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larisa86 [58]
3 years ago
13

Chanita wants to swim the 21-mile English Channel in 48 hours. On the first day she swam 9 miles and then was picked up by a fer

ry to spend the night. The next day, she has 12 hours of daylight to complete the remaining distance. What inequality represents the minimum rate she has to swim on the second day to complete the distance? the inequality is 9 +
Mathematics
1 answer:
labwork [276]3 years ago
4 0

The inequality 12x+9 ≥ 21  represents the minimum rate Chanita have to swim on second day to complete the distance.

Step-by-step explanation:

Given,

Length of English Channel = 21 miles

Distance covered on first day = 9 miles

Time to complete remaining distance on second day = 12 hours

Let,

x be the distance covered per hour on second day.

Time to cover distance * Distance covered per hour + Distance on first day ≥ Total distance

12x+9 ≥ 21

The inequality 12x+9 ≥ 21  represents the minimum rate Chanita have to swim on second day to complete the distance.

Keywords: addition, inequality

Learn more about addition at:

  • brainly.com/question/8520610
  • brainly.com/question/846474

#LearnwithBrainly

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MAXImum [283]
27+7 = 34

so, the answer is 34
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2 years ago
In triangle abc, a is a right angle, and ab = 16√3, and the measure of b=30 degrees. What is the length of ac.
salantis [7]

Answer:

the length of ac is 16.

Step-by-step explanation:

Given;

A is right angle, = 90⁰

B is 30⁰

ab = 16√3

              C

              ↓

               ↑

               A   →      ←  B

If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.

The length of ac is calculated as follows;

tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16

Therefore, the length of ac is 16.

             

6 0
3 years ago
Find the cost of 20 grams of lead at 60$ per kilogram
ASHA 777 [7]

Answer:

$1.20

Step-by-step explanation:

Ratio:

Grams : Kilograms

1 : .001

Multiply both sides by 20 to convert grams to kilograms:

Grams : Kilograms

1 : .001

x20 x20

20 : .02

This means that 20 grams of lead = .02 kilograms of lead

Price:

Cost : Kilogram

$60 : 1

Multiply both sides by .02 to find the price of the lead:

Cost : Kilogram

$60 : 1

x.02  x.02

$1.20 : .02

Therefore, .02 kg of lead costs $1.20.

6 0
3 years ago
-4x - 6x = -20 =?<br><br> -3(2x - 3) = 33 = ?<br><br> 4x + 3x + 2x = 180 = ?
postnew [5]

Answer:

-4x-6x=-20=

x=2

-3(2x-3)=33=

x=-4

4x+3x+2x=180

x=20

Step-by-step explanation:

-4x-6x=-20                                

-4+(-6)=-10x

-10x=20 (divide both by 10)

x=-2 (divide by -1 to get positive)

x=2

-3(2x-3)=33

-6x+9=33

     -9 .  -9

-6x=24 (divide both by -6)

x=-4 (divide by -1 to make positive)

4x+3x+2x=180

(combine like terms)

9x=180 (divide both sides by 9)

x=20

5 0
3 years ago
Calculate the amount of work done if you use a 150N force to push a 50kg box 5m across the kitchen floor.
anzhelika [568]

Answer:

750 J

Step-by-step explanation:

4 0
3 years ago
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