9.41 inches to the nearest hundredth
By proportion it is 800 / 85
= 9.41 inches.
Answer:
(52 - 4) * (13 - 7)
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
52 minus 4 times the difference of 13 and 7.
(52 - 4) * (13 - 7)
Answer: (52 - 4) * (13 - 7)
If needed simplify
(52 - 4) * (13 - 7)
48 * 6
288
Since p is the cost of h hats, the output is the p and the input is h.
p=?h
Now we find the slope by using m=(y2-y1)/(x2-x1) and points (2,13), (4,26)
m=(26-13)/(4-2)=13/2=6.5
OR using the proportionality constant since y is a direct variation to x
K=y/x=13/2=6.5
Solution: p=6.5h
I'm not 100% sure if I'm correct cause I could have made an error but I had gotten 12% as the answer
Answer: 100mL
Step-by-step explanation:
A 15% alcohol solution contains 15mL alcohol in 100mL solution
In 400ml there will be 400mL·15/100 = 6,000mL/100 = 60mL alcohol
Let the volume of pure alcohol to be added V.
In the new solution there will be (60 + V)mL alcohol
And the total volume will be (400 + V)mL
Concentration required 32% = 0.32
Concentration = (60 + V)mL/(400 + V)mL = 0.32
60mL + VmL = 0.32(400 + V)mL
60mL + VmL = 128mL + V·*0.32mL
VmL - V·0.32mL = 128mL - 60mL = 68mL
V(1 - 0.32)mL = 68mL
V·0.68mL = 68mL
VmL = 68mL/0.68 = 100mL ► alcohol volume to be added
Answer : 100mL
Verification
New solution
There will be 400mL + 100mL = 500mL total volume
There will be 60mL alcohol + 100mL alcohol = 160mL alcohol
The concentration will be 160mL/500mL = 0.32 = 32%
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