The probability of spinning a number greater than 1 and flipping tails is 3/8
How to calculate the probability of spinning a number greater than 1 and flipping tailsFrom the question, we have the following parameters that can be used in our computation:
The spinner
The flipping of a coin
In the spinner, we have
P(Greater than 1) = 3/4
In the coin, we have
P(Tail) = 1/2
Using the above as a guide, we have the following:
The required probability is
P = 3/4 * 1/2
Evaluate
P = 3/8
Hence, the probability is 3/8
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........ edges 1- Assume G is a complete graph has 100 vertices, then G must has. a) 4950 b) 10000 c) 99 d) 200 2- Assume G is a connected graph has 100 vertices, then G must has at least..............edges a) 4950 b) 10000 c) 99 d) 200 3- Consider the following algorithm For i=1 to n kn while k>=1 do k=k/2 The complexity of the above algorithm is a) 2 (n²) b) 0 (n lg n) c) 8( ilgn) (d) 0( Ign) 4- Minimum Spanning Tree algorithm is a ................ Method a) Backtracking b) Dynamic c) Greedy 5-if G has a path between each two vertices then G is a.......................Graph a) Complete b) Connected c) Complete and Connected 6- Any problem in NP-Complete class is in a) NP-class b) P-class c) NP-Hard d) a + c 7- The ................. algorithm has a linear complexity a) Binary search b) Matrix multiplication c) Max is in-place Algorithm a) Insertion sort b) Selection sort c) Min Algorithm 9- The worst case analysis of insertion sort is a) 0(n²) b) 8 (n lg n) c) 0 (n¹5) 10-An example of greedy method is a) Dijkstra b) Quick Sort 8- The......... c) Min&Max d) 0(¹25) d)All d) Divide& conquer d) None d) Merge sort d) All
The complete graph with 100 vertices will have \(\( \binom{100}{2} = 4950 \)\)edges. Therefore, the correct option is (a) 4950. A connected graph with 100 vertices must have at least 99 edges.
1. A complete graph with 100 vertices means that there is an edge between every pair of vertices. The number of edges in a complete graph with n vertices is given by the formula \(\( \binom{n}{2} = \frac{n(n-1)}{2} \)\). Substituting n = 100, we get\(\( \frac{100 \cdot 99}{2} = 4950 \)\) edges.
2. In a connected graph with n vertices, the minimum number of edges required to ensure connectivity is n - 1. Therefore, a connected graph with 100 vertices must have at least 99 edges.
3. The given algorithm has a loop that divides the value of k by 2 in each iteration. As long as k is greater than or equal to 1, the loop continues. Since the value of k is halved in each iteration, the loop will run approximately \log ntimes. Therefore, the complexity of the algorithm is \(\( O(\log n) \)\).
4. The Minimum Spanning Tree algorithm is a Greedy method because it makes locally optimal choices at each step to construct the minimum spanning tree.
5. A graph is called connected if there is a path between every pair of vertices. Therefore, if a graph has a path between each two vertices, it is a connected graph.
6. NP-Complete problems are a subset of problems in the NP-class and are also NP-Hard. Therefore, any problem in the NP-Complete class is in both NP-class and NP-Hard class.
7. The algorithm with linear complexity is the Max is in-place Algorithm, which finds the maximum element in an array by comparing each element with the current maximum and updating it if necessary.
8. The worst-case time complexity of Insertion Sort is\(\( O(n^2) \)\) because in the worst case, for each element, it may need to be compared and shifted with every element to its left.
9. Dijkstra's algorithm is an example of the Greedy method for finding the shortest path in a graph.
10. The correct option is not provided for question 10, as none of the given options
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Samantha starts with $50 in her bank account. She then deposits $20 each week for 12 weeks. She has formed the following equation y = 50 + 20x to model how much she saves. Which of the following graphs best models her situation?
The graph that best models Samantha's situation is shown below .
In the question ,
it is given that
Amount Samantha invested in the bank is $50 .
amount deposited every week is $20
let the number of weeks \(=\) x .
so the equation formed is given as y = 50 + 20x
to graph this equation , we need 2 points
let x =12 weeks ,So
y = 50 + 20(12)
y = 50 + 240
y = 290
one point is (12,290)
For ,second point
let x = 10 weeks , So
y = 50 + 20(10)
y = 50 + 200
y = 250
second point is (10,250)
On plotting these two points on the coordinate plane and joining them , we get the graph that is shown below .
Therefore , The graph that best models her situation is shown below .
The given question is incomplete , the complete question is
Samantha starts with $50 in her bank account. She then deposits $20 each week for 12 weeks. She has formed the following equation y = 50 + 20x to model how much she saves. Draw a graph that best models her situation?
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Adina is starting a band and wants to buy a guitar and amplifier. The cost of the guitar is g(m) = 680 + 10m where m is time in months. The amplifier cost is represented by the function a(m) = 450 - 5m. Adina hopes to have enough money saved up to buy both items in 4 months. How much will she need?
The cost of the amplifier=$26.33
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Step 1: Derive expression for amplifier cost and guitar cost
guitar cost=g
amplifier cost=a, but since its costs 1.54 more than 1.26 times the cost of the guitar, a=(1.26×g)+1.54=1.26 g+1.54
amplifier cost=a=1.26 g+1.54
Step 2: Derive the expression for the total cost of guitar and amplifier
Total cost of guitar and amplifier=Cost of guitar+cost of amplifier
where;
Cost of guitar=g
Cost of amplifier=1.26g+1.54
Total cost of guitar and amplifier=46
replacing;
46=g+1.26g+1.54
46=2.26g+1.54
2.26g=46-1.54
2.26g=44.46
g=44.46/2.26
g=19.67
a=(1.26×19.67)+1.54=26.33
The cost of the amplifier=$26.33
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question 21 options: suppose the american kennel club estimates that 38% of households in u.s. have a pembroke welsh corgi. a random sample of 400 households is taken. round probability answers to 4 decimal places, i.e. .xxxx do not include leading or ending zeros. what is the probability the sample proportion is more than 40%?
The probability that the sample proportion is more than 40% is approximately .0001.
What is Probability?
Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.
To find the probability that the sample proportion is more than 40%, we need to use the normal distribution and the central limit theorem.
The central limit theorem states that the distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
To find the probability that the sample proportion is more than 40%, we need to first calculate the mean and standard deviation of the sample proportion. The mean of the sample proportion is equal to the population proportion (38%), and the standard deviation of the sample proportion is equal to:
\(standard\ deviation = sqrt((population\ proportion * (1 - population\ proportion)) / sample\ size)\\\\= \sqrt{((.38 * .62) / 400)}\\\\= .048\)
Next, we need to standardize the sample proportion of 40% by subtracting the mean and dividing by the standard deviation:
z = (40% - 38%) / .048 = 4.17
The probability that it is less than or equal to 40% is approximately .9999.
The probability that the sample proportion is more than 40% is then equal to 1 - .9999 = .0001.
So, The probability that the sample proportion is more than 40% is approximately .0001.
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Given the following logistic regression model results, what is the percentage change in the odds when x
2
increases by one unit holding x
1
constant? Coefficients: Multiple Choice −35.65 −49.69 35.65 49.69
Percentage change = (exp(35.65 * (x2 + 1)) - exp(35.65 * x2)) / exp(35.65 * x2) * 100
To calculate the percentage change in the odds when x2 increases by one unit while holding x1 constant in a logistic regression model, we need to consider the coefficients of the variables.
In this case, the coefficient for x2 is 35.65. Since the coefficient is positive, it means that as x2 increases, the odds of the outcome also increase. However, to calculate the percentage change, we need to exponentiate the coefficient.
Let's denote the odds with x2 as "odds(x2)" and the odds with x2 increased by one unit as "odds(x2+1)". The percentage change can be calculated using the formula:
Percentage change = (odds(x2+1) - odds(x2)) / odds(x2) * 100
In logistic regression, the odds can be calculated as:
odds(x) = exp(coefficient*x)
Using the coefficient for x2 (35.65), the calculation would be as follows:
odds(x2) = exp(35.65 * x2)
odds(x2+1) = exp(35.65 * (x2 + 1))
Percentage change = (exp(35.65 * (x2 + 1)) - exp(35.65 * x2)) / exp(35.65 * x2) * 100
Please note that the calculation requires a specific value for x2 in order to obtain a precise percentage change.
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john wants to measure the hieght of a tree. he walks exactly 100 ft from the base of the tree and looks up. the angle from the ground to the top of the tree is 33. how tall is the tree
Answer:
The tree is 64.9 ft tall.
Step-by-step explanation:
Think of a right triangle. Draw the right triangle. The tree is a vertical side of the triangle, so it is a leg with unknown length, so call its length y. The ground, is a horizontal leg with length 100 ft. The angle from endpoint of the horizontal leg on the ground away from the tree to the top of the tree is 33º.
For the 33º angle, y is the opposite leg, and 100 ft is the adjacent leg.
The trig ratio that relates the lengths of the opposite leg to the adjacent leg is the tangent.
tan A = opp/adj
tan 33º = y/100
y = 100 * tan 33º
y = 64.9
Answer: The tree is 64.9 ft tall.
Elsa will spend more than $25 on gifts. So far, she has spent $17. What are the possible additional amounts she will spend?
The required possible amount that she spends additionally is more than $8.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Elsa will spend more than $25 on gifts. So far, she has spent $17.
Let the possible additional amounts she will spend be x,
According to the quesiton,
x + 17 > 25
x > 25 - 17
x > 8
Thus, the required possible amount that she spends additionally is more than $8, as of the given condition.
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Is -51/5 rational or irrational
Which streets on the map appear to be perpendicular to each other?
Elm
Maple
Main
Willow
A.
Maple and Willow
B
Elm and Willow
OC.
Main and Elm
D.
Main and Maple
Answer:
jhkughyuguygkuyftyfguyihyghuy.,^´ñplpokjo0ijoi
Step-by-step explanation:
Answer: Maple and Willow
Step-by-step explanation:
Hello sorry for the other guy's un usefulness but I'm taking the same test and this was the correct answer.
Do anybody know how to do this ? This typa work is unnecessary bruh I hate school !
Man, I have to be honest with you, I have no clue. But here is something else though. I had to take Geometry last year, and you are right. It does suck. But, you will get through it! There is a light at the end of the tunnel and you will get it! Keep up the good work!
Answer:
m<1 = 87
Step-by-step explanation:
Bro I got you! You ain't gotta hate school no more!
Right the equation like this
m<1 + m<2 = <TSV (plug in)
m<1 + 65 = 152 (subtract 65 from 152 to get m<1)
m<1 = 87
There you go!
Hope this helps ya!
reagan buys a boom during the sale. if reagan pays 16$, what was the original price?
To accurately answer the question "Reagan buys a boom during the sale. if Reagan pays $16, what was the original price?", we need to know the discount or percentage off that was offered during the sale.
Without this information, we cannot determine the original price of the boom. For example: if the sale was a 20% discount, the original price of the boom would be $20. However, if the sale was a 50% discount, the original price would be $32. So, the percentage of discount or the sale price percentage needs to be known to calculate the original price.
The original price is the initial price of an item before any discounts, markups, taxes, or other fees are added or subtracted. It is the price at which a product or service was originally sold by the seller. The original price may change due to various factors, such as promotions, sales, or changes in supply and demand.
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NOT B
Ricin is one of the most toxic substances known: less than 2 mg injected into the bloodstream will kill an adult human. Ricin is produced by the castor bean plant as a 65 kd protein heterodimer compos
Ricin is a highly toxic substance derived from the castor bean plant, capable of causing lethal effects with just a small dose. It is composed of a 65 kd protein heterodimer.
Ricin, a potent toxin, is produced by the castor bean plant (Ricinus communis) in the form of a 65 kd protein heterodimer. This toxin is considered one of the most toxic substances known to humans. Even a minute amount, less than 2 milligrams, injected into the bloodstream can result in the death of an adult. Ricin exerts its toxic effects by inhibiting protein synthesis in cells, leading to cell death and tissue damage. It functions by removing an adenine residue from a specific ribosomal RNA molecule, thereby preventing the binding of elongation factors and halting protein production. The heterodimeric structure of ricin consists of two subunits, referred to as the A chain and the B chain. The B chain allows for ricin's internalization into cells, while the A chain carries out the enzymatic activity responsible for its toxicity. Due to its potency and the potential for misuse, ricin is classified as a potential biological weapon and is strictly regulated.
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can someone help me solve the area of this composite figure please
Therefore, the area of the composite figure is 65 square centimeters. Therefore, the area of the composite figure is approximately 150.8 square centimeters.
What is area?In mathematics, the area is the measure of the size of a two-dimensional surface or shape. It is the amount of space inside the boundary of a flat object, such as a triangle, rectangle, circle, or any other polygon. The standard unit of measurement for area is square units, such as square meters (m²), square centimeters (cm²), or square feet (ft²). To calculate the area of a shape, we usually use a formula that depends on the shape's geometry and dimensions, such as its length, width, radius, or height. Area has many applications in everyday life, such as calculating the size of a room, the amount of paint needed to cover a wall, or the area of land required to build a house or grow crops. In mathematics and science, area is also used to solve problems in geometry, physics, engineering, and other fields.
Here,
1. Combination of Square and Rectangle
To find the area of this composite figure, we need to break it down into simpler shapes and add up their areas. The figure consists of a square with sides of 5 cm, a rectangle with sides of 4 cm and 9 cm, and a square with sides of 2 cm.
The area of the square with sides of 5 cm is:
A1 = (side)²
= (5 cm)²
= 25 cm²
The area of the rectangle with sides of 4 cm and 9 cm is:
A2 = length x width
= (9 cm) x (4 cm)
= 36 cm²
The area of the square with sides of 2 cm is:
A3 = (side)²
= (2 cm)²
= 4 cm²
To find the total area of the composite figure, we add up the areas of these three shapes:
A = A1 + A2 + A3
A = 25 cm² + 36 cm² + 4 cm²
A = 65 cm²
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PLZ HELP ME MY ASSIGNMENT IS DUE IN THE NEXT FEW MINUTES AND I HAVEN’T‘ DONE ANYTHING YET PLZ HELP ME
Answer:
C y=3x
Step-by-step explanation:
1 x 3 = 3
2 x 3 = 6
3 x 3 =9
Answer:
C. Y=3x i believe
Step-by-step explanation:
hope this helps
how many edges does a rectangular have
y=−2x+2
4x+2y=4
Substitute the resulting expression in the other equation
Answer:
In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.
Step-by-step explanation:
А.
En un café Internet está publicado el siguiente cartel.
SERVICIO DE INTERNET
$2. 000 la primera hora
$1. 000 cada hora adicional
después de la primera hora
SI P es el valor total por pagar por el servicio de Internet yn es el número de horas
adicionales después de la primera hora que un cliente usa
sa el servicio, ¿cuál de las
siguientes expresiones muestra correctamente el valor total por pagar, suponiendo que el
cliente consume al menos una hora?
A. P= 2. 000n + 1. 000
C. P = n(2. 000 + 1. 000)
B. P= 2. 000 + 1. 000n
D. P = 2. 000 + 1. 000(n+1)
MATEMATICAS-TECNOLOGÍA GUÍA 1 PAG: 7
Step 1: Calculate the total cost for the first hour. The total cost for the first hour is $2,000.
Step 2: Calculate the cost for each additional hour. The cost for each additional hour is $1,000.
Step 3: Calculate the total cost. To calculate the total cost, add the cost for the first hour ($2,000) to the cost for each additional hour ($1,000) multiplied by the number of additional hours (n). This gives us a total of P = 2,000 + 1,000(n + 1).
Therefore, the correct expression for the total cost is P = 2,000 + 1,000(n + 1).
C(x)=F+V is the generic form of the cost function formula (x) C(x) = F + V(x), where x is the number of units, V(x) is the total variable cost, and C(x) is the overall cost of production.
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Your family used 27.5 gallons of gas to drive 654.5 miles. how many miles did you drive for each gallon?
Answer:
total distance = 654.5
Total gas used = 27.5
Distance per gallon = 654.5 ÷ 27.5 = 23.8
We drove 23.8 miles for each gallon of gas
Divide 45 pens between devika bhoomika in the ratio 4:5
Answer:
20:25
Step-by-step explanation:
add how many parts (4+5=9)
45/9=5
4*5=20, 5*5=25
therefore, 20:25
The control panel in a nuclear power plant contains 50 diodes. Based on testing individual diodes, the probability that any particular diode will fail prior to its scheduled replacement is known to be 0.0001. Based on the construction of the control panels, the failure of an individual diode is independent of the failure of any other diode on the control panel. During a 30 day period, the number D of failed diodes out of the 50 diodes on the control panel is recorded. The distribution of D is
The distribution of D, the number of failed diodes, follows a binomial distribution with parameters n = 50 and p = 0.0001.
The distribution of D, the number of failed diodes out of the 50 diodes on the control panel, can be modeled using the binomial distribution.
In this case, each diode can either fail (with probability 0.0001) or not fail (with probability 1 - 0.0001 = 0.9999).
The binomial distribution is defined by two parameters: the number of trials (n) and the probability of success on each trial (p).
The number of trials is 50 (corresponding to the 50 diodes) and the probability of success (p) is 0.0001 (the probability that any particular diode will fail).
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Suppose that 45% of all babies born in a particular hospital are girls. If 7 babies born in the hospital are randomly selected, what is the probability that at most 2 of them are girls?Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.
Solution:
Since the sample size is fixed;
\(n=7\)And the probability of picking a girl is constant for each trial, the binomial distribution is appropriate;
\(\begin{gathered} P(X=r)=^nC_rP^r(1-P)^{n-r} \\ \\ P(X\leq2) \end{gathered}\)Thus;
\(\Rightarrow^7C_0(0.45)^0(0.55)^7+^7C_1(0.45)^1(0.55)^6+^7C_2(0.45)^2(0.55)^5\)\(\Rightarrow0.0152+0.0872+0.2140=0.3164\)ANSWER: 0.32
the waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
The probability that a randomly selected passenger has a waiting time greater than 4.25 minutes is 0.5278
The uniform distributed between a and b minutes.
The probability of finding a value above x is:
P(X > x) = \(\frac{b-x}{b-a}\)
The time is evenly distributed between 0 and 9 minutes.
This implies that a=0 , b=9
Determine the likelihood that a randomly selected passenger will have to wait longer than 4.25 minutes.
p(X > 4.25) = \(\frac{9-4.25}{9-0}\)
= 0.5278
There is a 52.78% chance that a randomly selected passenger will have to wait longer than 4.25 minutes.
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Which row of the table reveals the x-intercept of function f?
The row of the table that reveals the x-intercept of the function f is given as follows:
Second row.
What are the intercepts of a function?A function has two intercepts, which are listed as follows:
x-intercept.y-intercept.The definition of each type of intercept is given as follows:
x-intercept: values of x when y = 0.y-intercept: value of y when x = 0.From the second row of the table, we have that when x = -4, f(x) = 0, hence the x-intercept of the function is of x = -4.
The y-intercept is of y = -16, as from the fourth row, when x = 0, y assumes a value of 16.
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in problems 17–20 the given vectors are solutions of a system x9 = ax. determine whether the vectors form a fundamental set on the interval (−`, `).
In order to determine whether the given vectors form a fundamental set on the interval (-∞, ∞), we need to consider the concept of linear independence. A set of vectors is considered linearly independent if no vector in the set can be expressed as a linear combination of the others.
To determine whether the given vectors form a fundamental set, we need to check whether they are linearly independent. This can be done by forming a matrix with the given vectors as columns and then finding the determinant of the matrix. If the determinant is non-zero, then the vectors are linearly independent and form a fundamental set.
However, since the given system x9 = ax is not a differential equation, we cannot directly apply this method. Instead, we need to check whether the given vectors satisfy the conditions of linear independence. This can be done by checking whether the vectors are linearly independent using standard linear algebra techniques.
If the given vectors are linearly independent, then they will form a fundamental set on the interval (-∞, ∞). However, if they are linearly dependent, then they will not form a fundamental set, and we would need to find additional solutions to the system in order to form a fundamental set.
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what is 75:___= 25:8
Answer:
24
Step-by-step explanation:
75/3 is equal to 25... So, in theory, if you multiply 8 by 3, you should get 24. To check that: 75/24 = 25/8
Answer:
24
Step-by-step explanation:
Considering that 25 can go into 75 by being multiplied by 3, you'd multiply 8 by 3 to get your answer.
find the difference between the square of 18 and the square of 9
Answer:
18 x 9 = 162
Step-by-step explanation:
easy please helppp match the following defintion with the correct term: the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Answer:
4. rise
match the following definition with the correct term:
the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Please help me on this, I need to find X!
Answer:
x would most likely be 55.
Explanation:
because it is a right angle which is = to 90.
90-35=55
Answer:
55°
Step-by-step explanation:
Right angles are 90°
90 - 35 = 55° (x°)
The angles are adjacent, if it was vertical both angles would have the same degree. Adjacent angles are angles which have a common vertex and occur in right angled triangles.
Do the following points give the vertices of a rectangle? Justify your answer.
A(0, 10) B(3, 6) C(8, 16) D(11, 12)
A. No; AB←→ is perpendicular to AC←→, but this is the only pair of perpendicular s connecting these points.
B. No; AB←→ is parallel to CD←→, but this is the only pair of parallel s connecting these points.
C. Yes; AB←→ is perpendicular to CD←→, and AC←→ is perpendicular to BD←→. The two pairs of perpendicular s intersect to form a rectangle.
D. Yes; AB←→ is parallel to CD←→, and AC←→ is parallel to BD←→. The two pairs of parallel lines are perpendicular to each other.
Answer:
D (Yes; AB←→ is parallel to CD←→, and AC←→ is parallel to BD←→. The two pairs of parallel lines are perpendicular to each other.)
Step-by-step explanation:
1. Plot the points on a coordinate plane
2. You can eliminate A and B because the points do make a rectangle
3. See that AB is parallel to CD so you can eliminate C
PLS HURRY I NEED THIS ANSWERED RIGHT NOW!!! Brittney has twice as much money as Sun. Together, they have $60. Let x represent the amount of money Sun has. What expression represents the amount of money Brittney has? What expression represents the amount of money that Brittney and Sun have together? What is the equation described in this problem?
Sun's money = x
Brittney's money = 2x
x + 2x = $60
3x = $60
3x/3 = 60/3
x = 20
So amount that Brittney has is 2x.
The amount they have together is 3x
The equation that describes the problem is 3x = $60
Answer:
Brittney has twice as much money as Sun. Together, they have $60. Let x represent the amount of money Sun has.
What expression represents the amount of money Brittney has?
✔ 2x
What expression represents the amount of money that Brittney and Sun have together?
✔ 2x + x
What is the equation described in this problem?
✔ 2x + x = 60
Step-by-step explanation: