Answer:
1.25 Hours (1 hour & 15 minutes)
Step-by-step explanation:
14x = 5 + 10x
Subtract 10x from both sides
4x = 5
Divide by 4 on both sides
x = 1.25
It will take 1 hour and 15 minutes (1.25 hours) for Mrs. Penn and Mrs. Smith to be paid the same amount.
The answer to this question is b I got it wrong With picking a and my teacher said it was b
Answer:
Step-by-step explanation:
3x+4y=29 .......(1)
6x+5y=43 .......(2)
Multiply equation (1) by 2
6x + 8y = 58......(3)
Substracting (2) from (3)
8y - 5y = 58 - 43
3y = 15
Dividing by 3
3y/3 = 15/3
y = 5
Substituting y = 5 into (2)
6x+5y=43
6x + 5(5) = 43
6x + 25 = 43
6x = 43 - 25
6x = 18
Dividing by 6
6x/6 = 18/6
x = 3
Answer:
a) 2,650%
b) 27,400%
c) 164,900%
Step-by-step explanation:
We want to measure the percentage we would have to increase the typical value to obtain the values given in a), b) and c).
But 0.2 increased in x% equals
0.2 + 0.2(x/100) =0.2(1+x/100)
So, if we want to increase 0.2 in x%, we must multiply it by (1+x/100)
a)
We need to find the value of x such that
0.2(1+x/100) = 5.5 ⇒ (1+x/100)=5.5/0.2 ⇒ 1+x/100=27.5
⇒ x/100=26.5 ⇒ x=2,650%
b)
0.2(1+x/100) = 55 ⇒ (1+x/100)=55/0.2 ⇒ 1+x/100=275
⇒ x/100=274 ⇒ x=27,400%
c)
5.5 min = 5.5*60 s = 330
0.2(1+x/100) = 330 ⇒ (1+x/100)=330/0.2 ⇒ 1+x/100=1,650
⇒ x/100=1,649 ⇒ x=164,900%
Multiply 47x22 and you'll get a total of 1034 prizes
