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2 years ago

The scale used on a map is 5 millimeters represents 32 kilometers. How many millimeters represent 160 kilometers?

Mathematics

1 answer:

goblinko [34]2 years ago

7 0

160/32= 5

5*5= 25 mm

25 mm <em>is how many millimeters represents the kilometers.
</em>
I hope this helps!
~kaikers

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A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The

snow_tiger [21]

Answer: the number of small boxes shipped is 14 and the number of large boxes shipped is 12.

Step-by-step explanation:

Let x represent the number of small boxes shipped and

Let y represent the number of large boxes shipped.

A total of 26 boxes of paper were shipped. This means that

x + y = 26

The volume of each small box is 7 cubic feet and the volume of each large box is 13 cubic feet. The combined volume of small and large boxes shipped is

7x + 13y = 254 - - - - - - - - - - - - - - - -1

Substituting x = 26 - y into equation 1, it becomes

7(26 - y) + 13y = 254

182 - 7y + 13y = 254

- 7y + 13y = 254 - 182

6y = 72

y = 72/6 = 12

x = 26 - y = 26 - 12

x = 14

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2 years ago

Ravi drank 24 fluid ounces of juice. How much is this in cups?

Taya2010 [7]

Answer:

24 fluid ounces would be 3 cups

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2 years ago

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Movies Unlimited charges $2 per movie plus $3 per game for rentals on Saturday’s only. If you rent 4 games and you have $20, whi

lana66690 [7]

I think you would’ve rented 4 movies and 4 games

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2 years ago

Solve the triangle A = 2 B = 9 C =8

VARVARA [1.3K]

Answer:

$\begin{gathered} A=\text{ 12}\degree \\ B=\text{ 114}\degree \\ C=54\degree \end{gathered}$

Step-by-step explanation:

To calculate the angles of the given triangle, we can use the law of cosines:

$\begin{gathered} \cos (C)=\frac{a^2+b^2-c^2}{2ab} \\ \cos (A)=\frac{b^2+c^2-a^2}{2bc} \\ \cos (B)=\frac{c^2+a^2-b^2}{2ca} \end{gathered}$

Then, given the sides a=2, b=9, and c=8.

$\begin{gathered} \cos (A)=\frac{9^2+8^2-2^2}{2\cdot9\cdot8} \\ \cos (A)=\frac{141}{144} \\ A=\cos ^{-1}(\frac{141}{144}) \\ A=11.7 \\ \text{ Rounding to the nearest degree:} \\ A=12º \end{gathered}$

For B:

$\begin{gathered} \cos (B)=\frac{8^2+2^2-9^2}{2\cdot8\cdot2} \\ \cos (B)=\frac{13}{32} \\ B=\cos ^{-1}(\frac{13}{32}) \\ B=113.9\degree \\ \text{Rounding:} \\ B=114\degree \end{gathered}$ $\begin{gathered} \cos (C)=\frac{2^2+9^2-8^2}{2\cdot2\cdot9} \\ \cos (C)=\frac{21}{36} \\ C=\cos ^{-1}(\frac{21}{36}) \\ C=54.3 \\ \text{Rounding:} \\ C=\text{ 54}\degree \end{gathered}$

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6 months ago

Sara can type 90 words in 4 minutes.About how many words would you expect her to type in 10 minutes?

Alexus [3.1K]

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You can expect her to type 225 words in 10 minutes.

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2 years ago