Solve using a system of equations. Lucia wants to go ice skating. She must pay for admission and then rent ice-skates. Rates for two rinks near her home are shown below.Ice Plex
$5 for Admission plus $2 per hour of skate rental

Skate World
$10 for admission plus $1 per hour for skate rental

Let x represent the cost of admission in dollars and let y represent the number of hours skates are rented for. Write a system of equations to represent the problem.

Please help! I cannot figure this out

Answers

Answer 1

Answer: Ice Plex -Y = 2x+5Skate World-Y = 10x+1

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Steven has a counter that is yellow on one side and blue on the other. The counter is shown below:A circular counter is shown. The top surface of the counter is shaded in a lighter shade of gray and Yellow is written across this section. The bottom section of the counter is shaded in darker shade of gray and Blue is written across it.Steven flips this counter 22 times. What is the probability that the 23rd flip will result in the counter landing on yellow side up?fraction 22 over 23fraction 1 over 2fraction 1 over 4fraction 1 over 22
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Help!! I need real help where someone can give me the answer but explain as well
Chitra spent $200 at a thrift shop. She bought 3 rings for $21 each and spent the rest on 4 equally price bracelets. How much did each bracelet cost?
Which is longer 635 millimeters or 535 centimeters ?

25 divided by 405 with working

Answers

$25:405=(25)/(405)=(5\cdot5)/(81\cdot5)=(5)/(81)$

OR:
      0.0 6 1 7 2 5 9 2 3 4 5 6 7 9 0 1 2
   2 5.0 0    :4 0 5
   - 2 4 3 0
   7 0 0
      -     4 0 5
   2 9 5 0
   - 2 8 3 5
      1 1 5 0
   -     9 1 0
   2 4 0 0
   -    2 0 2 5
      3 7 5 0
       -    3 6 4 5
   1 0 5 0
      -    9 1 0
      1 4 0 0
      -    1 2 1 5
   1 8 5 0
   -    1 6 2 0
      2 3 0 0
   - 2 0 2 5
   2 7 5 0
   -    2 4 3 0
3 2 0 0
   -    2 8 3 5
   3 6 5 0
-    3 6 4 5
5 0 0
   -    4 0 5
   9 5 0
   - 8 1 0
   1 4 0

We've got the same difference before. That means numbers will be repeated.
So:
25:405 = 0.0 6 1 7 2 5 9 2 (3 4 5 6 7 9 0 1 2)

you ride your bike X miles per hour up a mountain for 45 minutes on the way down the mountain you ride your bike for 4 miles per hour fasterit takes 20 minutes to ride your bike down the mountain how far did you ride your bike in total

Answers

you ride your bike X miles per hour up a mountain for 45 minutes on the way

We convert minutes into hour because speed is in miles per hour

To convert minutes into hour we divide by 60

45 minutes = $(45)/(60)=0.75 hours$

it takes 20 minutes to ride your bike down the mountain

20 minutes = $(20)/(60)=0.33 hours$

you ride your bike X miles per hour up a mountain

Distance = speed * time taken

distance covered while riding bike up a mountain is

D = x *0.75

on the way down the mountain you ride your bike for 4 miles per hour faster

So time taken is x + 4

distance covered while riding bike up a mountain is

D = (x+4) * 0.33

Distance covered by climbing up and down the mountain are same

so we make the distance equation equal

x *0.75= (x+4) * 0.33

0.75x = 0.33x + 1.32

Subtract 0.33 from both sides

0.42x = 1.32

Divide both sides by 0.42

x = 3.1429 miles per hour

Distance covered up D = 0.75* x = 0.75 * 3.1429 = 2.357175

Distance covered down D = (3.1429 +4) * 0.33 = 2.357157

Total distance covered = 2.357175 + 2.357175 = 4.71435

you ride your bike in total of 4.71 miles approximately .

Answer:

The total distance covered during riding up and down the mountain is 4.714 miles.

Step-by-step explanation:

Speed of the bike while riding up mountain = X mile/hour

Distance covered be d.

Time taken to cover d distance = 45 minutes = 0.75 hour

(1 hour = 60 min)

$Speed=(Distance)/(time)$

$X miles/hour=(d)/(0.75 hour)$

$X miles=(d)/(0.75)$ ...(1)

Speed of the bike while riding down mountain = (X+4) mile/hour

Distance covered while moving down the mountain = d.

Time taken to cover d distance = 20 minutes = 0.33 hour

$(X+4)miles/hour=(d)/(0.33 hour)$

$(X+4) miles=(d)/(0.33)$

$0.33X+1.32=d$ ...(2)

O solving (1) and (2):

we get, d = 2.357 miles

X = 3.143 miles/hour

Total distance covered by us = d + d= 2.357 miles+ 2.357 miles = 4.714 miles

Find the volume of the oblique cylinder. Round your answer to the nearest tenth.

Answers

Answer:

The Volume of an Oblique Cylinder:

An oblique cylinder, on the other side, is a cylinder whose base and top are not perpendicular to the sides. Interestingly, the volume of an oblique cylinder is the same as the volume of a right cylinder, and it is calculated as V=πr2h V = π r 2 h .

Step-by-step explanation:

What Fraction Is Equivalent to 3/9

Answers

The fraction $(3)/(9)$ can be written as $(1)/(3)$ in the simplest fraction form.

A fraction is a mathematical expression that represents a portion or a division of an entire. It's utilized to portray numbers that aren't whole numbers or integers. A fraction consists of two factors

1. Numerator: The numerator is the number on the top of the fraction. It represents the quantity or portion of the whole being reckoned.

2. Denominator: The denominator is the number at the bottom of the fraction. It represents the complete number of equal parts into which the whole is divided.

The given fraction is $(3)/(9)$ .

$(3)/(9)=((3)/(3) )/((9)/(3) )$