Randy and Trey take turns cleaning offices on the weekends. It takes Randy at most 4 hours to clean the offices. It takes Trey at most 6 hours to clean the offices. What is the greatest amount of time it would take them to clean the offices together?
2.4 hours
2.5 hours
3.0 hours
4.0 hours

The answer is supposedly 2.4 hours, but how ?? Please explain. Thanks!

Answers

Answer 1

In one hour Randy cleans at least 1/4 of the offices and in one hour Trey cleans at least 1/6 of the offices.

Working together they would clean at least 1/4 + 1/6 = 5/12 of the offices.

Let x be the greatest amount of time it would take them to clean the offices together. Then we can write the following equation:

5x/12=1


Related Questions

(7x2 - 2x - 5)(3x2 + 2x - 3)

Answers

Step-by-step explanation:

I think this answer will be correct

if BC = 6x-16 and CD = 4x + 10, then x = ?

Answers

Answer:

13

Step-by-step explanation:

BC and CD are equal, so both equations will equal eachother.

6x - 16 = 4x + 10

     +16         +16

------------------------

    6x = 4x +26

    -4x  -4x

------------------------

      2x = 26

      ----   -----

       2      2

        x = 13

Hope this helped.

A square section of a kitchen floor is made of
64 square tiles. How many tiles are on each
side of the square section of the kitchen floor?

Answers

I think it’s 8 bc the area is 64 so if u divide you get 8 for each side of the floor

19 of 25 QID: 94600

For the function f(x) = x2 + 4, identify the values of f(0), f(1/2), and f(−1).


0; 19/4; 5
0; 19/4; 3
4; 17/4; 5
4; 17/4; 3

Answers

Answer:

4; 17/4; 5

Step-by-step explanation:

For f(0)

Replace all x to 0:

f(0)=0^2+4

4

For f(1/2)

1/2^2+4

Which is 17/4

For f(-1)

-1^2+4

Which is 5

Hope this helps!

HELP DETERMINE THE RANGE OF THE FOLLOWING GRAPH … I WILL MARK BRAINLIEST

Answers

While the domain is how far left-to-right the graph goes (it’s about the x-values),

the range is about how low to how high the graph gets. The range is about the y-values used in the graph.

Your graph bottoms out at -6 and tops out at 4, but never gets to 4, because of that open circle.

So the range is -6 ≤ y < 4. Note that we use y for the range.

Interval: [-6,4)
Set-builder: { y | -6 ≤ y ≤ 4 }
Again, be sure to use y in the set-builder.

The price of an item is 33.10 You give the cashier two $20 bills. What is the change?

Answers

Answer:

answer) the change is $7.90

I think the answer is $6.90

Is 2πr (2r+√(h^2+4r^2 ) ) over πr(r+√(h^2+r^2 )) a simplified algebraic ratio?

Answers

Answer : 1+1 = 11

22+22 = 2222

2 2. Solve. Show your work. Harry can swim 20 laps in a pool in 18 minutes (swimming at a constant speed). How many laps could he swim in 45 minutes? (Swimming with the same speed.)​

Answers

Answer:

there will be 50 laps in 45 minutes.

Step-by-step explanation:

Laps in 18 minutes=20

Caculate laps for 1 minute:

Laps in 1 minute=20/18

Now ,calculate laps for 45 minutes:

Laps in 45 minutes=20/18 × 45

= 50

Note: if you have any question about it you can ask.Thanks

(solving rates) At a school camp

there is enough

food for 150

students for 5

days. a How long

would the food last

if there were only

100 students? b If

the food ran out

after only 4 days,

how many

students attended

the camp?

Answers

5 days food for 150 students suggests there was 750 day rations

If there was 100 students this would last 750/100 = 7.5 days.

If it ran out after 4 days there were 750/4 = 187 students (187.5 not valid)

(5x² +7xy+10y²) (5x-7y)

Answers

I dont even know anything about math

Need help ASAP pls pls!!!!!!

Answers

Answer:

60

Step-by-step explanation:

the total games that Sara played =

14+18+28 = 60

hewo um what is 1804 divided by 12 and has anyone seen my hacker friend.

Answers

Answer:

150.333

Step-by-step explanation:

The three is repeated

B is on line AC. If AC = 28, AB = x^2+2x, and BC = x, Find the value of x and AB

Answers

X=10. Is the awnser for this one

X = 4

Step-by-step explanation:

AB + BC = AC

x^2 +2x + x = 28

×^2 + 3× - 28 = 0

Step 1: Factor left side of equation.

(x−4)(x+7)=0

Step 2: Set factors equal to 0.

x−4=0 or x+7=0

x=4 or x=−7

x = 4 is the correct answer because the distance cant be negative

name two pairs of congruent angles in the figure. Justify the answer. help please!

Answers

Answer: a. <aib & <bic

Step-by-step explanation: because those two angles are both 45 degrees, meaning they are congruent.

In the given options, there are two pairs of congruent angles in the figure. They are ∠AIB and ∠BIC according to the Equal Complements Theorem. ;∠AIC and ∠BID according to the Right Angles Congruent Theorem. Option a and c is the correct answer.

Congruent angles are angles that have the same measure. In other words, if two angles are congruent, it means that they have the same degree of rotation or the same amount of opening between their sides. Option a and c is the correct answer.

1. ∠AIB and ∠BIC according to the Equal Complements Theorem. The Equal Complements Theorem states that if two angles are complementary to the same angle (or congruent angles), then they are congruent to each other. In the figure, both ∠AIB and ∠BIC are complementary to angle ∠BIC. Therefore, according to the Equal Complements Theorem, ∠AIB and ∠BIC are congruent angles.

2. ∠AIC and ∠BID according to the Right Angles Congruent Theorem. The Right Angles Congruent Theorem states that all right angles are congruent. In the figure, both ∠AIC and ∠BID are right angles. Therefore, according to the Right Angles Congruent Theorem, ∠AIC and ∠BID are congruent angles. Therefore, the correct pairs of congruent angles in the figure are ∠AIB and ∠BIC, as well as ∠AIC and ∠BID.

Learn more about Congruent here:

https://brainly.com/question/28262429

#SPJ3

What is the value of X?​

Answers

Answer:

5 * sqrt(3)

Step-by-step explanation:

The sine of 60 degrees is equal to x/10 because x is opposite to it and 10 is the hypotenuse. Since the sine of 60 degrees is equal to sqrt(3)/2, sqrt(3)/2 = x/10. Because 5sqrt(3)/10 = sqrt(3)/2, 5sqrt(3)/10 = x/10 and therefore 5sqrt(3) = x.

The answer would be 5 and something to help you when doing these questions is using sin tan cos. If you search it up it shows which one to use when it comes to equations like this. And when you find it you enter it in your calculator. Since you need the opposite your gonna use COS. Cos(60) = 10 and then your gonna put an x under cos(60) as if it was a fraction and do cross multiply. And that’s how you will get 5.

The second angle in a triangle is 3 degrees less than twice the first angle. The third angle measures 8 degrees more than twice the first angle. FInd each angle

Answers

man this math sucks i have no idea i need points tho

The first flock contained 5283 birds . The second contained 5 times as many birds the third flock had twice as many birds as the second flock . How many birds were there in all?

Answers

Answer:

84528 birds

Step-by-step explanation:

number of birds in the 2nd flock = 5283 * 5 = 26415

number of birds in the 3rd flock = 26415 * 2 = 52830

total = 5283 + 26415 + 52830 = 84528

the answer is 84528 birds! :)

Gary rents three DVDs each week at Fantastik Flicks. Write an algebraic expression for Wn, the total number of points earned in the nth week

Answers

For the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]

Your question is not complete, it seems it is missing the following information below;

DVD rentals:         1    2    3    

Total DVD points:  3   5    7    

The number of points earned is a function of number of DVD rentals.

For the first DVD, the number of points earned;

[tex]n_1 = p_1 + c\\\\where;\\c \ is \ the \ constant \ point \ earned[/tex]

3 = 1 + c

3- 1 = c

2 = c

For nth week the total point earned is given as;

[tex]n_t_h = p_n + c\\\\n_t_h = p_n + 2[/tex]

Thus, for the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]

Learn more here: https://brainly.com/question/18077111

Here we have a problem with arithmetic sequences.

After a small online search, I've found that:

Fantastik Flicks gives: 3 points for the first rental, 5 points for the second rental, 7 points for the third rental

And so on.

We will find that the total of points in the n-th week is given by:

Wₙ = 15 + (n - 1)*18

Looking at the number of points given for each rental, we can see that we have an arithmetic sequence with an increase of 2, 3, 5, 7, 9, 11, 13, 15,...

We want to find the total of points earned in each week. For example, for the first week the total of points is: W₁ = (3 + 5 + 7) = 15

For the second week, the total of points is: W₂ = (9 + 11 + 13) = 33

For the third week, the total number of points is: W₃ = (15 + 17 + 19)  = 51

Now let's see if Wₙ also is arithmetic. To see this, we need to look at the difference between consecutive elements of Wₙ.

W₂ - W₁ = 33 - 15 = 18

W₃ - W₂ = 51 - 33 = 18

So in both cases we got the same difference, this makes a lot of sense, taking in account that we construct the Wₙ with an arithmetic sequence, so is logical that the sequence {Wₙ} is also arithmetical.

Now that we know this, we can see that in the n-th week, the total of points will be: Wₙ = W₁ + (n - 1)*18Wₙ = 15 + (n - 1)*18

If you want to learn more, you can read:

https://brainly.com/question/19007362

100 students are interviewed to see which of biology, chemistry or physics they prefer. 29 of the students are girls. 9 of the girls like biology best. 20 of the boys prefer physics. 9 out of the 27 who prefer chemistry are girls. What percentage of the students prefer biology?

Help would be highly appreciated! <3

Answers

Answer:

42%

first we find the totals of each gender which was indicated that there are 29 girls in total ...making it 71 boys there to make100 students .

then it is shown that 9 girls like biology and boys ...anon

20 boys prefer physics and out of the 29 students who like chemistry ..18 are boys which now gives us 38 boys out of 71 .

to get the boys who like biology u subtract 38 from their total which is 71 to get 33.

33 + 9 = 42

42/100 = 42%

a) The bus fare of 8 passengers is Rs 640. If the fare is decreased by Rs 5 per passenger, how many passengers can travel for Rs 900?​

Answers

Answer:

THE ANSWER IS 12 because :

640÷8=80

80-5=75

900÷75=12.

Total 12 passenger can travel for, Rs900.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Fare of 8 passengers = Rs640

Therefore, fare of 1 passenger = 640/8 = Rs80

Since, the fare is decreased by Rs5 per passenger,

Therefore, new fare = 80 - 5 = Rs75

The number of passengers that can travel for, Rs900

= 900/75

= 12

Total 12 passenger can travel for, Rs900.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

A. Tai, Jorge,mike Gwen

B. Gwen, Jorge, mike, tai

C. Tai, mike, Gwen, Jorge

D. Gwen, mike, Jorge, tai

Answers

D. since 11% in decimal is 0.11 only. 1/9 in decimal is 0.111111111... 0.12 jorge and 1/8 in decimal is 0.125

help please!!!!!!!!!!!!!! im bad at math​

Answers

Answer:

[tex]thank \: you[/tex]

Answer:

5k 1/2

Step-by-step explanation:

here you go!!!!!!!!!!!!!!

A swimming pool is 50 m long and 25 m wide. It is 1.2 m deep at shallow end and 2 m deep at the other end.

Answers

Answer:

the answer is in picture

What symbol is used to show that two figures are congruent ?

Answers

Answer:

~

=

Step-by-step explanation:

= with a tilde above it: it looks like ~
=

Convert 402.12 to a fraction

Answers

Answer:

40212/100

Step-by-step explanation:

To write 402.12 as a fraction you have to write 402.12 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

402.12 = 402.12/1 = 4021.2/10 = 40212/100

And finally we have:

402.12 as a fraction equals 40212/100

answer:

[tex]\frac{10053}{25}[/tex]

first, you would convert 402.12 to a mixed number by placing the numbers to the right of the decimal over 100. and then reduce the fraction.

you would get [tex]402\frac{3}{25}[/tex]

convert the mixed number to an improper fraction:

25×402+3=10053

and lastly, place your new numerator over the original denominator:

[tex]\frac{10053}{25}[/tex]

f(x)= −x^2 + x + 14 Find f(2)

Answers

Answer:

f(2) = 12

Step-by-step explanation:

f(x = −x^2 + x + 14

Plug in:

f(x) = −2^2 + 2 + 14

Solve:

f(x) = −2^2 + 2 + 14

f(x) = -4 + 2 + 14

f(x) = -2 + 14

f(x) = 12

Hope this helped.

Answer:

20

substitute x for 2 in the equation

f(2)= (-2)^2 + 2 + 14

= 4+2+14

= 20

Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.

Disclaimer: A lot of points to be given, Full explanation required. Not only answer.

Answers

[tex]\\ \rm\longmapsto ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

[tex]\\ \rm\longmapsto ^{12}C_3[/tex]

[tex]\\ \rm\longmapsto \dfrac{12!}{3!(12-3)!}[/tex]

[tex]\\ \rm\longmapsto \dfrac{12!}{3!(9!)}[/tex]

[tex]\\ \rm\longmapsto \dfrac{12(11)(10)(9!)}{3!(9!)}[/tex]

cancel 9!

[tex]\\ \rm\longmapsto \dfrac{12(11)(10)}{3!}[/tex]

[tex]\\ \rm\longmapsto \dfrac{1320}{3(2)(1)}[/tex]

[tex]\\ \rm\longmapsto \dfrac{1320}{6}[/tex]

[tex]\\ \rm\longmapsto 220[/tex]

There are 6 rental cars available for 18 riders, each holding either 2 or 4 riders. how many rental cars hold exactly 2 riders?

Answers

Answer:

Cars for 2 riders are 3

Step-by-step explanation:

I. When total riders is 18

  4(3) = 12  => Cars for 4 riders

  2(3) = 6   => Cars for 2 riders

Got more question or something to discuss, leave comment below

Can someone give me the answer.

Answers

Answer:

1 inch

Step-by-step explanation:

Basically cause both b and c tend to form an equidistant triangle which makes them have the same distance

6 times the sum of z and 5

Answers

Answer:

5

(

n

+

1

)

Explanation:

To write Five times the sum of a number and one you first make "a number" into a variable. In this case let's call it  

n

.

Next let's create the sum of a number and one. This would be:  

n

+

1

.

Then to get five times this number we need to multiple this expression by five to get:  

5

(

n

+

1

)

Step-by-step explanation:

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