A pencil and a ruler cost $1.50 together. The ruler costs $1.00 more than the pencil. How much does the pencil cost?

Answers

Answer 1
Answer: The pencil costs $0.25.

One way to deduce this is to divide 1.50 by 2 (equaling 0.75) and then subtracting .5 to get 0.25 because if it's $1 more, then the ruler would cost 0.75 + 0.5 and the pencil would cost 0.75 - 0.5, making a total of $1.50.

Another way is to make it an equation. Let's say the ruler is r dollars and the pencil is p dollars.
r + p = 1.50
r = p + 1.00
If we know these two equations, then you can substitute p + 1.00 in the 1st equation (instead of r). This gets us:
p + 1.00 + p = 1.50
You can simplify this into:
2p + 1.00 = 1.50
Then you subtract 1.00 from both sides:
2p = 0.50
And you divide 2 from both sides:
p = 0.25
Getting you the answer of:
The pencil costs $0.25

Hope this helps! :)
Answer 2
Answer:

Answers:

The pencil costs $0.25

The ruler costs $1.25

Explanation:

Assume that the cost of the pencil is x and that the cost of the ruler is y.

We are given that:

1- The total cost is $1.5

This means that:

x + y = 1.5 ...........> equation I

2- The ruler costs $1 more than the pencil

This means that:

y = x + 1 ............> equation II

Substitute with equation II in equation I and solve for x as follows:

x + y = 1.5

x + x + 1 = 1.5

2x = 1.5 - 1

2x = 0.5

x = (0.5)/(2) = 0.25

This means that:

cost of pencil = x = $0.25

cost of ruler = 1 + 0.25 = $1.25

Hope this helps :)


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A PS4 uses 8.8 watts when on stand-by mode. How much electricity would be used if you have your PS4 on stand-by 21 hours a day for 2 weeks?

Answers

2 weeks = 14 days. 
21 hours × 14 days = 294 hours total.

8.8 watts × 294 hours = 2587.2 Wh or 2.5872 kWh. 

Can u pls explain to me how to do this?​

Answers

So basically you just have to count how many numbers there are, so there are 3 91’s so you would put a 3 in the box go 91 and there’s only 1 57 so you put a 1 in the box.

Answer:

57 1 and 91 3

Step-by-step explanation:

because there's the number 57 once and 91 3 times

The sales tax rate is 4%. If Xavier buys a balance beam priced at $687 ,how much tax will he pay?

Answers

Answer:

$27.48

Step-by-step explanation:

687*0.04 which is $27.48

Hope this helps plz hit the crown :D

Answer:

27.48

Step-by-step explanation:

687 x .04 = 27.48

How do I find the y-intercept of an equation in the form y=mx+by = mx + b?

Answers

That's exactly the form you want it in, because you can look at it and see
just about everything there is to know about the line.

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An airplane is currently at an elevation of 8500 feet above sea level. The airplane is losing elevation at a rate of 150 feet per minute to land. Whichequation represents the elevation of the plane, y, after m minutes
Oy=150-8500m
O y=8500m-150
O y=8500-150m
O y=150m-8500

Answers

Answer:the answer is y=8500-150m

Step-by-step explanation:I say this because 150 is the amount of feet that it drops per minute m stands for minute so you would be multiplying 150 by whatever m would be.

Final answer:

The equation representing the airplane's elevation after m minutes is y = 8500 - 150m, where 8500 is the original elevation and 150m is the cumulative loss of elevation.

Explanation:

The question is trying to establish an equation that represents the elevation of the airplane in relation to time. Given the airplane starts at an elevation of 8500 feet and is losing height at the rate of 150 feet per minute, to find the elevation y after m minutes, we need to subtract the total feet lost from the original elevation. Therefore, the equation that represents this situation is: y = 8500 - 150m.

In this equation, 8500 is the original elevation and 150m represents the cumulative loss of elevation for each minute (encompassing m minutes).

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Sal and two of his friends rent an apartment together. Their total cost to move in included first months rent, last months rent and a security deposit of $1,200. If Sal paid a total of $1,000 to move in, how much is his share of the rent each month?.

Answers

according to the problem the payment Sal did correspond to
(2 rent + 1200)/3 = 1000
2 rent + 1200 = 3000
2 rent = 1800
rent = 900
this means that 
rent = $900

Answer:

according to the problem the payment Sal did correspond to

(2 rent + 1200)/3 = 1000

2 rent + 1200 = 3000

2 rent = 1800

rent = 900

this means that

rent = $900

Step-by-step explanation: