How can i factor 27+12

Answers

Answer 1

Answer: = 27 + 12
3 is common in both of them so
= 3 (9 + 4)
The answer is 3(9+4).

Answer 2

Answer: Firstly look for the highest number which goes into both of them:

1 goes into both of them
3 goes into both of them and is the highest so we use this one.

Next write a 3 outside a set of brackets:
$3(\ )$

Then, the point of these brackets is that you times everything inside them by 3 so in order to get the numbers inside, you divide both by 3.

$27 / 3 = 9$
$12 / 3 = 4$

So now put these back into the brackets and you're done:

$3(9+4)$

Try to factorise $18+12$ now to make sure you understand.

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Round 7526.442 nearest hundredth

Answers

.0 <- tenth
.00 <- hundredth

So:

7526.44

7526.442
2>5
7526.44

7526.44 is your answer

What is the area of the shaded part of the figure? A.
112.5 mm²

B.
225 mm²

C.
450 mm²

D.
675 mm²

Answers

Area of triangle= (h*b)/2 = (30*30)/2 = 450

Area of the square unshaded = (a*a) = (15*15) = 225

Area of shaded part = 450-225 = 225 $mm^(2)$

During one season, a total of 453,193 people attended a baseball team"s games what is the value of the digit 5 in the number of people

Answers

the value of the 5 is 50000

Combine the like terms to create an equivalent expression.
7n+4n

Answers

Answer:

11n

Step-by-step explanation:

(7+4) = 11

Answer:

11n

Step-by-step explanation:

Combine Like Terms

(7n) + (4n) are like terms

Add Them together

7+4=11

Therefore

when like terms are combined, the expression can be solved to 11n.

Which expression is equivalent to 64 − 9x2?(32)2 − (3x)2
(32)2 + (−3x)2
(8)2 − (3x)2
(8)2 + (−3x)2

Answers

Answer: Third option.

Step-by-step explanation:

By definition, the number 64 and the number 9 are perfect squares.

A perfect square it that number obtained by squaring a whole number.

In this case, 64 is obtained by squaring the number 8 and the number 9 is obtained by the squaring the number 3. Then:

$8^2=64\n3^2=9$

Therefore, you can rewrite the expression $64-9x^2$ as following:

$(8)^2-(3x)^2$

This matches with the third option.

ANSWER

$64 - 9 {x}^(2) = {8}^(2) -( {3x)}^(2)$

EXPLANATION
The given expression is

$64 - 9 {x}^(2)$

Rewrite to get:

${8}^(2) - {3}^(2) {x}^(2)$

Recall that

${a}^(n) {b}^(n) = {(ab)}^(n)$
We apply this property of exponents to the second term.

This gives us

$64 - 9 {x}^(2) = {8}^(2) -( {3x)}^(2)$

The third choice is correct.

Brass is an alloy made from copper and zinc in the ratio 3:2, based on weight. If 120g of copper are needed for a certain piece of brass, how much zinc will be needed for the same piece?

Answers

If 120g of copper are needed for a certain piece of brass, then the weight of the zinc that will be needed for the same piece is 80 grams.

What is a Ratio?

A ratio expresses the number of times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.

Given that Brass is an alloy made from copper and zinc in the ratio 3:2, based on weight. Therefore, the ratio of the metals can be written as,

Copper / Zinc = 3/2

Now, as the weight of the copper is 120grams. Therefore, the ratio can be written as,

Copper / zinc = 3/2

120 grams / zinc = 3/2

zinc = (120 grams × 2) / 3

zinc = 80 grams

Hence, If 120g of copper are needed for a certain piece of brass, then the weight of the zinc that will be needed for the same piece is 80 grams.

Learn more about Ratios here:

brainly.com/question/1504221

#SPJ2

The answer is 80.
You would first, divide 120 by 3.
Then, multiply 40 by 2.

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