Barbara bought 5 amusement park tickets at a cost of $30.If she bought 7 tickets,how much would it cost?
Answer:
30 / 5 = 6$ (cost for 1 ticket)
6 x 7 = 42$ (cost for 7 tickets)
To find the cost for 7 amusement park tickets, divide the original cost by the number of tickets to find the price per ticket ($6) and then multiply by 7 to get the total cost ($42).
The student asks how much it would cost to buy 7 amusement park tickets if 5 tickets cost $30. This is a proportional relationship problem, where the cost of tickets is directly proportional to the number of tickets purchased. To find the cost for 7 tickets, we first determine the cost of 1 ticket by dividing the total cost by the number of tickets (30 divided by 5 equals 6). Since each ticket costs $6, we then multiply this by 7 to find the total cost for 7 tickets (6 times 7 equals 42). Thus, Barbara would pay $42 for 7 tickets.
At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?
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Selena bought a cubic sugar box. Each side length is 18-inch, but the size is unknown.
describe what the cubes represent and then write an expression to represent the total volume of the two items as a sum of cubes, using 2a to represent the side lengths in one cube and 3b to represent the side lengths in the other cube.
Geneva wants to put fencing around her rectangular flower bed. The width of her flower bed is the length. The perimeter of the flower bed is 20 feet. What are the dimensions of her flower bed? A. length = 7 feet; width = 3 feet B. length = 6 feet; width = 4 feet C. length = 3 feet; width = 7 feet D. length = 4 feet; width = 6 feetGeneva wants to put fencing around her rectangular flower bed. The width of her flower bed is the length. The perimeter of the flower bed is 20 feet. What are the dimensions of her flower bed? A. length = 7 feet; width = 3 feet B. length = 6 feet; width = 4 feet C. length = 3 feet; width = 7 feet D. length = 4 feet; width = 6 feet
The dimensions of the rectangular flower bed will be equal to 6 feet and 4 feet. Hence, option B is correct.
What is perimeter?A shape's perimeter is the whole distance encircling it. It is the perimeter or length of the contour of any geometric two-dimensional shape. The circumference of several figures could be comparable based on the measurements.
As per the given information, the question,
Perimeter of flower bed = 20 feet
Width, w = 2/3l
Use the formula of perimeter of rectangle,
P = 2(l + w) (i)
20 = 2 (l + 2/3l)
20 = 2(3l + 2l)/3
10l = 60
l = 6 feet
Put l = 6 feet in equation (i)
20 = 2(6 + w)
20 = 12 + 2w
w = 4 feet.
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after the movie, 99 out of 130 people surveyed said they like the movie. what is the experimental probability that the next person surveyed will say he or she liked the movie. And what is the experimental probability the next person surveyed will say he or she did not like the movie
The experimental probabilities that the next person liked the movie is approximately 0.76 or 76%, and that the next person didn't like the movie is approximately 0.24 or 24%.
Explanation:The question is about the concept of experimental probability in mathematics. In your case, the experimental probability is the ratio of the number of favorable outcomes to the total number of outcomes.
Firstly, out of 130 people, 99 said they liked the movie. Therefore, the experimental probability that the next person liked the movie is the number of favorable outcomes (people who liked the movie) divided by the total outcomes (total people surveyed), which is 99/130 or approximately 0.76.
Next, the people who didn't like the movie are 130 (total surveyed) minus 99 (liked the movie), which gives 31 people. Therefore, the experimental probability that the next person didn't like the movie is 31/130 or approximately 0.24.
These probabilities can also be expressed as percentages by multiplying by 100, resulting in approximately 76% and 24%, respectively.
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Dorell attempted 40 shots he made 18 he says he made 40% of the shots is he right
Select Is a Function or Is not a Function to correctly classify each relation.
{(3, 2), (6, 4), (9, 6), (12, 8)} is a function
{(2, 3), (2, 5), (3, 6), (9, 4)} is not a function
{(2, 4), (6, 3), (4, 8), (6, 6)} is not a function
{(3, 4), (5, 2), (6, 8), (6, 4)} is not a function
ExplanationTo test if a relation is a function from a set of ordered pairs, you just need to check if each element of the domain is paired with exactly one element of the range. Remember that the domain is all the x-values (first points of each ordered pairs) and the range is all the y-values (second points of each ordered pairs).
Let's test each one of our relations:
{(3, 2), (6, 4), (9, 6), (12, 8)} each element of the domain is paired with exactly one element of the range, so this one is a function.
{(2, 3), (2, 5), (3, 6), (9, 4)} 2 in the domain is paired with both 3 and 5 in the range, so this one is not a function.
{(2, 4), (6, 3), (4, 8), (6, 6)} 6 is paired with both 3 and 6, so this one is not a function either.
{(3, 4), (5, 2), (6, 8), (6, 4)} 6 is paired with both 8 and 4, so this one is not a function either.
Answer:
Hey man! This is the answer for anyone if they come across this problem! Hopefully it helps!
Penny wants to make a model of a beetle that is larger than life size. Penny says she is going to use a scaling factor of 7/12. Does this make sense or is it nonsense? Explain.
What divided by a number equals 100
Order -2.96 2 1/9 -2 11/12 and 2.95 from least to greatest P.S 2.95 is repeating
Lisa's pet shop has 2 fish tanks. Tank A contains smaller fish who are fed 1 gram of food each per day. Tank B contains larger fish who are fed 2 grams of food each per day. If Tank B contains 2/3 the number of fish that Tank A contains, will Lisa ever feed both tanks the same amount of food? How many of each type of fish of fish would she need to have?
Answer:
in tank A, we need 1 gram of food per fish.
In tank B, we need 2 gramms of food per fish.
If Na is the number of fish in tank A and Nb is the number of fish in tank B.
Then, the amount of food that the tank A needs is:
Na*1g of food
The tank B needs:
Nb*2g of food
And we know that Nb = 2/3*Na
we can replace it and get:
2/3*Na*2g
Then if both tanks need the same amount of food, we should have that both of these equations are equal:
food of tank A = food of tank B
Na*1g = (2/3)*Na*2g
we solve this for Na
Na = (2/3)*Na*2g/1g = (2/3)*Na*2 = (4/3)*Na
Na = (4/3)*Na
This equation has no solution, and from here we can conclude that if Nb = 2/3*Na, she will never give the same amount of food to both tanks.
b) knowing that the amount of food neded in tank A is half the amount for tank B, then we need the doulbe of fish in the tank A than in the tank B
Na = 2*Nb
Lisa cannot feed both tanks the same amount of food under the given conditions. If Tank A has 'a' smaller fish and Tank B has 2/3 of the number of fish in Tank A, then Tank A would require 'a' grams of food while Tank B would require 4/3 'a' grams, which are not the same.
The student is asking whether Lisa can ever feed the same amount of food to both Tank A and Tank B, given that the larger fish in Tank B eat 2 grams of food per day and there are 2/3 the number of fish in Tank B compared to Tank A, which contains smaller fish that eat 1 gram of food per day. To determine if there is a scenario where Lisa can feed both tanks the same amount of food, we will need to set up an algebraic equation.
Step-by-step calculation:
Let the number of smaller fish in Tank A be represented by the variable a.The number of larger fish in Tank B would then be 2/3a as Tank B contains 2/3 the number of fish that Tank A contains.Calculate the total food for Tank A: a fish × 1 gram/fish = grams.Calculate the total food for Tank B: 2/3a fish × 2 grams/fish = 4/3a grams.Set the total food for both tanks equal to each other to find the condition when Lisa feeds the same amount to both tanks: a = 4/3a.Solve for a: This equation has no solution because Tank A cannot contain the same number of grams of food as 4/3 times itself.Therefore, Lisa can never feed both tanks the same amount of food unless one of the conditions changes, like the amount of food fed to the fish or the ratio of fish between the tanks.
A rectangular flower garden in Samantha's backyard has 100feet around its edge .the width of the garden is 20 feet what is the. Length of the garden
2x+9y=27
X - 3y = -24
Final answer:
The provided question involves solving a system of linear equations using the elimination method, a topic in high school mathematics. The step-by-step demonstration uses elimination to find the solution for x and y.
Explanation:
The question involves solving a system of linear equations, which is a topic covered in high school mathematics. To solve the system:
2x + 9y = 27
x - 3y = -24
We can use the method of elimination or substitution. However, in this demonstration, we will apply elimination to find the solution for x and y.
For example, to use elimination, we can multiply the second equation by 3 to get equations with the same coefficient for y:
3(x - 3y) = 3(-24)
which simplifies to:
3x - 9y = -72
Then we subtract this new equation from the first equation:
(2x + 9y) - (3x - 9y) = 27 - (-72)
This process simplifies to x = 3. After finding the value of x, substitute it back into one of the original equations to find the value of y, completing the solution for the simultaneous equations.
Round off to nearest 10 of 194
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If a spacecraft was parked on Venus and needed to make a flight to Jupiter, how far would it need to travel? (Assume both planets are aligned with the sun and are on the same side of the sun.) Show your work and provide your answer in scientific notation.
Answer:
7.4052 x 10^8
Step-by-step explanation:
Justin is considering two websites for downloading music.The costs are detailed here. Website 1: a yearly fee of $30 and $1.50 for each download Website 2: $2 for each download What is a system of equations to represent the costs for one year? Express your equations in the form of y=mx+by=mx+b where x is the number of downloads for the year and y is the total cost for the year.
Charlie wants a new pair of shoes that cost 40 dollars his mom pays 75 percent of the cost and he pays 25 percent how much do they both pay
Which graph is an example of a function?
A)
B)
C)
D)
Complete all show all your work
40÷5 (2+11)=
Is this equation a linear function? If so give the intersepts 12x+3y=6
The distance from the park to the grocery store is 0.9 miles. Ezra runs 8 tenths of the distance and walks the rest of the way. How far does Ezra run from the park to the grocery store?
a cellphone cost $120 dollars. the price is reduced by 30% for a sale. how much is the savings
What is the partial product for 315×4
jack was planting a tree. he was to dig a hole that was 3.25 feet deep for every 5.7 feet of tree height . how deep should he dig the hole for a tree that is 17 feet high
Jack should dig a hole approximately 9.69 feet deep for a tree that is 17 feet high.
Jack needs to dig a hole for a tree that is 17 feet high, based on a requirement that the hole depth should be 3.25 feet for every 5.7 feet of tree height. To calculate the depth of the hole Jack should dig, we will set up a proportion where the depth of the hole is directly proportional to the tree height.
The proportion is as follows: 3.25 feet depth/5.7 feet height = x feet depth/17 feet height. To solve for x (the depth of the hole for a 17-foot tree), we cross-multiply and divide:
(3.25 feet depth * 17 feet height) / 5.7 feet height = x feet depth.
By calculating this, we get:
x = (3.25 * 17) / 5.7 = 55.25 / 5.7 = 9.69 feet.
2y-4x=-12 what is the slope intercept
What times 5/6 equals 10/3
Tammi is planning to buy a video game system for $310. Each month she doubles the amount she saved the previous month. If she saves $10 the first month, in how many months will Tammi have enough to buy the video game system? Please explain.
why is 378 a divisible by 3 and 9
Jane had 5 candy canes Max had 11 candy canes how many candy canes do they have all together
By adding Jane's 5 candy canes to Max's 11 candy canes, we find that together they have 16 candy canes.
Explanation:To find out how many candy canes Jane and Max have all together, we need to add the number of candy canes that each person has. Jane has 5 candy canes and Max has 11 candy canes. So, we will perform a simple addition: 5 (Jane's candy canes) + 11 (Max's candy canes).
The sum is:
5 + 11 = 16
Therefore, Jane and Max have 16 candy canes all together.
To find the total number of candy canes Jane and Max have all together, you simply need to add the numbers of candy canes they each have. Jane has 5 candy canes and Max has 11 candy canes. Adding these numbers together, 5 + 11 = 16.
kelly belonged to a canoe club that had 18 canoes. they kept their canoes om trailers, each able.to carru 2 wide and 3 high. if they had enough trailers for all of their canoes, how many trailers did they have?