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patriot [66]
3 years ago
8

Find the ordered pair solution of y = (2/5)x + 2 corresponding to -5

Mathematics
1 answer:
jeka943 years ago
6 0

The ordered pair solution of y = (2/5)x + 2 corresponding to -5 is (x, y) = (-5, 0)

<em><u>Solution:</u></em>

Given that we have to find the ordered pair solution of y = \frac{2}{5}x + 2 corresponding to -5

Let us find the ordered pair corresponding x = -5

Ordered pairs are often used to represent two variables

The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate

Substitute x = - 5 into the function and evaluate for y

y = \frac{2}{5}x + 2\\\\y = \frac{2}{5}(-5) + 2\\\\y = 2(-1) + 2\\\\y = -2 + 2\\\\y = 0

Therefore the ordered pair is x = -5 and y = 0 which is (x, y) = (-5, 0)

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A tenant rented a store to use as a real estate school at a base rent of $1,500 a month. Additionally, the tenant agreed to pay
allsm [11]

Answer:

3. $600,000

Step-by-step explanation:

We have been given that a tenant rented a store to use as a real estate school at a base rent of $1,500 a month. Additionally, the tenant agreed to pay 3% of gross annual sales over $200,000.

Let us find base annual rent.

\text{Base annual rent}=\$1500\times 12\\\\ \text{Base annual rent}=\$18,000

Let us find the amount of rent paid as 3% of gross annual sales.

\$30,000-\$18,000=\$12,000

Let us find amount of sales over $200,000 by dividing $12000 by 3% or 0.03.

\frac{\$12,000}{0.03}=\$400,000

Total sales would be $400,000 plus $200,000.

\text{Total sales}=\$400,000+\$200,000\\\\ \text{Total sales}=\$600,000

Therefore, the total sales for that year was $600,000 and 3rd option is the correct choice.

7 0
3 years ago
Circle R has a radius of 6 inches. Points S, T, and U lie on circle R, clockwise in alphabetical order. If m∠TRS = 98°, what is
Alecsey [184]
<span>You are given circle R that has a radius of 6 inches. And then you are given points S, T, and U that lie on circle R, clockwise in alphabetical order. Also you are given m∠TRS = 98°and you are asked to find the m∠TUS. To solve this, you have to draw the circle first.

Draw a circle with R being a point at the center of it. Then place the points S, T and U around the circle. So that would mean any point, S, T and U that connects on R would have a value of 6 inches. Also, these are your radius.

You also know that m</span>∠TRS = 98°. You know that the circle, if you will base your angle from the center or its interior angle is just equal to 360°. To get the m∠TUS, subtract 360 to 98.

360° - 98° = 262°
therefore, m∠TUS is 262°
6 0
3 years ago
Read 2 more answers
A bicycle wheel has a circumference of 62 inches. Find the diameter of the wheel. If necessary, round to the tenths place. A. 39
san4es73 [151]

Answer:

The answer to your question is        diameter  = 19.7 in

Step-by-step explanation:

Data

Circumference = 62 in

diameter = ?

Process

1.- Write the formula of Circumference, remember that circumference = perimeter.

    Perimeter = 2πr

2.- Equal the equation to the value given

                        2πr = 62

-Solve it for r

                            r = 62/2(3.14)

-Result

                           r = 62/6.28

                           r = 9.87 in

3.- Find the diameter

             diameter = 2r

             diameter = 2(9.87)

             diameter  = 19.7 in

4 0
3 years ago
Read 2 more answers
NEED HELP ASAP! WILL MARK BRAINLIEST!
snow_tiger [21]
The answer would be 30 since for 180 pounds and 60 feet you would need to divide 180 by 60 to get the unit rate for the pressure and then multiply by 10 which would get you 30. Correct me if I’m wrong. Hope it helps :)
3 0
2 years ago
In circle D with m \angle CDE= 122m∠CDE=122 and CD=6CD=6 units, find the length of arc CE. Round to the nearest hundredth.
antoniya [11.8K]

Answer:

12.78 units

Step-by-step explanation:

The formula for arc length =

2πr × θ/360

From the question:

θ = 122°

r = 6 units

Therefore, the arc length =

2 × π × 6 × (122/360)

= 12.775810125 units

Approximately to the nearest hundredth = 12.78 units

Therefore, the length of arc CE is 12.78 units

3 0
2 years ago
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