You have the following equation of a line:
y = -2/3 x + 4
In order to sketch the graph of the given equation you can calculate the value of y for some values of x inside a definite interval. If you choose the interval (-3,3) for x, then the values of y in this interval will be:
y(-3) = (-2/3)(-3) + 4 = 6
y(-2) = (-2/3)(-2) + 4 = 16/3
y(-1) = (-2/3)(-1) + 4 = 13/3
y(0) = (-2/3)(0) + 4 = 4
y(1) = (-2/3)(1) + 4 = 10/3
y(2) = (-2/3)(2) + 4 = 8/3
y(3) = (-2/3)(3) + 4 = 2
summarizing, you have:
x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
y | 6 | 16/3 | 13/3 | 4 | 10/3 | 8/3 | 2 |
The following image is a graph of the function
3.
The Moy family budgeted $32,650 to remodel their kitchen. They spent
$43,987. How much more or less is the amount spent than the amount
budgeted?
A $11,337 more
B $11,337 less
C $17,887 more
D $17,887 less
Answer:
A
Step-by-step explanation:
43987-32650= 11337
And it’s more
A sample of restaurants in a city shows that the average cost of an appetizer is $6.32 with a standard deviation of $0.47. A brand new restaurant wants to get noticed by offering appetizers for a much lower price. To determine the lower price, should the formula use a z-value that is greater than or less than -1?
I couldn't figure out how to answer a specific question on the site, but the answer is "Less than -1" because they are looking for a price that is lower then the average, or mean price. It should be -1 standard deviation or lower.
Hope this helps someone
To determine the lower price, the formula should use a z-value that is less than -1.
How to utilize the z-value?We are given;
Mean; x' = $6.32
Standard deviation; s = $0.47
A positive z-score indicates the raw score is higher than the mean average while a negative z-score indicates the raw score is below the mean average.
Now, we want to find out the lower price from the definition above, we have to use a negative z-score which in this case will be -1.
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Every row and every column of this 3 x 3 square must contain
each of the numbers 1, 2 and 3.
What is the value of N + M?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
=========================================================
Reason:
We have "1" in the upper left corner and "2" in the direct middle. This means "3" goes to the left of the "2" since each row and column cannot use repeats. Just below that "3" will go "2".
In summary so far, the first column has 1, 3, 2 in that order when moving from top to bottom. Refer to the values in green in the diagram below.
For identical reasoning, the first row has 1, 3, 2 in that order when moving from left to right. These are the values in light blue.
Once the first row is filled out, we can determine the middle entry of the bottom row, which is "1" marked in pink. This item helps us determine that M = 3 which in turn leads to N = 1.
Therefore, N+M = 1+3 = 4 is the final answer.
Side note: This square has symmetry along the northwest diagonal
Sara has 6 gallons of milk. She uses 1/3 of the milk to make hot chocolate. Then, she uses 1/2 of the remaining milk to make cookies. How many gallons of milk does Sara have left after making hot chocolate and cookies?
2 gallons
3 gallons
4 gallons
5 gallons
Answer: 2 gallons
Step-by-step explanation:1/3 = 2 gallons which was already used and then 1/2 of the remaining was used which the remaining was 4 cutting it down to 2 therefore 2 gallons of milk are left
Evaluate 14(7) -d 2f when d = 2 and f = 4
Step-by-step explanation:
98 - 3 * 2 * 4 equal to 9 - 2 * 840 + 9 - 6 equal to -7
The evaluation of 14(7) -d 2f when d = 2 and f = 4 is 82.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given:
An expression,
14(7) -d 2f.
To find the value of the expression:
Substitute the given value of d and f.
When d = 2 and f = 4,
the equation is,
14(7) -(2)2(4)
= (14 x 7) - ( 2 x 2 x 4)
= 98 - 16
= 82
The evaluation of the equation when d = 2 and f = 4 is 82.
Therefore, the solution is 82.
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Riley is going to buy a television for $444.50 plus tax the sale for tax is 6.5%
How much will television cost with tax included
A. 447.39
B. 451.00
C.473.39
D.509.50
E.733.43
Answer:
C
Step-by-step explanation:
444.50 * 6.5% = 28.89
444.50 + 28.89 = 473.39
please answer asap please
A piano mover uses a ramp to move a piano into a house. The doorway to the house is 2 feet above the ground and the ramp starts 7 feet from the doorway. Assuming the ground is level and is perpendicular to the side of the house, what is the approximate length of ramp? You must round your answer to two decimal places.
HELPPPPPPPPPPPPPPPPPPPPP
Answer: b
Step-by-step explanation: graph b is correct hope it helps
f p(x) = x2 – 1 and q (x) = 5 (x minus 1), which expression is equivalent to (p – q)(x)?
5(x – 1) – x2 – 1
(5x – 1) – (x2 – 1)
(x2 – 1) – 5(x – 1)
(x2 – 1) – 5x – 1
The expression equivalent to (p - q)(x) is (x² - 1) - 5(x - 1).
What is expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
It is given that
p(x) = x² - 1
q(x) = 5(x - 1)
We have to find (p - q)(x)
We know that
(p - q)(x) = p(x) - q(x)
Substituting the values
= (x² - 1) - 5(x - 1)
Therefore, the expression equivalent to (p - q)(x) is (x² - 1) - 5(x - 1).
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Answer:
It is given that
p(x) = x² - 1
q(x) = 5(x - 1)
We have to find (p - q)(x)
We know that
(p - q)(x) = p(x) - q(x)
Substituting the values
= (x² - 1) - 5(x - 1)
Step-by-step explanation:
It would mean a lot to me If you help me with this
Answesr
just do quick math
Step-by-step explanation:
1 + 1 = 14
Answer:
4x - 9 = 23
x = 8
Step-by-step explanation:
(6 1/2+2 2/5 )+ 2 1/2 using properties of addition
4. Amy, Betty and Carol have 96 books altogether. Betty has 6 books less than Amy and Carol has half as many as Betty. How many books does each girl have?
The Amy has 42 books, Betty has 36 books, and Carol has 18 books.
Let's set up equations to represent the given information:
Let A represent the number of books Amy has.
Let B represent the number of books Betty has.
Let C represent the number of books Carol has.
Let's say Amy has x books.
Betty has 6 books less than Amy, so Betty has (x - 6) books.
Carol has half as many books as Betty, so Carol has (x - 6)/2 books.
According to the problem, the total number of books they have is 96.
So, we can write the equation:
x + (x - 6) + (x - 6)/2 = 96
To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:
2x + 2(x - 6) + (x - 6) = 192
2x + 2x - 12 + x - 6 = 192
5x - 18 = 192
5x = 210
x = 42
Amy has 42 books.
Betty has (42 - 6) = 36 books.
Carol has (36)/2 = 18 books.
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93,83,65,59,88,76,86,93,48,73,54,79
What is the percentage of these test scores that are less than 88?
Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 2 times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.
How to find the ratio of money ?According to the problem, two equations can be set up:
If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:
A + n = 7(B - n)
If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:
A - n = 2(B + n)
We can rearrange these equations to make them easier to solve:
8n = 7B - A
3n = A - 2B
Setting these equal to each other, since they are both equal to 24n, gives:
21B - 3A = 8A - 16B
37B = 11A
A / B = 37 / 11
= 3. 36
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What is the probability of getting an odd number total when two dice are rolled?
18/36
12/36
1/4
36/36
LCM =36
18/36×36 = 18
12/36×36 = 12
1/4×36 = 9
36/36 ×36 = 36
so it will be 1/4 since 9 is an odd number
a = 10, b = 24, c = _____
Answer:
c=26
Step-by-step explanation:
By using pythagoram thoerem
c^2=a^2+b^2
c^2=(10)^2+(24)^2
c^2=100+576
c^2=676
c=sqrt(676)
c=26
c=26
Which of the following ordered pairs is a solution to the inequality y>−2x+7?
Answer: x>-1/2y+7/2
Step-by-step explanation:
A pet shelter has 5 cats and 9 dogs write each ratioRatio of cats to all animalsRatio of dogs to cats
Given:
A pet shelter has 5 cats or 9 dogs.
Required:
Ratio of cats to dog, ratio of dogs to cats.
Explanation:
\(\begin{gathered} ratio\text{ of cats to animals=}\frac{cats}{total\text{ animal}} \\ \\ =\frac{5}{5+9}\text{ =}\frac{5}{14} \end{gathered}\)\(\begin{gathered} Ratio\text{ of dogs to cats=}\frac{dogs}{cats} \\ \\ =\frac{9}{5} \end{gathered}\)Required answer:
\(undefined\)
Aiden measured a campground and made a scale drawing. The scale of the drawing was 9 inches = 3 yards. What is the scale factor of the drawing?
Simplify your answer and write it as a fraction.
Answer:2/3
Step-by-step explanation: just divide them as a improper fraction
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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Please write equation for me as in y=mx+b thank you
Answer:
y = -50x + 500
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
Slope = rise/run or (y2 - y1) / (x2 - x1)
Pick 2 points (5,250) (7,150)
We see the y decrease by 100, and the x increase by 2, so the slope is
m = -100/2 = -50
Y-intercept is located at (0,500)
So, the equation is y = -50x + 500
line segment vw is congruent with line segment uw and angle x is congruen with angle z. prove triangle xwv is congruent with triangle zwu
△XWV and △ZWU are congruent by the SAS Congruency rule.
We are given two triangles, △XWV and △ZWU
The line segment VW is congruent with line segment UW
That is VW = UW
And ∠X = ∠Z
The sides corresponding to the equal angles are also equal,
So, XV = ZU
Thus, △XWV and △ZWU are congruent by the SAS Congruency rule, in which two sides and an angle are equal to equal other which makes the two triangles congruent.
The corresponding sides of the congruent triangles are always equal.
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Answer:
B
Step-by-step explanation:
Can someone help please please
Answer: A: (6, 5)
Step-by-step explanation:
When graphing a system of equations, you can find the solution by finding where the graphs intersect. In this case, the graphs intersect at (6, 5).
To verify that this is indeed a solution to the system of equations, we can substitute (6, 5) into both of the given equations:
\(y = \frac{1}{2}x + 2\)
\(5 = \frac{1}{2} * 6 + 2\)
\(5 = 3 + 2\)
\(5 = 5\)
\(y = x - 1\)
\(5 = 6 - 1\)
\(5 = 5\)
Since both equations hold true when plugging in the given coordinate (6, 5), we know that this is a solution to the system of equations.
The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consulting Inc. is repeated froFrequent Flier Miles (000) Frequency0 up to 3 53 up to 6 126 up to 9 239 up to 12 812 up to 15 2Total 50a. How many employees accumulated less than 3,000 miles?b. Convert the frequency distribution to a cumulative frequency distribution.c. Portray the cumulative distribution in the form of a cumulative frequency polygon.d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?
Answer:
a. How many employees accumulated less than 3,000 miles?
The number of employees accumulated less than 3,000 miles= 5
So the number of employees accumulated less than 3,000 miles is 5.
d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?
8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.
Step-by-step explanation:
The given frequency distribution representing the number of frequent flier miles accumulated by the employees in a company.
Frequent Flier Miles (000) Frequency
0 up to 3 5
3 up to 6 12
6 up to 9 23
9 up to 12 8
12 up to 15 2
Total 50
a. How many employees accumulated less than 3,000 miles?
The number of employees accumulated less than 3,000 miles= 5
So the number of employees accumulated less than 3,000 miles is 5.
b. Convert the frequency distribution to a cumulative frequency distribution.
We make the cumulative frequency distribution from the frequency distribution by adding up a frequency and all other frequencies below it.
Frequent Flier Miles Frequency Cumulative frequency
0 up to 3 5 5
3 up to 6 12 17
6 up to 9 23 40
9 up to 12 8 48
12 up to 15 2 50
Total 50
d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?
8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.
Find the missing value in the ratio table.. Please help me
Help please!!!!!!!!!!!!!!!!1
Answer:
Parts A and B : See below
Part C: (20, 15)
Step-by-step explanation:
Part A
To compute the data uploaded just plug in values for t = 0, 1, 2, 3, 4, 5 into the equation D = 0.75t. This is a simple equation, you should be able to do it
For t = 0, D = 0.75(1) = 0MB
For t = 1, D = 0.75(1) = 0.75MB
For t = 4, D= 0.75(4) = 3MB
etc
Part B
To plot the graph take any two sets of values to plot two points and draw a straight line. I would choose (0, 0) and (4, 3) and draw a line through these points.
Part C
Use the equation 15 = 0.75t
==> t = 15/0.75 = 20 seconds
Answer: (20, 15)
Draw the line of reflection. Give the equation for the line of reflection.
The given figure shows two triangles reflected horizontally.}
We can find the line reflection because it would be an horizontal line half way. Remember that horizontal lines have the form y = k, where k = 1 in this case,
Hence, the line of reflection is y = 1.what is 7 plus 56 divided by 4 tims 7
Answer:
107
Step-by-step explanation:
Answer:
The answer is 105
Step-by-step explanation:
hope its help:)
MP of an article is $1400. Find the SP of that article in cents if the shopkeeper adds 13% VAT after allowing 45% discount. (100 cents =$1)
Answer:
87,010 cents is the SP.
Step-by-step explanation:
MP = $1400
VAT = 13%
Discount = 45%
so,
discount amount = 45% of MP
= 45% of $1400
= 45/100 * $1400
= 9/20 * $1400
= 9* $70
= $630
so,
MP - discount amount
= $1400 - $630
= $770(SP)
so,
VAT amount = 13% of SP
= 13% of $770
= 13/100 * $770
= $100.1
so,
SP + VAT
= $770 + $100.1
= $870.1
so,
$1 = 100 cents
$870.1 = 100*870.1
= 87,010 cents
Estimate 6,976 + 3,983 + 13,560 by first rounding each number to the nearest thousand.
Answer:
Step-by-step explanation:
The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000, 3,983 rounded to the nearest thousand is 4,000, 13,560 rounded is 14,000.
7,000 + 4,000+ 14,000 = 25,000