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3 years ago

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Which expression is equivalent to 7 3/4 - 1/2 Choose one answer A: 1/2 + 7 3/4 B: 7 3/4 + (-1/2) C: 1/2 + (-7 3/4) D: -7 3/4 + (

-1/2)

2 answers:

Katen [24]3 years ago

8 0

Answer:

D

Step-by-step explanation:

Right in edge2020

umka21 [38]3 years ago

4 0

Answer:

D

Step-by-step explanation:

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Tap A takes 6 minutes to fill a tank and tap b takes 9 minutes to fill the same tank. Pipe C can empty the tank in 15 minutes. H

jekas [21]

Answer: approximately 4.7368 minutes

This decimal value is the result of computing 90/19

=====================================================

Explanation:

Let's find the LCM of 6, 9 and 15. First, list out the prime factorization of each value.

6 = 2*3
9 = 3*3
15 = 3*5

The unique prime factors are 2, 3, and 5. We have 2 show up at most once, 3 show up at most twice, and 5 show up at most once. The LCM is 2^1*3^2*5^1 = 2*9*5 = 18*5 = 90.

We'll use this LCM value to set up an example below.

---------------

Consider the tank to be 90 gallons. If we only use tap A, keep tap B closed, and don't open pipe C, then tap A fills the tank at a rate of 90/6 = 15 gallons per minute since it needs 6 minutes to completely fill the tank.

If we have tap B do all the work (keep tap A and pipe C closed), then the rate is 90/9 = 10 gallons per minute for this tap.

Keeping pipe C closed, the two taps A and B work together to have a combined rate of 15+10 = 25 gallons per minute.

Now we consider pipe C being opened. This drains the tank and can do so in 15 minutes (assume the taps A and B aren't open). If we're dealing with a full 90 gallon tank, then its rate is 90/15 = 6 gallons per minute.

The net rate is 25-6 = 19 gallons per minute. We can think of it as a tug of war where the taps A and B ultimately win out despite the fact that pipe C is draining the water. The two taps fill the tank faster than the pipe can drain the tank.

In other words, the tank ultimately gets filled up rather than drained out over the long run. That net speed is at 19 gallons per minute.

The amount of time needed is approximately 90/19 = 4.7368 minutes.

Side note: you can start with any size tank. It doesn't have to be 90 gallons. I picked on this value because it works cleanly with the original given numbers 6, 9 and 15.

6 0

3 years ago

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The image below is a triangle drawn inside a circle with center O:Which of the following expressions shows the area, in square i

zaharov [31]

The Area of a circle =π.R² (R=radius). & π 3.14

Since you didn't give the length of the Radius, then the area of the circle=3.14R²

5 0

3 years ago

The dimensions of four rectangles are given below. Which has an area different from the area of each of the other three?

storchak [24]

To determine which of the rectangles has a different area, the areas of the four rectangles must be calculated. The rectangle with a different area is rectangle b

The dimension of the 4 rectangles are:

a. length: 4x and width: 4

b. length: 11 and width: x

c. length: 2 and width: 8x

d. length: 16x and width: 1

The area of a rectangle is:

$Area = Length \times Width$

<u>Rectangle (a)</u>

$Area = 4x \times 4$

$Area = 16x$

<u>Rectangle (b)</u>

$Area = 11 \times x$

$Area = 11x$

<u>Rectangle (c)</u>

$Area = 2 \times 8x$

$Area = 16x$

<u>Rectangle (d)</u>

$Area = 16x \times 1$

$Area = 16x$

Rectangles (a), (c) and (d) have the same area (i.e. 16x) while rectangle (b) has 11x as its area.

Hence, the rectangle with a different area is rectangle (b).

Read more about areas of rectangles at:

brainly.com/question/14383947

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2 years ago

15% of $3.50 useing proportion

Otrada [13]

Answer:

0.525

Step-by-step explanation:

\frac{x}{3.50}=\frac{15}{100}

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3 years ago

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PLEASEE HELPPP! IT DUE TONIGHT!!!

Marysya12 [62]

Answer:

Step-by-step explanation:

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2 years ago

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