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2 years ago

Estimate the difference 7 3/4-2/25 Show your work.

Mathematics

2 answers:

klio [65]2 years ago

7 0

The answer would be that 100 = 767/100 because you subtract the numbers at the end

crimeas [40]2 years ago

6 0

Answer: 7 3/4 - 2/25 = 767/100 = 7 67/100 = 7.67

Step-by-step explanation:

Conversion a mixed number 7 3/4

to a improper fraction: 7 3/4 = 7 3/4 = 7 · 4 + 3/4= 28 + 3/4 = 31/4

To find a new numerator:

a) Multiply the whole number 7 by the denominator 4. Whole number 7 equally 7 * 4/4 = 28/4

b) Add the answer from previous step 28 to the numerator 3. New numerator is 28 + 3 = 31

c) Write a previous answer (new numerator 31) over the denominator 4.

Seven and three quarters is thirty-one quarters

Subtract: 31/4 - 2/25= 31 · 25/4 · 25 - 2 · 4/25 · 4 = 775/100 - 8/100 = 775 - 8/

100 = 767/100

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2) Fill in an angle measure greater than 100 degrees for the missing angle in yellow below. You will fill

timama [110]

Answer:

m∠a = 110°

m∠b = 110°

m∠c = 70°

m∠d = 70°

m∠i = 110°

m∠h = 110°

m∠j = 70°

m∠g = 110°

m∠f = 70°

m∠e = 70°

m∠k = 57°

m∠m = 70°

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Step-by-step explanation:

Let the measure of the yellow angle = 110°

Therefore;

m∠a = 110° by vertically opposite angles

m∠b = m∠a = 110° by opposite interior angles of a parallelogram

m∠c = 180° - 110° = 70° by same side interior angles

m∠d = m∠c = 70° by opposite interior angles of a parallelogram

m∠i and m∠c are supplementary angles, therefore, m∠i = 110°

m∠h = m∠i = 110° by vertically opposite angles

m∠j = m∠c = 70° by vertically opposite angles

m∠g and m∠d are supplementary angles, therefore, m∠g = 110°

m∠f = m∠d = 70° by alternate interior angles

m∠f = m∠e = 70° by vertically opposite angles

m∠k = 180° - (m∠h + 13°) = 180° - (110° + 13°) = 57°

m∠b and m∠m are supplementary angles, therefore, m∠m = 70°

m∠l and 13° are supplementary angles, therefore, m∠l = 167°

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Answer:

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3 years ago

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On the distant plant, Mathology, a sports area covers 7400 yodels2. How many square deckles would this be if 1 deckle = 75.9 yod

STatiana [176]

Answer:

It would be <u>97.50</u> square deckles.

Step-by-step explanation:

Given:

On the distant plant, Mathology, a sports area covers 7400 yodels².

1 deckle = 75.9 yodels.

Now, to get the square deckles.

As given, 1 deckle = 75.9 yodels.

So, to get the square deckles by using conversion factor:

<em>75.9 yodels = 1 deckle.</em>

7400 yodels² = $7400\div 75.9$

= $97.50\ deckels ^2.$

Therefore, it would be 97.50 square deckles.

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4 years ago