Which represents the solution set of the inequality 5x-9<21
Answers
Answer:
x < 6
Step-by-step explanation:
5x -9 < 21
then add 9 to both sides
5x< 30
divide by five
x<6
Related Questions
FAST!!! HELP PLSSS
Explain how you got the answer too!!
Answers
Answer: B (4, 8)
Step-by-step explanation:
6x + 3y=48
5x+y= 28
these functions are lines. "Solving a system of questions" means to find the point where they intersect, where the x's are the same and the y's are the same.
You want to multiply an entire equation to eliminate a variable.
6x + 3y=48
5x+y= 28
6x + 3y=48 multiply the 2nd equation by -3 so you can eliminate the y's
-3(5x+y= 28) multiply all terms by -3
6x + 3y=48
-15x-3y= -84 add like terms of the equations and the y goes away
-9x = -36 divide both sides by -9 to solve for x
x=4 now substitute back into one of the original equations
5(4)+y=28
20+y28
y=8
x=4, y=8
(4, 8) is your point where they intersect.
The engineer's model of a sugar factory has a floor area of 30 inches by 52 inches. The floor area of the model is __________ square feet.
Answers
The floor area of the engineer's model of the sugar factory is 10.825 square feet.
To determine the floor area of the engineer's model of a sugar factory in square feet, we need to convert the given measurements from inches to feet. Since there are 12 inches in a foot, we can divide both dimensions by 12 to convert them.
The length of the model in feet is 30 inches / 12 = 2.5 feet, and the width is 52 inches / 12 = 4.33 feet.
To find the floor area, we multiply the length by the width:
Area = Length × Width
= 2.5 feet × 4.33 feet
= 10.825 square feet
It's important to note that the given measurements are not a standard aspect ratio or scale for a sugar factory. The given dimensions may be scaled down for the model's convenience, so the calculated floor area is only applicable to the scale of the model.
In actuality, a sugar factory would have much larger dimensions.
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The function f(x) is graphed on the coordinate plane.
What is f(−4)?
Enter your answer in the box.
f(−4) =
Answers
Answer:
On the graph when x is -4, y is 4. So f(-4)=4.
:)
For a card trick, Barry is using 18 cards from a deck. If each suit he uses has 4 numbered cards and c face cards, which expression shows how many suits he is using? A. 18 ÷ (4 + c) B. 18 × 4 + c C. 18 ÷ 4 + c D. 18 × (4 + c)
Answers
A. 18 ÷ (4 + c).
If each suit has 4 numbered cards and c face cards, then there are a total of 4 + c cards in each suit.
To find out how many suits Barry is using, we need to divide the total number of cards he is using (18) by the number of cards in each suit (4 + c).
Therefore, the expression that shows how many suits Barry is using is 18 ÷ (4 + c).
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question 2 a supervisor asks a junior data analyst to present two hypotheses regarding a data analytics project. what is the purpose of a hypothesis? 1 point to describe methods to theorize about data to introduce findings to summarize data
Answers
Hypotheses are used to make predictions about data. They help identify what the data analyst wants to confirm or disprove.
Supervisor asks Junior Data Analyst to present her two hypotheses for a data analysis project.
We must explain the purpose of your hypothesis.
In other words, a type of statistical inference called
hypothesis testing uses data from a sample to infer population parameters or population probability distributions. First, an educated guess is made about the parameter or distribution.
Here, the hypothesis goal is to make inferences about the
data. Data analysts use them to decide what to prove or disprove.
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i will mark brainliest how do i solve for 5+3x<50?
Answers
Answer:
x<15
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
3x+5<50
Step 2: Subtract 5 from both sides.
3x+5−5<50−5
3x<45
Step 3: Divide both sides by 3.
3x /3 < 45 /3
Select the correct answer. Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x + 7? A. It is the graph of y = x translated 7 units up. B. It is the graph of y = x where the slope is increased by 7. C. It is the graph of y = x translated 7 units down. D. It is the graph of y = x translated 7 units to the right.
Answers
Answer:
choice a is correct i beleive
Step-by-step explanation:
What are the appropriate values of n and r ?
Answers
The appropriate values of n and r for this problem would be n = 40 and r = 4, respectively.
To solve this problem, we can use the permutation formula, which is nPr, where n represents the total number of objects, and r represents the number of objects we want to arrange in a specific order.
In this case, n would be equal to the total number of members in the student government, which is 40, and r would be equal to the number of positions we need to fill, which is 4.
Using the permutation formula nPr, we can calculate the number of ways we can arrange the 40 members of the student government into the four positions.
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1. (08.01 MC)
The graph shows two lines. A and B
Answers
Answer:
Part A:
A pair of linear equations can only have one solution or infinitely many solutions. In this case, there would only be one solution as they intersection at only one point.
Part B:
The solution would be (3, 4) because it is the point of intersection between the two linear lines.
A reaction with a calculated yield of 9.23 g produced 7.89 g of product. What is thepercent yield for this reaction?
Answers
The required percentage yield for the reaction when theoretical yield and actual yield are given is calculated to be 85.5 %.
The maximum mass that can be generated when a particular reaction occurs is referred to as theoretical yield.
Theoretical yield is given as mt = 9.23 g
The actual amount of product recovered is given as ma = 7.89 g
We must comprehend that in order to calculate the reaction's percent yield, we must divide the total amount of product recovered by the utmost amount that can be recovered. If we multiply by 100%, we can represent this fraction as a percentage.
Percentage yield = ma/mt × 100 = 7.89/9.23 × 100 = 85.5 %
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b-a-n-a-n-a-s bananaanaananaananannanannananaanannana HELP ME PLZ
Answers
Answer:
Line Graph
Step-by-step explanation:
It would be the clearest to display the information. You could see how much money you made per year the easiest.
Answer:
a line graph
Step-by-step explanation:
it would be able to display the information provided and actually make sense, while the others would be more difficult to show on the graph.
Henry bought a new car for $22,568
The car had a sales tax of 4%
What is the sales tax for the car in dollars and cents?
A) $843.63
B) $865.21
C) $881.52
D) $402.72
E) $924.53
F) None of the above
Answers
Answer:
The answer is F) none of the above. The correct sales tax is $902.72
Step-by-step explanation:
help me pleasee, my brain won't work
Answers
The given fractions have equal value, so Liam is correct.
How to find the equivalent fractions?Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.
Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.
Thus, we can say that:
The fraction -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.
The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient
The fractions have equal value, so Liam is correct
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Procter and Gamble (PG) paid an annual dividend of $2.95 in 2018. You expect PG to increase its dividends by 7.4% per year for the next five years (through 2023), and thereafter by 2.6% per year. If the appropriate equity cost of capital for Procter and Gamble is 8.6% per year, use the dividend-discount model to estimate its value per share at the end of 2018.
Answers
The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.
To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.
First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:
Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22
After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)
where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.
In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:
PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.
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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.
To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:
Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22
After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.
In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.
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Determine whether the ordered pair \( (2,7) \) is a solution of the equation \( 9 x-y-11=0 \). The ordered pair IS NOT a solution The ordered pair IS a solution
Answers
The ordered pair (2, 7) is a solution to the equation 9 x-y-11=0.
To determine whether the ordered pair (2, 7) is a solution of the equation 9x - y - 11 = 0.
we substitute the values of x and y from the ordered pair into the equation and check if it satisfies the equation.
Given ordered pair: (2, 7)
Substituting x = 2 and y = 7 into the equation:
9(2) - 7 - 11
= 18 - 7 - 11
= 18 - 18
= 0
Since the equation holds true when the values of x and y are substituted, the ordered pair (2, 7) is a solution of the equation 9x - y - 11 = 0.
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Two number cubes are rolled. Each number cube is labeled 1 through 6.
What is the probability that both number cubes will land on 1?
Answers
Step-by-step explanation:
Probabibility = 1/6 * 1/6 = 1/36 = 2.77%.
89.2 divided by 0.8=
Answers
Answer:
111.5 is the answer, so yeah
Answer:
0.8=8×10^-1
89.2=892×10^-1
892×10^-1/8×10^-1
=111.5
54:56
Which table shows a constant of proportionality of 2 for the ratio of string instruments to percussion instruments?
String
2
4
B
Percussion
3
6
9
String
2.
4
6
Percussion
5
10
15
String
2
4
6
Percussion
1
2
3
String
2
4
B
Percussion
4
8
12
Mark this and return
Save and Exit
Next
Sub
Answers
Answer:
String
2.
4
6
Percussion
5
10
15
Step-by-step explanation:
What is the percent of change in the cost of a DVD set that originally sold for $49.99 and is now
on sale for $24.99? Round to the nearest percent.
Answers
Answer:
50% decrease
Step-by-step explanation:
49.99 - 29.99 = 25
25
---- = 0.5(100) = 50%
49.99
Answer: I dont know witch one you want me to round so I will do both. $49.99 = $50.00 and $24.99 = $25.00 and if you want to add them it would be $75.00
allen and ben are painting a fence. the ratio of the amount of work allen does to the amount of work ben does is $3:5$. if the fence requires a total of $240$ square feet to be painted, how many square feet does ben paint?
Answers
The fence Ben paints is 150 square feet.
Given:
ratio of the amount of work allen does to the amount of work ben does is 3:5
allen : ben = 3:5
total work done in ratio = 3 + 5 = 8
Count the fence Ben paints
Since , fence requires a total of 240 square feet to be painted
Thus, ben = ratio of ben/ total ratio × total of works
ben = 5/8 × 240
ben = 1,200/8
ben = 150
Hence , The fence Ben paints is 150 square feet .
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A scientist looks at bacterium and in a virus in a lab the bacterium has a diameter of 10-6 meters. The virus has a diameter of 10-7 meters
Answers
Ok so what's the question
Answer:
The diameter of the bacterium is 10 times greater than that of the virus.
Step-by-step explanation:
Edge
Based on the family the graph below belongs to, which equation could represent the graph?
y=2^x+3
y=log(2x)+3
y=2x² +2
y=1/2x+2
Answers
Given that 1 inch = 2.54 cm, how many centimeters are there in 7 feet? Answers may be written using decimals form and should be rounded to the nearest hundredth when necessary
Answers
Answer:
There are 213.36 centimeters in 7 feet.
Step-by-step explanation:
It is given that:
1 inch = 2.54 cm
We have to find centimeters in 7 feet.
We will convert feet to inches.
1 feet = 12 inches
7 feet = 12*7 = 84 inches
Now,
1 inch = 2.54 cm
84 inches = 2.54 * 84
84 inches = 213.36 cm
Therefore,
There are 213.36 centimeters in 7 feet.
I will fail if i dont pass this test plzz helpp
Answers
Answer:
Step-by-step explanation:
312 divied by 12=26 so..
Algebra For all values of x find a in terms of c. (Q 14)
Answers
Answer:
a= (bx -b -2c)/ 5x
Step-by-step explanation:
(5a-b)x +b +2c = 0
To find a in terms of c, will isolated a on one side of the equation
5ax -bx +b +2c = 0 , we distribute x in parenthesis
5ax = bx -b -2c , move the terms that do not have a on the other side of the equation with changed sign
a = (bx -b -2c)/ 5x , divide both sides by 5x
Please hurry Describe this graph
Answers
The happening in the graph is that the speed of the roller skater increases and decreases with time
How to interpret the graphFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following axes
x-axis = Time
y-axis = Speed
The x-axis is continually increasing while the y-axis decreases and increases (as in a sine function)
This means that the speed increases and decreases with time
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2) Complete the table for the following piecewise function:
6x + 7 for x < 0
2x² - 4 for x ≥0
x
-3
-2
Which piece is quadratic?
-1
f(x) =
0
1
1.5
√√3
√5
3
Answers
Answer:
Step-by-step explanation:
the second because it has the squared sign most quadratic equations have squarred symbols
A ball is thrown straight up into the air, 8 ft to a right of a house, which is represented by the origin on the coordinate plane. For which values of A, B, and C will Ax + By = C represent the line that includes the path of the ball, where x is the horizontal distance and y is the vertical distance, in feet, from the house?
Answers
The required values are A = 1, B = 0, and C = 8 because the equation for the thrown ball's path will be x = 8.
Let the vertical line be the y-axis and the horizontal line be the x-axis, the ball is thrown from a place that is parallel to the y-axis (8,0).
Because the house is the starting point and the ball is thrown from a position 8 feet to the right of the house,
As a result, the equation for the thrown ball's path will be x = 8.
Therefore, A = 1, B = 0 and C = 8.
Hence, the required values are A = 1, B = 0, and C = 8 because the equation for the thrown ball's path will be x = 8.
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Riemann hypothesis, explain please.
Answers
Answer:
The Riemann Hypothesis states that all non trivial zeros of the Riemann zeta function have a real part equal to 0.5. ... The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.
Step-by-step explanation:
On January 29, 2019, Australian authorities confiscated 157.7 kilograms of heroin with an estimated street value of 77 million AUD (Australian dollars). The exchange rate at the time was 1 USD = 1.42 AUD. Based on this information, what was the value in U.S. Dollars per pound for the heroin? Round your answer to the nearest thousand dollars.
Answers
Answer: $343849
Step-by-step explanation:
Since the exchange rate at the time was 1 USD = 1.42 AUD, therefore we will convert 77 million AUD to dollars which will be:
= 77 million / 1.42
= $54.225 million
Therefore, the value in U.S. Dollars per pound for the heroin will be:
= $54.225 million / 157.7
= $343849 pee pound