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Vladimir [108]
3 years ago
5

write an equation of a line that is parallel to the line whose equation is 3x +7 =2x and passes throughout the point (2,6)

Mathematics
1 answer:
LiRa [457]3 years ago
4 0

Answer:

x = 2

Step-by-step explanation:

3x + 7 = 2x .... subtract 2x each side

x + 7 = 0

x = -7

this is a line parallel to y axis

therefore a line parallel to it and pass point (2,6) is x = 2

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A taxi driver had 27 fares to and from the airport last Monday. The price for a ride to the airport is $14, and the price for a
OLga [1]

Answer:

(15, 12)

Step-by-step explanation:

Let's generate two systems of equations that fit this scenario.

Number of trips to the airport = x

Number of trips from the airport = y

Total number of trips to and from the airport = 27

Thus:

x + y = 27 => equation 1.

Total price for trips to the Airport = 14*x = 14x

Total price of trips from the airport = 7*y = 7y

Total collected for the day = $294

Thus:

14x + 7y = 294 => equation 2.

Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.

7 × x + y = 27

1 × 14x + 7y = 294

Thus:

7x + 7y = 189 => equation 3

14x + 7y = 294 => equation 4

Subtract equation 4 from equation 3

-7x = -105

Divide both sides by -7

x = 15

Substitute x = 15 in equation 1

x + y = 27

15 + y = 27

Subtract both sides by 15

y = 27 - 15

y = 12

The ordered pair would be (15, 12)

7 0
3 years ago
You spent 1/2 of your money at the theater and 1/4 at an arcade. you have $17.50 left. How much money did you originally have?
4vir4ik [10]
You basically add 17.50+17.50=35 and add 35+35=70, reason being is because the 35 is the 1/2 and 17.50 is the 1/4 so 70 is your answer
6 0
3 years ago
Read 2 more answers
4. Entomologists introduce 20 of one
Lina20 [59]

Answer:

This number can be found using the Rule of 70, which describes the formula dt = 70 / r, where dt is the doubling time, and r is the annual rate of growth.

Step-by-step explanation:

24/6 = 4

20 x 2 = 40 x 2 = 80 x 2 = 160 x 2 = 320

20 ---> 320 in the first day.

Keep doing this equation. Multiply each day's end result by 2 four times for 9 more days.

8 0
3 years ago
How to find a slope
exis [7]

Answer:

Step-by-step explanation:

y₂₋y₁ / x₂-x₁   if you have two points you can plug them in and find the slope using this.

If it is on a graph you can look at two points and count the rise over run, for example if one point is (0, 0) and another is (2, 3) then from the first point it goes up 2 and over 3, so the slope would be 2/3

5 0
3 years ago
ANSWER BOTH!!!
brilliants [131]

Answer:

  • A = $52.00
  • B = $6.30

Step-by-step explanation:

<h3>A. How much Bill paid AFTER the discount.</h3>

Step 1: Convert the discounted percent to decimal

20% = 0.2

Step 2: Multiply the discount to the item regularly priced

0.2(65.00) = 13

So, Bill received a $13 discount, therefore, the amount he paid AFTER his discount is:

Step 3: Subtract the result (the discount Bill received) from the regular price

$65.00 - $13.00= $52.00

Therefore, Bill paid $52.00

<h3>B.  The price of the pillow in the department store.</h3>

Step 1: Multiply the wholesale price for a pillow by the marked-up the wholesale price

$4.50 × 40% = 1.8

  • Set up a fraction

\frac{4.50}{x}=\frac{100\%}{40\%}

  • The reciprocal of both sides gives

\frac{x}{4.50}=\frac{40}{100}

x = 1.8

Step 2: Add the result to the wholesale price for the pillow

4.50 + 1.8 = $6.3

Step 3: Round to the nearest cent

Add a zero behind the result = 6.30

Therefore, the price of the pillow in the department store is $6.30

7 0
2 years ago
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