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yan [13]
3 years ago
14

Every day Drake runs two laps at a park in his neighborhood. His speed, s, is inversely proportional to time, t, over the same d

istance. If Drake runs at a speed of 6 miles/hour, it takes him half an hour to complete two laps of the park. Which statement best describes Drake’s situation?
Mathematics
1 answer:
nalin [4]3 years ago
5 0
<span>multiply equation by 36 to get rid of the denominators
36* - 36* = 36(6)
Cancel the denominators
9d - 8d = 216
d = 216 mi to his house
:
:
See if that checks out, find the actual speeds
216/4 = 54 mph
216/4.5= 48 mph
----------------</span>
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A+b/a-b=5/3 what are the following ratios? 3a:2b
Papessa [141]

Answer:

3 a : 2 b = 6 : 1

Step-by-step explanation:

<em>\frac{a + b}{a - b} = \frac{5}{3}</em>

<em>3 ( a + b) = 5 ( a - b) </em>

<em>3 a + 3 b = 5 a - 5 b </em>

<em>5 b + 3 b = 5 a - 3 a </em>

<em> 8 b = 2 a </em>

<em> 2 a = 8 b</em>

<em><u>a = 4 b</u></em>

<em>3 a = 3 × 4 b</em>

<em><u>3 a = 12 b</u></em>

<em>3 a: 2 b = 12 b : 2 b</em>

<em>3 a : 2 b = 6 : 1</em>

7 0
4 years ago
Read 2 more answers
A shopkeeper buys a television from a manufacturer. The shopkeeper sells the television for $2700 at a profit of 20% A)how much
Georgia [21]

Answer:

$2250

$2430

Step-by-step explanation:

If the seller made a profit of 20%, it means he sold the television at a price that is 20% higher than the cost price. That means that the sales price is 1.2 times higher than the cost price

let t = cost price of the television

the following equation can be derived

1.2 x t = $2700

divide both sides by 1.2

t = $2250

If there is a 10% discount, the television is (100 - 10%) 90% cheaper

0.9 x 2700 = $2430

7 0
3 years ago
Given that measure of angle 6 is 1/8 of measure of angle 4. Find the measures of these two angles if a∥b .
weeeeeb [17]

Answer:

\angle 4=160^{\circ}, \angle 6=20^{\circ}

Step-by-step explanation:

Consider the below figure attached with this question.

Given information: a∥b, \angle 6=\frac{1}{8}\angle 4.

a∥b              (Given)

\angle 6=\frac{1}{8}\angle 4    (Given)

Multiply both sides by 8.

8\angle 6=\angle 4      ...(1)

If a transversal line intersect two parallel lines then the same sided interior angles and are supplementary angles.

\angle 6+\angle 4=180              (Same sided interior angles)

\angle 6+8\angle 6=180            (Substitution)

9\angle 6=180

Divide both sides by 9.

\angle 6=20

The measure of angle 6 is 20 degree.

Substitute this value in equation (1).

8(20)=\angle 4

160=\angle 4

The measure of angle 4 is 160 degree.

3 0
4 years ago
A $30 sweater is having a 20% discount. What should be the price of the sweater after the discount?
Softa [21]

Answer:

$24

Step-by-step explanation:

$24

30 x .80 equals 24

Hope this helps!

Plz, Mark Brainliest!

4 0
3 years ago
a person enters a building on the first floor and runs up to the third floor in 30 seconds at this rate, how many seconds will i
Diano4ka-milaya [45]
It will take 60 seconds. Because they went in at the first floor and ran up to the third in 30 seconds, if they go down and go up to the 6th floor it would be a minute, because 30+30 is 60
4 0
4 years ago
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