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Volgvan
3 years ago
8

John is 5 years older than Mary. In 10 years, twice John's age decreased by Mary's age is 35, and John's age will be

Mathematics
1 answer:
Digiron [165]3 years ago
6 0

Answer:

M=15

J=20

Step-by-step explanation:

Let J and M be the present age of John and Mary respectively:

J=M+5

2(J+10)−(M+10)=35

2(M+5+10)−(M+10)=35

2M+30−M−10=35

M=15

J=20

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Clare estimates that her brother is 4 feet tall. When they get measured at the doctor's office,
avanturin [10]

Answer:

2 inches

Step-by-step explanation:

Since his actual height was 4 feet and 2 inches, instead of the estimate of 4 feet, the difference was 2 inches.

This means the error in inches was also 2 inches, since the estimated height was 2 inches lower than the one at the doctor's office.

So, the error is 2 inches

5 0
3 years ago
Each cone of the hourglass has a height of 12 millimeters. The total height of the sand within the top portion of the hourglass
Ratling [72]

The solution would be like this for this specific problem:

Volume of a cylinder = pi * r^2 * h 

Volume of a cone = 1/3 * pi * r^2 * h 

Total Height = 47

Height of the cone = 12

Height of the cylinder = 35

If the top half is filled with sand, then:

volume (sand) = pi * 4^2 * 36

volume (cone) =  1/3 * pi * 4^2 * 12

Total volume = 1960.353816 cubic millimeters

353816 / (10 * pi) = 62.4 seconds.

It will take 62.4 seconds until all of the sand has dripped to the bottom of the hourglass.

8 0
3 years ago
I need help please and thank you !
Vera_Pavlovna [14]

Answer:

π(12x^3y^5z)^2

Step-by-step explanation:

I doubt your teacher would want you to evaluate the whole thing but if they do leave a comment

8 0
3 years ago
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Sergeeva-Olga [200]

Answer:

trueeee :) that is my answer

6 0
3 years ago
simplify the following expression: (x+7/4x) + (5/x-8) I also attached a photo of the problem if you get confused on how I typed
Gnoma [55]

Answer:

\frac{x^{2}  + 19x - 56}{4 {x}^{2}   - 32x}

Step-by-step explanation:

Start by making the denominators of both fraction the same. This can be done by multiplying one fraction's denominator by the other.

After simplifying and combining the two fractions together, check if the numerator can be factorised such that there is a common factor in the denominator and numerator. In this case, the numerator cannot be factorised.

Lastly, expand the denominator.

\frac{x + 7}{4x}  +  \frac{5}{x - 8}

=  \frac{(x + 7)(x - 8)}{4x(x - 8)}  +  \frac{5(4x)}{4x(x - 8)}

=  \frac{x(x) + x( - 8) + 7(x) + 7( - 8) + 20x}{4x(x - 8)}

=  \frac{ {x}^{2} - 8x + 7x - 56 + 20x }{4x(x - 8)}

=  \frac{ {x}^{2}  + 19x - 56}{4x(x - 8)}

=  \frac{ {x}^{2}  + 19x - 56}{4 {x}^{2}  -  32x}

7 0
2 years ago
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