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erastovalidia [21]
3 years ago
10

I don’t understand why is it “not possible”.

Mathematics
1 answer:
Zanzabum3 years ago
5 0

Let's solve the inequalities: we have

-\dfrac{2}{3}x

and

\dfrac{3}{4}x

Since the two inequality must be true at the same time (there is an "and" between the two), we should find a number that is, at the same time, greater than -6, and smaller than -8. But since -6 is greater than -8, a number greater than -6 is automatically greater than -8 as well. So, it is impossible for a number to be greater than -6 and smaller than -8.

If negative numbers confuse you, this example shows the same (impossible) logic: we can't ask for a number to be greater than 10, but smaller than 3.

As for the second exercise:

3x-9\leq 9 \iff 3x \leq 18 \iff x \leq 6

4-x\leq 3 \iff -x \leq -1 \iff x \geq 1

So, a number satisfies this system if it is smaller than 6 or greater than 1. This means that at least one of the conditions must be satisfied, and this is always the case:

  1. If we choose a number smaller than 1, the second condition is met
  2. If we choose a number between 1 and 6, both are met
  3. If we choose a number greater than 6, the first condition is met

So, whatever number we choose, at least one of the conditions will be true, and the logical "OR" will be satisfied.

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Help me out please!
Marina86 [1]

Answer: Depends on what you come up with . /:

Step-by-step explanation:

3x-11+x+9= if u no the form for this... -x with 3x and -9 -11 should to a division problem so u divide from both sides leaving x = your sum.

4 0
3 years ago
Find the actual sum of 1 3/4+1 5/8 do the Turman how much David grew into years explain how you know your answer is reasonable
kotegsom [21]

Answer:

  3 3/8

Step-by-step explanation:

We assume your intended question is ...

  "Find the actual sum of 1 3/4 + 1 5/8 to determine how much David grew in two years. Explain ..." (Proper word choice and punctuation help communication.)

The sum of the two given mixed numbers can be found several ways. One way is to write the fractions using a common denominator:

  1 3/4 + 1 5/8 = 1 6/8 + 1 5/8 = (1 +1) +(6/8 +5/8) = 2 + 11/8 = 3 3/8

David grew 3 3/8 in two years.

__

Both numbers are near and slightly more than 1.5, so their sum will be near and slightly more than 3.

3 0
3 years ago
7/7q+21= x /5q^2-45 then x=?​
anzhelika [568]

Answer:

x = 5q - 15

Step-by-step explanation:

\frac{7}{7q+21}=\frac{x}{5q^{2}-45}\\\\\frac{7}{7(q+3)}=\frac{x}{5 (q^{2} -9)}\\\\frac{1}{q+3}=\frac{x}{5*(q^{2}-3^{2})}\\\\\frac{1}{q+3}=\frac{x}{5(q+3)(q-3)}\\\\\frac{1}{q+3}*5*(q+3)(q-3)=x\\\\5(q-3)=x\\\\x= 5q-15

3 0
3 years ago
Olivia ordered 24 cupcakes and a layer cake costs 16$ and the total cost of the order was 52$ what was the price of each cupcake
Tju [1.3M]

Let x be the price of a cupcake. There are 24 cupcakes so it will be 24x. Solution: 24x+16=52 24x=52-16 24x=36 Divide both sides by 24 X=1.5. The price of each cupcake is 1.5$

8 0
3 years ago
3. ​Subtract 1.7 - 0.8 = _____ tenths - _____ tenths = _____ tenths = ______ what are the tenths
ANTONII [103]

Answer:

17 tenths - 8 tenths=9 tenths

Step-by-step explanation:

1.7 tenths is 17 tenths, we can see that by multiplying 1.7x10 to get 17

dot he sam with 0.8 to get 8 tenths

ti find the answer, subtract the units. 17-8=9

4 0
3 years ago
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