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Umnica [9.8K]
3 years ago
14

How many different 2-digit numbers are there with the following property: the tenth digit is greater than the units digit?

Mathematics
1 answer:
EastWind [94]3 years ago
8 0

Answer:

There is 45 different 2-digit numbers.

Step-by-step explanation:

My way is kinda dumb, but it still works. So, 2 digit numbers is from 10-99. We can start from the 10-19 first.

10, 11,12,13,14,15,16,17,18,19

We need to find the numbers that the tenth digit is greater than the units digit.

<u>10</u>, 11,12,13,14,15,16,17,18,19

Since 1 is the tenth digit, all the ones digits are all going to be bigger. Same goes with 20-29. Then you will have 2 numbers that the tenth digit is greater. My way applies when the tenth digit is only less than the ones digit, not greater. If you do this way...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

10-19: 1 number

20-29: 2 numbers

30-39: 3 numbers

40-49: 4 numbers

50-59: 5 numbers

60-69: 6 numbers

70-79: 7 numbers

80-89: 8 numbers

90-99: 9 numbers

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So, if you add 1+2+3+4+....+9(which all of you probably memorized by now) it would be 45. The answer is 45. Hope this helped!

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A cubical box without a top is 4 cm on each edge.it contains 64 identical 1cm cubes that exactly fill the box. How many of these
Len [333]

Answer:

52

Step-by-step explanation:

A cubical box without a top is 4 cm on each edge containing 64 identical 1 cm cubes.

We have to find the number of small cubes that actually touch the box.

Now, there are 4 layers of 16 cubes from bottom to top.

In the bottom-most layer, all the 16 small cubes will touch the bottom of the large cube.

Again, from the top three layers, only the outer small cubes will touch the sides of the large cube.

So, there are 12 small cubes in each top three layers that will touch the large cube.

Hence, in total there will be (16 + 12 ×3) = 52 small cubes that actually touch the large cube box. (Answer)

8 0
3 years ago
A pack of 100 wolves on a remote island are suffering from a new disease. Let W(t) be the number of sick wolves at time t. Suppo
Olin [163]

Answer:

b)\,\frac{dW}{dt}=kt\sqrt{W}, \,W(0)=10

Step-by-step explanation:

Initial number of sick wolves = W(0) = 10

At time t, no. of sick wolves = W(t)

Given that disease is spreading at a rate proportional to the product of the time elapsed and the square root of the number of sick wolves:

\frac{dW}{dt}=kt\sqrt{W}

Mathematical model of above case is:

\frac{dW}{dt}=kt\sqrt{W}, \,W(0)=10

5 0
3 years ago
Find the value of x. Then find the measure of each labeled angle.<br> (9x - 10)<br> (5x + 38)
omeli [17]

Answer:

x=12 and

(9*12)-10=98

(5*12)+38=98

both angles are = 98

Step-by-step explanation:

do this :

9x - 10 = 5x + 38

( - 5x from both sides)

4x - 10 = 38

(add 10 to both sides)

4x = 38+10

4x=48

(divide by 4)

x=48/4

 = 12

substitute into the equations:

(9*12)-10

(5*12)+38

3 0
3 years ago
What is (9 x2/3) x2/3
lutik1710 [3]

Answer:

4

Step-by-step explanation:

First you have to follow pemdas, which says you have to follow this order:

Parentheses first, exponents second, multiply, divide, add, and then subtract. Always follow from left to right. First solve inside the parentheses.

9x2/3=6 and then multiply the product by 2/3 {6x2/3=4}

4 0
2 years ago
Which expression is equivalent to -5(-6h +8 - 12)?
Grace [21]
30h-40+60 or 30h+20 I think
5 0
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