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sergiy2304 [10]
2 years ago
9

The sum of two numbers is 51. If one fourth of one number exceeds one fifth of another number by 6, which of the following is th

e smaller number?
Mathematics
1 answer:
jeka57 [31]2 years ago
3 0
<span>Let x=smaller number 
Then x+5=larger number 
Now we are told the following: 
1/5(x+x+5)=x-5 multiply each side by 5 
x+x+5=5x-25 subtract 5x and also 5 from both sides 
x+x+5-5-5x=5x-5x-25-5 collect like terms
</span><span>-3x=-30 divide both sides by -3
x=10 smaller number 
x+5=10+5=15  larger number 
CK 
1/5(10+15)=10-5 
1/5(25)=10-5
5=5 </span>
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Andru [333]
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5 0
3 years ago
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An astronaut on the moon throws a baseball upward. the astronaut is 6​ ft, 6 in.​ tall, and the initial velocity of the ball is
marta [7]

Answer:

Step-by-step explanation:

The position function is

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10=-2.7t^2+50t+6.5 and

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t = .07 sec and t = 18.45 sec

There are 2 times that the ball passes 10 feet above the surface of the moon, once going up (.07 sec) and then again coming down (18.45 sec).

For part B, we are looking for the time that the ball lands on the surface of the moon. Set the height equal to 0 because the height of something ON the ground is 0:

0=-2.7t^2+50t+6.5 and factor that to get

t = -.129 sec and t = 18.65 sec

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4 0
2 years ago
1) Simplify the following:
aivan3 [116]

Step-by-step explanation:

ok so for number 1 you first have to group the like terms therefore you will now have:

9r-4r+8-6

and now you calculate:

9r-4r=5r

8-6=2

so that means 5r-2 is simplied version for no.1

for number you 2 you first multiply why is inside the brackets by what is in the outside:

2(x+3y)

2x+6y (simplified version)

hope this helps! no problem

8 0
3 years ago
Could you please help me out.
Kruka [31]

Answer:

B

Step-by-step explanation:

dababy

5 0
3 years ago
Which ordered pair best describes the point that represents the time capsule?
luda_lava [24]

Answer:

(4, 3)

Step-by-step explanation:

just is

[character limit thing]

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3 years ago
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