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3 years ago

Apply the distributuve property to factor out the greatest commmon facto 32+44

Mathematics

2 answers:

Crazy boy [7]3 years ago

5 0

Answer:

4 (8+11)

Step-by-step explanation:

Found the greatest common factor: 4

Divided booth by it

32/4 + 44/4

8 + 11

4 (8+11)

VARVARA [1.3K]3 years ago

3 0

4 is the greatest common factor of 32 and 44

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A large cube has a volume of 1 cubic unit. A small cube has a volume of 1 27 of a cubic unit. What is the difference between the

ExtremeBDS [4]

Given:

Volume of Large cube = 1 cubic unit

Volume of small cube = $\dfrac{1}{27}$ cubic unit

To find:

The difference between the edge length of the large cube and the edge length of the small cube.

Solution:

Let the edges of large and small cubes are $a_1$ and $a_2$ respectively.

We know that, volume of a cube is

$V=(edge)^3$

Volume of Large cube = 1 cubic unit

$(a_1)^3=1$

Taking cube root on both sides, we get

$a_1=1$

So, edge of large cube is 1 unit.

Volume of small cube = $\dfrac{1}{27}$ cubic unit

$(a_2)^3=\dfrac{1}{27}$

Taking cube root on both sides, we get

$a_2=\dfrac{1}{3}$

So, edge of large cube is $\dfrac{1}{3}$ unit.

Now, difference between them is

$d=a_1-a-2$

$d=1-\dfrac{1}{3}$

$d=\dfrac{3-1}{3}$

$d=\dfrac{2}{3}$

Therefore, the difference between the edge length of the large cube and the edge length of the small cube is $\dfrac{2}{3}$ unit.

6 0

3 years ago

Solve for points. identify the vertex and indicate whether it is max or min.

Keith_Richards [23]

Answer:

min at (3, 0 )

Step-by-step explanation:

given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

then the x- coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

y = (x - 3)² = x² - 6x + 9 ← in standard form

with a = 1 and b = - 6 , then

$x_{vertex}$ = - $\frac{-6}{2}$ = 3

substitute x = 3 into the equation for corresponding value of y

y = (3 - 3)² = 0² = 0

vertex = (3, 0 )

• if a > 0 then vertex is minimum

• if a < 0 then vertex is maximum

here a = 1 > 0 then (3, 0 ) is a minimum

4 0

1 year ago

Given a triangle with perimeter 63 cm, one side of which is 21 cm, and one of the medians is perpendicular to one of its angle b

Rainbow [258]

Answer:

The lengths of all sides of the triangle will be 21 cm, 21 cm, and 21 cm

Step-by-step explanation:

Given that the perimeter of the triangle = 63 cm

And the length of one side = 21 cm

and one of the medians is perpendicular to one of its angle bisectors

Since triangle has 3 sides,

Median = 63 ÷ 3 = 21

Therefore each side length = 21 cm

7 0

3 years ago

What is the constant of variation for the quadratic variation?

Tatiana [17]

Answer:

Step-by-step explanation:

x=35

y=7

4 0

2 years ago

Sally is making 15 individual blueberry cheesecakes. How many pounds of blueberries will be in each cheesecake it 5 and 1/4 poun

KiRa [710]

Answer:

.35lbs or 7/20lbs

Step-by-step explanation:

if 5 1/4 lbs of blueberries are being distributed evenly through 15 cheesecakes, you would divide 5 1/4 by 15 to see how many lbs of blueberries would be in each cheesecake, which would make .35 lbs of blueberries per cheesecake, or 7/20 lbs.

4 0

3 years ago

Read 2 more answers

Apply the distributuve property to factor out the greatest commmon facto 32+44​

Apply the distributuve property to factor out the greatest commmon facto 32+44