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Mamont248 [21]
3 years ago
8

Question is attatched

Mathematics
1 answer:
almond37 [142]3 years ago
3 0

Answer:

D

Step-by-step explanation:

If you are told that the slope is 2 that means that the equation cannot be A.

The slope is the number in front of the x. So far what you know is that

y = 2x + b

b is found from the given point.

  • x = - 8
  • y = 7
  • 7 = 2*(-8) + b                 Expand the right side
  • 7 = - 16 + b                    Add 16 to  both sides
  • 7+16 = -16 + 16 + b        
  • 23 = b

answer y = 2x + 23

The answer is D

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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 me or I’ll fail my math grade
Yuri [45]

Answer:

LMP and NMP

Step-by-step explanation:

Adjacent angles are next to each other and share a side

LMP and NMP share a side and are next to each other

4 0
3 years ago
PLEASE HELP i will give you a brainly
Lady bird [3.3K]

Answer:JKL and ∠RST are complementary.

m∠JKL = 36° and m∠RST = ( x + 15)°.

Find the value of x and the measure of ∠RST .

complementary angles are two angles whose sum is 90°

36%2Bx+%2B+15=90°

51%2Bx+=90°

x+=90-51°

x+=39°

->the measure of ∠RST== ( 39 + 15)=54°

both answer and explanation

8 0
3 years ago
Which student's work is correct? Explain please
Lunna [17]

Step-by-step explanation:

Wendy

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