A toddler takes off running down the sidewalk at 270 ft/min. One minute later, a worried mother runs after the child at 580 ft/min. After how many minutes will the mother overtake the toddler?


Answer 1
Answer: we know that in one minute the toddler is 2(270)=540 feet and mother is 580 so less than 1 minute

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In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π/5 radians.What is the arc length?Use 3.14 for πand round your final answer to the nearest hundredth.Make sure to show your calculations.

What property does the statement show? ( 4 x 8 ) x 3 = ( 4 x 4 ) x 3


Answer: Associative property of multiplication.

Step-by-step explanation:

The property demonstrated by the statement "(4 x 8) x 3 = (4 x 4) x 3" is the associative property of multiplication.

The associative property of multiplication states that you can change the grouping of numbers in a multiplication expression without changing the result. In this case, both sides of the equation involve multiplication, and the numbers being multiplied are grouped differently but still yield the same result.

commutative property of multiplication

After making a deposit, puja had $264 in her savings account. She noticed that if she added $26 to the amount originally in the account and doubled the sum, she would get the new amount. How much did she have in the account?


Most people have issues with word problems because they do not go through the words in the question very minutely. It is of immense importance to go through all the data that has been provided in the question.
Let us assume the original amount that Puja had in her account = x dollars
Then from the details already given in the question, we can arrive at the equation
x + 26 + x + 26 = 264
2x + 52 = 264
2x = 264 - 52
2x = 212
x = 212/2
   = 106
From the above deduction we can conclude that the amount Puja originally had in her account was $106. I hope the procedure is clear enough for you to understand.

Answer: $106.00 in the account

Write an equation of the line in​ point-slope form that passes through the given points. (1,4) and (2,8)



y = 4x

Step-by-step explanation:

Slope: (y-y)/(x-x) = (8-4)/(2-1) = 4/1 = 4

Point: (1,4))

y-y = m(x-x)

y - 4 = 4(x - 1)

y - 4 = 4x - 4

y = 4x - 4 + 4

y = 4x

Find the slope and y-intercept of the line.
y = 2x + 5


y = 2x + 5 is in the form of y = mx + b, where m is the slope and b is the y-intercept.

y = 2x + 5
y = mx + b

m = slope = 2
y-intercept = b = 5

The slope of the line is 2.
The y-intercept of the line is 5.

The slope and y-intercept of the line are 2 and 5 respectively.

How to find the slope and y-intercept of the line?

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The general form of  the equation of a line is y = mx + b,

where m is the slope and b is the y-intercept

We have:

y = 2x + 5

Comparing with y = mx + b:

slope (m) = 2

y-intercept (b) = 6

Learn more about equation of a line on:



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John is going to invest $820 and leave it in an account for 19 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for John to end up with $1,830?


John would need an interest rate of 7.6% in order to end up with $1,830 after 19 years of investing $820 compounded quarterly