What is 2 2/3 plus 8 3/4

olga2289 [7]

4a + 3 = 15
- 3
4a = 12
÷ 4
a = 3
I hope this helps!

5 0

3 years ago

For every 140 feet that Kelly rides on her bicycle, the wheels turn 20 times. About how many times do the wheels turn in 5 miles

Mars2501 [29]

Answer: The wheels turn about 3771 times in 5 miles.

Step-by-step explanation:

Given, Kelly rides on her bicycle such that the number of times wheels turn for every 140 feet = 20

Turns for every feet = $\dfrac{20}{140}=\dfrac{1}{7}$ ...(i)

To find : Number of times wheels turn in 5 miles.

Since , 1 mile = 5,280 feet

Then, 5 miles = 5 x (5,280 feet) = 26,400 feet

Now , Number of times the wheels turn in 26,400 feet = 26400 x (Turns for every feet)

$26400\times\dfrac{1}{7}=3771.42857143\approx3771$ [From (i)

Hence, the wheels turn about 3771 times in 5 miles.

5 0

3 years ago

Suppose the population of IQ scores in the town or city where you live is bell-shaped, with a mean of 104 and a standard deviati

SVEN [57.7K]

Answer:

The mean of samples of 100 IQ scores taken out from this population will have a distribution with mean M=104 and standard deviation s=3.5.

Step-by-step explanation:

We know the population mean and standard deviation, that has a bell-shaped distribution:

$\mu=104\\\\\sigma=35$

The sampling distribution, the distribution of the mean of samples of size n out of this population, will have the same mean as the population mean.

$\mu_M=\mu=104$

The standard deviation will be related to the population standard deviation and the sample size as:

$\sigma_M=\frac{\sigma}{\sqrt{N}} =\frac{35}{\sqrt{100}}=3.5$

Then, the mean of samples of 100 IQ scores taken out from this population will have a distribution with mean M=104 and standard deviation s=3.5.

6 0

3 years ago

The perimeter of a triangle is 48 inches and the sides are i the ratio of 3:4:5. Find the length of the longest side

Ivenika [448]

First you do 3 + 4 + 5 = 12, so there are 12 parts to this ratio.

48 / 12 = 4, this means that each part of the ratio is worth 4 inches.

The longest side is worth 5 parts of the ratio.

4 * 5 = 20 inches

4 0

3 years ago

If the term of arthematic progression decrease in magnitude then common difference must be

Tpy6a [65]

We can say that if the term of arithmetic progression decrease in magnitude then the common difference must be <u>negative</u>.

An arithmetic progression is a sequence where every term is a sum of the previous term and a common difference.

If we suppose the first term of an arithmetic progression to be a, and the common difference to be d, then the arithmetic progression goes like this:

The first term, a₁ = a,

Second term, a₂ = a₁ + d = a + d,

Third term, a₃ = a₂ + d = a + 2d,

Fourth term, a₄ = a₃ + d = a + 3d, and it goes so on up to,

The n-th term, aₙ = aₙ₋₁ + d = a + (n - 1)d.

In the question, we are asked if the term of arithmetic progression decrease in magnitude then what can we say about the common difference.

As the magnitude of the term decreases, we can show that as:

The n-th term < The first term,

or, aₙ < a₁,

or, a + (n - 1)d < a,

or, a + (n - 1)d - a < a - a {Subtracting a from both sides},

or, (n - 1)d < 0.

Since, n > 1, (n - 1) > 0, thus we get the common difference, d < 0, that is, the common difference is negative.

Thus, we can say that if the term of arithmetic progression decrease in magnitude then the common difference must be <u>negative</u>.

Learn more about arithmetic progressions at

brainly.com/question/6561461

#SPJ4

8 0

2 years ago