Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:
90x − 20
What does the factor x of the first term of the expression represent?
The total number of tasks Terrence completed
The total number of tasks Shelly completed
The sum of Shelly's and Terrence's total points
Answer:
6345478655
Step-by-step explanation:
gfdwhdfksgfi7yegthkdsfaf
what is the slope of the line that contains points (−3 −5) and (2 7)
Answer:
Step-by-step explanation:
To find the slope of a line when only given two points on that line, divide the difference in the y points by the difference in the x points.
slope = (-5 - 7)/(-3 - 2) = -12/-5 = 12/5
slope = (7 - -5)/(2 - -3) = 12/
What is the area of the shaded region in the figure at the right? 15 cm 2 cm 6 cm 7 cm Area of the rectangler Area of the parallelogram Area of the shaded region=
Answer:
76
Step-by-step explanation:
The formula for the area of the Trapezoid is:
\(A=\frac{a+b}{2}h=\frac{7+7}{2}2=14\)
The formula for the area of the rectangle is:
\(A=wl=6*15=90\)
Now you rest 90 - 14 and it gives you 76.
The sum of two numbers is 22, and their difference is 12. What are the numbers?
Answer:
the anwser is 10 and 12
d
d
d
A pizza restaurant has 63 and 2/3 cups of flour. Each batch of pizza dough uses 5 and 1/4 cups of flour. About how many batches of pizzas will they be able to make.
Answer:
12
Step-by-step explanation:
PLEASE HELP ITS DUE IN A FEW MINS
The diagram shows a circle with centre O.
A & B lie on the circumference of this circle.
Given that ∠OAB = 40°, evaluate ∠AOB.
Helppp ASAP
As angle OAB =40-degree, angle AOB is 100 degrees according to the properties of circle and triangle.
What are the properties of circle?Some Properties of circle are distance from center of the circle to each point on the circumstances are equal. hence, OA=OB
Diameter is twice of radius.
What is isosceles triangle?The triangle having two equal side length is called isosceles triangle. In the figure, triangle OAB is an isosceles as OA=OB=radius
According to the criteria of isosceles triangle angle OAB =OBA =40°
hence, angle AOB= 180 degrees - (40°+40°) [angle sum of triangle =180°]
angle AOB= 100 degrees.
We get, AOB = 100 degrees
to know more about types of triangle visit:
https://brainly.com/question/2773823
#SPJ1
Consider two coordinates given by P(−2, 0) and Q(4, 3).
Find the equation of the straight line connecting these points in the form
y = mx + c
The equation of the straight line connecting these points in the form of y = mx + c is given as y = (1/2)x + 1.
The line in the slope-intercept equation is given as,
y = mx + c
where:
m = the slope of the line
c = the y-intercept
The slope m of the line connecting two points (x1, y1) and (x2, y2) is given by the formula
= (y₂ - y₁) / (x₂ - x₁)
Substituting the coordinates values of P and Q into this formula, we get
\(m = (3 - 0) / (4 - (-2))\)
= 3/6
= 1/2
Therefore, the value of the m is 1/2
We can find the value of c by substituting the m and x values in the equation. using the point P and Substituting x and y values in the equation we get
x = - 2
y = 0
\(0 = (1/2) × (-2) + c\)
c = 1
Therefore, the value of c is 1.
By substuting the m and c values in the standard slope-intercept formula we get y = (1/2)x + 1.
Therefore, the equation of the line connecting points P and Q is y = (1/2)x + 1.
To learn more about slope-intercept:
https://brainly.com/question/29368936
#SPJ4
how many rectangles of different sizes can be formed from 36 identical rectangles
The number of rectangles of different sizes can be formed from 36 identical rectangles is 5
Number of rectangles
From the question, we have proofs of;
Total number of identical squares = 36
Now, let the measurement of the side of each square be 1 unit
We have that the formula for area of a square is;
Area of a square = Side × Side square units
We have the area of the square to be;
Area of each square = 1×1 = 1 square units
This is so because the rectangles are identical both in length and width
Let's find the area of the identical squares
Area of total 36 identical squares
= 36×1 square units
= 36 square units
So Area of the rectangle = length × breadth square units
if the rectangles are formed from 36 identical squares then their areas are the same
Total area of required rectangles = 36 square units
It can be written as;
36 = length × breadth
36 = 1×36 36 = 2×1836 = 3×1236 = 4×936 = 6×6(1,36) , (2,18),(3,12),(4,9),(6,6) are the different rectangles formed from 36 identical squares
Total rectangles = 5
Thus, the number of rectangles of different sizes can be formed from 36 identical rectangles is 5
Learn more about rectangles here:
https://brainly.com/question/17297081
#SPJ1
HELP ASAP | A bird (B) is spotted flying 5,000 feet from a tree (T). An observer (0) spots the bird (B) at a distance of 13,000 feet. What is the angle of
depression from the bird (B) to the observer (0)? (4 points)
T
5,000
00
13,000
o
a
22.70°
44.62
C
67.38°
d
68.96º
Answer:
\(x=67.38^\circ\)
Step-by-step explanation:
Use trigonometry
Recall that cos(x)=adjacent side/hypotenuse
You can remember this with SohCahToa
Also remember that if cos(x)=y then \(cos^{-1}(y)=x\)
In this case, we know the adjacent side and hypotonous
Adjacent side=5000
Hypotenuse=13000
Therefore
\(Cos(x)=\frac{5000}{13000}=\frac{5}{13}\)
Now to solve for x, take the inverse cosine
\(cos^{-1}(\frac{5}{13})=x=67.38^\circ\)
Answer:
x=67.38
Step-by-step explanation:
I took the quiz and got it correct!
Ben gets 5 more presents than his naughty little sister Gwen this holiday season. If together they receive 21 presents, how many
presents does each kid receive?
9514 1404 393
Answer:
Ben: 13Gwen: 8Step-by-step explanation:
The given relations give rise to two equations:
b = g + 5
b + g = 21
Using the first to substitute for b in the second, we have ...
(g +5) +g = 21
2g = 16 . . . . . . . subtract 5
g = 8 . . . . . . . . . divide by 2
b = 8 +5 = 13
Ben got 13 presents; Gwen got 8.
y=2x+3 find the solution to the system of equations.
The solution to the system of equations is (-6, -9).
Given y=2x+3,
we are to find the solution to the system of equations.
In order to find the solution to the system of equations,
we require another equation in the system.
The system of equations is:
y = 2x + 3 ...
(1)Let's assume another equation:y - 3x = 9 ...
(2)The given system of equations is:
y = 2x + 3 ... (1)y - 3x = 9 ...
(2)Substituting equation (1) into equation (2), we get:
(2x + 3) - 3x = 9 => -x + 3 = 9 => -x = 9 - 3 => -x = 6 => x = -6
Therefore, substituting this value of x in equation (1), we get:
y = 2x + 3 => y = 2(-6) + 3 => y = -12 + 3 => y = -9
Therefore, the solution to the given system of equations is (-6, -9).
for such more questions on solution
https://brainly.com/question/24644930
#SPJ8
determine by how many orders of magnitude the quantities differ. a $100 bill and a dime.
A $100 bill and a dime differ by a magnitude of 3.
Orders of magnitude can be used in order to define large quantities efficiently and more easily. A dime is a currency used in the US that is equivalent to 0.10 dollars.
So we can represent a dime as 10-¹ of a dollar
and we can write 100 dollars as 10² of a dollar.
Therefore the difference in the order of magnitude of 100 dollars and a dime would be the difference between the powers or exponents of those two quantities,
That is,
2-(-1) = 3
So, the dollar differs by a magnitude of 3 from a dime.
Learn more about orders of magnitude on
https://brainly.com/question/4953281?referrer=searchResults
#SPJ4
Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 15, −6) and parallel to the line x = −1 + 2t, y = 6 − 3t, z = 3 + 7t
<x = 0 + 2t, y = 15 - 3t, z = -6 + 7t> is the vector parametric equation of the line parallel to the given one and that passes through the point (0, 15, −6).
According to the statement
we have to find that the vector equation with the help of the given line equation and the points.
So, For this purpose, we know that the
A vector equation is an equation involving a linear combination of vectors with possibly unknown coefficients.
And the given points is (0, 15, −6) and the lines
x = −1 + 2t,
y = 6 − 3t,
z = 3 + 7t
From these equation of lines:
Let a = -1 and b = 6 and c = 3
Then
Now, if we want this line to pass through the point (0, 15, -6), then we can replace the correspondent values in the constant term for each equation:
So, Put it in the given equations then
x = 0 + 2t and y = 15 - 3t and z = -6 + 7t
and the vector equation become
<x = 0 + 2t, y = 15 - 3t, z = -6 + 7t>
So, <x = 0 + 2t, y = 15 - 3t, z = -6 + 7t> is the vector parametric equation of the line parallel to the given one and that passes through the point (0, 15, −6).
Learn more about vector parametric equation here
https://brainly.com/question/17088529
#SPJ4
Naomi plotted the graph below to show the relationship between the temperature of her city and the number of popsicles she sold daily:
A scatter plot is shown with the title Naomis Popsicle Stand. The x axis is labeled High Temperature, and the y-axis is labeled Number of Popsicles Sold. Data points are located at 90 and 20, 85 and 17, 70 and 14, 75 and 20, 60 and 16, 50 and 14, 60 and 12, 40 and 10, 50 and 12, 80 and 8.
Part A: In your own words, describe the relationship between the temperature of the city and the number of popsicles sold. (2 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept.
Answer: Part A: The graph shows a negative relationship between the temperature of the city and the number of popsicles sold. As the temperature increases, the number of popsicles sold decreases.
Part B: To make the line of best fit, we need to draw a line that comes closest to the data points. We can find the slope and y-intercept of the line by using two of the data points on the graph. Let's choose the points (90, 20) and (40, 10).
Slope = (change in y) / (change in x) = (20 - 10) / (90 - 40) = 0.2
To find the y-intercept, we can use the slope-intercept form of a line: y = mx + b, where m is the slope and b is the y-intercept. Let's use the point (90, 20) and plug in the slope we just found:
20 = 0.2(90) + b
b = 2
Therefore, the approximate slope of the line of best fit is 0.2 and the approximate y-intercept is 2.
Step-by-step explanation:
Jakobe earns a bi-weekly mean gross pay of $1,592.00. what percent of his total salary will he pay if his student loan payments are $130.00 per month for 180 months? round to the nearest tenth. (4 points) 3.9% 3.8% 3.6% 3.7%
The loan payment of $130 per month for 180 months will be 3.9% of Jakobe's salary .
In the question ,
It is given that
Jakobe earns biweekly gross pay = $1592.
means in 2 weeks Jakobe earns = $1592
In 4 weeks (1 month) Jakobe earns = $1592+$1592
= $3184
So Jakobe salary for 180 months will be = 3184 × 180
= $573120
Laon payments for 1 month = $130
Loan amount for 180 months = 130 × 180
= $23400
So , the percent of salary Jakobe will pay as loan
= (Loan amount)/(Jakobe Salary) × 100
Substituting the values we get ,
= 23400 / 573120 × 100
= 0.039 × 100
= 3.9
≈ 3.9%
Therefore , the loan payment of $130 per month for 180 months will be 3.9% of Jakobe's salary .
Learn more about Loan amount:
https://brainly.com/question/13418646
#SPJ4
A point P(x, y) moves along the graph of the equation y = x3 + x2 + 6. The x-values are changing at the rate of 2 units per second. How fast are the y-values changing (in units per second) at the point Q(1, 8)?
The y-values are changing at a rate of 24 units per second at the point Q(1, 8).
To find how fast the y-values are changing at the point Q(1, 8), we need to calculate the derivative of the given equation with respect to x. The derivative of y = x^3 + x^2 + 6 is dy/dx = 3x^2 + 2x.
At the point Q(1, 8), we substitute x = 1 into the derivative to find the rate of change.
dy/dx = 3(1)^2 + 2(1) = 3 + 2 = 5.
Therefore, the y-values are changing at a rate of 5 units per second at the point Q(1, 8). However, the rate at which the x-values are changing is given as 2 units per second.
Thus, to determine how fast the y-values are changing with respect to time, we multiply the rate of change in y by the rate of change in x: 5 units/second * 2 units/second = 10 units/second. Hence, the y-values are changing at a rate of 10 units per second at the point Q(1, 8).
LEARN MORE ABOUT point here: brainly.com/question/32083389
#SPJ11
Please unlock my account so i can sign in i was letting my nephew use my phone and i told him to always tell the truth about age but i am an adult this phone belongs to an adult
Answer:
pls is this a question or not.
What is the board feet of lumber if it has a 2-inch thickness, 3-inch width and length is 7ft?
A. 1
B. 3.5
C.5
D. 7.5
Answer:
B. 3.5
Step-by-step explanation:
2inch×3inch×7ft=board ft
2×3=6inch
7ft=84
6×84=504
504inch³=3.5board ft
#gamer
Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months. Show your work
City A: {2.5, 3, 6, 1.5, 4, 1}
City B: {4, 7, 3.5, 4, 3.5, 2}
What is the mean monthly rainfall amount for each city?
What is the mean absolute deviation (MAD) for each city? Round to the nearest tenth.
What is the median for each city?
Hello, I am Alyssa Ann Verrett.
Put the numbers in order:
City A: {2, 3.5, 4, 4, 5, 5.5}
City B: {3.5, 4, 5, 5.5, 6, 6}
a)
The mean monthly rainfall amount for city A: 4 in;
The mean monthly rainfall amount for city B: 5 in;
b)
The MAD monthly rainfall amount for city A: 0.8 in;
The MAD monthly rainfall amount for city B: 0.8 in;
c)
The median monthly rainfall amount for city A: 4 in;
The median monthly rainfall amount for city A: 5.25 in;
Step-by-step explanation:
a) The general definition of mean of a set X is:
mean = (x₁ + x₂ + x₃ + ... xₙ)/n
For City a:
mean = (4+3.5+5+5.5+4+2)/6 = 4
For City b:
mean = (5+6+3.5+5.5+4+6)/6 = 5
b) The general definition of mean absolute deviation of a set X is:
MAD = (|x₁-mean| + |x₂-mean| + |x₃-mean| + ... + |xₙ-mean|)/n
For City a:
MAD = ( |4-4| + |3.5-4| + |5-4| + |5.5-4| + |4-4| + |2-4| )/6 = (0 + 0.5 + 1 + 1.5 + 0 + 2)/6 = 5/6 =0.8
For City b:
MAD = ( |5-5| + |6-5| + |3.5-5| + |5.5-5| + |4-5| + |6-5| )/6 = (0 + 1 + 1.5 + 0.5 + 1 + 1)/6 = 5/6 = 0.8
c) The general definition of median depends on the quantity of elements in the set X and it represents the middlemost value of the set:
When the quantity is odd:
median= x₍ₙ₊₁₎/₂
When the quantity is even:
median= (xₙ/₂ + x ₙ₊₂/₂) /2
For City A:
median = 2, 3.5, 4, 4, 5, 5.5 = (4 + 4) / 2 = 4
For City B:
median = 3.5, 4, 5, 5.5, 6, 6 = (5 + 5.5) / 2 = 5.25
Cual es el area de un semicírculo que se diámetro es 14
The area of a circle is given by:
\(A_C=\frac{1}{4}\cdot\pi\cdot d^2.\)Where π ≅ 3.14 and d is the diameter of the circle.
Now, a semi-circle is a half of a circle, so its area is half of the area of the complete circle:
\(A_{SC}=\frac{1}{2}\cdot A_C=\frac{1}{2}\cdot(\frac{1}{4}\cdot\pi\cdot d^2)=\frac{1}{8}\cdot\pi\cdot d^2\text{.}\)Replacing the value d = 14 in the last formula, we get:
\(A_{SC}=\frac{1}{8}\cdot\pi\cdot(14units)^2=24.5\cdot\pi\cdot units^2\cong76.97units^2.\)Answer
The area of a semicircle with a diameter d =14 is approximately 76.97 units square.
what is x if f (x) = 4x + 13 = 9
Answer:
-1
Step-by-step explanation:
4x + 13 = 9
4x + 13 - 13 = 9 -13
4x = -4
-4/4 = -1
X = -1
Answer:
-1.
Step-by-step explanation:
4x + 13 = 9
4x = 9 -13
4x = -4
x = -4/4
X = -1
a random telephone survey of 1,021 adults (aged 18 and older) was conducted by opinion research corporation on behalf of completetax, an online tax preparation and e-filing service. the survey results showed that 684 of those surveyed planned to file their taxes electronically.
The descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically is the sample proportion, which is 67.1%.
To estimate the percentage of all taxpayers who file electronically based on the survey results, we can calculate the sample proportion.
The sample proportion is obtained by dividing the number of individuals in the sample who exhibit the desired characteristic (in this case, those who planned to file their taxes electronically) by the total sample size.
Given:
Number of individuals in the sample who planned to file electronically (desired characteristic): 684
Total sample size: 1021
Sample proportion (p) = Number of individuals with the desired characteristic / Total sample size
p = 684 / 1021
To estimate the percentage, we multiply the sample proportion by 100:
Percentage estimate = p × 100
Percentage estimate = (684 / 1021) × 100
=67.1%
Therefore, the descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically is the sample proportion, which is approximately 67.1%.
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ4
A random telephone survey of 1021 adults (aged 18 and older) was conducted by Opinion Research Corporation on behalf of CompleteTax, an online tax preparation and e-filing service. The survey results showed that 684 of those surveyed planned to file their taxes electronically (CompleteTax Tax Prep Survey 2010). Develop a descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically.
Hello! Some assistance with this question would be really helpful (:
Answer:
mode = 1 , median = 2 and mean = 3
Step-by-step explanation:
Here, we want to get the mean , median and the mode
1. Mode
The mode deals with the number which has the highest frequency. Looking at the table, the number with the highest frequency is 1
2. Median
The median deals with the middle number, given that the numbers were arranged from lowest to highest or highest to lowest. The count of frequency is 15 and this mean that the middle number is the 8th term.
With the given arrangement, The 8th term falls within the number 2
3. Mean
The mean is the average. The arithmetic mean is the sum of the numbers divided by their count
the sum of the numbers is;
1(7) + 2(3) + 3(1) + 5(2) + 8(1) + 11(1) = 45
The count of the numbers is the sum of the frequencies = 15
the mean is thus;
45/15 = 3
So therefore;
mean = 3
mode = 1
median =2
slope=7;(4,-30)
what is the y-intercept
and what is the equation
Answer:
The y-intercept is -58
The equation is y=7x-58
Step-by-step explanation:
We'll look for an equation of the form y=mx+b, where m is the slope and b the y-intercept (the value of y when x is 0).
We are given the slope and one point on a line. The slope, m, of 7 leads us to:
y=7x+b
We need a value for b that will force the line to go through point (4,-30). Enter that point in the above equation and solve for b:
y = 7x+b
-30 = 7(4)+b for point (4,-30)
-30 = 28 + b
b = -58 [b is the y-intercept]
The equation is y = 7x-58
See the attached graph.
Is -2 x 4 positive or negative? please help i have 19 missing assignments
Answer:
-8
Step-by-step explanation:
a negative number multiplied by a positive one gives as a result a negative number
-2 x 4 = -8
Solve the simultaneous equations 2x + 4y = 1 3x - 5y = 7
Answer:
(1.5, - 0.5 )
Step-by-step explanation:
Given the 2 equations
2x + 4y = 1 → (1)
3x - 5y = 7 → (2)
Multiplying (1) by 3 and (2) by - 2 and adding will eliminate the x- term
6x + 12y = 3 → (3)
- 6x + 10y = - 14 → (4)
Add (3) and (4) term by term to eliminate x
22y = - 11 ( divide both sides by 22 )
y = - 0.5
Substitute y = - 0.5 into either of the 2 equations and solve for x
Substituting into (1)
2x + 4(- 0.5) = 1
2x - 2 = 1 ( add 2 to both sides )
2x = 3 ( divide both sides by 2 )
x = 1.5
Solution is (1.5, - 0.5 )
I NEED HELP THIS IS DUE BY THE END OF THE DAY AND ITS 3:03 PLEASE HELPPP
find the equation of the line that passes through ( -2,8) and (5,6)
Answer: the equation is
y=-2/7x +52/7 and the slope is -2/7
Step-by-step explanation:
Keith wants to earn more than $53 trimming trees. He charges $7 per hour and pays $3 in equipment fees. What are the possible numbers of hours Keith could
trim trees?
Use t for the number of hours.
Write your answer as an inequality solved for t.
The possible numbers of hours Keith could trim trees, is 8 hours
In the given question we have to find the possible numbers of hours Keith could trim trees.
Keith wants to earn more than $53 trimming trees.
He charges $7 per hour.
He pays $3 in equipment fees.
We have to find total hours he have to work.
Suppose possible number of hours dan could trim the tree = t.
So according to question
t×7-3 ≥ 53
Simplifying
7t-3 ≥ 53
Add 3 on both side, we get
7t ≥ 53+3
7t ≥ 56
Divide by 7 on both side, we get
t ≥ 8
Hence, the possible numbers of hours Keith could trim trees, is 8 hours.
To learn more about inequality link is here
brainly.com/question/28823603
#SPJ1
Find the slope of the line that is parallel to the line y=1/8x+8
Answer:
The slope is the same since they are parallel. The only thing that should be different is the 8 at the end should be any other number.
Step-by-step explanation: