A janitor had 4/7 of a spray bottle of a cleaning solution. He used 1/8 of the solution in a day. How much of the bottle did he have?

HELPPPPPP (Worth 10 Points:) URGENTTTTT
DUE AT 10:39!!!!!!!!!!!1

Answers

Answer 1

Answer:

25/56

Step-by-step explanation:

First, find a common denominator. (in this case 56, multiply denominators)

4 x 8          32

7 x 8          56

1 x 7             7

8 x 7           56

now

32               7                     25

-----     -      -----        =        ------

56              56                    56

Since this cannot be simplified, this is my answer.

Answer 2

The amount of solution Janitor has is [tex]\frac{1}{2}[/tex].

It is given that Janitor had 4/7 of a spray bottle of a cleaning solution out of which he used 1/8 of the solution in a day.

We have to find out that how much spray bottle he still have.

What will be the value , 2 times of 1/2 subtracted from 3 ?

The value will be 2.

Janitor had [tex]\frac{4}{7}[/tex] of spray bottle of a cleaning solution.

Amount of solution used by him in a day = [tex]\frac{1}{8}[/tex] of   [tex]\frac{4}{7}[/tex]

= [tex]\frac{4}{56}[/tex] = [tex]\frac{1}{14}[/tex]

The amount of spray bottle which he have now ;

= [tex]\frac{4}{7}[/tex] - [tex]\frac{1}{14}[/tex]

= [tex]\frac{8-1}{14}[/tex]

= [tex]\frac{7}{14}[/tex] = [tex]\frac{1}{2}[/tex].

Thus , the amount of solution he has is [tex]\frac{1}{2}[/tex].

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Related Questions

how do I find range and domain

Answers

RANGE: find the difference between the lowest and the highest values. EX: in (4, 6, 9, 3, 7) the lowest value is 3 and the highest is 9 so the range would be 9-3=6. 6=range

DOMAIN: to find the domain set the bottom equal to zero and exclude the X value you find when you solve the equation.

бx + 8 = 50
I need that answer

Answers

Answer:

=

7

Step-by-step explanation:

In 2012, there were approximately 275 students in the Delaware High School band. In 2018, that number increased to 305. Find the annual rate of change in the number of students in the band.

Answers

It is five more people joining the band every year. This is because there was an increase of 30 people, over a six year period. You then have to divide thirty by six to get the change rate of 5 more people in the band each year

A rate of change tells us how one quantity changes in relation to another quantity.

The annual rate of change in the number of students in the band is 5.

What is rate of change?

A rate of change is a rate that tells us how one quantity changes in relation to another quantity.

We have,

Number of students in the band in 2012 = 275

Number of students in the band in 2018 = 305

The rate of change in the number of students in the band:

= 305 - 275 / 2018 - 2012

= 30 / 6

= 5

Thus the annual rate of change in the number of students in the band is 5.

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Two parallel lines are crossed by a transversal,
What is the value of x?
x = 21
x = 28
x=35
115
x 37

Answers

It is 37
Yes do you need a solution

The solution is, the value of x is, 115, as Angle x =  angle 115°.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

Given : Two parallel lines are crossed by a transversal.

To find :  What is the value of x.

Solution : We have given Two parallel lines are crossed by a transversal.

Corresponding angles : A pair of angle that lies on the same side of the  transversal line one lies on interior angle and other lies on exterior.

Corresponding angle are equal.

Then , angle x =  angle 115 are corresponding.

Therefore, angle x = angle 115.

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Suppose you have seven movies on DVD (two comedy, three action, and two horror) to put on a shelf. If you choose the DVDs at random, what is the probability that the first one is horror and the second one is action?
A: 66.67%
B: 7.14%
C: 4.76%
D: 14.29%

Answers

Answer: D: 14.29%

Step-by-step explanation:

Given: Total movies = 7

Categories: Comedy = 2, Action = 3 ,horror = 2

Probability that first one is horror = [tex]\dfrac{\text{Number of horror movies}}{\text{Total movies}}[/tex]

[tex]=\dfrac{2}{7}[/tex]

Remaining DVDs =6

Probability that first one is horror and the second one is action = [tex]\dfrac{2}{7}\times \dfrac{\text{Number of action movies}}{\text{remaining movies}}[/tex]

[tex]=\dfrac27\times\dfrac{3}{6}=\dfrac{1}{7}[/tex]

In percent, [tex]\dfrac{1}{7}\times100\%=14.29\%[/tex]

Hence, the correct option is D: 14.29% .

Anybody Know This Answer Well. ?

Answers

Answer:

no srry

Step-by-step explanation:

No sorry ur welcome

The administration at a high school wants to conduct a survey of student opinion. Administrators want to begin with a simple random sample of 100 students. Which of the following survey methods will produce a simple random sample? (4 points)
A-Survey the first 100 students to arrive at school in the morning
B-Survey every 10th student entering the school gym until 100 students are surveyed
C-Use random numbers to choose 25 each of freshmen, sophomores, juniors, and seniors Number the gym seats. Use a table of random numbers to choose seats and interview the students until 100 have been interviewed.
D- Number the students on the school roster.
E-Use a table of random numbers to choose 100 students from this roster for the survey.

Answers

Answer:

C

Step-by-step explanation:

Each year will have 25 student

solbe for x : x-1/x+3x+3=0​

Answers

Answer:

x=1/4 or x=-1

Step-by-step explanation:

x−

1

x

+3x+3=0

4x2+3x−1

x

=0

Step 1: Multiply both sides by x.

4x2+3x−1=0

(4x−1)(x+1)=0(Factor left side of equation)

4x−1=0 or x+1=0(Set factors equal to 0)

x=

1

4

or x=−1

Check answers. (Plug them in to make sure they work.)

x=

1

4

(Works in original equation)

x=−1(Works in original equation)

Answer:

x=

1

4

or x=−1

The graph below shows the amount of money Janet earned at her new job.
Janet's Earnings
у
80
70
60
50
Money Earned ($)
40
30
20
10
0
2 4 6 8 10 12 14 16
Hours Worked
How much does Janet earn per hour?

Answers

Answer:

b

Step-by-step explanation:

The amount of money Janet earns per hour is given by the slope of the line m = $ 7.50

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 4 , 30 )

Let the second point be Q ( 8 , 60 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = amount of money Janet earns per hour

So , slope m = ( 60 - 30 ) / ( 8 - 4 )

On simplifying , we get

The amount of money Janet earns per hour = 30/4

The amount of money Janet earns per hour = $ 7.50

Hence , the amount of money Janet earns = slope = $ 7.50

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i mark as brainliest ​

Answers

Answer:

5 and 39/40.

Step-by-step explanation:

2x−5y−z=17
x+y+3z=19
−4x+6y+z=−20

Answers

You want us to answer all 3??

Gabe and Gabriella must write expressions equal to 8(3 + 5). Gabe wrote 8(5 + 3). Gabriella wrote 8(3) + 8(5). Which statement is true about these expressions?

A. Gabe used Distributive Property
B. Gabe used Associative Property
C. Gabriella used Distributive Property
D. Gabriella used Associative Property

Answers

I think the answer is C.I’m not sure let me know what you get .

A doctor gives a patient a 70% chance of surviving bypass surgery after a heart attack. If the patient
Isurvives the surgery, then the patient has a 40% chance that the heart damage will heal. Find the
probability that the patient survives the surgery and the heart damage heals. The probability is nothing

Answers

Answer:

The probability the person will survive the bypass surgery and that the heart damage will heal is about 28%

Step-by-step explanation:

(7/10)*(4/10)*100=28

To solve for probability of situations like this you have to multiply the fractional values of the two percentages and multiply by 100 to get the new percentage.

Using conditional probability, it is found that there is a 0.28 = 28% probability that the patient survives the surgery and the heart damage heals.

Conditional Probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Surviving.Event B: Healing.70% chance of surviving, thus [tex]P(A) = 0.7[/tex].If the patient survives, 40% chance of healing, thus [tex]P(B|A) = 0.4[/tex].

The probability of both is [tex]P(A \cap B)[/tex], then:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(B|A)P(A)[/tex]

[tex]P(A \cap B) = 0.4(0.7)[/tex]

[tex]P(A \cap B) = 0.28[/tex]

0.28 = 28% probability that the patient survives the surgery and the heart damage heals.

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Put the numbers in order from smallest to largest.

1 .
9.15
fourth
2 .
9.376
second
3 .
9.51
third
4 .
9.3
what would it be

Answers

Answer:

Step-by-step explanation:

1/4

1/3

1/2

1

2

3

4

9.15

9.3

9.376

9.51

If n is the least two consecutive odd integers, which of the following represents the sum of the two integer?

Answers

Answer:2n+2

Step-by-step explanation:

Nicole buys candy that costs $4 per pound. She will spend more than $28 on candy. What are the possible numbers of pounds she will buy?

Answers

hejewjssijwjjwjjdjsisjsjwjwjwjajrkekkakkakekrkrkeekkwwkkwakwkwwiwiwid

Using synthetic division, what is the quotient of this expression? 2x^2 + 5x - 7 divided by x - 2

A. 2x + 7

B. 2x + 9 + 11 divided by x - 2

C. 2x + 1 - 5 divided by x - 2

D. 2x - 5

Answers

Answer: 2x + 9 + 11/x - 2

Step-by-step explanation:

2x^2 + 5x - 7 divided by x - 2 we get quotient 2x + 9 .

What is synthetic division algebra?Synthetic division is a method for doing Euclidean division of polynomials that requires less writing and calculations than long division. The approach is most commonly taught for division by linear monic polynomials (known as the Ruffini's rule), but it can be adapted to division by any polynomial.Divide the dividend by the divisor to find the quotient of a division problem. This can be accomplished by using repeated subtraction or lengthy division. The quotient of two integers, two fractions, or two algebraic terms can be found.

[tex]\frac{2x^2 + 5x - 7 }{x-2}[/tex] after  Synthetic division we get  2x + 9 as the quotient and reminder 9

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Solve and show the steps to the picture attached

Answers

Answer:

The image of point (2, 4) after transformation is (-2, 13) ⇒ D

Step-by-step explanation:

Let us revise some transformation

Translation right-left OR up-down

If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  ⇒ add x-coordinate of every point by hIf the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  subtract x-coordinate of every point by hIf the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  add y-coordinate of every point by kIf the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k  ⇒ subtract y-coordinate of every point by k

A vertical stretching and a vertical compression (or shrinking)

If m > 1, the graph of y = m • f(x) is the graph of f(x) vertically stretched by factor m.  ⇒ multiply every y-coordinate by mIf 0 < m < 1 (a fraction), the graph of y = m • f(x) is the graph of f(x) vertically shrunk (or compressed) by factor m  ⇒ multiply every y-coordinate by m

Let us use these rules to solve the question.

∵ Point (2, 4) lies on y = x²

∵ The image of y = x² is y = 3(x + 4)²+1

→ The rules of transformation is y = m(x + h)² + k

m is the scale factor of a vertical stretched

m = 3

→ By using the 5th rule above

∴ The y-coordinate of point (2, 4) should multiply by 3

∴ The image of the point is (2, 4 × 3) = (2, 12)

∵ h is the horizontal translation to the left

h = 4

→ By using the 2nd rule above

∴ The x-coordinate of point (2, 12) should subtract by 4

∴ The image of the point is (2 - 4, 12) = (-2, 12)

∵ k is the vertical translation up

k = 1

→ By using the 3rd rule above

∴ The y-coordinate of point (-2, 12) should add by 1

∴ The image of the point is (-2, 12 + 1) = (-2, 13)

The image of point (2, 4) after transformation is (-2, 13)

4 km - 280 m
what is the answer​

Answers

Answer:

Look at step-by-step

Step-by-step explanation:

Either 120 m or 1.2 km

Answer:

3.72 kilometers

Step-by-step explanation:

just subtract man

Chris has 12 sweets. He has 3 red, 6 blue, 1 yellow and 2 green sweets what fraction of his sweets is red Answer

Answers

Answer:

He has had a quarter of the red sweets (1/4)

Step-by-step explanation:

3/12 is 1/4 when simplified

Answer:

1/4 or 3/12

Step-by-step explanation:

There are 3 red sweets out of all the sweets (3/12).

A simplified version of 3/12 would be 1/4.

Describe a transformation that could be used to show that alternate interior angles are congruent.

Answers

Answer:

Step-by-step explanation:

From the picture attached,

Let 'l' be the original line having one angle ∠BAC.

If the original line 'l' is shifted or translated to line 'm', angle BAC will replace the angle BDE.

Since, measure of angles are preserved in the translation,

m∠BDE = m∠BAC [corresponding angles]

Since, ∠BDE ≅ ∠MDA [Vertical angles]

Therefore, m∠MDA = m∠BAC

Hence, alternate interior angles (∠MDA) and (∠BAC) will be congruent when line 'l' is translated to line 'm'.

1
6 + 10 ÷ 2 − 32 = ?

A.
2
B.
1
C.
0
D.
−1
E.
−2

Answers

Answer:

b

Step-by-step explanation:

its b

I need help and I don’t know what to do! What is 6x+y=17?

Answers

Answer:

6×+y-17=0 it is the correct answer and hope this help for you

A light bulb consumes 1800 watts-hours per day. How many watt- hours does it consume in 5 days and 6 hours

Answers

Answer:

9900 watts-hours is how much it consumes in a period of 5 days and 12 hours.............to check this: multiply 1800 by 5 and it equals 9000 then you divide 1800 by 2 because 12hours is a half day and it is 900 after all that you add 9000+900 and it equals 9900

Mark me as brainliest if u found the answer helpful

Answer: well just do the math 1800 times 24 is 43200 times 5 is 216000

and 1800 times 6 is 10800 plus 21600 is.......226800

Step-by-step explanation:

do the math!!!!!

Select the values that make the statement true.
StartFraction n Over 100 EndFraction = StartFraction 1 Over d EndFraction = p%
n =
d =
p =

Answers

Answer:

Select the values that make the statement true.

StartFraction n Over 100 EndFraction = StartFraction 1 Over d EndFraction = p%

   

n =

✔ 5

d =

✔ 20

p =

✔ 5

Step-by-step explanation:

PLZ give brainliest!!! <3

Two numbers have prime factors of 2, 3, 5, and 11 that they share. What is the greatest common factor of the two numbers?

Answers

Answer:

The greatest common factor (GCF) of the two numbers is 330.

Step-by-step explanation:

Given;

prime factors of the two numbers = 2, 3, 5, and 11

The greatest common factor (GCF) of the two numbers is given as;

Greatest Common Factor (GCF) = 2 x 3 x 5 x 11

Greatest Common Factor (GCF) = 330

Therefore, the greatest common factor (GCF) of the two numbers is 330.

Answer:

330

Step-by-step explanation:

HURRY PLEASE HELP

What is the approximate distance from the origin to the point (−10, −4, 5)? Round to the nearest tenth. 4.4 units 10.4 units 11.9 units 19.0 units

Answers

The answer is 11.9 units

First you must set up the distance formula.

[tex]\sqrt[]{ (-10-0)^2+(-4-0)^2+(5-0)^2}[/tex]

Then, simplify like terms.

[tex]\sqrt{(-10)^2+(-4)^2+(5)^2}[/tex]

Next, simplify exponents.

[tex]\sqrt{100+16+25}[/tex]

Then, add like terms.

[tex]\sqrt{141}[/tex]

Finally, round to the nearest tenth.

11.9

At a swimming pool there are 2 managers 8 lifeguards 3 concession stand clerks and 2 maintenance people. If a person is selected at random what is probability that person is either a lifeguard or manager

Answers

Step-by-step explanation:

The total number of people mentioned in this problem is 15. 15 will be the denominator for the probability in fraction form. The sum of the # of people that include lifeguards and managers will be the numerator.

Therefore, the probability that the person picked is either a manager or a lifeguard is 10/15 [because there are 2 managers and 8 lifeguards; 2 + 8 =10].

Fraction form of probability: 10/15

Decimal form: 0.6 repeated

Percent form: about 66.67%

The probability that person is either a lifeguard or manager is 2/3.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

There are 2 managers 8 lifeguards 3 concession stand clerks and 2 maintenance people.

Total = 2 + 8 + 3 + 2 = 15

So, P(lifeguard) = 8/15, P(Manager) = 2/15.

Then, P ( lifeguard or Manager)

= 8/15 + 2/15

= 10/15

= 2/3.

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Simpty to create an ealent expression
8k-5(-5k+3)

Answers

Answer:

Tge answer:8k+25k-15

HELP ASAP PLEASE!!!!!!!!

Answers

Answer:

b) in the fourth round, there was one team left in the tournament.

c) no because with only one team left, the tournament ends.

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