MATHEMATICS HIGH SCHOOL

Find the quotient. Write your answer in simplest form.

1/3 ÷ 6= 1/18?

Answers

Answer 1
Answer: If you would like to solve 1/3 / 6, you can do this using the following steps:

1/3 / 6 = 1/3 / 6/1 = 1/3 * 1/6 = 1/18

The correct result would be 1/18.
Answer 2
Answer:

Answer:

1/18

Step-by-step explanation:

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A cheetah can run at top speed for only about 20 seconds. If an antelope is too far away for a cheetah to catch it in 20 seconds, the antelope is probably safe. Your friend claims an antelope running 60 feet per second will not be safe if the cheetah running at 90 feet per second is 650 feet behind it. Is your friend correct?

Answers

Your friend is not correct.

It takes the cheetah Approximately 21.67 seconds to run at 90 ft/s to reach the moving antelope.

Given that, a cheetah can run at top speed for only about 20 seconds and the top speed of a cheetah is 90 feet per second.

What is the formula to find the speed of an object?

The formula to find the speed of an object is Speed = Distance / Time.

From the given question in 20 seconds cheetah will cover a distance of:

20 × 90 = 1800 feet

In 20 seconds cheetah will cover a distance of 1800 feet.

It is given that the antelope runs 60 feet per sec

That means in 20 seconds antelope will cover a distance of:

20 × 60 = 1200 feet

In 20 seconds antelope will cover a distance of 1200 feet.

Now add the distance ran initially, because the antelope was ahead of the cheetah from 650 feet.

1200 feet + 650 feet = 1850 feet

But the maximum distance cheetah can cover is 1850 feet. Thus the antelope is still 50 ft ahead of the cheetah.

Therefore, the antelope is probably safe.

Hence, your friend is not correct.

The speed of a cheetah is 30 feet per second more than antelope.

Cheetahs need to cover 50 feet to catch antelope.

So, 50/30 =1.67 seconds

20 seconds + 1.67 second = 21.67 seconds

Therefore, it takes the cheetah approximately 21.67 seconds to run at 90 ft/s to reach the moving antelope.

To learn more about the speed visit:

brainly.com/question/7359669.

#SPJ2
21.7 Seconds Your Friend is Incorrect 90t=650+X 60t=x 90t=60t×650 -60. -60 30t+650 ÷30 ÷ 30 21.7 T= time

Ann can buy either a pair of jeans or shoes with the allowance she saved up. What is the opportunity cost if she buys the jeans?

Answers

The opportunity cost that Ann is going to have if she buys the pair of jeans is the chance to buy the pair of shoes with her allowance. She exchanged her opportunity of buying the shoes by buying the pair of jeans. This is the opportunity cost because the potential of losing the alternative (shoes) happened by purchasing the other.

Answer:

plato answer is A; getting a new pair of shoes

Step-by-step explanation:

A wheel has a radius of 15 cm. Approximately how far does it travel in 4 revolutions?47.1 cm


94.2 cm


188.4 cm


376.8 cm

Answers

Radius is 15 cm
Circumference = 2 pi r
C = 2 x 3.14 x 15cm
C = 94.2 cm
94.2 cm x 4 (revolutions) = 376.8 = D

Both the leftmost digit and the rightmost digit of a four-digit numberN are equal to 1. When these digits are removed, the two-digit number
thus obtained is N ÷ 21. Find N.

Answers

N=1000w+100x+10y+z\nw=z=1\nx,y\in\{0,1,2,\ldots,7,8,9\}\n10x+y=(N)/(21)\n10x+y=(1000w+100x+10y+z)/(21)\n10x+y=(1000+100x+10y+1)/(21)\n10x+y=(100x+10y+1001)/(21)\n210x+21y=100x+10y+1001\n110x+11y-1001=0\n10x+y-91=0\ny=-10x+91\n\n\hbox{The above equation meets the condition }x,y\in\{0,1,2,\ldots,7,8,9\}\n\hbox{only for } x=9:\ny=-10\cdot9+91\ny=-90+91\ny=1\n\n\hbox{Therefore:}\nN=1000\cdot1+100\cdot9+10\cdot1+1\nN=1000+900+10+1\nN=\boxed{1911}

Which shows 4x + 2y = –16 in slope-intercept form? Question 4 options: y = 2x - 8 y = -2x - 8 y = 1/2x - 8 y = 1/2x - 16

Answers

y=-2x-8 is the answer

Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales indollars, x, which can be represented by g(x) = 185 + 0.03x. Jim is paid $275 per week plus 2.5%
of his total sales in dollars, x, which can be represented by f(x) = 275 + 0.025x. Determine the
value of x, in dollars, that will make their weekly pay the same.

Answers

Guy's weekly pay is:
185 dollars + 3/100 * x (3 percent of X -> his total weekly sales in dollars).
Jim's weekly pay is:
275 dollars + 25/1000 * x (2.5 percent of X -> his total weekly sales in dollars, i.e. 2.5/100 = 0.025).
We need to have these weekly pays the same, so we equalize these expressions and solve the obtained equation by x:
185 + 0.03*x = 275 + 0.025*x
we switch free numbers to the right side and unknowns to the left side of equation:
3/100 * x - 25/1000 * x = 275 - 185
3/100 * x - 25/1000 * x = 90 /*1000 (multiply whole equation by a 1000, to loose fractions)
we get:
30*x - 25*x = 90000
5*x = 90000, divide whole equation by 5 (which means both sides of equation):
x = 90000/5
x = 18000 dollars
Value of x is 18 000 for which their weekly pay is the same.
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