Answer:
Step-by-step explanation:
Answer:
The amount of mango juice needed is 8 quarts
Step-by-step explanation:
To calculate the amount of mango juice needed, we will need to know the amount used the previous week.
Cranberry juice to Mango juice is 3:2 with cranberry used being 4 quarts. Let the quarts of Mango juice used be x
This means;
3/2 = 4/x
1.5 = 4/x
1.5x = 4
x = 4/1.5 quarts
Since they are making 3 times as much punch, the amount of mango juice needed will be 4/1.5 * 3 = 4 * 2 = 8 quarts
Answer:
3 inches
Step-by-step explanation:
Lenght = 18 inches
Width =15 inches
Perimeter of the rectangular painting and frame = 90 inches
Let X be the width of the frame
The width of the framed picture = 15 + 2x
The length of the framed picture = 18 + 2x
Perimeter = 2 (L + W)
90 = 2(15 + 2x + 18+ 2x)
90 = 2(33 + 4x)
90 = 66 + 8x
8x = 90 - 66
8x = 24
x = 24/8
x = 3 inches
the width of the frame is 3 inches
The logarithm of 10 to base 10 is 1
<h3>How to determine the logarithm?</h3>
The given parameters are:
Base = 10
Number = 10
So, the expression is:

As a general rule;

The above means that;
When the base and the number are the same, the logarithm is 1
So, we have:

Hence, the logarithmic value is 1
Read more about logarithm at:
brainly.com/question/20785664
#SPJ1
Answer:
640.5 cm^2
Step-by-step explanation:
So the formula for trapezoid is height times the average of the bases. So 25+36=61, and then we divide that by 2 to get 30.5 as our average. Then, we take 30.5 and multiply it by 21 and we get 640.5.