MATHEMATICS MIDDLE SCHOOL

Tyler reads 2/15 of a book on Monday 1/3 of it on Tuesday 2/9 of it on wensday,and 3/4 of the remainder on Thursday, if he still has 14 pages left to read on Friday, how many pages are there in the book

Answers

Answer 1

Answer:

Answer:

129 pages.

Step-by-step explanation:

Let's call $p$ the total number of pages.

He reads $(2)/(15)p$ on Monday. There are 13/15 left.

$(1)/(3)p$ on Tuesday. There are 2/3 left.

$(2)/(9)p$ on Wednesday. There are 7/9 left.

Now, the remainder would be the difference between $p$ and all pages read at this point

$p-(2)/(15)p-(1)/(3)p-(2)/(9)p=(45p-6p-15p-10p)/(45) =(14p)/(45)$

So, 3/4 of this is

$(3)/(4) * (14p)/(45)=(42p)/(180) =(21p)/(90)=(7p)/(30)$

The sum of all pages read is

$((2)/(15)+(1)/(3)+(2)/(9)+(7)/(30) )p+10=p\n((12+30+20+21)/(90))p +10=p\n(83)/(90)p+10=9\n 10=p-(83)/(90)p\n10=(90p-83p)/(90)\n 900=7p\np=(900)/(7)\n p \approx 129$

Therefore, there are around 129 pages.

Answer 2

Answer: Since Tyler read 3/4 of the remainder, that means 14 pages must be 1/4 of the remainder.

4x14=56 pages

Similarly, 56 pages should be the remainder after he read 2/9 of the book on wednesday.

So, 1-(2/15+1/3+2/9)=14/45

If 56 pages is 14/45 of the whole book,
$56 / (14)/(45) = 180$
The book is 180 pages.

A) 3

Step-by-step explanation:

We know that the diagonals of the parallelogram intersect in half.

Therefore we hawe the equation:

x - 30 = -9 - 6x add 30 to both sides

x = 21 - 6x add 6x to both sides

7x = 21 divide both sides by 7

x = 3

X=3 hope this helps sorry if I’m wrong

What is the factorization of 2x2+9x+9

Answers

Answer: 94

Step-by-step explanation:

Simplify each term

Multiply 2 by 2

4+9x9+9

Multiply 9 by 9

4+81+9

Simplify by adding numbers

add 4 and 81

85 +9

add 85 and 9

Hope this helps~

Samantha's notebook has 14 pages more than three times as much as Lisa's notebook. If Samantha's notebook has 260 pages , how many pages are there in Lisa's notebook? Answer Choices 72 82 246 738

Answers

your answer is B.82

I would answer this like algebra, so if L = Lisa's notebook, then:
3L + 14 = 260
- 14
3L = 246
÷ 3
L = 82
So your answer is 82 pages, I hope this helps!

11. What is the height of the cylinder? The figure is not drawn to scale. (1 point)V = 282.7 in
Please help ASAP

Answers

Answer:

The height of the cylinder is 3.6 inch.

Step-by-step explanation:

In the attached figure,

Volume of the cylinder is 282.7 square inches

Radius of the cylinder is 5 inches.

It is required to find the height of the cylinder.

The volume of the cylinder is given by the below formula as :

$V=\pi r^2 h$

h is height of cylinder

$h=(V)/(\pi r^2)\n\nh=(282.7)/(3.14* (5)^2)\n\nh=3.6\ \text{inch}$

So, the height of the cylinder is 3.6 inch.

The approximate height of the cylinder is 3.6 inches

How to determine the height?

The given parameters are:

Radius, r = 5 in

Volume, V = 282.7 cubic in

The volume is calculated using:

V = πr²h

So, we have:

3.14 * 5² * h = 282.7

Evaluate

78.5 * h = 282.7

Divide both sides by 78.5

h = 3.6

Hence, the approximate height of the cylinder is 3.6 inches

Answers

The combination of a deposit and a withdrawal will result in a zero balance in Ann's account is

A) Deposit $20 in the first week and withdraw $270 in the second week.

What is a saving account?

A savings account is a basic type of financial product that allows you to deposit your money and typically earn a modest amount of interest. These accounts are federally insured up to $250,000 per account owner and offer a safe place to put your money while earning interest.

Given that, Ann is opening a new savings account with an initial deposit of $250, we need to find the combination of a deposit and a withdrawal will result in a zero balance in Ann's account,

So, if Ann deposit $20 in first week the account balance = 250+20 = $270

Now, since the amount in her account is $270, so to make it zero, she should withdraw all the amount i.e. $270

Hence, the combination of a deposit and a withdrawal will result in a zero balance in Ann's account is

A) Deposit $20 in the first week and withdraw $270 in the second week.

Learn more about saving accounts, click;

brainly.com/question/10777478

#SPJ3

The answer is A 250+20 then 270-270=0

Drag a reason to each box to complete the proof.Given: DF=EG

segment D G with points D E F G on the segment in order from left to right

Prove: DE=FG

Answers

DG is a given line segment with points D E F G on the segment in order from left to right as shown in the given image.

1. DF = EG (Given)

2. As, DF=DE+EF

and EG=EF+FG

Also, DF=EG(Given)

Substituting the values of DF and EG in the given equation,

DE+EF = EF+FG (Substitution property of equality)

Subtracting EF from both the sides ,

DE=FG (Subtraction property of equality).

The answered table is attached.

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Tyler reads 2/15 of a book on Monday 1/3 of it on Tuesday 2/9 of it on wensday,and 3/4 of the remainder on Thursday, if he still has 14 pages left to read on Friday, how many pages are there in the book

Answers

129 pages.

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