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denis23 [38]
3 years ago
8

A pen costs twice as much as a pencil. The total cost of 1 pen and 1 pencil is $2.10. If p represents the cost of 1 pencil, whic

h equation could you use to find p?
Mathematics
1 answer:
Shalnov [3]3 years ago
5 0

Answer:

3p = $2.10

p = $0.70

Step-by-step explanation:

Cost of a pencil: p

Cost of a pen: p × 2 = 2p

If the cost of 1 pen and 1 pencil is $2.10,

2p + 1p = $2.10

3p = $2.10

p = $0.70

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Two angles are supplementary the first angle measures 40 degrees what is the second angle
nydimaria [60]
The second angle would be 140⁰. When two angles are supplementary, they add up to 180⁰.
180⁰-40⁰=140⁰
4 0
3 years ago
Solve the following system of equations:
Akimi4 [234]
It would have no solutions that's your answer.
6 0
3 years ago
3. Find two possible lengths for CD if C, D, and E
Kaylis [27]

Given :

C, D, and E  are col-linear, CE = 15.8 centimetres, and DE=  3.5 centimetres.

To Find :

Two possible lengths for CD.

Solution :

Their are two cases :

1)

When D is in between C and E .

.                   .           .

C                  D          E

Here, CD = CE - DE

CD = 15.8 - 3.5 cm

CD = 12.3 cm

2)

When E is in between D and C.

.       .                .

D      E              C

Here, CD = CE + DE

CD = 15.8 + 3.5 cm

CD = 19.3 cm

Hence, this is the required solution.

3 0
3 years ago
Write the slope-intercept form of the equation of each line.
miskamm [114]

Answer:

y = 3x + 2

Step-by-step explanation:

Let's identify two clear points on this line. I can see (0, 2) and (-1, -1)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-1 - 2) / (-1 - 0)

Simplify the parentheses.

= (-3) / (-1)

Simplify the fraction.

-3/-1

= 3

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 3x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the first point (0, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 3(0) + b

To find b, multiply the slope and the input of x(0)

2 = 0 + b

Now, we are left with 0 + b.

2 = b

Plug this into your standard equation.

y = 3x + 2

This is your equation.

Hope this helps!

7 0
3 years ago
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