Answer:
5
Step-by-step explanation:
The fractions already have a common denominator of 5
Answer:
See answers below
Step-by-step explanation:
Given the following ratios. We are to express them in their simplest forms
15:12
= 15/12
= (3*5)/(3*4)
= 3/3 * 5/4
= 5/4
b) 42:1
= 42/1
= 42
Given that 2:x :: 4:6
2/x = 4/6
Cross multiply
4x = 2*6
4x = 12
x = 12/4
x = 3
Hence the value of x is 3
Y= mx+b is the formula for writing and equation for slope.
M= slope
B= y-intercept
You replace the m and b with the info given to you in the problem.
Answer: y = -3/4x -6
Answer:
Solution:
<u>We know that:</u>
- Capacity = 2,500 gallons
- Hose = 25 gallons/minute
Solution:
- 25 gallons = 1 minute
- => 25x gallons = x minutes = 2500 gallons
- => 25x = 2500
- => x = 100 minutes
Hence, it will take 100 minutes to fill the pool.
9514 1404 393
Answer:
a) yes; 12/15/17 ~ 20/25/x; SAS
b) x = 28 1/3
Step-by-step explanation:
The left-side segments are in the ratio ...
top : bottom = 12 : 8 = 3 : 2
The right side segments are in the ratio ...
top : bottom = 15 : 10 = 3 : 2
These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.
Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:
12/15/17 ~ 20/25/x
__
The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:
x = 17/12 · 20 = 340/12
x = 28 1/3
