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Damm [24]
3 years ago
5

If y is directly proportional to x and if y = 20 when x = 6, what is the value of y when x = 9 ?

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
4 0
E - 30. From 6 to 9 is increase of 1.5times
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Sing acts are 5 min long and comedy acts are 3 min long. The show has 12 acts and last 50 min. How many singing acts and how man
ryzh [129]

Answer

so there are 7 singing acts and 5 comedy acts.

Step-by-step explanation:

Let x= number of singing acts.

Let y= number of comedy acts.

We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.

We solve x+y=12

Y=-x+12

We know y=-x+12, so we will substitute that for the y in the second equation.

1. Substitute 5x+3(-x+12)=50

2. Distribute 5x-3x+36=50

3. Solve 2x+36=50

2x=14

X=7

Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.

5(7)+3y=50

35+3y=50

3y=15

Y=5

6 0
3 years ago
If ABF= (7x + 20), FBC=(2x - 5), and ABC= 159", find the value of x. x =
s2008m [1.1K]

Given :

∠ABF = ( 7x + 20 )°

∠FBC=(2x - 5)°

∠ABC= 159°

To Find :

The value of x .

Solution :

Assuming B the center of a circle .

So , all three given angles must be added to 360° .

(7x+20)+(2x-5)+159=360\\\\9x+15+159=360\\\\x=20.67

Therefore , the value of x is 20.67° .

Hence , this is the required solution .

3 0
3 years ago
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