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natima [27]
3 years ago
11

Find the value of 423 using the identity (x + y)3 = x3 + 3x2y + 3xy2 + y3

Mathematics
1 answer:
finlep [7]3 years ago
8 0
Hint: 423 = (40 + 2)3; therefore, x = 40 and y = 2.
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What is the following product?
ivanzaharov [21]

Answer:

the trid one becasue

Step-by-step explanation:

To get the correct answer, you can count the total number of shaded tenths and the total number of shaded hundredths and then regroup.

There are 9 shaded tenths and 18 shaded hundredths. Regroup 10 hundredths into 1 tenth to get 10 tenths and 8 hundredths. Then regroup the 10 tenths in one whole, giving you 1 whole and 8 hundredths. The product is 1.08.

Another way to get the answer is to count the total number of shaded hundredths. There are 108 hundredths. Regroup 100 of them as one whole, giving you 1 whole and 8 hundredths.

6 0
3 years ago
Rewrite the expression by using symbols 7(x - 20)
Lelechka [254]

7 × x - 7 × 20

You could rewrite it this way, 7 x (x-20), but the answer above is better 'cause it takes away the grouping symbols

5 0
3 years ago
What is the unit rate for Bill's boffo bagel?​
Tema [17]

<u>Given</u>:

Given that the graph of Bill's Boffo Bagel.

We need to determine the unit rate for Bill's Boffo Bagel.

<u>Unit rate:</u>

The unit rate can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Let us substitute any two coordinates that the line passes through the points in the graph.

Substituting the coordinates (2,7) and (4,14) in the above formula, we get;

m=\frac{14-7}{4-2}

Simplifying, we get;

m=\frac{7}{2}

m=3.5

Therefore, the unit rate for Bill's Boffo Bagel is $3.5.

Hence, the unit rate is $3.50 for 1 bagel.

Thus, Option b is the correct answer.

7 0
3 years ago
The greatest common factor of 126 and 98 is:<br><br> a) 2<br> b) 7<br> c) 14<br> d) 28
Virty [35]

Answer:

c) 14

Step-by-step explanation:

Find the prime factorization of 98

98 = 2 × 7 × 7

Find the prime factorization of 126

126 = 2 × 3 × 3 × 7

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 7

GCF = 14

Have a good day and stay safe!

3 0
3 years ago
Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$41 thousand less than twice that of an
charle [14.2K]

Answer:

The average salary of master's degree people is $ 63,000    And

The average salary of bachelor's degree people is $ 52,000  

Step-by-step explanation:

Given in question as :

Let the average salary of master's degree people = $ M       And

Let the average salary of bachelor's degree people = $ B

According to question ,

The average salary of master's degree people + The average salary of bachelor's degree people  = $115,000

Or , $ M + $ B = $ 115,000                                 ............. A

Again ,

$ M = 2 × $ B - $ 41,000                             ............... B

From eq A and eq B

(2 × $ B - $ 41,000 )   +  ( $ B ) = $ 115,000

Or, 3×$ B = 156,000

∴        B = \frac{156,000}{3} = $ 52,000

And   M = $ 115,000 - $ 52,000

∴       M = $ 63,000

Hence The average salary of master's degree people is $ 63,000    And

           The average salary of bachelor's degree people is $ 52,000   Answer  

5 0
4 years ago
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