2 Dylan is part of a volunteer crew constructing houses for low-income families. Dylan is experienced at installing tile floors. He is training a new volunteer, George, to complete tiling projects. A new job involves placing 100 tiles. Dylan knows from experience that it would take him 2 hours to complete the job if he were working alone. Dylan estimates that it would take George 4 hours to complete the job if George were working alone. If Dylan and George work together, how long will it take to complete the job?​

Answers

Answer 1

Answer:

For the tiling Job; it takes the following for installing 100 tiles:

Dylan =2 hours

George = 4 hours

if they work together for the job, for 1 hour,

it would be the following no of tiles to be fixed:

Dylan + George =  total tiles

100/2  +  100/4  = 50 + 25 =  75 tiles

If it takes George 1hr to fix 50 tiles,

For 30 minutes, Dylan will fix 25 tiles

Therefore Total tiles fixed = Dylan(1hr work) + George(1hr work) + Dylan (30mins work)

= 50 tiles + 25 tiles + 25 tiles = 100 tiles

Therefore, it will take approximately 1 hour for them to install 75 tiles in the low-income house for the families or

1.30 hours (1 hr, 30 minutes) to fix 100 tiles for the same low income families.

Step-by-step explanation:


Related Questions

Please answer this question!!

Answers

Answer:

12.25

Step-by-step explanation:

It is easy to notice that:

QA=QB=QC

As per triangle congruence theorem (two congruent sides and a right angle)

Since:

QB = x + 9 and QC = 5x - 4

We have

x + 9 = 5x - 45x - x = 9 + 44x = 13x = 13/4x = 3.25

QA = QB = QC = 3.25 + 9 = 12.25

Question 10 of 10
Rewrite the following linear equation in slope-intercept form. Write your answer with no spaces. y+2=4(x-3).​

Answers

Answer:

y=4x−14

Step-by-step explanation:

solve for y.

y+2=4(x−3)

distribute 4

y+2=4x-12

subtract 2 from both sides

y+2+−2=4x−12+−2

y=4x−14

Answer:

y=4x−14

Find the slope of the line that passes through the given points.(-4, 7) and (-2, 8)

Answers

Answer:

[tex]m=\frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-4, 7)

Point (-2, 8)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{8-7}{-2+4}[/tex]Subtract/Add:               [tex]m=\frac{1}{2}[/tex]

Christina scored 2,065 points by collecting 7 coins. After collecting a total of 8 coins, how many points will Christina have scored in all?

Answers

Answer:

2065 ÷ 7 = 295

295 × 8 = 2360

Christina will have scored 2,360 points.

I need help please sorry it’s like that a camera and a screen don’t work good together

Answers

Answer:

The value of x = 20.05

Step-by-step explanation:

As we know that the sum of the angles in a triangle is 180°.

From the diagram, we can say that the sum of the angles A, B, and C must be 180°.

so the equation of the sum of the angles of a triangle will be:

[tex]A+B+C=180^{\circ }[/tex]

As

[tex]A=43\frac{1}{4}^{\circ }[/tex]

[tex]B=5x^{\circ }[/tex]

[tex]C^{\circ }=36.5^{\circ }[/tex]

Substituting the values in the equation of the sum of the angles of a triangle to find the value of x.

[tex]A+B+C=180^{\circ }[/tex]

[tex]43\frac{1}{4}+5x+36.5=180[/tex]

[tex]\frac{173}{4}+5x+36.5=180[/tex]             ∵ [tex]43\frac{1}{4}=\frac{173}{4}[/tex]

Subtract [tex]\frac{173}{4}+36.5[/tex] from both sides

[tex]\frac{173}{4}+5x+36.5-\left(\frac{173}{4}+36.5\right)=180-\left(\frac{173}{4}+36.5\right)[/tex]

[tex]5x=100.25[/tex]

[tex]\frac{5x}{5}=\frac{100.25}{5}[/tex]

[tex]x=20.05[/tex]

Therefore, the value of x = 20.05

VERIFICATION:

[tex]A+B+C=180^{\circ }[/tex]

[tex]43\frac{1}{4}+5x+36.5=180[/tex]

[tex]43\frac{1}{4}+5\left(20.05\right)+36.5=180[/tex]

[tex]180=180[/tex]

What's greater -5/7 or -2/7

Answers

I think -2/7.

-2/7 is closer to 0 which is neither positive nor negative.

-5/7 is closer to a whole negative number.

Find the reciprocal of 4/11​

Answers

Answer:11/4

Step-by-step explanation: u have to just put it backwards

Keith receives $25000 salary for working as a account. If keith spends 40% of his salary on expenses each year, then how much money does Keith have to spend on expenses? Round your answer to the nearest whole number if necessary.

Answers

Answer:

$25000 * 40% = 100.000

Step-by-step explanation:


10,000 on expenses. 25000X.40=10,000

Solve the following system of equations.
2x+y = 3
x=2y – 1
x=
y=

Answers

Answer:

y=1    x=1

Step-by-step explanation:

2x + y = 3

x = 2y - 1  

.

It looks like I could substitute the x=2y-1. Into 2x+y=3

2(2y-1)+y=3

4y-2+y=3

5y=5

y=1

x=2(1)-1

x=1

Answer:

Y =1

X =1

Good luck!!

Does the ratio 15/12 and 5/4 form a proportion?

The answer is yes

Answers

Answer:

answer is c, I know because I took the test on edginuity

Which value is a solution of the inequalityx∕5 + 2 ≤ 6?
A) 
x = 49

B) 
x = 15

C) 
x = 37

D) 
x = 21

Answers

Answer:

B

Step-by-step explanation

the answer comes to [tex]x\leq 20[/tex] and 15 is the only answer below 20

Answer:

B. x = 15

Step-by-step explanation:

Firstly we simplify the inequality, so we have x on the left side, and every number on the right side[tex]\frac{x}{5}+2\leq 6\\ \frac{x}{5}+2-(2)\leq 6-(2)[/tex] so we take away 2 on both sides[tex]\frac{x}{5}\leq 4[/tex] now this is the same as [tex]\frac{1}{5}*x\leq 4[/tex] Now we multiply by 5 on both sides [tex]5*\frac{1}{5}*x\leq 5*4[/tex] which is [tex]\frac{5}{5}*x \leq 20[/tex] which is simply [tex]x \leq 20[/tex] since 5 divide by 5 is 1 and 1 times x is xSo the inequality [tex]x \leq 20[/tex] means "every number for x that is less than or equal to 20"Now from the list, the only number that fits is 15. So that's our answer

Major League Baseball fans eat about 21 million hot dogs every season. There are a total of 2,430 games each season. About how many hot dogs are eaten at each game?

Answers

Answer:

About 8642

Step-by-step explanation:

21 mil/2430= 8641.97530864

Ninety-nine is what percent of 150?

Answers

Answer:

66

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

George purchases a sack of apples, a bunch of bananas, a cantaloupe, and a carton of dates for $20. If a carton of dates costs twice as much as a sack of apples and the price of a cantaloupe is equal to the price of a sack of apples minus a bunch of bananas, how much would it cost George to purchase a bunch of bananas and a cantaloupe?

Answers

9514 1404 393

Answer:

  $5

Step-by-step explanation:

Let the variables A, B, C, D represent a sack of apples, a bunch of bananas, a cantaloupe, and a carton of dates, respectively. Then the problem statement gives rise to 3 equations:

  A +B +C +D = 20

  D = 2A

  C = A -B

Substituting the last two equations into the first gives ...

  A +B + (A -B) +2A = 20

  4A = 20 . . . simplify

  A = 5 . . . . . divide by 4

Substituting this into the last equation, we have ...

  C = 5 -B

  B + C = 5 . . . . add B

The cost to purchase a bunch of bananas and a cantaloupe is $5.

A triangle has a base of 4 inches and a height of 12 inches. What is the area of the triangle?

Answers

Answer:

48

Step-by-step explanation:

u just multiply 12x4=48

Answer:

The area of the triangle is 24.

What is the perimeter of a rectangle whose short sides are4 and long sides are3?

Answers

Answer:

Permimeter=14

Step-by-step explanation:

4+4=8. 3+3=6. 8+6=14. Perimeter equals 14.

A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these pens have to maximize the enclosed area?

Answers

Answer:

The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft

Step-by-step explanation:

we have the perimeter as 1000

So the sum of the lengths will be

1000/2 = 500

The dimensions that will maximize these pens will be such that they will have equal values

Mathematically, that will be 500/2 = 250 by 250

George the Pigeon travels the same distance of 72 miles
in 4 hours against the wind as he does traveling 3 hours
with the wind in the local skies. What is the speed of
George the Pigeon in still air and the speed of the wind?

Answers

Answer:

The speed of George the Pigeon in still air = 21 miles/hr

The speed of air = 3 miles/hr

Step-by-step explanation:

Let the speed of George the Pigeon in still air = [tex]u[/tex] miles/hr

Let the speed of air = [tex]v[/tex] miles/hr

Distance traveled = 72 miles

Relative speed against the wind = [tex](u-v)[/tex] miles/hr

Time taken against the wind = 4 hours

Relative speed with the wind = [tex](u+v)[/tex] miles/hr

Time taken against the wind = 3 hours

Using the formula:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

[tex]u-v=\dfrac{72}{4}\\\Rightarrow u-v=18 ..... (1)[/tex]

[tex]u+v=\dfrac{72}{3}\\\Rightarrow u+v=24 ..... (2)[/tex]

Adding (1) and (2):

[tex]2u=42\\\Rightarrow u = 21\ miles/hr[/tex]

By equation (1):

[tex]v = 21-18\\\Rightarrow v = 3\ miles/hr[/tex]

Therefore, the answer is:

The speed of George the Pigeon in still air = 21 miles/hr

The speed of air = 3 miles/hr

Robert bought some gifts that were each worth $25.90 at a store. He also bought one treat for himself that cost $4.00.
If Robert bought three gifts, which equation shows how to calculate the total amount of money he spent at the store?
A.3 x 25.90 +4= 89.70
B. O 3 x 25.90 +4= 81.70
C.3 x (25.90 + 4) = 89. 70
D.O3 (25.90 + 4) = 81. 70

Answers

A bc he bought three of the $25.90 then he bought only one for himself (the $4)

Answer:

A

Step-by-step explanation:

Since Roberto bought 3 gifts, which are each $25.90, that would mean it would be 3×25.90. Plus, he bought himself a treat would would be a +4.

Help me solve for the right one ?
I need help

Answers

Answer:

it should be B correct me if I'm rong

whats 10000x1? Im an ideot,

Answers

Answer:

10000

Step-by-step explanation:

LOL its ok :)

Answer:

10000

Step-by-step explanation:

When we multiply two numbers, the answer we get is called 'product'. The number of objects in each group is called 'multiplicand,' and the number of such equal groups is called 'multiplier'. In math, to multiply means to add equal groups. ... The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product. The four basic mathematical operations--addition, subtraction, multiplication, and division--have application even in the most advanced mathematical theories. Thus, mastering them is one of the keys to progressing in an understanding of math and, specifically, of algebra.

:D

Brainliest?

Y=-x-6 with slope graph Please help me answer this

Answers

Answer: the slope of the graph is -1

Step-by-step explanation: because x has a coefficient of negative 1 but if you wanted to graph this line, you have to be careful since you go down 1 unit and right 1unit. The line is descending since it has a negative slope so technically the slope is -1/1 but we can just say it’s -1

A) write an explicit formula for the sequence 12, 16, 20, 24 B) Find the 11th term of the sequence *

Answers

Answer:

[tex]T_n = 8+ 4n[/tex]

[tex]T_{11} = 52[/tex]

Step-by-step explanation:

Given

[tex]Sequence: 12, 16, 20, 24[/tex]

Solving (a): Write a formula

The above sequence shows an arithmetic progression

Hence:

The formula can be calculated using:

[tex]T_n = a + (n - 1) d[/tex]

In this case:

[tex]a = First\ Term = 12[/tex]

Difference (d) is difference of 2 successive terms

So:

[tex]d = 16 - 12 = 20 - 16 = 24 - 20[/tex]

[tex]d = 4[/tex]

Substitute 4 for d and 12 for a in [tex]T_n = a + (n - 1) d[/tex]

[tex]T_n = 12 + (n - 1) * 4[/tex]

Open Bracket

[tex]T_n = 12 + 4n - 4[/tex]

Collect Like Terms

[tex]T_n = 12 - 4+ 4n[/tex]

[tex]T_n = 8+ 4n[/tex]

Hence, the explicit formula is: [tex]T_n = 8+ 4n[/tex]

Solving (b): 11th term

This implies that n = 11

Substitute 11 for n in: [tex]T_n = 8+ 4n[/tex]

[tex]T_{11} = 8+ 4 * 11[/tex]

[tex]T_{11} = 8+ 44[/tex]

[tex]T_{11} = 52[/tex]

Answer:

A) The explicit formula for the sequence is [tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex].

B) The 11th term of the sequence is 62.

Step-by-step explanation:

A) Let [tex]f(0) = 12[/tex], we notice that sequence observes an arithmetic progression, in which there is a difference of 4 between two consecutive elements. The formula for arithmetic progression is:

[tex]f(n) = f(0) +r\cdot n[/tex] (1)

Where:

[tex]f(0)[/tex] - First value of the sequence, dimensionless.

[tex]r[/tex] - Arithmetic increase rate, dimensionless.

[tex]n[/tex] - Term of the value in the sequence, dimensionless.

If we know that [tex]f(0) = 12[/tex] and [tex]r = 4[/tex], then the explicit formula for the sequence is:

[tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex]

B) If we know that [tex]f(n) = 12+4\cdot n[/tex] and [tex]n = 10[/tex], the 11th term of the sequence is:

[tex]f(10) = 12+4\cdot (10)[/tex]

[tex]f(10) = 62[/tex]

The 11th term of the sequence is 62.

PLEASE HELP ME OUT FASTTTTT

Answers

Answer:

1 more slice

Step-by-step explanation:

1/2 of the pizza would be 4 since (8÷2=4)

So since we need 4 pizza slices to be gone in order to make 1/2 of the pizza...

and since we know that there are three slices missing....

the equation for this is 8-3=5 and we can't have 5 we need 4 so we need 1 more slice to be eaten

I need help with this one

Answers

Answer:

22%of 2346 is 516.12 which would be 516 persons

Solve for X. Send help please!!

Answers

Answer:

x=118

Step-by-step explanation:

180-62=118

hope it helps !

X=118
Straight Line Contains 180°
Subtract 62 from 180 leaves you with 118
Therefore X=118

What is 5 and 3/4 times 7 in fractions

Answers

Answer:[tex]\frac{161}{4}[/tex]

Step-by-step explanation:

the ratio of potatoes to turnips is 1:1.if there are 473 potatoes how many turnips are there.

Answers

Answer:

473

Step-by-step explanation:

1:1

473:x

Cross Multiply

1x=473

Divide both sides by 1

x=473

For the function f defined by f(x) = x - 2, what is the value of f(7)? А 2 B 5 C 7 D 9​

Answers

Answer:

f(7) =5

Step-by-step explanation:

f(x) = x - 2

f(7) means let x = 7

f(7) = 7-2

f(7) =5

Answer:

B. 5

Step-by-step explanation:

f(x) = x - 2 when x = 7

f(7) = 7 - 2

f(7) = 5

Best of Luck!

Luke was given a gift card for a coffee shop each morning Luke uses the card to buy one cup of coffee the original amount of money on the gift card was $30 and after buying 6 cups of coffee the card had $12 remaining balance write and equation for a in terms of X representing the amount of money remaining on the card after buying X cups of coffee​

Answers

Answer:

30-6x=12

Step-by-step explanation:

30 (was the original)-6(the amount of coffee)x(the price of each coffee)=12(the remaining amount after those 6 cups)

hope this helps!!

Other Questions
Which of the following was NOT one the ideals of Thomas Jefferson? aJefferson wanted to expand the powers of the federal government . bJefferson supported state militias rather than having a standing army at the national level. cJefferson supported western expansion. dJefferson want to limit the powers of the federal government and vest more power at the state level. Which of the following body areas is distal to the carpal area?A. OlecranalB. PalmarC. AntebrachialD. Antecubital help please i keep getting it wrong and its difficult Completa el espacio en blanco con la forma correcta del verbo "ir." Usa el tiempo imperfecto.T al parque todas las noches cuando eras nio.ibasibafuisteO vas what's the midpoint of (-10,3) and (0,9) 10 (2+3)-83 whats the answer ? A student is pulling a large recycling bin. A teacher fills it with old papers to recycle. What property of the bin changes, and in what way? What does the student have to do to keep the bin moving at the same speed? HELPPPPPPP ASAPPPPP PLSSSSS true or false Buddism is the main religion of India similarities between frye standard and daubert standard PLEASE HELP I WANNA PLAY ON MY PS5 BUT I NEED TO DO THIS PLS HELPKevin is reading about flowers for his science fair project.A close up of a hibiscus flower. Hibiscus are beautiful flowers with colorful petals that are popular in gardens and used to attract butterflies. In many countries, the petals are boiled to make a tangy and flavorful tea. The hibiscus seeds are contained in tall, dry capsules found in the center of the flower. They are released when the flower is fully grown and the capsules split open.Which new idea can Kevin form after reading the text and looking at the photograph?This hibiscus flower will not be used to make tea.The seeds of this hibiscus have not been released yet.Hibiscus flowers are a problem for people with allergies.This hibiscus flower will only grow in a cold climate.PLS Find the equation of the line that has a slope of 1/2 and passes through the point (-4,6).A. x - 2y = -16B. x + y = -16C. 2x - y = 8D. x + 2y = -8 I need help with these in order!!! HELP Write an equation in point-slope form and slope-intercept form passes through (6,2), slope= () During 2019, Lopez Corporation disposed of Pine Division, a major component of its business. Lopez realized a gain of $2,400,000, net of taxes, on the sale of Pine's assets. Pine's operating losses, net of taxes, were $2,800,000 in 2019. What is the gain or loss from discontinued operations reported net of taxes In the past month, Deandre rented 4 video games and 6 DVDs. The rental price for each video game was $2.70. The rental price for each DVD was $3.10. What is the total amount that Deandre spent on video game and DVD rentals in the past month? The S.T.O.P strategy is useful for situations involving negative peer pressureA: TrueB: False How does the conflict contribute to the development of the story? Now, before its too late, panted Sarah. Now, Father! Yes, Daughter, the time is come, Toby answered. Go, as you know how to go! He raised his arms, holding them out to her. Kum . . . yali, kum buba tambe, and more magic words, said so quickly, they sounded like whispers and sighs. The young woman lifted one foot on the air. Then the other. She flew clumsily at first, with the child now held tightly in her arms. Then she felt the magic, the African mystery. Say she rose just as free as a bird. As light as a feather. The Overseer rode after her, hollering. Sarah flew over the fences. She flew over the woods. Tall trees could not snag her. Nor could the Overseer. She flew like an eagle now, until she was gone from sight. No one dared speak about it. Couldnt believe it. But it was, because they that was there saw that it was.Say the next day was dead hot in the fields. A young man slave fell from the heat. The Driver come and whipped him. Toby come over and spoke words to the fallen one. The words of ancient Africa once heard are never remembered completely. The young man forgot them as soon as he heard them. They went way inside him. He got up and rolled over on the air. He rode it awhile. And he flew away. Influenza (the flu) is caused by a virus that attacks the respiratory system. Which type of gene is most likely to be widely expressed in the body of someone who contracts the influenza virus?the gene that controls the production of stem cellsthe gene that controls the production of skin cellsthe gene that controls the production of red blood cellsthe gene that controls the production of white blood cells Are the small sized gears only force, speed and distance, only speed