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alisha [4.7K]
3 years ago
11

class="latex-formula">
Mathematics
1 answer:
Ksju [112]3 years ago
3 0

Answer:

\frac{5}{12}

Step-by-step explanation:

The given problem is a subtraction problem between fractions. The first step in a problem like this is to convert both fractions to a common denominator. In other words, multiply both the numerator and denominator of a fraction by the same value such that the denominator of one of the fractions is the same as the other fraction. The numerator of a fraction is the value over the fraction bar, whereas the denominator is the value under it. Multiplying any fraction by a number over itself is the same as multiplying it by one, thus, the equation will remain true, and be equivalent to the original expression.

\frac{13}{12}-\frac{2}{3}

Convert to a common denominator,

\frac{13}{12}-(\frac{2}{3}*\frac{4}{4})

\frac{13}{12}-\frac{8}{12}

Now perform the subtraction, subtract one numerator from the other, remember, do no perfrom any more operations with the denominators,

\frac{5}{12}

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Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form
raketka [301]

Answer:

y-3= 2(x-1)

Step-by-step explanation:

1. The equation of a line in point slope form is y-y1= m(x-x1)

2. m=slope and (x1,y1) is the point the line passes through

3. The point the line passes through is (1,3)

4, The slope is 2

5. Therefore the answer is y-3=2(x-1)

3 0
3 years ago
Read 2 more answers
Calculate the average rate of change over the interval 2
Morgarella [4.7K]

Answer:

Average rate of change over the interval 2<= x <= 5:

y = 3x + 5:        3

y = 3x^2 + 1:     21

y = 3^x:             78

<u />

Step-by-step explanation:

2<= x <= 5

Average rate of change over the interval 2<= x <= 5:

<u>y = 3x + 5</u>

y(5) = 3(5) + 5 = 20

y(2) = 3(2) + 5 = 11

Average rate of change = (20 - 11)/(5-2) = 9/3 = <u>3</u>

<u />

<u>y = 3x^2 + 1</u>

y(5) = 3(5^2) + 1 = 75 + 1 = 76

y(2) = 3(2^2) + 1= 13

Average rate of change = (76 - 13)/(5-2) = 63/3 = <u>21</u>

<u />

<u>y = 3^x</u>

y(5) = 3^5 = 243

y(2) = 3^2 =9

Average rate of change = (243-9)/(5-2) = 234/3 =<u> 78</u>

8 0
3 years ago
What interger is equivalent to 9 1/2
photoshop1234 [79]

Answer:

None

Step-by-step explanation:

There is no integer equivalent to 91/2, integers can't have a decimal.

However, I assume you would like me to answer 9.5, even though it isn't an integer.

8 0
3 years ago
In a young woman's study group, 7 percent of the students are from the town where the young woman's school is located, 80 percen
Umnica [9.8K]

Answer: the percent of study group students from outside the state is 13%

Step-by-step explanation:

The total number of students in the young woman's study group that are from the town where the young woman's school is located is 7%

The total number of students in the young woman's study group that are from in-state (but not from the school's town) is 80%.

Since the rest are from outside the state, the percent of study group students from outside the state would be

100 - (80 + 7) = 100 - 87 = 13%

5 0
3 years ago
How many Erving of 3/4 cup of beans are in half a cup?
jenyasd209 [6]
Well a half cup is 2/4 and if the serving size is 3/4 there is only 66.66% of the serving size needed hope this helps!
7 0
3 years ago
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