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Phoenix [80]
3 years ago
11

Working alone, Jack can do a puzzle in 5 hours. With his brother's help, the two can do the same puzzle in 2 hours.

Mathematics
1 answer:
AysviL [449]3 years ago
6 0

Answer:

3 hours and 20 minutes

Step-by-step explanation:

Jack's rate is 1 puzzle for every 5 hours, so his rate per hour is 1/5 of a puzzle per hour.

We need to find the rate of his brother so here is our equation,

1/5 + 1/x = 1/2

1/2 - 1/5 =1/x

3/10 = 1/x

3/ 3x = 3/10

3x=10

x= 3 and 1/3 hours

3 hours and 20 minutes

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A refrigerator costs $1200 wholesale. If the mark-up on the refrigerator is 20%, what is the new price?
shutvik [7]

Answer:

The answer is $960


20% of $1200 is $240

So $1200 - $240 = $960

8 0
2 years ago
2/3+1/6???????????????????
kupik [55]

Answer:

5/6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The dye dilution method is used to measure cardiac output with 3 mg of dye. The dye concentrations, in mg/L, are modeled by c(t)
Lemur [1.5K]

Answer:

Cardiac output:F=0.055 L\s

Step-by-step explanation:

Given : The dye dilution method is used to measure cardiac output with 3 mg of dye.

To Find : Find the cardiac output.

Solution:

Formula of cardiac output:F=\frac{A}{\int\limits^T_0 {c(t)} \, dt} ---1

A = 3 mg

\int\limits^T_0 {c(t)} \, dt =\int\limits^{10}_0 {20te^{-0.06t}} \, dt

Do, integration by parts

[\int{20te^{-0.6t}} \, dt]^{10}_0=[20t\int{e^{-0.6t} \,dt}-\int[\frac{d[20t]}{dt}\int {e^{-0.6t} \, dt]dt]^{10}_0

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20}{0.6}\int {e^{-0.6t} \,dt]^{10}_0

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20e^{-0.6t}}{(0.6)^2}]^{10}_{0}

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-200e^{-6}}{0.6}+\frac{20e^{-6}}{(0.6)^2}]+\frac{20}{(0.60^2}

[\int{20te^{-0.6t}} \, dt]^{10}_0=\frac{20(1-e^{-6}}{(0.6)^2}-\frac{200e^{-6}}{0.6}

[\int{20te^{-0.6t}} \, dt]^{10}_0\sim {54.49}

Substitute the value in 1

Cardiac output:F=\frac{3}{54.49}

Cardiac output:F=0.055 L\s

Hence Cardiac output:F=0.055 L\s

4 0
2 years ago
Liz earns a salary of $2,100 per month, plus a commission of 5% of her sales. She wants to earn at least $2,400 this month. How
Nookie1986 [14]
Hello! She earns a salary of $2,100, which is the fixed amount each month, plus 5% commission on her sales. To find out the amount of sales that will help her reach her goal, set up the inequality like this:

2,100 + 0.05x ≥ 2,400

We set it up like this, because $2,100 is the one-time price per month, and she earns 5% of her sales as commission. Plus, the key words "at least" means the inequality sign is greater than or equal to (≥)

How to solve this:

First off, subtract 2,100 from both sides, when you do, you get 0.05x ≥ 300. Now, divide each side by 0.05 to isolate the "x". 300/0.05 is 6,000. Let's check this. 6,000 * 5% (0.05) is 300. There. x = 6,000. Liz will need to sell $6,000 worth of items this month in order to meet her goal.
7 0
3 years ago
Madison wants to order t-shirts for the university which consists of about 12000 students. she takes a random sample to figure o
earnstyle [38]

Answer:

She should order a total of 5,160 medium sized t-shirts

Step-by-step explanation:

To calculate the number of medium sized t-shirt to be ordered, we shall be using the proportion of students that wanted medium sized t-shirt in her survey to multiply the total number of students that we have.

From the question, we can identify that the probability that a student will like a medium sized t-shirt is simply 129/300

Now we have about 12000 students in the University, using the probability from the survey, the number of medium sized t shirt she should order would be;

129/300 * 12,000 = 129 * 40 = 5,160 medium sized t-shirts

8 0
3 years ago
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