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Naya [18.7K]
3 years ago
7

Sean's mom asks him how long his homework will take. He tells her that he needs to read for 25 minutes and also do some math pro

blems that will take mm minutes. All together, his homework will take h minutes. Write an equation for the number of minutes Sean's homework will take h , if his math problems take m minutes.
Mathematics
1 answer:
babunello [35]3 years ago
6 0

Answer:

h = m + 25

Step-by-step explanation:

Total number of minutes for homework. h

Math problems will take m minutes.

He needs to read for 25 minutes.

h = m + 25


YAY!!! u got it!!! =)

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Two cars leave towns 760 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hou
zaharov [31]

Answer:

89 km/hr

Step-by-step explanation:

Distance = Rate(speed) × Time

D = R × T

T = 4 hours

One car's rate is 12 kilometers per hour less than the other's.

Hence:

First's car's rate = r × 4 = 4r

Second car's distance = (r + 12) × 4 = 4r + 48

4r + 4r + 48 = 760

8r + 48 = 760

8r = 760 - 48

8r = 712

r = 712/8

r = 89 km/hr

The rate of the slower car is 89 km/hr

3 0
2 years ago
Is Claire has a half a gallon of milk left in the fridge and she wants to drink 10 ounces of milk a day how many days of milk do
Airida [17]
6.4 days will how long the half gallon of milk will last.
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2 years ago
Use compatible numbers to estimate the quotient.<br> 486/6
Sladkaya [172]
The answer is 81. You just have to do the division in the traditional way.

8 0
3 years ago
George is comparing two different phones. The screen of phone A has a width of 5.3 cm. The width of the screen on phone B
bija089 [108]

Answer:

To answer this question, you need to makes the unit of the smartphone screen same. In this case, phone A is using decimal and phone B is using a fraction. You can use which was easier.

Let's try to use decimal. Then you need to convert phone B fraction width into decimal width. The calculation would be: 5cm + 1/3cm= 5 cm + 0.333cm= 5.333cm

From here it clear that phone B has a wider screen than phone A.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d
aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

<h3 /><h3>Step 1</h3>

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

f(t)=\left \{ {{0 ,\-t

Consider the second function:

f(t)=\frac{e^{-t/\mu}}{\mu}\\

Where Average waiting time = μ = 2.5

The function f(t) becomes

f(t)=0.4e^{-0.4t}

<h3>Step 2</h3>

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt

which is equal to 0.01

<h3>Step 3</h3>

Solve the equation for x

\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01

Take natural log on both sides

ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

3 0
2 years ago
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