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adelina 88 [10]
3 years ago
7

Robert can swim the first 50 meters of a race in 1 minute. Then he slows down by 12 seconds for each of the next 50 meters of a

race. How long will it take Robert to swim a 400 meter race?
Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0
Since you already know that the first 50 meters took 1min you can subtract
400meters-50meters=350meters
350meters÷50meters=7minutes
It increases at 12 sec./min for 7mins
1.12,1.24,1.36,1.48,2.00,2.12,2.24= 11.56+1.00=12.56min
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Paul purchased 3 video games for $17.25 each. Which expression is the best choice to help him determine the total amount of mone
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(3)(17.25) = 51.75; he spent $51.75

Because everything in the problem is positive, no negative numbers are needed.
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89,659 to the nearest thousand
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Janeel has a 10-inch by 12-inch photograph. She wants to scan the photograph, then reduce the result
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<u>Complete Question:</u>

Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.

<u>Correct Answer:</u>

A) (10-x)(12-x)=15

B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

<u>Step-by-step explanation:</u>

a. Write an equation to represent the area of the reduced image.

Let the reduced dimensions is by x , So the new dimensions are

length=10-x\\breadth=12-x

According to question , Area of new image is :

⇒ Area = \frac{1}{8}Length(breadth)

⇒ Area = \frac{1}{8}(10)(12)

⇒ Area = 15

So the equation will be :

⇒ (10-x)(12-x)=15

b. Find the dimensions of the reduced image

Let's solve :  (10-x)(12-x)=15

⇒ 120-10x-12x+x^2=15

⇒ 120-22x+x^2=15

⇒ x^2-22x+105=0

By Quadratic formula :

⇒ x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

⇒ x = \frac{22 \pm8 }{2}

⇒ x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}

⇒ x = 15 , x =7

x = 15 is rejected ! as 15 > 10 ! Side can't be negative

⇒ x =7

Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

5 0
3 years ago
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Answer:

z = 4/3 or 1 1/3

Step-by-step explanation:

z−4/9−1/3=5/9

Change 1/3 to have a denominator of 9

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z−4/9−3/9=5/9

Combine like terms

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Add 7/9 to each side

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or as a mixed number

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5 less than the product of 7 and s
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Answer:

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I hope this helps!

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