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zepelin [54]
3 years ago
5

Lukas is packing boxes of food for a homeless shelter. He has rice and cans that he is packing into the boxes. He packs 3 carton

s of rice and some cans into each box. At the end of the day, he has packed 72 items total into 8 boxes. How many cans did he pack into each box?
Write an equation for your answer.
Mathematics
1 answer:
fgiga [73]3 years ago
3 0

Answer:

9 cans per box

Step-by-step explanation:

72/8 = 9

...

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3. If triangle ABC has the following measurements, find the measure of angle A.
klio [65]

9514 1404 393

Answer:

  (a)  42.3°

Step-by-step explanation:

Side 'a' is the shortest of three unequal sides, so angle A will be the smallest angle in the triangle. Its measure can be found from the Law of Cosines.

  a² = b² +c² -2bc·cos(A)

  cos(A) = (b² +c² -a²)/(2bc) = (21² +25² -17²)/(2·21·25) = 777/1050

  A = arccos(777/1050) ≈ 42.3°

The measure of angle A is about 42.3°.

_____

<u><em>Additional comment</em></u>

The smallest angle in a triangle can never be greater than 60°. This lets you eliminate choices that exceed that value.

5 0
3 years ago
Look at the attachment please!
Tju [1.3M]

See the attached picture:

7 0
3 years ago
Drag the tiles to the boxes to form correct pairs. Match each mixed number to its equivalent decimal number.
zysi [14]

Answer:

20 3/4 is to 20.75

20 1/5 is to 20.2

20 7/8 is to 20.875

and 20 4/5 is to 20.8

5 0
3 years ago
Darren spent 4 /2 hours on his homework on Monday. On Tuesday, he spent 2 31shours on his
guapka [62]

Answer: 4 hours 31 min

Step-by-step explanation: first you need to simplify or solve 4/2 which is 2 because 4 divided by 2 is 2 and on Tuesday he spent 2 hours and 31 min no simply add 2 hours plus 2 hours and 31 min which gives you 4 hours and 31 min

3 0
4 years ago
Wich expression best estimates - 18 1/4 divided by 2 2/3
yKpoI14uk [10]

-18/3

18/(-3)

<h2>Explanation:</h2>

The complete question is as follows:

________________________________________________

Which expression best estimates -18 1/4 divided by 2 2/3?

18/3

-18/3

-18/(-3)

18/(-3)

________________________________________________

So in this exercise, we have two mixed fractions. This type of fractions comes from the combination of a whole number and a proper fraction fraction (numerator less than denominator). In order to solve this problem, we need to transform these mixed fractions into improper fractions (numerator greater than denominator). So:

-18 \frac{1}{4}=-\left(18+\frac{1}{4}\right) \\ \\ Cross \ Multiplication\  -\left(\frac{18\times4+1}{4}\right) \\ \\ Solving \ numerator \ -\frac{72+1}{4} \\ \\ Simplifying \ -\frac{73}{4}

2 \frac{2}{3}=2+\frac{2}{3} \\ \\ Cross \ Multiplication\  \frac{2\times 3+2}{3} \\ \\ Solving \ numerator \ \frac{6+2}{3} \\ \\ Simplifying \ \frac{8}{3}

By dividing:

\frac{-\frac{73}{4}}{\frac{8}{3}} \\ \\ It's \ the \ same \ as: \\ \\ -\frac{73\times 3}{8\times 4}=-\frac{219}{32} \approx -6.84

<em>So the expressions that best estimates -18 1/4 divided by 2 2/3 are:</em>

<em>-18/3 </em>

<em>18/(-3)</em>

<em>Whose value in decimal form is -6.0</em>

<h2 /><h2>Learn more:</h2>

Estimate the distance between cities: brainly.com/question/12062666

#LearnWithBrainly

7 0
3 years ago
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