Ask question

Ask question

All categories

3 years ago

10

A grade has 81 girls and 72 boys.The greatest split into groups that have the same ratio girls the boys as a whole grade. How ma

ny girls are in a group that has 16 boys?

1 answer:

I am Lyosha [343]3 years ago

4 0

<span>A grade has 81 girls and 72 boys. The greatest split into groups that have the same ratio girls the boys as a whole grade.
=> Find how many girls are in a group that has 16 boys
Formula and Ratio:
=> 81 : 72 = x : 16 – we need to find the value of girls or the number of girls in the given ratio.
=> 16 * 81 = 1 296
=> 1 296 / 72 = 18
Therefore the value of girls numbers is 18. The new ratio will be:
18 : 16

</span>

You might be interested in

Of 2012 consumers polled, some like only animated movies, some prefer just musicals, and some like both. If 74 people like only

igor_vitrenko [27]

The answer to this is A)52

4 0

3 years ago

How many envelopes does Jane address in a day?

Solnce55 [7]

Answer:

Jane addresses 200 envelopes per day

Step-by-step explanation:

300÷3= 100

100×2= 200

Jane= 200

Louis= 100

7 0

2 years ago

Read 2 more answers

he radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost

elena-s [515]

Answer:

The bones were 12,485 years old at the time they were discovered.

Step-by-step explanation:

Amount of the element:

The amount of the element after t years is given by the following equation, considering the decay rate proportional to the amount present:

$A(t) = A(0)e^{-kt}$

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The radioactive element carbon-14 has a half-life of 5750 years.

This means that $A(5750) = 0.5A(0)$ , and we use this to find k. So

$A(t) = A(0)e^{-kt}$

$0.5A(0) = A(0)e^{-5750k}$

$e^{-5750k} = 0.5$

$\ln{e^{-5750k}} = \ln{0.5}$

$-5750k = \ln{0.5}$

$k = -\frac{\ln{0.5}}{5750}$

$k = 0.00012054733$

So

$A(t) = A(0)e^{-0.00012054733t}$

A scientist determined that the bones from a mastodon had lost 77.8 % of their carbon-14. How old were the bones at the time they were discovered?

Had 100 - 77.8 = 22.2% remaining, so this is t for which:

$A(t) = 0.222A(0)$

Then

$0.222A(0) = A(0)e^{-0.00012054733t}$

$e^{-0.00012054733t} = 0.222$

$\ln{e^{-0.00012054733t}} = \ln{0.222}$

$-0.00012054733t = \ln{0.222}$

$t = -\frac{\ln{0.222}}{0.00012054733}$

$t = 12485$

The bones were 12,485 years old at the time they were discovered.

8 0

3 years ago

Please help I dont know how

Tresset [83]

Answer:

y = 1/2x + 5

Step-by-step explanation:

The line has a slope of one half. If you look at the dots made, take a look at the dot on the y-axis. Then, if you move up one space from that point, and move two spaces to the right of the point, you reach the second dot. This determines the slope which would be written as 1/2x. Then, if you look back to where the line passes through the y axis, you'll see it landed on positive five. This means 5 will be added to the end of the equation. So, y equals the slope plus the y-intercept. y = 1/2x + 5

5 0

3 years ago

Read 2 more answers

the diameter of a cylindrical construction pipe is 4 ft. if the pipe is 19 ft long, what s it’s volume?

choli [55]

Answer:

76 $\pi$ or 238.76 $units^{3}$

Step-by-step explanation:

The volume of a cylinder is V = $\pi r^{2} h$

Here the radius is r = $\frac{1}{2} d$ = $\frac{1}{2}(4)=2$

The height is given as 19 ft

Then plug in all the numbers into the equation

V = $\pi (2^{2})(19) = 76\pi = 238.76 units^{3}$

3 0

3 years ago