Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories. 1. if she eats 2 servings of granola, how many
2 answers:
Answer:
If she eat 2 servings of granola she will eat 700 calories.
She needs to eat half of the granola if she wants to eat 175 calories.
The required equation is
Step-by-step explanation:
Consider the provided information.
Elena knows that 5 servings of granola have 1,750 calories.
That can be represents as:
5 servings = 1,750 calories
Divide both the sides by 5.
5/5 servings = 1,750/5 calories
1 servings = 350 calories
1. if she eats 2 servings of granola, how many calories does she eat.
Multiply both the sides by 2.
1×2 servings = 350×2 calories
2 servings = 700 calories
If she eat 2 servings of granola she will eat 700 calories.
2. if she wants to eat 175 calories of granola how many servings should she eat.
5 servings of granola have 1,750 calories.
5 servings = 1,750 calories
Divide both the sides by 10.
1/2 servings = 1,75 calories
Hence, she needs to eat half of the granola if she wants to eat 175 calories.
3. write an equation to represent the relationship between the number of calories and the number of servings of granola.
Let x is the number of calories and y is the number of servings.
So the we can find the relationship by using: 1 servings = 350 calories
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A) Answer: A. 22.5 cm, 30 cm, and 37.5 cm
Setting the unity measurement as x, the three sides will be 3·x, 4·x, and 5·x. The sum of the three sides will be (3 + 4 + 5)·x = 12·x; this corresponds to the perimeter, therefore:
12·x = 90 cm
We can solve for x:
x = 90 / 12 = 7.5 cm
Hence, the sides will be:
7.5 · 3 = 22.5 cm
7.5 · 4 = 30 cm
7.5 · 5 = 37.5 cm
This situation is represented in option A (which is also the only option whose sides add up to 90).
B) Answer: C. never true
We have:
6 + 8x - 9 = 11x + 14 - 3x
Bring all the terms with x on the left, by subtracting from both sides 11x and -3x, and all the numbers on the right by subtrcting from both sides 6 and -9:
6 + 8x - 9 - 11x - (-3x) - 6 - (-9) = 11x + 14 - 3x - 11x - (-3x) - 6 - (-9)
Cancel out the opposite terms from each side:
8x - 11x + 3x = 14 - 6 + 9
Combine likely terms:
0x = 17
Now you should ask yourself: what number multiplied by zero gives 17 as a result? The answer is none because a number multiplied by zero always equals zero.
Hence, the statement is never true.
C) Answer:
We have:
5r + 4 ≤ 5
Subtract 4 from both sides:
5r + 4 - 4 ≤ 5 - 4
Combine likely terms:
5r ≤ 1
Divide both sides by 5:
To graph the set of solutions, you need to set:
y₁ = 5x + 4 and
y₂ = +5
Plot these two lines:
y₂ is a horizontal line at a height of 5;
y₁ is a line passing through (0, 4) and (1, 9)
The set of solutions will be the part of the graph in which y₁ lies underneath y₂ (see picture attached), that happens for .
