All categories

3 years ago

What is the greatest common factor (gcf) for all terms in the following expression? 15x+18y+3z+21

Mathematics

2 answers:

PSYCHO15rus [73]3 years ago

8 0

Answer: (gcf)=3

Step-by-step explanation: 15x+18y+3z+21=0/-21

3(5x +6y+ z) = 0 -21

3(5x +6y+z)= -21(/3)

5x+6y+z= -7

30x+ 30y +z =-7/x30

30(x+y)+z= -210(/30)

x+y+z= 70

so now

x=0

y=0

z=70

..................

x=1

y=1

z=68

...............

x=2

y=2

z=66

................

x=3

y=3

z=63

.....................

x=4

y=4

z=62

......................

x=5

y=5

z=60

...................

etc u can also consider the negative values so as a conclusion 3 is the greatest common factor :)

user100 [1]3 years ago

4 0

The GCF is 3 :)))))))))))))

You might be interested in

The mass, m, of an object varies directly as the cube of its length, I.

steposvetlana [31]

Answer:

m = 686.

Step-by-step explanation:

Direct variation :

m= kl^3 where k is a constant.

m = 250 when l = 5, so

250 = k *(5)^3

k = 250 / 125 = 2

So the equation of variation is m = 2l^3.

When l = 7:

m = 2 * (7)*3

= 2 * 343

= 686.

6 0

3 years ago

Read 2 more answers

The rectangular prism is made of 8 cubes and has and edge length of 1/2 in, what is the volume

sashaice [31]

Hello!

To find the volume of the prism you first have to find the volume of a cube

To do this you use the equation

$V = a^{3}$

V is volume
a is side length

Put in the values you know

$V = \frac{1}{2}^{3}$

Solve

V = 0.125

Now to find the volume of the prism you multiply the volume of one cube by the amount of cubes in the prism

0.125 * 8 = 1

The answer is 1 cubic inch

Hope this helps!

4 0

4 years ago

Cube A has a volume of 9 in3. Cube B has a volume of 5 in3. Which of the following expresses the ratio of the side length of Cub

Troyanec [42]

Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:

$r = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}$