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vredina [299]
3 years ago
7

Part 1: Determine the slope of the line. Show the work you did to find the slope. (3 points)

Mathematics
1 answer:
katrin2010 [14]3 years ago
7 0

Answer:

\frac{2}{5}

Step-by-step explanation:

i took the points (2,1) and (4,6)

then used the slope formula which makes it

\frac{4-2}{6-1} = \frac{2}{5}

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A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an
Mkey [24]

Answer:

  • <u>120 pens and 200 pencils.</u>

<u></u>

Explanation:

You can set a system of two equations.

<u>1. Variables</u>

<u />

  • x: number of pens
  • y: number of pencils

<u>2. Cost</u>

  • <em>each pen costs</em> $1, then x pens costs: x
  • <em>each pencil costs</em> $0.5, then y pencil costs: 0.5y

  • Then, the total cost is: x + 0.5y

  • The cost of the whole purchase was $ 220, then the first equation is:

          x + 0.5y = 220 ↔ equation (1)

<u>3. </u><em><u>There were 80 more pencils than pens</u></em>

Then:

  pencils  =      80   +   pens

       ↓                               ↓

       y        =      80   +      x        ↔ equation (2)

<u>4. Solve the system</u>

i) Substitute the equation (2) into the equation (1):

  • x + 0.5(80 + x) = 220

ii) Solve

  • x + 40 + 0.5x = 220
  • 1.5x = 180
  • x = 180/1.5
  • x = 120 pens

iii) Substitute x = 120 into the equation (2)

  • y = 80 + 120
  • y = 200 pencils

Solution: 120 pens and 200 pencils ← answer

6 0
3 years ago
HELP YA GIRL PLZZZZ I WILL REWARD
Pie
The answer is true as the y value of y=sin
5 0
3 years ago
Which of the following statements are true of solving equations?
katrin2010 [14]

we will check each options

option-A:

For solving any equations , we always isolate variables on anyone side

For exp: x+7=1

so, this is TRUE

option-B:

For solving system of equations

For exp:

x-y=1

x+y=3

If we use addition , we could easily solve for x and y

so, this is TRUE

option-C:

We always solve problems using conventional method

we do not guess

so, this is  FALSE

option-D:

We often reverse order of operation

For exp:

(x-2)^2-3=0

so, this is TRUE

option-E:

For linear equations , we always get one solution , infinite solutions or no solutions

so, this is FALSE

5 0
3 years ago
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The diameter of a flour tortilla is 12 inches. What is the total area of two tortillas to the nearest hundredth?
olga2289 [7]

the diameter of two tortillas would be 6, since 12+12=24. the diameter of 24 is 6, so that would be your answer....

5 0
2 years ago
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Solve 0.5 (2x - 4) = -17 in variable ​
Marianna [84]

Answer: x = 1 + 0.5c

Step-by-step explanation:

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