Machine can make 114 copies in 4 minutes and 45 seconds. So first convert 45 seconds into minutes. We will use ratio and proportion for that using 1 minute = 60 seconds. So let say X minutes = 45 seconds.
solve for X as shown
= X
0.75 = X
So 45 seconds =0.75 minutes
So it takes 4 minutes +0.75 minutes = 4.75 minutes for machine to make 114 copies. We have to find copies made in 1 minute. So lets say it makes C copies in 1 minute. Again we will use ratio and proportion
=
Now solve for C as shown
=
24 = C
So machine can make 24 copies in 1 minute. So thats the final answer.
Answer:
he would pay 503.75 every month
Step-by-step explanation:
1 Substitute
y
=
2
x
−
10
y=2x−10 into
y
=
4
x
−
8
y=4x−8.
2
x
−
10
=
4
x
−
8
2x−10=4x−8
2 Solve for
x
x in
2
x
−
10
=
4
x
−
8
2x−10=4x−8.
x
=
−
1
x=−1
3 Substitute
x
=
−
1
x=−1 into
y
=
2
x
−
10
y=2x−10.
y
=
−
12
y=−12
4 Therefore,
x
=
−
1
y
=
−
12
x=−1
y=−12
Answer:
2.25 kg
Step-by-step explanation:
6 x 375 = 2250
1 kg = 1000 g
⇒ 2250 ÷ 1000 = 2.25 kg
Answer: There are 5 nickels and 10 quarters.
Step-by-step explanation:
Let x = Nickels , y= Quarters.
Then x+y = 15
⇒ y=15-x (i)
1 nickel = 5 cents , 1 quarter = 25 cents
$2.75 = 275 cents [ 1 dollar = 100 cents ]
Then, 5x+25y= 275 (ii)
Substitute value of y from (i)
5x+25 (15-x)=275
⇒ 5x + 375 - 25x =275
⇒ -20x= 275-375
⇒ -20x= -100
⇒ x = 5 [divide both sides by -20]
Put this in (i) , we get y= 15-5=10
Hence, there are 5 nickels and 10 quarters.