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ohaa [14]
3 years ago
15

2. Which expression(s) can represent the sale price of the boots where x is the original price of the boots? Select ALL that app

ly. 0/4 A. 0.2x B. 0.8x C. 1.2x D. x - 0.2x E. x - 0.8x
Mathematics
1 answer:
Tomtit [17]3 years ago
7 0

Answer:

The correct option is B) 0.8x

Step-by-step explanation:

Consider the provided information.

Nancy is buying a new pair of boots. The store is having a sale and all boots are 20% off.

Let the original price is represented by x.

After getting 20% off the amount need to pay is:

Sale price = x-20% of x

\text{Sale price}=x-\frac{20}{100}x

\text{Sale price}=x-0.2x

\text{Sale price}=0.8x

Hence, the sales price of the boots is 0.8x.

Thus, the correct option is B) 0.8x

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Solve the system of linear equations. <br> −8x+5y=26<br> 9x−3y=−3
Sloan [31]

Answer: x = 3 and y = 10

Step-by-step explanation:

-8x + 5y = 26     .................. equation 1

9x - 3y = -3          ................ equation 2

Solving the system of linear equations by elimination method.

The means we have to make the coefficient of one of the variable the same in order to eliminate the variable first.

Let us eliminate the variable y first , this means we will multiply equation 1 by 3 and multiply equation 2 by 5. Doing this , we have

-24x + 15y = 78      ............. equation 3

45x - 15y = -15     ................ equation 4

Now that we have the same coefficient , we have to check their signs , if the have the same signs , we will subtract , that is , if both are having positive signs , we will subtract , if both have negative signs , we will also subtract but if their signs differ we will add. Following this rule and considering the equations above , the coefficients of y have different signs , so we will add equation 3 and equation 4 , so we have:

21x = 63

x = 63/21

x = 3

Substitute x = 3 into equation 1 or equation 2 to get the value of y , using equation 2 , we have

9x - 3y = -3

9(3) - 3y = -3

27 - 3y = -3

27+3 = 3y

30 = 3y

30/3 = y

Therefore y = 10

Therefore : x = 3 and y = 10

8 0
3 years ago
Name two points that are reflections of each other across the y-axis.
zheka24 [161]

Answer:

(1,1), (-1,1)

Step-by-step explanation:

To reflect a point over the x-axis, simply make its x-value negative. So, we can take the sample point of (1,1), make its x-value negative, and get (-1,1).

5 0
3 years ago
9 please help with 9 <br><br> 10 what is P
LenaWriter [7]

Answer:

9.

The probabilities are the same

10.

1/3

Step-by-step explanation:

9.

Assuming the coin is fair;

The probability of getting heads in a single toss is, P(H) = 1/2

The probability of getting tails in a single toss is, P(T) = 1/2

Now, P(H,H,H) is the probability of obtaining 3 heads in the e tosses. Since each toss is independent of the others,;

P(H,H,H) = P(H)*P(H)*P(H)

              = 1/2 * 1/2 * 1/2 = 1/8

On the other hand, P(H,T,H) is the probability of obtaining a head followed by a tail followed by a final head. Using the independence property;

P(H,T,H) = P(H)*P(T)*P(H)

              = 1/2 * 1/2 * 1/2 = 1/8

Therefore, P(H,H,H) = P(H,T,H)

10.

We are informed that a coin is tossed and a number cube is rolled. We are to determine the following probability;

P(heads, a number less than 5)

Assuming the coin is fair;

The probability of getting heads in a single toss is, P(H) = 1/2

Assuming the number cube is fair as well, the probability of rolling a number less than 5 is;

4/6 = 2/3

This is because there are 4 numbers less than 5, (1, 2, 3, 4) while the cube has 6 sides.

P(heads, a number less than 5), the events presented here are independent since the outcome from tossing the coin does not in any way determine the outcome from rolling the number cube. Therefore,;

P(heads, a number less than 5) = P(heads)*P(a number less than 5)

                                                    = 1/2 * 2/3 = 1/3

3 0
3 years ago
The quotient of 300 and the quality of x times 2
asambeis [7]
\frac{300}{ x^{2}} 
4 0
3 years ago
Read 2 more answers
in order to solve the system of equations below , harvey multiplies each equation by a constant to eliminate the x terms.
kicyunya [14]

Answer:

14x + 6y = 10 \\  - 14x - 35y = 77

multiply all terms in the top equation by 2

multiply all terms in the second equation by -7. it would then add the two equations together to cancel out the variable x

You will then have two equations in terms of y

solve for y and either equation then substitute that value for y into the other equation then solve for x

6 0
3 years ago
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