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SVETLANKA909090 [29]
3 years ago
7

There are c amount in a box . 11 of the counters are green. Benedict take 20 counters at random from the box. 4 of these counter

s are green. Work out the estimate for the value of c.
Mathematics
1 answer:
Mashcka [7]3 years ago
4 0

Answer:

There are total 55 counters out of which 11 are green and 44 are other color.

Step-by-step explanation:

This is a ratio and proportion question. There are c amount of counters in the  box .

The chosen have the same ratio as in the box

Green : total

4:         20

11:          x

Using cross product rule

x * 4= 20 *11

x= 20*11/4

x= 55

So there are total 55 counters out of which 11 are green and 44 are other color.

Benedict take 20 counters out of which 4 are green.

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A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 59 cred
DedPeter [7]

Answer:

They completed 13, 3 credit classes

Step-by-step explanation:

1. Make 2 formulas. In this case: x+y=18

and 3x+4y=59

2. Then multiply x+y=18 by 3 and subtract the two equations.

Find y which is 5 and input into the equations. Then find your answer.

5 0
3 years ago
The population of rabbits on an island is growing exponentially. In the year 1994, the population of rabbits was 9600, and by 20
drek231 [11]

Answer:

49243

Step-by-step explanation:

Given that the population of rabbits on an island is growing exponentially.

Let the population, P=P_0e^{bt}

where, P_0 and b are constants, t=(Current year -1994) is the time in years from 1994.

In 1994, t=0, the population of rabbit, P=9600, so

9600=P_0e^{b\times 0}

So, P_0=9600

and in 2000, t=2000-1994=6 years and population of the rabbit, P=18400

18400=9600 \times e^{b\times 6} \\\\\frac{18400}{9600}=e^{b\times 6} \\\\

\ln(23/12}=6b \\\\

b = \frac{\ln{1.92}}{6} \\\\

b=0.109

On putting the value of P_0 and b, the population of the rabbit after t years from 1994 is

P=9600 \times e^{0.109\times t}

In 2009, t= 2009-1994=15 years,

So, the population of the rabbit in 2009

P=9600 \times e^{0.109\times 15}=49243

Hence, the population of the rabbit in 2009 is 49243.

7 0
3 years ago
What is the radius and diameter of the circle 14
gizmo_the_mogwai [7]

Answer:

it is

D=14

R=7

Step-by-step explanation:

sorry if it is incorrect

3 0
3 years ago
A cube and a square pyramid were joined to form the composite solid.
Yakvenalex [24]
We know that
<span>total surface area of the composite solid=surface area of the pyramid+surface area of the cube

surface area of the pyramid=4*area of lateral triangle side
area of lateral triangle side=12*9/2----> 54 in</span>²
surface area of the pyramid=4*54---> 216 in²

surface area of the cube=5*[12*12]----> 720 in²

total surface area of the composite solid=216 in²+720 in²---> 936 in²

the answer is the option
<span>936 square inches </span>
5 0
3 years ago
If x = 64, what is the value of x(x - 6)?
Fiesta28 [93]

Answer:

64(64-6) = 3712

Step-by-step explanation:

64(64 -6)

64-6 = 58

64(58) = 3712

7 0
3 years ago
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