By defining the variable 'L' for the number of baseball cards Leo has, we solve for 'L' and determine that Ginny has 210 baseball cards using the equations derived from the given information.
Explanation:The student has asked a question that involves algebraic expressions and solving equations which is a typical middle school mathematics problem. First, let's define a variable for the number of baseball cards Leo has. Let's call this number 'L'. According to the problem, Alex has 4 less than twice the number of baseball cards as Leo, which can be expressed as 2L - 4. We know that Alex has 128 baseball cards, so we can set up the equation 2L - 4 = 128.
Now, let's solve for L:
Add 4 to both sides of the equation: 2L - 4 + 4 = 128 + 4Simplify: 2L = 132Divide both sides by 2: L = 66Now we know Leo has 66 baseball cards. We can use this information to find out how many baseball cards Ginny has. The problem states that Ginny has 12 more than three times the number of baseball cards that Leo has. This can be expressed as 3L + 12. Since L is 66, we substitute and calculate Ginny's baseball cards:
Ginny's baseball cards: 3(66) + 12 = 198 + 12 = 210
sasha has a string that is the length of 5 beads. each bead is 2 inches long. what is the length of the string?
14) Mrs. Kalfayan baked 4 trays of 25 cookies. After they cooled she divided the cookies evenly into 6 bags. How many cookies did Mrs. Kalfayan place in each bag? How many are left over? *
15 cookies in each bag and 4 left over
17 cookies in each bag and none left over
16 cookies in each bag and 4 left over
15) Explain how you solved question #14. (Use complete sentences) *
A pail holds 3 1/2 gallons of water. How much is this in cups?(In fraction)
Facts in picture. Please help ASAP!!!
which are geometric shapes ?
select all that apply
-rhomas
-trapezoid
-scalene triangle
-isosceles triangle
-equilateral triangle
determine the height of the pyramid triangular base with the base edge of 12 inches and base height 9 inches, and volume of 108 cubic inches
The height of the pyramid with a triangular base edge of 12 inches, a base height of 9 inches, and a volume of 108 cubic inches is 6 inches.
Explanation:The subject of your question is in the field of mathematics, specifically in geometry. You provided the base edge, base height, and volume of the pyramid and asked to determine the height of the pyramid itself. The volume V of a pyramid is given by the formula V = 1/3 * base_area * height. In your case, the base of the pyramid is a triangle, so the area of the base (base_area) is given by 1/2 * base_edge * base_height = 0.5 * 12 in * 9 in = 54 square in. To find the height of the pyramid, we substitute the volume and the base area into the formula and solve for the height: 108 cubic in = 1/3 * 54 square in * height -> height = 6 inches. Therefore, the height of your pyramid is 6 inches.
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This semicircle has a diameter of 5 meters. What is the area of this figure? Use 3.14 to for pi. Enter your answer as a decimal in the box. Round your answer to the nearest hundredth. m²
Answer:
9.81
Step-by-step explanation:
:3
Simplify 4x(2x3-7x2+x)
The sales commission is 10% at an electronics store. How much does Saul have to sell in 22 hours to earn $12.50 per hour from commission? Explain.
Final answer:
Saul needs to sell $2,750 worth of electronics in 22 hours to earn $12.50 per hour from a 10% sales commission.
Explanation:
To calculate how much Saul has to sell in 22 hours to earn $12.50 per hour from commission at a rate of 10%, we first determine his total earnings from commission over the 22 hours. So we multiply $12.50 by 22 hours, which gives us $275. Now, because the commission is 10%, we can write a simple equation where the total sales (which we'll call S) multiplied by 10% (or 0.10) equals $275.
The equation looks like this: S × 0.10 = $275. To solve for S, we divide both sides of the equation by 0.10: S = $275 / 0.10, which results in S = $2,750. Therefore, Saul has to sell $2,750 worth of electronics in 22 hours to earn an hourly wage of $12.50 from commission.
What is 2 divided by 134.5
Answer:
0.01486988847
Step-by-step explanation:
A bag contains 30 red and blue marbles identical in size. Jason randomly selected 1 marble, recorded its color, and replaced it. He repeated this process 10 times and drew 6 red marbles and 4 blue marbles. Which of the following statements is MOST likely true about the marbles in the bag?
The bag contains 16 red marbles and 14 blue marbles.
The bag contains 12 red marbles and 18 blue marbles.
The bag contains 18 red marbles and 12 blue marbles.
The bag contains 15 red marbles and 15 blue marbles.
Final answer:
The bag is most likely to contain 16 red marbles and 14 blue marbles due to the probabilities obtained from multiple draws that is option A is correct.
Explanation:
The bag contains 16 red marbles and 14 blue marbles.
For the first draw, the probability of selecting a red marble is 30/60 = 1/2.
Since the marbles are replaced, the probability remains the same for each draw.
Thus, the proportions suggest that the bag has more red marbles than blue marbles.
find the discriminant, describe the types of roots, and find the solution for 3x^2-24x+12
Travis works at a kite factory. He checks all the kites before they are packaged. Travis discovered that for every 28 kites that passed inspection, there were 7 kites that did not pass: 4 kites did not have tails and 3 kites had the wrong colors.
Of the 476 kites Travis examined, how many did not have tails and how many had the wrong colors?
10.5 would round up to?
Which expression is equivalent to sqrt 120x?
a. 2 sqrt 30x
b. 2 sqrt 30
c. 4 sqrt 30x
d. 60 sqrt 2x
Answer:
a. [tex]2\sqrt{30x}[/tex]
Step-by-step explanation:
We have been given a radical expression and we are asked to choose the correct option that is equivalent to our given expression.
[tex]\sqrt{120x}[/tex]
Let us pull out perfect square from our radical expression.
We can rewrite our given expression as:
[tex]\sqrt{4*30x}[/tex]
Since square root of 4 is 2, so we can pull out 2 from our radical expression.
[tex]2\sqrt{30x}[/tex]
Therefore, the expression [tex]2\sqrt{30x}[/tex] is equivalent to our given expression and option a is the correct choice.
Answer:
A
Step-by-step explanation: on Edge
Find the PERIMETER of this triangle
A triangular flowerbed is being planted inside a circular area of grass. What is the area of the entire circular region (including the flowerbed)? (Use 3.14 for π .) 10,562.96 ft 2 182.12 ft 2 2,640.74 ft 2 91.06 ft 2
Answer:
Answer is 2,640.74
2x sqaured-5+1 minus 4x-3
Noah and his friends are going to an amusement park. The total cost of admission for 8 students is $100, and all students share the cost equally. Noah brought $13 for his ticket. Did he bring enough money to get into the park explain you reasoning.
Answer:
The correct answer is yes, he brought enough money to get into the park.
Step-by-step explanation:
Well, let's analyze the information provided:
Admission to the amusement park for 8 students is $ 100. If each student agreed to share of cost equally, it means that we must divide those 100, for each of those students.
Therefore it will remain 100/8 = 12.5
If each student must pay 12.5, and Noah brought $ 13, that means he will have enough money to enter the park, and he will even have $ 0.50 left over.
At our school, 2 out of 3 students is involved in an after school activity. How many of the 600 students are in an after school activity at our school?
A. 300
B. 350
C. 400
D. 450
to get to school Jenny decide to ride the school double decker bus it's a 30-minute ride the bus has a total of 20 rows of seats in each row has a capacity of four kids how many kids in total can ride the school bus
A pineapple has 9 grams of sugar per slice.
A watermelon has 18 grams of sugar per slice.
Which statement is true?
Hello duniarivero1986!
The correct answer is: For an equal number of slices, the watermelon will have twice as much sugar.
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Mario earns money mowing his neighbors' lawns. The revenue for mowing x lawns is r(x) = 25x. Mario's cost for gas and the mower rental is c(x) = 6x + 15. his profit from mowing is x lawns is p(x) = (r-c)(x). What is p(x)
Answer:
The value of p(x) is 19x - 15.
Step-by-step explanation:
Given,
The revenue mowing x lawns is, r(x) = 25x.
Also, Mario's cost for gas and the mower rental is c(x) = 6x + 15.
Hence, his profit from mowing is x lawns is,
p(x) = (r-c)(x) = r(x) - c(x) ( Subtracting functions property )
By substituting values,
p(x) = 25x - ( 6x+ 15 )
= 25x - 6x - 15 ( Associative property )
= 19x - 15
Can the sides of a triangle have lengths 2.8, 3.6, and 7.1?
yes or no
write equivalent fractions for 2/5 and 1/3 that could be used to find the sum of the fractions.
88 POINTS!!!
consider the function f(x)=x(x-4).
If the point (2+c,y) is on the graph of f(x), the following point will also be on the graph of f(x):
Select a Value
(c-2,y)
(2-c,y)
What is the approximate circumference of the circle
The length of a rectangular garden is 15 less than twice the width. The area is 3375 ft^2. What are the dimensions of the garden?
the volume of a cone is 36π cubic units. What is the volume of a cylinder that has the same base area and the same height?
Final answer:
The volume of a cylinder with the same base and height as a given cone is three times the volume of the cone, so if the cone's volume is 36π cubic units, the cylinder's volume would be 108π cubic units.
Explanation:
The question involves finding the volume of a cylinder when the volume of a cone with identical base and height is given. Since the volume of a cone is one-third the volume of a cylinder with the same base area and height, we can find the volume of the cylinder by using the formula for the volume of a cylinder, V = πr²h, and multiplying the given cone's volume by 3. Therefore, if the volume of the cone is 36π cubic units, the volume of the cylinder would be 108π cubic units, because the volume of the cone is exactly one-third of the volume of a cylinder.
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In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to predict the team’s best time for the race. (Answer) four minutes and twelve seconds
If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points. Which grade should be awarded 40 points?
Awnser=??<--(what is awnser?)
Answer:
The team’s best time for the race is 3.89. The team’s best time for the race is less than 4 minutes, therefore the eighth graders earn 40 points.
Step-by-step explanation:
It is given that the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds.
The team’s best time for the race is
[tex]56.81+59.22+57.39+60.11=233.53[/tex]
1 min = 60 sec
Using this conversion we get
[tex]\frac{233.53}{60}=3.892167\approx 3.89[/tex]
Therefore the team’s best time for the race is 3.89.
If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points.
Since the team’s best time for the race is less than 4 minutes, therefore the eighth graders earn 40 points.
To predict the team's best time for the race, add up the best times for each leg and convert the total to minutes and seconds. The eighth graders should be awarded 40 points.
Explanation:To predict the team's best time for the race, we need to add up the best times for each leg. The team's top speeds for the legs are 56.81s, 59.22s, 57.39s, and 60.11s. Adding these times together gives us a total of 233.53 seconds.
To convert this time to minutes and seconds, we divide the total by 60. The quotient is the number of minutes and the remainder is the number of seconds. Dividing 233.53 by 60 gives us approximately 3.89. So, the team's best time for the race is 3 minutes and 53 seconds.
Since the team's best time for the race is less than 4 minutes, the eighth graders should be awarded 40 points.
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A grocer has two kinds of candies: one sells for 90 cents per pound and the other sells for 40 cents per pound. How many pounds of each kind must he use to make 100 pounds he can sell for 85 cents per pound?