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mel-nik [20]
3 years ago
14

What is an equation of the line that passes through the points (0, 3) and (5, -3)?

Mathematics
1 answer:
bixtya [17]3 years ago
6 0

Answer:

y = -6/5x + 3

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 3/ 5 - 0

= -6/5

To find the y-intercept, you need to plug the coordinates into the equation,

y = -6/5x + b

3 = -6/5(0) + b

3 = 0 + b

b = 3

The equation is y = -6/5x + 3

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Suppose one painter can paint the entire house in twelve hours, and the second painter takes eight hours to paint a similarly-si
Anton [14]
There is a formula for this:
Time = (Worker1 Time * Worker2 Time) / (Worker1 Time + Worker2 Time)

Time = (12 * 8) / (12 + 8)
Time = 96 / 20
Time = 4.8 Hours

Source:http://www.1728.org/work.htm







6 0
3 years ago
The community Relief Charity Group is earning 2.5% simple interest on the $2200 it invested in a savings account. It also earns
Over [174]

Answer:

$5,500 was invested in the insured bond fund

Step-by-step explanation:

First, let us calculate the interest earned on savings account

Simple interest = principal × rate × time

where:

principal = $2,200

rate = 2.5% = 2.5/100 = 0.025

time = 1 year

∴ simple interest = 2200 × 0.025 × 1 = $55

Total annual interest earned = interest earned from savings account + interests earned on insured bond fund = $308

∴ 308 = 55 + interests earned on insured bond fund

∴ interests earned on insured bond fund = 308 - 55 = $253

Finally, we know the simple interest earned on insured bond fund, the amount invested (principal) is calculated as follows:

simple interest = principal × rate × time

where:

simple interest = $253

rate = 4.6% = 0.046

time = 1 year

∴  253 = principal × 0.046 × 1

253 = principal × 0.046

∴principal = 253 ÷ 0.046 = 5500

Therefore $5,500 was invested in the insured bond fund

7 0
3 years ago
Tyrell exercised this week both by walking and by biking. He walked at a rate of 4 mi/h and biked at a rate of 12 mi/h. The tota
Flura [38]

Answer:

A. The equation is 4(t + 1) + 12t = 36

B. He spent 2 hours on biking and 3 hours on walking

Step-by-step explanation:

* Lets explain how to solve the problem

- Tyrell walked at a rate 4 miles per hour

∴ His speed on walking is 4 miles/hour

- Tyrell biked at rate 12 miles per hour

∴ His speed on biking is 12 miles/hour

- The total distance he covered both walking and biking was

  36 miles

- Assume that he walked x and biked y

∴ x + y = 36 ⇒ (1)

- Tyrell spent one more hour walking than biking

- Assume that he biked for t hours

∵ He walked one more hour than he biked

∵ He biked for t hours

∴ He walked for t + 1 hours

A.

∵ Distance = speed × time

∴ x = 4 × (t + 1)

∴ x = 4(t + 1)

∴ y = 12 × t

∴ y = 12t

- Substitute x and y in equation (1)

∴ 4(t + 1) + 12t = 36 ⇒ the equation

B.

* Lets solve the equation

- Multiply the bracket by 4

∴ 4t + 4 + 12t = 36

- Add like terms in left hand side

∴ (4t + 12t) + 4 = 36

∴ 16t + 4 = 36

- Subtract 4 from both sides

∴ 16t = 32

- Divide both sides by 16

∴ t = 2

∵ t represents the time of biking

∴ He biked for 2 hours

∵ t + 1 represents the time of walking

∵ t + 1 = 2 + 1  = 3

∴ He walked for 3 hours

5 0
3 years ago
1 Marlena has a bag of coins. The bag
poizon [28]

Answer:

The probability is 1/6

Step-by-step explanation:

Firstly, we need to get the total number of coins

that would be the sum of all the coins present

We have this as;

8 + 10 + 4 + 2 = 24 coins

The number of nickels is 4

So the probability of selecting a nickel is the number of nickels divided by the total number of coins

We have this as;

4/24 = 1/6

8 0
3 years ago
Solve The Math equation below
Angelina_Jolie [31]
 The Answer Is D. x=72

3 0
3 years ago
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