Answers
You have the following verbal expressions:
a. 8 less than the product of 3 and j
The algebraic expression is:
8 - 3j
"8 - " is "8 less" and "3j" than the product of 3 and j
b. The quotient of f and the quantity of g increased by 11.
The associated algebraic expression is:
f/(g + 11)
"f/" means "the quotient of f and" and "g + 11" means "the quantity of g increase by 11"
Related Questions
you and a friend have created a carnival game for your classmates. you plan to charge $1 for each time a student plays, and the payout for a win is $5. according to your calculations, the probability of a win is .05 what is your expected value for this game?
Answers
Answer:
The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.
Step-by-step explanation:
Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing
In this case:
Probability of Winning = 0.05
Payout for Win = $5
Cost of Playing = $1
Expected Value = (0.05 * $5) - $1
Expected Value = $0.25 - $1
Expected Value = -$0.75
Write a fraction that is equivalent to 3/5 that has a denominator of 20.
5
15
20
20
12
12
20
3
20
Answers
Answer:
12/20
Step-by-step explanation:
\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)
The answer is:
12/20In-depth-explanation:
The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.
We need to multiply both the numerator and the denominator by 4, so we do this:
\(\sf{\dfrac{3\times4}{5\times4}}\)
\(\sf{\dfrac{12}{20}}\)
Hence, the answer is 12/20.find four consecutive whole numbers whose sum is 74
Answers
Answer:
17, 18, 19, 20
Explanation:
Let the numbers be x, x + 1, x + 2, x + 3
Their sum is equals to 74
x + x + 1 + x + 2 + x + 3 = 74 (group the variables)
x + x + x + x + 1 + 2 + 3 = 74 (simplify)
4(x) + 6 = 74 (subtract both sides by 6)
4x = 68 (divide both sides by 4)
x = 17
Other numbers:
x + 1 = 17 + 1 = 18
x + 2 = 17 + 2 = 19
x + 3 = 17 + 3 = 20
Answer:
17, 18, 19, 20
Step-by-step explanation:
Let four consecutive whole numbers be x, (x + 1), (x + 2) and (x + 3)According to the given condition:x + (x + 1) + (x + 2) + (x + 3) = 74-> 4x + 6 = 74-> 4x = 74 - 6-> 4x = 68-> x = 68/-> x = 17-> x + 1 = 17 + 1 = 18-> x + 2 = 17 + 2 = 19-> x + 3 = 17 + 3 = 20Thus, the four consecutive whole numbers are 17, 18, 19 and 20Find the equation of a line that contains points (5,-3) and (-2,-4) in standard form
Answers
To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.
Determine the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
For the given points (5, -3) and (-2, -4), we have:
m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7
Use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Using the point (5, -3), we have:
y - (-3) = (1/7)(x - 5)
Simplifying:
y + 3 = (1/7)(x - 5)
Convert the equation to standard form:
Multiply both sides of the equation by 7 to eliminate the fraction:
7y + 21 = x - 5
Rearrange the equation to have the x and y terms on the same side:
x - 7y = 26
The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.
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Evaluate. Write your answer as a fraction in simplest form.
(4/3)2
Answers
Answer:
8/ 3
Step-by-step explanation:
Answer: 8/3
Step-by-step explanation: you would multiply the numerator (top number 4) by 2 and get 8/3 as a decimal it would be 2.6 repeated and as a mixed number it would 2 and 2/3
Hope this helps (^_^)
21x² - 2x + 1/2 =0
find the following quadratic equation by factorization method
PLESE SOMEONE HELP
Answers
Step-by-step explanation:
21x²-2x +1/2 = 0
x² - 2x ×21 + 1/2× 21 = 0
Can someone help me with dis mathematics
Answers
Answer:
30°
Step-by-step explanation:
angles on a straight line add up to 180°.
angles in a triangle add up to 180°.
XYZ = 180 - 105 = 75°.
angle YZX = 180 - 2x.
so we have YZX + 2x = 180, YZX = 180 - 2x.
angles in triangle add up to 180:
x + YZX + 75 = 180,
x + (180 - 2x) + 75 = 180,
-x + 180 + 75 = 180,
-x = 180 - 180 - 75 = -75,
x = 75°.
YZX = 180 - 2x = 180 2(75) = 180 - 150 = 30
Need help and answer if you know it please
Answers
Describe how to transform the quantity of the fifth root of x to the seventh power, to the third power into an expression with a rational exponent. \((5\sqrt{x} ^7)^3\)
Answers
Answer:
unnun
Step-by-step explanation:
Triangle ABC has vertices at A(−3, 3), B(0, 7), and C(−3, 0). Determine the coordinates of the vertices for the image if the preimage is translated 3 units up.
A′(−3, 0), B′(0, 4), C′(−3, −3)
A′(−3, 6), B′(0, 10), C′(−3, 3)
A′(−6, 3), B′(−3, 7), C′(0, 0)
A′(0, 3), B′(3, 5), C′(0, 0)
Answers
Answer:
To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:
A' = (-3, 3 + 3) = (-3, 6)
B' = (0, 7 + 3) = (0, 10)
C' = (-3, 0 + 3) = (-3, 3)
Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).
So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).
When 4 digits between 0 and 9 are randomly selected with replacement for a lottery ticket, what is the probability that at least one digit is 7.
Answers
We will have the following:
We will be able to take 4 values, so:
*When we pick value 1: There will be 10 possible choices [1/ 10]
*When we pick value 2: There will be 9 possible choices [1/9]
*When we pick value 3: There will be 8 possible choices [1/8]
*When we pick value 4: There will be 7 possible choices [1/7]
So, the probability of that number being seven is the following:
\(p=(\frac{1}{10})(\frac{1}{9})(\frac{1}{8})(\frac{1}{7})\Rightarrow p=\frac{1}{5040}\Rightarrow p=1.984126984\cdot10^{-4}\)So, the probability of at least one digit is 7 is 0.0001984126984.
Give the location of Phoenix as an ordered pair (x, y).
Answers
Answer:
The location of Phoenix is (-7, -9)
Step-by-step explanation:
Hope this helps!
aplicaciones de la geometría en la vida
Answers
Answer:
I don't understand I'm sorry.....
Suppose P( A) = 0.60, P( B) = 0.85, and A and B are independent. The probability of the complement of the event ( A and B) is: a. .4 × .15 = .060 b. 0.40 + .15 = .55 c. 1 − (.40 + .15) = .45 d. 1 − (.6 × .85) = .490
Answers
Answer: a. 0.4 × 0.15 = 0.060
Step-by-step explanation: Probability of the complement of an event is the one that is not part of the event.
For P(A):
P(A') = 1 - 0.6
P(A') = 0.4
For P(B):
P(B') = 1 - 0.85
P(B') = 0.15
To determine probability of A' and B':
P(A' and B') = P(A')*P(B')
P(A' and B') = 0.4*0.15
P(A' and B') = 0.06
Probability of the complement of the event is 0.060
11,9,36,28,7,41 what is the mean absolute deviation
Answers
Answer:
The mean absolute deviation of this sample is 13.
Step-by-step explanation:
Mean absolute deviation is the sum of the absolute value of the differences between data values and the mean, divided by the sample size.
3. suppose you are given two circularly linked lists, l and m. describe an algorithm for telling if l and m store the same sequence of elements (but perhaps with different starting points).
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The logic for the algorithm is Traverse both linked lists, comparing corresponding elements.
To determine if two circular linked lists, l and m, store the same sequence of elements, we can use the following algorithm:
Start at the head of both linked lists, l and m, and traverse each list until we reach the end.At each step, compare the elements stored in the corresponding nodes of both linked lists.If the elements are not equal, the lists do not store the same sequence of elements.If we reach the end of both linked lists and all elements have been equal, the lists store the same sequence of elements, but with different starting points.In order to cover the case where the lists store the same sequence of elements but with different starting points, we can repeat the algorithm starting at each node in l and m, and continue until we have compared all possible starting points.Learn more about linked lists:
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p= ?
m∠RTS=?
explain how you find the requested values
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The angle of the T in the ΔRST is 100° and the value of p is 11.
Define Triangle.
A triangle is a polygon that consists of three sides and three vertices. The fact that the interior angles of a triangle add up to 180 degrees is the most crucial aspect of triangles. This characteristic is known as the angle sum property of a triangle.
i.e., In a give ΔABC, ∠A + ∠B + ∠C = 180°.
Given:
∠R = 37°; ∠S = 43°; ∠T = 10p-10°
Let's take ∠T = x
In ΔRST,
∠R + ∠S + ∠T = 180°
37 + 43 + x = 180°
x = 180 - 80 ⇒ 100
∴ ∠T = 100°
To find the value of p,
∠T = 100
10p - 10 = 100
10p = 110 ⇒ 11
∴ p = 11
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What is the nature of roots of x- 9x = 20 ?
a. nonreal
b. real, rational, and equal
c. real, rational, and unequal
d. real, irrational, and unequal
Answers
Answer:
Option C
Step-by-step explanation:
To find the nature of the roots we use the Discriminant formula which is:
\(D=b^2-4ac\)
and given the equation and compare with the standard quadratic equation
\(x^2-9x=20\\x^2-9x-20=0\\ax^2+bx+c=0\)
Here our a is 1 , b is -9 and c is -20 so we plug a, b, c into the Discriminant formula
\(D=b^2-4ac\\D=(-9)^2-4(1)(-20)\\D=81+80\\D=161\)
Since D > 0 (greater than zero) our roots are real and unequal for the rational and irrational part we got know the the Discriminant's square root value if it is in decimals the nature of the roots are irrational if the Discriminant's value is a whole number then it is rational and so 161 has a square roots in points which is
\(D=\sqrt{161} \\D=12.6885\)
So our answer is real , irrational and unequal which is Option C
Question content area top Part 1 Think About the Process Use the algebra tiles to help you solve the equation 2x - 4 = 10. What is the first step in solving the equation using algebra tiles? What is the solution to the equation?
Answers
The solution to the equation is x = 7.
What is the linear equation in one variable?
A linear equation in one variable is an equation of the form ax + b = 0, where a and b are constants and x is the variable. The general form of a linear equation in one variable is ax + b = 0, where a and b are constants and x is the variable. The graph of a linear equation in one variable is a straight line.
The first step in solving the equation 2x - 4 = 10 using algebra tiles would be to add 4 to both sides of the equation to get 2x = 14. The next step would be to divide both sides of the equation by 2 to get x = 7.
Hence, the solution to the equation is x = 7.
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What should you substitute for x in the second equation (bottom equation) in order to solve the system by the substitution method?
Answers
We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
The given system of equations are 2x-1/3y = -2...(1)
3x+y=1...(2)
We solve this system of equations by using substitution method.
Let us solve for x in equation to substitute it in equation (2).
2x=-2+1/3y
Divide both sides of equation by 2.
x=-1+1/6y
Now plug in the value of x in equation 2.
Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
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what are the answers? thank you.
Answers
Answer:
176.78cm squared,23.57cm,Step-by-step explanation:
inorder to solve the area of the shaded area;°/360ñRsquared
arc length you use ;°/360ñD
HELP The county fair charges $10 admission and $2 per ride. what is the cost for a admissions and r rides?
Answers
The cost for a admission is $10 and the cost per ride is $2. If you want to find the total cost for a admission and r rides, you need to multiply the cost per ride by the number of rides and then add the admission fee. So the total cost would be:
Total cost = $10 + $2r
For example, if you wanted to find the total cost for 5 rides, you would substitute 5 for r in the equation:
Total cost = $10 + $2(5) = $20
So the cost for 5 rides and one admission would be $20.
Total cost = Admission cost + Ride cost
Total cost = $10 + ($2 x r)
Total cost = $10 + $2r
So if someone were to go to the fair and go on 5 rides, the total cost would be:
Total cost = $10 + ($2 x 5) = $20.
Emma has half of her investments in stock paying a 10%
dividend and the other half in a stock paying 14% interest. If her total annual interest is $600, how much does she have invested?
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Emma has $5,000 total invested.
Let's call the total amount Emma has invested "x".
Emma has half of her investments in stock paying a 10% dividend, so that portion of her investment earns 0.10(x/2) = 0.05x in annual interest.
The other half of her investments are in a stock paying 14% interest, so that portion of her investment earns 0.14(x/2) = 0.07x in annual interest.
The total annual interest Emma earns is $600, so we can set up the following equation:
0.05x + 0.07x = 600
0.12x = 600
x = 5000
Therefore, Emma has a total of $5000 invested.
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The management of a restaurant conducted a survey and found that 18 % of the customers preferred Orange Juice to Apple Juice. Based on this information, what is the probability that for a random sample of 17 customers, 7 preferred Orange Juice?
Answers
Answer:
The customers are wrong.
Step-by-step explanation:
Apple juice is wayyyyyyyyy better than orange juice.
Which measurements could create more than one triangle?
2 of 4 QUESTION
A triangle with sides measuring 10 cm and 20 cm and an included angle
measuring 65°
A triangle with sides measuring 15 inches, 20 inches, and 25 inches
O A triangle with sides measuring 20 cm, 9 cm, and 10 cm
O A right triangle with acute angles measuring 45° and 45°
Answers
Answer: A right triangle with acute angles measuring 45° and 45°
Step-by-step explanation:
This question is related to the criteria of congruence for triangles.
The criteria are:
SSS (you know the 3 sides)
SAS (you know two sides, and the angle between those two sides)
ASA (you know two angles, and the side between those two angles)
AAS (you know two angles, and one side).
So for the given examples, the only one that does not reach any of those criteria is the last option, where we only have the angles:
45°, 45° and 90°.
This means that we can craft multiple triangles with this data:
this is a triangle rectangle where the length of the cathetus is the same, that is the only restriction.
For example we can have lengths:
1, 1 and √2
or 2, 2 and √(2^2 + 2^2) = √8
Answer:
A right triangle with acute angles measuring 45° and 45°
Step-by-step explanation:
After drawing a square on the board, Mr. Hinkle asked his class to identify the shape. Timothy stated that Mr. Hinkle had drawn a rhombus. Which of the following statements is true?
Answers
BRAINLIEST FOR WHOEVER SOLVES AND IS CORRECT.
Answers
Answer:
24/9
Step-by-step explanation:
To get from 3 to 9, you multiply by 3. If you want to make the fractions equivelnt, you need to multiply 8 by 3. That is 24. The fraction is 24/9.
Part a identify the similar triangles in the above diagram
Answers
Answer:
it's a scalene triangle whose all sides are different
I need help with this one
Answers
Answer:
58 degrees
Step-by-step explanation:
The little square in the corner signals a right angle/a 90 degree angle. If x and 32 add up to 90, then x is 58.
A party store recorded recent balloon sales. green 20 blue 17 pink 12 purple 19 orange 7 What is the experimental probability that the next balloon sold will be green? Write your answer as a fraction or whole number.
Answers
The experimental probability of the next balloon sold being green is 4/15.
Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.
According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:
20 + 17 + 12 + 19 + 7 = 75
Now we can use these numbers to calculate the experimental probability of a green balloon being sold:
Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold
Experimental probability of a green balloon being sold = 20 / 75
Experimental probability of a green balloon being sold = 4/15
This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.
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Answer:
4/15
Step-by-step explanation: