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svetlana [45]
3 years ago
10

Mikhael and hema want to hire a professional dj to play music during the event. Dj kay-cee charges $100 plus $50 per hour . Dj f

ab fred charges $150 plus $30 per hour write an equation to find the number of hours at which dj kay-cee and dj fab fred would charge the same amount
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
6 0

Dj kay-cee: 50x+100

Dj fav fred: 30x+150

So, setting up the equation, you get that 50x+100=30x+150

So, 20x=50, and x=\frac{5}{2}

So after 2.5 hours, dj kay-kee and dj fab fred would charge the same amount.

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Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller numbe
kicyunya [14]

Answer: Smaller number = 6

Larger number = 20

Step-by-step explanation:

Let the smaller number be x.

Let the larger number be y.

Three times a larger number is 30 more than 5 times a smaller number. This will be:

3 × y = (5 × x) + 30

3y = 5x + 30 ...... i

The sum of the larger number and 5 times the smaller number is 50. This will be:

y + 5x = 50 ...... ii

From equation ii

y + 5x = 50.

y = 50 - 5x ...... iii

Put the value of y = 50 - 5x into equation i

3y = 5x + 30

3(50 - 5x) = 5x + 30

150 - 15x = 5x + 30

150 - 30 = 5x + 15x

120 = 20x

x = 120/20

x = 6

The smaller number is 6

Note that y + 5x = 50

y + 5(6) = 50

y + 30 = 50

y = 50 - 30

y = 20

The bigger number is 20

7 0
3 years ago
Sarah needs to complete 10,008 hours of guitar practice. How many hours of practice a day should she do to reach her goal in 3 y
avanturin [10]
10008 hours per 3 years is average of 3336 hours per year, or about 9.1 per day.
4 0
3 years ago
1/2h(a+b)=1 solve for h
Cloud [144]
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6 0
3 years ago
Can someone please help me with the question?
lys-0071 [83]

Answer:

y would be 90 degrees

Step-by-step explanation:

The triangle has a right angle which is where y is located. A right angle is usually 90 degrees.

6 0
3 years ago
Consider the equation: x^2+10x+22=13<br> Need help asap!!!! <br> this is due in a hour!
klio [65]

Answer:

(x + 5)^2 = (5 - 3)^2

Step-by-step explanation:

Given the equation;

x^2 + 10x + 22 = 13

We have;

x^2 + 10x = 13 - 22

x^2 + 10x = -9

Adding half of 10 to both sides and completing the square as usual, we have;

(x + 5)^2 = 5^2 + (-9)

(x + 5)^2 = (5 - 3)^2

7 0
3 years ago
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