When rolling a die what is probability of rolling a one

Nikki can drive her car 22 miles on each gallon of gasoline. If Nikki drives m miles, which expression represents the number of

agasfer [191]

The expression represents the number of gallons used is m/22.

Given

Nikki can drive her car 22 miles on each gallon of gasoline.

A rate is a ratio that is used for comparing two different kinds of quantities which have different units.

To find the number of gallons used we will divide the total distance traveled by distance traveled in one gallon.

Therefore,

If Nikki drives m miles, the expression represents the number of gallons used is;

$\rm \text{Number of gallons used}=\dfrac{Total \ travled \ distance}{Distance \ traved \ in \ one \ unit}$

$\rm \text{Number of gallons used}=\dfrac{m}{22}$

Hence, the expression represents the number of gallons used is m/22.

To know more about the Unit rate click the link given below.

brainly.com/question/11258929

6 0

3 years ago

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I also need help with the graph too, just give me the coordinates and place them on the chart.

gavmur [86]

Answer:

from looking a the table we can see that hours is 4 and dollars is 72 so we divide 72/4=18 so one hour is 18 or on the graph

18,1

then we divide 162 by 18=9 on the graph

162,9

watch out this graph is by tens not ones

Hope This Helps!!!

7 0

2 years ago

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Which of the following correctly completes the square for the equation

rjkz [21]

Answer:

A. (x + 2)^2 = 31.

Step-by-step explanation:

x^2 + 4x = 27

x^2 + 4x - 27 = 0

A. (x + 2)^2 = 31

x^2 + 4x + 4 - 31 = 0

x^2 + 4x - 27 = 0

This option corresponds to the given equation, so it is correct.

B. (x + 2)^2 = 43

x^2 + 4x + 4 - 43 = 0

x^2 + 4x - 39 = 0

This does not correspond to the equation.

C. (x + 4)^2 = 31

x^2 + 8x + 16 - 31 = 0

x^2 + 8x - 15 = 0

This does not correspond to the equation.

D. (x+4)^2 = 43

x^2 + 8x + 16 - 43 = 0

x^2 + 8x - 27 = 0

This does not correspond to the equation.

So, your answer is A. (x + 2)^2 = 31.

Make sure to SUBMIT and check your PREVIOUS answers to make sure they are right! XD Also, hope this helps!

7 0

3 years ago

Write a function rule for the following arithmetic sequence and use it to find the 224th term. Show your work.

zavuch27 [327]

Answer:

671 is the 224th term of the given series

Step-by-step explanation:

The given sequence is

2,5,8,11....

First term that is 2

common difference that is 3

we have to find 224th term

That is n =224

using $a_n=a+(n-1)d$

$a_{224}=2+(224-1)3$

On solving the above equation we get

$a_{224}=671$

Hence, 224th term of the given series is 671

5 0

3 years ago

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Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the

Rama09 [41]

Question:

Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the ground. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?

1s 2s 3s 4s

Answer:

It takes 2 seconds for object to hit the ground

Solution:

The given equation is:

$h(t) = -16t^2 + v_0t+h_0$

Initial velocity = 27 feet/sec

$h_0 = 10\ feet$

Therefore,

$h(t) = -16t^2 +27t+10$

At the point the object hits the ground, h(t) = 0

$-16t^2 +27t+10 = 0\\\\16t^2-27t-10=0$

Solve by quadratic formula,

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=16,\:b=-27,\:c=-10:\quad \\\\t=\frac{-\left(-27\right)\pm \sqrt{\left(-27\right)^2-4\cdot \:16\left(-10\right)}}{2\cdot \:16}\\\\t = \frac{27 \pm \sqrt{1369}}{32}\\\\t = \frac{27 \pm 37}{32}\\\\We\ have\ two\ solutions\\\\t = \frac{27+37}{32}\\\\t = \frac{64}{32}\\\\t = 2\\\\And\\\\t = \frac{27-37}{32}\\\\t = -0.3125$

Ignore, negative value

Thus, it takes 2 seconds for object to hit the ground

7 0

3 years ago