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3 years ago

Joe drove 345 miles on 25 gallons of gas What was his average miles per gallon?

Mathematics

2 answers:

hichkok12 [17]3 years ago

7 0

Answer:

13.8 miles a gallon

Step-by-step explanation:

I think this because 345 divided by 25 equals 13.8 which would mean 13.8 miles for every gallon

Effectus [21]3 years ago

6 0

Miles 354. 13.8

--------- --------- -------
gallons. 25. 1
$345 \div 25$
$25 \div 25$

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Kate earns $ 12.50 for each hour babysitting her baby sister. Her mom decided to give her a $ 4.50 per hour raise. How much more

Salsk061 [2.6K]

Answer:

$67.50

Step-by-step explanation:

Method 1

original rate = $12.50 per hour

therefore, money earned in 15 hours = 15 x 12.50 = $187.50

new rate = 12.50 + 4.50 = $17 per hour

therefore, money earned in 15 hours = 15 x 17 = $255.00

255 - 187.50 = $67.50

Therefore, Kate earns $67.50 more after the raise.

Method 2

As the raise is an additional $4.50 per hour, simply multiple 4.50 by 15 to calculate the extra money Kate earns:

4.5 x 15 = 67.50

3 0

2 years ago

Each of 5 friends got a full box of snacks and an extra 6 snacks. Write an equation to show how many snacks are in all those box

loris [4]

I think an equation for this could be 5x+6=y
This can be explained as x representing how much the five friends got and y equaling the total. Hope this helps!

8 0

3 years ago

Find the sum of the first 20 terms of an arithmetic progression of which the third term is 55 and the last term is -98

ryzh [129]

The sum of first 20 arithmetic series $S_{20}=\frac{-3475}{16}$

Given:

Arithmetic series for 3rd term is 55

Arithmetic series for 7th term is -98

To find:

The sum of first 20 Arithmetic series

Step by Step Explanation:

Solution:

Formula for calculating arithmetic series

Arithmetic series=a+(n-1) d

Arithmetic series for 3rd term $a_{3}=a_{1}+(3-1) d$

$a_{1}+2 d=55$

Arithmetic series for 19th term is

$a_{19}=a_{1}+(19-1) d=-98$

$a_{19}+18 d=-98$

Subtracting equation 2 from 1

$\left[a_{19}+18 d=-98\right]+\left[a_{1}+2 d=55\right]$

16d=-98-55

16d=-153

$d=\frac{-153}{16}$

Also we know $a_{1}+2 d=55$

$a_{1}+2(-153 / 16)=55$

$a_{1}+(-153 / 8)=55$

$a_{1}=55+(153 / 8)$

$a_{1}=440+153 / 8$

$a_{1}=553 / 8$

First 20 terms of an AP

$a_{n=} a_{1}+(n-1) d$

$a_{20}=553 / 8+19(-153 / 16)$

$a_{20}=\{553 * 2 / 8 * 2\}-2907 / 16$

$a_{20}=[1106 / 16]-[2907 / 16]$

$a_{20}=-1801 / 16$

Sum of 20 Arithmetic series is

$S_{n}=n\left(a_{1}+a_{n}\right) / 2$

Substitute the known values in the above equation we get

$S_{20}=\left[\frac{20\left(\left(\frac{558}{8}\right)+\left(\frac{-1801}{16}\right)\right)}{2}\right]$

$S_{20}=\left[\frac{\left.20\left(\frac{1106}{16}\right)+\left(\frac{-1801}{16}\right)\right)}{2}\right]$

$S_{20}=10 \frac{(-695 / 16)}{2}$

$S_{20}=5\left[\frac{-695}{16}\right]$

$S_{20}=\frac{-3475}{16}$

Result:

Thus the sum of first 20 terms in an arithmetic series is $S_{20}=\frac{-3475}{16}$

7 0

3 years ago

Which graph (x,y)- pairs that make the equation y=x-1 true Choose 1 answer

irakobra [83]

Graph 1 which is shown in the image below

7 0

3 years ago

.25x + 2x QUICKKKK I NEED HELPPPP

julsineya [31]

Answer:

2.25x

Step-by-step explanation:

2.00x

0.25x

2.25x

hope this helps

please mark me brainliest

5 0

3 years ago