hours, the height will be
h₂ = 6 - 15x
When the two heights are equal, then
h₁ = h₂
8 - 710x = 6 - 15x
-695x = -2
x = 0.00288 hours
Answer:
The answer may take one of these forms:
0.003 hours, or
0.0029 hours, or
0.00288 hours.
Area of entire trapezoid = <span>((sum of the bases) ÷ 2) • height
Trapezoid Area = (51 / 2) * 26
</span><span>Trapezoid Area = 663
UN-shaded triangle area = .5 * base * height
</span><span>UN-shaded triangle area = .5 * 23 * 26
</span><span>UN-shaded triangle area = 299
SHADED Trapezoid Area = 663 -299
</span><span>SHADED Trapezoid Area = 364
</span>
$409.80.
The amount of net profit the store makes on each container is given by 1.67-0.83 (the amount it is sold for subtracted by the amount it costs the store), which is $0.84 per container. They sell 470 containers, so the net profit at this point is 470(0.84) = $394.80.
However, since the distributor is giving the store a $0.50 refund on all every container under 500 that the store sells, the store gets additional money back:
500-470 = 30 containers not sold
30(0.50) = 15
So the total profit is $394.80 + 15 = $409.80.