All categories

3 years ago

Find a counterexample to show that the following statement Is false. The sum of two digit numbers is a three digit number

Mathematics

1 answer:

Zarrin [17]3 years ago

5 0

Answer:

See explanation below.

Step-by-step explanation:

We have the statement that says that the sum of two two-digit numbers is a three digit number.

To prove that this statement is false, we only need to give a counterexample. This means that we have to find two two-digit numbers that does not sum a three digit number.

Let's take 11 and 12, if we sum them we have: 11 + 12 = 23.

23 is clearly a two digit number.

Therefore, the sum of two two-digit numbers is not a three digit number.

You might be interested in

A high school student reads four more biographies than historical fiction books during the semester. The student also reads two

olga_2 [115]

B=h+4, m=h-2 now we are told

b+h+m=11, using b and m found above in this equation gives us:

h+4+h+h-2=11

3h+2=11

3h=9

h=3 and since b=h+4, m=h-2

historical=3, biography=7, mystery=1

6 0

3 years ago

Read 2 more answers

Which of the following binomials is a factor of x^3+4x^2+x-6

larisa [96]

The answer could be 3, 2, or 1

5 0

3 years ago

Ms. Wilson invested $34000 in two accounts, one yielding 8% interest and the other yielding 9%. If she received a total of

Digiron [165]

Answer:

Amount invested at 8 % rate = x = $ 15000

Amount invested at 9 % rate = 34000 - x = 34000 - 15000 = $ 19000

Step-by-step explanation:

Total Amount = $ 34000

Let amount invested at 8 % rate = x

Amount invested at 9 % rate = $ 34000 - x

Total interest = $ 2910

$2910 = \frac{x (8) (1)}{100} + \frac{(34000-x) (9) (1)}{100}$

291000 = 8 x + 306000 - 9 x

x = 306000 - 291000

x = 15000

So amount invested at 8 % rate = x = $ 15000

Amount invested at 9 % rate = 34000 - x = 34000 - 15000 = $ 19000

3 0

3 years ago

Every day, about 140,000,000 plastic water bottles are bought in the United States. Each bottle is about 0.250 meters long, and

tatuchka [14]

0.250*140,000,000=35,000,000
40,000,000/35,000,000= 1.14
So about 1 time

3 0

3 years ago

What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve.x = + √7/9 and x = ±1 x = + √7/9 and x = ±

snow_tiger [21]

Answer:

Step-by-step explanation:

9x⁴ – 2x² – 7 = 0

Let's say that u = x²:

9u² – 2u – 7 = 0

Factor:

(u – 1) (9u + 7) = 0

u = 1, -7/9

Since u = x²:

x² = 1, -7/9

x = ±1, ±i √(7/9)

6 0

3 years ago

Read 2 more answers