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g100num [7]
2 years ago
10

The product of a number and three increased by four is the same as fourteen less than the product of twelve and a number

Mathematics
2 answers:
Deffense [45]2 years ago
3 0

Answer:

Let the number be x.

3*x+4=12*x-14

3x+4=12x-14

Subtract 4 from both sides:

3x+4-4=12x-14-4

3x=12x-18

Subtract 12x from both sides:

3x-12x=12x-18-12x

-9x=-18

Divide both sides by -9:

\frac{-9x}{-9} =\frac{-18}{-9}

x=2

The number is 2.

kondaur [170]2 years ago
3 0
I believe the number is 2 or -2
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The owner of a hotel is installing a patio around three sides of her pool as shown. 2p2 + 4p - 6 patio p2 - 3p + 2 3p 5 pool Whi
madreJ [45]

Answer:

-The expression representing the area of the patio has four terms.

-The expression representing the area of the patio is cubic.

-The expression representing the area of the patio has a constant term.

wrong answer:

The expression representing the area of the patio is a trinomial.

7 0
3 years ago
A sales person is paid a weekly salary of $760, plus a commission of 7.5% of all her sales for the week. Express her weekly inco
Elis [28]

Answer:

1. We can see that salesperson's weekly income is the sum of her constant weekly salary ($760) and a commission which is variable and depends on her weekly sales.

So, if we say that y is her weekly income and x is her weekly sales, we can write this as:

y = 760 + 0.075x

Note that we had to change percentage to decimal number dividing it by 100.

2  Since for each value of x there is only one corresponding value of y, we can say that this is a function. For any value of x we input there is only one solution we get - that is the main feature of function and a way to tell if something is really a function.

Since this is a function, it can also be written as:

f(x) = 760 + 0.075x

3. Domain of a function is, basically, set of all values of x for which the function can work. That practically means that, since x is weekly sale, it can not be negative (one cannot make -$500 sale, for example). However, it is possible that she doesn't make a sale one week, making it possible for x to be 0. Also, the value of her sales doesn't have to be integer (it is quite possible that she makes $673.50 sale).

All this means that appropriate domain for this function are positive real numbers including 0.

6 0
3 years ago
Step by step please and thank you.
cupoosta [38]

Answer:

  the probability is 2/9

Step-by-step explanation:

Assuming the coins are randomly selected, the probability of pulling a dime first is the number of dimes (4) divided by the total number of coins (10).

  p(dime first) = 4/10 = 2/5

Then, having drawn a dime, there are 9 coins left, of which 5 are nickels. The probability of randomly choosing a nickel is 5/9.

The joint probability of these two events occurring sequentially is the product of their probabilities:

  p(dime then nickel) = (2/5)×(5/9) = 2/9

_____

<em>Alternate solution</em>

You can go at this another way. You can list all the pairs of coins that can be drawn. There are 90 of them: 10 first coins and, for each of those, 9 coins that can be chosen second. Of these 90 possibilities, there are 4 dimes that can be chosen first, and 5 nickels that can be chosen second, for a total of 20 possible dime-nickel choices out of the 90 total possible outcomes.

  p(dime/nickel) = 20/90 = 2/9

8 0
3 years ago
864 multiple by two third ?
harkovskaia [24]
Here we will explain how to calculate two thirds of 864.

Two thirds of 864 is simply two thirds times 864, which can be written as follows:

Two/thirds x 864

Furthermore, you can convert "two" to "2" and "thirds" to "3" and then the equation and answer is:

2/3 x 864 = 576.00

Two thirds written as a fraction is 2/3. You can also write it as a decimal by simply dividing 2 by 3 which is 0.67.<span>If you multiply 0.67 with 864 you will see that you will end up with the same answer as above. </span>

<span>You may also find it useful to know that if you multiply 0.67 with 100 you get 66.67. Which means that our answer of 576.00 is 66.67 percent of 864. </span>
3 0
3 years ago
Javine says, "To multiply by 1000, I just add three zeros." Kian says, "I times by 10, then times by 10 and times by 10 again."
aksik [14]

Answer:

Kian's method is correct.

Step-by-step explanation:

Javine says, "To multiply by 1000, I just add three zeros." He is incorrect.

Kian says, "I times by 10, then times by 10 and times by 10 again. When he multiply 1 by 10, it becomes 10. Then if he again multiply by 10, it becomes 10×10 = 100. And at last when he multiply again 10, it becomes 100×10 = 1000. It means Kian's methods for multiplying by 1000 is correct.

8 0
2 years ago
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