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kondor19780726 [428]
3 years ago
5

3/4 of the shirts in a store are black. 50% of the shirts are white and the remaining 12 shirts are red. How many black masks ar

e in the store
Mathematics
1 answer:
saul85 [17]3 years ago
4 0

Answer:

There are total 96 shirts out of which  72 are black and  12 are white and 12 are red.

Step-by-step explanation:

Let the total number of shirts be x.

Then 3/4= 0.75 shirts are black

50% or 50/100 =0.5  of 1/4 ( 1-3/4) remaining are white

and 12 are red

x= 0.75x+0.125x+12

x= 0.875x+ 12

x-0.875x= 12

0.125x= 12

x= 12/0.125

x= 96

There are total 96 shirts out of which 3/4 are black

96*0.75= 72 are black and

96*0.25= 24  are left behind out of which 50% are white.

12 are white and 12 are red.

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Scientists discover two planets orbiting a distant star. The average distance from the star to Planet A is 4 AU, and it takes 43
Kitty [74]

Answer:

Option C - 9 AU

Step-by-step explanation:

To find : What is the average distance from Planet B to the star?

Solution :

According to kepler's law,

The squares of the sidereal periods (of revolution) of the planets are directly proportional to the cubes of their mean distances from the Sun.

i.e. P^2\propto S^3

We have given,

The average distance from the star to Planet A is S_1=4 AU.

It takes 432 Earth days for Planet A to orbit the star i.e. P_1=432

It takes 1,460 days for Planet B to complete an orbit i.e.  P_2=1460

Substitute the values in (\frac{P_1}{P_2})^2=(\frac{S_1}{S_2})^3

(\frac{432}{1460})^2=(\frac{4}{S_2})^3

0.0875=(\frac{4}{S_2})^3

Taking root cube both side,

\sqrt[3]{0.0875}=\frac{4}{S_2}

0.444=\frac{4}{S_2}

S_2=\frac{4}{0.444}

S_2=9.00

The average distance from Planet B to the star is 9 AU.

Therefore, Option C is correct.

5 0
3 years ago
3.You owe $1,032.56 on a credit card with an 11.25% APR. The minimum due is $150.00. What is the difference in the interest accr
Nimfa-mama [501]
Paybeginning $1,032 - $150 = $882.56* 1.00938 = $ 890.84
Pay end $1,032.56 * 1.00938 = $1042.25- $150 = $892.25

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Note: 11.25 / 12 = 0.00938 interest per month
8 0
4 years ago
Read 2 more answers
Find dy/dx and d2y/dx2, and find the slope and concavity (if possible) at the given value of the parameter. (If an answer does n
ella [17]

Answer:

The slope of the function is  ²/₃ and since the second derivative is zero, the concavity doesn't exist.

Step-by-step explanation:

Given;

x = 6t

y = 4t - 3

point t = 4

\frac{dy}{dx} = (\frac{dy}{dt} )/(\frac{dx}{dt} )=\frac{\frac{dy}{dt} }{\frac{dx}{dt}} \\\\\frac{dy}{dt}  = 4; \frac{dx}{dt} = 6\\\\\frac{dy}{dx} =\frac{4}{6} = \frac{2}{3}

The slope of the function is  ²/₃

take the second derivative of the function;

the second derivative will be zero since the first derivative is a constant value.

\frac{d^2y}{dx^2} = 0

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4 0
4 years ago
List the next 4 multiples of the unit fraction . 1/2 ___,___,___,___,
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8 0
4 years ago
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Select the best answer for the question.
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The answer is D. x=6
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