There are two groups of people, three in each, for painting a wall. The numbers in the next two sentences express the time (in hours) spent on painting. In group A, Alex 2.5, Adam 3.6, and Antimo 4.7. In group Z, Zairo 2.2, Zeno 3.2, and Zubro 4.9. Estimate the total time for group A and for group Z when all three workers in each group work together. Which group can paint the wall faster and why do you think so?
(your answer is two numbers
(two estimates) in one sentence where you will explain your reasoning)​

Answers

Answer 1

Answer:

1. The total time taken for group A to paint the wall together is 1.12 hours

2. The total time taken for group Z to paint the wall together is 1.03 hours

3. group Z can paint the wall faster

Step-by-step explanation:

The time spent on painting are;

Group A

Alex = 2.5 hours

Adam = 3.6 hours

Antimo = 4.7 hours

1. We have for group A

Alex's paint rate = 1 wall in 2.5 hours = 1/2.5 wall/hour

Adam's paint rate = 1 wall in 3.6 hours = 1/3.6 wall/hour

Antimo's paint rate = 1 wall in 4.7 hours = 1/4.7 wall/hour

When the three workers work together, we have;

1/2.5 wall/hour + 1/3.6 wall/hour + 1/4.7 wall/hour = 3767/4230 wall/hour

Therefore, the time for the three workers of group A to paint one wall is given as follows;

[tex]Time \ to \ paint \, one \, wall = \frac{1 \, wall}{\frac{3767}{4230} wall/hour} = 1\tfrac{463}{3767} hours[/tex]

The total time taken for group A to paint the wall together = 1.12 hours

2. The data for group Z is as follows;

Zairo = 2.2 hours

Zeno = 3.2 hours

Zubro = 4.9 hours

We have for group Z

Zairo's paint rate = 1 wall in 2.2 hours = 1/2.2 wall/hour

Zeno's paint rate = 1 wall in 3.2 hours = 1/3.2 wall/hour

Zubro's paint rate = 1 wall in 4.9 hours = 1/4.9 wall/hour

When the three workers work together, we have;

1/2.2 wall/hour + 1/3.2 wall/hour + 1/4.9 wall/hour = 8375/8624 wall/hour

Therefore, the time for the three workers of group Z to paint one wall is given as follows;

[tex]Time \ to \ paint \, one \, wall = \frac{1 \, wall}{\frac{8375}{8624} wall/hour} = 1\tfrac{249}{8375} hours[/tex]

The total time taken for group Z to paint the wall together = 1.03 hours

3. Since the total time for group A to paint the wall which is 1.2 hours is more than the total time for group Z to paint the wall which is 1.03 hours, group Z can paint the wall faster.


Related Questions

Simplify 17 1/2 - (-9 3/8)
ASAP please extra poonts

Answers

Answer:

I believe the answer is 26 7/8

Step-by-step explanation:

Answer:

26 7/8

Step-by-step explanation:

17 1/2 - (-9 3/8)

Get a common denominator of 8

17 1/2*4/4 - -9 3/8

17 4/8  - -9 3/8

We know that subtracting a negative is adding

17 4/8 + 9 3/8

Add the whole numbers

17+9 = 26

Add the fractions

4/8+3/8 = 7/8

26 7/8

PLS HELP !! ILL GIVE BRAINIEST

Answers

Answer: first one is a the second one is b

Step-by-step explanation:

the bottom is the total amount and the top should relate to the bottom

PLEASE HURRY!!IM BEING TIMED!WILL NAME BRAINLIEST!!
The table and graph show that each cracker in a package has 7 calories.
Crackers and Calories
crackers(X) calories(Y)
1 7
2 14
3 21
4 28
Which statement about the graph is true?
A.)The number of crackers is the dependent variable, and the number of calories is the independent variable.
B.)The point (42, 6) is on the line.
C.)The number of crackers are graphed on the y-axis, and calories are graphed on the x-axis.
D.)The two variables are the number of crackers and the number of calories.
(Picture not option!just a graph!)

Answers

Answer:

D.)The two variables are the number of crackers and the number of calories.

Step-by-step explanation:

The number of crackers is the independent variable, and the number of calories is the dependent variable.

The point (6, 42) is on the line

The number of crackers are graphed on the x-axis, and calories are graphed on the y-axis.

Can some help me thank you

Answers

They all share the same numerator

Which of the following is equivalent to the complex number i8?
Choose 1 answer:
mi
1
-1
pl
Stuck? Watch a video or use a hint.
Report a problem

Answers

Answer:

1

Step-by-step explanation:

note that i² = - 1

Thus

[tex]i^{8}[/tex]

= i² × i² × i² × i²

= - 1 × - 1 × - 1 × - 1

= 1 × 1

= 1

The value of complex number is 1. Therefore, the option B is the correct answer.

What is the complex number?

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

The given complex number is i⁸.

We know that, i²=-1

Now, i⁸ can be written as i²×i²×i²×i²

= -1×(-1)×(-1)×(-1)

= 1

Therefore, the option B is the correct answer.

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Simplify. Rewrite the expression in the form y^ny n y, start superscript, n, end superscript. y^{-4}\cdot y^{3}=y −4 ⋅y 3 =y, start superscript, minus, 4, end superscript, dot, y, cubed, equals

Answers

Answer:

[tex]y^{-4}\cdot y^3=y^{-1}[/tex].

Step-by-step explanation:

The given expression is

[tex]y^{-4}\cdot y^3[/tex]

We have to simplify the above expression. in form of [tex]y^n[/tex].

Using property of exponents, we get

[tex]y^{-4}\cdot y^3=y^{-4+3}[/tex]      [tex][\because a^ma^n=a^{m+n}][/tex]

After addition of exponents, we get

[tex]y^{-4}\cdot y^3=y^{-1}[/tex]

Therefore, [tex]y^{-4}\cdot y^3=y^{-1}[/tex].

Hey, I need some help with this:
Give an example of what an inverse operation is and how they are used in solving equations

Answers

An inverse operation is writing the opposite sign to another sign

Inverse operations are an operation that undoes each other. For example, addition and subtraction, multiplication and division, squares and square roots.

For example, we have the equation:

2 + 2 = 4

The inverse of this equation is:

4 - 2 = 2

Best of Luck!

PLS HELP middle school math​

Answers

Answer: 2,4      4,8       8,16     and so on ...

Step-by-step explanation:

Sarkis wants to draw a triangle with sides measuring 4 ft, 10 ft, and 16 ft. Which is true about Sarkis’s plan?

Answers

Answer: Sarkis cannot draw a triangle with these side lengths.

Step-by-step explanation: The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the other side.

The two smallest sides are 4 and 10; their sum is 14.  This is shorter than the longest side, so these will not make a triangle.

Answer:

a

Step-by-step explanation:

Please help, need an answer ASAP

Answers

Answer:

I think your answer is correct

WHat is the value of 599 x (400+37) QUICKKKKKK!!

239,637
261,763
432,599
599,437

Answers

Answer:

b: 261,763

Step-by-step explanation:

do the parenthesis then mutiply the 2 #s

Option B is correct. The value of 599 x (400+37) is 261,763.

Given the values A, B and C. According to the distributive law:

A(B + C) = AB + AC

Applying the rule to the given question:

599 x (400+37)

= 599(400) + 599(37)

= 239,600 + 22,163

Adding up the result

= 261,763

Hene the value of 599 x (400+37) is 261,763.

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find the measure of arc UT Given a.168
b.192
c.84
d.96

Answers

Answer:

is there supossed to be a picture?

Step-by-step explanation:

Answer:

Can you please give us a picture!

Step-by-step explanation:

True or false the focal length F is the directed distance from the vertex (h, k), to the focus of the parabola

Answers

Answer:

true

Step-by-step explanation:

can someone help with this please,, also explain if you can..

Answers

Answer:

story 1

Step-by-step explanation:

because it says 2 higher than -2 so -2+2 is 0

What is the solution of the inequality shown
below?
c+2 < -1

Answers

Answer: c < -3

Step-by-step explanation: To solve for c in this inequality, your goal is the same as it would be you were solving an equation, to get c by itself on one side of the inequality.

Since 2 is being added to c, subtract

2 from both sides of the inequality.

On the left, the +2 and -2 cancel out

and on the right, -1 - 2 is -3.

So we end up with c < -3.

I have also graphed this for you below.

what is 10 1/3 x 1/4? that is, what is ten and one third times one fourth?

Answers

Answer: 31/12, or 2 7/12

Step-by-step explanation: The answer is actually very simple. All you have to do is to simplify 10 1/3 into 31/3, as 10x3+1=31. Then, you have to multiply 31/3 with 1/4. Do a simple fraction multiplication, and you get 31/12, or 2 7/12 if your teacher is asking for a mixed number. Sometimes simplifying is better

Can anyone help with this? First question gets marked brainliest!

Answers

Answer:

5 cm

Step-by-step explanation:

Answer:

5 cm

Step by step explanation

WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!















The cost for a business trip for 3 people is $1,975 per person. The business trip would use 79%
of the company’s travel budget. Find the total amount of money the company has budgeted for
travel. pls show work :)

Answers

Answer:

7500

Step-by-step explanation:

3*1975=5925

5925/.79=$7500

Answer:

5175

Step-by-step explanation:

1975*3=5925

5925/79%=7500 (Take one zero off)

750

5925-750=5175

The Company will pay 5175 in total. But 1725 per each person going.

Which statement is correct using "is equal to" (=)?

Answers

Answer:

B) 6 boxes of 9 pineapples = a total of 54 pineapples.

Step-by-step explanation:

We have to multiply the number of pineapples by the number of boxes the options give.

A is not the correct answer.

[tex]4 * 8 = 36\\32\neq 36[/tex]

B is correct.

[tex]6 * 9 = 54\\54 = 54[/tex]

C is incorrect.

[tex]12 * 8 = 120\\96 \neq 120[/tex]

D is incorrect.

[tex]16 * 5 =90\\80\neq 90[/tex]

Your best option is B.

Brainilest Appreciated.

I bought a box from the post office that has a volume of 24 cubic centimeters,
Which of the following could be the dimensions of my box?
A. 8cm long, 1cm wide, 3cm high
B.10cm long, 4cm wide, 10cm high
C. 2cm long, 2cm wide, 6cm high

Answers

Answer:

A) Is the answer

Step-by-step explanation:

vol.=LxBxH

8x1x3=24

The dimensions that could be the box with a volume of 24 cubic centimeters are:

8cm long, 1cm wide, 3cm high

2cm long, 2cm wide, 6cm high

Options A and C are the correct answer.

We have,

To determine if the given dimensions could represent the box with a volume of 24 cubic centimeters, calculate the volume for each option and check if it matches the given volume.

Let's calculate the volume for each option:

Option A:

Length = 8 cm, Width = 1 cm, Height = 3 cm

Volume = Length × Width × Height

Volume = 8 cm × 1 cm × 3 cm

Volume = 24 cubic cm

Option A could be the dimensions of the box

Option B:

Length = 10 cm, Width = 4 cm, Height = 10 cm

Volume = Length × Width × Height

Volume = 10 cm × 4 cm × 10 cm

Volume = 400 cubic cm

Option B does not have a volume of 24 cubic cm.

Option C:

Length = 2 cm, Width = 2 cm, Height = 6 cm

Volume = Length × Width × Height

Volume = 2 cm × 2 cm × 6 cm

Volume = 24 cubic cm

Option C could be the dimensions of the box.

Therefore,

The dimensions of the box with a volume of 24 cubic centimeters are:

8cm long, 1cm wide, 3cm high

2cm long, 2cm wide, 6cm high

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I NEED HELP!

Line 9 and 10
To calculate your taxable income, subtract the sum of lines 8 and 9 from line 7.

Answers

Can’t see it that far
I can’t see the picture

The point (-1,10) lies in which quadrant

Answers

Answer:

the second quadrant.

Step-by-step explanation:

Answer:

Look up a grid and find out. If you don’t know how to number them search that up too and tell you teacher he or she or they are failing you

Step-by-step explanation:

Ahah lol

What’s the answer??.??”

Answers

Answer:

77

Step-by-step explanation:

the formula is base times height. 7 is the height, add 8 + 3 to get 11 so there's only 1 base. multiplying the 7 and 11 to get 77

The half-life of a certain radioactive element is 35 hours. If there are 904 grams of this element, how much will be left after 70 hours? PLEASE HELP I MIGHT FAIL MATH.

Answers

Answer: 226 grams

===========================================================

Explanation:

The half-life is 35 hours. This means every 35 hours, the amount of the substance is cut in half. If we started with 100 grams, then 35 hours later, we will have 50 grams. Then another 35 hours later we will then have 25 grams, and so on.

In this case, we start with 904 grams and follow this sequence:

904, 452, 226, 113, ...

Each term is cut in half. Going from term to term it takes 35 hours each. The third term 226 is the result of waiting two half-lives, which is 2*35 = 70 hours that have elapsed total.

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

If you want to use a formula, then it would be

[tex]y = A*\left(\frac{1}{2}\right)^{x/H}[/tex]

where,

H = half-life duration (in this case, it is 35)

A = starting amount (which is 904 in this case)

x = amount of time that has elapsed (we will plug in x = 70)

y = final amount after x units of time has elapsed

note that x and H must have the same time unit. Both are in terms of hours in this case.

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

So we will plug A = 904, x = 70, H = 35 into the formula to get...

[tex]y = A*\left(\frac{1}{2}\right)^{x/H}\\\\y = 904*\left(\frac{1}{2}\right)^{70/35}\\\\y = 904*(0.5)^{2}\\\\y = 904*(0.25)\\\\y = 226\\\\[/tex]

We see that x = 70 leads to y = 226. This means after 70 hours, there is 226 grams of the material left.

Can someone pls help

Answers

Answer:

a) At what time does Bethan arrive home from school?

The answer would be C) 15:30

b) What distance does Siobhan travel each day when going to school and back?

The answer would be D) 16km

Step-by-step explanation:

The change in the x-coordinates of any two points on a line in the xy-plane is
the______

A. rise

B. slope

C. angle

D. run

Answers

Answer:

D. run

Step-by-step explanation:

The slope is given by

m = (y2-y1)/ (x2-x1) =  rise/ run

The change in the x coordinates is the run

pretty sure its the run

hi what is the answer for this

Answers

Answer:

16[tex]\pi[/tex]

Step-by-step explanation:

area of a circle is pi x r x r

since it is a quarter

1/4 x pi x 8 x 8 = 16 x pi

Answer:

formula = pi× r²× 1/4

Step-by-step explanation:

since radius = 8

3.14×8×8 = 3.14×16

4

therefore the answer is pi × 16

Use the box method to distribute and simplify (-6x-3)(4x+2).(−6x−3)(4x+2). Drag and drop the terms to the correct locations of the table.

Answers

Answer:

576 x 4 + 1152 x 3 + 864 x 2 + 288 x + 36

Step-by-step explanation:

The simplification of the given equation is [tex]-24x^2 -24x -6[/tex]

Given that,

The equation is (-6x-3)(4x+2).

The calculation is as follows:

[tex]= (-6x - 3) \times (4x + 2)\\\\= -24x^2 -12x - 12x -6\\\\= -24x^2 -24x -6[/tex]

Find out more information about the  equation here:

https://brainly.com/question/2263981?referrer=searchResults

Which choice is equivalent to the quotient shown here for acceptable values of x?

Answers

Answer:

(D)

Step-by-step explanation:

Equivalent expressions are expressions that have equal values

The equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]

The expression is given as:

[tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex]

Represent the expression as a quotient

[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x^2}{3x}}[/tex]

Evaluate the quotient

[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x}{3}}[/tex]

Hence, the equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]

Read more about equivalent expressions at:

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order the set numbers from least to greatest

Answers

Step-by-step explanation:

the answer is the last option

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