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algol [13]
3 years ago
5

a sign at a store said all purchases were 40% off.which is another way this nuber could have been written A .1/5 off B.1/4 off C

. 3/10 off D.2/5 off
Mathematics
1 answer:
rosijanka [135]3 years ago
3 0
To concert a percentage into a fraction, first convert it into a decimal. To change a percentage into a decimal, you have to take away the percentage sign and move the decimal point two places to the left. Thus, 40% = 0.40 = 0.4 Now, to change the decimal into a fraction, you multiply both the numerator and the denominator (1) by 10. 0.4/1 = 4/10 However, in this case the fraction is in simplest form. To simplify a fraction, you have to divide the numerator and the denominator by the GCF, which in this case is 2. 4/10 = 2/5 Therefore, your answer is D. 2/5 off.
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What are the solutions to the quadratic equation 4(x + + 2)2 = 36
VikaD [51]

Answer:

x= -1 and 5

hope that helps

5 0
3 years ago
10x -(3x-8) <br><br>simplify
wlad13 [49]
Multiply -1 (the - sign is equal to -1) to both numbers in the parenthesis.

-1 * 3x = -3x

-1 * -8 = 8

So now the equation looks like....

10x - 3x + 8

Now combine like terms.

10x - 3x = 7x

7x + 8 is the answer.


**I had a hard time reading what you wrote there because it was not really that clear. Perhaps giving me a screen shot next time would make it easier for me. Thanks!
4 0
4 years ago
Which of the following is NOT a variation of a Pythagorean identity?​
Ipatiy [6.2K]

The expression that is not a variation of the Pythagorean identity is the third option.

<h3>What is the Pythagorean identity?</h3>

The Pythagorean identity can be written as:

sin^2(x) + cos^2(x) = 1

For example, if we subtract cos^2(x) on both sides we get the second option:

sin^2(x) = 1 - cos^2(x)

Which is a variation.

Now, let's divide both sides by cos^2(x).

sin^2(x)/cos^2(x) + cos^2(x)/cos^2(x) = 1/cos^2(x)\\\\tan^2(x) + 1 = sec^2(x)\\\\tan^2(x) - sec^2(x) = -1

Notice that the third expression in the options looks like this one, but the one on the right side is positive. The above expression is in did a variation of the Pythagorean identity, then the one written in the options (with the 1 instead of the -1) is incorrect, meaning that it is not a variation of the Pythagorean identity.

Concluding, the correct option is the third one.

If you want to learn more about the Pythagorean identity, you can read:

brainly.com/question/24287773

3 0
3 years ago
Out of 310 racers who started the marathon, 289 completed the race, 18 gave up, and 3 were disqualified. What percentage did not
mestny [16]

Answer:

7.1%

Step-by-step explanation:

Those that did not complete the race either gave up or were disqualified. This means that 18 + 3 = 22 people did not complete the race. The percentage is 22/310 × 100% = 7.1%

3 0
2 years ago
Determine if the following statement is true or false. (Enter TRUE if the statement is true, enter a counterexample if the state
ehidna [41]

Answer:

The answer is: the satement is FALSE.  

Step-by-step explanation:

The first step is to transform the propositons in the statement into symbols:

A: m is any positive integer

B: n is any positive integer

C: mn is a a perfect square

D: m is a perfect square

E: n is a perfect square

After that we replace the symbols into the statement:

If A and B and C, then D and E

Logical connectives on the satement are:

  • p⇒q conditional (if ...,then...). For this connective the only case when is FALSE is when the antecedent is true and the consequent is false.  
  • p ∧ q conjunction (p and q). For this connective the only case when is TRUE is when the two propositions are true at the same time.  

So now, we are going to replace the logical connectives on the statement:

((A ∧ B) ∧ C)  ⇒ (D ∧ E)

There is a hierarchy in logical connectives, first we evaluate those inside brackets. The principal connective is evaluated at the end. In this particular case, the principal connective is the conditional.

As we have five different propositions, the combinations are given by the following rule:

2^n= 2^5=32

32 different combinations  

In figure 1, added bellow, it shows the construction of truth table.

In figure 2, added bellow, it shows the development of the truth table. In the development, we don't have as a result a tautology, therefore the statement is FALSE.  

Download pdf
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
8 0
4 years ago
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