In the system -12c+3d=6 and -3c+6d=-9, which expression could you use for substitution?. A. d=-1/2c-3/2. B.c=-2d+3. C.c=1/4d-1/2. D. d=4c-2

Answers

Answer 1

Answer: The system:
- 12 c + 3 d = 6
- 3 c + 6 d = - 9
----------------------
The 1st equation:
- 12 c = - 3 d + 6 / * ( - 1) ( multiple both sides by -1 )
12 c = 3 d - 6 / : 12 ( divide both sides by 12 )
c = d / 4 - 1/2
Answer:
C ) c = 1/4 d - 1/2

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7. Find the circumference of a circle if the area is 300 square centimeters. A. 84.74 cm
B. 9.77 cm
C. 56.25 cm
D. 61.38 cm

Answers

So the formula for a circle is Pie * r^2
If you divide 300 by pie and then Square root it you would get your radius
And once you have the radius you would use the equation of 2pie * r to find the circumfrence.
Answer is D. 61.38

Answer:

the correct answer is 61.38 cm, which is D

Step-by-step explanation:

If a smoothie recipe calls for 8 pints of mango juice but only 10 cups of mango juice are available, what is the scaling factor the other ingredients in the recipe need to be multiplied by?

Answers

The amount of recipes is 6

1.25 if you are increasing the amount 0.8 if you are decreasing.

The mean of a normally distributed dataset is 12, and the standard deviation is 2.what ? % of the data points lies between 8 and 16.

Answers

In the Normal distribution: if the mean (M) is 12 and the standard deviation (s)is 2, then between 8 (12- 2*2, or M - 2 s) and 16 (12 + 2*2, or M+2 s ),or between M - 2 s and M + 2 s lies 13.6 %+ 34.1% + 34.1 % + 13.6% = 95.4% data points. Graph is in the attachment.

The correct answer is:

95%

Explanation:

The empirical rule states that 68% of normally distributed data lie within 1 standard deviation of the mean; 95% lie within 2 standard deviations of the mean; and 99.7% lie within 3 standard deviations of the mean.

The mean is 12 and the standard deviation is 2. This means that values from 10 to 14 (12-2, 12+2) are within 1 standard deviation of the mean.

Values from 8 to 16 (12-2-2, 12+2+2) are within 2 standard deviations of the mean. These are the values in question; this means that 95% of the data lie within this range.

What is the answer to 5 times 3/4

Answers

5 x 3 = 15 = 3 3/4 or 3.75
4 4

Answer:

3 3/4 or 3.75

Step-by-step explanation: I did it

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Answers

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Solve for x.

2003-05-04-00-00_files/i0060000.jpg

Answers

Given the equation: (km / 3) - 2x = 4, it is essential to isolate x to obtain the expression to solve it. This is done below:

(km / 3) - 2x = 4

Adding 2x to both sides:

(km / 3) - 2x + 2x = 4 + 2x
(km / 3) = 4 + 2x

Subtracting 4 from both sides:

(km / 3) - 4 = 4 + 2x - 4
(km / 3) - 4 = 2x

Dividing 2 from both sides:

[(km / 3) - 4] /2 = 2x /2
[(km / 3) - 4] /2 = x
x = (km / 6) - 2

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