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Tanya [424]
3 years ago
6

For $7.52, you purchased 8 pens and highlighters form a local bookstore. Each highlighter cost $1.09 and each pen cost $.69. Wri

te a system of equations that can be used to find how many pens you bought.

Mathematics
1 answer:
Delvig [45]3 years ago
7 0
8 x 1.09 + 8 x .69 = 14.24
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2 years ago
{ x - 3y= -3 & x + y= 5 We are to use the graph to solve the given system of equations, then enter your solution below. I ge
nasty-shy [4]

Answer:

Solution: (3, 2)

Step-by-step explanation:

It's easier to graph when the equation of the lines are in their slope-intercept form, y = mx + b.

<u>x - 3y = -3</u>

-3y = -x - 3

Divide both sides by -3:

\frac{-3y}{-3}  = \frac{-x - 3}{-3}

y = 1/3x + 1

where slope = 1/3

y-intercept = 1

<u>x + y = 5</u>

Subtract x from both sides to isolate y:

x - x + y = - x + 5

y = -x + 5

where slope = -1  

y-intercept, 5

I started by graphing the y-intercepts of each line. Then, I used the slope of each linear equation (rise over run) to plot the next points on the graph. In the attached screenshot of the graph, <u>x - 3y = -3</u> is the blue line, while <u>x + y = 5</u> is the green line. Their intersection occurs at point, (3, 2).

Therefore, the solution is (3, 2).

Please mark my answers as the Brainliest if you find my explanations helpful :)

5 0
3 years ago
How to solve 3.5x = 14.7​
Anna [14]

Answer:

×=4.2

Step-by-step explanation:

3.5x=14.7

÷3.5 ÷3.5

x=4.2

6 0
3 years ago
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For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered fo
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Answer:

He volunteered 10 hrs 15 min on average.

Step-by-step explanation:

The first week: 8 hrs

The second week: 12 hrs

The third week: 12 hrs

The fourth week: 9 hrs

8 + 12 + 12 + 9 = 41 hrs total

41 hours/4 weeks = 10.25 hrs (10 hrs 15 min)

5 0
2 years ago
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When solving the equation x2 – 8x - 7 = 0 by completing the square, which equation
IgorLugansk [536]
<h3><u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u>:</u><u>-</u></h3>

Lets Solve

\\  \rm \longmapsto \:  {x}^{2}  - 8x - 7 = 0 \\  \\  \rm \longmapsto \:  {x}^{2}  - 8 {}^{}x = 7 \\  \\  \rm \longmapsto \: 4( {x}^{2}  - 8x) = 4 \times 7 \\  \\  \rm \longmapsto \:  {4x}^{2}  - 32x = 28 \\  \\  \rm \longmapsto \:  {(2x)}^{2}  - 2 \times 2x \times 8 = 28 \\  \\  \rm \longmapsto \: (2x) {}^{2}  - 2 \times 2x \times 8 +  {8}^{2}  = 28 +  {8}^{2}  \\  \\  \rm \longmapsto \:  {(2x - 8)}^{2}  = 64 + 28 \\  \\  \rm \longmapsto \:  {(2x - 8)}^{2}  = 92 \\  \\  \rm \longmapsto \: 2x - 8 =  \underline{ + }9.3 \\ \\  \rm \longmapsto \:2x =  8 + 9.3  \: or \: 8 - 9.3 \\ \\  \rm \longmapsto \:2x = 17.3 \:or \:  - 1.3 \\ \\  \rm \longmapsto \:2x = 17.3 \\ \\  \rm \longmapsto \:x =  \frac{17.3}{2}  \\ \\  \rm \longmapsto x = \:8.6

  • Ignore negative value
4 0
3 years ago
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