find the missing values in the ratio table .then write the equivalent ratios .
The missing values are 12 and 18.
The ratios are [tex]\dfrac{9}{12}[/tex] and [tex]\dfrac{18}{24}[/tex].
The given table is:
[tex]\begin{center}\begin{tabular}{ c c c c } shoes & 36 & 9 & y \\ socks & 48 & x & 24 \\\end{tabular}\end{center}[/tex]
Since all the columns are pertaining same ratio; thus we have:
[tex]\dfrac{36}{24} = \dfrac{9}{x} = \dfrac{y}{24}\\\\\dfrac{3}{4} = \dfrac{9}{x} = \dfrac{y}{24}\\\\\\or\\\\\dfrac{3}{4} = \dfrac{9}{x}\\\\x = 12\\\\and \\\\\dfrac{3}{4} = \dfrac{y}{24}\\\\y = 18[/tex]
Thus, the missing values x and y are 12 and 18 respectively.
And the are ratios [tex]\dfrac{9}{12}[/tex] and [tex]\dfrac{18}{24}[/tex].
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Where are the asymptotes of f(x) = tan(4x − π) from x = 0 to x = pi over 2 ?
Answer:
D 3pi/8 , 5pi/8
Step-by-step explanation:
Two pools are being filled with water. To start, the first pool contains 890 liters of water and the second pool is empty. Water is being added to the first pool at a rate of 20.5 liters per minute. Water is being added to the second pool at a rate of 42.75 liters per minute.
To paint a sunset, you make a shade of orange paint using 55 drops of red paint for every 88 drops of yellow paint. If you use 1515 drops of red paint, how many drops of yellow paint would you need?]
Beverly made a deposit of $375 into her checking account. Then she withdrew $ 65. The next day, she wrote a check for $ 135. She had $475 before any of these transactions. How much money is in her account now?
A train moving at a constant speed of 70.0 km/h moves east for 45.0 min, then in a direction 55.0° east of due north for 25.0 min, and then west for 55.0 min. what is the average velocity of the train during this run? (let the +x-axis point towards the east and the +y-axis point towards the north.)
In , is a right angle. find the remaining sides and angles. round your answers to the nearest tenth . show your work. a = 3, c = 1 9
43 ones x 3 tens= Tens
Place value is the value of each digit in a number.
The value of 43 ones x 3 tens is 129 tens
43 ones x 3 tens = 129 tens.
What is a place value?
Place value is the value of each digit in a number.
Example: 2345.67
2 – thousands place value
3 – hundreds place value
4 – tens place value
5 – ones place value
6 – tenths place value
7 – hundredths place value
We have,
43 ones x 3 tens
43 ones can be written as 43
3 tens can be written as 30
So,
43 ones x 3 tens = 43 x 30
43 x 30 = 1290
This means,
1290 = 129 tens
43 ones x 3 tens = 129 tens
Thus,
The value of 43 ones x 3 tens is 129 tens
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A scientist has four petri dishes of different sizes. Each dish contains a different number of bacteria. Find each population density, to the nearest hundredth. Which statement is true? Dish A has the lowest population density. Dish C has the greatest population density. Dish A and Dish B have approximately the same population density. Dish C and Dish D have approximately the same population density.
The statement that is True is Option D which says:
"Dish C and Dish D have approximately the same population density."
What is Population Density?The population density of an area is the Number of Entities in that space/Total Area occupied by the population.
It can also be written as Dp = N/A.
Because the Dp of Dish C and Dish D is approximately 0.68, we can say that they have approximately the same Dp.
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Walter takes 7/10 of an hour to mow 2/5 of an acre of lawn. At this rate, how many acres will he mow in an hour?
Answer:
4/7 acres per hour
Step-by-step explanation:
long division 573÷15=
Danny “Dimes” Donahue is a neighborhood’s 9-year old entrepreneur. His most recent venture is selling homemade brownies that he bakes himself. At a price of $1.75 each, he sells 100. At a price of $1.25 each, he sells 300.
a. The elasticity of demand is 0.0225.
b. Demand is inelastic over this price range.
c. Total revenue would increase due to the more elastic demand resulting in a greater quantity demanded with a price decrease.
Let's first calculate the price elasticity of demand using the midpoint method:
a. Price elasticity of demand formula:
[tex]\[ E_d = \frac{\text{Percentage change in quantity demanded}}{\text{Percentage change in price}} \times \frac{\text{Average price}}{\text{Average quantity}} \][/tex]
Percentage change in quantity demanded:
[tex]\[ \text{Percentage change in quantity demanded} = \frac{300 - 100}{\frac{300 + 100}{2}} \times 100\% = \frac{200}{200} \times 100\% = 100\% \][/tex]
Percentage change in price:
[tex]\[ \text{Percentage change in price} = \frac{1.25 - 1.75}{\frac{1.25 + 1.75}{2}} \times 100\% = \frac{-0.5}{1.5} \times 100\% = -33.33\% \][/tex]
Average price and average quantity:
[tex]\[ \text{Average price} = \frac{1.25 + 1.75}{2} = \frac{3}{2} = 1.50 \]\[ \text{Average quantity} = \frac{300 + 100}{2} = \frac{400}{2} = 200 \][/tex]
Now, we can plug these values into the elasticity formula:
[tex]\[ E_d = \frac{100\%}{-33.33\%} \times \frac{1.50}{200} \]\[ E_d = -3 \times 0.0075 \]\[ E_d = -0.0225 \][/tex]
a. The elasticity of demand is 0.0225.
b. Since the elasticity of demand is less than 1, demand is inelastic over this price range.
c. If demand had the same elasticity for a price decline from $1.25 to $0.75 as it does for the decline from $1.75 to $1.25, cutting the price from $1.25 to $0.75 would increase Danny's total revenue because the demand would be more elastic, resulting in a greater increase in quantity demanded compared to the decrease in price.
Complete Question:
Danny “Dimes” Donahue is a neighborhood’s 9-year old entrepreneur. His most recent venture is selling homemade brownies that he bakes himself. At a price of $1.75 each, he sells 100. At a price of $1.25 each, he sells 300.
Instructions: Use the midpoint method and round your answer to 2 decimal places. Do not include a minus sign.
a. What is the elasticity of demand?
b. Is demand elastic or inelastic over this price range?
c. If demand had the same elasticity for a price decline from $ 1.25 to $ 0.75 as it does for the decline from $ 1.75 to $ 1.25, would cutting the price from $ 1.25 to $ 0.75 increase or decrease Danny's total revenue?
Divide.
-5 1/3 ÷ 2 3/4
A. -12 5/6
B. -7 5/12
C. -1 31/33
D. -1 11/12
Please answer fast!!!!!!
What is 2/3 times 3/4
When twotwo basketball players are about to have a free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. what is the probability that they shoot free throws in alphabetical order? assume each player has a different name?
Final answer:
The probability of shooting free throws in alphabetical order is 0.5.
Explanation:
Probability of shooting free throws in alphabetical order:
Determine the total number of ways the players can shoot. There are 2 players, so 2! (2 factorial) = 2 ways.
Calculate the number of ways they can shoot in alphabetical order. As they have different names, only 1 way exists.
Probability = (Number of ways shooting in alphabetical order) / (Total number of ways to shoot) = 1/2 = 0.5.
Write a rule for the linear function in the table.
x; f(x)
2 8
5 17
5 11
11 23
A; f(x) = x + 5
B;f(x) = x + 1
C;f(x) = 2x + 1
D;f(x) = –2x – 1
the correct answer is A. [tex]\( f(x) = 2x + 1 \).[/tex]
To find the rule for the linear function represented in the table, we can use the formula for a linear function, which is:
[tex]\[ f(x) = mx + b \][/tex]
Where:
- m is the slope of the line
- b is the y-intercept
Given the table:
[tex]\[ \x & : 2, 5, 8, 11 \\f(x) & : 5, 11, 17, 23\end{align}\][/tex]
We can start by finding the slope (m) using the formula:
[tex]\[ m = \frac{{f(x_2) - f(x_1)}}{{x_2 - x_1}} \][/tex]
Let's choose two points from the table, for example, (2, 5) and (5, 11):
[tex]\[ m = \frac{{11 - 5}}{{5 - 2}} \]\[ m = \frac{{6}}{{3}} \]\[ m = 2 \][/tex]
So, we have found that the slope m is 2.
Now, we can use the slope-intercept form of a line to find the y-intercept (b). We can pick any point from the table to do this. Let's use the point (2, 5):
f(x) = mx + b
5 = 2(2) + b
5 = 4 + b
b = 5 - 4
b = 1
So, we have found that the y-intercept b is 1.
Now, we can write the rule for the linear function:
[tex]\[ f(x) = 2x + 1 \][/tex]
Therefore, the correct answer is A. [tex]\( f(x) = 2x + 1 \).[/tex]
The complete question is:
Write a rule for the linear function in the table.
x = 2,5,8,11
f(x) = 5,11,17,23
A. f(x) = 2x + 1
B. f(x) = x + 5
C. f(x) = –2x – 1
D. f(x) = 1/2x+1
Number 49....I need help
I Need to identify the property that justifies each step to simplify the expression
The problem is
2n>14
n=?
Y=(2x-3)^5(2-x^4)^3 differentiate the function please
Where are the negative rational numbers placed on a vertical number line
Must a function that is decreasing over a given interval always be negative over that same interval ? Explain
Answer:
For a function to be decreasing over an interval, the outputs on the function are getting smaller as the inputs of the function are getting larger, but the outputs could be positive or negative. For a function to be negative over an interval, the outputs must be negative, while the inputs could be positive or negative.
How many choices if 2 of the friends will only attend together?
how many hours would someone who earns 9.75 per hour have to work to earn 351
a 3 pound pork loin can be cut into 10 pork chops of equal weight. how many ounces are in each pork chop? please show your work
kim and brittany are selling chocolate chip cookies and red velvet cupcakes. kim made $81 selling 18 chocolate chip cookies and 12 red velvet cupcakes .brittany made $77 by selling 2 chocolate chip cupcakes and 24 red velvet cupcakes . what was the price of each type of cupcake ?
What are the coordinates of the vertices of the triangle under the translation (x, y) mc011-2.jpg (x + 1, y - 4)?
(0, -3), (0, 0), (3, -3)
(-3, 0), (3, -3), (0, -3)
(0, -3), (-3, -3), (-3, 0)
(-3, 0), (0, 0), (-3, -3)
it is c :
(0,-3), (-3,-3), (-3,0)
just take the X and Y of the coordinates of the original triangle and substitute it in the given equation (x + 1, y - 4)
try it out yourself it works :)
Write an equation in point-slope form of the line through point p(9, -1) with slope -5.
Dennis wrote down a three digit number, The digit in the tens place is 2 more than the digit in the hundreds place. The digit in the ones place is 6less than the digit in the tens place. The digit in the hundreds place is odd number. What is the three digit number?
A total of 14000 votes were cast to two opposing candidates. Adam and Karl.Adam won by ratio of 4:3 how many votes were cast to karl?