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3 years ago

The distance between two towns is 120 kilometers. There are approximately 8 kilometers in 5 miles.

Mathematics

1 answer:

Svetlanka [38]3 years ago

4 0

Answer= 75 miles

Explanation: 120 divided by 8= 15

15 times 5= 75

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Garrett and Carter went to the movies last weekend. Together they bought 2 drinks and 2 popcorns. They spent a total of $12.50.

-BARSIC- [3]

The cost of one drink is $2.50 and cost of one popcorn is $3.75

<u><em>Explanation</em></u>

Suppose, the cost of one drink is $x$ dollar and cost of one popcorn is $y$ dollar.

Given that, total cost for 2 drinks and 2 popcorns is $12.50 and total cost for 6 drinks and 5 popcorns is $33.75

So, the system of equations will be......

$2x+2y=12.50 ..................................... (1)\\ \\ 6x+5y= 33.75 ..................................... (2)$

Multiplying equation (1) by -3 , we will get.....

$-3(2x+2y)=-3(12.50)\\ \\ -6x-6y=-37.50 ..................................... (3)$

Now, adding equation (2) and equation (3) , we will get ............

$5y-6y=33.75-37.50\\ \\ -y=-3.75\\ \\ y=3.75$

Plugging this $y=3.75$ into equation (1) ......

$2x+2(3.75)=12.50\\ \\ 2x+7.50=12.50\\ \\ 2x=12.50-7.50=5\\ \\ x=\frac{5}{2}=2.50$

So, the cost of one drink is $2.50 and cost of one popcorn is $3.75

6 0

3 years ago

Simplify 9^{2} / 9^{7}

monitta

It is 2/18 I hope I can help

8 0

3 years ago

A shark is swimming 28 ft below sea level. If the angle of depression from a boat on the water to the shark is 19 degrees, what

Orlov [11]

Answer:

81,3 ft to the nearest tenth.

Step-by-step explanation:

Tan 19 = 28 / h where h = the horizontal distance.

h = 28 / tan 19

h = 81.3 ft.

3 0

3 years ago

The mathematics department of a college has 6 male professors, 9 female professors, 5 male teaching assistants, and 6 female tea

Hitman42 [59]

Given:

6 male professores

9 female professores

5 male teaching assistants

6 female teaching assistants

Sol:.

$N(A\text{ or B)=N(A)+N(B)-N(A and B)}$

N (professors)

$\begin{gathered} =6+9 \\ =15 \end{gathered}$

N(Male)

$\begin{gathered} =6+5 \\ =11 \end{gathered}$

N(professors and male)

$=6$

N(professors OR male) = N(professors) + N(males) -N(professor OR male)

$\begin{gathered} N(\text{ Professors OR male)=15+11-6} \\ =20 \end{gathered}$

N(People to choose from)

$\begin{gathered} =6+9+5+6 \\ =26 \end{gathered}$

Then probablitiy is:

$\begin{gathered} =\frac{20}{26} \\ =\frac{10}{13} \end{gathered}$

Then the probability is 10/13

6 0

1 year ago

Is it anyone up here that can help me with this question please anyone please

pentagon [3]

I'm going to guess B but I'm not sure

6 0

3 years ago