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vodka [1.7K]
3 years ago
9

Describe a way to calculate 304-81 mentally by using reasoning other that the common subtraction algorithm. Then write a coheren

t sequence of equations that correspond to your reasoning
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

To subtract mentally 81 from 304, complete following steps:

<u>Step 1:</u> Write number 304 as

304=300+4\\ \\304=200+100+3+1\\ \\304=200+20+80+3+1

<u>Step 2: </u>Write number 81 as

81=80+1

<u>Step 3: </u>Now subtract 80 and 1 from number 304:

304-81=(200+20+80+1+3)-(80+1)\\ \\304-81=200+20+3\\ \\304-81=223

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Vitek1552 [10]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Kevin caught some fish. Of them 4/9 were herring, and 2/9 salmon. What was the total amount of fish, amount of herring and amoun
julia-pushkina [17]

There were 3 different fish caught, Salmon, Herring and Flounder.

4/9 were Herring, 2/9 were Salmon, 4/9 +2/9 = 6/9

This means 3/9 were Flounders ( 3/9 + 6/9 = 9/9 = 1)

3/9 can be reduced to 1/3.

1/3 of the fish were Flounders.

Divide the amount of flounders by the portion caught:

12 / 1/3 = 12 * 3/1 = 36 total fish.

Now you have total number of fish, multiply the total by each portion for each type of fish.

Total fish = 36

Herring = 4/9 x 36 = 16

Salmon = 2/9 x 36 = 8

6 0
3 years ago
Is y=1/15x proportional or not
EastWind [94]

Answer:

Yes

Step-by-step explanation:

They are inversely proportional

Means if we increase y then the value of x will decrease and vice versa.

4 0
3 years ago
Read 2 more answers
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melamori03 [73]

Answer:

<EFC and <DCF

Step-by-step explanation:

Alternate interior angles: Angles that are inside the parallel lines and are opposite from each other

<DCA and <DCF are supplementary angles meaning they add up to 180 degrees.

<EFH and <GFC are vertical angles and both angles are not inside the parallel lines.

<BCF and <GFH are not alternate interior angles because both the angles aren't inside the parallel lines.

<EFC and <DCF are alternate interior angles because they are on opposite sides of the transversal and inside the parallel lines.

3 0
3 years ago
1. In the given figure. BEST is a cyclic quadrilateral. ES is produced so that BE=SN. If ET is the bisector of angle BES, prove
padilas [110]

The triangle NET is an <em>isosceles</em> triangle as <u>ET</u> ≅ <u>TN</u> and ET = TN < EN given the condition that BEST is a <em>cyclic</em> quadrilateral.

<h3>How to determine the existence of an isosceles triangle</h3>

In this question we must apply <em>geometric</em> properties of angles and triangles to determine that the triangle NET is an <em>isosceles</em> triangle. <em>Isosceles</em> triangles are triangles with two sides of equal length. In addition, we must apply the geometric concept of proportionality.

Now we proceed to prove the existence of the isosceles triangle:

  1. <u>BE</u> ≅ <u>SN</u>       Given
  2. ET is the bisector of ∠BES     Given
  3. ET/ES = ET/EB     Definition of proportionality
  4. ES = EB       (3)
  5. <u>ES</u> ≅ <u>EB</u>     Definition of congruence
  6. <u>ET</u> ≅ <u>TN</u>     SSS Theorem/Result

Therefore, the triangle NET is an <em>isosceles</em> triangle as <u>ET</u> ≅ <u>TN</u> and ET = TN < EN given the condition that BEST is a <em>cyclic</em> quadrilateral. \blacksquare

To learn more on isosceles triangles, we kindly invite to check this verified question: brainly.com/question/2456591

7 0
3 years ago
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