The value of y on the number line is 4.
How to find the side of a number line?A number line is a series of numbers placed on a straight line in order from least to greatest.
The number line is RT.
The point S is in between RT.
Therefore,
RT = RS + ST
Hence,
RT = 67
RS = 9y + 3
ST = 5y + 8
Therefore,
RT = RS + ST
67 = 9y + 3 + 5y + 8
67 = 9y + 5y + 11
67 = 14y + 11
subtract 11 from both sides of the equation
67 = 14y + 11
67 - 11 = 14y + 11 - 11
56 = 14y
divide both sides by 14
y = 56 / 14
Therefore,
y = 4
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What’s 4 divided by 6/5?
Answer:
10 / 3
Step-by-step explanation:
4 divided by 6/5
4 / 6 / 5
4 ÷ 6 / 5
4 × 5 / 6
20 / 6
10 / 3
The value of 4 divided by 6/5 is 10/3 .
Given,
4/ (6/5)
Here,
The whole number is divided by fraction , so the denominator of the fraction will be multiplied from the whole number and the resultant will be divided by the numerator.
So,
4 divided by 6/5
4 / 6 / 5
4 ÷ 6 / 5
4 × 5 / 6
20 / 6
10 / 3
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Jamie is planning on dropping a ball down from a tall building to measure its velocity. In the process, she also wants to know how tall the building is. She uses a weird measuring tool that finds that the ball traveled -700 feet. She doesn’t know how to translate this into an answer she and her teacher will understand. What can she do?
She can translate the measurement into metric unit system of "meters" for her and her teacher to understand better.
As per the question statement, Jamie dropped a ball down from a tall building to measure its velocity and the height of the building, and she used a weird measuring tool that gave a measurement the ball traveled "-700" feet.
We are required to provide a solution on how Jamie can translate this measurement so that, she and her teacher can understand it better.
To solve this question, we will simply ignore the "negative" sign that came along with the measurement, and convert the magnitude of the measured value into the metric unit system of meters, using the standard conversion rate of [1 foot = 0.305 meters], i.e.,
700 feet = (700 * 0.305) meters,
or, 700 feet = 213.5 meters.
Hence, the ball travelled 213.5 meters when dropped from the top of building, or, the height of the building is 213.5 m.
Metric Unit System: It is the decimal measuring system, based on the meter, liter, and grams as units of length, capacity, and weight or mass, which was first proposed by the French astronomer and mathematician Gabriel Mouton (1618–94) in 1670 and standardized in Republican France in the 1790s.To learn more about the Metric Unit System, click on the link below.
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Under his cell phone plan, Carlos pays a flat cost of $57 per month and $5 per
gigabyte. He wants to keep his bill under $65 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Carlos
can use while staying within his budget.
Answer:
57 + 5x < 65
Step-by-step explanation:
57 + 5x < 65
5x < 8
x < 1.6
(a) according to the line of best fit, what would be the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours?
according to the line of best fit, the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes
according to the line of best fit, what would be the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours?
1 hour = 60 minutes
46 hour = 46*60= 2760 minutes
in one year total number of days =365 days
in 365 days spent on project= 2760 minutes
per day spent on project = 2760/365
= 7.56minutes
Hence according to the line of best fit, the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes
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SOLVE FOR X.
PLS HURRY
In this question we have 3 lines, where 2 parallel lines intersect the other.
Now, because the 2 lines are parallel, their corresponding angles are congruent. Therfore, we can derive the equation:
[tex]2x-43 = x+9[/tex]
First, we need to move 43 to the right side.[tex]2x = x+9+43[/tex]
Next, we add 9 and 43.[tex]2x = x+52[/tex]
Then, we move x to the left side.[tex]2x-x = 52[/tex]
Finally, we subtract the left side.
[tex]x = 52[/tex]
A boy spent 1/2 of his money for a book, and 1/3 of his money for a pen. the remaining 2.25 dollars he saved. how much money did he have originally?
Answer:
13.5
Step-by-step explanation:
One gram of protein contains 4 calories. One gram of fiber contains 2 calories. A protein bar has 80 calories from p grams of protein and f grams of fiber.
The equation 4p+2f=80 represents the relationship between these quantities.
Which pair of values could be the number of grams of protein and fiber in the protein bar?
Pairs of values that could be the number of grams of protein and fiber in the protein bar are:
10 grams of protein and 20 grams of fiber. That is, (10, 20)
and
15 grams of protein and 10 grams of fiber. That is, (15, 10)
Calculating value pairsFrom the question, we are to determine the pair of values that could be the number of grams of protein and fiber in the protein bar
From the given information,
The protein has 80 calories from p grams of protein and f grams of fiber
and
The equation that represents the relationship is
4p + 2f = 80
To determine the pair of values, we can determine the values of f for certain values of p
When p = 10
4p + 2f = 80
4(10) + 2f = 80
40 + 2f = 80
2f = 80 - 40
2f = 40
f = 40/2
f = 20
A pair of values is 10 grams of protein and 20 grams of fiber.
When p = 15
4p + 2f = 80
4(15) + 2f = 80
60 + 2f = 80
2f = 80 - 60
2f = 20
f = 20/2
f = 10
Thus,
Another pair of values is 15 grams of protein and 10 grams of fiber.
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PLEASE HELP will give BRAINLIEST
What is the domain for the exponential function f (x) = –4log(x + 2)?
Answer:
The domain for this function is all real numbers greater than -2.
A baker uses 1 1\2cups of flour to make 12 cupcakes. How much flour does the baker use to make 288 cupcakes?
Solve for value of x which makes line m and n parallel
Work out the surface area of the cylinder where the radius is 7 and the height is 12
Answer
625.52(pie)
Step-by-step explanation:
Solve the equation.
p - 132 = 7, p = ______
Answer:
139
Step-by-step explanation:
Add 132 to both sides, so it will cancel out on the left side and you are left with only p.
[tex]p - 132 + 132 = 7 +132\\p = 139[/tex]
find the distance between A(7, 10) and B(9,-3). Write your answer as a radical and as a decimal rounded for nearest ten.
A(7,10) and B(9,-3) are separated by 13.1 units.
How to calculate distance between two points?
The separation between two points the coordinates of two points in space are used in the formula. In coordinate geometry, a two-dimensional or three-dimensional space can be used to calculate the distance between two points using the distance formula. The Pythagoras theorem is sometimes used to calculate the distance between two places.
The distance between two locations on a plane is the length of the line segment connecting them. The following equation is frequently used to determine the separation between two points:
d = √[(x₂-x₁)² + (y₂-y₁)²] -- (i)
Given, the two points are A≡(7,10) and (9,-3)
On comparing A and B with (x₁, y₁) and (x₂, y₂) respectively, we get
x₁ = 7, y₁ = 10, x₂ = 9, y₂ = -3
Therefore using the formula in (i), we get
Distance between A & B = √[(9-7)²+(-3-10)²] = √173 = 13.15 = 13.1 units
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An apartment building owner charges $905 to each apartment for rent month if the building is currently renting 64 apartments how much money does the building owner collect in each month?
Answer: 57920 per month
Step-by-step explanation: 905 x 64 = 57920
If the right triangle BAR were rotated 90° clockwise about Point B to what location would point A be relocated
Using rotation rules, considering the 90º clockwise rotation, the coordinates of point A are given as follows:
(-2,0).
What is the rule for a 90º clockwise rotation at a point other than the origin?The origin has coordinates (0,0), hence the rule for a 90º clockwise rotation about the origin is:
(x,y) -> (y, -x).
Considering a point (xP, yP) as reference, the rule for the coordinates of the vertices after the rotation is given as follows:
(x,y) -> (y - yP, -x + xP).
For this problem, point B is the reference point, hence the reference coordinates are as follows:
xP = 2, yP = 1.
Then the rule is:
(x, y) -> (y - 1, -x + 2).
Point A is located at:
x = -2, y = -1.
After the rotation, the coordinates will be given as follows:
(x, y) -> (-1 - 1, -2 + 2) = (-2,0).
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if RS = ST and ST = 2UV then RS = 2UV
It is true given the above logical analysis to state that RS = 2UV. This is known as a conditional statement also known as an If-then-statement.
What is a conditional statement?A conditional statement (also known as an If-Then Statement) is a statement that begins with a hypothesis and ends with a conclusion.
A conditional statement can also be defined as "If this happens, then that will happen." A conditional statement's hypothesis is the first, or "if" element. While the "Then" is the Conclusion.
Hence, the hypothesis from the above statement is:
IF RS = ST and ST = 2UV [Hypothesis]
Then RS = 2UV [Conclusion]
Put differently we can say
A → B and B→C; then
A → C.
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Consider the following graph of g(x). Write a formula for g(x) that describes the transformations performed on the basic function.
The formula for function g(x) that describes the transformations performed on the basic function f(x) = |x| is g(x) = - ( |x| + 4 )
As per the question statement, we are given a basic function f(x) = |x| and we are supposed to find the formula for function g(x) that describes the transformations performed on the basic function f(x) = |x|.
Solution is as follows:
Reflected about X - axis and translated 4 units down to X - axis.
Basic function y = |x| - 2
Transformed function g(x) = - ( |x| + 4 )
Reflected across y = -2
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Write a division expression that is equivalent to 8/15 x (- 3/5)
A local news station wants to find out opinions on the economy for their next broadcast. Which of the following describes how they could do this? Select all that apply.
Ask specific people's opinions on the economy
Ask a randomly selected people's opinions on the economy
Ask the members of the local news station about their opinions on the economy.
Ask every person that works in town opinions about their own economic impact
Ask the entire community opinions about their own economic impact
The ways that describes how they could gather the opinions include:
Ask a randomly selected people's opinions on the economy Ask the members of the local news station about their opinions on the economy.How will the opinion be illustrated?From the information, the local news station wants to find out opinions on the economy for their next broadcast.
It should be noted that in this case, a sample will be used and not the entire population. Therefore, they can ask randomly selected people's opinions on the economy as well as the members of the local news station about their opinions on the economy.
Therefore, the correct options are A and B.
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A
X -2
y
C
4
-1
1
−2
10. Construct an exponential equation for the data presented in the table.
y = 2 (1)x
y = 1. (2)x
y = 2.(x) ¹
y = 1. (x)²
B
0
1
D
1
2
2
4
Answer:
b
Step-by-step explanation:
put -2 on x and you will get a value of 1/4
(can use other number on table too but must got the same value of y)
example: use -1 for x and the answer must be 1/2
Which graph shows a set of ordered pairs that represents a function?
First graph.
Step-by-step explanation:A set of ordered pairs is a function if for every x value there is one y value. The set of ordered pairs functions if they pass the vertical line test. If a vertical line is drawn then the line will cut at only one point. In the first graph for all x values we have different y values so the ordered pairs represent a function.
How many times is 8 x 10 to the negative power of 5 larger than 2 x 10 to the negative power of 7
The number of times that 8 x 10 to the negative power of 5 larger than 2 x 10 to the negative power of 7 is 400.
How can the the number of times that is required to find?T calculate the number of times that 8* 10^- 5 larger than 2 *10 ^-7, then we will need to perform little division operation on the given numbers, since we know that 8* 10^- 5 larger than 2 *10 ^-7, then, the division will be :
( 8* 10^- 5 ) /( 2 *10 ^-7) = 400
This implies that the value of 8* 10^- 5 is larger than 2 *10 ^-7, in 400 folds.
Therefore, option C is correct.
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Develop a table of values for each equation. Find at least three ordered pairs for each one
1.y=x+4
2.y=3x-6
To develop a table of functions for the values we have
y = x + 4
x y
0 4
1 5
2 6
3 7
the ordered pairs (0, 4) (1, 5) (2, 6) (3, 7)
y = 3x - 6
x y
0 -6
1 -3
2 0
3 3
the ordered pairs (0, -6) (1, -3) (2, 0) (3, 3)
How to find the table of valuesy = x + 4
The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be 4, 5, 6, 7
y = 0 + 4 = 4
y = 1 + 4 = 5
y = 3x - 6
The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be -6, -3, 0, 3
y = 3(0) - 6 = 0 - 6 = -6
y = 3(1) - 6 = 3 - 6 = -3
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what is the sqr of 7-2sqrtof10
It is to be noted that the square root of 7-2√10 is √5-√2. See the explanation below.
What is the square of a number?It is to be noted that square root, in mathematics, refers to a factor of a number which when multiplied by itself, results in the original number. For example, both 3 and –3 are square roots of 9.
Hence the solution to the above expression or problem is given as stated below:
7-2√10 = 5 + 2 - 2 2√10
= (√5)² + (√2)² - 2(√5)(√2)
Hence
7-2√10 = (√5 - √2)²
√(7-2√10) = √5 - √2
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What is the truth value for the following conditional statement?
p: false
q: true
~q —> ~p
OFT F
OFT T
OTT T
OFF F
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(150)? (2 points)
This is the average number of days the house stayed on the market before being sold for $150,000.
The house sold on the market for $150,000 and stayed on the market for an average of 150 days before being sold.
The house sold for $150,000.
The house stayed on the market for an average of 150 days before being sold.
A statement which best describes the meaning of function f(150) is that: A. This is the average number of days the house stayed on the market before being sold for $150,000.
What is the average rate of change?The average rate of change can be defined as a type of function that is used for describing the average rate at which a quantity either decreases or increases with respect to another quantity.
What is a function?A function simply refers to a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable (x-value) to an output variable (y-value or f(x)).
In this scenario, the function f(150) can be evaluated as follows:
Function f(150) = 150 × p
Function f(150) = 150 × $1,000.
Function f(150) = $150,000
Therefore, the function f(150) simply means the average number of days this house stayed on the market before it was then sold for $150,000.
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WILL GIVE BRAINLIST TO BEST ANSWER
Determine if the sequence is arithmetic. If it is, find the common difference, the 21st term, the explicit rule, the recursive rule, and the three terms in the sequence after the last one given.
-3, 6, -12, 24,…
Answer:
This sequence is geometric with common ratio -2.
Is Simon’s work correct?
A dieter loses a total of 24 pounds over 6 months. The dieter uses the expression -24/6 to represent the average weight loss each month. which expression is equivalent to the expression the dieter uses?
The equivalent expression to the dieter's expression which is given as -24/6 is equal to -(24/6).
What are the three fractional signs?Every fraction has three signs: one for the numerator, one for the denominator, and one for the overall fraction.
A fraction can have what kind of sign?The fraction will always be negative if one of the numerators or denominators is negative and the other is positive.
It is given that a dieter loses 24 pounds in 6 months.
The dieter represents the average monthly weight loss with the expression -24/6.
We know that,
The negative sign in numerator can be assigned to the overall fraction.
So, we can write the expression (-24)/6 as -(24/6).
Therefore, the expression that is equivalent to the expression the dieter uses is -(24/6).
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For which value of x is 12/x not a rational number
0
0.1
2
-1/2
Because we can't divide by zero, the correct option is x = 0.
For which value of x the quotient is not a rational number?
Here we have the quotient:
12/x
We want to find a value of x such that it is not a rational number, where a rational number is any number that can be written as the quotient of two integers.
Here is a trick, remember that we can't divide by 0, so if we choose x = 0, technically we can't take the quotient, so in that case we wouldn't have a rational number.
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