Hello there!
4 pencils . 4/9 of an hour = 4/9 of 60 minutes = 4/9 * 60 = 80/3 minutes
x pencils = ? . one hour = 60 minutes14 * 60 = 80/3 * x /*3
14 * 60 * 3 = 80 * x
80 * x = 2520 /80
x = 2520 / 80
x = 31.5 pencilsThe result would be 32 pencils in one hour.
Hope I helped!
In order to figure out whether Luis or Isabella skates farther to get to school, we have to create a common denominator between the two fractions that represent the distance that each person walks.
The least common denominator of 3 and 4 is 12. This means that we have to change both fractions into equal fractions with denominators of 12.
To figure this out, we must set up a proportion.
2/3 = x/12
To solve this proportion, we must cross-multiply the fractions. We get:
24 = 3x
If we divide both sides by the coefficient of x which is 3, to get the variable x alone, we get:
x = 8
Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.
If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.
Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school. Because they have the same denominator, we can just compare the numerators. We know that 8 is greater than 6, thus Luis skates farther to get to school.
<em>Note: It seems you may have unintentionally missed adding the answer choices. Thus, I am solving your question in general to give you the idea of how the percentage works, which anyways would solve your query.</em>
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Answer:
Please check the explanation.
Step-by-step explanation:
Given that we have to determine the expressions which are equivalent to 20 percent of 150.
First, we need to determine what actually 20 percent of 150 really brings.
i.e
20% of 150 = 20/100 × 150
= 30
Thus,
20% of 150 = 30
Therefore, any expression that is equivalent to 30 will be included in the answer to this question.
Since these are supplementary angles (two angles which sum to 180°) we can say:
4x+x=180 combine like terms on left side
5x=180 divide both sides by 5
x=36°
This is an awful question. They mean to say the number of hours practicing <em>per week</em> (we'll call it h) varies inversely with the <em>time</em> (t) she runs her event. Unless they mean to imply more practicing makes Tyler slower, in which case she should just get a pizza.
Inverse variation means the product is a constant, we'll call it k.
ht = k
When h = 1 hour t=6 minutes
(1)(6) = k
k = 6 (hour*minutes, but as long as we're consistent we don't need to sweat the unit.)
Decreasing her time by one minute means t = 6 - 1 = 5. We solve for h.
ht = k
h = k/t = 6/5 = 1.2 hours
Answer: 1.2 hours, second choice
