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Law Incorporation [45]
4 years ago
14

Perform the operations and write the answer in simplest form 2 2/5 + 3 1/4

Mathematics
1 answer:
iragen [17]4 years ago
5 0

Answer: 2 2/3


Step-by-step explanation:

we have to turn this into a improper fractions first (so its something like a bobble-head)

(2 2/5) 5 x 2 = 10 + 2 = 11/5

(3 1/4) 3 x 4 = 12 + 1 = 13/4

Then add those two.

11/5 + 13/4

11 + 13 = 24

5 + 4 = 9

 so now its time to put it in simplest form 8/3

Now 8 divided by 3...BUT WAIT...3 can't go into 8

Now we turn it into a Mixed Number 2 2/3

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Which of the following measures is equivalent to 3,300 grams? (I have to show my work.)
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Answer:

C. 3.3 kg.

Step-by-step explanation:

There are 1000 grams in a kilogram.

So 3,000 g = 3300/1000

= 3.3 kg.

3 0
2 years ago
Read 2 more answers
Help me pls<br><br>if you write a wrong answer you will be reported by the app.
kirza4 [7]

The complete proof of the theorem is

Statements                                     Reasons

1. <u>p||q </u>                                               1. Given

2. ∠1≅∠3                                         2. <u>Alternate interior angles theorem</u>

3. <u>∠1≅∠3</u>                                        3. Definition of congruent angles

4. <u>∠3 + ∠2 ≅ 180°  </u>                        4. Definition of linear pair

5. m∠3 + m∠2 = 180°                      5. <u>Linear pair theorem</u>

6. <u>m∠1 + m∠2 = 180°</u>                     6. Substitution prop. of equality

7. ∠1 and ∠2 are supplementary  7. <u>Consecutive interior angles theorem</u>

<h3>Proof of Angle theorems</h3>

From the question, we are to complete the given proof

The proof is completed as shown below

Statements                                     Reasons

1. <u>p||q </u>                                               1. Given

2. ∠1≅∠3                                         2. <u>Alternate interior angles theorem</u>

3. <u>∠1≅∠3</u>                                        3. Definition of congruent angles

4. <u>∠3 + ∠2 ≅ 180°  </u>                        4. Definition of linear pair

5. m∠3 + m∠2 = 180°                      5. <u>Linear pair theorem</u>

6. <u>m∠1 + m∠2 = 180°</u>                     6. Substitution prop. of equality

7. ∠1 and ∠2 are supplementary  7. <u>Consecutive interior angles theorem</u>

Learn more on Proof of angle theorems here: brainly.com/question/17400232

#SPJ1

6 0
2 years ago
I WILL GIVE BRAINLIEST! Parallelogram WXYZ has vertices W(-5, 3), X(-2, 0), Y(-4, -2), and Z(-7, 1), as shown in the graph below
Blizzard [7]

Answer:

d

Step-by-step explanation:

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3 years ago
Calculators were purchased at $70 per dozen and sold at $20 for three calculators. What is the profit on six dozen calculators?
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Her profit is $315.
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The path from the whales to the sharks is parallel to the path from the penguins to the stingrays. What is the distance between
gulaghasi [49]

The distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

<h3>What is proportional segment between parallel lines?</h3>

In two triangle in which the one side of the first triangle is parallel to the one side of the other triangle, two similar triangle formed.

Due to this similar triangle the segment formed by the parallel line are proportional segment.

The path from the whales to the sharks is parallel to the path from the penguins to the stingrays.

The map of the zoo is attached below.

The distance from whale to shark is 18 ft, and this side is parallel to the path from the penguins to the stingrays. Suppose the distance between the penguins and the stingrays is x meters.

Thus, in the given triangle, the ratio of these two sides will be equal to the ratio of their corresponding sides. Hence,

\dfrac{x}{18}=\dfrac{42}{27}\\x=\dfrac{42}{27}\times18\\x=28\rm\; ft

Thus, the distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

Learn more about the similar triangle here;

brainly.com/question/14285697

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