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balandron [24]
3 years ago
10

Together two ferries can transport a day's cargo in 7 hours. The larger ferry can transport cargo three times faster than the sm

aller ferry. How long does it take the larger ferry to transport a day's cargo working alone?
Mathematics
1 answer:
Ksju [112]3 years ago
6 0

Answer:

9 hours, 20 minutes

Step-by-step explanation:

When two ferries work together, they transport a day's cargo in 7 hours

The speed proportion or ratio of larger ferry to smaller ferry is given as 3 : 1

The sum of the ratio = 4 (3 + 1)

This means that it will take the smaller ferry = 7 x 4 hours to work alone = 28 hours, since the larger ferry is faster by 3.

Therefore, when larger ferry works alone, it will take it (7 x 4)/3 = 9.33 hours.

9.33 hours = 9 hours, 20 minutes.

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Divide. Write your answer as a fraction in simplest form. − 7 1/0÷2/5=
forsale [732]

Answer:

-  \frac{71}{4}

Step-by-step explanation:

- 7 \frac{1}{10}   \div   \frac{2}{5}

=   - \frac{71}{10}  \times  \frac{5}{2}

=  -  \frac{71}{2}  \times  \frac{1}{2}

=  -  \frac{71}{4}

4 0
3 years ago
The price of a bag of candy is a linear function of the amount of candy in the bag. A bag containing 25 pieces costs $0.99 and a
OlgaM077 [116]

Answer:

About 152 pieces of candy

Step-by-step explanation:

Set up equal proportions to solve for the $5.99 bag.

We know that 24 pieces = .99, so

\frac{25 pieces}{.99 dollars} = \frac{x pieces}{5.99 dollars}

Make sure to keep the pieces on top, and the dollars on bottom (or vice versa). If your units are messed up, it will not work.

Cross-multiply.

25(5.99) = .99x

Simplify.

149.75 = .99x

Divide both sides by .99.

x = 151.26 = about 151 pieces of candy

7 0
3 years ago
scott started his banking account with $150 and is spending $7 per day on lunch. this situation models which type of function ​
Zina [86]

Answer:

linear function:  y = -7x + 150

Step-by-step explanation:

Scott's situation represents a linear function because he is spending $7 each day on lunch.  His initial amount in his bank account is $150 and each day he spends the same rate on lunch, $7.  So, for any amount of days - represented by 'x' in the equation, you would multiply by -7 (since he is spending) and subtract this amount from his original amount of $150.  In this equation, 'y' is equal to his total after 'x' amount of days.  

7 0
4 years ago
Does anyone know <br> 2x=8y=7<br> 4x-2y=9
Fantom [35]
Assuming you mean 2x-8y=7, we can start by multiplying the first equation by -2 and adding it to the second (to cross out the x), resulting in -18y=-5. After that, we can divide both sides by -18, resulting in y=5/18. Next, plugging that into 4x-2y=9, we have 4x-10/18=9. Adding 10/18 to both sides, we get 4x=9+10/18. After that, we can divide both sides by 4, resulting in x=(9+10/18)/4=
5 0
3 years ago
A newspaper article indicated that 43 percent of cars with black seats are white, 46 percent of cars with black seats are blue,
Andrews [41]

Answer:

C) P (X2 ≤ 8.2) = 0.96

Step-by-step explanation:

P value for the test is the probability of obtaining results that have been observed in the null hypothesis statement. A very small value of p indicates that there is unlikely chance of null hypothesis being true which means that we cannot accept null hypothesis based on the small p value.

4 0
3 years ago
Read 2 more answers
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