MATHEMATICS HIGH SCHOOL

Hurry plz!!! Which two numbers have a least common multiple of 60?OA) 12 and 15
OB) 6 and 10
OC) 6 and 15
OD 6 and 12

Answers

Answer 1
Answer:

Answer:

A) 12 and 15

Answer 2
Answer: B is the correct answer

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Laura fills a bucket with water at a rate of 6 L/min. At the same time, Sarah empties a bucket holding 30 L of water at a rate of 9 L/min. Let l represent the number of liters of water and let t represent time in minutes. The system models this situation.How many minutes will it take for the buckets to hold equal amounts of water, and how much water will that be?

l = 6t

l = 30 – 9t


It will take ____ minutes for both buckets to hold equal amounts of water. They will each hold ____ liters.

Answers

0+6 L per min
30-9 L per min
so let x represent the time
0+6 times x and
30-9 times x
we want to know what time they will be equal so set them equatl to each other
0+6x=30-9x
6x=30-9x
add 9x to both sides
15x=30
divide both sides by 15
x=2
at 2 mins, they will be equal
find out what that is
subsitute in 0+6x
0+6(2)=0+12=12L

the answers are 2 minutes and 12 liters respectively

If a car travels at a speed of 25 mi/h for t hours, then travels 45 mi/h for m hours. What does the expression 25t + 45m represent

Answers

The expression of 25t +45m shows the total number of miles driven at both speeds. In order to solve this equation you would need to know the total number of hours driven in order to multiply that by the appropriate speed in terms of miles per hour.

() = 2 + 4 and () = 2^x2x + 4?

Answers

 closed interval represented by [a, b] consists of all real numbers x such that a < x < b. An open ... 2 < x < 5 would have the interval notation [2, 5). x > 7 would have the ... 0. 7. 0 < x < 7. [0, 7]. 4) (. ] ... The domain would be: ).,2()2,2()2,

Can i know the steps to this answer?

Answers

(cos²Ф - 1) / sin Ф * 1/sin Ф=
1(cos²Ф-1) / (sin Ф* sinФ)=
(cos²Ф-1) / sin² Ф=

--------------------------------------------------------------
Fundamental relation of trigonometry:
sin²Ф + cos²Ф=1  ⇒  sin²Ф=1-cos²Ф  ⇒-sin²Ф=cos²Ф-1
--------------------------------------------------------------

-sin²Ф/sin²Ф=1

Answer: (cos²Ф - 1) / sin Ф * 1/sin Ф=-1

Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes.Let x represent the number of quick washes and let y represent the number of premium washes. Which system of linear equations represents the situation?
5x + 8y = 775 and x + y =125
5x – 8y = 125 and x + y = 775
5x + 8y = 775 and x – y = 125
5x – 8y = 125 and x – y = 775

Answers

Let x represent the number of quick washes and let y represent the number of premium washes.

1. One quick wash costs $5, then x quick washes cost $5x.

One premium wash cost $8, then y premium washes cost $8y.

They made $775 from a combination of quick and premium washes, then in total they made $(5x+8y) that is $775. The first equation is

5x+8y=775.

2. They had washed 125 cars, x cars by quick wash and y cars by premium wash, that is x+y in total. Then tha second equation is

x+y=125.

Only option A represents the situation.
Given:
quick washes = x ; $5
premium washes = y ; $8

x + y = 125
5x + 8y = 775

Correct answer is the 1st option.

x = 125 - y
5(125 - y) + 8y = 775
625 - 5y + 8y = 775
3y = 775 - 625
3y = 150
y = 150/3
y = 50 number of premium washes

x = 125 - 50
x = 75 number of quick washes

A chess player moves a knight from the location (3,2) to (5,1) on a chessboard. If the bottom-left squared is labeled (1, 1), the translation made is? If the player moves the knight from (5, 1) to (6, 3), the translation made is?

Answers

1. A chess player moves a knight from the location (3,2) to (5,1) on a chessboard.This means that

(3,2)→(5,1).

the translation rule is

(x,y)→(x+2,y-1) or in words 2 units right and 1 unit down.

2. If the player moves the knight from (5, 1) to (6, 3), then the translation is

(5,1)→(6,3)

and the rule is

(x,y)→(x+1,y+2).

This is translation 1 unit right and 2 units up.
First translation: 2 units to the right and 1 unit down.

Second translation:1 unit to the right and 2 units up
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