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

## Related Questions

1. Determine whether the regular hexagon has reflection symmetry, rotation symmetry, both, or neither. If it has reflection symmetry, state the number of axes of symmetry. If it has rotation symmetry, state the angle of rotation. For each type of symmetry, explain how you can tell the figure does or does not have the given symmetry.

A hexagon is a 6 sided polygon which has a 720° total of internal angles.
A regular hexagon has both reflective and rotation symmetry.
It has 6 rotational symmetries with an angle of 60°.
It has 6 reflection symmetries meaning it has 6 lines of axes.

It is easy to see if there is Reflection symmetry because one half of the whole is the reflection of the other half. In a regular hexagon, you can draw 6 lines across it and still have reflection symmetry.

In Rotational symmetry, the image is rotated around a central point and still  looks the same. The regular hexagon is rotated 12 times at an angle of 60°.

In a translation, the y-coordinates of the pre-image increase by 8. What was the translation?8 units up

8 units down

8 units left

8 units right

y coordinates control up and down

increase by 8 means go up by 8

8 units up
So,

A translation is a transformation in which the figure is simply moved across space; the preimage is congruent to the image.

We are told that the y-coordinate of the preimage increase by 8.  We know that the y-coordinates have to do with vertical movement on a coordinate plane.  Since the y-coordinates increased by 8, the preimage was moved up 8 units.

The correct option is A.

(2((x+1) ^3 – (x+1) ^2 + (x+1)) )+3

( x + 1 )^3 = x^3 + 3x^2 +3x + 1;
(x + 1 )^2 = x^2 + 2x + 1;
=> (2((x+1) ^3 – (x+1) ^2 + (x+1)) )+3 =2( x^3 + 3x^2 +3x + 1 - x^2 -2x - 1 + x + 1 ) + 3 = 2( x^3 + 2x^2 + 2x + 1 ) + 3 =
= 2x^3 +4x^2 +4x + 5.

29,27,24,20,15... whats next

The pattern of the given series i.e 29,27,24,20,15,9.

Given that,

• The pattern is 29,27,24,20,15.
• Based on the above pattern we can see that the number is first decreased by 2, then 3, then 4 and so on.

Based on this, it should be like this

29-2 = 27

27 - 3 = 24

24 - 4 = 20

20 - 5 = 15

15-6 = 9

Therefore we can conclude that the pattern of the given series i.e 29,27,24,20,15,9.

The pattern is subtracting the numbers in the increasing sequence. (-1, -2, -3, -4, etc.) 29-2=27, 27-3=24, 24-4=20, 20-5=15, so 15-6=9

What is 7.3519 to 1 decimal place?

Well, the first decimal place is the tenth place, so if you do NOT want to round, then your answer would be 7.3.
If you DO want to round, your answer would be 7.4 because there is a five in the hundredths place.

I hope this helped you!

Evaluate the expression

Step-by-step explanation:

To solve this problem, we want to use the order of operations, or PEMDAS.

Parenthesis

Exponent

Multiply

Divide

Subtract

To be more specific, you evaluate the expression in the order from top to bottom. To clarify, it is multiply OR divide, depending on which comes first, left to right. This also applies to add OR subtract.

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20÷(5-3)+5²(3)                              [solve parenthesis]

20÷(2)+5²(3)                                 [solve exponent]

20÷2+25(3)                                   [solve multiply or divide, left to right]

85

85

Step-by-step explanation:

To evaluate the expression, follow the rule of PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

Solve inside the parentheses first by subtracting 3 from 5.

5-3 = 2

Next, evaluate the exponent.

5² = 5*5= 25

Next, multiply 25 and 3.

25 *3 =75

Then, divide 20 by 2.

20/2=10