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Shalnov [3]
3 years ago
14

Kaiwan sold 40 tickets for Young Baby Durk NBA for the Howard Homecoming concert. He sold general admission tickets for twenty d

ollars each and VIP tickets for thirty dollars each. He collected eight hundred and eighty dollars. How many of each kind of ticket did Kaiwan sell?
Mathematics
1 answer:
neonofarm [45]3 years ago
5 0

Answer:

number of general admission tickets sold = 32

Number of VIP tickets sold = 8

Step-by-step explanation:

Total Number of tickets = 40

Cost of general admission tickets = $20

Cost of VIP tickets = $30

Total revenue = $880

Let

x = number of general admission tickets sold

y = number of VIP tickets sold

The equations are:

x + y = 40 (1)

20x + 30y = 880 (2)

From (1)

x = 40 - y

Substitute x = 40 - y into (2)

20x + 30y = 880

20(40 - y) + 30y = 880

800 - 20y + 30y = 880

10y = 880 - 800

10y = 80

y = 80 / 10

= 8

y = 8

Substitute y = 8 into (1)

x + y = 40

x + 8 = 40

x = 40 - 8

= 32

x = 32

number of general admission tickets sold = 32

Number of VIP tickets sold = 8

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tiny-mole [99]

Answer:

20 outcomes

Step-by-step explanation:

the outcomes of the first times the outcomes of the second

= 4×5

= 20

5 0
3 years ago
What is the equation of the following line written in slope intercept form? (-5,-1)
solmaris [256]

Answer:

\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the graph we have two points (-5, -1) and (-2, -3).

<em>Look at the picture</em>.

Calculate the slope:

m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}

Put it to the equation in slope-intercept form:

y=-\dfrac{2}{3}x+b

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate <em>b</em>:

-1=-\dfrac{2}{3}(-5)+b

-1=\dfrac{10}{3}+b         <em>subtract 10/3 from both sides</em>

-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}

Finally:

y=-\dfrac{2}{3}x-\dfrac{13}{3}

4 0
3 years ago
Savannah is 9 years older thanDevante. The sum of their ages is 53. How old are Savannah and Devante?
pickupchik [31]

Answer:

Devante is 23 and Savannah is 32.

Step-by-step explanation:

We can set up a system of equations.

s - savannah's age

d - devante's age

s = d + 9

s + d = 53

Now we can substitute (d + 9) for s in the second equation.

(d + 9) + d = 53

2d + 9 = 53

2d = 46

<u>d = 23</u>

To find Savannah's age, we just add 9 to Devante's age. (plugging in 23 for d)

23 + 9 = 32

<u>s = 32</u>

6 0
3 years ago
Wilma and Fred rode their bikes toward each other from points on a straight road 32 miles apart. If Fred rode 3 miles per hour f
Firdavs [7]

Answer:

wilma is 22.5 mph

fred is 25.5 mph

Step-by-step explanation:

Time:40 minutes, or 2/3 hours

Speed:

Fred:x+3

Wilma: x

Distance:32 miles

2/3(x+x+3)=32

2/3(2x+3)=32

1 1/3x+2=32

4/3x=30

x=22.5

wilma is 22.5 mph

fred is 22.5+3= 25.5 mph

6 0
3 years ago
Rewrite algebraic expression for 3(y+10)​
wel
I think that the answer is 3Y+30. I hope this helps!!! :)
3 0
3 years ago
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