Answer:
27 miles in the morning and 85 miles in the afternoon.
Explanation:
Let m be the number of miles they rode in the morning. They rode 4 more than 3 times this many in the afternoon; this gives us the expression
3m+4
to represent the miles ridden in the afternoon.
Together they rode 112 miles; this means we add the morning miles, m, to the afternoon miles, 3m+4, and get 112:
m+3m+4 = 112
Combine like terms:
4m+4 = 112
Subtract 4 from each side:
4m+4-4= 112-4
4m = 108
Divide both sides by 4:
4m/4 = 108/4
m = 27
They rode 27 miles in the morning.
That means in the afternoon, they rode
3m+4 = 3(27)+4 = 81+4 = 85 miles.
-2(x + 3) = 8
Multiply -2 with x and 3
-2x -6 = 8
Now add 6 to both sides
-2x -6 = 8
+6 +8
-2x = 16
Lastly divide -2 from both sides to find x
-2x = 16
—— —-
-2x -2x
X = -8
Answer:
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Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Hello!
In the Pythagorean theorem, the summation of the square of the legs in a right triangle is equal to the square of the hypotenuse.
Let a and b be the legs, and c is the hypotenuse.
a² + b² = c²
In this equation, the hypotenuse is 30, and the measure of one leg is 24.
We can solve this by plugging in the values.
- a² + b² = c²
- 24² + b² = 30²
- 576 + b² = 900
- 324 = b²
- b = 18
So the missing side length is 18.
Answer:
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