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Related Questions
Not long after he begins to study algebra he will likely meet with the "tank" problems, the "labor" problems and many other puzzle problems. He finds these problems carefully phrased in the language of practical mathematics. However, a study of the original problems and the fanciful way in which they were stated will reveal the fact that they were originally intended mostly for puzzles. The present-day student of algebra would doubtless work as industriously over the so-called practical problems if he were told they were puzzle problems that his predecessors had worked on for the past 1600 years.
The problems given below are selected from a collection made by Metrodorus about 310 A. D. found in The Greek Anthology. It is not known how much farther back they date. It will not be difficult for the reader to trace many of the problems found in the present-day algebras back to their original source. He may judge for himself as to whether the modern text-book writer has improved the problems by leaving off the little fanciful touches of rhetoric, found in the original.
The original problems were solved by rhetorical algebra as our symbols, +, -, ×, ÷, etc., were introduced many centuries later, about 1540.
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Answer:
wow thats some good information there!
Step-by-step explanation:
Yul has lunch at a restaurant. If his bill was $14.50 and Yul wants to leave a 20% tip, what is the amount he should leave for the tip? What is the total amount for his meal plus tip?
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Answer:
Yul has lunch at a restaurant. If his bill was $14.50 and Yul wants to leave a 20% tip, what is the amount he should leave for the tip?
Yul should leave 20% tip of
14.50 * 0.20 = 2.9
Claire wants to build a patio outside her café. The rectangular space outside of Claire's café is three times as long as it is wide. The area of the space is 48 m2. Claire
would like to build a patio with dimensions 3.5 m by 12.5 m in this space. Will it fit? Explain.
pls help
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Answer:
Step-by-step explanation:
It will fit in the space but it won't cover the entire space. the area is 48m2, but the patio in question will cover 43.75 of the 48m2. Also, it stated that the rectangular space is 3 times as long, and the patio is 3.57x as long as the width. So yes, it will fit, but it will not be a picture perfect fit, there will be some obscenities.
Step-by-step explanation:
Let length of space be lm and width be wm.
l = 3w --(1)
lw = 48 --(2)
sub (1) into (2):
3w(w) = 48
3w^2 = 48
w^2 = 16
w = ± 4 (rej -4 since w > 0)
when w = 4, l = 3(4) = 12
Since dimensions of the patio is 3.5m by 12.5m, and the dimensions of the space is 4m by 12m it does not fit
This is a topic known as simultaneous equations. If you would like to find out more / know when and how to use it, you can check out my Instagram page (learntionary)
please help meeeeeeeeee
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Answer:
FRACTION DECIMAL PERCENT
3/100 0.03 3%
3/2 1.5 150%
13/20 0.65 65%
2/3 0.6667 66.67%
The ratio of the sides of two similar rectangles is 3:5. The larger rectangle has an area of 36 sq. cm. What is the area of the smaller rectangle?
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Answer:
21.6 sq cm
Step-by-step explanation:
3:5
x:36
cross-multiply because they are in proportion
x*5=3*36
divide both sides by 5
x= 3*36/5=21.6
please answer fast
but i need a correct
answer
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Answer:
Step-by-step explanation:
11/20ths
A logo is made of a square and a semicircle. The square has side lengths of 12 inches. One side of the square is also the diameter of the semicircle. What is the approximate total area of the logo?
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Answer:
The square has side lengths of 22 inches. One side of the square is also the diameter of the semicircle
Step-by-step explanation:
Hopefully its right!
Jose can use the rule m(x)=10+3x to find m(x) , the amount of money he will have after a week of doing x additional hours of chores. Evaluate m(20), What does this mean?
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Answer:
70
Step-by-step explanation:
Given:
m(x) = 10 + 3x
where,
m(x) = the amount of money he will have after a week of doing x additional hours of chores
x = additional hours of chores
Evaluate m(20), What does this mean?
m(x) = 10 + 3x
m(20) = 10 + 3(20)
= 10 + 60
= 70
m(20) = 70
m(20) means additional hours of chores is 20
How many minutes of calling time do the plans cost the same amount ?
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.15*200 = 30+45= Plan A= $75
.25*200= 50+25= Plan B= $75
Answer is D
What is 1 5/9 as a percent?
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Answer:
1 and 55%
Step-by-step explanation:
Five divided by nine.
PLEASE HELP! ILL GIVE YOU BRAINLIEST!
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Answer:
A.
Step-by-step explanation:
It is the final step when doing math like that.
Kyle plans to make 15 hamburger patties, each weighing 14 pound, for a cookout. At the store, hamburger meat is priced at $3.66 per pound. If Kyle orders the exact amount of meat he needs, how much will it cost, rounded to the nearest cent?
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Answer:
Total cost= $768.66
Step-by-step explanation:
Giving the following information:
Production= 15 units
Standard quantity= 14 pounds per unit
Standard cost= $3.66 per pound
First, we need to calculate the total pounds required to make the hamburgers:
Total pounds= 14*15
Total pounds= 210 pounds
Now, the total cost:
Total cost= 210*3.66
Total cost= $768.66
Find the area of the trapezoid.
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2h. According to the trapezoid area formula, the area of a trapezoid is equal to half the product of the height and the sum of the two bases. Area = ½ x (Sum of parallel sides) x (perpendicular distance between the parallel sides). Where, h is the height and b1 and b2 are the parallel sides of the trapezoid. Area= 13.5+9.5=23/2= 11.5x5=57.5cm squared.
Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?
Select each correct answer.
(−3, 3)
(7, 0)
(−1, −6)
(11, 3)
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I’m pretty sure if people can explain then there is your explanation but I don’t know how to explain CORRECTLY. But the ANSWER IS (7,0)
Explanation: 3(7)-4(0)=21
21-0=21 ✅
Explanation: 3(11)-4(3)=21
33-12=21 ✅
Both of these are true!
number 10?? please help.
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Answer:
∠GFM= 124°
Step-by-step explanation:
∠GFH= 180° -90° -(5x +9)° (∠ sum of △FGH)
∠GFH= 90° -5x° -9°
∠GFH= (81 -5x)°
∠GFM +∠GFH= 180° (adj. ∠s on a str. line)
25x -1 +81 -5x= 180
20x +80= 180 (simplify)
20x= 180 -80 (-80 on both sides)
20x= 100
x= 100 ÷20 (÷20 on both sides)
x= 5
∴∠GFM
= 25x -1
= 25(5) -1
= 124°
Graph the function . What is the missing x-coordinate for the point , to the nearest tenth?
6.1
7.3
8.4
9.5
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Answer:
Your answer would be D. 9.5.
Step-by-step explanation:
Edge 2020
Answer:
The Answer is 9.5
Step-by-step explanation:
Edge 2021
So I have 4 math problems, whether you choose to answer them or not is your choice. Also thank you if you do answer them. :)
But here they are.
#1 B^-2, solve for b=-3.
#2 (2t)^-4, solve for t=2.
#3 (m - 4)^-5, solve for m=6.
#4 2x^0y^-3, solve for x=7, and solve for y=-4.
The ^ means that there is a square root for that letter or number.
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Answer:
1) 9
2) 256
3) -32
4) -2744
Step-by-step explanation:
Which is greater than 4: (a) 5 or (b) 5?
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Answer:
I think C. is correct
Step-by-step explanation:
Just trust me, I'm smart ;)
Answer:
they both are the same number
Step-by-step explanation:
Marco went to the cafeteria to buy chicken sandwiches, C, worth $2.00, and hamburgers, h, worth $2.50.
He bought a total of 9 items and spent a total of $20.50. How many hamburgers and chicken sandwiches
did Marco buy?
HELP
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Answer:
5 Hamburgers = $12.50 4 Chicken sandwiches $8.00( $12.50 + $8.00 = $20.50
Step-by-step explanation:
Answer:
Marco bought 5 hamburgers and 4 chicken sandwiches.
Step-by-step explanation:
Set up a system of equations:
2c + 2.5h = 20.5
c + h = 9
Solve by elimination by multiplying the bottom equation by -2:
2c + 2.5h = 20.5
-2c - 2h = -18
Add the equations together and solve for h:
0.5h = 2.5
h = 5
So, he bought 5 hamburgers. Plug in 5 as h into the second equation to solve for c:
c + h = 9
c + 5 = 9
c = 4
So, Marco bought 5 hamburgers and 4 chicken sandwiches.
-4(-5+x)>56
??? whats the answer
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Answer:
x < -9
Step-by-step explanation:
-4(-5+x)>56 (given)
20 - 4x >56 (distributive property of inequality)
-4x > 36 (subtraction property of inequality)
x < -9 (division property of inequality)
The sign flips since it was divided by a negative number.
Which property was used to simplify the expression?
4(b+2) = 4b+8
distributive property
commutative property
associative property
inverse property
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Answer:
distributive
Step-by-step explanation:
they took the number outside of the parentheses and multiplied by the inside
Vote you brainiest please help me
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Answer:whole
Step-by-step explanation:
a whole number and a fraction make a mixed number.
Correct 25.0457 to 2 significant figure
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9514 1404 393
Answer:
25.
Step-by-step explanation:
The first two significant figures are 2 and 5. The next figure is 0, so we don't need to round up. The number to 2 significant figures is 25.
I need this answer ACAP, please! (Marta likes to make soup during the winter months. No matter how much soup she makes, she always freezes 32 ounces to save for later, then serves what's left).
60 divided by 32
60 plus 32
60 times 32
60 minus 32
Which one?
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Answer:
60 minus 32
Step-by-step explanation:
Since she freezes 32 ozs everytime, shes taking away 32 oz, so your bassicaly losing 32 ozs temperorily.
HELP PLEASE
3. A child swims 50 yards in 50 seconds.
How many FEET can she swim per second?
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Answer:
3 ft.
Step-by-step explanation:
They swim 1 yard a second and 1 yard = 3 ft.
In a certain Algebra 2 class of 28 students, 7 of them play basketball and 5 of them
play baseball. There are 18 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
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x+2y-z = 9
-2x+y+z= 1
2x-y+2z= -5
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Answer:
I don't understand the first one
HELP!! BRAINLIEST AND 10 POINTS !!!! THANK YOU SO MUCH
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Answer:
B and C
Step-by-step explanation:
BRAINLIEST PLEASE
Abdul made $252 for 12 hours of work.At the same rate,how many hours would he have to work to make $105
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Answer:
5 hours
Step-by-step explanation:
252 divided by 12= 21
21x5=105
Put these amounts of money in order smallest to largest
£1.32 £1.23 £1.03 £3.21 £3.12
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Answer:
£1.03, £1.23, £1.32, £3.12, £3.21
Step-by-step explanation: