The entire race is 1 full race.
One full race is 1.
He ran 3/8 of 1, so he ran 3/8.
He needs to run the rest of the race.
The rest is unknown, so we call it x.
When you add 3/8 to the unknown, you get the full race.
The equation is
x + 3/8 = 1
Change 1 to a denominator of 8.
x + 3/8 = 8/8
Subtract 3/8 from both sides.
x = 5/8
Answer: He still needs to run 5/8 of the race.
Consider the right triangle ABC with legs AB=4, AC=3 and hypotenuse BC=5. Angle B has
and
.
Since O lies in second quadrant
and
.
Answer: 
.
Equation: 2/5 + p = 4/5 + 3/5p
Simplify Both Sides:
p + 2/5 = 3/5p + 4/5
Subtract 3/5p from both sides:
p + 2/5 - 3/5p = 3/5p + 4/5 - 3/5p
2/5p + 2/5 = 4/5
Subtract 2/5 from both sides:
2/5p + 2/5 - 2/5 = 4/5 - 2/5
2/5p = 2/5
Multiply both sides by 5/2
(5/2) * (2/5p) = (5/2) * (2/5)
p = 1
Answer: p = 1
Hope that helps!!! (Answer: Letter Choice (A), p = 1
Answer:
c
Step-by-step explanation:
180= 45+ (5x+35)
-45 -45
135 = 5x + 35
-35 -35
100 = 5x
/5 /5
x=20
The absolute value inequality can be decomposed into two simpler ones.
x < 0
x > -8
<h3>
</h3><h3>
Which two inequalities can be used?</h3>
Here we start with the inequality:
3|x + 4| - 5 < 7
First we need to isolate the absolute value part:
3|x + 4| < 7 + 5
|x + 4| < (7 + 5)/3
|x + 4| < 12/3
|x + 4| < 4
The absolute value inequality can now be decomposed into two simpler ones:
x + 4 < 4
x + 4 > - 4
Solving both of these we get:
x < 4 - 4
x > -4 - 4
x < 0
x > -8
These are the two inequalities.
Learn more about inequalities:
brainly.com/question/24372553
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