The sum of the two numbers is equal to 70.
- Let the first number be x.
- Let the second number be y.
In this exercise, you're required to find two numbers by translating the word problem into an algebraic expression and then solving for the unknown variables (x and y).
Translating the word problem into an algebraic expression, we have;
Two numbers differ by 8:
....equation 1.
The product of the two numbers is 713:
....equation 2.
To calculate the sum of the two numbers:
First of all, we would solve for each of the unknown variables (x and y).
From eqn. 1, we have:
....equation 3.
Substituting eqn. 3 into eqn. 2, we have:

Solving the quadratic equation by factorization, we have:

y = -23 or 31.
For the value of x, when y = 31:

x = 39
Now, we can calculate the sum of the two numbers:

Read more on word problems here: brainly.com/question/13170908
She should start consuming 2,600 calories a day. That way after she burns off her 600 calories, she is still only consuming and storing 2,000 calories.
Answer:
Angles are measure of rotation, along with its direction of rotation. The supplement angle of 77° is 103°
How to find the supplement angle of an angle?
Supplement angle of an angle is such that sum of both of them comes as 180°
Thus, if an angle is of A°, then its supplementary angle is 180° - A°
For the given case, we let the first angle be of A° = 77°, then its supplementary angle with measure B° is:
Thus, The supplement angle of 77° is 103°
Answer:
B.
Explanation:
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The Japanese invasion persuaded the Chinese Communist Party and warlords to unite with the Kuomintang (Japan, Communist).
<h3>What was the invasion of Manchuria?</h3>
The invasion of Manchuria was the Japon invasion of this region (Northeast Asia) in hands of the Kwantung Army.
During this period, the Kwantung Army controlled the Manchurian railway, which was fundamental for the economy.
In conclusion, the Japanese invasion persuaded the Chinese Communist Party and warlords to unite with the Kuomintang.
Learn more on the invasion of Manchuria here:
brainly.com/question/11981920
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