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mezya [45]
2 years ago
15

Select all that apply. To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion.

Which of the following proportions are correct? Please help! D:
Mathematics
2 answers:
Thepotemich [5.8K]2 years ago
7 0
They are right ^^^ 100%:)
Oksi-84 [34.3K]2 years ago
3 0

Answer:

Hey there!

We can't compare two measurements without converting them to  the same units. Thus, we use proportions to make all the values into the same unit.

12.5 cm(\frac{10 milimeters}{1 centimeter}), which converts to centimetres to millimetres.

12.5 cm=125 mm.

Now, we can compare the values of 125 mm and 140 mm.

Clearly, we see that 140 mm is greater than 125 mm.

Let me know if this helps :)

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Leah borrows £10,000 over 5 years at a simple interest rate of 15%.
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Answer:

She will pay $7,500 interest over the 5 years

She will have to pay back $17,500 in total

Step-by-step explanation:

Let us revise the rule of the simple interest

<em>I</em> = <em>Prt</em> and <em>A</em> = <em>P</em>(1 +<em> rt</em>) , where:

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∵ Leah borrows £10,000 over 5 years at a simple interest rate of 15%.

∴ P = 10,000

∴ t = 5

∴ r = 15% = \frac{15}{100} = 0.15

→ Substitute them in the first rule to find the interest

∵ I = 10,000(0.15)(5)

∴ I = 7,500

∴ She will pay $7,500 interest over the 5 years

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∵ A = 10,000(1 + 0.15×5)

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Answer:

See below

Step-by-step explanation:

<h3>Continuation of the question</h3>

<u>Data in the table:</u>

<u>PH             4       5     6     7     8    9     10     11 </u>

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<h3>Solution</h3>

<em>See attached for scatter plot</em>

We can see the chart is close to linear function. Let's build one based on data in the table

<u>The line will be in the form of:</u>

  • y = mx + b

<u>If we use two points and get the equation</u>

  • (4, 116) and (8, 141)

<u>Finding the slope:</u>

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<u>Then, finding y-intercept:</u>

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<u>So the line is:</u>

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Answer:

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