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Oduvanchick [21]
2 years ago
11

What is 3.25 reapting 5 as a fraction

Mathematics
1 answer:
netineya [11]2 years ago
6 0
Well, since the decimal is not terminating (not rational) it cannot be put into a fraction.
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Please Elijah and Aubrey have summer jobs Elijah deposits the same amount of money in his account every week the equation is y =
Anika [276]

Answer:

Part a) y=125x+23

Part b) The graph of the equation for Aubrey's balance is parallel to the graph of Elijah's balance

Part c) Parallel graphs mean that their slopes are the same and that they deposited the same amount of $125 per week into their account balance during the summer.

Step-by-step explanation:

<u><em>The correct question is</em></u>

Elijah and Aubrey have summer jobs. Elijah deposits the same

amount of money in his account every week. The equation y = 125x + 72 represents his bank balance any given week of the summer. Aubrey also deposits the same amount into her account every week. At the end of the third week she has $398. At the end of the sixth week she has $773.

a. Write an equation to represent Aubrey's bank balance any given week of the summer.

b. Would the graph of the equation for Aubrey's balance be parallel to the graph of Elijah's balance? Explain.

c. What do the parallel graphs mean in terms of the situation?

Part a)

Let

x ----> the number of weeks  

y ----> represent bank's balance

we know that

<em>Elijah</em>

y=125x+72 -----> equation A

<em>Aubrey</em>

we have the points

(3,398) and (6,773)

Find the slope m

m=(773-398)/(6-3)

m=375/3

m=125

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=125

point\ (3,398)

substitute

y-398=125(x-3) ----> equation in point slope form

Convert to slope intercept form

y=mx+b

y-398=125x-375

y=125x-375+398

y=125x+23 ----> Aubrey's bank balance

Part b)

Compare the equations

y=125x+72 ----> Elija's bank balance

y=125x+23 ----> Aubrey's bank balance

Remember that

If two lines are parallel, then their slopes are equal

In this problem the slopes are equal

m=125\frac{\$}{week}

therefore

The graph of the equation for Aubrey's balance is parallel to the graph of Elijah's balance

Part c) Parallel graphs mean that their slopes are the same and that they deposited the same amount of $125 per week into their account balance during the summer.

5 0
2 years ago
The sum of 2 fractions is 5/6. Their difference is 1/2. Their least common denominator is 6. The denominator of one is twice the
valentinak56 [21]

Answer:

Step-by-step explanation:

Alright, lets get started.

Suppose the first fraction is : \frac{a}{b}

Suppose the second fraction is : \frac{c}{d}

The sum of both fraction is given as : \frac{5}{6}

\frac{a}{b}+\frac{c}{d}=\frac{5}{6}    .......................equation (1)

The difference of both fraction is given as : \frac{1}{2}

\frac{a}{b}-\frac{c}{d}=\frac{1}{2}   .........................equation (2)

Adding equation (1) and equation (2)

\frac{c}{d} \ will  \ be \ cancelled

\frac{2a}{b}=\frac{5}{6}+\frac{1}{2}

making common denominator

\frac{2a}{b}=\frac{5}{6}+ \frac{3}{6}

\frac{2a}{b}=\frac{8}{6}

Hence,

\frac{a}{b}=\frac{2}{3}

Plugging the value of \frac{a}{b} in equation (1)

\frac{2}{3}+\frac{c}{d}=\frac{5}{6}

Subtracting \frac{2}{3} in both sides

\frac{c}{d}=\frac{5}{6}-\frac{2}{3}

\frac{c}{d}=\frac{1}{6}

Hence both fractions are \frac{2}{3} \ and \  \frac{1}{6}     ...................Answer

Hope it will help :)

7 0
2 years ago
A bottle contains 34 gallon of fruit punch. If 6 people share the fruit punch equally, how much fruit punch does each person get
Feliz [49]

Answer:

17/3 or in decimal form, 5.67 gallons for each person.

Step-by-step explanation:

If 34 gallons of fruit punch will be shared equally with 6 people, just divide 34 by 6.

34/6 = 17/3 or in decimal form, 5.67 gallons for each person.

5 0
2 years ago
A car leaves at 9 : 00 a.m. and drives at a constant speed. It is 20 miles from its starting point at 9 : 30 a.m. At what time w
Ilya [14]

Answer:

2:00 PM

Step-by-step explanation:

I figured out that the car is going 40 mph seeing as how it went 20 miles in 30 minutes.

I used this and found out how many hours it would take to get to 200 miles at this rate:

200/40 = 5

I divided 40 by 200 as 200 is the end goal and the car is going 40 mph.

The 5 is 5 hours, so I added 9 and 5 to get 14 which is 2:00 PM

Hope this helps!! :)

6 0
2 years ago
What single decimal multiplier would you use to decrease by 7% followed by a 20% decrease?
Nadusha1986 [10]

Answer:

13 percent

Step-by-step explanation:

6 0
3 years ago
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