It would take Delia 3 hours longer to re tile their bathroom by herself than it would for kari to retile on her own. If they work together it would take them 2 hours to retile their bathroom. How long would it take for Delia to retile the bathroom alone?

Answers

Answer 1

Answer:

6hours

Step-by-step explanation:

From the given information:

Suppose it took Karl x hours to retile her bathroom,

Then it will take Della 3 hours longer i.e (3+x) hours

If Della and Karl work together or will take them 2 hours

The objective is to determine how long it will take Delia to retile the bathroom alone?

[tex]\dfrac{1}{x}+\dfrac{1}{3+x}= \dfrac{1}{2}[/tex]

[tex]\dfrac{x+3+x}{x(3+x)}= \dfrac{1}{2}[/tex]

[tex]\dfrac{2x+3}{3x+x^2}= \dfrac{1}{2}[/tex]

By cross multiplying, we have:

2(2x+3) = 3x+x²

4x + 6 = 3x + x²

3x + x² - 4x - 6

x² - x - 6 = 0

Using quadratic equation

x² -3x +2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

(x +2) (x - 3) = 0

x + 2 = 0 or x - 3 = 0

x = -2 or x = 3

Since we are concerned about the positive integer,

Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours


Related Questions

True or false: When you multiply or divide an inequality by a negative, you flip the inequality sign
Plz tell me

Answers

Answer:

[tex]\boxed {\tt True}[/tex]

Step-by-step explanation:

This is true. Whenever you divide or multiply an inequality by a negative number, you must flip the inequality sign.

Here is an example:

[tex]-9x>27[/tex]

We have to divide both sides of the inequality by -9. Since it is a negative number, flip the inequality sign.

[tex]\frac{-9x}{-9} <\frac{27}{-9}[/tex]

[tex]x<\frac{27}{-9}[/tex]

[tex]x<-3[/tex]

So, it is true that you must flip the inequality sign when multiplying or dividing by a negative number.

Answer:

true

Step-by-step explanation:

yes true

..............

One gym has offers. Write out an equation to join and set it equal to your budget. Budget = 275, membership fees = 25 per month, flat discount = 75. How many months of a gym membership I can afford. its for 8th grade so dnt give a very complicated one thx

Answers

Answer:

8 months

Step-by-step explanation:

Given that,

Total budget = 275

Membership fee = 25 per month

Flat discount = 75

We need to find for how many months of gym membership I can afford. The equation will look like :

25x=275-75

25x=200

x = 8 months

Hence, he can afford gym membership for 8 months.

Which of this following is an expression

Answers

Answer:

Step-by-step explanation:

expressions dont have an equal sign but they have either a plus, minus, multiplying or dividing sign

Can someone please help me with this problem?

Answers

Answer:

53 - .75x < 50

Step-by-step explanation:

4 + 49 - .75x < 50

53 - .75x < 50

-.75x < -3

x > 4

He needs to remove 5 or more shirts to meet the requirement.

Answer:

53 - .75x < 50

Step-by-step explanation:

NEED NOW!!! A bag of marbles can be shared equally amoung 6, 8, or 12 students with none left iver. What is the least ammount of marbles that can be in the bag?

Answers

Answer: the least amount of marbles would be 24 because it would be divided equally among the people , with none leftover.

Step-by-step explanation: if you had 6 people, each of them would have 4 marbles. if you had 8 people each of them would get 3 marbles. and if you had 12 people, each of them would get 2 marbles.  

hope i could help :)

Simplify -2√18


Would appreciate an explanation!

Answers

Answer:

-6√2

Step-by-step explanation:

Since the largest square root in 18 is 9 we can separate it out as shown:

√18 = √9√2

We can then solve this out to 3√2

Since we have a negative two on the outside, we would multiply it by 3 ( from the 3√2).

Work:

-2√18

-2√9√2

-2(3)√2

-6√2

Answer:

Step-by-step explanation:

Prime factorize 18

[tex]-2\sqrt{18}=-2*\sqrt{3*3*2}= -2*3\sqrt{2} \\\\ = -6\sqrt{2}[/tex]


What is the length of the diagonal of the rectangle?

Answers

Answer:

21.5

HERE'S YOUR ANSWER....

HOW MUCH WAS IT HELPFUL

Which number line and expression show how to find the distance from 4 to 1

Answers

Answer:

C.

Step-by-step explanation:

The distance between two numbers on the number line is the absolute value of the difference of the numbers.

The distance between 4 and 1 is

|4 - 1|

Answer: C.

Answer:

c

Step-by-step explanation:

its the proper way

Find the values of x and y if (x+2,y)=(3,4).​

Answers

Answer:

x = 1 and y = 4

Step-by-step explanation:

Solution,

(x+2,y) = (3,4)

Now,

Comparing corresponding elements,

x+2 = 3 , y = 4

or, x = 3 - 2 , y = 4

or, x = 1 , y = 4

Therefore, the value of x is 1 and y is 4.

3x2 – 7x + 9, when x = 4
A)5
B)29
C)61
D)85

Answers

Answer:

B) 29

Step-by-step explanation:

Plug in 4 for x.

3(4)^2 - 7(4) + 9

3(16) - 28 + 9

48 - 28 + 9

20 + 9

29.

Hope this helps.

View
A tropical species of mite named Archegozetes longisetosus is the record holder for the strongest insect in
the world. It can lift up to 1.182 x 103 times its own weight. If a person who weighed 100 pounds were as
strong as this insect, how much could that person lift? Enter the answer using scientific notation.
Step-b
The person could lift
pounds.
Print

Answers

Answer:

Ummm yeah yeah 123_3

Step-by-step explanation:

1x1+3

The number of users of social media has increased significantly since the year 2001. In fact, the approximate number of users has tripled each year. It was reported that in 2005 there were 3 million users of social media.

a. Assuming that the number of users continues to triple each year, for the next three years, determine the number of users in 2006, 2007, and 2008.



How many users were there in 2006?

Answers

Answer:

9 million

Step-by-step explanation:

3 million × 3 = 9 million

I hope this helps!

The number of users in 2006, 2007, and 2008 will be 9 million, 27 million, and 51 million respectively.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

It is given that, the approximate number of users has tripled each year and in 2005 there were 3 million users of social media.

The number of users in 2006 = 3 × number of users in 2005]

The number of users in 2006 = 3 × 3 million
The number of users in 2006 = 9 million

The number of users in 2007 = 3 × number of users in 2006

The number of users in 2007 = 3 × 9 million
The number of users in 2007 = 27 million

Thus, the number of users in 2006, 2007, and 2008 will be 9 million, 27 million, and 51 million respectively.

Learn more about the sequence here:

brainly.com/question/21961097

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which expression is equivalent to 2(n-1)-2s(-2n-3)

A) 4sn+6s +2n-2

B)-n-3-4sn+3s

C)2+[tex]s_7[/tex] ×n+6n

D)2+8n+6sn

Answers

The correct answer would be A

11=3−4/3x solve for x

Answers

11 = 3 - 4/3x

11 = (9 - 4x)/3

33 = 9 - 4x

24 = -4x

24/4 = - x

x = -6

will give brainliest answer

Answers

Answer:

true

true

false

Step-by-step explanation:

the triangle is equal throughout but not symmetrical.

Helen is merging images from her two favorite movies so that the characters from the different movies appear to be dueling with each other. The editing program she is using has a virtual protractor, which tells Helen that the character in the first picture is holding her sword at a 43 angle and that the character in the second picture is holding his sword at a 107 angle. In the merged image that Helen creates, what will the angle between the characters’ swords be?

Answers

Answer:

[tex]the \: angle \: between \: the \: characters’ \: swords\: \\will \: be \: 30[/tex]

Step-by-step explanation:

[tex]both \: characters \: swords \: form \: \\ a \: triangular \: shape \: with \: 43 \: and \: 107 \: \\ as \: thier \: bases. \\ to \: find \: the \: unknown \: angle \: we \ \\ \: employ \: that \: the \: sum \: of \: angles \: in \: a \\ \: triangle \: = \: 180. \\ so \: 180 - (107 + 43) = 30.[/tex]

pls help!!!!!!!!!!!!!!

Answers

The answer to this question is 9,898.
You are very welcome

What value of 'x' would make lines n and m parallel?

Answers

x=39 because consecutive angles are congruent

Write the equation of a line through point (-5,1) and perpendicular to 2x - 3y = 6.

Answers

Answer:

y = 2/3x - 2

Step-by-step explanation:

Step 1:

y = mx + b       Slope Intercept Form

Step 2:

2x - 3y = 6           Equation

Step 3:

- 3y = - 2x + 6     Subtract 2x on both sides

Step 4:

y = 2/3x - 2           Divide - 3 on both sides

Answer:

y = 2/3x - 2

Hope This Helps :)

you are going on vacation and leaving your dog in a kennel. kennel a charges $25 per day which includes a one-time grooming treatment. kennel b charges $20 per day and a one-time fee of $30 for grooming. if your vacation is 7 days long, which kennel should you choose? explain.

Answers

Answer:

is this a quiz?

Step-by-step explanation:

Which equation represents the unit fraction shown in the diagram? A grid model with 100 squares. 20 squares are shaded. StartFraction 20 Over 100 EndFraction = one-fifth StartFraction 20 Over 100 EndFraction = two-fifths StartFraction 20 Over 100 EndFraction = one-half StartFraction 20 Over 100 EndFraction = StartFraction 1 Over 10 EndFraction

Answers

Answer:

the anserw is c

Step-by-step explanation:

i took the test

WORTH 50 POINTS graph y=4/7x−2​. i need two points

Answers

Cant really show you how to do it but the graph would start at the y axis at (0,-2) then from there each point would move to the left 4 and up 7 or back 4 and down 7. It would form a straight line.

[tex]\sf \longmapsto y=4/7x−2[/tex]

[tex]\sf \longmapsto \dfrac{4}{7} x - 2 = y[/tex]

[tex]\sf \longmapsto \dfrac{4}{7} x - 2 + 2 = y + 2[/tex]

[tex]\sf \longmapsto \dfrac{4}{7} x = y + 2[/tex]

[tex]\sf \longmapsto \dfrac{4}{7 } x \bigg/ \dfrac{4}{7} = \dfrac{y + 2}{ \dfrac{4}{7} } [/tex]

[tex]\sf \longmapsto x = \dfrac{7y + 4}{14} [/tex]

Graph attached

PLEASE HELP! I WILL MAKE YOU BRAINLIST!

Answers

The answer is A, because the perimeter in cm is 19 and if we multiply 19 by 6.5 we get 61.75

i don’t understand anything someone please help me :/

Answers

Answer:

answer choice c=6

Step-by-step explanation:

since the question says that round to the nearest

mile then you would round 5.7 to get you 6 so

your answer is 6

Hope this help you :))

 please give me branliest.                                                              

College student makes decorative Styrofoam Lions and Husky's which she sells each year. Each one uses 8 oz of Styrofoam and takes 35 minutes to make. Each husky uses 12 oz of Styrofoam and takes 20 minutes to me. Furthermore, each line brings in a profit of $2.50 while each husky brings in a profit of $3. If she only has 3840 ounces of Styrofoam to work with and has 9650 minutes, how many of each animal should she make in order to maximize profits? What is the maximum profit possible?

Answers

Answer:

She should make 122 Styrofoam lions and 268 Styrofoam Husky's

The maximum profit, she makes is  $1109

Step-by-step explanation:

The given information are;

The volume required to make each lion = 8 oz

The time it takes to make each lion = 35 minutes

The amount of profit each lion brings = $2.50

The volume required to make each Husky = 12 oz

The time it takes to make each Husky = 20 minutes

The amount of profit each Husky brings = $3

Let the number of lion Styrofoam cups she makes = x

Let the number of Husky Styrofoam cups she makes = y

Therefore, we have;

x × 35 + y × 20 = 9650..........(1)

x × 8 + y × 12  = 3840.............(2)

Dividing equation (2) by 8 and making x the subject, we get;

x × 8/8 + y × 12/8  = 3840/8

x + 4/3·y = 480

x = 480 - 4/3·y

Substituting the value of x in equation (1) gives;

(480 - 4/3·y) × 35 + y × 20 = 9650

16800 - 80/3·y = 9650

y = 268.125

x = 480 - 4/3·y  = 480 - 4/3×268.125 = 122.5

Therefore, she can make 122 Styrofoam lions and 268 Styrofoam Husky's

The maximum profit, she makes is therefore given by the following equation;

The maximum profit = 122 × 2.5 + 268 × 3 = $1109.

Taylor multiplied 8.25 x 104 and 0.4 x 104 and got 8.65 x 104
Explain Taylor's mistake and give the correct answer. (1 pt. for the explanation and 1 pt. for the correct answer.)

Answers

Answer:

Taylor added. The correct answer is 3.3*10^8

Step-by-step explanation:

Taylor haven't consider the exponents properties and multiplication was also incorrect.

What are exponents?

Exponent refers to how many times a number multiplied by itself.

Given:

8.25 x [tex]10^{4}[/tex] and 0.4 x [tex]10^{4}[/tex]

Now, multiplying by considering exponents as

a^m * a^n = a^( m+ n)

So,

=8.25 * 0.4 * [tex](10) ^{4+4}[/tex]

= 3.3 * [tex]10^8[/tex]

Hence, Taylor haven't consider the exponents properties and multiplication was also incorrect.

Learn more about exponents here:

https://brainly.com/question/5497425

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can somebody simply explain a unlinear functions???​

Answers

Answer:

The graph of a linear function is a line. ... Linear functions have a constant slope, so nonlinear functions have a slope that varies between points. Algebraically, linear functions are polynomials with highest exponent equal to 1 or of the form y = c where c is constant. Nonlinear functions are all other functions.

nonlinear functions are functions that are not linear functions. Therefore, they have the opposite properties of a linear function. The graph of a linear function is a line. Thus, the graph of a nonlinear function is not a line.

Step-by-step explanation:

A family of five went out to dinner at HogTastic Pit BBQ. They all ordered the buffet and drink at $12.80 each. They left a 15% gratuity for the waitress on the after-tax bill. Based on a tax rate of 7.5%, they ended up paying a total of $ for dinner.

Answers

Answer:

$79.12

Step-by-step explanation:

Given the following :

Cost per order = $12.80

Number of people = 5

Gratuity left for waitress = 15%

Tax rate = 7.5%

Total bill before tax:

$12.80 * 5 = $64

Bill after tax:

$64 * (1 + 7.5%)

64 - 4.8

= $68.80

Final amount paid:

After tax bill + (after tax bill * Gratuity rate)

$68.80 + (68.80 * 15%)

= $79.12

(01.02 LC)Simplify 5 − (−1).

Answers

Answer:

Your answer is: 6

Simplify the expression.

6

Step-by-step explanation:

Hope this helped : )

Answer:

6

Step-by-step explanation:

5- (-1), the negative signs will be positive signs, 5 + 1, so we'll get 6.

Half the product of two numbers x and y minus five times a third number z

Answers

Answer: (X times Y) 1/2 - 5 ( Z/3 )

Step-by-step explanation:

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