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Maurinko [17]
3 years ago
15

on dividing $200 between A and B such that twice of A's share is less than 3 times than B's share by $20

Mathematics
1 answer:
Wittaler [7]3 years ago
8 0

Answer:

Share of A is $116 and Share of B is $84.

Step-by-step explanation:

Let the share of A be x

Let the share of B be y

Given:

$200 is shared between A and B

So, x+y =\$200\ \ \ \ equation \ 1

Also given;

twice of A's share is less than 3 times than B's share by $20

2x= 3y -20\\2x-3y = -20 \ \ \ \ equation \ 2

Solution:

Now multiplying equation 1 by 3 we get,

3x+3y=600 \ \ \ \ equation \ 3

Now Adding equation 2 and equation 3 we get

(2x-3y = -20)+ (3x+3y=600)\\5x=580\\\\x=\frac{580}{5}=\$116

Now Substituting the value of x in equation 1 we get,

x+y=200\\116+y=200\\y=200-116 = \$84

Hence, Share of A is $116 and Share of B is $84.

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A gumball has a diameter that is 66 mm. The diameter of the gumball's spherical hollow core is 58 mm. What is the volume of the
grigory [225]

Answer:

Volume of gumball without including its hollow core is 48347.6 cubic mm.

Step-by-step explanation:

Given:

Diameter of Gumball = 66 mm

Since radius is half of diameter.

Radius of gumball = \frac{diameter}{2}=\frac{66}{2} =33 \ mm

Now We will first find the Volume of Gumball.

To find the Volume of Gumball we will use volume of sphere which is given as;

Volume of Sphere = \frac{4}{3}\pi r^3

Now Volume of Gumball = \frac{4}{3}\times3.14 \times (33)^3 = 150456.24 \ mm^3

Also Given

Diameter of gumball's spherical hollow core = 58 mm

Since radius is half of diameter.

Radius of gumball's spherical hollow core = \frac{diameter}{2}=\frac{58}{2} =29 \ mm

Now We will find the Volume of gumball's spherical hollow core.

Volume of Sphere = \frac{4}{3}\pi r^3

So Volume of gumball's spherical hollow core = \frac{4}{3}\times3.14 \times (29)^3 = 102108.61 \ mm^3

Now We need to find volume of the gumball without including its hollow core.

So, To find volume of the gumball without including its hollow core we would Subtract Volume of gumball spherical hollow core from Volume of Gumball.

volume of the gumball without including its hollow core = Volume of Gumball - Volume of gumball's spherical hollow core = 150456.24\ mm^3 - 102108.61\ mm^3 = 48347.63\ mm^3

Rounding to nearest tenth we get;

volume of the gumball without including its hollow core = 48347.6\ mm^3

Hence Volume of gumball without including its hollow core is 48347.6 cubic mm.

8 0
3 years ago
Factor completely 4x4 − 24x3 + 36x2.
ipn [44]

The previous answer from another person got deleted, so I'm here to put it back in my own words.

(Edit: The answer is A)

First of all, you can take 4 out of each, so simplify everything by 4.

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Next, you can see that you're able to take out x^2

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You can see that both x^2 and 9 are perfect squares, meaning you can crunch them together like this

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This would turn the now factored equation into :

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6 0
3 years ago
Samantha is making a quilt and she has determined she needs 450 square inches of yellow fabric and 478
asambeis [7]

Conversions:

1 yard = 36 inches

The store only sells fabric by the by the quarter yard.

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Total Amount: 12.5+13.3=

<h2><u><em>25.8 square yards</em></u></h2>

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