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il63 [147K]
3 years ago
14

Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance. If they bo

th save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?

Mathematics
1 answer:
stich3 [128]3 years ago
6 0
First, let's make an equation as to how to find how much money they have altogether:

(M stands for the # of month)

Jaclyn: 120 + 40m 
Pedro: 180 + 20m

So let's plug-in 1 for m (1 will stand for 1 month)

Jaclyn: 120 + 40 * 1 = 160
Pedro: 180 + 20 * 1 = 200

I made a table depicting how much they'll make for the next 5 months (attached below). According to that, on month 3, they will have made the same amount of money (or $240).

So they will have the same amount of money in 3 months. Hope this helps! :)

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Kisachek [45]

Answer:

Total amount of fencing needed as an algebraic expression in terms of x is: <em>10x</em><em> </em><em>+</em><em> </em><em>3</em> .

Step-by-step explanation:

As it is given that each rectangle has the same dimensions, the dimensions of each rectangle must be: x units by 2x + 1 units.

Based on this, we can calculate the total amount of fencing needed.

Let width of each rectangle = x

Let length of each rectangle = 2x + 1

There are 4 widths and 3 lengths in total of fencing.

Therefore:

= 4 ( x ) + 3 ( 2x + 1 )

Expand:

= 4x + 6x + 3

Group like-terms:

= 10x + 3

7 0
2 years ago
F(x)=2x <br> 2<br> −x+9<br> \text{Find }f(4)<br> Find f(4)
Artemon [7]

Answer:

37

Step-by-step explanation:

f(x)=2x²−x+9

f(4)= 2(4)²-4+9

= 32-4+9

= 37

8 0
3 years ago
A certain city with population of 132,000 is to be divided into 11 voting districts, and no district is to have a population tha
galben [10]

Answer: Therefore, Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Number of population = 132000

Number of voting districts = 11

According to question,  no district is to have a population that is more than 10 percent greater than the population of any other district.

Let the number of population that the least populated district could have be 'x'.

So, it becomes,

x+10(1.1x)=132000\\\\x+11x=13200\\\\12x=132000\\\\x=\dfrac{132000}{12}\\\\x=11000

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Therefore, Option 'D' is correct.

4 0
3 years ago
Answer this problem. 3⁄14 ÷ 2⁄7 = ?
vladimir2022 [97]

Answer:

3/4

Step-by-step explanation:

3/14 ÷ 2⁄7

Copy dot flip

3/14 * 7/2

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Canceling a 7 from 7 and 14

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Answer:

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Step-by-step explanation:

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