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zhuklara [117]
3 years ago
8

Carol is three times older than andrew. brad is two years older than andrew. in six years, the sum of andrew’s and brad’s ages w

ill be the same as carol’s age. how old is carol?
Mathematics
1 answer:
sergejj [24]3 years ago
4 0
Call x Andrew's age.

Then, Carol is 3 times older => Carol's age is 3x

And, Brad is 2 year older than Andrew => Brad's ages x + 2

In six years, Carol's age will be 3x + 6, Brad's age will be x + 2 + 6 and Andrew's age will be x + 6

Then, the sum of Andrew's and Brad's ages in six years will be:

(x + 6)+ (x + 2 + 6) = 3x + 6

Now, you can solve the equation:

x + 6 + x + 8 = 3x + 6

=> 3x - x - x = 8

=> x = 8.

So, today Carol's age = 3x = 3(8) = 24.

Answer: 24 years
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The total value before stock sold would be $16,200 
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3 years ago
Which set of numbers is in order from least to greatest?
ozzi

Eliminate A immediately, because "367,259 < 364,798" is false.

Elim. C because "367,313 < 367,259" is false.

Thus, B is the correct answer.

5 0
3 years ago
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Nadia is investigating rotations about the center of regular polygons that carry the regular polygon onto itself. She claims tha
GalinKa [24]

Answer:

\theta_1 \ n\ \theta_2 = 120, 240

Step-by-step explanation:

The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

Nonagon = 9\ sides

Hexagon = 6\ sides

Divide 360 degrees by the number of sides in each angle, then find the multiples.

<u>Nonagon</u>

\theta = \frac{360}{9} =40

List the multiples of 40

\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320

<u>Hexagon</u>

\theta = \frac{360}{6} =60

List the multiples of 60

\theta_2 = 60, 120, 180, 240, 300

List out the common angles

\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320

\theta_2 = 60, 120, 180, 240, 300

\theta_1 \ n\ \theta_2 = 120, 240

This means that, only a rotation of 120, 240 will lift both shapes onto themselves, when applied to both shapes.

The other angles will only work on one of the shapes, but not both at the same time.

7 0
3 years ago
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
sergiy2304 [10]

After using the algebraic equation, the required value of x = 55/2.

WHAT IS ALGEBRIC EQUATION?
A mathematical statement wherein two expressions have been set equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases. Equations, or the equal sign, simply indicate equality. Equating each quantity with another is what equations are all about. Equations act as a scale of balance. If you've ever seen a balance scale, users know that for the scale to be deemed "balanced," an equal amount of weight must be applied to each side. The scale will tip to one side if we only add weight to one side, and the two sides will no longer be equally weighted.

(x-3)2 = 49

= x-3 = 49/2

= x = (49/2) + 3

= x = 55/2

So, the required value of x = 55/2.

To know more about algebraic equation click on the below given link

brainly.com/question/24875240

#SPJ1

4 0
1 year ago
What is the volume of a hemisphere with a radius of 1.6 and height of 6.2?
qaws [65]
You can find the area of a hemisphere by using the following equation

V = (2/3) (pi)*r^3

so V = (2/3) (pi)*1.6^3

Which comes out as 8.5786423394 or 8.6


6 0
3 years ago
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