Answer:
Bill's bar has 57.3 grams of cocoa.
Step-by-step explanation:
The math part that your question is asking is: What is 69% of 83?
In order to use the percent 69% in a calculation, you need to change it to a decimal.
69% is 0.69
You move the decimal to the left, two places.
69% is 69.% If you don't see a decimal to start with and it is a whole number, then the decimal is starting on the right.
Move it two places to the left, you get
.69
Now MULTIPLY.
.69 × 83
= 57.27
ROUND your answer to the nearest tenth. That means only one digit to the right of the decimal.
57.27 rounds to 57.3
Bill's bar has 57.3 grams of cocoa.
Answer:
5.83 = CD
Step-by-step explanation:
We can use the pythagorean theorem to solve
The legs are the x and y distances
x = (1- -4) = 5 units and y = 3 units
a^2+ b^2 = c^2
5^2 + 3^2 = c^2
25+9 = c^2
34 = c^2
Taking the square root of each side
sqrt(34) = c which is the distance from C to D
5.830951895 = CD
5.83 = CD
Answer:
200π
Step-by-step explanation:
Surface area of a cone = πr(r+l)
r is the radius
l is the slant height
Volume of the cone = 1/3πr²h
320π = 1/3πr²h
320 = 1/3r²(15)
320 = 5r²
r² = 320/5
r² = 64
r = 8
l² = 15² + 8²
l² = 225 + 64
l² = 289
l = 17
Get the surface area;
S = πr(r+l)
S = π8(8+17)
S = π*8*25
S = 200π
Hence the surface area of the cone is 200π
1. We assume, that the number 320 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 320 is 100%, so we can write it down as 320=100%. </span>
<span>4. We know, that x is 45% of the output value, so we can write it down as x=45%. </span>
5. Now we have two simple equations:
1) 320=100%
2) x=45%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
320/x=100%/45%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 45% of 320
320/x=100/45
<span>(320/x)*x=(100/45)*x - </span>we multiply both sides of the equation by x
<span>320=2.22222222222*x - </span>we divide both sides of the equation by (2.22222222222) to get x
<span>320/2.22222222222=x </span>
<span>144=x </span>
x=144
<span>now we have: </span>
<span>45% of 320=144</span>
Answer:
Paula = 4 hours
Roberto = 12 hours
Step-by-step explanation:
Time taken by Paula = x
Time taken by Roberto = x +. 8
Paula's rate = 1/x
Roberto's rate = 1/(x + 8)
Combined rate = 1/3
Time it takes each if them working alone ;
Paula's rate + Roberto's rate = combined rate
1 /x + 1 / (x +8) = 1/3
Take the L. C. M
((x+8) + x) / x(x+8) = 1/3
(2x + 8) / x(x + 8) = 1/3
3(2x + 8) = x(x + 8)
6x + 24 = x² + 8x
x² + 8x - 6x - 24 = 0
x² + 2x - 24 = 0
Solving the quadratic equation :
x² + 6x - 4x - 24 = 0
x(x + 6) - 4(x + 6) = 0
(x - 4) = 0 or (x + 6) = 0
x = 4 or x = - 6
Time taken cannot be negative
Hence, x = 4
Hence, working alone, it takes ;
Time taken by Paula = 4
Time taken by Roberto = 4 + 8 = 12
