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2 years ago

I am an odd number I am less than 100 the sum of my digits is 12 I am a multiple of 15 what number am I

Mathematics

1 answer:

ivolga24 [154]2 years ago

6 0

The answer is 75.

Let's look at your problem shall we:

Odd number: It should end with the numbers 1,3,5,7, and 9.

The number is less than 100: It should be from the number 1-99

Sum of digits: 12

Multiple of 15: 15, 30, 45, 60, 75, and 90.

We can rule out 30, 60, and 90 because they are even.

1+5 = 6; 4+5=9; 7+5 = 12

You are left with 75.

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A rectangular plot of land that contains 1500 square meters will be fenced and divided into two equal portions by an additional

WINSTONCH [101]

Let x = the length of the rectangle
Let w= the width

Two sections are required, hence 2w of fence required
2x+3w=500

this can be written as:
3w=1500-2x
w=(1500-2x)/3

Area=x*w
replacing w with our expression:
A=x(1500-2x)/3
A=(500x-2x^2)/3

This is a quadratic equation, if we find the axis of symmetry we will know what value of x gives maximum area:
Axis of symmetry: x=-b/2a
From our equation we get:
a=-2/3; b=1500/3
thus
x=(1500/3)/(-(-2/3))
x=750
thus the maximum area will be given by length of 750

3 0

2 years ago

Connor has seven more nickels than dimes and twice as many quarters as dimes. If he has $6.20, how many nickels does he have?

Novosadov [1.4K]

Connor has 16 nickels. If you have 9 dimes (90 cents) and you doubled it that would give you 18 quarters ($4.50). you have 7 more nickels than dimes, so you do 7+9 which equals 16 nickels (80 cents). 90+450+80=620.

8 0

2 years ago

Imagine working in a freelance developer earning 80 USD per hour how many weeks you will have to take a 12 hour flight on a week

Sever21 [200]

Answer:

pay the 11 AM ticket

Step-by-step explanation:

Note that the flight last for 12 hours, and assuming the freelance developer can still work (have access to the internet) on the airplane throughout the flight, he stand to earn $960 ($80*12), which will still cover the cost of the flight with a profit of $60 ($960-900).

However, if he decides to pay the $11 flight ticket and there is no Internet on boards; there by losing a day of work, he stand to have lost working time which would earn with $900.

Therefore, the best choice is to pay the 11 AM ticket.

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2 years ago

Solve the following quadratic equations by extracting square roots.Answer the questions that follow.

Vikentia [17]

Answer:

1. x=±4

2. t=±9

3. r=±10

4. x=±12

5. s=±5

Step-by-step explanation:

1. x^2 = 16

Taking square root on both sides

$\sqrt{x^2}=\sqrt{16}\\\sqrt{x^2}=\sqrt{(4)^2}\\$

x=±4

2. t^2=81

Taking square root on both sides

$\sqrt{t^2}=\sqrt{81}\\\sqrt{t^2}=\sqrt{(9)^2}$

t=±9

3. r^2-100=0

$r^{2}-100=0\\r^2 =100\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{r^2}=\sqrt{100}\\\sqrt{r^2}=\sqrt{(10)^2}$

r=±10

4. x²-144=0

x²=144

Taking square root on both sides

$\sqrt{x^2}=\sqrt{144}\\\sqrt{x^2}=\sqrt{(12)^2}$

x=±12

5. 2s²=50

$\frac{2s^2}{2} =\frac{50}{2}\\s^2=25\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{s^2}=\sqrt{25}\\\sqrt{s^2}=\sqrt{(5)^2}$

s=±5 ..

4 0

2 years ago

Read 2 more answers

Suppose that on a certain examination in advanced mathematics, students from univer sity A achieve scores that are normally dist

harkovskaia [24]

Answer:

$P(z>-1.768)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the scores for the univerisity A, and we know that:

$X \sim N (\mu = 625,\sigma =\sqrt{100}= 10)$