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jok3333 [9.3K]
3 years ago
7

The cost of a new math textbook and a study guide together is $58. Three of the math textbooks and two study guides cost $165. H

ow much does one textbook alone cost?
Mathematics
1 answer:
kompoz [17]3 years ago
6 0

Answer:

Cost of one textbook = $49

Step-by-step explanation:

Given:

Cost of 1 textbook and 1 study guide = $58

Cost of 3 textbook and 2 study guide = $165

Find:

Cost of one textbook

Computation:

Assume,

Cost of one textbook = a

Cost of one study guide = b

So,

a + b = 58

b = 58 - a

3a + 2b = 165

3a + 2(58-a) = 165

3a - 2a + 116 = 165

a = 49

Cost of one textbook = $49

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Describe and correct the error(s) made in each of the problems below.
ladessa [460]

Answer:

\displaystyle \frac{1-x}{(5-x)(-x)} =-\frac{x-1 }{ x(x-5)}

\displaystyle \frac{5}{s}\times \frac{2}{5} =\frac{2}{s}

Step-by-step explanation:

<u>Errors in Algebraic Operations </u>

It's usual that students make mistakes when misunderstanding the application of algebra's basic rules. Here we have two of them

  • When we change the signs of all the terms of a polynomial, the expression must be preceded by a negative sign
  • When multiplying negative and positive quantities, if the number of negatives is odd, the result is negative. If the number of negatives is even, the result is positive.
  • Not to confuse product of fractions with the sum of fractions. Rules are quite different

The first expression is

1-x / (5-x)(-x)=x-1 / x(x-5)

Let's arrange into format:

\displaystyle \frac{1-x}{(5-x)(-x)} =\frac{x-1 }{ x(x-5)}

We can clearly see in all of the factors in the expression the signs were changed correctly, but the result should have been preceeded with a negative sign, because it makes 3 (odd number) negatives, resulting in a negative expression. The correct form is

\displaystyle \frac{1-x}{(5-x)(-x)} =-\frac{x-1 }{ x(x-5)}

Now for the second expression

5/s+2/5=2/s

Let's arrange into format

\displaystyle \frac{5}{s}+\frac{2}{5} =\frac{2}{s}

It's a clear mistake because it was asssumed a product of fractions instead of a SUM of fractions. If the result was correct, then the expression should have been

\displaystyle \frac{5}{s}\times \frac{2}{5} =\frac{2}{s}

6 0
3 years ago
What is the value of q in the equation 5q − 10 = 75?
Kamila [148]

Answer:

should be 17

Step-by-step explanation:

5 0
2 years ago
What is the product?<br> (6r-1)(-8r-3)<br> -4872-10r +3<br> - 48r2-10r-3<br> -48P?+ 3<br> -48r2-3
Korolek [52]

Answer:

-48r²-10r+3

Step-by-step explanation:

The answer would not be a negative 3 because -3×-1=3

Hope this helped!

6 0
3 years ago
Read 2 more answers
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kondor19780726 [428]
5 of the 6 exits were men, so the experimental probability that a man exits the room is 5/6.
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С = πD 
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С = 126 in ← <span>to the nearest inch </span>
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