Justin ran 5.5 miles in 49.5 minutes. On average, how many minutes did it
take him to run one mile?

Answer:

80,000 + 6,000 + 500 + 3

Step-by-step explanation:

Expand so that all non-zero digits are by itself. Remember to retain it's place value:

86503 = 80,000 + 6,000 + 500 + 3

~

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

Learn more on a Ferris wheel here;

https://brainly.com/question/30524034

#SPJ1

Answer:

40

Step-by-step explanation:

16 ÷ 40% = 40

40% of 40 = 0.4 × 40 = 16

Answer: 40

Step-by-step explanation:

Hi there! :)

Answer:

Length = 10.5 m, width = 7 m.

Step-by-step explanation:

Given:

Perimeter, or P = 35 m

Ratio of l to w = 3 : 2

Since the ratio is 3 : 2, let l = 3x, and w = 2x.

We know that the formula for the perimeter of a rectangle is P = 2l + 2w. Therefore:

35 = 2(3x) + 2(2x)

35 = 6x + 4x

35 = 10x

x = 3.5

Plug this value of "x" into each expression to solve for the dimensions:

2(3.5) = w

w = 7 m

3(3.5) = l

l = 10.5 m

Therefore, the dimensions are:

Length = 10.5 m, width = 7 m.

Answer:

18\(cm^{2}\)

Step-by-step explanation:

Answer:

41° and 49°

Step-by-step explanation:

Complementary angles are angles that sum up to 90°.

Let x represent the smaller angle, then the bigger angle will be represented with x + 8:

x + x + 8 = 90°

2x + 8 = 90°

2x = 82°

x = 41° this is the measure of smaller angle, then the bigger angle wpis 49°

The answer is:

Work/explanation:

If two angles are complementary, their measures add to 90°.

So we can set up an equation to find the angles. Let the unknown angle be w, and its complement will be w + 8:

w + w + 8 = 90

Combine like Terms

2w + 8 = 90

2w = 82

w= 41

The other angle measures 8° more than the measure of w:

41 + 8 = 49

The unit rate in pounds per person is:

3/16 pounds per person

A unit rate is defined as the rate for one of something. For example, if 10 oranges cost $50, the unit rate will be $50/10 = $5 i.e.  $5 for one orange.

In this case, Felipe gave 4 people candy. He 3/4 split pounds among them.

We have:

Quantity of candy =  3/4 pounds

Number of people = 4

We will divide the quantity of candy by number of people to get the unit rate (quantity of candy per person). That is:

unit rate = (3/4) ÷ 4

unit rate = (3/4) × (1/4)

unit rate = 3/16 pounds per person

Learn more about unit rate on:

brainly.com/question/19493296

#SPJ1

Displacement means change of position. The displacement

Answer:

7 inches..............

Answer:

8

Step-by-step explanation:

Volume = Length * Width * Height

512 = 8*8*Height

Height = 512/64=8

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{2}}}\implies \cfrac{6+5}{1}\implies 11\)

Answer:

The answer is 44.625 .

Step-by-step explanation:

Basically, if we have a pretend number line in your head, subtract 10%. Now, you will have -10%. Add 15%, now: you will have 5%. So, do $42.50 x 5%.

How to calculate percentage of a number. Use the percentage formula: P% * X = Y

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

The answer is 44.625  payed in total to their favorite restaurant.

Answer:50

Step-by-step explanation:

a) The total interest that Angelica must pay on the loan during the period that payments are not being made is $2,998.58.

b) Angelica's monthly payment on the loan is $204.07.

The total interest when there were no repayments is determined using an online finance calculator.

The same calculator is used to determine the monthly payments after her graduation.

The total interest and the monthly payments are computed based on monthly compounding interest.

The amount of the non-subsidized student loan = $13,000

Annual compound interest rate = 5.2%

Loan period = 12 years

Non-repayment period = 4 years

N (# of periods) = 48 months (4 years x 12)

I/Y (Interest per year) = 5.2%

PV (Present Value) = $13,000

PMT (Periodic Payment) = $-0

Results:

FV = $-15,998.58

Total Interest = $2,998.58

N (# of periods) = 96 months (8 years x 12)

I/Y (Interest per year) = 5.2%

PV (Present Value) = $15,998.58

FV (Future Value) = $0

Results:

Monthly Payments (PMT) = $-204.07

Sum of all periodic payments = $-19,590.49

Total Interest = $3,591.91

Learn more about the monthly payments at https://brainly.com/question/27926261.

#SPJ1

Answer:

86.96%

Step-by-step explanation:

s2 = a2 / n  

a2 =  4.34782608696 if just 1/1 flavour 400/400 was the case.

We are asked to account for 5 flavours 4.34782608696/5

Z test was  0.86956521739 for red candies

s2 = a2/n

a2 = 0.86956521739/1

s2 = 0.86956521739/1  

s2 = 0.87 hundredth place

Percentage  0.86956521739 x 100 = 86.96% to 100th place

Answer:

d

Step-by-step explanation:

You are asking a question trying to suggest whether it can be done later

The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

For more such questions sequence,Click on

brainly.com/question/7882626

#SPJ8

Answer:

x = 22

Step-by-step explanation:

Since the the 2 bisectors are equal, that means the chords are also equal. Since bisector splits into 2 equal parts, 11 + 11 equals 22

Answer:

a) P = 0.039

b) The expected number of days is 10 days.

Step-by-step explanation:

The most appropiate distribution to use in this case is the geometric distribution, in order to calculate the probability of a success after k failure trials.

The probability of success, as each of the 10 products are assumed to have fair probabilities, is:

\(p=1/10=0.1\)

Then, the probability that our product is not selected any given day is:

\(q=1-p=1-0.1=0.9\)

a) The probability that exactly this product is selected exactly 10 days from now is the probability that is not selected (probbility q) for the next 9 days and selected (probability p) at the 10th day:

\(P=q^9p^1=0.9^9\cdot0.1=0.3874\cdot0.1=0.039\)

b) The expected number of days is calculated as:

\(E(X)=\dfrac{1}{p}=\dfrac{1}{0.1}=10\)

If 24,783 is invested, part at 15% and the rest 9%. If the interest earned from the amount invested at 15% exceeds the interest earned from the amount invested at 9% by $894.09: 51,960 is invested at 15%, and 22,823 is invested at 9%.

Let's x represent the amount invested at 15%

Let the  amount invested at 9% = 24,783 - x.

Interest earned at 15% is 0.15 * x

Interest earned at 9% is 0.09 * (24,783 - x)

We can set up the equation: 0.15x = 0.09 * 24,783 - 0.09x + 894.09

Solving for x:

0.06x = 24,783 * 0.09 + 894.09

0.06x = 2223.47 + 894.09

0.06x = 3117.56

x = 51,960

So,

(24,783 - x)

24,783 - 51,960

= 22,823

Therefore 51,960 is invested at 15%, and 22,823 is invested at 9%.

Learn more about amount invested here:https://brainly.com/question/25300925

#SPJ1

Answer:

x=11

Explanation:

If triangles QRS and TUV are similar, then the ratio of the corresponding sides are:

Substituting the given lengths:

We solve the equation above for x:

The value of x is 11.

Answer:

\(6p - 2q + 4r - 2p + 3s + 5q\)

group the like terms together:

\( = (6p - 2p) + ( - 2q + 5q) + 4r + 3s\)

simplify:

\( = { \boxed{ \boxed{4p + 3q + 4r + 3s}}}\)

Answer:

Step-by-step explanation:

Just plug in

7 - 2(2) = 3

Answer:

3

Step-by-step explanation:

By substituting m for 2, you would get:

7 - 2(2) =

7 - 4 = 3

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

Answer:

y= 2x - 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope is given as m = 2

The general equation is y = mx + b

So far what we have is   y = 2x + b

The y intercept is the value of y when x = 0

-4 = 2(0) + b

b = - 4

Therefore the equation is y = 2x - 4

Answer:

Interest = $63

Balance = $2,063

Step-by-step explanation:

Compound Interest Formula

\(\boxed{\sf I=P\left(1+\frac{r}{n}\right)^{nt} -P}\)

where:

Given:

Substitute the given values into the formula and solve for I:

\(\implies \sf I=9000\left(1+\dfrac{0.014}{2}\right)^{2 \times 0.5}-9000\)

\(\implies \sf I=9000\left(1+0.007\right)^{1}-9000\)

\(\implies \sf I=9000\left(1.007\right)-9000\)

\(\implies \sf I=9063-9000\)

\(\implies \sf I=63\)

Therefore, the account earns $63 interest in the first six months.

The balance after six months is $2,063.

Answer:

0.2

x 6

----

1.2

The answer is 1.2