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Dvinal [7]
3 years ago
14

Find all real numbers x that satisfy the equation (x-4)(x-8) = 12.

Mathematics
1 answer:
denis-greek [22]3 years ago
7 0

Answer:

x=10

Step-by-step explanation:

(10-4)(10-8) = 12

(6)(2) =12

12 = 12

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Lea sold 2 cherry pies and 4 pumpkin pies for a total of $116. Kali sold 7 cherry pies and 8 pumpkins pies for a total of $286.
Nitella [24]

Answer: the cost of one cherry pie is $18 and the cost of one pumpkin pie is $20

Step-by-step explanation:

Let x represent the cost of one cherry pie.

Let y represent the cost of one pumpkin pie.

Lea sold 2 cherry pies and 4 pumpkin pies for a total of $116. This means that

2x + 4y = 116 - - - - - - - - - - - - - -1

Kali sold 7 cherry pies and 8 pumpkins pies for a total of $286. This means that

7x + 8y = 286 - - - - - - - - - - - - 2

Multiplying equation 1 by 7 and equation 2 by 2, it becomes

14x + 28y = 812

14x + 16y = 572

Subtracting, it becomes

12y = 240

y = 240/12 = 20

Substituting y = 20 into equation 1, it becomes

2x + 4 × 20 = 116

2x + 80 = 116

2x = 116 - 80 = 36

x = 36/2 = 18

7 0
3 years ago
Which of the following is a statistical question?
Elena L [17]
C how many students attend natashas school
7 0
3 years ago
The pie chart to the right shows how adults rate their financial shape. Suppose 4 people are chosen at random from a group of 14
Salsk061 [2.6K]

<u>Question Completion</u>

PIE CHART NUMBERS:

  • Excellent 9%
  • Good 41%
  • Fair 36%
  • Poor 13%
  • Other 1%

Answer:

0.000063

Step-by-step explanation:

Number of Respondents, n=1400

Probability that they would rate their financial shape as​ excellent = 0.09

Number of Those who would rate their financial shape as excellent

=0.09 X 1400

=126

Therefore:

The probability that 4 people chosen at random would rate their financial shape as​ excellent

=\dfrac{^{126}C_4 \times ^{1400-126}C_0}{^{1400}C_4} \\=\dfrac{^{126}C_4 \times ^{1274}C_0}{^{1400}C_4}\\=0.000063 $(correct to 6 decimal places)

6 0
3 years ago
What is the reason for each step in the solution of the equation? 18−2x=4x
Reika [66]
In order to solve an equation for a certain variable, you should isolate that variable on one side of the equation and leave all the other terms on the other side on the equation.
The, you solve to get the value of the variable.

The equation we have here is:
<span>18−2x=4x
First, we need to isolate the terms containing the "x" on one side of the equation. To do this, we will add 2x to both sides of the equation:
</span><span>18−2x+2x=4x+2x
18 = 6x
Now, we need to get the value of the "x". To do this, we will simply divide both sides of the equation by 6:
18/6 = 6x/6
3 = x .............> This is the solution of the equation</span>
3 0
3 years ago
Read 2 more answers
Subtract -139.6 - 140.03
kobusy [5.1K]

Answer:

-279.63

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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