If the perimeter of a rectangle is 800 and the length is 30 more than the width how much is the width?

What is the slope of the line through (2,-2)and(9,3)?

Arturiano [62]

Answer:

5/7

Step-by-step explanation:

y2-y1/x2 -x1

3 - (-2)/9-2

3+2/9-2

5/7

4 0

3 years ago

Read 2 more answers

In the Minnesota Northstar Cash Drawing, you pick five different numbers between 1 and 35. What is the probability of picking th

maw [93]

Answer:

$\frac{1}{324632}$ probability of picking the winning combination

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Since the order is not important, the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

The correct five numbers from a set of 5. So

$D = C_{5,5} = \frac{5!}{5!0!} = 1$

Total outcomes:

Five numbers from a set of 35. So

$T = C_{35,5} = \frac{35!}{5!30!} = 324632$

Probability:

$p = \frac{D}{T} = \frac{1}{324632}$

$\frac{1}{324632}$ probability of picking the winning combination

5 0

2 years ago

Find an explicit formula for the geometric sequence -40,-20,-10......

garik1379 [7]

Answer:

The explicit formula for the geometric sequence is $c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}$ .

Step-by-step explanation:

By definition of geometric sequence, we should use the following expression:

$c(n) = c_{1}\cdot r^{n-1}$ , $n \ge 1$ (1)

Where:

$c_{1}$ - First term.

$r$ - Geometric rate.

$n$ - Position of the element within the series.

If we know that $c_{1} = -40$ and $r = \frac{1}{2}$ , then the explicit formula for the geometric sequence is:

$c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}$

The explicit formula for the geometric sequence is $c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}$ .

3 0

3 years ago

You are paid 1.5 times your normal hourly rate for each hour you work over 30 hours in a week. You work 33 hours this week and e

erma4kov [3.2K]

The normal hourly rate is <u>$17.24</u>.

In the question, we are given that we are paid 1.5 times our normal hourly rate for each hour we work over 30 hours in a week.

We are asked to find the normal hourly rate if we work for 33 hours this week and earned $594.78.

We assume the normal hourly rate to be $x.

While working for 33 hours, we work 33 - 30 = 3 extra hours.

Thus, we are paid at the normal hourly rate of $x for 30 hours and at 1.5 times the normal hourly rate, which is $1.5x for the additional 3 hours.

Thus, the total earning can be shown as $x*30 + $1.5x*3 = $(30x + 4.5x) = $34.5x.

But, we are given that the total earnings for the week after working for 33 hours is $594.78.

Thus, we can equate the two to get an equation, 34.5x = 594.78, which on solving gives us x = 17.24.

Thus, the normal hourly rate is <u>$17.24</u>.

Learn more about the normal hourly rate at

brainly.com/question/18800313

#SPJ9

6 0

1 year ago

Four times a number decreased by 6 is less than -2

Whitepunk [10]

Answer:

-5.5

Step-by-step explanation:

well lets make an equation first. 4x-6<-2 . Now we have to find what x equals.

And now we know that x<1

5 0

3 years ago