Jim began a 222​-mile bicycle trip to build up stamina for a triathlete competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 8 hours. If Jim walks at a rate of 5 miles per hour and rides at 33 miles per​ hour, find the amount of time he spent on the bicycle.

Answer:

[tex]\£3840.2[/tex]

Step-by-step explanation:

Let P denotes principal amount, T denotes time period and R denotes rate of interest.

Amount = [tex]P(1+\frac{R}{100})^T[/tex]

Amir pits £3035 into a bank account. The account pays 4% compound interest each year.

Put [tex]P=\£3035,\,R=4\%,\,T=6[/tex]

Amount = [tex]3035(1+\frac{4}{100})^6=3035(\frac{104}{100})^6=\£3840.2[/tex]

Therefore, Amir will have [tex]\£3840.2[/tex] in the account after 6 years.

Step-by-step explanation:

probability of flipping head

1/2

probability of rolling 2

1/6

Answer:

85+89+87+92+98

451/5

90.2

The mean of Corey’s test scores is 90.2

The simplest method to determine the average for the given collection of integers is to use the arithmetic mean or mean. It is divided into two categories: weighted arithmetic mean and plain arithmetic mean.

The ratio of the total number of observations divided by the sum of all the given observations is known as the arithmetic mean.

We have,

Corey scored 85, 89, 87, 92, and 98 on his math tests.

So, arithmetic Mean

= (Sum of scores)/ Total number of score

= (85 + 89 + 87 + 92+ 98)/5

= 90.2

Thus, the Mean is 90.2

Learn more about Arithmetic Mean here:

https://brainly.com/question/30891252

#SPJ3

Answer: 84.8°

Step-by-step explanation:

a²+b²+c²-2bc(cosA)

cosA = b² + c² - a² / 2bc

That is the formula we will be using.

Then, plug in our numbers.

cosP= 500² + 380² - 600² / 2(500)(380)

cosP= 34400/380000

cosP≈ 0.09052631

cos⁻¹(0.09052631) ≈ 84.81

∠P = 84.8°

Answer:

$19.2

Hope this helps!! :)

Answer:

$19.20

Step-by-step explanation:

First find how much 20% of 24 is.

What is 20% of 24?

Y is 20% of 24

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 20% * 24

Converting percent to decimal:

p = 20%/100 = 0.2

Y = 0.2 * 24

Y = 4.8

Then subtract that from $24

Which gives you $19.2

Hope I helped.

Answer:

1 single foot

you just subtract lol

Answer:

64 - .75

64 - .75 = 63.25

have a good day/night

Answer: 63.25 (Decimal) or 63 1/4 (fraction)

Step-by-step explanation: 64 - 3/4. 3/4 is 0.75 in decimal form, so subtracting it would be 63.25 which would be 63 1/4 in fraction form. I don’t think you can simplify it since 1/4 is already at it’s smallest form.

Answer:

x = 7; y = 77

Step-by-step explanation:

y = 9x + 14

y = 4x + 49

Since both equations are solved for y, set the two right sides equal and solve for x.

9x + 14 = 4x + 49

5x = 35

x = 7

Sow substitute 7 for x in the first equation and solve for y.

y = 9x + 14

y = 9(7) + 14

y = 63 + 14

y = 77

Answer: x = 7; y = 77

Answer:

x=7 y=77

Step-by-step explanation:

Subtract 4x from 9x you get 5x

subtract 14 from 49 you get 35

5x=35

9*7=63+14=77

4*7=28+49=77

Answer:

Polynomial with 4 terms

Answer:

m = 4

Step-by-step explanation:

Points on the graph: ( -3, -3) and ( -2, 1)

Slope:

m=(y2-y1)/(x2-x1)

m=(1+3)/(-2+3)

m=4/1

m = 4

Answer:

12.3 - 7.9x

hope it helps XD X) :)

Answer:

6x + 2y

Step-by-step explanation:

6x + 4y - 2y =

6x + 2y

Hope that helps!

Answer:

Fraction = 1/10

Decimal = 0.1

Step-by-step explanation:

If this is 6th grade, why did you put it under high school?(Just curious)

Answer:

4 ounces

Step-by-step explanation:

the measurement of water and the bottle are in different units. This, they have to be converted to the same units

1 cup = 8 ounces

if the bottle holds one cup, it would hold 8 ounces

ounces of water left over = 12 - 8 = 4 ounces

Answer:

y=11x-18

Step-by-step explanation:

y=11x+b (b is the unknown y-int)

to find the y-int, substitute in (2, 4), and solve for b *substitute in 2 for x and 4 for y*

y=11x+b

4=11(2)+b

4=22+b

b=-18

the equation of the line:

y=11x-18

Answer:C

Step-by-step explanation:

Answer:

there are no solutions

Step-by-step explanation:

Step-by-step explanation:

3x+12=2x+2x

3x+12=4x

3x-4x=-12

-x=-12

x=12

Answer:

no, the answer is x = 12

Step-by-step explanation:

3(x + 4)= 2x - (-2x)

3(x + 4)= 2x + 2x

3x + 12 - 12 = 4x - 12

3x - 4x = 4x - 12 - 4x

-x = -12

x = 12

Answer:

100 inches

Step-by-step explanation:

Given that the mans height is 71 inches. Height of lamp is 108 inches and distance between them is 52 inches. For Figure refer to attachment . The given figure both triangles are similar by AA similarity Condition. So we know that the corresponding parts of similar triangles are proportional .Let Distance between man a d its shadow be x .

Using this concept ,

=> AM / PN = QA / QP

=> 108 / 71 = 52 + x / x

=> 1.52 x = 52 + x

=> 1.52 x - x = 52

=> 0.52 x = 52

=> x = 52/0.52

=> x = 100 in .

Answer:

31.6 sq.in i got by using 2pier formula

Step-by-step explanation:

area of a circle = πr²

where π = pi = 3.14

r = radius = 5in

area= 3.14 (5²)

= 3.14 x25

= 78.5 sq.in

Answer:

Simple: C. 70% = Rs. 84

Step-by-step explanation:

cause it can't be 120% if Rs.120 is the 100%

Answer:

(0, -3)

Step-by-step explanation:

because at that point is where the line crosses the y axis.

Answer:

area = 1539√3 in²

Step-by-step explanation:

three hexagons and one triangle:

each of the three hexagons are composed of 6 equilateral triangles just like the center triangle.

So you have 19 equilateral triangles with each side being 18 inches long.

The height (h) of a triangle will be:

h² = 18² - 9² = 324 - 81 = 243

h = √243

h = 9√3

area of one triangle = 1/2bh = (1/2)(18)(9√3) = 81√3

81√3(19 triangles) = 1539√3 in²

Answer:

100 minutes

Step-by-step explanation:

This is because it takes 5 minutes to fry 24 wantons, so we can write 5/24. Now we need to find out how long it takes to fry 40 dozen wantons, or 480 wantons. We can rewrite this as x/480. Since the time should be proportional, we get the following:

5/24 = x/480

We can now cross multiply. 24x=5x480. Therefore, 24x = 2400. If we divided each side by 24, we would get 100. Therefore, it takes 100 minutes to fry 40 dozen wantons, or about 1  2/3 hours.

Answer:

100 minutes (1 hour & 40 minutes).

Step-by-step explanation:

5 minutes = 2 dozen, which means it takes 2.5 minutes to cook 1 dozen.

2.5 minutes x 40 dozen = 100 minutes...

Answer:

As x→[infinity], f(x)→[infinity] As x→−[infinity], f(x)→−[infinity]

Step-by-step explanation:

Since f(x) =2x³/3,

Let x → + ∞

Substituting x = + ∞ into the equation, we have

f(+∞) = 2(+∞)³/3

= + 2∞³/3

= + ∞            (since + 2∞³/3 → +∞ (a larger number))

So as x → + ∞, f(x) → + ∞

Let x → - ∞

Substituting x = - ∞ into the equation, we have

f(-∞) = 2(-∞)³/3

= - 2∞³/3

= - ∞         (since - 2∞³/3 → -∞ (a larger number))

So as x → -∞, f(x) → -∞

So, the answer is As x→[infinity], f(x)→[infinity] As x→−[infinity], f(x)→−[infinity]