To solve problems about spans of time that include B.C. and A.D. dates, you would need to use which numbers?
The correct numbers to use in solving problems about spans of time like B.C. and A.D. should be “integers”.
Integers are whole numbers (not a fractional number or not a decimal number) which can take a value of negative, zero, or positive number. Example of integers would be -1, 0 and 1.
In calculations, the time period would be on the x-axis. Since B.C. and A.D. are two different spans of time, therefore in the calculations, the date of BC should be negative (negative x-axis) while the date of AD should be positive (positive x-axis). This would place the origin as the common reference.
To solve problems about spans of time that include B.C. and A.D. dates, Integers will be used .
What is B.C. and A.D. ?
The terms A.C. and B.C. stands for anno Domini and before Christ
These are used to label years in the Gregorian calendars.
For solving a Problem that involve B.C and A.D. , Integers will be used
As the time span are neither in fraction or decimal
It can be negative , 0 and positive
B.C will be on the negative side of the x axis and A.D. will be equal to the positive side of the x axis.
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What is the ratio of 400 to 400 in fraction form
Answer: 400/400 which reduces to 1/1
Step-by-step explanation:
A 250 ml glass of orange juice contains 22 grams of sugar. how much sugar is in a two-liter (2,000 ml) bottle of orange juice?
Orange juice contains some amount of sugar in it. There is 176 g of sugar present in a 2000 ml bottle of orange juice.
Given:
A 250 ml glass of orange juice contains 22 grams of sugar.
It is required to calculate the amount of sugar present in the 2000 ml bottle of juice.
Now, the amount of sugar present in 1 ml of juice will be,
[tex]\dfrac{22}{250}=\dfrac{11}{125}\rm \; g[/tex]
So, the amount of sugar in 2000 ml of juice will be,
[tex]\dfrac{11}{125}\times 2000=11\times 16\\=176\rm \; g[/tex]
Therefore, there is 176 g of sugar present in a 2000 ml bottle of orange juice.
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What is the solution set of x 2 + 5x - 5 = 0?
Answer:
a=1 b=5 c=-5
We solve by using the quadratic formula.
x = -5 +- sq root (5² - 4*1*-5) / (2 * 1)
x = [-5 +- sq root (25 + 20)]/ 2
Step-by-step explanation:
In 2006,111.7 million household owned at least
In 2006, 112.8 million households owned at least one TV set. About 5.8 million households owned 3 or more TV sets in 2006. What percentage of those owning atleast one TV set was this? Round to the nearest integer
5.8 / 112.8 = 0.051418 which is 5.1418 percent, rounds down to 5%.
boiling point of water is 212 Fahrenheit Paul wants to boil water to make pasta right now he only has ice which is at a temperature of -4 degrees how many degrees must Paul change the temperature of the water for it to become boiling water
Paul must increase the temperature by 216 degrees Fahrenheit to boil his ice and be able to cook his pasta.
Explanation:Paul needs to raise the temperature of the ice he has from -4 degrees Fahrenheit to the boiling point of water, which is 212 degrees Fahrenheit. To determine how many degrees Paul needs to change the temperature, we subtract the current temperature of the ice from the desired temperature to boil water. Here is the step-by-step calculation: Subtract -4 from 212. The result is that Paul needs to increase the temperature by 216 degrees Fahrenheit for the ice to reach the boiling point and cook his pasta.
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How many integers between 100 and 300 inclusive,are divisible by 10?
Which of the following points lies on the line y = x + 1?
A. (2,3)
B. (2,-3)
C. (-2,3)
D. (-2,-3)
It takes 23 minutes for 6 people to paint 6 walls. How many minutes does it take 9 people to paint 7 walls?
When a measurement in inches is converted to centimeters,will the number of centimeters be greater or less than the number of inches
Evaluate the expression 3c – d for the given variable. d = -c + 7
Use the percent of change to find the new amount 120 pounds decreased by 30%
You put $100 in an account. The account earns $2 simple interest in 6 months. What is the annual interest rate?
If the unit selling price is $2.50 and the unit cost is $1.00, what action is need to maintain the gross margin percentage when unit cost increases $0.25
what are characteristics of complex numbers
the equation of a curve is xy=12 and the equation of a line l is 2x+y=k where k is a constant .In the case where k=11 find the coordinates of the points of intersection of l and the curve.
The coordinates of the points of intersections of [tex]l[/tex] and the curve are [tex](x_{1}, y_{1}) = (4,3)[/tex] and [tex](x_{2}, y_{2}) = (1.5, 8)[/tex].
According to the statement, we get the following nonlinear system of equations:
[tex]x\cdot y = 12[/tex] (1)
[tex]2\cdot x + y = 11[/tex] (2)
Now we proceed to solve for each variable by algebraic means. By (1):
[tex]y = \frac{12}{x}[/tex]
Then we apply the formula in (2):
[tex]2\cdot x + \frac{12}{x} = 11[/tex]
[tex]2\cdot x^{2}+12 = 11\cdot x[/tex]
[tex]2\cdot x^{2}-11\cdot x +12 = 0[/tex]
Roots are found by the quadratic formula and (1):
[tex]x_{1} = 4[/tex], [tex]y_{1} = 3[/tex]
[tex]x_{2} = 1.5[/tex], [tex]y_{2} = 8[/tex]
The coordinates of the points of intersections of [tex]l[/tex] and the curve are [tex](x_{1}, y_{1}) = (4,3)[/tex] and [tex](x_{2}, y_{2}) = (1.5, 8)[/tex].
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Write 800 as a product of its prime factors
what is the relationship between the 3s in 9338
Answer:
The 3 in the hundreds place has 10 times the value of the 3 in the tens place.
Step-by-step explanation:
In a base-10 place-value number system such as the one we customarily use, the value of a given digit is multiplied by 10 when it is placed one position farther to the left of the decimal point.
The threes in this number are in adjacent positions—one is in the tens place, and the one to its left is in the hundreds place. The digit in the hundreds place has a value of 300, which is 10 times the value of 30 that the digit in the tens place has.
Susan invests
3
times as much money at
11
%
as she does at
7%
. If her total interest after
1
year is
$2000
, how much does she have invested at each rate?
A baseball manager has 12 players of the same ability how many nine player starting lineup starting create
Given: F(x) = 3x 2 + 1, G(x) = 2x - 3, H(x) = x
I think it's 2(x+3).
Answer: 2(x+3)
paralyzed;live
2. Wandabaked168cookies,packagedtheminboxesof12,andsoldeachboxfor $1.20. How many boxes of 12 can be packaged if there are 168 cookies? What was the total amount of money that Wanda made for all of the boxes sold?
------------------------------------------------------
This question is solved using proportions.
In each box, there are 12 cookies.She baked 168 cookies.Thus, to find the number of boxes, we use a rule of three.
1 box - 12 cookies.
x boxes - 168 cookies.
Applying cross multiplication:
[tex]12x = 168[/tex]
[tex]x = \frac{168}{12}[/tex]
[tex]x = 14[/tex]
Thus, 14 boxes can be packaged.
------------------------------------------------------
Now, we find the amount of money she made.
She sold 14 boxes.Each box for $1.20.Thus:
[tex]T = 14 \times 1.2 = 16.8[/tex]
She made $16.8.
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Three tables are placed side by side. One table is 2 feet 9 inches wide, another is 4
feet 8 inches wide, and the third is 6 feet 11 inches wide. How wide are they combined?
Write your answer in feet and inches. Use a number less than 12 for inches
Final answer:
The combined width of the three tables is 14 feet 4 inches, calculated by first converting each table's width to inches, adding them together, and then converting the total back to feet and inches.
Explanation:
To find the combined width of the three tables placed side by side, you need to add the widths together. First, convert all measurements to inches, add them, and then convert back to feet and inches.
Table 1: 2 feet 9 inches = (2 × 12) + 9 = 24 + 9 = 33 inches
Table 2: 4 feet 8 inches = (4 × 12) + 8 = 48 + 8 = 56 inches
Table 3: 6 feet 11 inches = (6 × 12) + 11 = 72 + 11 = 83 inches
Now, add the inches: 33 + 56 + 83 = 172 inches.
To convert 172 inches back to feet and inches, divide by 12 (since there are 12 inches in a foot): 172 ÷ 12 = 14 feet 4 inches (since 172 divided by 12 is 14 with a remainder of 4).
Therefore, the combined width of the tables is 14 feet 4 inches.
Which lines are Parallel? Justify your answer
Answer:
Lines e and f are parallel since their alternate exterior angles 75 ad 75 are congruent.
Step-by-step explanation:
Parallel lines mean that angle relationships exits where specific angles are congruent to each other. 75 and 75 are in the position of alternate exterior angles for lines e and f. Since they are congruent, these lines must be parallel. However, a and b have same side exterior angles which must add to 180. 75 + 115 does not equal 180. It equals 190. Therefore a and b cannot be parallel.
Answer:
E and F on edgenuidy
Step-by-step explanation:
did it rn
A square has an area that is less than 100m^2. What is a reasonable range for the graph of the squares side
A pool can be filled by one pipe in 4 hours and by a second pipe in 12 hours. How long will it take using both pipes to fill the pool?
The individual pipes can fill the pool in 4 hours and 12 hours respectively then using both pipes together, it will take 3 hours to fill the pool.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Give that,
One pipe can fill the pool in 4 hours.
Another pipe can fill the pool in 12 hours.
The first pipe fills the pool in 4 hours,
So its rate is 1/4 of the pool per hour.
Similarly,
The second pipe fills the pool in 12 hours,
So its rate is 1/12 of the pool per hour.
To find the combined rate, when both pipes are used together,
Add their individual rates:
(1/4 + 1/12) = 3/12 + 1/12 of the pool per hour.
(1/4 + 1/12) = 1/3 of the pool per hour.
Now, to find the time it takes to fill the pool using both pipes,
Take the reciprocal of the combined rate,
1 / (1/3) = 3 hours.
Hence,
Using both pipes together, it will take 3 hours to fill the pool.
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In 1996, funding for a program increased by 0.62 billion dollars from the funding in 1995. In 1997, the funding increased 0.29 billion dollars over the funding in 1996. For those three years, the funding was 11.25 billion dollars. How much was funded in each of these three years?
Today only, a table is being sold for $333 . This is 74% of its regular price. What was the price yesterday?
Can the remainder in a division problem ever equal the divisor? Why or why not
Simplify 2 square root of 10 times 3 square root of 12
answers
A.6squar rootof120
B.12squar rootof60
C.12squar rootof30
D.5squar rootof120
The simplified form of the expression [tex]2\sqrt{10} \times 3\sqrt{12}[/tex] is [tex]6\sqrt{120}[/tex] which corresponds to answer choice A.
Given: [tex]2\sqrt{10} \times 3\sqrt{12}[/tex]
To find: simplify
We can break down the expression [tex]2\sqrt{10} \times 3\sqrt{12}[/tex] and multiply the roots and whole numbers as follows:
[tex]\text{product is} = 2\sqrt{10} \times 3\sqrt{12} \\\text{product is} = 2 \times 3 \times \sqrt{10} \times \sqrt{12}\\\text{product is} = 6 \times \sqrt{120}\\\text{product is} = 6\sqrt{120}[/tex]
The simplified form of the given expression is 6√120, which corresponds to answer choice A.