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arlik [135]
2 years ago
6

Ilana ran 2 laps around the field in 8 minutes. What was her average speed, in laps per minute?

Mathematics
2 answers:
Ksju [112]2 years ago
8 0

Answer: She ran 0.25 laps a minute

Step-by-step explanation:

Every minute she runs 0.25 a minute which means that every 4 minutes she runs 1 lap which means if she run for 8 minutes she gets 2 laps

olganol [36]2 years ago
3 0

Answer:

?

Step-by-step explanation:

what does the O mean

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(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y
a_sh-v [17]

Answer:

The equation of the line is y=45.25t+545

Step-by-step explanation:

The general for of a line is:

y=mt+n       (1)

where:

m is the slope of the line and m is the intercept with the axis of the dependent variable, y in this case.

In order to obtain the value of the slope (m) we can use the corresponding slope formula:

m=\frac{y_{2}-y_1 }{t_2-t_1}         (2)

where t_1, t_2, y_1 and y_2 are the corresponding coordinates of the given points. In this case:

t_1=0\\t_2=4\\y_1=545\\y_2=726\\

Substituting these values in equation (2) we obtain:

m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25

Hence, the line equation is now:

y=45.25t+n     (3)

Now to obtain the value of n you can follow two options:

  1. You can substitute one of your points, A or B, in equation (3). In this way, you will obtain an equation where the variable is n

Note that for this question, it is easier to select point A because of having the independent variable equals to zero t=0. Hence, substituting point A in equation (3):

45.25*0+n=545\\n=545

Therefore, the line equation is: y=45.25t+545

The second option to find n is to think of the meaning of the <em>intercept</em>. The <em>intercept </em>of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that n is equal to 545.

See the attachment for a plot of the line.

7 0
3 years ago
What does 1/8x-49/8 equal
netineya [11]

Answer:

x=49

Step-by-step explanation:

Let's solve your equation step-by-step.

1

8

x−

49

8

=0

Answer:

x=49

7 0
3 years ago
If 10 + a = 10, then a = 0
Lunna [17]

Answer:

B) identity property of addition.

Step-by-step explanation:

Given:

The statement given is:

10+a=10,\ then\ a=0

Here, we observe that 10 is added to a giving the number 10 itself as the answer. So, we know of a property which says that when 0 is added to a number, the result is the number itself. This property is called identity property of addition.

So, the value of a must be 0 because on adding a to 10, we are getting the number 10 only. So, the above statement is an example of identity property of addition.

5 0
3 years ago
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No, she will not have enough. If you estimate the amount of money it will cost for the turkey sandwich and the large drink, it will cost about $7. She will only have $6.25 after admission costs.
3 0
3 years ago
32/(2*2)(32/4)*9<br> Please help
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Your answer is going to be 2304
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