MATHEMATICS HIGH SCHOOL

You are buying two kinds of coffee.1 pound of premium coffee costs $3.00.1 pound of regular coffee costs $2.00.You have $15.00 to spend and want to buy 1 pound of premium coffee.Use the number line to draw the solution set that shows all possible numbers of pounds of regular coffee that you could buy. Must be answered as an inequality: greater than, less than, greater than or equal to, less than or equal to, equal to.

Answers

Answer 1

Answer:

Answer:

Part 1) The maximum number of pounds of regular coffee that you can buy is 7.5 pounds.

$x\leq 7.5\ pounds$

Part 2) $m+n=(0.76x-0.28)$

Step-by-step explanation:

Part 1)

Let

x-----> the number of pounds of regular coffee

we know that

The inequality that represent the situation is

$2x\leq 15$

Solve for x

Divide by 2 both sides

$x\leq 15/2$

$x\leq 7.5\ pounds$

The maximum number of pounds of regular coffee that you can buy is 7.5 pounds.

The solution of the inequality is the interval ------> (-∞,7.5]

but the number of pounds cannot be a negative number

therefore

The solution is the interval -----> [0,7.5]

see the attached figure

Part 2) we have

$m=0.56x-0.25$

$m=0.20x-0.03$

Adds m and n

$m+n=(0.56x-0.25)+(0.20x-0.03)$

Group terms that contain the same variable

$m+n=(0.56x+0.20x)+(-0.25-0.03)$

Combine like terms

$m+n=(0.76x-0.28)$

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What is x over 6 equals 7/2

Answers

Well, let's write it out huh? x/6 = 7/2 Find the LCM LCM = The Least Common Multiple LMC = 6 Now multiply both sides by 6. x/6 * 6 = x 7/2 * 6 = 21 Rewrite it. x = 21

Arrange the following decimal numbers in descending order: 12.9, 2.9, 12.09, 2.009.

Answers

Answer: 12.9,12.09,2.9,2.009

Step-by-step explanation:

as 12.9 is the largest number, it goes first

12.09 goes next as it is the only other number that has a 12. It is smaller than 12.9 as it's tenth place is a 0

2.9 goes next as it is the next largest number

2.009 is the last as it is the smallest. It's decimal points for tenth and hundredth is both 0

To arrange the given decimal numbers in descending order, compare the whole numbers first, then move on to the tenths and hundredths place.

To arrange the given decimal numbers in descending order, start by comparing the whole number part of each decimal. Looking at the whole numbers, 12 is the highest, followed by 2. So, we have 12.9 and 2.9 remaining.

Next, compare the tenths place. Both numbers have 9 in the tenths place, so we move on to the next place: hundredths. Here, 2.9 has 0 hundredths and 12.9 has 9 hundredths. Therefore, the correct order is: 12.9, 2.9, 12.09, 2.009.

Learn more about Arranging decimal numbers in descending order here:

brainly.com/question/35981029

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The sign of a positive number divided by a negative number is always: A) Positive B) Negative C) Zero D) Undefined

Answers

Answer:

B) negative

Step-by-step explanation:

The sign of a positive number divided by a negative number is always negative.

E.g:

5 ÷ (-4) = -1.25

_______

hope this helps!

I just failed algebra for the third time someone help pls
Just tell me what to do

Answers

Answer:

study lol

Step-by-step explanation:

If a car travels 55 miles per hour how far will it travel in half an hour

Answers

Answer:

27.5 miles

Step-by-step explanation:

55 divided by 2 is 27.5

Answer:

27.5 miles

always half it when it is half a mile

A die is rolled 260 times. Predict how many times it will show a 3 or 5.

Answers

The chances of getting 3 or 5 by 260 times will be 87.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

Given that a die is rolled 260 times. The number of times it will show a 3 or 5 will be calculated as below:-

Sample = 6

Number of getting 3 = 1

Number of getting 5 = 1

Probability of getting 3 = 1 / 6

Probability of getting 5 = 1 / 6

Probability of 3 or 5 = ( 1 / 6 ) + ( 1 / 6 )

Probability of 3 or 5 = 2 / 6

Number of times of getting 3 or 5 = ( 2 / 6 ) x 260

Number of times getting 3 or 5 = 87

Therefore, the chances of getting 3 or 5 by 260 times will be 87.