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insens350 [35]
3 years ago
6

What is an equation of the line that passes through the point (- 7, 0) and is parallel to the line x + y = 1

Mathematics
1 answer:
sweet [91]3 years ago
7 0

Answer:

y = -x - 7

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is x + y = 1.

First, let's put this into standard form.

x + y = 1

y = -x + 1

Now we have an equation in standard form. Its slope is -1. A line parallel to this one will also have a slope of -1.

Plug this value (-1) into your standard point-slope equation of y = mx + b.

y = -x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-7, 0). Plug in the x and y values into the x and y of the standard equation.

0 = -1(-7) + b

To find b, multiply the slope and the input of x (-7)

0 = 7 + b

Now, subtract 7 from both sides to isolate b.

-7 = b

Plug this into your standard equation.

y = -x - 7

This equation is parallel to your given equation (y = -x + 1) and contains point (-7, 0)

Hope this helps!

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Let's check each case to determine the solution to the problem.

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The cost of each flower  arrangements is \$28

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<u>case A)</u> If the price is marked down by 10 percent, the new price will be \$25.20

we know that

If the price is marked down by 10 percent

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10\%= \frac{10}{100} =0.10  

(1-0.10)*\$28=0.90*\$28 \\= \$25.20

\$25.20=\$25.20

therefore

The statement case A) is True

<u>case B)</u> If the price is marked down by 25 percent, the new price will be \$21

we know that

If the price is marked down by 25 percent

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25\%= \frac{25}{100} =0.25  

(1-0.25)*\$28=0.75*\$28 \\= \$21

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therefore

The statement case B) is True

<u>case C)</u> If the price is marked down by 50 percent, the new price will be \$19

we know that

If the price is marked down by 50 percent

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50\%= \frac{50}{100} =0.50  

(1-0.50)*\$28=0.50*\$28 \\= \$14

\$14 \neq \$19

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The statement case C) is False

<u>case D)</u> If the price is marked down by 35 percent, the new price will be \$18.20

we know that

If the price is marked down by 35 percent

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the new price will be

35\%= \frac{35}{100} =0.35  

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If the price is marked down by 40 percent

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\$16.80 \neq \$29.80

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7 0
3 years ago
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27% of the students in a school are in grade 6. This is 540 students. How many students are in the school?
Anettt [7]

There are a total of 2,000 students in the school.

1.) There are 540 students in the 6th grade. 540 is only 27% of students compared to the total. To find the total students in the whole school, we divide 540 by 27%.

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27% = .27

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Answer:

\frac{1}{4} lbs/person

Step-by-step explanation:

Here is the complete question: Find the rate of change for the situation:

A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.

Given: 1st situation, A chef cook 9 lbs chicken for 36 people.

           2nd situation, chef cook 17 lbs chicken for 68 people.

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In both the situation chef cook same amount of chicken per person, which is \frac{1}{4} lbs/ person

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