A sheet of plywood was made by gluing 7 sheets of wood together.
2 of the sheets were 0.0625 inch thick and the rest were 0.125 inch thick.
how thick was the plywood?
tickets to the local basketball arena cost $54 for lower bowl seats and $20 for upper bowl seats. A large group purchased 123 tickets at a cost of $4,262. How many of each type of ticket did they purchase? help me please i nee the answer and can you please explain too
The number of lower bowl seats an upper bowl seats tickets to the local basketball arena bought by group is 53 and 70 respectively.
What is system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Tickets to the local basketball arena cost $54 for lower bowl seats and $20 for upper bowl seats. A large group purchased 123 tickets at a cost of $4,262.Let the number of lower bowl seats purchased by group is x and upper bowl seats is y. As number of ticket purchased is 123. Thus,
[tex]x+y=123[/tex]
Solve it further,
[tex]x+y=123\\x=123-y[/tex] ....1
The total cost of ticket is 4262. Thus,
[tex]54x+20y=4262[/tex]
Put the value of x in this equation,
[tex]54(123-y)+20y=4262\\6642-54y+20y=4262\\-34y+20y=4262-6642\\-34y=-2380\\y=\dfrac{2380}{34}\\y=70[/tex]
Put this value in equation 1,
[tex]x=123-70\\x=53[/tex]
Thus the number of lower bowl seats an upper bowl seats tickets to the local basketball arena bought by group is 53 and 70 respectively.
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Please help. I don't know how to answer this.
3(x+1)-2(3x+7) i need help with this question
how are the perimeters of two similar figures related?
The length of a rectangle is twice the width. If the perimeter of the rectangle is 60 units, find the area of the garden.
Set the following: Length = L Width = W
The length is twice the width: L = 2*W or: W = L/2
Perimeter: P = 60ft = 2*L + 2*W
Substituting L for W in the perimeter equation gives:
P = 60ft = 2*L + 2*(L/2) = 2*L + L = 3L
L = 60ft/3 = 20ft W=L/2=20ft/2=10ft
Verify result: Perimeter= P = 60ft = 2L + 2W = 2*20ft +2*10ft = 40ft+20ft = 60ft
The area of the rectangular is: Area = A = Length*Width = L*W = 20ft*10ft = 200 (ft)^2
Hopefully This Helps!!
Final answer:
To find the area of a rectangle when the perimeter is given, determine the dimensions using the relationship between length and width and then calculate the area. In this case, the area of the garden is 200 square units.
Explanation:
The length of a rectangle is twice the width. If the perimeter of the rectangle is 60 units, find the area of the garden.
Let the width of the rectangle be x. Therefore, the length is 2x.
The perimeter of a rectangle is given by 2(length + width), which in this case is 2(2x + x) = 60 units.
Solving for x, we get x = 10. Therefore, the width is 10 units and the length is 20 units. The area of the garden is length x width = 20 x 10 = 200 square units.
is it possible for number to be a rational number that is not an integer but is a whole number explain
what number is midway between 1/7 and 1/5. show your work
two angles are supplementary if the sum of their measures is 180 degrees. find two supplementary angles such that the smaller is 30 degrees more than one-half of the larger.
step by step please
Solve for x. -16 = 8x/5
x = 10
x = -10
x = -25
how to solve cube roots
Final answer:
To solve cube roots, follow these steps: estimate, test, adjust, refine, and round the final answer.
Explanation:
To solve cube roots, you need to find the number that, when multiplied by itself three times, gives you the original number. Here are the steps:
Start with the cube root symbol (∛) and the number you want to find the cube root of.Estimate the cube root by finding a number that, when cubed, is close to the original number.Test your estimate by cubing it and comparing it to the original number.If your estimate is too high or too low, adjust it and repeat the testing step.Once you have a good estimate, refine it by using a calculator or a computer program.Round the final answer to an appropriate number of decimal places.A truck driver drove 120 miles in 1 3/4 hours what is the speed of the truck in miles per hour
Which symbol correctly compares the two fractions? Use > , < , or =. Enter your answer in the box. 2/4 3/8
The greater than symbol, ">," accurately compares the two fractions because 2/4 > 3/8. They are 2/4 and 3/8, respectively.
what are symbols ?something that represents another item. especially: something tangible that denotes or implies something else that is not itself imaginable or demonstrable. The lion is a representation of bravery. an alternative to a word or combination of words, such as a letter, character, or sign.
given
= 2/4 = 0.5
= 3/8 = roughly 0.37
The greater than symbol, ">," accurately compares the two fractions because 2/4 > 3/8.
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Final answer:
To compare 2/4 and 3/8, simplify 2/4 to 1/2, then convert to eighths, resulting in 4/8. Since 4/8 is greater than 3/8, 2/4 is greater than 3/8.
Explanation:
To compare the fractions 2/4 and 3/8, we need to find a common denominator or convert them to a common form such as decimals.
The simplest way is to notice that 2/4 can be simplified to 1/2.
Now, if we convert 1/2 to eighths, we get 4/8 because we multiply both the numerator and denominator by 4 to get the common denominator of 8 (1 x 4)/(2 x 4) = 4/8.
Comparing 4/8 with 3/8, we can see that 4/8 is larger than 3/8, as 4 is greater than 3.
Hence, the correct inequality symbol to compare 2/4 and 3/8 is ">".
According to the transitive property of inequality which states that if a > b and b > c then a > c, if 4/8 > 3/8 and 2/4 is equal to 4/8, then 2/4 > 3/8.
David charges $15 plus $5.50 per hour to mow lawns Arie charges $12 plus $6.25 per hour to mow lawns. In what situation is Aries charge greater than or equal to David’s charge?
Calvin Butterball is driving along the highway. He starts up a long, straight hill. 114 meters from the bottom of the hill Calvin's car runs out of gas. He doesn't put on the brakes, so the car keeps rolling for awhile, coasts to a stop, then start rolling backwards. He finds that his distances from the bottom of the hill 4 and 6 seconds after he runs out of gas are 198 and 234 meters, respectively. b.Write an equation expressing Calvin's distance from the bottom of the hill in terms of the number of seconds which have elapsed since he ran out of gas.
Final answer:
To determine Calvin's distance from the bottom of the hill in terms of the number of seconds since running out of gas, we can use the equation of motion for uniformly accelerated motion.
Explanation:
To write an equation expressing Calvin's distance from the bottom of the hill in terms of the number of seconds that have elapsed since he ran out of gas, we can use the equation of motion for uniformly accelerated motion.
Calvin's initial position at 0 seconds is 114 meters, and his final position at 4 seconds is 198 meters. Plugging these values into the equation:
d = vi x t + 0.5 x a x t²
we can solve for the acceleration, a:
a = (d - vi x t) / (0.5 x t²)
Substituting the values of d = 198m and t = 4s, we get:
a = (198m - 114m) / (0.5 x (4s)²)
After obtaining the acceleration, we can use the equation to find Calvin's distance from the bottom of the hill at any time after running out of gas.
Circle the ordered pairs that are solutions to the inequality y - 2x < - 1.
(1, 0)
(0, 1)
(0, -1)
(-1, 0)
(3, 2)
(-2, -4)
(2, 4)
(-4, 2)
(0, 0)
Please help!
How to simplify each expression
2/3(7w + 4) - 1/3 (2w - 1 )
(3-7m) +2(3.5m+ 1)
Salama makes fruit baskets with oranges and bananas. She uses between 8 and 16 oranges and bananas in a ratio of 3 oranges to 2 bananas. Drag the correct number of fruit into the box to meet these requirements.
Answer:
[tex]\frac{6 \ oranges }{4 \ bananas}[/tex] and [tex]\frac{9 \ oranges}{6 \ bananas}[/tex]
Step-by-step explanation:
An image is missing here. However, using the given ratio we can find different representations of fruits.
We know that the ratio between oranges and bananas is
[tex]\frac{3 \ oranges}{2 \ bananas}[/tex]
So, if she uses between 8 and 16 oranges and bananas, we can only use ratios that fall between this numbers.
Some ratios that represent this situation are
[tex]\frac{6 \ oranges }{4 \ bananas}[/tex] using 10 oranges and bananas.
[tex]\frac{9 \ oranges}{6 \ bananas}[/tex] using 15 ranges and bananas.
This two ratios are the ones that can be used, because other ratios don't fall between the interval (8,16).
Therefore, the valid ratios here are
[tex]\frac{6 \ oranges }{4 \ bananas}[/tex] and [tex]\frac{9 \ oranges}{6 \ bananas}[/tex]
Answer:
9 orange
6 bananas
Step-by-step explanation:
Henry bought a movie tickets for himself and 6 of his friends.each movie ticket cost $7.85.How much money did Henry spend on tickets?
Tasha finished the first draft of her history essay. The teacher said it had to be at least six hundred words long. She counted in her draft and found she had 369. How many more words does she need to meet the minimum words count for the assignment?
what is 0.13 +(-5.7)
find the sum of the first 13 terms in the series -5+1+7...+67
8 hundreds 4 tens = 84 blank
It takes 37 pounds of seed to completely play a 4 acre field how many acres can be planted per pound of seed
how do you simplify -7 |7|
Andy runs 436.8 meters in 62.08 seconds. I’d Andy runs at a constant speed, how far does he run in one second? Give you answer to the nearest tenth of a second.
What is the unit price for thecans
PLease help ME!!!!!!!!!!!!!!!!!!
Conduct a poll of adults and students in your area. Ask them how much time they spend online each week that is not for work or school. Describe how you conducted the poll and record the results of the poll in an organized manner below.
Tony spent $11.52 for some pens that were on sale for $.72 each how many pens did Tony bye
james scored 300 runs in cricket. he requires 900 runs to qualify for league MVP contention. he scores 50 runs during the average of the game. how many games does he have to plsy to score the remaining runs he needs?
James needs to score a total of 900 runs for MVP contention. Subtracting the 300 runs he has already made from the 900 required leaves 600 runs. By dividing these 600 remaining runs by his average of 50 runs per game, we find that James needs to play 12 more games.
James currently scored 300 runs and needs a total of 900 runs for MVP contention. To find out how many more games he must play, we need to calculate the remaining runs required and divide that number by the average runs he scores per game. The remaining runs needed are 900 - 300, which equals 600. As James scores an average of 50 runs per game, we divide the remaining runs, 600, by 50 to find the number of games he needs to play.
600 ÷ 50 = 12 games
Therefore, James will need to play 12 more games to score the remaining runs he requires for league MVP contention.