Julie and Shawna ordered a pizza. Julie ate 3/8 of the pizza and Shawna ate 5/16 of the pizza. Who

To factor this quadratic equation into double brackets, you need to find two numbers that add together to equal 10, but also multiply to give you 9. These two numbers can be identified as 1 and 9, which will be the numbers you place in your parentheses as follows:
(x+1)(x+9)

8 0

3 years ago

Which algebraic expression represents the phrase below? five times the sum of a number and eleven, divided by three times the su

anyanavicka [17]

The overall algebraic expression will be: $\frac{5(x+11)}{3(x+8)}$

Definition of algebraic expression -

An expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.

Five times the sum of a number and eleven, divided by three times the sum of the number and eight.

Let the number be x.

Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:

5(x + 11)

Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:

3(x + 8)

So, the overall algebraic expression will be: $\frac{5(x+11)}{3(x+8)}$

Learn more about algebraic expression

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3 0

2 years ago

Suppose the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an in

zepelin [54]

Answer:

average yearly salary of an individual whose final degree is a masters: $ 66 thousand

average yearly salary of an individual whose final degree is a bachelors: $ 56 thousand

Explanation:

You can set a system of equation using the following steps:

1. Name the variables:

average yearly salary of an individual whose final degree is a masters: x

average yearly salary of an individual whose final degree is a bachelors: y

2. Set the equations that relate the variables:

the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:

equation (1): x = 2y - 46

combined, two people with each of these educational attainments earn $122 thousand:

equation (2): x + y = 122

3. Solve the system:

x = 2y - 46 . . . equation (1)

x + y = 122 . . . equation (2)

Substitute equation (1) into equation (2)

2y - 46 + y = 122

Solve for y:

3y = 122 + 46

3y = 168

y = 168 / 3

y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).

Subsitute the value on y in equation 1, to find the value of x:

x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.

Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.

4 0

4 years ago