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3 years ago

Two pencils and a ruler cost 98 cents in total. One pencil and 2 rulers cost $1.24 in total. Find the cost of each item.

Mathematics

2 answers:

yuradex [85]3 years ago

6 0

Answer: 2.16
6(2p)+15p=2.16
12p+15p=2.16
27p=2.16

salantis [7]3 years ago

5 0

Answer:

2.16

Step-by-step explanation:

r = cost of ruler

p = cost of pencil

r = 2p

6r + 15p = 2.16

Substitute 2p in place of r in 2nd equation and solve for p

6(2p) + 15p = 2.16

12p + 15p = 2.16

27p = 2.16

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You won a free ticket to see the latest Star Wars movie this Friday night (which you can costlessly resell for its face value of

Bogdan [553]

Answer:

The opportunity cost of going to see the Star Wars movie on Friday is $35.

Step-by-step explanation:

You won a free ticket to see the latest Star Wars movie this Friday night with a face value of $15.

Tickets to see your favorite band cost $30, and on any given day, you would be willing to pay as much as $50 for a ticket.

So, the opportunity cost of going to see the Star Wars movie on Friday =

$50+15-30=35$ dollars

7 0

3 years ago

Convert the following repeating decimal to a fraction in simplest form .31 with the 1 repeating

bekas [8.4K]

Answer:

14/45

Step-by-step explanation:

So we have the fraction:

$0.3\bar1=0.31111...$

We can do this algebraically. Follow to following steps:

Let's let this number equal to n. Thus:

$0.31111...=n$

Since there is only 1 digit repeating, let's multiply everything by 10. So:

$3.1111...=10n$

Now, subtract n from both sides:

$3.1111-n=10n-n$

On the left, substitute the number for n. On the right, combine like terms:

$3.1111...-0.31111...=9n$

All of the 1s will cancel. So:

$3.1-0.3=9n$

Subtract:

$2.8=9n$

Divide both sides by 9:

$n=2.8/9$

Remove the decimal by multiplying both sides by 10:

$n=28/90$

Reduce:

$n=14/45$

And we're done!

Use a calculator to check:

$14/45\stackrel{\checkmark}{=}0.31111...$

7 0

3 years ago

Graph the inequality x<1

S_A_V [24]

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7 0

3 years ago

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

Oksanka [162]

Standard form is ax+by=c

first we use
y-y1=m(x-x1)
a point is (x1,y1)
the slope is m

the slope between the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(1,1) and (3,4)
slope=(4-1)/(3-1)=3/2

a oint is (1,1) and slope is 3/2
y-1=3/2(x-1)
y-1=3/2x-3/2
solve for ax+by=c form, a is normally positive and a and b and c are whole numbers
times 2 both sides
2y-2=3x-3
minus 2y
-2=3x-2y-3
add 3
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3x-2y=2

5 0

3 years ago

What is the value of x

VLD [36.1K]

Answer:

value of x = 8

Step-by-step explanation:

if the given lines are parallel, then the shown pair of angles are corresponding angles,

and we know that the the pair of corresponding angles are equal so,

=》16x - 8 = 120

=》16x = 128

=》x = 128 ÷ 16

=》x = 8

6 0

3 years ago