Perform the indicated operations. Write answer in descending order.

¿cuales números naturales de dos cifras cumplen la condición de que su triple disminuido en 5, sea menor que su doble aumentado

stiks02 [169]

Answer: 10, 11 and 12.

Step-by-step explanation:

This translates to:

Find the natural numbers of two digits that fulfill the condition that when triple and decreased in 5, is less than the double increased in 8?

suppose that A is our number of two digits, this means that:

3*A - 5 < 2*A + 8

It makes sense to start with the smaller number of two digits, 10.

3*10 - 5 < 2*10 + 8

25 < 28

this is true.

Now let's check the next one, 11.

11*3 - 5 < 2*11 + 8

28 < 30

This is true again, now let's try with the next one, 12.

3*12 - 5 < 2*12 + 8

31 < 32

This is true again, now let's find the last one.

3*13 - 5 < 2*13 + 8

34 < 34

this is not true, so the numbers that fulfill the condition are 10, 11, and 12.

A faster way to prove it is, suppose that both sides of our inequality are equal, then find the value of A.

3*A - 5 = 2*A + 8

3*A - 2*A = 8 + 5 = 13

A = 13

This means that any number of two digits less than 13 fulfills the condition, those numbers are 10, 11, and 12.

8 0

3 years ago

What type of transformation transforms (a,b) to (-a,b) ?

aleksklad [387]

It's a reflection over the y axis because 'a' represents 'x' and if 'a' is negative it flips to the other side leave 'b/y' to remain the same

5 0

3 years ago

Read 2 more answers

Explain how to use the combine place values strategy to find 223-119

Vikentia [17]

So, the subtraction looks like this:

   223
-119
_______

The reason why combining place values here is necessary is that 3 is less than 9 (so I can't just substract in the one's place without going to negative numbers)

so we combine the ones and tens places and substract the whole: 23-19 is four!
   223
-119
_______
   04

and then we continue
   223
-119
_______
    204

and that's the result!

3 0

3 years ago

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Camila lives 3/10 kilometer from the park. Mariam lives 4 times as many kilometers from the park as Camila. How many kilometers

kolbaska11 [484]

Answer:

1.2 kilometers

Step-by-step explanation:

0.3x4=1.2 kilometers

5 0

3 years ago

Read 2 more answers