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SIZIF [17.4K]
4 years ago
13

Ted likes to run long distances. He can run 20 km 95 minutes. He wants to know how many kilometers (k) he will go if he runs at

the same pace for 285 minutes.
Mathematics
2 answers:
maxonik [38]4 years ago
8 0

He will run 60km in 285 minutes.



puteri [66]4 years ago
8 0

Answer:

Ted can run 60 km in 285 minutes.

Step-by-step explanation:

Consider the provided information.

Ted can run 20 km in 95 minutes.

Now, calculate how much he can run in 1 minute.

20 Km = 95 minutes

\frac{20}{95} Km = 1 minutes

\frac{4}{19} Km = 1 minutes

Now, calculate the distance cover by him if he runs at the same pace for 285 minutes.

Multiply both the sides of the above equation with 285.

\frac{4}{19}\times 285 Km = 285 minutes

4\times 15 Km = 285 minutes

60Km = 285 minutes

Hence, ted can run 60 km in 285 minutes.

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3 years ago
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Calculate the volume of water in the cup when it is full
maxonik [38]

To find:

The volume of the water in the cup when it is full.

Solution:

The volume of the water is equal to the difference of the volume of the small cone and the larger cone.

Here, the ratio of the radius of both cones is equal to the ratio of their heights. SO,

\begin{gathered} \frac{r}{2.7}=\frac{20}{20-8} \\ \frac{r}{2.7}=\frac{20}{12} \\ \frac{r}{2.7}=\frac{5}{3} \\ r=4.5 \end{gathered}

The radius of the larger cone is 4.5 cm.

So, the volume of the water is:

\begin{gathered} V=\frac{1}{3}\pi R^2H-\frac{1}{3}\pi r^2h \\ =\frac{1}{3}\pi(R^2H-r^2h) \\ =\frac{1}{3}\pi((4.5)^2(20)-(2.7)^2(12)) \\ =\frac{1}{3}\cdot\frac{22}{7}(405-87.48) \\ =\frac{22}{21}(317.52) \\ =332.64cm^2 \end{gathered}

The volume of water when the cup is full is 332.64 cm^2.

7 0
1 year ago
The expression 8x2 − 144x 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represent
Rzqust [24]

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given expression is 8x² − 144x + 864

Let y = 8x² − 144x + 864

also,  y - 864 = 8x² - 144x

by Extracting common factor 8 on the right side

y - 864 = 8(x² - 18x)

Add (18/2)² on both sides, we get

y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)

y - 864 + 648 = 8 (x² - 8x + 9)

on simplification

y - 216 = 8 (x - 9)²

y = 8(x - 9)² + 216

therefore, y = 8 (x - 9)² + 216

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Learn more about a quadratic equation here:

brainly.com/question/2263981

8 0
2 years ago
Find the value of x<br> 85<br> (X + 37)<br> (6x + 22)<br> 69
g100num [7]

Answer:

<u>x </u><u>=</u><u> </u><u>2</u><u>1</u><u>°</u>

<u>The </u><u>angles </u><u>of </u><u>the </u><u>quadrilateral</u><u> </u><u>are:</u>

  • <u>8</u><u>5</u><u>°</u>
  • <u>5</u><u>8</u><u>°</u>
  • <u>1</u><u>4</u><u>8</u><u>°</u>
  • <u>6</u><u>9</u><u>°</u>

Step-by-step explaination:

The above figure is a quadrilateral.

Hence, the angle sum of the shape is 360°.

Therefore,

85 + (x + 37) +69 + (6x + 22) = 360

85 + x + 37 + 69 + 6x + 22 = 360

(85 + 37 + 69 + 22) + (x + 6x) = 360

213 + 7x = 360

7x = 360 -  213

7x = 147

x =  \frac{147}{7}

x = 21

4 0
2 years ago
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