There are 912 yellow chairs and blue chairs altogether in an auditorium. The blue chairs are arranged in 36 rows with 12 chairs in each row. The yellow chair are arranged in rows of 20. How man rows of yellow chairs are there?
If josh spends 4,000 a year on tuition and fees, 1,200 a year on books, and forgoes earning 10,000 a year, how much will his four year degree cost
The total cost of the four-year degree for Josh, when considering tuition and fees, book costs, and his foregone earnings, would be 60,800 dollars.
Explanation:The cost of a four-year degree would be the sum of tuition and fees, book costs, and forgoing potential earnings per year, multiplied by the four years of the degree. Let's break it down:
Tuition and fees cost: 4000 dollars/yearBook costs: 1200 dollars/yearForgone earnings: 10000 dollars/yearTherefore, the annual cost would be the sum of these, which is 4000 + 1200 + 10000 = 15200 dollars/year. Then we multiply this by the 4 years, 15200 * 4 = 60800 dollars. So, the four-year degree would cost Josh 60800 dollars, considering the provided expenses and forgone earnings.
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A batch of chicken required 4 6⁄7 cups of flour. If a fast food restaurant was making 3 3⁄4 batches, how much flour would they need?
The fast food restaurant would need 255/14 cups of flour for 3 3/4 batches of chicken.
To find out how much flour a fast food restaurant needs for 3 3/4 batches of chicken, let's start by calculating the flour required for one batch.
One batch requires 4 6/7 cups of flour.
To convert the mixed number to an improper fraction:
4 6/7 = (4 * 7 + 6)/7 = 34/7 cups
So, one batch requires 34/7 cups of flour.
Now, let's find out how much flour is needed for 3 3/4 batches:
3 3/4 batches = (3 + 3/4) batches
To convert the mixed number to an improper fraction:
3 3/4 = (3 * 4 + 3)/4 = 15/4 batches
Now, we multiply the amount of flour needed for one batch by the number of batches:
15/4 * 34/7 = (15 * 34)/(4 * 7) = 510/28
Now, we simplify the fraction:
510/28 = (510 ÷ 2)/(28 ÷ 2) = 255/14
So, the fast food restaurant would need 255/14 cups of flour for 3 3/4 batches of chicken.
If you were asked to play a game in which you tossed a fair coin three times and were given $2 for every head you threw, how much would you expect to win on average?
What is the equation of the line in standard form? (-3, 1) (3, 2)
Final answer:
The equation of the line passing through the points (-3, 1) and (3, 2) in standard form is (1/6)x - y = 5/6.
Explanation:
The equation of a line in standard form is Ax + By = C, where A, B, and C are constants. To find the equation of the line passing through the points (-3, 1) and (3, 2), we need to find the values of A, B, and C.
To do this, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept. First, let's find the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the values, we get:
m = (2 - 1) / (3 - (-3)) = 1/6
Now, we can substitute the slope (m) and one of the given points (x, y) into the slope-intercept form to find the y-intercept (b). Using (-3, 1) as the point:
1 = (1/6)(-3) + b
Simplifying, we get:
b = 5/6
Now, we can substitute the values of m and b into the standard form equation to get:
(1/6)x - y = 5/6
if (7,2) is an ordered pair of the function f(x) which of the following must be an ordered pair of the inverse of f(x)?
(2,7)
(2,2)
(7,2)
(7,7)
Answer:
(2,7)
Step-by-step explanation:
Here is an example just to show that it works.
3x+2y=25
3(7) + 2(2) = 21 + 4 = 25
3y+2x=25
25-2x=3y
25/3 - 2/3x = y
25/3 -2*2/3=25-4/3=21/3=7
Can u simplify and convert these please and thank you
Which line on the graph below has a slope
the difference of a given month's rainfall from the average monthly rainfall is called the deviation. What is the deviation for each month shown?
average monthly rainfall 3.6
given month may 2 3/5; june 7/8; July 4 1/4
Answer:
Deviation:
may : 1
june: 0.875
july: 0.65
Step-by-step explanation:
It's given that the difference of a given month's rainfall from the average monthly rainfall is called the deviation .
To find : deviation for each month: may 2 3/5; june 7/8; July 4 1/4:
Solution :
Average monthly rainfall = 3.6
Rainfall in may = [tex]2\frac{3}{5}[/tex] = 2.6
Deviation = Average monthly rainfall - month's rainfall ( may ) = 3.6 - 2.6 = 1
Rainfall in june = 3.6 - 0.875 = [tex]\frac{7}{8}=2.725[/tex]
Deviation = Average monthly rainfall - month's rainfall ( june ) = 0.875
Rainfall in july = [tex]4\tfrac{1}{4}=\frac{17}{4}=4.25[/tex]
Deviation = Average monthly rainfall - month's rainfall ( july ) = 4.25 - 3.6 = 0.65
If the length between points on a map is 6 inches, 8 inches, and 9 inches, and the scale is one inch equals 5 miles, find the distances in miles.
a.) 1.2, 1.6, and 1.8 miles
b.) 11, 13, and 14 miles
c.) 30, 40 and 45 miles
Answer:
Option c is correct
Distance in miles are; 30, 40, 45 miles
Step-by-step explanation:
As per the statement:
If the length between points on a map is 6 inches, 8 inches, and 9 inches.
It is also given that:
1 in. = 5 miles
We have to find the distance in miles:
For 6 inches.
1 in. = 5 miles
6 in. = [tex]6 \cdot 5 = 30[/tex] miles
Similarly, for 8 inches:
8 inches = [tex]8 \cdot 5 = 40[/tex] miles
For 9 inches:
9 inches = [tex]9 \cdot 5 = 45[/tex] miles
Therefore, distance in miles are; 30, 40, 45 miles
What is X+.07x=44.94
The Leukemia and Lymphoma Society sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in donations, but it must spend $15 per race entry to cover the cost of the race. Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000.
During the 1998-1999 Junior Hockey League season, the Sharks played 66 games. Together, their wins and losses totaled 59. They tied 14 fewer games than they lost. How many games did they win that season?
There are 130 calories in a cup of whole milk and only 74 in a cup of skim milk. In switching to skim milk, find the percent decrease in number of calories.
Write 7.085 × 10-14 as an ordinary number 0.000 000 000 007 085 0.000 000 000 000 708 5 0.000 000 000 000 0708 5 0.000 000 000 000 0070 85
The ordinary number for the given Scientific notation is 0.00000000000007085.
Given that, [tex]7.085\times10^{-14}[/tex].
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.57\times10^7[/tex].
The given number can be written as [tex]\frac{7.085}{10^{14}}[/tex]
= 0.00000000000007085
Therefore, the ordinary number for the given Scientific notation is 0.00000000000007085.
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Solve the equation.
5p/7 - 18 = -43
A. -35
B. -31
C. -85 2/5
D. -50
Please explain your answer.
Answer:
-35
Step-by-step explanation:
Write a real-life situation that can be modeled by the expression 5 x 3/4
3/4 is a fraction
match the top cards to the bottom cards to show doubles plus 1
This question is all about doubles. The given bottom cards 5
2 3 4 and the top cards are 1 4 3 2.
The problem is asking to match the top cards to the bottom ones then adding 1
to get the doubles.
So 1 should be corresponding to two. Since 1 + 1 = 2
4 should be corresponding to 5. Since 4 + 1 = 5
3 should be corresponding to 4. Since 3 + 1 = 4
And lastly, 2 should be corresponding to 3. Since 2 + 1 = 3
what is the value of n (9x23) +(3 ×39) - 28 = n
Which shows the expressions in the order they would appear on a number line from least to greatest?
17 over 9, square root of 6, square root of 15, square root of 30, 3 to the power of 3
3 to the power of 3, square root of 30, square root of 15, square root of 6, 17 over 9
3 to the power of 3, square root of 6, square root of 15, 17 over 9, square root of 30
17 over 9, square root of 30, square root of 15, 3 to the power of 3, square root of 6
SOMEONE PLEASE HELP!!
Answer:
A
Step-by-step explanation:
Find factors of 15y^2-50y+35=
Consider two identical iron nails: one nail is heated to 95 °c, the other is cooled to 15 °c. the two nails are placed in a coffee cup calorimeter and the system is allowed to come to thermal equilibrium. what is the final temperature of the two nails
In this case, the final temperature of the two nails will be an average of their initial temperatures, which is 55 °C.
Explanation:When two objects at different temperatures come into contact, heat is transferred from the object with higher temperature to the object with lower temperature until they reach thermal equilibrium.
In this case, the heated iron nail at 95 °C will transfer heat to the cooled iron nail at 15 °C when they are placed in the coffee cup calorimeter.
The final temperature of the two nails will be an average of their initial temperatures, which is (95 °C + 15 °C) / 2 = 55 °C.
A towns election commitee expects 5 out of every 7 registered voters to vote in the next
What is a solution to (x + 6)(x + 2) = 60?
A. x = −6
B. x = −4
C. x = 4
D. x = 12
D.x=12 this is your answer
If n + 3 = 13, then n = 4.33333... B
which expression would give the thirteenth term Given the sequence 8, 16, 32, 64, ...,
813
8 · 213
8 · 212 ? 813 8 · 213 8 · 212
What is the domain and the range of the relation represented by the ordered pairs? {(6,6),(−1,3),(3,6),(0,4)}{(6,6),(−1,3),(3,6),(0,4)} Select each correct answer.
Bank get most of the money to loan out to people from
A taxes charged by banks
B the government
C other banks
D people that deposit money in the bank for safekeeping
Answer:
D!!
Step-by-step explanation:
Ted used a $150 check to pay for some books. Where in his checkbook register should he write this amount? in the PAYMENT or WITHDRAWAL AMOUNT column in the DEPOSIT AMOUNT column in the BALANCE column in the FEE column NextReset
Answer:
Ted should write the amount in the PAYMENT column of the checkbook register.
Step-by-step explanation:
When we want to withdraw money from the account then we need to mention the amount in the WITHDRAWAL column of the checkbook register.
When we want to deposit money to the account then we need to mention the amount in the DEPOSIT column of the checkbook register.
When we want to pay money to the someone else's account then we need to mention the amount in the PAYMENT column of the checkbook register.
So, Ted must write the amount in the PAYMENT column of the checkbook register.
The repeating decimal, 0.27..., is converted to the fraction 0.27..=3/x
what is the value for x in the fraction
Answer:
The required number in the fraction is x=11
Step-by-step explanation:
Given : The repeating decimal, 0.27..., is converted to the fraction [tex]0.27....=\frac{3}{x}[/tex]
To find : What is the value for x in the fraction ?
Solution :
Let [tex]y=0.272727...[/tex] ....(1)
Multiply both side by 100,
[tex]100y=27.2727...[/tex] .....(2)
Subtract (1) and (2),
[tex]100y-y=(27.2727....)-(0.272727...)[/tex]
[tex]99y=27[/tex]
[tex]y=\frac{27}{99}[/tex]
[tex]y=\frac{3}{11}[/tex]
On comparing with [tex]0.27....=\frac{3}{x}[/tex]
The value of x is 11.
Therefore, The required number in the fraction is x=11.