SAT HelpJack can paint a house in 5 days, and Richard can paint the same house in 7 days. Working together, how long will it take them to finish the job?

How do you solve this?

Answers

Answer 1
Answer: Well, their speeds are (V_1 is Jack's speed, and V_2 is Richard's.
V_1 = (1)/(5) houses/day \n V_2 = (1)/(7) houses/day \n V = V_1 + V_2 = (1)/(5)+(1)/(7) = (7+5)/(35) = (12)/(35)
They, together, can paint 12 houses in 35 days. To get a single house, we only have to calculate (35)/(12) which is very close to 3 (a bit below)
Answer 2
Answer:

Answer:

In 7*5 = 35 days, Jack can paint 7 houses.

In 5*7 = 35 days, Richard can paint 5 houses.

So in 35 days, the two of them can paint 12 houses. To paint just one house, they'll need 1/12 the time, or 35/12 = 2 11/12 days.

Step-by-step explanation:


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7.25 cm plus 7.2 cm plus 8cm equals what

A car that travels 15mi in 15min is traveling at a rate of miles per hour.

Answers

Answer:

60 miles per hour

Step-by-step explanation:

There are 60 minutes in one hour. Understanding this will allow us to solve the problem.

If a car travels 15 miles in 15 minutes, then we need to calculate how many miles they traveled in one hour or 60 minutes. 15 goes into 60, 4 times (60/15 = 4).

We can set up the proportion like this:

15 miles            x miles

________   =   __________

15 minutes       60 minutes

To find x, we just multiply 15 miles by the same amount as we did for 15 minutes, 4. 15 * 4 = 60, so the car is traveling 60 miles per hour.

The question is about calculating speed in Mathematics. Given that a car travels 15 miles in 15 minutes, converting 15 minutes to 0.25 hours, we can determine the speed by dividing distance by time. Thus, the car travels at a speed of 60 miles per hour.

The subject of this question is Mathematics, specifically focused on the concept of speed calculations. We are asked to calculate the speed of a car in miles per hour (mph), given that it traveled 15 miles in 15 minutes.

The formula to calculate speed is distance divided by time. However, we need to ensure that both measurements are in the same units. In this case, time is given in minutes but we need the speed in miles per hour (mph), so we'll need to convert minutes to hours.

As there are 60 minutes in an hour, the time of 15 minutes becomes 15 / 60 = 0.25 hours. Thus, the speed of the car is calculated as 15 miles / 0.25 hours = 60 mph.

So, a car that travels 15 miles in 15 minutes is traveling at a speed of 60 miles per hour.

Learn more about Calculating Speed

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(c) Danny also pulls two cards and says that his SUM is ZERO. What pairs of cards could Danny have pulled? List all correct answers and explain why or show your work. the cards are 1 2 3 4 5-1 -2 -3 -4 -5

Answers

-1 and 1

-2 and 2

-3 and 3

-4 and 4

-5 and 5

because when u subtract the numbers or add you will get 0

What are the solutions of the equation: z^2 - 12z + 36 = 0?  A. -6, 6
B. 6, 6
C. 6, -6
D. -6, -6

Answers

Factor by groups
(Z^2 -6z) (-6z+36)
GCF 1st binomial is z
GCF of 2nd binomial is -6
(z-6)(z-6)
Solutions
6,6

Brendon had total job benefits of $39,500 last year. He was required to wear a shirt with the company logo on it for work that he was responsible for buying. Brendon purchased 12 shirts for work during the year at a cost of $23.95 each. He was also required to attend a training at a cost to him of $135. What was Brendon’s total employment compensation last year? a. $39,077.60 b. $39,212.60 c. $39,341.05 d. $39,922.40

Answers

Answer:

a. $39,077.60

Step-by-step explanation:

We have been given that Brendon had total job benefits of $39,500 last year. Brendon purchased 12 shirts for work during the year at a cost of $23.95 each.

To find Brendon's total employment compensation, we will subtract total expenses from Brendon's total job benefits.

Let us find the cost of 12 shirts by multiplying $23.95 by 12.

\text{Amount spent on 12 shirts}=12* \$23.95

\text{Amount spent on 12 shirts}=\$287.40

To find the total expenses we will add the cost of training in cost of 12 shirts.

\text{Brendon's total expenses}=\$287.40+\$135

\text{Brendon's total expenses}=\$422.40

Let us subtract total expenses from total job benefits.

\text{Brendon’s total employment compensation last year}=\$39,500-\$422.40

\text{Brendon’s total employment compensation last year}=\$39,077.60

Therefore, Brendon’s total employment compensation last year was $39,077.60 and option 'a' is the correct choice.

39,500 - (12 * 23.95) - 135 = 39,077.60

Find the distance between each pair of points.a. √58

b. √7

c. 5

d. √5

Answers

Answer:

Distance between the points (-3,1) and (1, -2),

\sqrt{ {(1 + 3)}^(2) +  {( - 2 - 1)}^(2)  }

=  \sqrt{ {(4)}^(2) +  {( - 3)}^(2)  }

=  √(16 + 9)  =  √(25)  = 5

Option C

2x+5y=34, x+2y=14
solve the system of linear equations

Answers

x=2 and y=6   i hope this helps