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?

Answers

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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Last month, Sunglass Kiosk had total sales of $9,720. Merchandise totaling $110 was returned. The goods that were sold cost Sunglass Kiosk $4,864. Operating expenses for the month were $1,180. What is the net income Sunglasss Kiosk will put on its income statement?

Answers

Given:
Total sales = 9,720
COGS = 4,864
returns = 110
Opex = 1180

(9720 - 4864)/4864 = 4,856/4864 = 0.9984 
110 x 0.9984 = 109.82

Sales: 9,720 - 110 = 9,610
COGS: 4,864 - 109.82 = 4754.18

9,610 - 4754.18 - 1,180 = 3,675.82 net income.

The diameter of a bicycle wheel is 2 feet.About how many revolutions does the wheel make to travel 2 kilometers?Explain.Hint 1 km =3280ft.

Answers

We can work out the circumference of the wheel by using the equation

C = πd

C = π × 2
C = 6.28318530718
C = 6 feet

If 1km is 3280 feet, 2km is 6560 feet

6560 
÷ 6 = 1093.33333333 (recurring)
= 1093

Therefore the bike wheels rolls (approximately) 1093 times to cover 2km.

The least common multiple of 3, 4, 6, and 8 is
A. 72.
B. 24.
C. 96.
D. 8.

Answers

Answer:

B. 24

Step-by-step explanation:

The least common multiple  of two numbers is the smallest number

that is a multiple of  all the numbers ( except 0)

Let us look at the multiples of the numbers given:

The multiples of 3,4,6 and 8 are:

3:    3,6,9,12,15,18,21,24.

4:    4,8,12,16,20,24.

6:     6,12,18,24.

8:    8,16,24.

24 is the smallest number that is a common multiple of all the numbers.

The least common multiple of 3, 4, 6, and 8 is 24.

The least common multiple of 3, 4, 6, and 8 is 24.

List the multiples out:

3: 3, 6, 9, 12, 15, 18, 21, 24
4: 4, 8, 12, 16, 20, 24
6: 6, 12, 18, 24
8: 8, 16, 24

A box that has a width of 3 inches and a length of 4 inches is used to ship apart. The part lies along the diagonal of the bottom of the box. What is the
longest possible length of the part?
3 in
4 in
A. 2 in
O
B. 7 in
O C. 1 in
D. 5 in

Answers

Answer:D.5

Step-by-step explanation:

Receipt-of-goods discounts tend to be offered in cases where?

Answers

Answer:

Step-by-step explanation:

Andy completes the square for the equation x2 + 6x - 8 = 0. Which of the following equations reveals the vertex of the parabola? will fan and medal

Answers

If the equation x^2+6x-8 has undergo completing the square, the answer would be:
x^2+6x-8
x^2+6x+9-8-9
**In this example, since 6x is the middle term, what comes to my mind is the polynomial (x+3) because 2ab results into 6x. [from the special products lesson (a+b)^2=a^2+2ab+b^2
(x+3)^2 -17 = 0
So if the equation is equal to y, then this equation's
y+17=(x+3)^2
The vertex would be on the point (-3, -17)

Answer:

(h,k) in the cuadratic formula y= a(x-h)^2 + k

Step-by-step explanation:

If you complete square in a cuadratic formula the vertex of the parabola will be more visible. In the case of f(x)= x^(2)+6x-8 we complete square adding and substracting 9. So,

x^(2)+6x+9-9-8 = (x+3)^(2)-17

So we have the cuadratic form of a parabola y= a(x-h)^(2) + k where a=1, h= -3 and k= -17.

So, the vertex is (h,k)=(-3,-17).