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2 years ago

Omar can jog 3 2/5 miles in 2/3 of an hour. Find his average speed in miles per hour.

Mathematics

2 answers:

kicyunya [14]2 years ago

5 0

Step-by-step explanation:

he jogs 3 2/5 miles in 2/3 of an hour.

3 2/5 miles are 17/5 miles.

now, to get mph as speed unit, we need to bring the 2/3 hour to 1 hour.

we need to multiply 2/3 by a factor to get 1

2/3 × x = 1

2x = 3

x = 3/2

since we have to multiply the denominator of the ratio by 3/2, we also need to multiply the numerator by the same value to keep the overall value of the ratio/fraction the same.

17/5 / 2/3 × 3/2 / 3/2 = (17/5 × 3/2) / (2/3 × 3/2) =

= ((17×3)/(5×2)) / ((2×3)/(3×2)) =

= (51/10) / 1 = 51/10 = 5.1 mph

so, his jogging speed is 5.1 mph.

Fudgin [204]2 years ago

3 0

Answer:

9.6miles per hour

Step-by-step explanation:

2/3＝40min

32/5 /40＝0.16

0.16miles per min

0.16*60＝9.6

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12, 17, 22... find the 35th term

Leno4ka [110]

Answer:

a₃₅ = 182

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 17 - 12 = 22 - 17 = 5

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 5 , then

a₃₅ = 12 + (34 × 5) = 12 + 170 = 182

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3 years ago

Calculate the volume of a cone with r=6.2 and h=10.9 and Pi=3.14

slega [8]

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2 years ago

The table shows a company’s profit based on the number of pounds of food produced.

Bingel [31]

Answer:

$5,300

Step-by-step explanation:

Formulae used,

$a=\dfrac{(\sum x^2y\sum xx)-(\sum xy\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}$

$b=\dfrac{(\sum xy\sum x^2x^2)-(\sum x^2y\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}$

$c=\dfrac{\sum y}{n}-b\frac{\sum x}{n}-a\frac{\sum x^2}{n}$

Where,

$\sum xx=\sum x^2-\dfrac{(\sum x)^2}{n}$

$\sum xy=\sum xy-\dfrac{\sum x\sum y}{n}$

$\sum xx^2=\sum x^3-\dfrac{\sum x\sum x^2}{n}$

$\sum x^2y=\sum x^2y-\dfrac{\sum x^2\sum y}{n}$

$\sum x^2x^2=\sum x^4-\dfrac{(\sum x^2)^2}{n}$

Putting the values from the table, we get the best fit line as,

$y= -0.0817x^2 + 102.24x - 20421$

As we want to calculate the profit at 350 pounds, so putting x=350, we get

$y= -0.0817(350)^2 + 102.24(350) - 20421=\$5354.75$

5 0

3 years ago

Read 2 more answers

Solve for g in the proportion. 42/g = 14/10 g =

NeX [460]

Cross mutiply. 42*10= 420. 14*g= 14g

14g= 420

divide by 14 for both sides

14g/14= 420/14

g= 30

Check answer by using substitution method

42/30. Divide by 3 . 42/3= 14 , 30/3= 10

14/10 and 14/10 equal to each other by dividing 2.

14/2= 7 , 10/2= 5

7/5= 7/5

Answer: g= 30

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2 years ago

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