MATHEMATICS HIGH SCHOOL

Bryan’s mom spent $46.20 filling up her gas tank. If her gas tank can hold 12 gallons of gas, how much did each gallon cost?A. $3.48
B. $3.85
C. $3.86

Answers

Answer 1
Answer:

Answer: Each gallon costs $3.85

Step-by-step explanation:

We know that Bryan's mom spent $46.20 on gas, and her car can hold up to 12 gallons. Therefore all we have to do is:

$46.20 ÷ 12 = $3.85

Each gallon costs $3.85

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at 8:03 am there are 188 empty seats on the train. at 8:10 am there are 160 empty seats. the number of seats decreases by the same amout each minute. (a)what equation can be used to relate the number of minutes after 8:00 am (M) to the number of empty seats on the train (E)? (b)how many seats will be empty at 8:15? (c)at what time will there be 120 empty seats? (d)at what time will there be no empty seats left ?

Answers

Given:
8:03 = 188 empty seats
8:10 = 160 empty seat

188 - 160 = 28 empty seats
8:10 - 8:03 = 0:07 minutes

28 / 7 minutes = 4 empty seats per minute

8:00 - 8:03 = 3 minutes
3 minutes * 4 seats per minute = 12 seats

188 + 12 = 200 empty seats at 8:00

8:15 - 8:10 = 0:05 minutes
5 minutes * 4 seats per minute = 20 empty seats
160 - 20 = 140 empty seats at 8:15

200 - 120 = 80 empty seats
80 empty seats / 4 empty seats per minute = 20 minutes
120 empty seats at 8:20.

8:00 = 200 empty seats
200 / 4 = 50 minutes
8:00 + 0:50 = 8:50 is the time when there are no empty seats left.

Seven integers, x1, x2, x3, x4, x5, x6, and x7, are picked at random from the set of all integers between 10 and 110, inclusive. If each of these integers is divided by 7 and the 7 remainders are all added together, what would be the sum of the 7 remainders?

Answers

Answer:

0+1+2+3+4+5+6=21

Step-by-step explanation:

Since integers are given as x1, x2, x3, x4, x5, x6, and x7. This means they are consecutive integers divisible by 7.

Thus no matter which 7 consecutive integers are these, their reminders will always be in the order of 0,1,2,3,4,5 & 6.

So their sum  will be 0+1+2+3+4+5+6=21.

24,25,26 is a pythagorean triplet. True or fals​

Answers

Step-by-step explanation:

for this the Pythagoras equation must be true :

c² = a² + b²

c is the Hypotenuse the dude opposite of the right angle in a right-angled triangle.

as such it had to be the longest side.

so, c = 26

and we get

26² = 24² + 25²

676 = 576 + 625 = 1201

wrong, 1201 is not equal to 676, so, 24, 25, 26 are NOT a pythagorean triplet.

theinitialstatementisfalse.

The time that a traffic light remains yellow is 1 second more than 0.05 times the speed limit. 1. Write an equation that represents Y, the length of the time the light is yellow at x miles per hour.

Answers

Answer:

Step-by-step explanation:

Let's use the variable Y to represent the length of time (in seconds) that the traffic light remains yellow at a speed of x miles per hour. According to the information given, the time the light is yellow (Y) is 1 second more than 0.05 times the speed limit (x). We can write this as:

Y = 0.05x + 1

In this equation:

Y represents the length of time the light is yellow in seconds.

x represents the speed limit in miles per hour.

The equation shows that the time the light is yellow increases linearly with the speed limit, with an additional 1-second buffer.

When constructing parallel lines with a compass and straightedge, how should you start the construction?

Answers

that would build a line parallel to and passing through a given point outside the line. Building a straight line passing through the given point perpendicular to the given line. Then build a straight line passing through the given point perpendicular constructed perpendicular. Obtained in this direct and will be required.

Answer:

You should start the construction by creating a line that intersects the given line with your straightedge.

Step-by-step explanation:

You should start the construction by creating a line that intersects the given line with your straightedge.

Is a square a cross section of a rectangular and triangular prism?

Answers

Answer:

No, a square is NOT the cross section of a rectangular and triangular prism.

Step-by-step explanation:

Prisms have a uniform cross-section and are named after their cross-section. Hence, the cross-section of a rectangular prism is a rectangle and the cross-section of a triangular prism is a triangle. The only prism with a square cross-section is a cube.
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