11 / 2 plus 11 / 4 in fraction

Elina [12.6K]

Answer:

Answer:

C. The balloon starts at a height of 500 ft and rises at a rate of 150 ft.

Step-by-step explanation:

We have been given a graph which represents the height of the balloon over time.

We can see from our graph that y-intercept, which represents the height of the balloon (in thousand feet) at time equals zero, is 0.5. To find the correct y-intercept we will multiply 0.5 by 1000 as height of the balloon is given in thousand feet.

Therefore, y-intercept represents that the balloon starts at a height of 500 feet.

Now let us find slope of our given line using slope formula.

is vertical change or rise.

is horizontal change or run.

Upon substituting given values in above formula we will get,

Now let us multiply 0.15 by 1000 as height of balloon is given in thousand feet.

Therefore, slope of our line is 150 which means that height of balloon is increasing 150 feet per second or balloon is rising at a rate of 150 feet per second.

Upon looking at our given options we can see that option C is the correct choice.

Step-by-step explanation:

The slope is (change in y)/(change in x). Taking (0, 0.5) and (10, 2) since the x axis is horizontal and the y axis vertical, we get the slope to be (2-0.5)/(10-0)=

1.5/10=3/20=0.15. Since it's based off of 1000 feet, we multiply 0.15 by 1000 to get 150 as the rate of change for every x value. In addition, since we start at 0.5, 1000*0.5=500 and we therefore start at 500 ft. Using the information we have, we therefore have C as our answer

8 0

3 years ago

Sarah is making strings of beads in the first string she uses 3 beads and she triples the number of beads in each of the next st

xenn [34]

Answer:

She uses 243 beads for the 5th string.

Step-by-step explanation:

In this problem, we can see a pattern. If she triples the number of beads in each of the next strings, that means that we just take the last number and multiply by 3. If the first string uses 3, then:

The second uses 9, 3 * 3 = 9

The third uses 27, 9 * 3 = 27

The fourth uses 81, 27 * 3 = 81

And the 5th uses 243, 81 * 3 = 243.

6 0

4 years ago

Which of these triangle pairs can be mapped to each other using two reflections?

UkoKoshka [18]

Answer: The correct option is figure (1).

Explanation:

Reason for correct option:

The figure (1) shows the reflection across the side XY followed by reflection across the side YT.

When we reflect the triangle XYZ across the side XY we get the triangle XYT as shown in below figure.

After that we reflect the triangle XYT across the side YT and we get the triangle PYT.

Therefore, only figure 1 shows the triangle pairs can be mapped to each other using two reflections.

Reason for incorrect options:

The figure (2) shows the rotation of 180 degree along the point y.

The figure (3) shows the reflection across the side XY followed by the translation.

The figure (4) shows the reflection, followed by rotation , followed by translation.

8 0

3 years ago

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F(x)=−2(x+4)<br><br> What is the value of f(−1)?

Vlada [557]

The value is -6
(-1,-6)
all you have to do it plug in -1 for x
f(-1)= -2(-1+4
f(-1)=-2(3)
f(-1)=-6

7 0

4 years ago

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The pie store is having a 10% off sale on all of its pies. If the pie you want regularly costs $18, how much would you save with

sasho [114]

If there is 10% of $18 = 18 x 0.9 (1 - 0.1) = $16.20
Therefore the pie costs $16.20
He is saving 18 - 16.20 = $1.80

8 0

4 years ago

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