Grade improvement and study motivation

If you had 1 billion dollars all in $100 dollar bills, how many times could they

RUDIKE [14]

Answer: 1.94 times.

Step-by-step explanation:

Lenght of $100 dollars = 6.14 inches

Lenght of North Carolina = 500 miles long.

Now, in 1 billon = 1,000,000,000

If we divide it by the value of each bill, we will found the number of bills, we have:

N = 1,000,000,000/100 = 10,000,000 bills.

Knowing that each bill is 6.14 inches long, the length of the N bills together is:

6.14in*10,000,000 = 61,400,000 in

Now we need to write this in miles; 63,360 inches is one mile.

Then 61,400,000 in = (61,400,000/63,360) = 969.1 miles.

Now we can find that:

969.1mi/500 mi = 1.94

This means that with 1 billion dollars all in $100 dollar bills we can stretch them 1.94 times along the length of North Carolina.

6 0

3 years ago

How to find the constant of proportionality on a graph

Akimi4 [234]

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate.

4 0

3 years ago

In many fast food restaurants, there is a strong correlation between a menu item's fat content (measured in grams) and its calor

Kruka [31]

Answer:

1. The slope of the least-squares regressin line is 11.364

2. The intercept of the least-squares regression line is 204.343

3. The residual corresponding to this observation is -10 calories

Step-by-step explanation:

1. In order to calculate the slope of the least-squares regressin line we would have to use the following formula:

slope of the least-squares regressin line=r*sy/sx

Therefore, slope=0.979*324.90/27.99

slope=11.364

2. In order to calculate the intercept of the least-squares regression line we would have to use the following formula:

intercept of the least-squares regression line=ybar - slope*xbar

intercept=662.88 - 11.364*40.35

intercept=204.343

3. In order to calculate the the residual corresponding to this observation we would have to use the following formula:

residual = observed y - predicted y

predicted y=11.364*x + 204.343

if the x value is 7, therefore predicted y=11.364*107 + 204.343

predicted y=1,420

Therefore, residual=1410 calories - 1420 calories

residual=-10 calories

8 0

3 years ago

The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many more girls than boys are there?

Mandarinka [93]

Answer:

There are 8 more girls

Step-by-step explanation:

If you divide 32 by 8 (since the ratio is 3:5 which is 8 parts (3+5)). You get 4.

Thus, there are 12 boys and 20 because 3*4 is 12 and 5*4 is 20. 12+20 is 32.

6 0

3 years ago

I need graph help plz

Likurg_2 [28]

Answer:

Step-by-step explanation:

Part A

x-intercepts of the graph → x = 0, 6

Maximum value of the graph → f(x) = 120

Part B

Increasing in the interval → 0 ≤ x ≤ 3

Decreasing in the interval → 3 < x ≤ 6

As the price of goods increase in the interval [0, 3], profit increases.

But in the price interval of (3, 6] profit of the company decreases.

Part C

Average rate of change of a function 'f' in the interval of x = a and x = b is given by,

Average rate of change = $\frac{f(b)-f(a)}{b-a}$

Therefore, average rate of change of the function in the interval x = 1 and x = 3 will be,

Average rate of change = $\frac{f(3)-f(1)}{3-1}$

= $\frac{120-60}{3-1}$

= 30

6 0

3 years ago