Why did most ancient cultures primarily write out there mathematical text in words
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The history of mathematics is nearly as old as humanity itself. Since antiquity, mathematics has been fundamental to advances in science, engineering, and philosophy.
During the 16th and early 17th Century, the equals, multiplication, division, radical (root), decimal and inequality symbols were gradually introduced and standardized.
The use of decimal fractions and decimal arithmetic is usually attributed to the Flemish mathematician Simon Stevin the late 16th Century, although the decimal point notation was not popularized until early in the 17th Century.
It has evolved from simple counting,measurement and calculation, and the systematic study of the shapes and motions of physical objects, through the application of abstraction, imagination and logic, to the broad,complex and often abstract discipline we know today.
Mathematical symbols were not created until the 16th Century. The earliest is the plus sign, +, in the 14th and the minus, -, is the 15th.
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The correct answer is:
They had no numeral for zero in their number system.
Without a zero, it is hard to accurately represent real world problems. This makes it easier to use words rather than numbers.
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Owen’s grandmother put some money into his savings account on the day he was born. Today, Owen turns 18 years old, and he’s discovered that he has earned $225 in simple interest on his grandmother’s money. If the yearly interest rate was 5%, how much money did his grandmother deposit at the time of his birth?
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Answer:
Al will receive $1770 for his work.
Step-by-step explanation:
Given : Al Johnson is a word processor. He is paid $2.95 a page.
To Find: A normal job has 600 pages and requires about 225 words per page. About how much will Al receive for his work?
Solution:
Cost of 1 page = $2.95
So, cost of 600 pages =
=
Hence Al will receive $1770 for his work.
2.95 * 600 = $ 1770
1
y = -x-6 be determined? Explain.
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Answer:
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Assuming that you mean that the equation of line c is
We can deduce that the slope of line c is
since the slope is the coefficient multiplying x in the equation of a line. Since we want line d to be perpendicular to line c, their slope must be in the following relationship:
So, line d has slope 3/4 and passes through point (4,-4). Use the equation
to find the equation of line d, where
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Step 1). Find the actual dimensions of the pen.
Step 2). Decide the total amount on longer sides
and the total amount on shorter sides.
Step 3). Work out the costs.
Dimensions of the pen:
"Twice as long as it is wide".
Width = W feet
Length = 2W feet
Perimeter = W + 2W + W + 2W = 6W = 48 feet
Width = W = 8 feet
Length = 2W = 16 feet
Amount on long sides and short sides:
The longer sides are 16 feet.
There are 2 of them.
Total mount on longer sides = 32 feet.
The shorter sides are 8 feet.
There are 2 of them.
Total amount on shorter sides = 16 feet.
Costs:
Longer sides: (32 feet) x ($1.85 per feet) = $59.20
Shorter sides: (16 feet) x ($2.35 per foot) = $37.60
Total cost of material to build the pen = $96.80
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Working
Let p represent the cost of pretzels and L the cost of a lemonade.
From the second paragraph,
2p+ L= 5.75
From the equation above, the cost of a pretzel p can be expressed as:
2p= 5.75 - L
p= 5.75/2 - l/2
The cost of two lemonades exceeds that of a pretzel by 0.25:
2 L= 5.75/2 -L/2+0.25
Solving this gives:
L=1.05
Then replace the value of L in p= 5.75/2 - L/2
This gives the value of a pretzel.
Final answer:
By using a system of equations, we can find that the cost of a pretzel is approximately $1.83.
Explanation:
This question can be solved using a system of linear equations. Let's define P as the cost of a pretzel and L as the cost of lemonade. So from the problem, we have 2 equations: 2P + L=$5.75 and L= P + $0.25.
Now, we can substitute the equation for L into the first equation to get: 2P + (P + $0.25) = $5.75, which simplifies to 3P + $0.25 = $5.75. Subtracting $0.25 from both sides gives 3P = $5.50. Dividing by 3 will then give the cost of a pretzel, so P = $5.50/3 = $1.83.
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