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defon
3 years ago
8

32 envelopes + 15 postcards = $47.11

Mathematics
1 answer:
sweet [91]3 years ago
3 0
See photo

Hope it helps

You might be interested in
Find the values. Question 1. Thanks!
kompoz [17]

Answer:

x=5 and y=8

Step-by-step explanation:

Find x:

3x - 2 = x + 8

-x          -x

2x - 2 = 8

     +2    +2

2x = 10

----   ----

2       2

x = 5

Find y:

6y - 7 = y + 33

-y         -y

5y - 7 = 33

     +7    +7

5y = 40

----   -----

5       5

y = 8


7 0
4 years ago
Combine 2y+1x=40 and y=2x using substitution
fomenos

2(2x) + 1x = 40 or 4x + 1x = 40 is the result of combining by substitution

<em><u>Solution:</u></em>

Given that we have to combine 2y + 1x = 40 and y = 2x using substitution method

The substitution method for solving systems of equations involves expressing one variable in terms of another, thus removing one variable from an equation.

<em><u>Given equations are:</u></em>

2y + 1x = 40 -------- eqn 1

y = 2x ----------- eqn 2

We can substitute eqn 2 in eqn 1

Which means, substitute y = 2x in place of y in eqn 1

2(2x) + 1x = 40

4x + 1x = 40

5x = 40

x = 8

From eqn 2,

y = 2(8)

y = 16

Thus by combining using substitution method we found the solution

3 0
3 years ago
What is the slope of the line determined by the points (-1,2) and (6,-3) ?
Ilya [14]
m=\dfrac{y_2-y_1}{x_2-x_1}\\\\&#10;m=\dfrac{2-(-3)}{-1-6}\\&#10;m=\dfrac{5}{-7}\\&#10;m=-\dfrac{5}{7}\\
6 0
3 years ago
Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Center at the origin
Elanso [62]

Answer:

The equation of circle is x^2+y^2=65.

Step-by-step explanation:

It is given that the circle passes through the point (8,1) and center at the origin.

The distance between any point and the circle and center is called radius. it means radius of the given circle is the distance between (0,0) and (8,1).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula the radius of circle is

r=\sqrt{\left(8-0\right)^2+\left(1-0\right)^2}=\sqrt{65}

The standard form of a circle is

(x-h)^2+(y-k)^2=r^2         .... (1)

where, (h,k) is center and r is radius.

The center of the circle is (0,0). So h=0 and k=0.

Substitute h=0, k=0 and r=\sqrt{65} in equation (1).

(x-0)^2+(y-0)^2=(\sqrt{65})^2

x^2+y^2=65

Therefore the equation of circle is x^2+y^2=65.

5 0
3 years ago
Can anyone help me with this? is equations of lines.
vladimir2022 [97]

Answer:

x=16

Step-by-step explanation:

y = 1/2 x -3

Let y =5

5 = 1/2 x -3

Add 3 to each side

5+3 = 1/2 x -3+3

8 = 1/2x

Multiply each side by 2

8*2 = 1/2x*2

16 =x

8 0
3 years ago
Read 2 more answers
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