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Llana [10]
2 years ago
8

Solve for the value of x: x/2 + x/3 = 2x/5 + 3 , also I need a very thorough explanation for this.

Mathematics
1 answer:
Alona [7]2 years ago
8 0

Answer:

x=\frac{90}{13} .

Step-by-step explanation:

\frac{x}{2} +\frac{x}{3} =\frac{2x}{5} +3;

30*(\frac{x}{2} +\frac{x}{3} )=30*(\frac{2x}{5} +3);

15x+10x=12x+90; ⇔ 13x=90;

x=\frac{90}{13}.

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Josh works as a tutor for $9 an hour and as a waiter for $8 dollars an hour. This month, he worked a combined total of 101 hours
katovenus [111]
<h3>Answer:   9t+8(101-t)</h3>

Work Shown:

t = number of hours tutoring

101-t = number of hours working as a waiter

The expressions t and 101-t add to 101.

9t = amount earned as a tutor, at $9 an hour

8(101-t) = amount earned as a waiter, at $8 an hour

9t+8(101-t) = total amount earned from both jobs

This does not account for taxes or other fees. Optionally, you can distribute the 8 through the (101-t) terms, then combine like terms to simplify.

6 0
3 years ago
What is a slope of a line represented by the equation 2x + 3y equals -12
Verizon [17]

Answer:

M = -2/3

Step-by-step explanation:

2x + 3y = -12 (subtract 2x from both sides)

3y= -2x -12 (divide everything by 3)

Y = -2/3x - 4


M= -2/3

7 0
3 years ago
What are the first two steps in solving the radical equation below?
Maru [420]

Answer:

B

Step-by-step explanation:

add 7 to get away the 7 on the left hand side

square both side to eliminate square root

6 0
3 years ago
A basketball court is in the shape of a rectangle. It has a length of (x − 7) meters and a width of (x + 3) meters. The expressi
Step2247 [10]
X^2 -3x+7x-21

so simplified is:

x^2 - 4x - 21


5 0
3 years ago
The area of a playground is 2,400 square yards, and the width is 40 yards. What is the length of the playground? PLEASE HELP
Dmitrij [34]
The answer you are looking for is 60 yards!
You can use the formula x*y=z
Making 40*y=2400
Do 2400/40= 60
40*60=2400
Making 60 your length of the playground!
I hope this helps!
5 0
3 years ago
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