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3 years ago

If a fraction is less than 1 what do you know about its reciprocal

2 answers:

8 0

A reciprocal of a fraction is the opposite of a fraction. You get the reciprocal by switching the places of the numerator and the denominator. For example, the reciprocal of 1/2 is 2/1 (or 2).

podryga [215]3 years ago

3 0

You have to add a 1 underneath it so it's reciprocal is 1

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Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home in the evening along the same ro

nydimaria [60]

The key is Esther travelled the same distance - x - in both her morning and evening commute.

45(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x

Therefore 45(p) = 30(q), or divide both sides by 5 and get 9(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.

Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.

Therefore 9(60-q) = 6q or 540-9q = 6q. So 540 = 15q, which makes q = 36. If q = 36, then by (p+q)=60, p (the time she took in the morning) must equal 24.

45 miles per hour, her speed in the morning, times (24/60) hours, her time, makes 18 miles travelled in the morning. If you check, 30 miles per hour times (36/60) hours also makes 18 miles in the evening.

<span>Hope that makes a little sense. And I also hope it's right</span>

7 0

3 years ago

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8.EE.5

olga2289 [7]

Answer:

1.) $slope=2$

2.) $slope=-3$

3.) $slope=\frac{1}{4}$

4.) $slope=-\frac{4}{5}$

Step-by-step explanation:

The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:

$(x_{1},y_{1})\\\\(x_{2},y_{2})\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=slope$

However, with certain graphs, the slope can be found in a simpler manner.

You start at one point and move across the y-axis, then move along the x-axis until you reach another point on the same line.

Make sure you move on the y-axis first, then the x-axis. Record the slope as spaces moved in each $\frac{y}{x}$

When you move up, the number will be positive $(\frac{+y}{x})$ . If you move down, the number will be negative $(\frac{-y}{x})$ .
If you move to the right, the number will be positive $(\frac{y}{+x})$ . If you move to the left, the number will be negative $(\frac{y}{-x})$ .

8 0

3 years ago

(3.03 MC)

liberstina [14]

Answer:

Step-by-step explanation:

the following equation to show the height of the plant f(n), in cm, after n days:

f(n) = 8(1.05)^n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.26 cm. What is a reasonable domain to l

5 0

3 years ago

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What is equinlents to (3-2x)(4x-7)

natali 33 [55]

Answer:

-8x^2+26x-21

Step-by-step explanation:

6 0

3 years ago

will the opposite of a number always,sometimes,or never be greater than the number itself??????? can someone do an example and a

weeeeeb [17]

When the number is positive, its opposite is less than the number.

9 ==> -9 . . . . . . less
72 ==> -72 . . . . less
324 ==> -324 . . less

When the number is negative, its opposite is greater than the number.

-8 ==> 8 . . . . . . greater
-3/4 ==> 3/4 . . . greater
-429 ==> 429 . . greater .

We've seen that the opposite can be less, and it can also be greater.
I guess that means that it's sometimes greater.

8 0

3 years ago

Read 2 more answers