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DochEvi [55]
3 years ago
14

How do I do this step by step? 3(y-2) +5y = y+22

Mathematics
1 answer:
tatiyna3 years ago
7 0

Answer:

3(Y-2) +5Y =Y+22

3Y-6 +5Y=Y+22

3Y -6 +5Y-Y-22=0

3Y+5Y-Y-6-22=0

7Y-28=0

7Y=28

Y=28/7

Y=4

Step-by-step explanation:

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Part a at what speed v should an archerfish spit the water to shoot down an insect floating on the water surface located at a di
loris [4]
3.01 m/s  
This is a simple projectile calculation. What we want is a vertical velocity such that the time the droplet spends going up and going back down to the surface exactly matches the time the droplet takes to travel horizontally 0.800 meters. The time the droplet spends in the air will is:
 V*sqrt(3)/2 ; Vertical velocity.
 (V*sqrt(3)/2)/9.8 ; Time until droplet reaches maximum height
 (V*sqrt(3))/9.8 ; Double that time for droplet to fall back to the surface.
 
 The droplet's horizontal velocity will be:
 V/2.
 
 So the total distance the droplet travels will be:
 d = (V*sqrt(3))/9.8 * V/2
 d = V^2*sqrt(3)/19.6
 
 Let's substitute the desired distance and solve for V
 d = V^2*sqrt(3)/19.6
 0.8 = V^2*sqrt(3)/19.6
 15.68 = V^2*sqrt(3)
 15.68/sqrt(3) = V^2
 15.68/1.732050808 = V^2
 3.008795809 = V 
 So after rounding to 3 significant figures, the archerfish needs to spit the water at a velocity of 3.01 m/s 
 Let's verify that answer.
 Vertical velocity: 3.01 * sin(60) = 3.01 * 0.866025404 = 2.606736465
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8 0
3 years ago
What’s the next three after? <br> 18,36,72,144,..
IgorC [24]

Answer: 288, 576, 1152

Step-by-step explanation: What you do here is that you multiply every number by two. You start by doing 18 times 2, which equals 36. Then you do 36 times 2, which equals 72. You keep on doing this until you get the answers needed.

Hope this helped!! :)

6 0
3 years ago
Read 2 more answers
The ratio of two numbers is 4:5 if the larger number is 300 what is the smaller number​
yaroslaw [1]

Answer:

The smaller number is 240.

Step-by-step explanation:

The question says that the larger number is 300, so 5 has to be 300.

4:5

?:300

You can use cross-multiplication or find the scale factor to find the answer.

Cross-multiplication:

4 × 300 ÷ 5 = 240

Finding the scale factor:

300 ÷ 5 = 60

4 × 60 = 240

The smaller number is 240.

6 0
2 years ago
What is equivalent to 4.321 × 10−4 ?<br><br> What is equivalent to 4.321 × 10−4 ?
Arlecino [84]

Please write that as 4.321 × 10^(−4).  The " ^ " indicates exponentiation and the parentheses help make clear that your exponent here is a negative one.

Rewrite 4.321 × 10^(−4) by moving the decimal point 4 places to the left:

0.0004321

7 0
3 years ago
How to make 105% into a fraction?
riadik2000 [5.3K]
Percent measn parts out of 100
105%=105/100=21/20
3 0
3 years ago
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