Kevin is buying water for his camping trip. He knows he needs at least 20 gallons of water for the trip. He already has five and

Answer:

3) A line has one dimension, length. (True)

5) A plane is made up of an infinite collection of lines. (True)

Explanation:

Geometry has three undefined terms:

a) point

b) line

c) plane

Examining the given statements:

1) A point described as (x, y) has two dimensions — this is incorrect because a point has no dimensions.

2) A plane has clear start and end points — this is false as a plane extends infinitely without boundaries.

3) A line has exactly one dimension, which is its length. (True)

4) A point consists of countless lines — this is false; actually, a line consists of infinite points.

5) A plane consists of an unending set of lines. (True)

An acute angle measures under 90°. An angle bisector is a ray that divides an angle into two equal neighboring angles. For example, if you have an angle of 270°, which exceeds a semicircle, it divides into two angles of 135° each. In this instance, the resulting angles are not acute; rather, they are obtuse.

First note the ratio is
7:2 so divide 7 by 2 to get 7/2 = 3.5. Then add 3.5 to 2, yielding the result 5.5

Let x denote the count of $5 bills and y signify the count of $10 bills. It can be stated that "the number of $10 bills is twice the number of $5 bills." Thus, y is 2 times x. We can formulate an equation, y = 2x (equation 1). The total value of all bills amounts to $125, allowing us to create another equation: 5*(number of $5 bills) + 10*(number of $10 bills) = 125. That leads to the equation 5(x) + 10(y) = 125 (equation 2). By substituting y = 2x into equation 2, we get 5(x) + 10(2x) = 125. This simplifies to 5x + 20x = 125. Combining like terms yields 25x = 125. Dividing both sides by 25 results in x = 5. By substituting x = 5 in the first equation, we find y = 2(5) = 10. Consequently, there are 5 $5 bills and 10 $10 bills.

Answer:

Ben could have sold a maximum of 6 turkey sandwiches.

Step-by-step explanation:

Turkey sandwiches are priced at $2.50, while veggie wraps cost $3.50 at the snack stand.

Our goal is to determine the largest number of turkey sandwiches Ben might have sold.

4 veggie wraps were sold (y).

Thus, the inequality is: 2.50x + 3.50(4) < 30

2.50x + 14 < 30

- 14 - 14

2.50x < 16

Ultimately, Ben could sell a maximum of 6 turkey sandwiches.