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koban [17]
2 years ago
8

Find the point of intersection of the lines in the figure, given that line A, in red, has equation y=x+3 and line B, in blue, ha

s equation 2x+3y=10.
x=
y=

Mathematics
1 answer:
Zepler [3.9K]2 years ago
7 0

Answer:

(0.2, 3.2)

Step-by-step explanation:

line A, in red, has equation          y=x+3   times 3    3y=3x+9

line B, in blue, has equation 2x+ 3y = 10

                                             -3x + 3y = 9      subtract thes two equations      

                                         (2x - -3x) + (3y -3y) = 10 - 9

                                                  5x + 0y  = 1

                                                         5x  =  1  

                                                           x = 1/5    or  0.2

                                                y = x + 3

                                                y = 0.2 + 3

                                                y = 3.2

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Justin is saving money to buy a stereo. He has $25 saved in the bank right now. He earns $40 each week delivering newspapers.
mafiozo [28]

Answer:

y = 25 + 40x

Step-by-step explanation:

Let

y = the total amount of money Justin has

x = number of weeks

Amount Justin has in the bank = $25

Amount Justin earns per week = $40

Equation for how much money Justin has (including the amount he has in the bank) in x weeks

the total amount of money Justin has = Amount Justin has in the bank + (Amount Justin earns per week * number of weeks)

y = 25 + (40 * x)

y = 25 + 40x

The equation is

y = 25 + 40x

7 0
3 years ago
PLEASE HELP !!! ONLY AN HOUR LEFT
kolbaska11 [484]

Answer: arc ef is 68

Step-by-step explanation:

Since EF and FG are the same length (given)

and DE and DG are the same length (both are radius of the circle)

and DF is a shared side, the 2 inscribed triangles are congruent, making angle EDF also 68

The measure of an arc is the same as the measure of the angle across from it

7 0
3 years ago
Read 2 more answers
Pls help me with the inverse operation of this problem. Best answer gets brainliest
timurjin [86]

Answer:

x=7

Step-by-step explanation:

I believe we are solving for x. In that case, let us start by moving 1 to the other side.

\frac{4(x+3)}{5} = 8

Now, we want to get rid of that denominator of 5. Let us multiply both sides by 5:

4(x+3)=40

Now, we may divide both sides by 4 to get rid of the coefficiant:

x+3=10

When we subtract both sides by 3, we get

x=7

<em>I hope this helps! :)</em>

6 0
2 years ago
A house is worth 125,000 when it is 2 years old and 135,150 when it is 7 years old. According to this model, how much will the h
kicyunya [14]

Answer:111650

Step-by-step explanation:i think its right

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7By%7D%7B2%7D%20%20%3C%20%20-%203" id="TexFormula1" title=" \frac{y}{2} &lt; - 3"
Allisa [31]
Hey!


Okay, to solve this problem, we'd first have to multiply both sides by two. The reason we do this is to get y on its own.

<em>Original Equation : </em>
\frac{y}{2} < -3

<em>New Equation {Changed by Multiplying 2 on Both Sides} :</em>
\frac{2y}{2} < 2 ( -3 )

And we simplify the equation to get our answer.

<em>Old Equation :</em>
\frac{2y}{2} < 2 ( -3 )

<em>New Equation {Changed by Simplification} :</em>
y < -6

<em>So, the equation \frac{y}{2} < -3 simplified is</em>  y < -6.

Hope this helps!


- Lindsey Frazier ♥
8 0
3 years ago
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