MATHEMATICS HIGH SCHOOL

In a problem it says that x is "at most –5." What does this mean?

Answers

Answer 1
Answer: It means exactly what it says. It means that x can be negative five at the MOST, but it can also be any number before that. If you were writing this for an equation it would be x is greater than or equal to five. I hope this helps you :)
Answer 2
Answer: it means that -5 is the range of your answer, it will be less than that.

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What is 1/3 the sum of 7 and 11?

Answers

Add 11 and 7

11 + 7

18

Mulitply 1/3 and 18

1/3 * 18

6

1/3 the sum of 7 and 11 is 6.

#1. What term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line? #2. Which term describes a line segment that connects a vertex of a triangle to the midpoint of the opposite side?

Answers

#1
The ALTITUDE is a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line.

#2
The MEDIAN  a line segment that connects a vertex of a triangle to the midpoint of the opposite side

Answer:

# 1

        Altitude of a triangle.

# 2

        Median of a triangle.

Step-by-step explanation:

Altitude--

An altitude is a line that passes through a vertex and it intersects the opposite side of that vertex at 90 degree i.e. the line is perpendicular to the opposite side.

The point where the three altitudes of a triangle meet is called the Orthocenter of the triangle.

Median of a triangle--

The median of the triangle is the line which passes through a vertex and meets the midpoint of the opposite side of the triangle.

The point where the three medians of a triangle meet is called the Centroid of the triangle.

State two numbers such that the lesser number is 25% less than the greater number.

Answers

75 and 100.

It is 25% lesser because if you subtract 75 and 100 from each other, you get 25.
Another pair would be 8 and 6 because 6 is 2 less than 8 and 2 is 25% of 8

PLEASE ANSWER QUICKLYThe sum of three different positive integers is 12. Show that one of them must be greater than 4

Answers

Average of these numbers are 12/3=4. So If we choose them same, they will be 4, 4 and 4. But They must different. This situation causes one of them should 5 (lowest greater number).

Sally buys a handbag. there was a discount of 30%. if sally paid, $20, what was the original price?

Answers

the original price is $28.57

If the discount is 30% then the amount paid is 70% of the original price. Sally paid $20, it is the discounted price, equivalent to 70%.

We need to divide $20 by 70% to get the original price or the 100%.

$20 / 70% = $28.57 original price.

Since the handbag was has discount of 30%, we multiply the original price with the 30% to get the discount value.

$28.57 * 30% = $8.57 discount

To check: deduct the discount from the original price to get the discounted price.

$28.57 - $8.57 = $20 discounted price. price paid by Sally

Ella and Kate played basketball last year. Ella scored 16 points per game. Kate's total points for the season were 22 less than Ella's. The following expression shows Kate's total points: 16z-22 In the expression what does the variable z represent?

Answers

The total number of games!
In the given, it is stated that Ella scored 16 points per game and that the total points of Kate were 22 less than Ella's.

If we wish to get Kate's total points and letting x as the total number of games and y as the total points, then
y = 16x - 22

Therefore, z = x, and z is the total number of games.
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