What is y equals negative three fourths plus two equal

After 8/15 of an hour, Jane has completed painting 3/5 of the wall. At this rate, how much of the wall will she finish painting

LuckyWell [14K]

Answer:

Step-by-step explanation:

Find the unit rate for this painting:

3/5 of wall surface 3/5 15 9

------------------------------- = --------------- * --------- = -----------

(8/15) hour 8/15 15 8

Jane could actually paint the whole wall plus 1/8 more of it in one hour.

5 0

3 years ago

The cost C (in dollars) to participate in a ski club is given by the literal equation C=85x+60, where X=C/85-12/17 is the number

dybincka [34]

Given:

The cost C (in dollars) to participate in a ski club is given by,

$\begin{gathered} C=85x+60 \\ (or) \\ x=\frac{C}{85}-\frac{12}{17} \end{gathered}$

Where x is the number of ski trips we take.

To find:

The number of ski trips when a total cost of $315 and $485 is spent.

Explanation:

Substituting C = 315 in the given equation we get,

$\begin{gathered} x=\frac{315}{85}-\frac{12}{17} \\ x=\frac{315-60}{85} \\ x=\frac{255}{85} \\ x=3\text{ ski trips} \end{gathered}$

Substituting C = 485 in the given equation we get,

$\begin{gathered} x=\frac{485}{85}-\frac{12}{17} \\ x=\frac{485-60}{85} \\ x=\frac{425}{85} \\ x=5\text{ ski trips} \end{gathered}$

Thus,

If we spend a total cost of $315, we can take 3 ski trips.

If we spend a total cost of $485, we can take 5 ski trips.

Final answer:

• If we spend a total cost of $315, we can take 3 ski trips.

,

• If we spend a total cost of $485, we can take 5 ski trips.

8 0

1 year ago

Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall. He

kotegsom [21]

Answer:

He would need to climb 480.97 m

Explanation:

The ground, the plane to climb and the altitude (100 m) all form a right-angled triangle

Therefore, we can apply the special trig functions.

These functions are as follows:

sin(θ) = $\frac{opposite}{hypotenuse}$

cos(θ) = $\frac{adjacent}{hypotenuse}$

tan(θ) = $\frac{opposite}{adjacent}$

From the diagram, we have:

θ = 12°

The distance that he needs to climb is the hypotenuse

The altitude = 100 m is the opposite

Therefore, we can use the sin function as follows:

sin(12°) = $\frac{100}{hypotenuse}$

hypotenuse = $\frac{100}{sin(12)}$

hypotenuse = 480.97 meters to the nearest hundredth

Therefore, he would need to climb 480.97 meters

Hope this helps :)

5 0

3 years ago

Read 2 more answers

To determine what percentage of 376 teachers at a university were female, Ryan randomly selected 14 teachers. He then collected

Kipish [7]

Answer:

a)There are 14 teachers in Ryan's sample, and 362 teachers in the population.

Step-by-step explanation:

Population:-

The totality of observations with which we are concerned, whether this number be finite or infinite is called population.

Given data population is 376 teachers at a university were female'

Sample:-

A sample is a subset of a Population

sample of given data = 14teachers

The percentage of 376 teachers at a university were female, Ryan randomly selected 14 teachers.

$p = \frac{14}{376} = 0.0372$ = 3.72%

6 0

4 years ago

4,000,000,000,000 in scientific notation

Tems11 [23]

4 x 10^12 is 4000000000000 in scientific notation. The decimal needed to move 12 places to the left.

3 0

3 years ago