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3 years ago

What is the answer to ((1+3+6+9)-10)

Mathematics

1 answer:

Daniel [21]3 years ago

6 0

Hey there! :)

((1 + 3 + 6 + 9)) - 10)

Start in the first set of parenthesis.

(19) - 10)

Simplify!

Our answer is 9 - hope I helped! :)

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Mr. Hughes gave 5/14

kow [346]

Answer:

His savings were of $4,200.

Step-by-step explanation:

Mr. Hughes gave 5/14 of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife:

This means that the son and daughter amount is:

$\frac{5}{14} + \frac{2}{3}(\frac{9}{14})$

As $\frac{9}{14}$ is the remained that his son did not get. So

$\frac{5}{14} + \frac{2}{3}(\frac{9}{14}) = \frac{15}{42} + \frac{18}{42} = \frac{33}{42}$

Fraction his wife got:

$1 - \frac{33}{42} = \frac{42}{42} - \frac{33}{42} = \frac{9}{42}$

If his wife got $900, what were his savings?

Total savings are x, wife got $\frac{9}{42}$ of x. So

$\frac{9x}{42} = 900$

$9x = 900*42$

$x = \frac{900*42}{9}$

$x = 100*42$

$x = 4200$

His savings were of $4,200.

5 0

3 years ago

1.Solve the equation. Check for extraneous solutions.

elena55 [62]

Okay so I did the math.

1. Two solutions were found :
z=-1
z=2/3
Step 1 :Rearrange this Absolute Value Equation

Absolute value equalitiy entered
|2z-3| = 4z-1

Step 2 :Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |2z-3|

For the Negative case we'll use -(2z-3)

For the Positive case we'll use (2z-3)

Step 3 :Solve the Negative Case

      -(2z-3) = 4z-1

     Multiply
      -2z+3 = 4z-1

     Rearrange and Add up
      -6z = -4

     Divide both sides by 6
      -z = -(2/3)

     Multiply both sides by (-1)
      z = (2/3)
     Which is the solution for the Negative Case

Step 4 :Solve the Positive Case

      (2z-3) = 4z-1

     Rearrange and Add up
      -2z = 2

     Divide both sides by 2
      -z = 1

     Multiply both sides by (-1)
      z = -1
     Which is the solution for the Positive Case
Step  5  :Wrap up the solution

z=2/3
 z=-1

2. -6 < x < 26/3

Step 1 :Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered
|3x-4|+5 < 27

Another term is moved / added to the right hand side.

|3x-4| < 22

Step 2 :Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |3x-4|

For the Negative case we'll use -(3x-4)

For the Positive case we'll use (3x-4)

Step 3 :Solve the Negative Case

-(3x-4) < 22

 Multiply
 -3x+4 < 22

 Rearrange and Add up
 -3x < 18

 Divide both sides by 3
 -x < 6

 Multiply both sides by (-1)
 Remember to flip the inequality sign
 x > -6
 Which is the solution for the Negative Case

Step 4 :Solve the Positive Case

(3x-4) < 22

 Rearrange and Add up
 3x < 26

 Divide both sides by 3
 x < (26/3)

 Which is the solution for the Positive Case

Step 5 :Wrap up the solution

-6 < x < 26/3

Solution in Interval Notation

(-6,26/3)

HOPE THIS HELPS :D

7 0

3 years ago

What is the range of h?

Bas_tet [7]

Answer:

-3 ≤y≤6

Step-by-step explanation:

The range is the output values or the y values

The y values go from -3 to 6 including these values

-3 ≤y≤6

3 0

3 years ago

Help solving question 5 please.

Rasek [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

Write the repeating decimal as a fraction. -0.356 with 2 trailing repeating decimals plz help ill give branliest

Dafna11 [192]

Answer:

Fraction: 89/250

Percentage:35.6%

Step-by-step explanation:

5 0

4 years ago