Patrick and his cousin would each have 136 points in 17 turns.
What is an equation?
An equation is an expression that shows the relationship between two numbers and variables using mathematical operations like addition, subtraction, multiplication, exponents
Let x represent the number of turns it would take for them to have the same points.
Patrick total points after x turns = 7x + 17
The cousin total points after x turns = 8x
For both to have same points:
8x = 7x + 17
x = 17
Total points = 7(17) + 17 = 136 points
Patrick and his cousin would each have 136 points
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Please helpppp meeee
Round 3,872.3155 to the nearest hundred
Answer:
3,872.316
Step-by-step explanation:
Answer:
to nearest hundreds it would be: 3,900
Step-by-step explanation:
872 it closer to 900 than 800
Factor by grouping.
6dy + 4d + 27y + 18
Answer:
(3y+2) (2d+9)
Step-by-step explanation:
Group and factor out the greatest common factor then combine.
The coldest temperature ever recorded in Mathville was -19°F. This happened on January 30th, 1955. The normal low for that day is 10°F.
How much colder was the record temperature than the normal low temperature?
Answer:
-29⁰F
Step-by-step explanation:
Because -19-10=-29.
Which equation can be used to find the volume of the cylinder?
A cylinder with a radius of 6 centimeters and a height of 8 centimeters.
V = pi (6) squared (8)
V = pi (12) squared (8)
V = pi (8) squared (6)
V = pi (8) squared (8)
Answer:
I think it's A. V = pi (6) squared (8)
(I'm so sorry if it's wrong)
Hope this Helps!
HELLO CAN SOMEONE PLEASE ANSWER THIS MATH QUESTION ASAP I WILL MARK YOU THE BRAINLIEST
The expression for one fifth the difference of a number and 17 is B. 1/5( n - 17).
How to illustrate the information?It should be noted that an expression is used to show the relationship between the variables.
In this case, the information is to find the expression for one fifth the difference of a number and 17.
Let the number be n. The expression will be:
1/5( n - 17).
In conclusion, the correct option is B.
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at what point does a line with a slooe of 3/4 and a y-intercept of -5 intersect a line with a slope of - 1/4 and a y-intercept of 3?
Answer:
They intercept at (8,1)
Step-by-step explanation:
Find the slope of the line that passes through (9, 6) and (6, 2).
Answer:
4/3 not sure
i hope its hepls
Answer:
y2 - y1/ x2 - x1
6 - 6/2 - 6 = 0/-4 = 0
Step-by-step explanation:
Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 5 4 2 11 Female 15 12 20 47 Total 20 16 22 58 If one student is chosen at random, Find the probability that the student was male OR got a(n) "A". (Please enter a reduced fraction.)
The probability that the student chosen at random was male OR got an "A" is 31/58.
How to solve for the probabilityTo find the probability that the student was male OR got an "A," we need to calculate the probability of each event separately and then add them together.
Let's calculate the probability of the student being male:
Total number of males = 11
Total number of students = 58
Probability of the student being male = Number of males / Total number of students = 11/58
Now, let's calculate the probability of the student getting an "A":
Total number of students who got an "A" = 20
Probability of the student getting an "A" = Number of students who got an "A" / Total number of students = 20/58
To find the probability of the student being male OR getting an "A," we add the two probabilities together:
Probability (Male OR A) = Probability (Male) + Probability (A) = 11/58 + 20/58 = 31/58
Therefore, the probability that the student chosen at random was male OR got an "A" is 31/58.
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PLEASE HELP ME!!!!! The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for each room.
(a) Write a direct variation equation to represent the cost.
(b) How many rooms can a hotel pay the company to clean for $200? Write and solve an equation.
(c) Suppose the hotel plans to tip the carpet cleaners $40, how many rooms can the hotel get cleaned for $200 now? Write and solve an equation.
Answer:
Step-by-step explanation:
Show that if matrices A and B have the same RREF, then A can be turned into B by a finite sequence of elementary row operations. Hint: Show that any elementary row operation can be undone (inverted,).
Answer:
The answer is below
Step-by-step explanation:
A matrix is in row echelon form if it satisfies the following three conditions:
(i). All non-zero rows are above any zero rows.
(ii). Each leading entry in a row is in a column to the right of the leading entry of the row above it.
(iii). All the entries in a column below a leading entry are zeros.
The following operations on a matrix are called elementary row-operations:
1. Interchanging the ith and the jth rows, expressed as ri <--> rj.
2. Replacing the ith row by a multiple of itself expressed as ri --> krj, where k is a non-zero scalar.
3. Replacing the jth row by the sum of itself and a non-zero multiple of the ith row, expressed as rj --> rj + kr.
It may be observed that all the 3 elementary row-operations are reversible. Thus. ri <--> rj can be reversed by ri <--> rj, ri --> kri can be reversed by ri -->(l/k)*ri, (here ri indicates the new ith row) and rj --> rj + kr can be reversed by rj --> rj - krj.
Now, since both the matrices A and B are reduced to the same RREF C (say), hence reversing the elementary operations used to reduce B to C, we get B from C. Thus, A can first be converted to C and then to B.
20. There is a number x sum that x2 is irrational but x is rational. Then x can be
(a) √5102.0 (£)
(b) √2
(c) 3/2
(d) 4/5
The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)
To explain further, we need to understand the properties of rational and irrational numbers.
A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.
In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.
Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.
Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.
Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.
In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)
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ms.johnson purchased a total of 12 books and magazines for hr office. the total bill was $112 she spent $16 on magazines and the books cost $12 each . how many books did she buy please show work and i will give brainliest if you are right
Answer:
8 books
Step-by-step explanation:
set up a system of equations:
b+m=12
16+12b=112
*let b represent books, let m represent magazines
we can automatically solve the second equation to find out how many books she bought since we know that she spent $16 on magazines
16+12b=112
12b=96
b=8
so, she bought 8 books
Solve the literal equation for y. 20=8x+4y
Answer:
y=2x+5
Step-by-step explanation:
−8x+4y=20
Step 1: Add 8x to both sides.
−8x+4y+8x=20+8x
4y=8x+20
Step 2: Divide both sides by 4.
4y4=8x+204
y=2x+5
Answer:
y=2x+5
Step-by-step explanation:
Let's solve for y.
20=8x+4y
Step 1: Flip the equation.
8x+4y=20
Step 2: Add -8x to both sides.
8x+4y+−8x=20+−8x
4y=−8x+20
Step 3: Divide both sides by 4.
4y
4
=
−8x+20
4
y=−2x+5
what's the answer for this?
Answer:
6.4 miles
Step-by-step explanation:
Use pythogoras theorem here:
? ²= 5² + 4² =
?² = 25 + 16=
?²= 41
?= √41
? = 6.4
You don't need to thank me, I hope this helped
Answer:
Let d represent the distance from home to school
To find d we use the formula for Pythagoras theorem
That's
a² = b² + c²
Where a is the hypotenuse or the longest side
From the question
d is the hypotenuse
So we have
d² = 4² + 5²
d² = 16 + 25
d² = 41
d = √41 miles or 6.403 milesHope this helps you
In your bid to be elected class representative, you have your election committee survey five randomly chosen students in your class and ask them to rank you on a scale of 0-10. Your rankings are 9, 6, 1, 7, 7. (a) Find the sample mean and standard deviation. (Round your answers to two decimal places.) HINT [See Example 1.] sample mean standard deviation (b) Assuming the sample mean and standard deviation are indicative of the class as a whole, in what range does the empirical rule predict that approximately 68% of the class will rank you
Answer:
Sample mean = 6
Sample standard deviation = 3
Range = 3 to 9
Step-by-step explanation:
Given data:
Rankings (x)
9
6
1
7
7
sample size = n = 5
(a)
Sample Mean: \(\frac{}{x}\) = ∑x/n
= 9+6+1+7+7 / 5
= 30 / 5
\(\frac{}{x}\) = 6
Sample Standard Deviation = s = √(x- \(\frac{}{x}\) )²/n-1
= √((9-6)² + (6-6)² + (1-6)² + (7-6)² + (7-6)²) / (5-1)
= √((3)² + (0)² + (-5)² + (1)² + (1)²) / 4
= √(9+0+25+1+1)/4
= √36 / 4
= √9
= 3
s = 3
b) In what range does the empirical rule predict that approximately 68% of the class will rank you?
As per the empirical rule, 68% of data falls within first standard deviation from the mean μ ± 1σ
\(\frac{}{x}\) = 6
s = 3
So
6 - 3 = 3
6 + 3 = 9
Hence the range is from 3 to 9
If z = 1+√3i then z^6 equals
If z = 1 + √3i, then z^6 equals 64.
What is a complex number?In Mathematics, a complex number can be defined as any numerical quantity that comprises two main parts, which include a real number and an imaginary number.
Note: i² = -1.
In this exercise, you are required to determine the exponent of the given complex numbers as follows:
z = 1 + √3i
z^6 = (1 + √3i)^6
Where:
a = 1b = √3iNext, we would apply binomial theorem;
Exponent = ∑^6 _i=0(^6_i) · 1^(6 - i)(√3i)^i
Exponent of 0 = 6!/0!(6 - 0)! · 1^0(√3i)^0 = 1
.
.
.
Exponent of 3 = 6!/3!(6 - 3)! · 1^3(√3i)^3 = 60(√3i)^3
.
.
.
Exponent of 6 = 6!/6!(6 - 6)! · 1^0(√3i)^6 = (27i)^6
Total sum = 1 + 6√i + 45i^2 + 60√3i^3 + 135i^4 + 54√3i^5 + 27i^6
Total sum = 64
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(4 x 5) + ( 4 x 2) = 4 x (5 + n)
Answer:
Step-by-step explanation:
1. (4x5) is 20
2. (4x 2) is 8
3. 20 plus 8 is 28
4. 28= 4x (5+n)
5. isolate n by dividing 4 on both sides= 28/4= 4+n
6. subtract 4 on both sides to get 7-4=n
7. n=3
Solve for b:
2b = 36
Answer:
b = 18
Step-by-step explanation:
1st step is isolating b by moving 2 to the other side. When you move a number the the other side it flips (from + to - or × to ÷). The 2 in this question is being multiplied my b (no sign means multiply) so when you move it to the other side it becomes 36/2 or 18
Steps:
2b=36
b=36/2
b=18
Answer:
b=18
Step-by-step explanation:
2b=36
Divide both sides by 2
b=36/2
then divide 36 by 2 to get 18
have a great day ^_^
Find P (Sheep | Male) Hint: P(A and B) / P(B)
Animals on Farm
Reduce your fraction to lowest terms. Enter the number that belongs in the green box.
The value of the probability P (Sheep | Male) is 2/7
How to evaluate the probabilityFrom the question, we have the following parameters that can be used in our computation:
Sheep = 4 and 3
Male = 1, 4, 2, 2 and 5
The probability P (Sheep | Male) is then calculated as
P(Sheep | Male) = (Sheep and Male)/Male
Substitute the known values in the above equation, so, we have the following representation
P(Sheep | Male) = 4/(1 + 4 + 2 + 2 + 5)
So, we have
P(Sheep | Male) = 4/14
Simplify
P(Sheep | Male) = 2/7
Hence, the probability is 2/7
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- 9(x + 3) = 27
Apply the Distributive Property and simplify.
Which pair of functions is not a pair of inverse functions?
Answer:
the answer is D
the inverse should be -20x/x-1
and thank you i didnt know that the of f(x)=x⁵
is ⁵√x
(~ ̄³ ̄)~
What is the area of this face?
help quickly!!!!!!!!
help with this calc question pls.
The area of the shaded which is obtained using the composite figure formed the shaded region and the area under the curve of the specified function is; (2·π - 3·√3)/2 square units
What is a composite figure?A composite figure is one that is composed of two or more simpler figures.
The area can be considered of comprising of a composite figure of the area under the curve of the function and the area of the shaded region
The function representing the curve under the shaded region can be presented as follows;
y = 3·cos(x) + 1
The interval specified under the curve can be expressed as follows;
0 ≤ x ≤ π/3
Therefore, the area under the curve can be found as follows;
\(\int\limits^\frac{\pi}{3} _3 {3\cdot cos(x) + 1} \, dx = [3\cdot sin(x) + x]^{\frac{\pi}{3} }_0 = 3\cdot sin(\frac{\pi}{3} ) + \frac{\pi}{3} - 0 = 3\cdot sin(\frac{\pi}{3} ) + \frac{\pi}{3}\)
sin(π/3) = (√3)/2
Therefore; 3·sin(π/3) + π/3 = 3·(√3)/2 + π/3 = (2·π + 9·√3)/6
The area of the rectangle = (4 - 0) × (π/3 - 0) = 4·π/3
The area of the shaded region = Area of the rectangle - Area under the curve of the specified function
Therefore, area of the shaded region = 4·π/3 - (2·π + 9·√3)/6 = (2·π - 3·√3)/2
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Find the unknown coordinate so the line through the
points has the given slope
Answer:
#1 (0,-4)
#2 (5,0)
#3 (3,1)
Step-by-step explanation:
#1. (-3, 2) (0, y) slope = -2
slope = rise/run therefore slope = -2/1 or down 2 and over 1
so from -3 to 0 you are going over 3 units (or 3 times) Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6 so 2-6 = -4
so y intercept (b) = -4 0r (0,-4)
#2 (-7,-4) (x,0) slope (m) = 1/3 -7+12=5 x=5
#3 (4,-3) (x, 1) slope (m) = -4 (4/-1) Moving one unit in slope means
-3=4=1 for Y and 4-1=3 for X therefore the point is (3, 1)
Write 1 1/6 as an improper fraction
Step-by-step explanation:
Improper fractions have a numerator that is larger than the denominator
1 = 6/6
so 1 1/6 = 7/6
5 more than the product of 12 and 8 as a numerical expression.
Answer:
(12x8) + 5
Step-by-step explanation:
The product of 12 and 8 would be multiplication, so you can represent that as
(12x8) or 12x8
"5 more" simply means addition
So if you were to put all that together as a numerical expression it would be
(12x8) + 5
Hope this helps!
Lucy has a jewelry business. To make a certain necklace, she spends $3.38 on materials and $5.57 on labor. She then sells the necklace for $15.99. Lucy’s profit on the necklace is equal to the sale price minus the cost of materials and labor. Lucy collected $223.86 selling necklaces at a craft fair. How many necklaces did Lucy sell? How much profit did she earn? Show your work.
Answer:
14 necklaces
$98.56
Step-by-step explanation:
She made a total revenue of $223.86, and each necklace sold for $15.99, so the number of necklaces sold is:
$223.86 / $15.99 = 14
The profit is the sales price minus the cost of materials and labor, so the profit per necklace sold is:
$15.99 − ($3.38 + $5.57) = $7.04
She sold 14 necklaces, so her total profit is:
14 × $7.04 = $98.56
The table below shows the number of marbles of each color sold in a single box. There are a total of 25 marbles in the box.
Marbles in the Box
Color
Number
red
11
blue
11
green
3
The likelihood of an event occurring may be described as being certain, more likely, equally likely, less likely, or impossible
We will find the probability of getting each color of marble, and we will see that getting red and blue is equally likely, while getting green is less likely.
How to find the probabilities for each color of marble?
If we draw a marble at random from the box, all of them will have the same probability of being drawn.
Then the probability of getting a given color is given by the quotient between the number of marbles of that color and the total number of marbles.
Probability of getting red:
P = 11/25 = 0.44 This is really close to 50%, so this is equally likely.
Probability of getting blue:
P = 11/25 = 0.44 This is really close to 50%, so this is equally likely.
Probability of getting green:
P = 3/25 = 0.12 This is really close to 0%, so this is less likely.
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What type of triangle is shown in the figure?
A
Equilateral
À
-y + 23
Obtuse
Right
B
C
Scalene
бу +2
Answer:
A equilateral
Step-by-step explanation:
hey, its equilateral because all sides of the triangle are the same length