All categories

3 years ago

3/2 ( x - 2 ) - 5 = 19

Mathematics

1 answer:

Gnom [1K]3 years ago

4 0

Answer:

x = 18

Step-by-step explanation:

Distribute 3/2 inside the parentheses

3/2x - 3 - 5 = 19

Combine like terms

3/2x - 8 = 19

Isolate x by adding 8 to both sides

3/2x = 27

Multiply by the reciprocal

x = 18

You might be interested in

For the problem 4 x 2/3, Dawn says the answer is 6. Marry Anne says the answer is 3 1/3. Stacy says it is 2 2/3. Who is correct?

Anettt [7]

Answer:

Stacy is correct

Step-by-step explanation:

<u>Solving the problem</u>

4×2/3 =
8/3 =
2 2/3

Stacy is correct

8 0

3 years ago

Read 2 more answers

gavin is making cranberry lemonade. he wants to make a total of 6 cups. he needs to use 3 times as much lemonade as cranberry ju

Inessa [10]

Answer:

3l= c

Step-by-step explanation:

as use 3 cup of cranberry juice, lemonade will be used 1 cup.

4 0

3 years ago

Solve 2x + 5y = −13 3x − 4y = −8

zlopas [31]

If you would like to solve 2x + 5y = -13 and 3x - 4y = -8, you can do this using the following steps:

2x + 5y = -13 /*4
3x - 4y = -8 /*5
_______________
8x + 20y = -52
15x - 20y = -40
_______________
8x + 15x + 20y - 20y = -52 - 40
23x = -92
x = -92 / 23
x = -4

<span>3x - 4y = -8
</span>3 * (-4) - 4y = -8
-12 - 4y = -8
12 + 4y = 8
4y = 8 -12
4y = -4
y = -1

The correct result would be x = -4 and y = -1.

6 0

3 years ago

A group of artists is selling small prints to raise money for charity. They sell p prints, and make a profit of f(p) on the sale

MrRissso [65]

Answer:

Statement A is true.

Step-by-step explanation:

A. If the group sells 15 prints, they will lose $85.

B. If the group sells 12 prints, they will lose $204.

C. If the group sells 35 prints, they will make $935.

D. If the group sells 28 prints, they will lose $136.

f(p) = 17p - 340

p = prints

f(p) = profit

Let's check the statements to see which one is true.

A. 17.15 - 340 = - 85 OK!

B. 17.12 - 340 = -136 (false, they will lose $136)

C. 17.35 - 340 = 255 (false, they will make $255)

D. 17.28 - 340 = 136 (false, they will make $136)

3 0

3 years ago

The graph of the step function g(x) = –⌊x⌋ + 3 is shown. What is the domain of g(x)? {x| x is a real number} {x| x is an integer

allsm [11]

Answer:

Option A is correct.

The domain of the g(x) is {x | x is a real number}

Step-by-step explanation:

The graph of the step function: g(x)= $-\left \lfloor x \right \rfloor +3$

Floor function is defined as the function that gives the highest integer less than or equal to x.

The graph of function: g(x)= $-\left \lfloor x \right \rfloor +3$ where x is the independent variable as shown below;

Domain of any function is the complete set of possible values of the independent variable

Therefore, the domain of the function g(x) is the set of all real numbers or we can represent this as {x | x is a real number}.

3 0

3 years ago

Read 2 more answers