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Stells [14]
2 years ago
10

Tell whether the ordered pair is a solution to the equation. Please show how you solved it.

Mathematics
2 answers:
Alina [70]2 years ago
6 0

Answer:

The ordered pair is a solution to the equation

Step-by-step explanation:

Plug the ordered pair into the equation as (x,y):

y = -x + 8

4 = -4 + 8

4 = 4

Since both sides are equal to each other, then the ordered pair is a solution to the equation.

Makovka662 [10]2 years ago
4 0

Yes, it is a solution to the equation.

Plug in the values 4, for y, and 4, for x. Since there is a negative sign next to x, it turns 4 into -4. So, the equation will look like this: 4 = -4 + 8, add 8 to -4, and you get 4. 4 = 4. 4 = 4 is a true statement, so the pair IS a solution to the equation. Hope this helps!

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Emily purchased lemons for $600. She sold 3/4 of these at a loss of 20% and the remaining at a gain of 20%. How much percent doe
MAVERICK [17]

Answer:

10%

Step-by-step explanation:

Given: CP of lemon is $600.

           3/4 of lemon sold at 20% loss

           Remaining lemon at 20% gain.

Considering the quantity of lemon remain constant.

Cost price of 3/4 of lemon= \frac{3}{4} \times 600= \$450

As given, 3/4 of lemon sold at 20% loss.

∴ Selling price of \frac{3}{4}\ of\ lemon=  450- \frac{20}{100}\times 450

Selling price= 450- 90= \$ 360

Hence, selling price of 3/4 lemon is $360.

Now, the cost price of remaining lemon (1-\frac{3}{4} )= (\$ 600-\$ 450)

∴ The cost price of \frac{1}{4}\ lemon = \$ 150

As given, remaining \frac{1}{4} lemon\ sold\ at\ gain\ of\ 20\%

∴ Selling price of \frac{1}{4} \ lemon= (150\times \frac{20}{100}+150)

Selling price of \frac{1}{4} \ of\ lemon= (30+150)

Hence, selling price of 1/4 lemon is $180

Loss\profit percent= \frac{(SP-CP)}{CP} \times 100

∴ Loss\profit percent= \frac{60}{600} \times 100= 10\%

Hence, the loss percentage is 10%

8 0
3 years ago
What is 258/300 as a percent
Step2247 [10]
To transform it into percent we want to have 100 into denominator. The easiest way is divide numerator and denominator by 3 (thats because than it doesnt change the value of fraction), so:
\frac{258}{300}= \frac{258:3}{300:3}= \frac{86}{100} = 86% - its the result
4 0
3 years ago
Read 2 more answers
a jacket originally sold for $45. this week it went on sale for 20% off. what is the discount and what is the sales price?
Strike441 [17]

Answer:

discount = 9

new price = 36

Step-by-step explanation:

The discount is the price times the discount percent

45 * 20%

Change to decimal form

45*.20

9

The new price is the original price minus the discount

45-9 = 36

4 0
3 years ago
A one-way train ticket from New York to Los Angeles costs $197 for a reclining seat, and $490 for a twin-sharing room. How much
Alex777 [14]

The total cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms is (197x + 98y) dollars

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

Given that,

Cost for reclining seat = $ 197

Cost for twin sharing room = $ 490

We have to find the cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms

<em><u>Cost for reclining room when "x" passengers booked is:</u></em>

Cost for reclining room = $ 197x

<em><u>Cost when One fifths y passengers booked twin-sharing rooms</u></em>

Cost for twin sharing room = \frac{1}{5} \times y \times 490

Cost for twin sharing room = 98y

<em><u>Total cost is given as:</u></em>

Total cost = Cost for reclining room "x" passengers + Cost for twin sharing room for one fifths y passengers

Total\ cost = 197x + 98y

Thus total cost is (197x + 98y) dollars

4 0
3 years ago
What is the approximate circumference of a circle with a radius of 6.5 meters
erastova [34]
It's about C≈40.84 m

3 0
3 years ago
Read 2 more answers
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