Answer:
20% alcohol = 1 gal
10% alcohol = 9 gal
Step-by-step explanation:
Let
x = 20% alcohol
y = 10% alcohol
x + y = 10 (1)
0.20x + 0.10y = 10*0.11
0.20x + 0.10y = 1.1 (2)
From (1)
x = 10 - y
Substitute x = 10 - y into (2)
0.20x + 0.10y = 1.1
0.20(10 - y) + 0.10y = 1.1
2 - 0.20y + 0.10y = 1.1
- 0.20y + 0.10y = 1.1 - 2
-0.10y = -0.9
y = -0.9/-0.10
y = 9 gal
substitute y = 9 into (1)
x + y = 10
x + 9 = 10
x = 10 - 9
x = 1 gal
20% alcohol = 1 gal
10% alcohol = 9 gal
The coordinates of the pre-image of point F' is (-2, 4)
<h3>How to determine the coordinates of the pre-image of point F'?</h3>
On the given graph, the location of point F' is given as:
F' = (4, -2)
The rule of reflection is given as
Reflection across line y = x
Mathematically, this is represented as
(x, y) = (y, x)
So, we have
F = (-2, 4)
Hence, the coordinates of the pre-image of point F' is (-2, 4)
Read more about transformation at:
brainly.com/question/4289712
#SPJ1
Answer:
- C. Her sister grew about 0.75 inch each month.
Step-by-step explanation:
Given function:
The function is linear and it represents:
- y - current heigt of baby
- x - number of months passed
- 0.75 - the slope is the monthly growth rate
- 15 - the y-intercept, is the initial height of baby
According the above explanation the correct answer choice is C
Answer:
The winner completed the race in 96 hours and 52 minutes.
Step-by-step explanation:
Given:
Distance of the cycling race = 2292 miles
Average speed of the winner = 
We need to find time required by winner to complete the race.
Solution:
Now we know that;
Time required can be calculated by dividing Total Distance from the Average speed.
framing in equation form we get;
time required by winner to complete the race = 
Now converting 
into minutes we get;
Hence the winner completed the race in 96 hours and 52 minutes.
Answer: 25
explanation:
7² + 24² = c²
49 + 576 = c²
625 = c²
c = √625
c= 25
or just know some pythagorean triples
