3 less than the quotient of 20 and x

Mike works in a toy store. One week, he worked 38 hours and made $220. The next week, he received a raise, so when he worked 30

garik1379 [7]

Answer:

$0.21

Step-by-step explanation:

Let x be the amount of money earned per hour before raise and y be amount of money earned per hour after raise.

We have been given that before raise he worked 38 hours and earned $220. We can represent this information as: $38x=220$

We are also told that the next week, he received a raise. After raise he worked 30 hours and made $180. We can represent this information as: $30y=180$ .

Let us solve for x and y.

$x=\frac{220}{38}$

$x=5.7894736842105263$

Therefore, before raise Mike earned $5.7894 per hour.

$y=\frac{180}{30}$

$y=6$

Therefore, after raise Mike earned $6 per hour.

Now let us subtract 5.7894 from 6 to find Mike's raise.

$\text{Amount of raise}=6-5.7894$

$\text{Amount of raise}=0.2106\approx 0.21$

Therefore, amount of Mike's raise to the nearest cent is $0.21.

8 0

4 years ago

Find the volume of given prism round to the nearest tenth necessary.

atroni [7]

First, find the area of the base (the triangle) and then multiply it by the height

to find the area of the triangle you need to know the height. cut the triangle in half and you get a right triangle, from there you can use the Pythagorean theorem. remember since you cut the triangle in half you have to divide one of the sides by 2

a^2 + b^2 = c^2 (plug in known information)
a^2 + (7.5)^2 = (15)^2 (solve, first solve the exponents)
a^2 + 56.25 = 225 (subtract 56.25 on both sides)
a^2 = 168.75 (solve for a, put 168.75 under the square root)

then once you find the area multiply by the known height

7 0

3 years ago

Who can answer my question in square LMNO find the length of LM

AlexFokin [52]

Answer:

10 units

Step-by-step explanation:

LMNO is a square.

All sides of square are equal

MN = LM

3x + 1 = x + 7

3x - x = 7 - 1

2x = 6

x = 6/2

x = 3

LM = x + 7 = 3 + 7 = 10

LM = 10 units

8 0

3 years ago

one of the four gas stations located at a major intersection of two major roads is a Texaco station. Suppose the next six cars t

Snezhnost [94]

Answer:

A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center is

located at (15,2) and the Bus Station is located at (5,-10).

The Train Station is located at point?Texaco station. Suppose the next six cars that stop at any of these four station make their selection randomly and independently. Is x a discrete or a continuous random variable?. Explain what are the poss

3 0

3 years ago

Pls help me solve this

sammy [17]

Answer:

4 kg of sugar would contain $1.2 \times 10^9$ crystals.