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3 years ago

5

After running 10 miles, David drank 2 bottles of water. His brother was thirstier and drank 2 1/2 times as much as David. What e

quation can be used to find out how many bottles of water David's brother drank?

2 answers:

ad-work [718]3 years ago

5 0

2 * 2.5 = 5, David’s brother drank 5 bottles of water. And the number of miles they ran is insignificant to the question.

r-ruslan [8.4K]3 years ago

3 0

2 x 2 1/2= 5 so the answer is 5

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The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$

babymother [125]

You're given

<em>x</em> + <em>y</em> + <em>z</em> = 165

7<em>x</em> = <em>n</em>

<em>n</em> = <em>y</em> - 9

<em>n</em> = 9 + <em>z</em>

and you want to find <em>xyz</em>.

Solve the last three equations for <em>x</em>, <em>y</em>, and <em>z</em> :

7<em>x</em> = <em>n</em> → <em>x</em> = <em>n</em>/7

<em>n</em> = <em>y</em> - 9 → <em>y</em> = <em>n</em> + 9

<em>n</em> = 9 + <em>z</em> → <em>z</em> = <em>n</em> - 9

Substitute <em>x</em>, <em>y</em>, and <em>z</em> into the first equation and solve for <em>n</em> :

<em>n</em>/7 + (<em>n</em> + 9) + (<em>n</em> - 9) = 165

<em>n</em>/7 + 2<em>n</em> = 165

<em>n</em> + 14<em>n</em> = 1155

15<em>n</em> = 1155

<em>n</em> = 77

Now solve for <em>x</em>, <em>y</em>, and <em>z</em> :

<em>x</em> = 77/7 = 11

<em>y</em> = 77 + 9 = 86

<em>z</em> = 77 - 9 = 68

Then the product is

<em>xyz</em> = 11 • 86 • 68 = 64,328

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3 years ago

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Orlov [11]

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3 years ago

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How much do I have to deposit today in order to have $5000 in 5 years if interest is 8.5% compounded annually?

alina1380 [7]

Answer:

PV= $3,402.9

Step-by-step explanation:

Giving the following formula:

Future Vale (FV)= $5,000

Number of years (n) 5 years

Interest rate (i)= 8.5% compounded annually

<u>To calculate the initial investment (PV), we need to use the following formula:</u>

PV= FV / (1 + i)^n

PV= 5,000 / (1.085^5)

PV= $3,402.9

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3 years ago

Use inductive reasoning to predict the next three numbers in the pattern.

Mademuasel [1]

The next three numbers in the pattern would be 768, -3072, 12,288.

<h3>What are the next three numbers?</h3>

Looking at the given sequence, it can be seen that the numbers increase by a multiple of 4.

-12 /3 = 4

48 / 12 = 4

192 / 48 = 4

The next three numbers would be:

192 x 4 = 768

768 x 4 = 3072

3072 x 4 = 12,288.

Examining the numbers, it can be seen that the positive and negative signs alternate. Thus, the numbers would be : 768, -3072, 12,288.

To learn more about mathematical sequence, please check: brainly.com/question/26578277

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1 year ago

to find the product 3 3/8 * 4 1/9.tara rewrote 3 3/8 as 17/8 amd 4 1/9 as 13/9. she multiplies the fractions to find the product

Ymorist [56]

Answer:

The error Tara made is she rewrote incorrectly 3 3/8 as 17/8 and 4 1/9 as 13/9,

the corrected number can be rewrote as 3 3/8 as 27/8 and 4 1/9 as 37/9.

Step-by-step explanation:

To find the Product of:

$3\frac{3}{8}\times 4\frac{1}{9}$

The Number can be rewrote as,

$\frac{3\times8+3}{8}\times \frac{4\times9+1}{9}\\\\\frac{24+3}{8}\times \frac{36+1}{9}\\\\\frac{27}{8}\times \frac{37}{9}$

Tara made error here she rewrote the number incorrectly 3 3/8 as 17/8 amd 4 1/9 as 13/9.

Now multiplying the fraction we get

$\frac{999}{72}$

Because she rewrote incorrectly which led her answer to multiplication of fraction, the product too was incorrect which she wrote as 221/72.

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3 years ago