1. The attendance at the Cleveland arena was 20,311 people.
2. The largest arena can seat 1,800 more people than the smallest arena.
3. The estimated seating capacity difference between the Atlanta and Los Angeles arenas is 1,300.
4. The total attendance for the sold-out games is 37,124 people.
5. The combined capacity of the Cleveland and Boston arenas is 6,186 people greater than the biggest college basketball arena.
1. **Last night's game in Cleveland:**
The attendance at the Cleveland arena last night was 20,562 - 251 = 20,311 people. This is because the arena was 251 seats short of being filled to its full capacity.
2. **Difference in seating capacities:**
The difference in seating capacities between the largest (Los Angeles) and smallest (New Orleans) arenas is calculated by subtracting the smaller capacity from the larger one: 20,300 - 18,500 = 1,800. Therefore, the largest arena can accommodate 1,800 more people than the smallest arena.
3. **Estimate of seating capacity difference (Atlanta and Los Angeles):**
The estimated difference in seating capacities between the Atlanta and Los Angeles arenas can be obtained by rounding the capacities to the nearest hundred, making the calculation easier. The rounded capacities are 20,300 and 19,000, resulting in an estimated difference of 1,300.
4. **Attendance at sold-out games:**
The total attendance for the sold-out games in Boston and New Orleans is the sum of their individual capacities: 18,624 + 18,500 = 37,124 people.
5. **Combined capacity of Cleveland and Boston vs. biggest college arena:**
The combined capacity of the Cleveland and Boston arenas is 20,562 + 18,624 = 39,186 people. Since this is greater than the capacity of the biggest college basketball arena (33,000), the combined capacity of the Cleveland and Boston arenas is 6,186 people greater.
In summary, the attendance at the Cleveland arena last night was 20,311 people. The largest arena can seat 1,800 more people than the smallest arena. The estimated seating capacity difference between the Atlanta and Los Angeles arenas is 1,300. The total attendance for the sold-out games in Boston and New Orleans is 37,124 people. The combined capacity of the Cleveland and Boston arenas is 6,186 people greater than the biggest college basketball arena.
The question probable maybe:
Use the table for 1-5.
Basketball Arena Seating Capacities
____________________________
City Capacity
____________________________
Cleveland 20562
Boston 18624
Atlanta 20300
New Orleans 18500
Los Angeles 18997
_____________________________
1. Last night game at the arena in Cleveland was 251 seats short of being filled to capacity. how many people attended the game?
2. How many more people can be seated in the largest arena than can be seated in the smallest arena?
3. Estimate the difference in the seating capacities of the Atlanta and Los Angeles arenas. Explain how you made your estimate.
4. There are two sold-out basketball games tonight. One is at the arena in Boston, and the other is at the arena in New Orleans. How many people are attending the two games?
5. Write Math > The biggest college basketball arena seats 33,000. Is the combined capacity of the Cleveland and Boston arenas greater than or less than the capacity of the biggest college arena? How much greater or less? Explain.
Factor the following expression.
10x^5 + 5x^3 - 14x^2 - 7
A. (5x^3 + 7) (2x^2 -1)
B. (5x^4 + 7) (2x -1)
C. (5x^4 - 7) (2x + 1)
D. (5x^3 - 7) (2x^2 + 1)
So, I took the test already a million times already and I keep failing because of questions similar to this. I'd appreciate if you also explained the process instead of just giving an answer. Thank you!
PS: (5x^4 - 7) (2x + 1) is not the answer.
10x^5 + 5x^3 - 14x^2 - 7
= 5x^3(2x^2 + 1) - 7(2x^2 + 1)
= (5x^3 - 7)(2x^2 + 1)
Answer is D
(5x^3 - 7)(2x^2 + 1)
Answer:
D.
Step-by-step explanation:
Let's use common factor gruping terms. We have that we have a common factor between the two left terms and another common factor between the two right terms. Then,
for the two left terms we take the common divisor, in this case 5 and the x with the minimun exponent, that is 5x^3.
for the two right terms we take the common divisor, in this case -7 and the x with the minimun exponent, in this case the -7 has no x so we don't include it in the common factor.
[tex]10x^5 + 5x^3 - 14x^2 - 7 = 5x^3(2x^2+1)-7(2x^2+1)[/tex]
Now, we use common factor again, this time the common factor will be [tex]2x^2+1[/tex]:
[tex]10x^5 + 5x^3 - 14x^2 - 7 = 5x^3(2x^2+1)-7(2x^2+1)= (2x^2+1)(5x^3-7)[/tex].
Then, the answer is D.
The volume of a spherical tank is 790.272 pie cubic feet what is the
We are given the volume of a spherical tank = 790.272 π cubic feet.
We need to find the diameter of the container .
We know formula for volume of a sphere.
[tex]V=\frac{3}{4}(r^{3}\pi)[/tex]
Where r is the radius.
Plugging V= 790.272 π in the above formula, we get
[tex]790.272\pi =\frac{3}{4}(r^{3}\pi)[/tex]
Dividing both sides by π, we get
790.272 =[tex]\frac{4}{3}(r^{3})[/tex]
Multiplying both sides by 3, we get
2370.816 = [tex]4r^3[/tex]
Dividing both sides by 4, we get
592.704 = [tex]r^3[/tex]
Taking cube root on both sides, we get
r=8.4.
Diamater is 2 times of radius, that is 2 × 8.4 = 16.8
Therefore, the diameter of the container = 16.8 feet.
It rained on 3 out of every 5 days in the month of April. There are 30 days in April. On how many days did it rain that month?
3/5(30) = 18.
60% of the days in April it rained.
It rained 18 days in April.
Best of luck.
60% of it rained cause 3/5 is equaled to 60% so 18 Yeah.
Solve for t. −22t>66 Enter your answer, as an inequality, in the box.
t<-3 should be the answer. I hope this helps
Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 40.9, and 38 miles. Their solutions are shown.
If one kilometer equals 0.621 miles, which is the best solution to find the total number of kilometers they rode? Why is it correct?
Bruno is correct. When going from a larger unit to a smaller unit you need to divide.
Bruno is correct. When going from a smaller unit to a larger unit you need to divide.
Sam is correct. When going from a larger unit to a smaller unit you need to multiply.
Sam is correct. When going from a smaller unit to a larger unit you need to multiply.
We are given number of miles the 3 bike trips they took last month = 45.7, 40.9, and 38 miles.
Sam and Bruno were computing how many kilometers.
Also one kilometer equals 0.621 miles.
From this we can see than 1 kilometer is smaller unit and a mile is a larger unit.
In order to convert number of miles into kilometers, we need to divide each number of mile by 0.621 miles.
We always divide a larger value by a smaller value to get the smaller unit.
Therefore,
Bruno is correct. When going from a larger unit to a smaller unit you need to divide.what is the solution of 7k+2=4k-10?
There arre a total of 82 students in robotics club and the science club the science club has 6 fewer students than the robotics club. How many students are in the science club?
Answer:
88
Step-by-step explanation:
You are just adding 82+6=88
Determine the volume of a rectangle box with a link of 5 inches height of 7 inches and the width of 9 inches
Find the equation of the line that is perpendicular to y=3y-x=7 and contains the point (2,-1).
Blake looks at his checking account balance regularly. His three lowest balance during the year are as given. - $20 < -$12< - $ 3 select from the drop-down menus to correctly complete the statement The inequality statement shows that - $20 is a (lower or higher) which one is it Balance than -$12 and - $12 is a (Lower or higher) Which one is it balance than - $3
I believe the answers are lower and lower. -20 is lower than -12, and -12 is lower than -3
hey that is my name Blake -20 lower -12 high and -3 higher
Today only, a table is being sold at a 27% discount. The sale price is $438 . What was the price yesterday?
It is $600. Hope i helped
A coyote weighs 11.3 lb convert the coyotes weight to ounces
1 lb = 16 ounces
11.3 lb x 16 oz = 180.8 ounces
11.3 lb equals 180.8 oz
Answer: 180.8 ounces
Step-by-step explanation: To convert 11.3 pounds to ounces, first find the conversion factor for pounds and ounces.
Conversion factor → 16 ounces = 1 pound
Next, notice that we are going from a larger unit "pounds" to a smaller unit "ounces." When we go from a larger unit to a smaller unit we multiply.
Larger ⇒ smaller multiply
In this case, we multiply 11.3 pounds by our conversion factor which is 16 ounces.
11.3 × 16 = 180.8 oz.
This means that 11.3 pounds is equal to 180.8 ounces.
using the distributive property method on 6x32 and 7x29
[tex]6\cdot32=6(30+2)=(6)(30)+(6)(2)=180+12=192\\\\7\cdot29=7(30-1)=(7)(30)-(7)(1)=210-7=203[/tex]
Answer:
Step-by-step explanation:
I don’t know how to do this question
let x represent the number of apples and y represent the number of oranges.
TOTAL: x + y = 112
y = 112 - x
PEELED: [tex]\frac{3}{8}x = \frac{1}{2}y[/tex]
[tex](8)\frac{3}{8}x = (8)\frac{1}{2}y[/tex]
3x = 4y
3x = 4(112 - x)
3x = 448 - 4x
7x = 448
x = 64
y = 112 - x
= 112 - 64
= 48
a) There are 64 apples and 48 oranges
Peeled apples: [tex]\frac{3}{8}x = \frac{3}{8}(64)[/tex]= 3(8) = 24
Unpeeled apples: 64 - 24 = 40
Unpeeled - Peeled: 40 - 24 - 16
b) there are 16 more unpeeled apples than peeled apples
Chen rode his stake board 3 3/4 miles of an hour. What was his average speed in miles per hour?
3 3/4 miles as a decimal is 3.75 miles. He rode for one hour. Average speed within an interval is (distance made) / (interval duration). So the average speed = 3.75 miles / 1 hour, or 3.75 mph.
How to represent the number 8.2 using base 10 blocks. How much each size blocks is worth?
To represent 8.2 using base 10 blocks, you need 8 one blocks and 2 tenth blocks, where one blocks represent 1 and tenth blocks represent 0.1. This method is effective for visualizing numbers in base 10.
Explanation:To represent the number 8.2 using base 10 blocks, we use different sizes of blocks to represent different place values in base 10.
Each size block is worth a different value based on its place in the number.
A hundred block represents 100.A ten rod represents 10.A one block represents 1.A tenth block (also known as a flat or a piece of flat) represents 0.1.To represent 8.2, we would need:
8 one blocks (because 8 is in the ones place).2 tenth blocks (because 2 is in the tenths place, representing 0.2).This method of representation helps in visualizing and understanding the value of numbers in the base 10 system. It's particularly useful in educational settings for explaining the concept of place values and decimals.
What is 20k+11=8k+1 find k
k=-5/6 would be your answer
The answer you are looking for is K = -5/6.
To find this, you must get K by itself. First, subtract 8k from both sides to get 12k + 11 = 1. Next, subtract 11 from both sides to get 12k = -10. Finally, divide both sides by 12 to get K = -10/12, which simplified, is -5/6. Thus making -5/6 the answer.
I hope this helps!
you have already saved $55. you earn $9 per hour at your job. you are saving for a bicycle that cists $199. what inequality represents the possible numbers of hours you need to work to buy the bicycle ?
The sum of two numbers is 21. One number is three less that the other. Find the numbers.
If you look at clue #2 first then you see that if you know one of the numbers then the other number is 3 less than it, so if I let one of the numbers be x then the other is
x - 3. Now clue # 1 says the sum of the two numbers is 21 so
x + (x - 3) = 21
12+9=21 because 12-3=9 and 9+12 is 21
What is another way to write 2.64 x 100
264. Is another way once you multiply it.
need help asap im not good at math
g(x):
flip f(x) over x-axist and next translate 2 units down.
Look at the picture.
Therefore your answer is: B. g(x) = -x² - 2Translations
y = f (x) + m up m units
y = f (x) - m down m units
y = f (x + m) left m units
y = f (x - m) right m units
Stretches/Shrinks
y = n · f (x) stretch vertically by a factor of n
y = 1/n · f (x) shrink vertically by a factor of m (stretch by 1/n)
y = f (1/n x) stretch horizonally by a factor of n
y = f (nx) shrink horizontally by a factor of n (stretch by 1/n)
Reflections
y = - f (x) reflect over x-axis (over line y = 0)
y = f (- x) reflect over y-axis (over line x = 0)
x = f (y) reflect over line y = x
PLEASE HELP!!!!!
Which linear equation is in slope-intercept form? A) y = mx + b B) Ax + By = C C) y - y1 = m(x - x1) D) x - x1 y - y1 = m
Answer:
A) y=mx+b
Step-by-step explanation:
The slope-intercept form is simply the way of writing the equation of a line so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are immediately apparent. Often, this form is called y = mx + b form.
PLZ HELP ASAP
The system of equations is graphed on the coordinate plane.
y=−12x−1y=14x−4
Enter the coordinates of the solution to the system of equations in the boxes.
Answer-
The coordinates of the solution to the system of equations is (4, -3)
Solution-
According to the graph the equations are,
[tex]y=-\frac{1}{2}x-1\\\\y=\frac{1}{4}x-4[/tex]
We can get the coordinates of the solution to the system of equations, by substitution.
[tex]\Rightarrow y=\frac{1}{4}x-4[/tex]
Putting the value of y in first equation,
[tex]\Rightarrow \frac{1}{4}x-4=-\frac{1}{2}x-1[/tex]
[tex]\Rightarrow \frac{1}{4}x+\frac{1}{2}x=-1+4[/tex]
[tex]\Rightarrow \frac{3}{4}x=3[/tex]
[tex]\Rightarrow x=3\times \frac{4}{3}[/tex]
[tex]\Rightarrow x=4[/tex]
Putting the value of x in the first equation,
[tex]y=-\frac{1}{2}\times 4-1=-2-1=-3[/tex]
Therefore, the coordinates of the solution to the system of equations is (4, -3)
The ratio of the prices of Emma's phone to Sophie's phone is 7:8. If Sophie's phone costs $640, how much should the prices of their phones decrease in order to have a ratio of 9:11 ?
Let cost of Emma's phone = x
Given that cost of Sophie's phone = 640
Then ratio of their phones cost will be x:640 or x/640
Given that ratio of their phones cost is 7:8 or 7/8
So both ratios will be equal.
[tex]\frac{x}{640}=\frac{7}{8}[/tex]
[tex]x=\frac{7}{8}*640[/tex]
x=560
So the new ratio of the cost of their phones will be 560:640
Now we have to find about how much should the prices of their phones decrease in order to have a ratio of 9:11.
So let that decreased amount is k then we will get equation :
[tex]\frac{560-k}{640-k}=\frac{9}{11}[/tex]
11(560-k)=9(640-k)
6160-11k=5760-9k
6160-5760=11k-9k
400=2k
200=k
Hence final answer is prices of their phones should decrease by 200 in order to have a ratio of 9:11.
Answer:
For the ratio between the price of the phones to be 9:11, the price of Emma's phone must decrease from $ 560 to $ 523.66. That is, the price of Emma's phone should decrease $ 36,364
Step-by-step explanation:
To answer this question, call x on Emma's phone and z on Sophie's phone.
We know that the price relationship between x and z is 7: 8
This means that:
[tex]\frac{7}{8} =\frac{x}{z}[/tex]
We know that the price of Sophie's phone is $ 640
Entoces z = 640
Now we clear x
[tex]\frac{7}{8} =\frac{x}{640}\\ x =640}\frac{7}{8}=560\\ x = 560[/tex]
Then, if the new relationship is 9:11 then:
[tex]\frac{9}{11} =\frac{x}{640}[/tex]
x = $523,636
For the ratio between the price of the phones to be 9:11, the price of Emma's phone must decrease from $ 560 to $ 523.66. That is, the price of Emma's phone should decrease $ 36,364
Solve for x over the complex numbers. x^2+8x+20=0
X= or X=
Steps:
[tex]x=\frac{-8+\sqrt{8^2-4\cdot \:1\cdot \:20}}{2\cdot \:1}: -4+2i[/tex]
[tex]x=\frac{-8-\sqrt{8^2-4\cdot \:1\cdot \:20}}{2\cdot \:1} -4-2i[/tex]
=\frac{-8-\sqrt{16}i}{2\cdot \:1}[tex]=-8-\sqrt{16}i[/tex]
[tex]=\frac{-8-\sqrt{16}i}{2}[/tex]
[tex]=\frac{-8-4i}{2}[/tex]
[tex]=-2\left(2+i\right)[/tex]
[tex]=-4-2i[/tex]
[tex]x=-4+2i,\:x=-4-2i[/tex]
Answer:you can use the quadratic formula but if you have to factor do the following:
x^2+8x+20=0
add -4 to both sides of the equation to complete the square
x^2+8x+20+(-4)=0+(-4)
x^2+8x+16=-4
(x+4)^2=-4
take the square root of both sides
x+4=+sqrt(-4)
x+4=+sqrt[(4)(-1)]
x+4=+2sqrt(-1) where sqrt(-1)=i, a complex number
x+4=+2i
x=-4+2i
x=-4+2i and x=-4-2i
you would get the same answer using the quadratic formula
Step-by-step explanation:
Henrieta divided 0.80 by 20 as shown. Is her work correc? If not , explain why and give a correct response.
Henrieta's work is incorrect. The correct answer is 0.04.
Explanation:No, Henrieta's work is not correct. To divide 0.80 by 20, we need to divide the numerator (0.80) by the denominator (20).
Dividing 0.80 by 20, we get 0.04.
Therefore, the correct answer is 0.04.
Learn more about Division here:https://brainly.com/question/2273245
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How to find X intercept and Y intercept from a slope intercept equation
To find the X and Y intercepts from a slope intercept equation, first understand the equation structure (y = mx + b). The 'm' signifies the slope, and the 'b' indicates the y-intercept. To find the x-intercept, set y to zero and solve for x. To find the y-intercept, look at the 'b' value.
Explanation:In a slope intercept equation written in the form y = mx + b, the x-intercept and y-intercept are determined by values of y and x when they equal zero respectively. The 'm' signifies the slope of the line, indicating the rise over run on the graph, and the 'b' indicates the y-intercept, which is the point at which the line intersects the y axis.
To find the y-intercept from a slope-intercept equation, you consider the 'b' in the equation. For instance, in the line graph, the y-intercept is 9, meaning the line crosses the y-axis at the point (0,9).
To find the x-intercept (the point where the line crosses the x-axis), you set y equal to zero and solve for x. If 'y' is equal to '0', then the equation becomes 0 = mx + b. Solving for 'x' in this equation will give the x-intercept.
Learn more about Slope Intercept Equation here:https://brainly.com/question/17878329
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78 boxes of dvd, each box has 116 in it. 19 boxes are shipped, how many are left
78 - 19 = 59
If you're looking for the number of boxes that are left, its 59, but if you are looking for how many DVDs are left then you would proceed to do:
116 · 59 = 6844
6844 would be the number of DVDs that are left in the remaining boxes.
8 more than 5 times a number is -27
8 + 5n = -27
5n = -35
n = -7
what is a reasonable estimate for the product 43x68
You would first try to round the numbers to the nearest 10 and then multiply for a reasonable estimate. In other words, 40x70=2800