Mathematics, 19.08.2019 20:30 penaabel6202

Apencil and a ruler cost $1.50 together. the ruler costs $1.00 more than the pencil. how much does the pencil cost?

Answers: 2

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Answers

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 from: faithtunison

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

$x = \frac{0.5}{2} = 0.25$

This means that:

cost of pencil = x = $0.25

cost of ruler = 1 + 0.25 = $1.25

Hope this helps :)

Answer from: Quest

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

Answer from: Quest

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a) |-1|, |3/2|, |-2|, |-3|, |3.5|

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Apencil and a ruler cost $1.50 together. the ruler costs $1.00 more than the pencil. how much does t...