What is the distance between -3 and 2 on the number line? O-5 O-1 O- 1 05

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

Find 6 rational numbers between -2/3 and 1/2?

a_sh-v [17]

Answer:

-3/6 -2/6 -1/6 0/6 1/6 2/6

4 0

3 years ago

Factor completely. x2+7x−18 Answer now PLZZZZZ

zimovet [89]

Answer: ( − 2) ( + 9)

4 0

3 years ago

Use the laws of Sines and law of cosines to find missing dimensions

Andrei [34K]

Answer:

A) ERROR

B) ∠C = 26°

Step-by-step explanation:

Houston, We have a problem!!! too much information

If we had a legit triangle, the law of sines would hold

19/sin138 = 8/sin20

28.395 = 23.390

as this is NOT an equality, the triangle does not exist as described.

IF it did, we'd get different results depending on which set we used

∠F = 180 - 138 - 20 = 22°

Law of sines

19/sin138 = DE/sin22 ⇒ DE = 19sin22/sin138 = 10.63697...

or

8/sin20 = DE/sin22 ⇒ DE = 8sin22/sin20 = 8.762211...

If we attempt to use Law of cosines

DE² = 19² + 8² - 2(19)(8)cos22 = 11.9639...

so really none is correct because we attempt to use trig calculations to a non-triangle.

12) AC² = 15² + 19² - 2(15)(19)cos120

AC = 29.51270...

29.51270 / sin120 = 15/sinC

C = arcsin(15sin120/29.51270) = 26.1142... 26°

6 0

3 years ago

Read 2 more answers

Find the value of k so that the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.

guajiro [1.7K]

the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.

We find the slope of parallel line using two given points

(5, -8) and (2, 4)

Slope formula is

$slope = \frac{y_2-y_1}{x_2-x_1}$

$slope = \frac{4-(-8)}{2-5}$

$slope = \frac{12)}{-3}=-4$

so slope = -4

Slope of any two parallel lines are always equal

Lets find the slope of the equation 13y + kx = 4

Subtract kx on both sides

13 y = -kx + 4

Divide both sides by 13

$y= \frac{-kx}{13} + \frac{4}{13}$

Now slope = -k/13

We know slope of parallel lines are same

So the slope of 13y + kx = 4 is also -4

Hence we equation the slope and find out k

$\frac{-k}{13}=-4$

Multiply by 13 on both sides and divide by -1

k = 52

the value of k = 52

4 0

3 years ago

Read 2 more answers