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HACTEHA [7]
3 years ago
12

Alvin is taking a bus on a ski trip. The bus travel to 174 miles The bus travel to 174 miles In the first three hours of the tri

p. If the ski resort is 696 miles from his home which proportion could Alvin use to predict how many hours the bus trips up to the ski resort
Mathematics
1 answer:
IRINA_888 [86]3 years ago
7 0

Answer: 12 hours

Step-by-step explanation:

We can use direct proportion to solve this, we need to calculate the constant of proportionality first. This will be:

y = kx

where y = 174

x = 3

k = 174/3

k = 58 miles per hour

If the ski resort is 696 miles from his home, the number of hours used will be:

= 696/58

= 12 hours

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900% of it is 450 ?<br><br> please help with this
charle [14.2K]
900% of 450=4050

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 450 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 450 is 100%, so we can write it down as 450=100%.
4. We know, that x is 900% of the output value, so we can write it down as x=900%.
5. Now we have two simple equations:
1) 450=100%
2) x=900%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
450/x=100%/900%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 900% of 450

450/x=100/900
(450/x)*x=(100/900)*x - we multiply both sides of the equation by x
450=0.111111111111*x - we divide both sides of the equation by (0.111111111111) to get x
450/0.111111111111=x
4050=x


now
4 0
3 years ago
Archie earns $4 a week for doing choirs. How much will Archie warm in 2 months if there are four weeks in each month?
siniylev [52]

Hello! The answer for your question would be $32. This is because if Archie earns $4 a week and there are 4 weeks in each month, and he works for 2 months, then 4*4 for one week would equal $16. This times 2 would equal $32 therefore, Archie earned $32 dollars for 2 months of doing chores.

4 0
3 years ago
Amie works 6 hours each Saturday and 4 hours each Monday. She also makes $20 a week as a dog walker. She makes a total of $130 e
vivado [14]

Answer:

11 per hour

Step-by-step explanation:

130 - 20=110/(6+4)=11

3 0
3 years ago
Read 2 more answers
ET<br> 1<br> 1<br> 1<br> 2<br> 1<br> 4<br> 6(5 + 4) = 30 +
dimaraw [331]

Answer:

what is the et and 111214 for

Step-by-step explanation:

but 6(5 +4) = 30 + 15

the missing number is 15 though

5 0
3 years ago
Help with mathematics hw
Hunter-Best [27]

<span>a.       </span>Let m = be the number of miles driven

Cost of NYC rentals: 525 + 0.21m

Cost of Metro Trucks: 585 + 0.13m

 

<span>b.      </span>525 + 0.21m = 850

0.21m = 325

M = 1,548 miles

<span>c.       </span>Initial cost for NYC rentals = $525

Initial cost for Metro Trucks = $585

<span>d.      </span>NYC rentals: 525 + 0.21 (500) = $630

Metro Trucks rentals: 585 + 0.13 (500) = $650

<span>e.      </span>525 + 0.21m = 585 + 0.13m

0.21m – 0.13m = 585 – 525

0.08m = 60

m = 750 miles

4 0
3 years ago
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