A student reads 2⁄5 of a book in 45 minutes. How much of the book will be read if the student reads at the same speed for 70 minutes? Write your answer as a fraction of a book

Answers

Answer 1

To start, determine the amount of time needed to finish the book. Do this by multiplying the amount read at 45 minutes by the total time to read the book (x) and setting it equal to the time read, 45 minutes. This gives you (2/5)x=45. Next, solve for x. (2/5)x=45, multiply both sides by 5, 2x=225, divide both sides by 2, x=225/2 minutes to read the whole book. Now, divide your new time, 70 minutes, by the total time to read a whole book. This gives you 70/(225/2), which you would multiply the top by the reciprocal of the bottom, giving you 70*(2/225), now, you multiply the numerators by each other and the denominators by eath other, getting (70*2)/(1*225)=140/225. Now, you simplify, first by dividing each by 5, 28/45, which is the most simplified it could be. This makes your answer 28/45 of the book read in 70 minutes.

Answer 2

Answer:

[tex]\frac{28}{45}[/tex] of the book student read in 70 minutes

Step-by-step explanation:

A student reads 2⁄5 of a book in 45 minutes.

In 45 minutes the student reads 2/5 of a book

In 1 minute the student reads 2/5 divide by 45

[tex]\frac{\frac{2}{5}}{45} = \frac{2}{225}[/tex]

In 1 minute the student reads [tex]\frac{2}{225}[/tex]

In 70 minutes the student reads [tex]70* \frac{2}{225}[/tex]

[tex]\frac{140}{225}[/tex]

Now simplify the fraction

divide both sides by 5

[tex]\frac{28}{45}[/tex]

Related Questions

a triangle has base 7m and area 17.5 m^2 . what is the height?

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The answer to this is 5m.

16x+5=-11 what is the solution?

Answers

16x+5=-11

Were trying to get the x alone.

First subtract 5.

16x=-16

Then divide by 16.

x=-1

16x+5=-11. you wanna get x by itself. minus 5(you wanna do the opposite sign) and minus 5 from -11.
16x=-16
x=-1

A box of cereal advertised that the new box contained 30% more cereal than the previous box. If the new box contains 26 ounces of cereal, how many ounces of cereal were in the previous box?

Answers

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Sandy works at a clothing store. She makes $7 per hour plus earns 15% commission on her sales. She worked 74 hours over the last two weeks and had a total of $1,678 in sales before taxes.

Which of the following is closest to how much she will earn in hourly wages and commission for those two weeks?

Answers

15% of $7 is $1.05
7 x 74 = 518
1678 + 518 = 2196

She will earn $2196 in those 2 weeks

Sandy's total earnings before taxes for the two weeks will be $769.70, which includes $518 from her hourly wages and $251.70 from her sales commission.

To solve how much Sandy will earn in hourly wages and commission over two weeks of work at a clothing store, where she makes $7 per hour and earns a 15% commission on her sales of $1,678, we first calculate her hourly wages: Sandy worked 74 hours, and at $7 per hour, her earnings from hours worked are 74 hours x $7/hour = $518.

Next, we calculate her commission earnings: 15% of $1,678 in sales is 0.15 x $1,678 = $251.70.

Adding both earnings gives us Sandy's total earnings before taxes, which is $518 + $251.70 = $769.70.

Rachel finished 3/4 of the race in 6 hours. How long was the entire race?

Answers

6=.75x
x= 8 hours for the whole race

3/4=0.75 in 6 hours
4/4=1.00 in ? hours

?=(6×1.00)/0.75=8 hours

Find the sum of 136 + 212. Explain why you did or did not regroup.

Answers

348 is the answer i did not regroup because the place value didn't require me to carry to the tens place

The answer for this question is 348

a certain truck carry 3450 pounds each bible weighs 3 fourths how many bibles can be carried

Answers

well really all you have to do is divide 3450/3/4= which gives a decimal so your answer is 287.5

1) make a trail mix with 5 ingredients. they should make exactly 10 cups but the

ALL THE INGREDIENTS SHOULD BE DIFFERENT MIXED NUMBERS

Answers

5 Cups
1 Cup
2 Cup
1/2 Cup
1 1/2 Cup

5+1+2+1/2+1 1/2=10

Divide decimals 1.52 / 1.9

Answers

your answer will be 0.8

the answer would be 0.8

I have 4 times as many hats as my brother. Together we have 50 hats. How many hats do we each have?

Answers

x = ur hats, y = ur brothers hats
x + y = 50
x = 4y

4y + y = 50
5y = 50
y = 50/5
y = 10 <== ur brother has 10 hats

x + y = 50
x + 10 = 50
x = 50 - 10
x = 40 <== u have 40 hats

x=your number of hats
y=number of hats bro has

x is 4 times y
x=4y
together (x+y) it is 50

x+y=50
since x=4y, replace x with fy
4y+y=50
5y=50
divide both sides by 5
y=10
x=4y
x=4(10)
x=40

you have 40 and bro has 10

a sum of money is divided in the ratio 4:3 if the smaller share is ,€45 what is the sum of money

Answers

B = A + 150
A/B = 3/5
solve the system of equations:
A/(A + 150) = 3/5
5A = 3(A + 150)
5A = 3A + 450
2A = 450
A = $225
B = 225 + 150 = $375
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^^ *hugs*

4:3
3= 45
that means it is multiplied by 15
mutiply 4 by 15
answer is 60
60+45
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Given ΔRST : ΔLMN, which of the following is true
1.

Answers

i hope this helps you

m (R)=m (L)

m (S)=m (M)

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The answerto you question is the third one

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By the way use a calculator if u need help, don't always go on a website.

a skateboard has probability of a 0.015 defective wheel. what is the probability of it not having a defective wheel

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A football team receives the ball on their own 10 yard line. They make a gain of 15 yards in the first play. What yard line is the ball on?

Answers

the ball is on the 25 yard line

Final answer:

The football team starts at their own 10 yard line, and after a gain of 15 yards, the ball is on the 25 yard line.

Explanation:

The question is about calculating the new position of a football on the field after a team makes a gain. Initially, the football team starts with the ball on their own 10 yard line. After making a gain of 15 yards in the first play, we can determine the new yard line position by simply adding the gain to the starting position.

Step-by-Step Calculation:

Starting yard line: 10 yards.

Gain made: 15 yards.

Calculate the new yard line position: Starting yard line + Gain made = 10 yards + 15 yards = 25 yards.

Therefore, after the gain, the ball is on the 25-yard line.

A school bought 32 new desks. Each desk cost $24. Estimate how much the school spent on the new desk?

Answers

32 times 24 is $768 which us how much they spent

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Answers

yes it is proportional because ut is a linear equation and you know where to set the y and the x

Answer: YES

Step-by-step explanation: yes it is proportional because ut is a linear equation and you know where to set the y and the x

Bill and,Alyssa helped pack books to donate to a charity. Bill packed 28 boxes with 30 books in each box. Alyssa packed 31 boxes with 25 books in each box. How many more books did Bill pack? show your work.

Answers

You would have to do 25 times 31.
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28x30 31x25 Subtract each product

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it is just 6 because make a number line to -22 and to 22 then you start negative 7 then move up 22 and then go down 9 THE ANSWER IS 6

U will be at 6 feet above ground level

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Answers

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What is the pattern for this numbers 1/1000, 1/100, 1/10

Answers

each sentences of sequence multiply in 10
see in this way
1/1000X10=1/100
1/100X10=1/10
1/10X10=1
1X10=10
.
.
.
.

The previous number is multiplied by 10 to get the next number.

We have numbers [tex]\frac{1}{1000} ,\frac{1}{100},\frac{1}{10}[/tex]

Here first number is [tex]\frac{1}{1000}[/tex]

Second number is [tex]\frac{1}{100}[/tex]

Third number is [tex]\frac{1}{10}[/tex]

So ratio is [tex]\frac{ \frac{1}{100}}{ \frac{1}{1000}}=10[/tex]

And [tex]\frac{ \frac{1}{10}}{ \frac{1}{100}}=10[/tex]

As the ratio between each number is 10.

Therefore the previous number is multiplied by 10 to get the next number.

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50-10x=20 what is the value of x in this problem

Answers

So what I did was I wrote down the problem 50 - 10x = 20.

The first step I did was take 50 and subtract it from both sides: 50 - 10x = 20
-50 -50
After that i cross out the so 50's and take 20 and subtract it to 50 which gave me -30. So when you write this down you rewrite it as: -10x = -30

Last step: take the -10 and divide it by both sides the cross out the two -10's cause it's going to be written as -30/-10 which would give you x = 3. So there is your answer, hope this helps. :)

~Shadow

To find the value of x in the equation 50 - 10x = 20, we subtract 50 from both sides and then divide by -10, leading to x = 3.

To solve the equation 50 - 10x = 20 for the value of x, we need to isolate x on one side of the equation. First, we subtract 50 from both sides, which gives us -10x = -30. Next, we divide both sides by -10 to solve for x, resulting in x = 3. This process demonstrates the systematic approach to solving linear equations, ensuring accurate determination of unknown variables and facilitating problem-solving in various mathematical contexts. Once simplified, the equation x=3 represents the solution where the given expression is true, providing clarity on the value of x that satisfies the equation.

Find 3 multiple 1,789 how is multiplying a 3 digit number like multiplying a 4 digit number

Answers

3x1,789=5367. as for y 3 digit number is like multiplying a 4 digit number, it's basically the same thing just one digit more.

Multiplication is a method of finding the product of two or more numbers5367 is the 3 multiple 1,789

What is Multiplication?

Multiplication is a method of finding the product of two or more numbers

We need to find 3 multiple 1,789

Three times of one thousand seven hundred eighty nine.

1789 has four digits and 3 has only one digit.

We have to multiply one digit number with all the four digits

1789

× 3

_________

5367

Hence 5367 is the 3 multiple 1,789.

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Use properties of addition to find 37 + 58 mentally.

Answers

37+58 = 95

To explain my thought process:
37+58 = 30+50+7+8
30+50=80
7+8=15
80+15=95

Just think of adding ones in your head first then the left over tens from the ones u add to the tens but your awnser is 95

Use doubles minus one to solve 8 + 7

Answers

like 2*8-1=16-1=15
easy

4p+8=12p-16????????????

Answers

Answer twenty nine the answers 29 because 4 + 8=12+6=29

P=3 because if you subtract 4p to 12p the answer is 8p and if you add 16 to 8 the it is 24 then you divide by 8 the 8 goes in 24 3 times so the answer is 3

A pencil Company used 60 grams of rubber to make 10 pencils how many pencils can be made with 50 grams of rubber

Answers

with 50 grams of rubber, you can make approximately 8 pencils.

To solve this problem, we need to set up a proportion to find out how many pencils can be made with 50 grams of rubber.

Let's set up the proportion using the given information:

[tex]\[\frac{\text{Grams of rubber}}{\text{Number of pencils}} = \frac{60}{10} = \frac{50}{x}\][/tex]

Where:

- 60 grams of rubber is used to make 10 pencils.

- 50 grams of rubber is the amount we have.

- x is the number of pencils we want to find.

Now, let's solve for x:

[tex]\[\frac{60}{10} = \frac{50}{x}\][/tex]

Cross multiplying:

60x = 500

Dividing both sides by 60:

[tex]\[ x = \frac{500}{60} \][/tex]

x = 8.333

Since you can't make a fraction of a pencil, we need to round down to the nearest whole number because you can't make a fraction of a pencil. Therefore, with 50 grams of rubber, you can make approximately 8 pencils.

The probable question maybe:

A pencil Company used 60 grams of rubber to make 10 pencils how many pencils can be made with 50 grams of rubber?

Jade used Fraction 3 over 4 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 4 over 5 yards of fabric, and why?

A. No, because the quotient of Fraction 3 over 4division signFraction 1 and 4 over 5 is 1 and 7 over 20
B.No, because the quotient of Fraction 1 and 4 over 5Division signFraction 3 over 4 is 1 and 7 over 20
C.Yes, because the quotient of Fraction 3 over 4division signFraction 1 and 4 over 5 is 2 and 2 over 5
D.Yes, because the quotient of Fraction 1 and 4 over 5Division signFraction 3 over 4 is 2 and 2 over 5

Answers

used 3/4 to make scarf

2 scarves needs 3/4+3/4=6/4=3/2 yard

can it be made with 1 and 4/5?
1 and 4/5=5/5+4/5=9/5
compare 3/2 and 9/5
times first fraction by 5/5 and 2nd by 2/2
15/10 and 18/10
15/10<18/10
yes, has enough
confused by the division, please use parenthasees like (3/4) instead of 'fraction 3 over 4'

C or D, very confused by words that are many

Answer:

The answer is D:)

Step-by-step explanation:

Multiplying a number by 4/5 then dividing by 2/5 is the same as multiplying by what number?

Answers

4/5 / 2/5 = 4/5 * 5/2 = 4/2 = 2

Same as multiplying by 2

if the body makes 100 billion new blood cells each day,approximately how many blood cells can it make each hour

Answers

6,000 I think not sure

Roughly around 5,000

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