Answer:
1.25 hours
Step-by-step explanation:
Benjamin rode tghe train for 45 minutes. Then it took him another 30 minutes to walk to his friend's house. How many hours did he spend riding and walking to his friend's house?
The number of hours he spent riding and walking to his friends house is calculated as:
45 minutes + 30 minutes
= 75 minutes
Converting this to hours
60 minutes = 1 hour
75 minutes = x
Cross Multiply
60 × x = 75 × 1
x = 75/60
x = 1.25 hours
Answer:
Bunny Hill Ski Resort:
y = 10x + 35
Diamond Ski Resort:
y = 5x + 40
Point where the cost is the same:
(1, 45)
Step-by-step explanation:
The question tells us that:
$35 and $40 are initial fees
$10 and $5 are hourly fees
This means that x and y will equal:
x = number of hours
y = total cost of ski rental after a number of hours
So we can form these 2 equations:
y = 10x + 35
y = 5x + 40
Now we are going to use System of Equations to find what point the cost of both ski slopes is the same.
Because they both equal y, we can set the equations equal to each other:
10x + 35 = 5x + 40
And we use basic algebra to solve for x:
10x + 35 = 5x + 40
(subtract 5x from both sides)
5x + 35 = 40
(subtract 35 from both sides)
5x = 5
(divide both sides by 5)
x = 1
Remember, x equals the number of hours.
That means when your rent out the skis for 1 hour, you will get the same price of $45 (you find the price by plugging in 1 into both of the equations)
Hope it helps (●'◡'●)
If Derek rows a boat one mile for 11 days, we can solve this using the equation:
11*1=11
So in 11 days, Derek rows 11 miles.
I hope this helps!
|4x + 4| = 15
First, let's get rid of the absolute value signs to get the first solution.
4x + 4 = 15
Subtract 4 from both sides
4x = 11
Divide each side by 4
x = 11/4 or 2.75
Now, let's get the solution by changing 15 to -15.
4x + 4 = -15
Subtract 4 from both sides
4x = -19
Divide both sides by 4
x = -19/4 or -4.75
<u>Given</u><u> </u><u>that</u><u> </u>
- Height of container is 20 inches .
- Radius of base is 10 inches .
<u>To</u><u> </u><u>Find</u><u> </u>
<u>Formul</u><u>a</u><u> </u>
- Volume of cylinder is πr²h
<u>Solu</u><u>tion</u><u> </u>
→ Volume = πr²h
<u>Usin</u><u>g</u><u> </u><u>π</u><u> </u><u>as</u><u> </u><u>3</u><u>.</u><u>1</u><u>4</u><u> </u>
→ 3.14 × 10 × 10 × 20 = Volume
→ 314 × 20 = Volume
→ <u>6</u><u>2</u><u>8</u><u>0</u><u> </u><u>inches²</u><u> </u><u>is</u><u> </u><u>the holding capacity of the</u><u> container</u><u>. </u><u> </u>