MATHEMATICS HIGH SCHOOL

The product of eight minus a number and seven equals forty when decreased by five. Which equation represents the sentence?A)
5(x - 8) - 7 = 40


B)
5(8 - x) - 7 = 40


C)
7(x - 8) - 5 = 40


D)
7(8 - x) - 5 = 40

Answers

Answer 1
Answer:

Answer : D  7(8-x)-5 = 40

The product of eight minus a number and seven equals forty when decreased by five

Let the unknown number be x

eight minus a number means 8 -x

For product we multiply

The product of eight minus a number and seven

It means the product of 8-x  and 7

So expression becomes 7(8-x)

The product of eight minus a number and seven equals forty when decreased by five

To decrease by 5 we subtract 5

7 (8-x) -5 and this equals 40

So equation becomes 7(8-x)-5 = 40
Answer 2
Answer: D.) 7(8 - X) - 5 = 40

let X = unknown number

eigth minus a number is 8 - x. since the product is seven and eight minus a number then 7 * [8-x] or 7(8-5).
40 is its equivalent when the product is decreased by 5; therefore, 7(8-x) - 5= 40.

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The slope of a line is and the point (-6, 11) lies on the line. What is the equation of the line in slope-intercept form?

Answers

Answer:

Answer: y = 1/2x + 14

Step-by-step explanation:

he equation of the line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

We know that the slope of the line is 1/2, and we know that the point (-6, 11) lies on the line. We can use this information to solve for b.

Substituting (-6, 11) into the equation y = 1/2x + b, we get:

11 = 1/2(-6) + b

11 = -3 + b

b = 11 + 3

b = 14

Therefore, the equation of the line in slope-intercept form is y = 1/2x + 14.

Answer: y = 1/2x + 14

Which of the following is a monomial? A. 3x2 + 2x − 1
B. 4
C. 3x + 4
D. 2x − 1

Answers

"mono" means 1 or single. In algebra, a monomial is any number that is alone or by itself. For this question, among the choices, the monomial is the number 4. Therefore the answer to this question is letter B. 4.

URGENTWhat is the area of trapezoid ABCD ?



Enter your answer as a decimal or whole number in the box. Do not round at any steps.

units²

Answers

Answer:

The answer to your question is Area = 62.5 u²

Step-by-step explanation:

Area = c (a + b)/(2)

a and b are bases

c = heigth

dAD = \sqrt{(x2 - x1)^(2) - (y2 - y1)^(2)  }

dAD = \sqrt{(-1 + 13)^(2) - (5 + 11)^(2)  }

dAD = \sqrt{(12)^(2) - (16)^(2)  }

dAD = √(144 + 256)

dAD = √(400)

dAD = 20 u

dBC = \sqrt{(3 - 0)^(2) - (2 + 2)^(2)  }

dBC = √(9 + 16)

dBC = √(25)

dBC = 5 u

dAB = \sqrt{(3 + 1)^(2) - (2 - 5)^(2)  }

dAB = \sqrt{(4)^(2) - (-3)^(2)  }

dAB = √(16 + 9)

dAB = √(25)

dAB = 5u

Area = 5 (20 + 5)/(2)

Area = 5 (25)/(2)

Area = 5(12.5)

Area = 62.5 u²

Answer:

62.5 units^2

Step-by-step explanation:

Multiply the problem,

Answers

Answer:

The answer to your question is the letter B

Step-by-step explanation:

Data

                 | 5  0 |   | 2  - 1 |

                 | 3 -5 |   | 2  - 2|

Process

1.- This is the product of two matrices 2 x 2 so the result will be a 2 x 2 matrix.

- Multiply the first row of the first matrix by the first column of the second matrix.

-Multiply the first row of the first matrix by the second column of the second matrix.

- Multiply the second row of the first matrix by the first column of the second matrix.

-Multiply the second row of the first matrix by the second column of the second matrix.

                 | 5  0 |   | 2  - 1 |         | (5 x 2) + (0 x 2)    (5 x -1) + (0 x -2) |

                 | 3 -5 |   | 2  - 2|    =   | (3 x 2) + (-5 x 2)   (3 x -1)  + (-5 x -2)|

                                              =  | 10 + 0    -5 + 0 |

                                                  | 6 - 10     -3 + 10|

                                             = | 10  - 5 |

                                                | -4     7|

I need full solution

Answers

Answer:

11= EC

Step-by-step explanation:

EC = 10 + 2 x + 19

= x + 20

So 2 x + 29 - x - 20 = 0

so x + 9 = 0

x = -9.

EC = x + 20 = -9+20 = 11.

Answer:

EC = 11 units

Step-by-step explanation:

  • first we find the value of x

10 + 2x + 19 = x + 20

2x - x = 20 - 10 - 19

x = -9

--------------------------------

check

10 + 2(-9) + 19 = -9 + 20

10 - 18 + 19 = -9 + 20

11 = 11

same value the answer is good

  • Now we find EC

EC = 10 + 2x + 19

EC = 10 + 2(-9) + 19             (remember PEMDAS)

EC = 10 - 18 + 19

EC = 11 units

An employee worked 160.5 hours in may, 165.75 hours in June and 152.25 hours in july. What was the average number of hours you worked each month?

Answers

To find the average, you have to add everything up and divide by the amount that you have. In this case, you need to add together 160.5, 165.75 and 152.25, and then divide by 3.
160.5+165.75+152.25= 478.5
You've then got to divide this by three.
478.5/3= 159.5
Therefore, the average hour worked each month bu the employee is 159.5
Hope this helps :) 
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