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4 years ago

What is (4a-12)+3a=6a+1

1 answer:

4 0

(4a-12)+3a= 6a+1

Combine like terms.

7a-12= 6a+1

Add 12 to the other side.

7a= 6a+13

Subtract 6a on both sides.

a= 13

I hope this helps!
~kaikers

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The areas of the two watch faces have a ratio of 16:25 What is the ratio of the radius of the smaller watch face to the radius o

Leona [35]

Answer:

The ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

Step-by-step explanation:

Let the Area of smaller watch face be $A_1$

Also Let the Area of Larger watch face be $A_2$

Also Let the radius of smaller watch face be $r_1$

Also Let the radius of Larger watch face be $r_2$

Now given:

$\frac{A_1}{A_2} =\frac{16}{25}$

We need to find the ratio of the radius of the smaller watch face to the radius of the larger watch face.

Solution:

Since the watch face is in circular form.

Then we can say that;

Area of the circle is equal 'π' times square of the radius 'r'.

framing in equation form we get;

$A_1 = \pi {r_1}^2$

$A_2 = \pi {r_2}^2$

So we get;

$\frac{A_1}{A_2}= \frac{\pi {r_1}^2}{\pi {r_2}^2}$

Substituting the value we get;

$\frac{16}{25}= \frac{\pi {r_1}^2}{\pi {r_2}^2}$

Now 'π' from numerator and denominator gets cancelled.

$\frac{16}{25}= \frac{{r_1}^2}{{r_2}^2}$

Now Taking square roots on both side we get;

$\sqrt{\frac{16}{25}}= \sqrt{\frac{{r_1}^2}{{r_2}^2}}\\\\\frac{4}{5}= \frac{r_1}{r_2}$

Hence the ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

7 0

3 years ago

Raymond is building a fence for a dog run. the dog run will be a rectangle with a length of 24 feet and a width that is 2/5 the

Cerrena [4.2K]

Answer:

The perimeter of the dog run will use 67.2 feet of fencing.

Step-by-step explanation:

First find how long the width is.

24 * 2/5 = 9.6

The width of the fence is 9.6 feet.

To find the total perimeter, add double the length and width.

24 * 2 = 48

9.6 * 2 = 19.2

48 + 19.2 = 67.2

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3 years ago

MATHSWATCH

Jobisdone [24]

Answer:19683x

Step-by-step explanation:

Evaluate the exponent

27.93x

27.729x

i am pretty sure sorry if I am wrong

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3 years ago

What is the answer to ...8.42 x 9

3241004551 [841]

Answer:

75.78

Step-by-step explanation:

8.42*9=75.78

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3 years ago

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Select all the equations that have the same solution as the equation 3x−12=24

evablogger [386]

Answer:

3x=36, so x=12

Step-by-step explanation:

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3 years ago