MATHEMATICS HIGH SCHOOL

How many different three-digit numbers can be written using digits from the set 5, 6, 7, 8, 9 without any repeating digits?

Answers

Answer 1
Answer:

Answer:

It can be written 60 different three digit numbers.

Step-by-step explanation:

For, calculate how many different three digit numbers can be written, we can use the rule of multiplication as:

    5              *         4         *             3                =      60

   1st digit         2nd digit          3rd digit

Taking into account that there is no repeating digits, we have 5 options for the first digits, this options are the number 5, 6, 7, 8 or 9. Then, we have 4 options for the second digit and then we have 3 options for the third digit.

So, there are 60 different three digit numbers that we can create with the set  5, 6, 7, 8, 9 without any repeating digits.
Answer 2
Answer: 567
598
578
596
597
Keep doing this and you will get your answer. It is could trial and error.

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Tom's Tent Rental charges a flat rate of $100 per day plus $10 for each hour the tent is used. If the number of hours is represented by "h," which algebraic expression represents the overall rate for the day using "h"?100 + 10h

10h

100 + h

90h

Answers

100 + 10h

The 100 represents the $100 and the 10h represents the $10 times the hours 

Final answer:

The algebraic expression that represents the overall rate for a day's tent rental from Tom's Tent Rental, considering both the flat rate and the hourly charges, is '100 + 10h'.

Explanation:

To solve the problem, we need to express the situation in algebraic form. In this case, Tom's Tent Rental charges a flat rate of $100 per day, so we have '100'. Additionally, it costs $10 for each hour the tent is used. If we denote the number of hours as 'h', then the charge for the hours used would be '10h'.

Therefore, the total cost or the algebraic expression representing the overall rate for the day, considering both the flat rate and the hourly charges would be '100 + 10h'.

Learn more about Algebraic Expression here:

brainly.com/question/34192827

#SPJ11

What is the slope of the line in the graph?

Answers

Step-by-step explanation:

slope = Change of y/ change of x

= 4/4

= 1

slope + or > 0 y increases when x increases

Which expression can be used to determine the reference angle for an angle, x, measuing 150 degrees

Answers

Answer:

see explanation

Step-by-step explanation:

150° is in the second quadrant.

To find the reference angle in the first quadrant subtract from 180°

reference angle = 180° - 150° = 30°

Answer:

-180-x

Step-by-step explanation:

15x - 12y =13
30x +9y =4
whats the value of x

Answers

\left \{ {{15x-12y=13\ \ | multiply\ by\ -2} \atop {30x+9y=4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }} \right. \n\n \left \{ {{-30x+24y=-26} \atop {30x+9y=4}} \right.\naddition\ method\n\n33y=-22\ \ \ \ | divide\ by\ 33\n\ny=-(22)/(33)\n\n15x=13+12y\n\nx=(13+12y)/(15)=(13+12*(-(22)/(33)))/(15)=(13-(264)/(33))/(15)=(13-8)/(15)=(1)/(3)\n\nSolution \ is\ x=(1)/(3).
so assuming that x and y are the same value in both equations we can make the first equation negative (multiply the whole thing by -1) and get

-15x+12y=-13
we multiply it by 2 and get
-30x+24y=-26
we add this to the second equation
(30x+9y=4)+(-30x+24y=-26)
30x-30x+24y+9y=-22
or 33y=-22
divide both sides by 11
3y=-2
divide both sides by 3
y=-2/3

we subtitute it into the first equation
15x-12(-2/3)=13
15x-(-24/3)=13
15x+8=13
subtract 8 from both sides
15x=5
divide both sides by 5
3x=1
divide both sides by 3
x=1/3

so x=1/3
y=-2/3

I do not know which formula to useCarla bought a dress at a sale for 20% off the original price. The sale price of the dress was $68.90. Find the original price of the drees, in dollars.


Step by step explanation please.

Answers

Answer:

I think it's the second formula.

Step-by-step explanation:

Let x be the original price.

The discount rate is 20%

Sale Price is $68.90

Discount = 20% of x = 0.2x

Using the formula, Sale Price = Original Price - Discount,

Original Price - Discount is x-0.2x = 0.8x

$68.90 = 0.8x

From here on, just do the equation :) Hope this helps!
Use the 3rd one because it has fewer steps and will give you the answer

Find a fraction in between 21/34 and 34/55

Answers

  • Answer:

2311/3740

  • Step-by-step explanation:

34 = 2×17

55 = 5×11

LCM = 2×5×11×17 = 1870

⁵⁵⁾21/34 = ²⁾1155/1870 = 2310/3740

³⁴⁾34/55 = ²⁾1156/1870 = 2312/3740

2310/3740 < 2311/3740 < 2312/3740

Answer:

A fraction between that is 2311/3740

Step-by-step explanation:

This is because the denominator is simplified into one number and the fraction is taken from there.
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