Mike drank more than half the juice in his glass. what fraction of the juice could Mike have drunk?

Answers

Answer 1

Answer: He drank more than half of his drink... So we need to look for fractions greater than 1/2.

First, lets find equivalents of 1/2

$(1)/(2)= (2)/(4) = (3)/(6)= (4)/(8)$

If all of these fractions are equal to 1/2, then by adding to the numerator of these fractions, we'l have fractions greater than 1/2.

2 +1 3
__= ___
4 4

3/4 is greater than 1/2

Mike could have drunken 3/4 of the juice

4/6>1/2 Mike could have drunken 4/6 of the juice

5/8 is greater then 1/2 Mike could have drank 5/8 of the drink.

Answer=3/4, 4/6, 5/8 and many more possible fractions

Answer 2

Answer: Anything Bigger than 1/2 or anything below >1/2

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Please explain! :)

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$|y+4|<1\n\y+4<1 \wedge y+4>-1\ny<-3 \wedge y>-5\ny\in(-5,-3)$

A rectangle porch is 4 feet wide. It is 3 times long as it is wideAlso find the perimeter of the porch

Answers

Label the width: 4ft
Label the length: 12ft (4ft for each segment).
Perimeter=12+12+4+4=32ft

Final answer:

The porch, forming a rectangle, is 12 feet long, as this is three times its width of 4 feet. By using the formula for the perimeter of a rectangle, we find the perimeter here is 32 feet.

Explanation:

The rectangle porch in this problem is 4 feet wide. We are also told that the length of the porch is 3 times its width. So, the length of the porch is 4 feet (width) x 3 = 12 feet. The perimeter of a rectangle is found using the formula: Perimeter = 2* (length + width). Plugging in the values we found, the perimeter of the porch is 2 * (12 feet + 4 feet) = 32 feet.

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Can you multiply these decimals in your head? You should be able to do it very quickly. Can you figure out the trick? 26.9 × 52.8 × 100.1 × 0.00 × 999.9632 = ?

Answers

Answer:

0.00

Step-by-step explanation:

Yes, anyone can multiply these decimals very quickly.

As these decimals include 0 and we know that any number multiply with zero (0) result is always zero (0).

Example: 5 × 0 = 0

⇒ 26.9 × 52.8 × 100.1 × 0.00 × 999.9632 = 0.00

I’m kinda dumb but isn’t it 0 because anything times 0 is 0

Sports: The first Indianapolis 500 auto race took place in 1911. The winning car covered the 500 miles in 6.7 hours. What was the winning car's average rate of speed in miles per hour? Round to the nearest hundreth, if necessary.

Answers

You are looking for how many miles the car went in 1 hour. You know it went 500 miles in 6.7 hours. To find how many it went in 1 hour simply Divide 500 miles by 6.7 hours.

500 miles/6.7 hours = ____ miles in 1 hour

Final answer:

The average speed of the winning car in the 1911 Indianapolis 500 race was approximately 74.63 mph. This was calculated by dividing the total distance covered (500 miles) by the total time taken (6.7 hours).

Explanation:

The subject of this question is Mathematics, specifically dealing with the calculation of average speed. The average speed is calculated as the total distance traveled divided by the total time taken. From the question, we know that the car covered a distance of 500 miles in 6.7 hours. Therefore, the average speed can be calculated as follows:

Dividing the total distance covered, 500 miles, by the total time taken, 6.7 hours.
Perform the division: 500 ÷ 6.7 = 74.63 mph.

The winning car's average speed in miles per hour, rounded to the nearest hundredth, is 74.63 mph.

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The width of a rectangle is one half its length. The perimeter of the rectangle is 54 cm. What are the width and length of therectangle?
A. 9 cm; 18 cm
B. 18 cm
C. 18 cm; 36 cm

Answers

Answer:

Length of rectangle = 18 cm

Width of rectangle = 9 cm

Step-by-step explanation:

Let the length of rectangle be x

$\therefore \: width \: (w) = (1)/(2) x \n \n perimeter \: of \: rectangle = 54 \: cm \n \therefore \:2(l + w) = 54 \n \therefore \:(l + w) = (54)/(2) \n \therefore \:l + w= 27 \n \n \therefore \:x + (1)/(2) x = 27 \n \n \therefore \:(3)/(2) x = 27 \n \n \therefore \:x = 27 * (2)/(3) \n \n \therefore \:x = 9 * 2 \n \n \huge \red{ \boxed{\therefore \:x = 18}} \n \n \implies \: (1)/(2) x = (1)/(2) * 18 = 9$