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2 years ago

What do the following two equations represent?

Mathematics

1 answer:

klio [65]2 years ago

8 0

Answer:

perpendicular lines

Step-by-step explanation:

when the two equation are written in slope intercept form:

y = -4x -7

y = 1/4x -2

the slopes are opposite reciprocals which means they are perpendicular

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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

Toni bought 5 t-shirts for 35 if each T-shirt cost the same amount .how much tony would pay for20 shirts

Sergeeva-Olga [200]

Answer: The answer is Toni can buy 20 tee shirts for 140 dollars

Step-by-step explanation:

First you find out how many times 5 can go into 20

Next you see that 5 can go into 20, 4 times so you take the 35 and multiply 4 and you get 140 so you can buy 20 tee shirts for 140 dollars.

8 0

3 years ago

The mean number of hours of study time per week for a sample of 562 students is 23. If the margin of error for the population me

Vadim26 [7]

Answer:

The 98% confidence interval for the mean number of hours of study time per week for all students is (20.9, 25.1).

Step-by-step explanation:

Confidence interval:

Sample mean plus/minus the margin of error.

In this question:

Mean of 23.

Margin of error 2.1.

Then

23 - 2.1 = 20.9

23 + 2.1 = 25.1

The 98% confidence interval for the mean number of hours of study time per week for all students is (20.9, 25.1).

3 0

2 years ago

The sale price of last year’s hottest game is 45% off the retail price. The game sold last year for $92.00. What is the sale pri

irina [24]

Answer: D $133.40

Step-by-step explanation:

SP $92.00

Discount = 45%

Sale price = 92 x 1.45 = 133.40

5 0

3 years ago

John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total

suter [353]

Answer: the equation is 1/3p-3=114

The novel has a total of 351 pages

Step-by-step explanation:

6 0

3 years ago