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meriva
3 years ago
8

Identify the common factors of each set of numbers. 1. 12 and 20 2. 24 and 30

Mathematics
1 answer:
nevsk [136]3 years ago
8 0

Answer:

The common factors of 12 and 20 are 4 and the common factors of 24 and 30 are 6.

Step-by-step explanation:

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1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of v
Ad libitum [116K]

Answer: (a) The ratio of spirit to varnish is 1 : 3

(b) You will need 80 ml of mineral spirits

(c) Ratio = 3 : 2

Step-by-step explanation: (a) If you have to mix 25% mineral spirit to the varnish as required in the question, then the whole solution would effectively contain 25 percent spirit and 75 percent varnish, giving you a hundred percent solution. To express both quantities in ratio can be done as follows;

Ratio = Spirit : Varnish

Ratio = 25 : 75

Ratio = 1 : 3

(b) Next, if you use 240 ml of varnish, this quantity would constitute 75 percent or ratio 3 out of 4 of your total solution. Therefore 240 ml of varnish can be expressed as follows;

240 : x = 3 : 4

Where x is the total solution and the right hand side (3 : 4) expresses the ratio of varnish in relation to the total solution. Hence,

240/x = 3/4

By cross multiplication you now have,

3x = 240 * 4

x = 960/3

x = 320

If x is the total solution which is 320 ml, and varnish constitutes 240 ml, then spirit equals,

Spirit = Total solution - varnish

Spirit = 320 - 240

Spirit = 80.

Therefore, you would need 80 ml of mineral spirits.

(c) Robson's tapestries all measure 1.5 m by 1 m. This can be expressed in whole numbers by first eliminating the decimal. Multiplying both dimensions by 10 results in,

1.5 (10) x 1 (10)

15 x 10

If both measurements can also be expressed as 15 m by 10 m, then reducing to the least terms would result in 3 by 2. That is,

15/5 by 10/5

3 by 2

Expressed as a ratio, this now becomes

Ratio = 3 : 2

6 0
3 years ago
The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π?
olga nikolaevna [1]

Answer:

The volume of the cone is;

100 π inches^3

Step-by-step explanation:

To calculate the volume, we need the height

We can get the height from the slant height and the radius

Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle

The right-angled triangle has the slant height as its hypotenuse

By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

Let the height be h

Thus;

12^2 = 5^2 + h^2

169= 25 + h^2

h^2 = 169-25

h^2 = 144

h = √1144 inches = 12 inches

The volume of the cone is;

1/3 * π * r^2 * h

= 1/3 * π * 5^2 * 12

= 100 π inches^3

4 0
2 years ago
I need the answer of this with steps and solutions fast plz​
Natali [406]

Answer:

1 \dfrac{13}{15}

Step-by-step explanation:

2 \dfrac{1}{5} - \dfrac{1}{3} =

= \dfrac{11}{5} - \dfrac{1}{3}

= \dfrac{33}{15} - \dfrac{5}{15}

= \dfrac{28}{15}

= 1 \dfrac{13}{15}

6 0
3 years ago
WILL GIVE BRAINLIEST!!!​
Dahasolnce [82]

Answer:

(3/4)*x

Step-by-step explanation:

Dilation really means  the multiply the scale factor  to every segment of the original figure or shape to get the new transformed figure.

so  (3/4) * (segment lengths) = (new segment lengths)

5 0
3 years ago
Find the following System by the cramer's rule 4x-2y=8 3x+y=-4
In-s [12.5K]

Answer:

the value of x is 0 and y is -4.

hope it helps uh..

4 0
3 years ago
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