The values that belong to the solution set are [tex]\(-3\), \(-6\), and \(-4\)[/tex]
To solve the inequality[tex]\(9 \leq 6 - y\)[/tex], we need to isolate the variable \(y\). Let's do this step by step:
1. Subtract 6 from both sides of the inequality:
[tex]\[9 - 6 \leq 6 - 6 - y\][/tex]
[tex]\[3 \leq -y\][/tex]
2. To isolate [tex]\(y\)[/tex], multiply both sides by -1. Remember, when you multiply or divide by a negative number, the direction of the inequality sign reverses:
[tex]\[-1 \cdot 3 \geq -1 \cdot (-y)\][/tex]
[tex]\[-3 \geq y\][/tex]
Now, we have [tex]\(y \leq -3\).[/tex]This inequality states that any value of [tex]\(y\) t[/tex]hat is less than or equal to -3 is a solution.
Let's check each given value to see if it satisfies the inequality:
[tex]- \(0 \): \(0 \nleq -3\) (False)[/tex]
[tex]- \(3 \): \(3 \nleq -3\) (False)[/tex]
[tex]- \(-3\): \(-3 \leq -3\) (True)[/tex]
[tex]- \(-1\): \(-1 \nleq -3\) (False)[/tex]
[tex]- \(-6\): \(-6 \leq -3\) (True)[/tex]
[tex]- \(6\): \(6 \nleq -3\) (False)[/tex]
[tex]- \(-4\): \(-4 \leq -3\) (True)[/tex]
The values that belong to the solution set are [tex]\(-3\), \(-6\), and \(-4\).[/tex]
In conclusion, the solution set of the inequality [tex]\(9 \leq 6 - y\) is \(y \leq -3\),[/tex] and the values from the given options that belong to this solution set are [tex]\(-3\), \(-6\), and \(-4\).[/tex]
Completed question:
Select all the values that belong to the solution set of 9 ≤ 6 - y.
0,3,-3,-1,-6,6,-4.
The graph below shows the price of different numbers of hats at a store:
A graph is shown. The values on the x-axis are 0, 2, 4, 6, 8, 10. The values on the y-axis are 0, 13, 26, 39, 52, and 65. Points are shown on ordered pairs 0, 0 and 2, 13 and 4, 26 and 6, 39 and 8, 52. These points are connected by a line. The label on the x-axis is Number of Hats. The title on the y-axis is Price in dollars.
Which equation can be used to determine p, the cost of h hats? (1 point)
h = 6.50p
p = 13h
p = 6.50h
h = 13p
p=6.50h yeah ur welcome
least to greatest 3/2,0.25,-3/4,-1.0
One of your friends gives you $10 for a charity walkathon. Another friend gives you an amount per mile. After 5 miles, you have raised $13.50 total. Write an equation that represents the amount y of money you have raised after x miles.
The initial amount given is $10, this represents a constant
Now another friends is willing to give an amount which is not fixed, hence it is dependent on the amount if miles we walk
Let this variable amount be x
We have walks 5 miles in total
We have raid is 13.5 total amount
Therefore he expression to represent the total amount we have made is given as
10+5x= 13.50
Let us solve for x
subtract 10 from both sides we have
5x= 13.5-10
5x= 3.50
divide both sides by 5 we have
x = 3.5/5
x= 0.7
Hence our friend gives us $0.7 per mile
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luci cuts a board that is 3/4 yard long into pieces that are 3/8 yard long how many does she cut
Answer: She cuts 2 pieces
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Length of the board: 3/4 yard Length of the pieces: 3/8 yardSo, to calculate the number of pieces we have to divide the length of the board (3/4) by the length of each piece (3/8)
Mathematically speaking:
3/4 ÷ 3/8 = (3x8) /(4x3)=24/12= 2 pieces
Feel free to ask for more if needed or if you did not understand something.
A lollipop factory used 74.75 kilograms of sugar to make 2 batches of lollipops.how much sugar did the factory put in each batch? (Tape diagram)
Each batch of lollipops contains 37.375 kilograms of sugar.
Here, we have to represent the given information using a tape diagram, we'll draw two rectangles, each representing a batch of lollipops.
The total amount of sugar used, which is 74.75 kilograms, will be divided equally between the two batches.
Now, draw the tape diagram:
Batch 1: [----] (to be determined)
Batch 2: [----] (to be determined)
Now, we know that the total amount of sugar used is 74.75 kilograms.
We need to divide this amount equally between the two batches.
Since there are two batches, we can divide the total sugar by 2 to find the amount of sugar in each batch:
74.75 kilograms / 2 = 37.375 kilograms
So, each batch of lollipops contains 37.375 kilograms of sugar.
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what is 0.279 times 53
Final answer:
To calculate 0.279 times 53, multiply 279 by 53 and then place the decimal point three places from the right of the product, resulting in 14.787. If rounding to two decimal places, the answer is 14.79.
Explanation:
To find the product of 0.279 times 53, we can follow the usual multiplication process. We multiply as if there were no decimal places, and then we count the total number of decimal places in both numbers to place the decimal in the correct position in the final answer.
0.279 has three decimal places, and 53 has none. After you multiply 279 by 53, count three places from the right of the resulting number to place the decimal point. So, if 279 times 53 equals 14787, then 0.279 times 53 equals 14.787.
Applying the rules of rounding, if we wanted to round the result to two decimal places we would get 14.79 since the third decimal place is a 7 which rounds up the second decimal place from 8 to 9.
If one-third of a number is greater than five less than twice the number, which of the following is true? x < 3, x > -3, x > -3/5, x < 3/5
Answer: The correct option is
(A) x < 3.
Step-by-step explanation: Given that one-third of a number is greater than five less than twice the number.
We are to select the inequality that is TRUE.
Let the required number be represented by x.
Then, according to the given information,we have
[tex]\dfrac{1}{3}x>2x-5\\\\\\\Rightarrow x>3(2x-5)\\\\\Rightarrow x>6x-15\\\\\Rightarrow x-6x>-15\\\\\Rightarrow -5x>-15\\\\\Rightarrow 5x<15~~~~~~~~~~[\textup{since }-a>-b~~~\Rightarrow a<b]\\\\\Rightarrow x<\dfrac{15}{5}\\\\\Rightarrow x<3.[/tex]
Thus, the true statement is x < 3.
Option (A) is CORRECT.
The table shows the shipping costs for items of different values.
Which best describes the strength of the model?
a weak positive correlation
a strong positive correlation
a weak negative correlation
a strong negative correlation
Answer:
A strong positive correlation
Step-by-step explanation:
Since the dependent variable increases as the independent variable increases, this is a positive correlation.
Plotting these points, we can see that they form a nearly straight line. This makes it a strong correlation.
A strong positive correlation best describes the strength of the given model. So, option B is correct.
What is the correlation coefficient?The correlation coefficient is used to measure the strong relationship between the two variables.
The formula for the correlation coefficient
[tex]r= \frac{n(\sum xy)-(\sum x)(\sum y)} {\sqrt{ {[n\sum x^2-(x)^2] [n\sum y^2-(\sum y)^2]}}}[/tex]
We need to calculate the correlation coefficient and then make a conclusion about its value.
Form a table as shown where x is the cost of items and y is the shipping cost. The table becomes
x y XY x² y²
25 5.99 149.8 625 35.9
45 8.99 404.6 2025 80.8
50 8.99 449.5 2500 80.8
70 10.99 769.3 4900 120.8
190 34.96 1773.2 10050 318.3
The formula for the correlation coefficient
[tex]r= \frac{n(\sum xy)-(\sum x)(\sum y)} {\sqrt{ {[n\sum x^2-(x)^2] [n\sum y^2-(\sum y)^2]}}}[/tex]
where n=4
[tex]= \frac{ 4(1773.2)-(190)(34.96)} {\sqrt{{[4(10050)-190^2] [4(318.3)-34.96^2]}} }[/tex]
r[tex]=\frac{450}{4100\times51}[/tex]
r = 450 / √209100
r = 450/457.3
r = 0.98409
Thus, The value of r indicates a stronger positive correlation.
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Use the interactive tool to graph the line given the following information:
coordinates (1,–3)
slope of –2
Based on your investigation, what is the value of b for the point (0,b)?
Answer:
B= -1
Step-by-step explanation:
Evaluate the expression when y = 4. 5 + y + 8 A. 72 B. 21 C. 17 D. 13
Answer: its c
Step-by-step explanation:
5+4=9 9+8=17
b. What is the probability that the mean price for a sample of 50 H&R Block retail customers is within $8 of the population mean?
The mean tax-return preparation fee H&R Block charged retail customers last year was $183 (The Wall Street Journal, March 7, 2012). Use this price as the population mean and assume the population standard deviation of preparation fees is $50.
Round your answers to four decimal places.
a. What is the probability that the mean price
for a sample of 30 H&R Block retail customers is within $8 of
the population mean?
b. What is the probability that the mean price
for a sample of 50 H&R Block retail customers is within $8 of
the population mean?
how to solve it along with answer please
(2n−9)−5(−2.4n+4) find the difference
Answer:
Simplified Expression: 14n - 29
Work
2n-9-5(-2.4n+4)
2n-9+12n-20
14n-9-20
12n-29
14n - 29
The difference as in the expression is; 14n - 29
To determine the difference;
We must first open the second parenthesis by multiplying through by its coefficient as follows;
5(−2.4n+4) = -12n +20.Afterwards; we have;
(2n−9)−(-12n +20)= 2n -9 + 12n -20= 14n - 29
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Jonah and his friends went to the movie theater. He bought a movie ticket, and he split the cost of a giant popcorn with his friends. Jonah's costs are represented by the expression 11+15x11+15x .
What do the different parts of the expression model?
Drag the parts of the expression into the boxes to match each description.
Cost of movie ticket Total cost of popcorn Jonah's portion of popcorn cost
15 x 15/x 11
Let
x--------> the number of friends
y-------->Jonah's costs
we know that
[tex]y=11+\frac{15}{x}[/tex]
where
The number of friends is -----------------------> [tex]x[/tex]
Cost of movie ticket is---------------------------> [tex]\$11[/tex]
Total cost of popcorn is-------------------------> [tex]\$15[/tex]
Jonah's portion of popcorn cost------------> [tex]\frac{\$15}{x}[/tex]
Answer:
Cost of movie ticket----- 1
Total cost of popcorn----- 15
Jonah's portion of popcorn cost------ 15/x
Step-by-step explanation:
The cost of the Jonah's costs are represented by the expression :
11+15\x
Now we have to match the expression to the explanation that they denote.
Let x be the number of friends among whom the pop-corn cost has to splitted.
As the total cost of popcorn is: 15
Hence, Jonah's portion of pop-corn is: 15/x
Also, he bought a movie ticket for 11.
Hence, the total cost that is paid by Jonah is: 11+15/x
24 divided by 689 show work
What is the result of converting 1500 yards into miles? Remember that 1 mile =1760 yards
1500 yards = 0.8523 miles.
To convert 1500 yards into miles:
Given: 1 mile = 1760 yards
Divide 1500 yards by 1760 yards to find the equivalent in miles:
1500 yards ÷ 1760 yards = 0.8523 miles
the center of the circle that can be circumscribed about a scalene triangle is located by constructing the
Answer:
Circumcenter.Step-by-step explanation:
A circumscribed circle can be defined as a circle which passes throguth all three vertices of a triangle.
To construct a circumscribed triangle, first, we need to construct the circumcenter of the triangle, which is the intersection point of its all three perpendicular bisectors. Such point of intersection has equal distance to all three vertices.
Therefore, the word missing here is circumcenter.
draw the following scenario using a vertical number line.
mary climbed up a ladder 24 feet to the second story of her house. she then climbed back down
Final answer:
To draw Mary's ascent and descent on a ladder, create a vertical number line from 0 to 24 feet to signify the height of the second story, then illustrate arrows for the ascent and descent.
Explanation:
To visualize Mary's movement on a ladder, we will draw a vertical number line. Let's assume the bottom of the ladder is at 0 feet. We will draw a number line up to 24 feet to represent the height Mary climbs to reach the second story of her house. Then, since Mary climbed back down, we would show her descent back to 0 feet. Here is how you can draw the scenario:
Start with a vertical line.Mark the bottom as 0 feet (this is where Mary starts and finishes).Mark a point at 24 feet (this is where the second story of her house is).Draw an arrow pointing up from 0 to 24 to represent Mary climbing up.Draw an arrow pointing down from 24 back to 0 to represent Mary climbing down.By following these steps, you will have a clear representation of Mary climbing up and down her ladder on a vertical number line.
For a given input value q, the function f outputs a value r to satisfy the following equation. 11q-4=3r-6, Write a formula for f(q) in terms of q
Final answer:
To find the formula for f(q), solve the equation 11q-4=3r-6 for r. The steps include adding 6 to both sides and then dividing by 3, resulting in f(q) = (11q + 2) / 3.
Explanation:
To write a formula for f(q) in terms of q, we need to solve the equation 11q - 4 = 3r - 6 for r, the output of the function f. First, we add 6 to both sides to isolate the terms with r on the right side of the equation:
11q - 4 + 6 = 3r - 6 + 6
11q + 2 = 3r
Next, we divide both sides by 3 to solve for r:
(11q + 2) / 3 = 3r / 3
(11q + 2) / 3 = r
Therefore, the formula for f(q) is:
f(q) = (11q + 2) / 3
Lorraine writes the equation shown.
x² + y - 15 = 0
She wants to describe the equation using the term relation and the term function.
The equation represents,
A relation and a function
A relation but not function
A function but not a relation
Neither a relation nor a function
Josh's chicken soup recipe calls for 2 1\2 L of chicken stock. Josh makes 3 1\4 times the recipe for a family reunion. How much chicken stock does Josh use to make soup for the family reunion? Express your answer as a mixed number in the simplest form.
Answer:
[tex]8\frac{1}{8}[/tex] L
Step-by-step explanation:
A recipe of chicken soup calls for chicken stocks = [tex]2\frac{1}{2}[/tex] L
Josh makes [tex]3\frac{1}{4}[/tex] times the recipe
= [tex]3\frac{1}{4}[/tex] × [tex]2\frac{1}{2}[/tex]
= [tex]\frac{13}{4}[/tex] × [tex]\frac{5}{2}[/tex]
= [tex]\frac{65}{8}[/tex]
= [tex]8\frac{1}{8}[/tex]
Josh would use [tex]8\frac{1}{8}[/tex] L of chicken stocks.
How many times greater is the value 34.3 than the value 3.43? Explain your thinking
hey test was passed by 90% of the class if 27 students passed the test how many students were in the class?
The dimension of a community garden are such that the length is 7 feet shorter than 5 times the width. Which equation models the area, in square feet, of the community garden in terms of its width, w?
a. A=w(5w-7)
b. A=w(7w-5)
c. A=5w(w-7)
d. A=7w(w-5)
50 POINTS FOR THE PERSON THAT ANSWERS CORRECTLY!!!!!!! Translate these coordinates 3 units to the right and then rotate 180 around the origin.
Help me plssss understanddddd thisssss pleaseeeee
How does radiation transfer thermal energy from the Sun to Earth?
If you have stood in front of a fireplace or near a campfire, you have felt the heat transfer known as radiation. The side of your body nearest the fire warms, while your other side remains unaffected by the heat. Although you are surrounded by air, the air has nothing to do with this transfer of heat. Heat lamps, that keep food warm, work in the same way. Radiation is the transfer of heat energy through space by electromagnetic radiation.
Answer:
Radiation transfers thermal energy from the Sun to Earth by electromagnetic waves. Electromagnetic waves can transfer energy with or without matter.
Step-by-step explanation:
-19=2w+9-6w
simplify your answer as much as possible.
w=___
Two trains leave the station at the same time one heading east and one heading west the eastbound train travels 80 miles per hour The westbound train was traveling 100 miles per hour how long will it take for the two trains to be 396 miles apart?
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