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romanna [79]
3 years ago
6

8. To calculate 159 - 73, a student writes the follow-

Mathematics
1 answer:
Evgen [1.6K]3 years ago
7 0

The question is an illustration of solving equations using estimates.

The student's strategy makes sense because he uses estimation to solve the given equation

The correct sequence of equation is as follows:

  • \mathbf{159 - 73}
  • \mathbf{159 - 73 =160 - 70- 1 - 3}
  • \mathbf{159 - 73 =90- 4}
  • \mathbf{159 - 73 =86}

We have:

\mathbf{159 - 73}

Add 0 to the equation

\mathbf{159 - 73 =159 + 0- 73}

Express 0 as 1 - 1

\mathbf{159 - 73 =159 + 1 - 1- 73}

\mathbf{159 - 73 =160 - 1- 73}

Add another 0

\mathbf{159 - 73 =160 - 1- 73 + 0}

Express 0 as 3 - 3

\mathbf{159 - 73 =160 - 1- 73 + 3 - 3}

\mathbf{159 - 73 =160 - 1- 70 - 3}

Rewrite as:

\mathbf{159 - 73 =160 - 70- 1 - 3}

Solve

\mathbf{159 - 73 =90- 4}

\mathbf{159 - 73 =86}

Read more about estimation and equations at:

brainly.com/question/18454732

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Answer:

0.216

Step-by-step explanation:

Given that a certain new type of business succeeds 60% of the time.

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Since these three businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). we can say X no of successful businesses is Binomial

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Required probability

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8 0
3 years ago
If 5x2+4x+xy=3 and y(3)=−18, what is an equation of the tangent line to the graph at the point (3,−18)
Paha777 [63]
I believe the answer is:

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Let me know if you need an explanation. Hope this helps.
8 0
3 years ago
Solve #1 pls, I need to find the shortest side, median side, and longest side
Lisa [10]

Answer:

Shortest side = 39 cm.

Median side = 65 cm.

Longest side = 91 cm.

Step-by-step explanation:

The perimeter in total is 195 cm. The ratio of the sides are 3 : 5 : 7.

First, find how much parts there are as a whole, by combining the ratios:

3 + 5 + 7 = 15 parts.

Divide the total of parts from the total measurement:

195/15 = 13

Each part has the measurement of 13 cm.

1 part = 13 cm.

Use the following ratio to solve for each of the sides:

Shortest side: 3

3 x 13 = 39

Shortest side = 39 cm.

Median side: 5

5 x 13 = 65

Median side = 65 cm.

Longest side: 7

7 x 13 = 91

Longest side = 91 cm.

Check. Combine all side measurements together. They should equal 195:

39 + 65 + 91 = 195

(39 + 65) + 91 = 195

(104) + 91 = 195

195 = 195 (True).

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8 0
4 years ago
Solve the following equation: 2(4^2 + 10) =
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Answer:

52

Step-by-step explanation:

2(4^2 + 10) =

We do what's in the parenthesis first.

4^2 = 16 and 16+10 =26.

2(26)

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3 0
4 years ago
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Matthew walks 5/8 to the bus stop each morning. How far will he walk in 5 days?
fomenos
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