Answer:
m=4
Step-by-step explanation:
−9(m+3)+14=−49
Step 1: Simplify both sides of the equation.
−9(m+3)+14=−49
(−9)(m)+(−9)(3)+14=−49(Distribute)
−9m+−27+14=−49
(−9m)+(−27+14)=−49(Combine Like Terms)
−9m+−13=−49
−9m−13=−49
Step 2: Add 13 to both sides.
−9m−13+13=−49+13
−9m=−36
Step 3: Divide both sides by -9.
−9m
−9
=
−36
−9
m=4
The fraction 7/8 x 4/5 is equivalent to 7/10 when simplified.
Given that are two fractions 7/8 and 4/5 we need to find their product.
To calculate the expression 7/8 x 4/5, you need to multiply the two fractions together.
Here's the step-by-step explanation:
Step 1: Multiply the numerators (top numbers) together:
7 x 4 = 28
Step 2: Multiply the denominators (bottom numbers) together:
8 x 5 = 40
Step 3: Write the result as a new fraction:
28/40
Step 4: Simplify the fraction (if possible) by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by the GCD:
GCD(28, 40) = 4
Divide both numerator and denominator by 4:
28 ÷ 4 = 7
40 ÷ 4 = 10
So, the final answer is 7/10.
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