MATHEMATICS HIGH SCHOOL

If 9 is subtracted from two-thirds of a number, the result is 7. find the number. the number is 3 the number is 10.67 the number is 24

Answers

Answer 1
Answer:

2x/3 - 9 = 7

2x/3 = 16

2x = 48

x = 24

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How are rectangular prims, triangle prims, and cubes different? How are they the same

Answers

Answer:

Step-by-step explanation:

a cube is a rectangular prism with all sides equal, and therefore all faces of equal area. A rectangular prism will have 4 faces of equal area and 2 faces of equal area. ... A rectangular prism has four faces that are rectangles and two faces that are squares. A cube has six faces that are squares.

An insect egg can be as small as two hundredths of a millimeter long. What is this number written as a decimal? The decimal number is mm.

Answers

Answer:

The length of the insect is 0.005 millimeter

Step-by-step explanation:

The size of the insect is (1)/(200) part of a millimeter

(1)/(200) = 0.005 millimeter

The length of the insect is 0.005 millimeter

The following are angles in a convex quadrilateral: Angle A = 34 degrees Angle B = 108 degree Angle C = 65 degrees What is the measure of the missing angle?

Answers

In a quadrilateral all angels must equal 360 degress. So by adding your angels up and then subtracting them from 360, you will find the missing angle. 

34 + 108 + 65 = 207 

360-207 = 153 

Your unknown angle is 153 degrees
Well since it is a quadrilateral, the degrees equal 360. So add 108 + 34 + 65 = 207. Then subtract 207 from 360. 360 - 207 = 153. So 153 is your missing angle. To check just add 153 + 65 + 34 + 108 = 360.

Pete is conducting a survey to determine his customers’ overall satisfaction about the quality of his company’s products. He sends out surveys to the 5 customers who have purchased the largest number of items over the past year. Are his results likely to be representative of the population he is trying to analyze?

Answers

No.
Because, when to do some sort of analysis (such as this one), you need to take (for example) a RANDOM SAMPLE from the POPULATION of the problem that is being analyzed. In this example (problem), Pete wants to evaluate OVERALL satisfaction of customers, so he should NOT send the surveys ONLY to the customers who have purchased the LARGEST number of items, but to the randomly selected customers, in order to obtain REPRESENTATIVE results of the OVERALL satisfaction. If he sends the surveys only to the customers who have bought the largest number of items, he will obtain VERY HIGH satisfaction of customers, as results, of course, and this will not be representative results.

No.

When trying to analyze an overall satisfaction with Quality of service. The number of population he is analyzing should not be limited to a certain factor. This would cause a narrow data information gather and would not represent the entire population. The surveys should be based randomly to avoid data bias/filters and actual results would be realistic.

The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure

Answers

All 4 sides of a square are the same length.
If the perimeter of the square is 20-ft, then each side is 20-ft/4 = 5 ft.

If you increase the length of the square by 2-ft, then its new length is 5+2 = 7-ft.
 
If you decrease the width of the square by 1-ft, then its new width is 5-1 = 4-ft.

The area of the new figure is (length) x (width) = (7-ft x 4-ft) = 28 square feet.
The square before the transformation would have side lengths of 5 since 5*4=20
so increasing the length and decreasing the width would make the square a rectangle with dimensions 7×4.
a=LW
a=(7)(4)
=28ft²

Which value of x must be excluded from the domain of the function, y = 9 / 2(x + 7)?a) -2
b) -7
c) 2
d) 7

Answers

b) -7 because the dominator must be different by 0.

2(x + 7) ≠ 0    |divide both sides by 2

x + 7 ≠ 0    |subtract 7 from both sides

x ≠ -7
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