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3 years ago

A construction crew must build 3 miles of road in one week.

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

3 0

1/12 of the road left to build

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Nick can do a certain job in 3 hours less than it takes bonnie to do the same job. If they complete the job together in 9 hours,

il63 [147K]

Answer:

Step-by-step explanation:

Let the number of hours Nick does the job alone to be x - 3 hours

Hence, in 1 hour, Nick has done 1/x - 3

Together they complete the job in 9 hours

Hence, let's represent the job as 1

9/x + 9/x - 3 = 1

Multiply through by (x)(x-3)

9(x- 3) + 9(x) = 1

9x - 27 + 9x = (x)(x-3)

-27 = x² - 3x

x² - 3x +27 = 0

4 0

3 years ago

At the movie theatre, child admission is $5.30 and adult admission is $9.70. On Wednesday, 156 tickets were sold for a total sal

serious [3.7K]

Answer:

The number of adult tickets are 57.

Step-by-step explanation:

Given,

Total number of tickets = 156

Total money = $1077.60

Solution,

Let the number of adult be x and of child be y .

So, Total number of tickets = Number of adults + Number of child

$\therefore x+y = 156\ \ \ \ \ \ equation\ 1$

Now, according to question;

Total money = $Number\ of\ adults\times admission\ fee + Number\ of\ child\times admission\ fee$

$\therefore x\times 9.70+y\times 5.30 = 1077.60\ \ \ \ \ \ equation\ 2$

On multiplying by 10 on both side, we get;

$97x+53y=10776\ \ \ \ \ \ equation\ 3$

Now multiplying equation 1 by 53 then subtract it from equation 3, we get;

$(x+y)\times53 = 156\times53\\53x+53y=8268\\(97x+53y=10776)-(53x+53y=8268)\\44x=2508\\x=\frac{2508}{44} =57$

Since x is the number of adults,

Number of adults=57

Number of child = y = 156-57=99

Thus the number of adult tickets are 57.

7 0

3 years ago

A cooler contains 5 bottles of lemonade, 4 bottles of water, and 3 bottles of juice. Each type is equally likely to be chosen. B

-BARSIC- [3]

You need to find a number that all three of those numbers go into. They all go into 60. Then, divide 60 by three because there are three items. 60 divided by 3 is 20, which is the answer.

6 0

3 years ago

There are 15 people on a basketball team, and the coach needs to choose 5 to put into

snow_lady [41]

Answer:

The coach can do this in 3,003 ways

Step-by-step explanation:

Here, the coach needs to select a team of 5 from a total of 15 players

Mathematically, the number of ways this can be done is simply 15 C5 ways

Generally, if we are to select a number of r items from n items, this can be done in nCr ways = n!/(n-r)!r!

Applying this to the situation on ground, we have;

15C5 = 15!/(15-5)!5! = 15!/10!5! = 3,003 ways

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3 years ago

Trinity collects rainwater in a cylinder rain barrel. The area of the base of the

Fittoniya [83]

Answer:

suggestions use algebra calculator or mathaway they will help u and give you the answer

8 0

2 years ago