Answer:
67
Step-by-step explanation:
3^7 = 2187
6^6 = 46656
46656+2187=48843
Prime factors of 48843: 3, 3, 3, 3, 3, 3, 67
Factor tree:
48843
| \
16281 3
| \
5427 3
| \
1809 3
| \
603 3
| \
201 3
| \
67 3
Answer:
=
Step-by-step explanation:
8.5 is also 8 and 1/2, it just has negative signs infront
Given:
Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.
There are 150 tiles in the mosaic.
To find:
The area of the mosaic.
Solution:
We know that, the area of a triangle is:

So, the area of Each right triangular tile is:



There are 150 tiles in the mosaic. So, the area of the mosaic is:


Therefore, the total area of the mosaic is 2340 cm ².
Answer:
The answer is below
Step-by-step explanation:
The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 85% pure fruit juice?
Answer: Let x be the number of pints of the first fruit juice (i.e 65%) and y be the number of pints of the second fruit juice (i.e 90%).
Since the total number of pints to make the 85% pure fruit juice is 80, it can be represented using the equation:
x + y = 80 . . . 1)
Also, x pints of the first juice = 0.65x, y pints of the second juice = 0.9y and 80 pints of the mixture to be produced = 80(0.85) = 68. Therefore:
0.65x + 0.9y = 68 . . . 2)
We have to solve equation 1 and 2 simultaneously, first multiply equation 1 by 0.65 to get equation 3:
0.65x + 0.65y = 52 . . . 3)
Subtract equation 3 from 2 and solve for y:
0.25y = 16
y = 16/0.25 = 64
y = 64 pints
Put y = 64 in equation 1:
x + 64 = 80
x = 80 - 64 = 16
x = 16 pints
Therefore 16 pints of the 65% pure fruit juice, and 64 pints of the 90% pure fruit juice is required to make 80 pints of 80% fruit juice.
Hello,
<span>to find the percent of a number what we have to do is to multiply the number by de percent that we want to know and divide by 100, so:
</span>
Answer: 118% of 19 is 22.42