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WITCHER [35]
3 years ago
11

How many five-digit numbers are there that contain the digit 1 (at least) three times in a row?

Mathematics
1 answer:
My name is Ann [436]3 years ago
7 0

Answer:

So you say you want some 5 digit numbers eh? Let’s consider some boundaries. 5 digit numbers range from 10,000 - 99,999. So our number is guaranteed to be between 0 and 90000.

Sometimes it’s much easier to work with concrete things. Such as the number of numbers that don’t contain any 3s. It’s really more difficult to put our finger on “at least 1” anything so we try to steer clear of it.

Anyways we’ve got 90000 numbers that have at least 1 or 0 3’s. Find one and we know the other.

So no 3’s at all right? Well you have 8 choices for the first digit (can’t choose 0 and you can’t choose 3). And then for the remaining 4 digits you have 9 choices. So that’s

8∗94=52488  

Back to our initial equation, we have

90000−8∗94=37512  5 digits numbers without any 3s.

A quick (or maybe not so quick) matlab script confirms such calculations.

credits to : Trevor Squires

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What is the sope of (5,9) and (4,11)
Vikentia [17]

Answer:

The answer to your question is slope = -2

Step-by-step explanation:

Data

A = (5, 9)

B = (4, 11)

slope = m = ?

Slope means the steepness of a line.

Process

1.- Write the formula to calculate the slope

   m = (y2 - y1) / (x2 - x1)

   x1 = 5   y1 = 9   x2 = 4   y2 = 11

2.- Substitution

    m = (11 - 9) / (4 - 5)

3.- Simplification

    m = 2/-1

4.- Result

    m = -2

4 0
4 years ago
 Which of the following equations describes a relationship of inverse variation between input and output?
gregori [183]
<span>The <u>correct answer</u> is:

A) Output = Constant/Input.

Explanation<span>:

Inverse proportion is also called inverse variation. In inverse variation, as one variable increases, the other decreases, but their product stays the same. 

Algebraically their product would be represented by the equation
xy=k.

To isolate the output, y, we would divide both sides by x:
xy/x = k/x
y=k/x

In this equation, y is the output, x is the input, and k is called the constant of proportionality.

 Based on this, the correct choice is output = constant/input.</span></span>
6 0
4 years ago
Read 2 more answers
How do I round 35.26 to the nearest whole <br> number
Masja [62]
The rounded number to nearest whole number of 35.26 will be 35.

This is because we consider lower limit if the decimal is lower than 5, and consider the upper limit when the decimal is greater than 5.
7 0
4 years ago
Here's a graph of a linear function. Write the
tankabanditka [31]

Answer:

y=(2/3)x-1

we see the slope is 2/3 and that the intercept is -1. Thus our answer is

y=(2/3)x-1

6 0
3 years ago
A grocery store manager notices that this month her store sold a total of 623 gallons of ice cream, which represents a decrease
kotykmax [81]

Answer:

- The store sold 733 gallons of ice cream last month.

- The store sold 748 pounds of broccoli last month.

Step-by-step explanation:

Given

Ice\ Cream = 623

\%\ Ice\ Cream = 15\%

Broccoli = 912

\%\ Broccoli = 22\%

Solving (a): Gallons of Ice Cream

<em>Let Gallons sold last month be G1; Gallons sold this month be G2;</em>

The relationship between both is:

G2 =G1 - 15\% * G1

Substitute 623 for G2

623 =G1 - 15\% * G1

623 =G1 - 0.15 * G1

623 =G1 - 0.15 G1

623 =0.85 G1

Divide through by 0.85

G1 = 623/0.85

G1 = 732.941176471

G1 = 733

Solving (b): Pounds of Broccoli

<em>Let Pounds sold last month be P1; Pounds sold this month be P2;</em>

The relationship between both is:

P2 =P1 + 22\% * P1

Substitute 912 for P2

912 =P1 + 22\% * P1

912 =P1 + 0.22 * P1

912 =P1 + 0.22 P1

912 =1.22 P1

Divide through by 1.22

P1 = 912/1.22

P1 = 747.540983607

P1 = 748

6 0
3 years ago
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