Clara drove 248 miles in 4 hours. what was her average rate of speed

Answers

Answer 1
Answer: Hi there, to solve this problem we divide 248 miles by 4 hours. Let's begin, 248 miles ÷ 4 hours = 62. Therefore, Clara's average rate of speed was 62.

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Sprint was sell Iphones. They sold 100 phones. They sold each phone for $200. But, they got the phones on discount for $50 each from the Iphone company. How much did they collect/make? How much were their expenses? How much was their profit?

Answers

Answer:

How much they make  = 20,000

Expenses  = 15,000

Profit  = 5,000

Step-by-step explanation:

Well this question isn't very clear since it didn't state what the original cost for one iphone is. I think they are assuming one iphone to be 200 dollars or the sold amount, but this information is not directly stated. Anyways....

How much they make  100x200 = 20,000

Expenses  100(200-50) = 15,000

Profit  20,000 - 15,000 = 5,000

A straight line passes through the origin O and the point A(4,-2) find the equation of the line OA

Answers

Answer:

y= -1/2x

Step-by-step explanation:

Equation of the line is always in the form y=mx + c

where c is the y-intercept ( where the graph crosses the y-axis) and m is the gradient.

The straight line passes through the origin which are the points (0,0) hence

gradient= change in y÷ change in x

G= -2-0 ÷ 4-0 =-2÷4= -1/2x

y= 1/2x+c

-2=-1/2(4)+c

-2=-2+c

-2+2=c

c=0

∴ the equation of the line is y=-1/2x

Final answer:

The equation of the line passing through the origin and the point A(4,-2) is y = -0.5x.

Explanation:

In Mathematics, the equation of the line can be found using the point-slope form which is y = mx + c, where 'm' is the slope of the line and 'c' is the y-intercept. Since the line passes through the origin O(0,0), the y-intercept 'c' is 0. The slope 'm' of the line is found by the formula 'change in y/change in x'. Given the point A(4,-2), the change in y (the difference in the y-values of your two points) is -2 - 0 = -2, and the change in x (the difference in the x-values of your two points) is 4 - 0 = 4. Therefore, the slope 'm' is -2/4 = -0.5.

Substitute 'm' and 'c' values in the equation y = mx + c, we get the equation of the line OA as y = -0.5x.

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Please, show your work . Thanks

Answers

4.
seems to be a geometric sequence
common ratio is -4
first erm is -2
a_(n)=-2(-4)^(n-1)


5. x=-1
remember x^-1=1/x
f(-1)=4(7^-1)=4(1/7)=4/7
f(2)=4(7^2)=4(49)=196


6. remember
(ab)/(cd)=(a/c)(b/d)
also
(x^m)/(x^n)=x^(m-n)
and
(x^m)(x^n)=x^(m+n)

so
(4.5*10^(3))/(9*10^(7))=
((4.5)/(9))((10^(3))/(10^(7)))=
(0.5)(10^(3-7)=
(0.5)(10^-4)=
(5)(10^-1)(10^-4)=
(5)(10^(-1-4)
5*10^-5






4. a_(n)=-2(-4)^(n-1)

5. f(-1)=4/7
f(2)196

6. 5 times 10^-5



Paula's time swimming in the Ironman Triathlon was 1 hour 25 minutes. Her time biking was 5 hours longer than her swimming time. She ran for 4 hours 50 minutes. How long did it take her to complete all three parts of the race? Use the model to help you organize your thinking.

Answers

Answer: 12 hrs 40 mins

Step-by-step explanation:

The swimming time was 1 hour 25 minutes.

Her biking time was 5 hours longer than the swimming time so it was:

= 1 hr 25 mins + 5 hours

= 6 hours 25 mins

Her running time was 4 hrs 50 mins.

Add them all up to find the amount of time ran. First add up the minutes:

= 25 + 25 +50

= 1 hr 40 minutes

Hours = 1 + 6 + 4

= 11 hours

Total:

= 11 + 1 hr 40

= 12 hrs 40 mins

Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It intersects the rainbow at two points. Choose the points where your drone intersects the parabola and create a table of at least four values for the function. Remember to include the two points of intersection in your table.

Answers

The table want to ask to create a table of values for linear function about the said problem, I cant attached table in here but i would help you creating one. First you must consider the variables that could be use in the table to segregate data according to the variables or columns in you table. Then supply the necessary data. I hope this would help 

Find the range for these numbers. 12,9,24,24,37,18,9,6,24

Answers

The difference between the greatest and lowest numbers in a piece of data is the range. The range of the given data set {6, 9, 9, 12, 18, 24, 24, 24, 37} is 31.

What is the range?

The difference between the greatest and lowest numbers in a piece of data is the range. The difference here is that the range of a set of data is determined by subtracting the sample maximum and minimum.

The range of the given data set {6, 9, 9, 12, 18, 24, 24, 24, 37} is,

37-6 = 31

Hence, The range of the given data set {6, 9, 9, 12, 18, 24, 24, 24, 37} is 31.

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The range of a set of data is the difference between the highest and lowest values in the set. Order the number in order from least to greatest.
6,9,9,12,18,24,24,24,37
Then subtract the least number from the greatest number.
37-6=31
So your answer is 31.