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finlep [7]
3 years ago
15

What is the solution of the systems of equations y=-3x-3 and y=-0.5x+2?

Mathematics
1 answer:
Leto [7]3 years ago
4 0

This is two lines in slope intercept form and we want their intersection.  We just set the ys equal.

-3x - 3 = (-1/2)x + 2

Multiply both sides by 2 to clear the fractions,

-6x - 6 = -x + 4

-10 = 5x

x = -10/5 = -2

y = -3x - 3 = -3 (-2) - 3 = 6 - 3 = 3

Check:

y = (-1/2)x + 2 = (-1/2)(-2) + 2 = 1 + 2 = 3, good

Answer: x=-2, y=3

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Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil. What would one pencil and one
vladimir2022 [97]

It is given in the question that

Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil.

Let the cost of pencil is $ x .

Therefore cost of pen is

$(x+0.40)

According to the question

12(x+0.40)+20x =16

Distributing 12 and combining like terms, we will get

12x+4.8+20x=16\\32x = 11.2\\x = 0.35

Therefore cost of pencil is $0.35 and cost of pen is

0.35+0.40=0.75

3 0
3 years ago
taras car accelerated from 10 miles per hour to 70 miles per hour in 12 seconds. what is the approximate rate of change in the m
Rina8888 [55]

Answer:

60 mph

Step-by-step explanation:

70 - 10 = 60 miles per hour

5 0
3 years ago
HELP ASAP PLEASE I DONT WANT TO FAIL
Alla [95]

Answer:

$226.57

Step-by-step explanation:

4 0
3 years ago
A sum of money is divided amongst Farah, Shaiyara and Zahin in the ratio 10: 7: 5. If
r-ruslan [8.4K]

Answers:

  • Total amount of money =  220 dollars
  • Amount Farah gets = 100 dollars

==========================================================

Explanation:

  • F = amount Farah gets
  • S = amount Shaiyara gets
  • Z = amount Zahin gets

The money is divided in the ratio 10:7:5

This means that

  • F = 10x
  • S = 7x
  • Z = 5x

for some positive real number x.

Since Shaiyara gets $20 more than Zahin, we can say,

S = Z+20

Let's plug in S = 7x and Z = 5x and solve for x

S = Z+20

7x = 5x+20

7x-5x = 20

2x = 20

x = 20/2

x = 10

Therefore,

  • F = 10x = 10*10 = 100
  • S = 7x = 7*10 = 70
  • Z = 5x = 5*10 = 50

The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.

The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.

6 0
3 years ago
In △ABC, AB=9.2 ft, BC=11.9 ft, and m∠B=27°.
Rashid [163]
Area of triangle = 1/2 ab sin c
Area of triangle = 1/2 (9.2)(11.9) sin (27)
Area of triangle = 24.85 ft²

-----------------------------------------------------------------------
Answer: Area - 24.85 ft²
-----------------------------------------------------------------------
3 0
4 years ago
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