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Daniel [21]
3 years ago
12

What is the quotient of

0" id="TexFormula1" title="2 \frac{2}{7} \div \frac{4}{7} " alt="2 \frac{2}{7} \div \frac{4}{7} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
balandron [24]3 years ago
4 0

2 \frac{2}{7} ÷ \frac{4}{7}

First, let's turn the first fraction into an improper fraction.

\frac{16}{7} ÷ \frac{4}{7}

Since both of these fractions share the same denominator, we can drop the denominator and simply divide the numerators.

16 ÷ 4 = 4

The quotient = 4

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The number of rainbow smelt in Lake Michigan had an average rate of change of −19.76 per year between 1990 and 2000. The bloater
mojhsa [17]
Let x =  number of years between 1990 and  2000.

Rainbow smelt:
Initial population = 227
Average yearly rate of change = -19.76
The linear function that models the population is
y₁ = 227 - 19.76x

Bloater fish
Initial population = 1052
Average yearly rate of change = -92.57
The linear function that models the population is
y₂ = 1052 - 92.57x

When the two populations are equal, then y₁ = y₂.
That is
227 - 19.76x = 1052 - 92.57x
(92.57 - 19.76)x = 1052 - 227
72.81x = 825
x = 11.33 years
   = 11 years, 0.33*12 months
   = 11 years, 4 months
Add x to 1990 to obtain the year April 2011.

Answer:
x = 11.33 years.
This occurs in April 2001.
5 0
3 years ago
Read 2 more answers
What is the slope of the way y-3=-4(x-5)
mash [69]
The answer to the question is y=-4x+23
5 0
3 years ago
Solve the whole problem i give brainliest please help me.
suter [353]

Answer:

The inequality for this is 12.5x + 55 ≥ 160

and the amount of visits they need for free movie tickets is 8 visits

Step-by-step explanation:

if you subtract both sides by 55, you'll get

12.5x ≥ 105

and if you divide both sides by 12.5, you'll get 8.4, or 8

6 0
3 years ago
The area of the entire figure below is 111 square unit.
Ivahew [28]

The striped rectangle has a total area of 69,375 cm².

<h3>How to calculate the area of the striped rectangle?</h3>

To find the area of the striped rectangle we must carry out the following procedures.

Find the area of each segment of the rectangle, that is, what is the area of each of the 24 squares that make up the rectangle, for that we divide the 111cm² of the total area into 24.

  • 111cm² ÷ 24 = 4.625cm²

According to the above, we infer that each square has an area of 4.625cm².

On the other hand, to find the area of the striped rectangle we must take into account that it is 5 squares long by 3 squares high, that is, its area is 15 squares.

  • 3 × 5 = 15

Finally, each square has an area of 4.625cm², so to find the total area of the striped area we must multiply the area of each square by the number of squares.

15 × 4.625cm² = 69.375cm²

Learn more about areas in: brainly.com/question/27683633

#SPJ1

7 0
2 years ago
A pitcher of punch holds 2 gallons if 9 people share the entire pitcher how much do that get a peice
kirza4 [7]
To find how much each person will get, you have to divide the amount available by the people. There are 2 ways I believe we can do this.
First way
Let's divide.
2÷9= 2/9

Each person would get 2/9 of a gallon if they shared it.

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Second way
I believe it would be easier to convert this into cups. There are 16 cups per gallon.
16×2= 32
Let's divide that by 9.
32÷9= 3 5/9 cups per person.
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Each person would receive 2/9 of a gallon.
8 0
3 years ago
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