Your numbers are 11 and 32
We know that:
a + b = 44
and
a = 3b
If we substitute “3b” in for a in the first equation, we get a numerical value for b
3b + b = 44
4b = 44
b = 11
Then we substitute the numerical value of b to solve for a:
a = 3b
a = 3(11) = 33
Answer:
4 parts
Step-by-step explanation:
If the total number of parts is 12 and you want to reduce the dish to two-thirds its current size, the number of parts that will be reduced is (1 - 2/3) = 1/3
To reduce 1/3 of the 12 parts, you need to multiply 12 by 1/3 to know how many parts is that:
12 * 1/3 = 12/3 = 4
You need to subtract 4 parts. If you have 4 ingredients, you can remove 1 part of each, so each ingredient now will have 2 parts.
0.3 inches per hour, if I did the math correctly.
Answer:
Step-by-step explanation:
Suppose the dimensions of the playground are x and y.
The total amount of the fence used is given and it is 780 ft. In terms of x and y this would be 3x+2y=780 (we add 3x because we want it to be cut in the middle). Therefore, y= 780/2-3/2x. Now, the total area (A )to be fenced is
A=x*y= x*(390-3/2x)=-3/2 x^2+390x
Calculating the derivative of A and setting it equals to 0 to find the maximum
A'= -3x+390=0
This yields x=130.
Therefore y=780/2-3/2*130=195
Thus, the maximum area is 130*195=25,350ft^2
Answer:
The Discount Percent is 57.50% and the Discount Amount is $31.05
Step-by-step explanation:
To find the discount percent you use the formula D = (L - S) / L x 100. To find the discount amount you take the <u>inital list price</u> and subtract it from the <u>sale price</u>.
