All categories

4 years ago

The expression 27 + 45 as a product using the GCF and distributive property.

Mathematics

1 answer:

Bogdan [553]4 years ago

5 0

Answer:

(a) By Greatest Common Factor: (27 + 45 ) = 3( 9 + 15)

(b) By distributive property: (27 + 45 ) = 9(3) + 9(5)

Step-by-step explanation:

Here, the given expression is 27 + 45 .

Now, by Prime Factorization:

27 = 3 x 3 x 3

45 = 3 x 3 x 5

Here, the 3 is the ONLY prime common factor.

So, the Greatest Common Factor = 3

⇒ (27 + 45 ) = 3( 9 + 15)

Hence, by Greatest Common Factor: (27 + 45 ) = 3( 9 + 15)

Now, by distributive property:

A( B + C) = AB + AC

Here, in the given expression:

(27 + 45 ) = 9 ( 3 + 5) = 9(3) + 9(5)

or, (27 + 45 ) = 9(3) + 9(5)

Hence, by distributive property: (27 + 45 ) = 9(3) + 9(5)

You might be interested in

If x is 3 what is 2x?

Aleks [24]

Answer:

Step-by-step explanation:

2*3=6

8 0

3 years ago

Read 2 more answers

What is the simplified form of square root 64x^16? 8x^4 8x^8 32x^4 32x^8

DIA [1.3K]

None of the answers is true

3 0

3 years ago

How many square inches of sheet metal are used to make the vent transition shown? (The ends are open.)

ad-work [718]

Answer:

Area of the metal sheet required = 364 square inches

Step-by-step explanation:

Area of the metal sheet required = Surface area of the lateral sides of the vent transition

Since, lateral sides of the vent is in the shape of a trapezoid,

Therefore, surface area of the vent = 4(Surface area of one lateral side)

= $4[\frac{1}{2}(b_1+b_2)h]$

Here, $b_1$ and $b_2$ are two parallel sides and $h$ is the distance between these parallel sides.

Surface area of the vent = $4[\frac{1}{2}(8+5)14]$

= 364 square inches

Therefore, area of the metal sheet required = 364 square inches

3 0

3 years ago

A car dealership sold 850 cars last year. This year the dealership sold 715 cars. What is the percent decrease, to the nearest p

Bumek [7]

The answer is 16%

Hope this helps :)

3 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu.

uranmaximum [27]

Answer:

Lincoln Avenue is represented by the line $x = 5$ , which is a VERTICAL LINE.

Step-by-step explanation:

The equation of the line of Washington Avenue, x = 3, suggests that the line is a vertical line, since a vertical line takes the form of x = k, where k is the value x would always take and also it is the x-intercept.

Given that Lincoln Avenue passes through the point (5, 2), and its line is parallel to that of Washington Avenue, it means that the line do not intercept each other, and Lincoln Avenue is also a vertical line.

Therefore, if Lincoln Avenue passes through (5, 2), its line can be represented also in the form, x = k. Where, k is the value that x would always take, and also, it is the x-intercept. x would always be 5 even when y changes.

Therefore, the equation of the line that represents Lincoln Avenue would be:

✅ $x = 5$

✅This is also a Vertical line.

8 0

3 years ago