All categories

4 years ago

What is five sixths of sixty

1 answer:

6 0

First you must change 60 into a fraction by putting it over 1
$\frac{5}{6}$ × $\frac{60}{1}$ = $\frac{300}{6}$
Then you divide the numerator(top) by the denominator(bottom) to get the answer
300÷6=50
Your answer is 50

You might be interested in

A job calls for installing 270 lighting fixtures. If 81 fixtures have been installed so far, what

Vesnalui [34]

Answer:

70%

Step-by-step explanation:

First find the ones that still need to be installed

270-81

189

Percent to be done = number to be installed / total

=189/270 =.7

Change to percent form = .7 *100% = 70%

5 0

3 years ago

a baseball diamond is square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 24ft / s. at wha

julia-pushkina [17]

When I see "at what rate", I know this question must come from
pre-Calculus, so I won't feel bad using a little Calculus to solve it.

-- The runner, first-base, and second-base form a right triangle.
    The right angle is at first-base.

-- One leg of the triangle is the line from first- to second-base.
   It's 90-ft long, and it doesn't change.

-- The other leg of the triangle is the line from the runner to first-base.
    Its length is 90-24T. ('T' is the seconds since the runner left home plate.)

-- The hypotenuse of the right triangle is

   square root of [ 90² + (90-24T)² ] =

   square root of [ 8100 + 8100 - 4320T + 576 T² ] =

   square root of [ 576 T² - 4320 T + 16,200 ]

We want to know how fast this distance is changing
when the runner is half-way to first base.

Before we figure out when that will be, we know that since
the question is asking about how fast this quantity is changing,
sooner or later we're going to need its derivative. Let's bite the
bullet and do that now, so we won't have to worry about it.

   Derivative of [ 576 T² - 4320 T + 16,200 ] ^ 1/2 =

(1/2) [ 576 T² - 4320 T + 16,200 ] ^ -1/2 times (576T - 4320) .

There it is. Ugly but manageable.

How fast is this quantity changing when the runner is halfway to first-base ?
Well, we need to know when that is ... how many seconds after he leaves
the plate.

Total time it takes him to reach first-base = (90 ft)/(24 ft/sec) = 3.75 sec .
He's halfway there when   T = (3.75 / 2) = 1.875 seconds. (Seems fast.)

Now all we have to do is plug in 1.875 wherever we see 'T' in the big derivative,
and we'll know the rate at which that hypotenuse is changing at that time.
Here goes. Take a deep breath:

(1/2) [ 576 T² - 4320 T + 16,200 ] ^ -1/2 times (576T - 4320) =

[ 576 T² - 4320 T + 16,200 ] ^ -1/2 times (1152T - 8640) =

[576(1.875)² - 4320(1.875) + 16,200]^-1/2 times [1152(1.875)-8640] =

[ 2,025 - 8,100 + 16,200 ] ^ -1/2 times [ 2,160 - 8640 ] =

- 6480 / √10,125 =   - 64.4 ft/sec.

I have a strong hunch that this answer is absurd, but I'm not going to waste
any more time on it, (especially not for 5 points, if you'll forgive me).
I've outlined a method of analysis and an approach to the solution, and
I believe both of them are reasonable. I'm sure you can take it from there,
and I hope you have better luck with your arithmetic than I've had with mine.

4 0

3 years ago

The price of a telephone reduced form Rs 3500 to Rs 3200. What percentage is decreased from its original price?

KIM [24]

Given :-

The price of a telephone reduced form Rs 3500 to Rs 3200.

To Find :-

Percentage decrease from it's original price .

Solution :-

Here the initial cost is Rs 3500 and the new cost is Rs 3200. So the decrease in its price is ,

→ Decrease = Rs 3500 - Rs 3200

→ Decrease = Rs 300

Now we may find the % change in its price by ,

→ Decrease in cost/Initial cost * 100 %

→ Rs 300 /Rs 3500 * 100 %

→ 8.57%

Hence the price is decreased by 8.57% .

I hope this helps.

5 0

2 years ago

Read 2 more answers

A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have.

nevsk [136]

Answer:

where is the other dot plot

5 0

3 years ago

What are the zeros of the polynomial function f (x)=x^2+9x-70

Molodets [167]

The zeros are at -14 and 5

7 0

3 years ago