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skelet666 [1.2K]

3 years ago

9

Gwendolyn has already read 130 pages of her 400-page summer reading book. If she reads at an average rate of 45 pages per hour,

long will she need to finish the book? Write and solve an equation to find the answer. Show your work.

1 answer:

ArbitrLikvidat [17]3 years ago

5 0

400-130=270
270/45=6
6 hours

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Wren and Jenni are reading the same book. Wren is on page 12 and reads 4 pages every night. Jenni is on page 4 and reads 5 pages

sergejj [24]

Night 1-
Wren 12
Jenni 4
Night 2-
Wren 16
Jenni 9
Night 3-
Wren 20
Jenni 14
Night 4-
Wren 24
Jenni 19
Night 5-
Wren 28
Jenni 24
Night 6-
Wren 32
Jenni 29
Night 7-
Wren 36
Jenni 34
Night 8-
Wren 40
Jenni 39
Night 9-
Wren 44
Jenni 44
It would be 9 nights.
Graph using (x) and (y), Wren being (x) and Jenni being (y)

3 0

3 years ago

1. Find the product. Simplify. 13/14 of 10/9. A. 15/42 B. 5/21 C. 2/7 D. 5/6 2. Andy has 5 pots, and each pot can hold 3/8 pound

Rufina [12.5K]

1) Resultant fraction: $\frac{65}{63}$

2) Total soil: $1\frac{7}{8}$ pounds

3) Result of the product: $\frac{35}{2}$

Step-by-step explanation:

1)

In this problem, we want to find the product between the two fractions

$\frac{13}{14}$

and

$\frac{10}{9}$

In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:

$\frac{13}{14}\cdot \frac{10}{9}=\frac{13\cdot 10}{14\cdot 9}=\frac{130}{126}$

Now we simplify, dividing both numerator and denominator by 2:

$\frac{130/2}{126/2}=\frac{65}{63}$

And the fraction cannot be further simplified.

2)

Here we have:

n = 5 (number of pots that Andy has)

$s=\frac{3}{8}$ (amount of soil (in pounds) that each pot can contain)

In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).

If we do so, we find:

$t=n \cdot s = 5 \cdot \frac{3}{8}=\frac{5\cdot 3}{8}=\frac{15}{8}$

Which can be rewritten as a mixed fraction as:

$\frac{15}{8}=\frac{8+7}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}$

3)

Here we want to find the result of the following product:

$4\frac{2}{3}\cdot 3\frac{3}{4}$

In order to do so, we first have to rewrite each fraction as an improper fraction.

For the 1st fraction:

$4\frac{2}{3}=\frac{4\cdot 3+2}{3}=\frac{12+2}{3}=\frac{14}{3}$

For the 2nd fraction:

$3\frac{3}{4}=\frac{3\cdot 4+3}{4}=\frac{12+3}{4}=\frac{15}{4}$

Now we can finally find the product of the two fractions:

$\frac{14}{3}\cdot \frac{15}{4}=\frac{14\cdot 15}{3\cdot 4}=\frac{210}{12}=\frac{35}{2}$

Where in the last step, we divide both the numerator and the denominator by 6.

Learn more about fractions:

brainly.com/question/605571

brainly.com/question/1312102

#LearnwithBrainly

6 0

3 years ago

Show the working for <br><br> 3y^2 x 2y^5 x 5y^4 over 6y^3 x 4y^4

solong [7]

Answer:

please I can't do it I have not been thought

6 0

3 years ago

How to find the point that is equidistant from (5,-5) and (1,1)

torisob [31]

<h3>Answer: (3, -2)</h3>

Explanation:

Your teacher wants you to find the midpoint. This is the point that is in the middle of the two given points. Let's call this M. So the distance from M to (5,-5) will be the same as the distance from M to (1,1)

The x coordinates of (5,-5) and (1,1) are 5 and 1 respectively.

Add them up: 5+1 = 6

Divide by two: 6/2 = 3

The x coordinate of the midpoint is x = 3

Repeat for the y values -5 and 1

Add: -5+1 = -4

Divide in half: -4/2 = -2

The y coordinate of the midpoint is y = -2

So the midpoint is M = (x,y) = (3,-2)

If you were to use the distance formula, you would find that

distance from (5,-5) to (3,-2) = distance from (3,-2) to (1,1)

This is what it means to be "equidistant" (aka "equally distant")

7 0

3 years ago

The Math Club is raising money so they can attend a local competition next month. They have already raised $125 and they are sel

prisoha [69]

Answer: 100 candy bars

Step-by-step explanation:

You did not include the question but judging by the progression I can assume that the question is along the lines of how many candy bars they will need to sell to reach their target.

You did not include the amount they have to raise as well so let us assume that number is $375.

Assuming they have to raise $375 and they have already raised $125, the amount left to be raised is:

= 375 - 125

= $250

With each candy bar selling at $2.50, the number of candy bars they will need to sell is:

= 250/ 2.50

= 100 candy bars

<em>You should use this process to find the answer to your question. </em>

3 0

3 years ago