Emma and Ed walk into a room containing 30 assembled Tworks and enough pieces to assemble 100 more Tworks. A Twork takes eight minutes to assemble and 10 minutes to disassemble. If Emma starts assembling Tworks as Ed begins disassembling the ones that were already made, and they both continue to work until there are exactly 35 assembled Tworks in the room (and no partially assembled or disassembled Tworks), how many minutes will Emma have worked?
Answer:
Start with 30 assembled, parts for 100 more.
Each minute results in +1/8 and -1/10
So we want
30 + x/8 - x/10 = 35
x/8 - x/10 = 5
5x - 4x = 200
x = 200 minutes
During 200 minutes, 25 are assembled, 20 are disassembled,
resulting in a net gain of 5, added to the original 30.
Bike ride:
Total distance: 40 km
Desired average speed 20 km/hr
Total time will be 2 hours
20 km at 15 km / hr = 4/3 hour taken
Leaves 2/3 hour for 20 km
20 km in 2/3 hour = 30 km/hr
Gas mileage:
Let m = city mileage
m + 3 = highway mileage
136 / (m+3) + 155 / m = 9
9m^2 - 264m - 465 = 0
m = 31 (discarding negative value)
Bricklaying:
Let b = number of bricks in wall
Lisa lays b/9 bricks per hour
Lauren lays b/10 bricks per hour
b = 5 * (b/9 + b/10 - 10)
b = 5b/9 + 5b/10 - 50
90b = 50b + 45b - 4500
b = 900
Lisa does 100 per hour
Lauren does 90 per hour
Together they do 180 per hour.
That's enough work for one Yahoo Question
The tugboat problem, in various forms I have answered before -
it has appeared many times on Yahoo Answers, sometimes with ferry boats,
sometimes with sailboats.
The ant path problem also can be found on the web in many places I am sure.
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gassaway
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4 years ago
three. 80x four. 80x + a million five. 250(80x + a million) 6. 250(80x + a million) + y 7. 250(80x + a million) + 2y eight. 250(80x + a million) + 2y - 250 nine. [250(80x + a million) + 2y - 250] / two = [20000x + 250 + 2y - 250] / two = [20000x + 2y] / two = 10000x + y
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Step-by-step explanation:
Emma will have worked for 200 minutes.
Given, there are 30 assembled T works in the room initially.
A T work takes eight minutes to assemble, so the rate of assembling T work in one minute will be [tex]\frac{1}{8}[/tex].
Similarly, a T work takes 10 minutes to disassemble. so the rate of disassemble of T work will be [tex]\frac{1}{10}[/tex].
Let Emma worked for x min.
According to the question, Emma starts assembling T works as Ed begins disassembling the ones that were already made and they both continue to work until there are exactly 35 assembled T works in the room. So we can write it in equation for form as,
[tex]30+\frac{x}{8} -\frac{x}{10} =35[/tex]
[tex]\frac{x}{8} -\frac{x}{10}=5\\[/tex]
[tex]\frac{5x-4x}{40} =5[/tex]
[tex]x=5\times40[/tex]
[tex]x=200[/tex]
Hence Emma have to work for 200 minutes.
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4t + 1/4=3 first answer will get brainliest
Answer:
t=11/16
Step-by-step explanation:
4t+1/4=3
-1/4 -1/4
4t=2 3/4
t=11/16
Answer:
Step-by-step explanation:
4t+1/4=3
We move all terms to the left:
4t+1/4-(3)=0
determiningTheFunctionDomain
4t-3+1/4=0
We multiply all the terms by the denominator
4t*4+1-3*4=0
We add all the numbers together, and all the variables
4t*4-11=0
Wy multiply elements
16t-11=0
We move all terms containing t to the left, all other terms to the right
16t=11
t=11/16
t=11/16
To round 7,458 to the nearest hundred, which digit do you look at?
Step-by-step explanation:
We have the number 7458
In order to round a number to the nearest hundred, you need to look at the place before that one. In the case of the nearest hundred, you need to look at the tens place.
As there is a 5 in the tens place, you would round this number up
Therefore, the rounded number would be 7500
Karima, Brenda, Xavier, and Jody are looking for ratios which are equivalent to 4:8 in the columns of the multiplication table below. A multiplication table. Karima says that only the numbers in columns 4 and 8 form equivalent ratios for 4:8. Brenda says that only Karima’s ratios and the numbers in columns 2 and 4 form equivalent ratios for 4:8. Xavier says that Karima’s ratios, Brenda’s ratios, and the numbers in columns 1 and 2 form equivalent ratios for 4:8. Jody says that any pair of columns with even numbers forms equivalent ratios for 4:8. Who is correct? Karima Brenda Xavier Jody
Answer:
Karima is correct
Step-by-step explanation:
4:8 is equal to 4:8. You can put them in the calculator and divide them by 2 and you get the same equal answer. :)
Conversion Chart USD CAD 5 4.95 7 6.93 8 7.92 11 10.89
Answer: 900
Step-by-step explanation:
Each multiplied by eachother
Pls help ASAP!!!!!!!!!
Royce is taking violin lessons. The instructor charges an initial fee and an hourly fee. The amount Royce pays based on the length of his lesson is shown in the graph below. What is the instructor’s hourly fee?_____per hour(format $xx.xx). A graph titled Cost of Royce's Violin lesson has length of lesson (hours) on the x-axis and cost (dollars) on the y-axis. A line goes through points (2, 52), (3, 67), (4, 82) and (5, 97).
Answer:
It is not 37
Step-by-step explanation:
I did the test on eg
Please Help ASAP!! Will give BRANLIEST!! f(x)=16 f(4)=3x+5 g(x)=2x^2-4 h(x) = -3x-9
Answer:
it equals 91
Step-by-step explanation:
which is ur answer and yw :)
There are two different music download companies that offer a monthly plan for downloading songs. S-Jams charges $1.29 per song plus $10 monthly fee. C-tunes charges $0.99 per song plus $16 monthly fee. Write an expression for the cost of S-Jams.
Answer:
y=1.29x+10
Step-by-step explanation:
y=mx+b
Answer:1.29x+10
Step-by-step explanation the number of songs is unknown and the answer so this is the smallest possible answer
Please help. Need to understand it. At least give an answer.
Answer:
The asnwer is the first one:
Step-by-step explanation:
You do this
x = 3.242424242424
100x = 324.24242424242424242424
-x
= 329/99
3-24/99
3 8/33
Answer:
A, 3 8/33.
Step-by-step explanation:
x = 3.242424.....
100x = 324.2424.....
If we subtract, we get 99x = 324.2424... - 3.2424.... = 321.
99x = 321
x = 321 / 99 = 107 / 33 = 3 8/33
congruence question- Using the graph shown, select all polygons that are congruent to Polygon Z.
Answer:
A,D and E Z
Step-by-step explanation:
What is the area of the 6 circles all together? Find the diameter of each circle, divide that by 2 to find the radius. Use the area formula to find the area of one circle then multiply it by 6. Answer should have a label in sq.in. *
Answer:
Step-by-step explanation:
96 in
96 inches
Step-by-step explanation:
Determine the whole if the part is 126 and the percent is 90%
Answer:
Hey there!
We can arrange this to say, "90% of the whole is 126."
Thus, we can write an equation, where w is used as a variable to represent the whole.
0.90w=126
Divide by 0.90
w=140
The whole is 140.
Let me know if this helps :)
Answer:
A quarter of a part
Step-by-step explanation:
7(5+3x)–6(x+5)=0 heeeeelllllp
Answer: x = -1/3
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The area of a square is calculated by squaring the length of one side of the square. Which graph represents this situation?
Simplify 3x - 4 - 5x = 6 + 4x + 2
Answer:
x=(−2)
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 4x from both sides.
Step 3: Add 4 to both sides.
Step 4: Divide both sides by -6.
5x + 3 + x +4= 55. Solve for x. Please show your work. (This is Algebra, by the way.)
Answer:
x=8
Step-by-step explanation:
We first simplify both sides of the equation so it turns out like this:
(5x+x) + (3+4) =55
6x+7=55
Then we subtract 7 from both sides:
6x+7-7=55-7
6x=48
From there we divide both sides by 6:
6x/6=48/6
x=8
Answer:es 8
S tep-by-step explanation:
5x+ 3 + x + 4 =55
6x= 55-7
6x= 48
x= 8
6 can you help its due in a couple of hours
Answer:
4. 3.75
5. They're always even
6. 6/8
7. 2666
8. 673,400
9. Tell me the complete problem so I can solve it
Step-by-step explanation:
There are 8 circles and 2 squares. What is the simplest ratio of squares to circles?
Answer:
1 square for every 4 circles
1:4
1/4
Step-by-step explanation:
To get it to the simplest ratio all you have to do is put the given numbers (8,2) into fraction form based on the order given in the question. The order given was "squares to circles". This makes squares the numerator and circles the denominator. After you set it into a fraction just reduce the fraction to its simplest form.
Simplify the complex fraction. 1/2 5/8 can someone pls help me i need the answer ASAP
Answer:
4/5
Step-by-step explanation:
1/2
5/8
1/2 x 8/5=8/10=4/5
As my 7th grade math teacher said, Keep,Change,Flip.
Keep the first factor, change the operation, and flip the other factor
Serena was planning out her model railroad setup, and wants to be able to boast about it on her social media. She wants the centerpiece to be a scaled down version of Union Station, but wants to make sure she has enough space in her grandfather's basement. Her railroad is in N Scale, 1:160 (one foot on the model is 160 feet in real life). If Denver's Union Station is 495 feet long, how many inches long will the model be as a mixed number?
Answer:4
Step-by-step explanation:
Answer:
idk sorry
Step-by-step explanation:
You used 1/8 of a bag of dirt to fill 1/12 of your garden box. How many bags of dirt are needed to fill one garden
Answer:
1 1/2 bags
Step-by-step explanation:
given 1/8 of a bag will fill up 1/12 of a garden box, i.e.
1/8 bag ------> fills 1/12 box (rearrange this)
1/12 box ----> requires 1/8 bag
to find how many bags it takes to fill 1 box, we simply multiply both sides of this equation by 12 to get the unit rate of fill
( 1/12 ) x 12 box -----> requires (1/8) x 12 bags
1 box ------> requires 12/8 = 3/2 = 1 1/2 bags (answer)
What's 43.396 divided by 57.1? Still confused for this one :(
Answer:
0.76
Step-by-step explanation:
Because this question is requiring you to divide a smaller number by a greater one you are going to have decimals or fractions.
The value of the division of the number 43.396 by 57.1 is 0.76.
What is division?A procedure of dividing anything into equal halves is called division. It is one of the four fundamental operations in math. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given numbers are 43.396 and 57.1. The value of the division will be calculated as below:-
Division = 43.396 / 57.1
Division = 0.76
Therefore, the value of the division of the number 43.396 by 57.1 is 0.76.
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BRAINLIEST which statement is correct 4(9)÷6=3+2-1+2 4(9)÷6=4+2-1+2 4(9)÷6=3-2+1-2 4(9)÷6=3÷2+1-2
Answer:
The correct answer is 4(9)/6=3+2-1+2
Step-by-step explanation:
4x9 is 36..divided by 6 =6. then 3+2=5-1 is 4+2 is 6, so both sides are equal
What is the value of the expression 2x²- 3x + 7 when x = 3? *
Jacinta says that the product of a rational number and an irrational number is always irrational. Explain her error.
Jacinta says that the product of a rational number and an irrational number is always irrational her claim is wrong.
What is a rational number?A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.
Irrational numbers are all real numbers that are not rational numbers in mathematics. Irrational numbers, on the other hand, cannot be stated as the ratio of two integers. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
Given that Jacinta says that the product of a rational number and an irrational number is always irrational.
Her statement is incorrect because if 0 a rational number is multiplied with the π which is irrational then the result will be 0 which is rational.
Therefore, Jacinta's claim is wrong.
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Please help. Need help
Answer:
C
Step-by-step explanation:
To do this, let's let the decimal equal n. Thus:
[tex]2.\bar1=n[/tex]
There is only one digit repeating, so let's multiply both sides of the equation by 10:
[tex]21.\bar1=10n[/tex]
Now, subtract n from both sides:
[tex]21.\bar1-n=10n-n[/tex]
On the right, it becomes 9n. However, the left, however, expand, the decimal. In other words:
[tex]21.1111...-2.1111...=9n[/tex]
All of the repeating 1s will cancel out. Thus:
[tex]21-2=9n[/tex]
Subtract:
[tex]19=9n[/tex]
Divide both sides by 9:
[tex]n=\frac{19}{9}[/tex]
And since we set the decimal equal to n originally...
[tex]2.\bar1=\frac{19}{9}[/tex]
And we're done!
Notes:
This is the algebraic way to write a repeating decimal into a fraction. You can, of course, always just use a calculator and guess and check.
It's A. 21/10
What I did to get this. Is i wrote down 2.1 as a fraction: 2.1/1 then multiplied 10 to both the numerator and the denominator. (2.1 x 10)/(1 x 10)=21/10.
I hope this helps. I'm not sure if the "repeating" matters that much to the point of a different answer...
Eddie had a favorable simple annual interest rate on a used car loan, but he can’t remember what it was. His paperwork shows that he originally borrowed S4000 and paid a total of $1280 in interest on the 4-year loan. What was Eddie’s annual interest rate?
Answer:
8%
Step-by-step explanation:
Answer: 8%
i googled it so yea
what is the greatest common factor of 14 and 20
Answer:isn’t
Step-by-step explanation:it 2
The greatest common factor of 14 and 20 is 2 .
Given,
HCF of 14 and 20
Now,
To calculate the HCF of 14 and 20,
Firstly obtain the factors of 14 and 20
14 = 2 × 7
20 = 2 × 2× 5
Now ,
The greatest common factor of 14 and 20 will be 2 .
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PLEASE HELP ME ITS ABOUT UNIT RATES CHARTS (MATH)
Answer:
.5 = 3.5 1 = 7 3 = 21 4 = 28
Step-by-step explanation:
Ike is five years older than his brother. If Ike's age is represented by x, which of the following would represent his brother's age? A) x + 5 B) 5x C) 5 - x D) x - 5
Answer:
The answer is D) x-5
Step-by-step explanation:
Because if Ike is 5 years older than his brother and Ike's age is represented by the x and his brother the 5, then it would be Ike minus his brothers age.