MATHEMATICS HIGH SCHOOL

You are going to mix a gallon bucket of window cleaner. The instructions direct you to mix 1 part cleaner to 3 parts water. How much cleaning solution will you need to use?* 1 ½ quarts 1 pint 2 quarts 1 quart

Answers

Answer 1

Answer:

Answer:

Option D. 1 quart

Step-by-step explanation:

In a solution of 1 gallon we have to calculate the amount of cleaning solution will be needed.

Since mixture prepared will be in the ratio of 1 : 3 (cleaning solution : water)

So total amount of cleaning solution in 1 gallon = $(1)/(4)$ gallon

As we know 1 gallon = 4 quarts

so $(1)/(4)$ gallons = ( $(1)/(4)$ )(4) = 1 quart

Therefore, 1 quart of the cleaning solution will be added.

Answer 2

Answer:

1 quart

Further explanation

Given:

You are going to mix a gallon bucket of the window cleaner.
The instructions direct you to mix 1 part cleaner to 3 parts water.

Question:

How much cleaning solution will you need to use?

1 ½ quarts
1 pint
2 quarts
1 quart

The Process:

From the text above, we will mix the window cleaning liquid in a gallon bucket by mixing 1 part cleaner to 3 parts water. In other words, the ratio of the mixture between the cleaning solution with water is 1 : 3.

The sum of the ratios is 1 + 3 = 4, meaning that in a gallon bucket there are four parts.

Furthermore, based on this ratio we can state the composition in solution as follows:

$\boxed{(1)/(4)}$ of a gallon bucket is a cleaning solution
$\boxed{(3)/(4)}$ of a gallon bucket is water

Remember that $\boxed{ \ 1 \ gallon = (1)/(4) \ quarts \ }$ .

Thus we need $\boxed{ \ (1)/(4) \ }$ of cleaning solution to mix a gallon bucket of window cleaner.

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the sum of two numbers is 67. the smaller number is 3 less then the larger number. what are the two numbers?

Answers

thats the answer

x2 - 8x - 15

hope it helps

$Two\ numbers\ are\ x\ and\ x-3 \n x+x-3=67 \n 2x-3=67 \n 2x=70 \n x=35 \n \n 35\ and\ 35-3 \n \boxed{35\ and\ 32}$

A bag contains 88 red, 66 orange, and 99 green jellybeans. What is the probability of reaching into the bag and randomly withdrawing 1212 jellybeans such that the number of red ones is 22, the number of orange ones is 44, and the number of green ones is 66? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

Answer:

P ( 2 R , 4 O , 6 G ) = 0.0261

Step-by-step explanation:

Given:

- Red beans = 8

- Orange beans = 6

- Green beans = 9

Find:

What is the probability of reaching into the bag and randomly withdrawing 12 jellybeans such that the number of red ones is 2, the number of orange ones is 4, and the number of green ones is 6?

Solution:

- The question requires the number of selection of 12 jellybeans we can make from total available such that out of those 12 we choose 2 Red, 4 Orange and 6 Green.

- For selection we will use the combinations. So to choose 2 Red from 8; Choose 4 Orange from 6 and 6 green from 9 available. The number of possible outcomes with such condition is:

Outcomes ( 2 R , 4 O , 6 G ) = 8C2 * 6C4 * 9C6

= 28*15*84

= 35280

- The total number of outcomes if we randomly select 12 beans irrespective how many of each color we select from available 23 we have:

Outcomes ( Select 12 from 23 ) = 23C12

= 1352078

- Hence, the probability for the case is given by:

P ( 2 R , 4 O , 6 G ) = Outcomes ( 2 R , 4 O , 6 G ) / Outcomes ( Select 12 from 23 )

P ( 2 R , 4 O , 6 G ) = 35280 / 1352078 = 0.0261

choose the equation below that represents the line passing through the point (1, −4) with a slope of 1/2. a.) y − 4 = 1/2(x − 1) b.) y 4 = 2(x − 1) c.) y 4 = 1/2(x − 1) d.) y − 4 = 2(x 1)

Answers

Point (1, -4)
Slope=1/2
y=mx+c
y=1/2x +c
-4=1/2(1)+c
-4=1/2+c
c=-4-1/2
c=-4 1/2
y= $(1)/(2) x- (9)/(2)$

Rite an equation of a line parallel to line EF in slope-intercept form that passes through the point (2, 6).E
Oy=2x+3
Oy = 3x + 6
F
Oy=-3x+23
Oy=-3x+6
22

Answers

The equation of a line parallel to line EF in slope-intercept form is Oy = 2x + b, where b is the y-intercept.

To determine the value of b, we will use the fact that this line passes through the point (2, 6).

Plugging in the x-coordinate of the point (2, 6) into the equation Oy = 2x + b, we get:

6 = 2(2) + b

6 = 4 + b

Subtracting 4 from both sides, we get:

2 = b

Therefore, the equation of the line parallel to line EF in slope-intercept form that passes through the point (2, 6) is:

Oy = 2x + 2.

The two box-and-whisker plots below show the scores on a math exam for two classes. What do the interquartile ranges tell you about the two classes?

Answers

The interquartile range is a measure that indicates the extent to which the central 50% of values within the data set are dispersed.
The interquartile range: Upper quartile - Lower quartile
As we can see in the box-and-whisker plots:
Class A: 89-66 = 23
Class B: 94-79 = 15
This shows that the spread in the scores of class A within the central 50% of values is higher than the spread of the scores of the class B.

How long does it take to double a $1,000 investment that pays 6.5% annual interest, compounded monthly?Which equation can you use to solve this problem?
To the nearest year, it will take about ___
years to double the original investment.

Answers

To the nearest year, it will take about 10.7 years to double the original investment.

How to solbve for the period it would take

In this case, the principal P is $1,000, the interest rate r is 6.5% or 0.065 (in decimal form), the number of times compounded per year n is 12 (compounded monthly), and we want to find the time t when the investment doubles, so A is $2,000.

$2000 = 1000(1 + 0.065/12)^(12t)$

$2 = (1 + 0.065/12)^(12t)$

ln(2) = 12t * ln(1 + 0.065/12)

t = ln(2) / (12 * ln(1 + 0.065/12))

t ≈ 10.7

Read more on compounded monthly here brainly.com/question/31242519

#SPJ2

Answer: edgen

B 2=(1+0.065/12)^12t

Step-by-step explanation:

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