Answer:
Option (d).
Step-by-step explanation:
Given that,
The area of a Football field is 57,600 sqft
The dimensions of Basketball court is 84ft x 50ft
We need to find what fraction of the football crowd would fit on the court. Taking ratio of the area of basket ball court to the football court as follows :
[tex]R=\dfrac{84\times 50}{57,600}\\\\R=\dfrac{7}{96}\ =\ 0.0729[/tex]
It is less than a tenth. Hence, the correct option is (d).
write in slope-intercept form.
m=7/2 and the y-intercept is -5
Answer: Y = 7/2x -5
Step-by-step explanation:
slope intercept equation:
y = mx + b
plug in what you are given
y = (7/2)x (-5)
Find the pattern. What numbers come next?
40, 36, 32, 28,
A 24, 19, 14
B 24, 20, 16
C 25, 22, 19
D 22, 16, 10
The complete pattern is 40, 36, 32, 28,24, 20, 16.
The correct option is (B).
What is Series?A series in mathematics is the total of a given set of terms. Real or complex numbers are typically used when referring to these words, however considerably more generality is available.
A series is a sequential grouping of letters, numbers, or both that is set up so that each term is derived in accordance with a set of principles.
Given:
series: 40, 36, 32, 28
As, if we read the pattern we see that there is difference of 4 between each succeeding term.
40-4 =36
36-4 = 32
32 -4= 28
So, the next three term will be
28-4 = 24
24-4= 20
20-4 = 16
Hence, the complete pattern is 40, 36, 32, 28,24, 20, 16.
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Identify the transformation that maps the regular pentagon with a center (0, -2) onto itself.
Answer: C) Rotate 144 degrees about the point (0,-2)
======================================================
Explanation:
We can rotate clockwise or counterclockwise to get the same effect.
One way to picture this is to imagine two copies of that pentagon shown. Let's say one is blue and the other is red. Think of it as a copy/paste. If we keep the blue one the same, but rotated the red one 144 degrees (either clockwise or counterclockwise), then the blue and red figures will match up perfectly. The red will overlap the blue.
Why 144? Because we divide 360 degrees over n = 5 which is the number of sides. So 360/n = 360/5 = 72 is the angle of rotation. Each rotation of 72 degrees in either direction has the red and blue figures matching up. Two rotations lead to 2*72 = 144. So you can replace '144' with any multiple of 72 as long as its between 0 and 360.
The center of rotation must be the center of the pentagon. Any other center of rotation will have the red and blue figure likely not matching.
Which situation best represents the following equation?
15+.15x < 25+.05x
A Ibin is renting a car and is comparing two companies. Cars-R-Us charges $15 per day plus 15 cents per
mile. Cars-Unlimited charges $25 per day plus 5 cents per mile. What is the minimum number of miles
he must drive each day for Cars-Unlimited to be his cheapest option?
B Ibin is renting a car and is comparing two companies. Cars-R-Us charges $15 per day plus 5 cents per
mile. Cars-Unlimited charges $25 per day plus 15 cents per mile. What is the minimum number of
miles he must drive each day for Cars-Unlimited to be his cheapest option?
C Ibin is renting a car and is comparing two companies. Cars-R-Us charges $15 per day plus 15 cents per
mile. Cars-Unlimited charges $25 per day plus 5 cents per mile. What is the maximum number of
miles he must drive each day for Cars-Unlimited to be his cheapest option?
D Ibin is renting a car and is comparing two companies. Cars-R-Us charges $15 per day plus 5 cents per
mile. Cars-Unlimited charges $25 per day plus 15 cents per mile. What is the maximum number of
miles he must drive each day for Cars-Unlimited to be his cheapest option?
Answer:
A Ibin is renting a car and is comparing two companies. Cars-R-Us charges $15 per day plus 15 cents per mile. Cars-Unlimited charges $25 per day plus 5 cents per mile. What is the minimum number of miles he must drive each day for Cars-Unlimited to be his cheapest option?
Step-by-step explanation:
Given the following:
Cars-R-Us charges:
$15 per day plus 15 cents = (15/100)=0.15 per mile.
Hence, given number of days = 1 ; number of miles = x
Total Cars-R-Us charges:
$15 + 0.15x
Cars-Unlimited charges:
$25 per day plus 5 =(5/100)=0.05 cents per mile
25 + 0.05x
15+.15x < 25+.05x
0.15x - 0.05x < 25 - 15
0.1x < 10
x < 10/0.1
x < 100
Hence, the expression represents that greater than 100 miles must be driven for Cars unlimited to be the cheaper.
Answer:
a
Step-by-step explanation:
took test
Solve 13 ASAP PLEASE
Answer:
Step-by-step explanation:
Apricot Sulphur 2.625
White-angled Sulphur 3.5
Great White = sqrt(17) = 4.123
Suppose that P and Q are points on the number line.
If PQ=7 and P lies at -16, where could Q be located?
at southside middle school, 30% of the students play and instrument. there are 310 students. how many students play an instrument?
Answer:93 students play a musical instrument
5. An investment doubles in value every 9 years. What was the starting value of the investment if
it is worth $4,800 after 27 years?
Answer:
16,00
Step-by-step explanation:
9 years is the (time)
divide the 27 years by 9 to see how many times it doubles
the ans is 3
now simply divide the value which is $4,800 by the 3
this gives you 1,600
What is 3/5 divided by 2/5?
Answer:
3/2
Step-by-step explanation:
flip the second fraction so its 3/5 times 5/2
cross multiply to get rid of the 5s and get 3/2
Answer: The answer is 1.5!
Step-by-step explanation: hope I could help
Imaginary Numbers what is i^16
A 1
B i
C -1
D -i
Answer:
A: 1
Step-by-step explanation:
[tex]i^{16}=\left(i^2\right)^8=\left(-1\right)^8=1[/tex]
Answer: A. 1
Step-by-step explanation:
The idea of imaginary number is [i]=√-1, which usually occurs to be undefined in the real number system.
i=√-1
i^2=-1
i^3=-i
i^4=1
In the following question, it is asked to find i^16.
In order to find it, we divide 16 by 4, so to find which place it lands on.
16÷4=4
It is a perfect division, so it lands on i^4, which is 1
Assume that there are two pairs of congruent triangles in the diagram shown.
ROB congruent to PTA
True
False
Answer: True
Step-by-step explanation:
If the triangles are congruent it means they are the same therefore ROB is congruent to PTA
Find the slope of the line from the equations: y = -2/3x – 1
Answer:
slope = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{2}{3}[/tex] x - 1 ← is in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
Answer:
-2/3
Step-by-step explanation:
[tex]y = - \frac{2}{3} x - 1 \\ equating \: it \: with \: \\ y = mx + b \\ m \: = - \frac{2}{3} \\ slope \: of \: line \: = - \frac{2}{3}[/tex]
What is the slope represented by the following table. X-1,0,1,2. Y6,4,2,0
I'm pretty sure the answer is D.-2
pls correct me if im wrong
A minor league baseball pitcher threw 18 strikes in his first 40 pitches for a strike percentage of 45%. He wants to raise this percentage to 60% by throwing a certain number of strikes in a row. To model this, he thought of the rational expression x+18x+40. What does x represent in this expression?
A.The number of consecutive strikes the pitcher must throw to raise his percentage to 60%.
B. The total number of strikes the pitcher will throw throughout the game.
C.The total number of balls the pitcher will throw throughout the game.
D. The number of balls that the pitcher has already thrown.
Answer:
Its B I think if u choose B u will like me
erica drove from ottawa at 80 km/h. kareem left an hour later and drove along the same road at 100 km/h. how far was kareem when he caught up to erica?
please answer this asap!!
Answer:
let us assume that the distance from Ottawa at which they meet each other is 'x' km. Then the time it took For Erika to travel this distance is:
t_Erika = x/80
kareem started 1 hour after Erika. So the time it took for Kareem to cover that 'x' distance is (including the 1 hour delay time):
t_Kareem = 1 + x/100
These two times must be equal to each other since they meet at this point of time. Setting them equal and solving for x:
t_Erika = t_Kareem
x/80 = 1 + x/100
x/80 - x/100 = 1
5x/400 - 4x/400 = 1
(5x-4x)/400 = 1
x/400 = 1
x = 400 km
A company’s stock was selling at $25 a share a month later it was selling at $30 a share what is the percent increase
Answer:
20% increase
Step-by-step explanation:
To find the percent increase, you can divide the increase value by the original: 30/25 = 1.2 --> 120%. Next, since they ask for the percent of increase, you can subtract 1 or 100% from your answer which would give you a final answer of 20% increase.
When you earn the same amount of money no matter how many hours you work – Question 1 options: Wage Salary Income
Answer:
Salary
Step-by-step explanation:
a wage is based off hours you work and income is how much you make either way.
Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received c fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren.How many cookies did Cindy receive
Answer:
12-c
Step-by-step explanation:
Let c be Cindy's cookies
Solution:
Each child should have gotten 12 cookies because 96/8 is 12 but Cindy got c less so the answer would be 12-c.
Can someone please tell the correct answer
third one is the correct answer.
Car Payments
Your aunt bought a new car After three months of car payments she owed a total of
$22 275 to the bank for the car loan. After 12 months, she owed $18,900 to the bank
for the car loan What was her average payment rate on the principal of the car loan
during this time?
13. 22.2757
(12, 18,000)
24,000
20,000
Money Owed 16,000
(dollars)
12.000
8,000
4,000
2
12
4 6 8 10
Time months)
CHECK
per month
O
Type here to search
What was her average payment rate on the principal of the car loan during this time?
Answer:
$375
Step-by-step explanation:
Given the following :
Amount owed after three months of payment = $22,275
Amount owed after 12 months = $18,900
What was her average payment rate on the principal of the car loan during this time?
We can obtain the amount paid between the third month and the 12th months ;
(Amount owed after 12 months - amount owed after 3 months)
= ($22,275 - $18,900)
= $3,375
Number of months for which the payment above was made :
(12 - 3) = 9 months
Payment per month :
Amount paid / number of months
= 3375 / 9
=$375 per month
Look at the data set below,
{6,7, 12, 5, 7, 11, 10, 7, 6}
In this data set, what is the mode?
06
7
10
O 12
Answer: 7
Step-by-step explanation:
because it occurs 3 times and is the most frequent
Answer:
B. 7
Step-by-step explanation:
Mode is the number that occurs the most amount of times.
The equation 201.50 = f +6.50(21) represents the cost of printing the shirts at
a second printing company. Find the solution to the equation and state what it
represents in this situation.
Answer: 65
Step-by-step explanation:
It represents the setup fee
f is the intercept and represents the initial fee or setup cost. Hence, the setup cost is 65.
The given equation is 201.50 = f +6.50(21).
We need to find the solution to the equation and state what it represents in this situation.
What is an equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
Now, the equation 201.50 = f +6.50(21) can be solved as follows:
201.50 = f + 136.5
⇒f = 65
f is the intercept and represents the initial fee or setup cost. Hence, the setup cost is 65.
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Translate equations 9th grade
Answer:
5) 50 = x - 12
6) 2(x + y) = z
7) 16 = 8y
8) 2(x - 3) = 9
9) 11/v = 7 - x
10) 5 * (9 - x)
I hope this helps you <3!
Answer:5) 50 = x - 12
6) 2(x + y) = z
7) 16 = 8y
give me brainliest!!!!!!!!!
8) 2(x - 3) = 9
9) 11/v = 7 - x
10) 5 * (9 - x)
Step-by-step explanation:
What is the answers for expanded form 72.3 7.023 0.723
Answer:
look below
Step-by-step explanation:
72.3 = 70 + 2 + .3
7.023 = 7 + .02 + .003
.723 = .7 + .02 + .003
Hopefully this helps you :)
pls mark brainlest ;)
For 6x + 5 = 27, if x = 4 is it true or false
Answer: the answer is 29.
Step-by-step explanation: multiple 6 by 4 to get 24, and then add 5 = 29.
The linear equation in one variable 6x + 5 = 27, is not satisfied by the value of x = 4, so x = 4 is false value of the given equation.
What are linear equations in one variable?The simplest equation used to express and solve for an unknown quantity is a linear equation in one variable. It's simple to depict graphically since it's always a straight line. A linear equation is a simple technique to convey a mathematical proposition. Unknown quantities can be represented by any variable or symbol, however, in most cases, the unknown quantity in a linear equation in one variable is represented by the variable 'x'. A collection of basic strategies are used to solve a linear equation. To determine the final value of the unknown quantity, the variables are isolated on one side of the equation and the constants are isolated on the other side of the equation.
How do we solve the given question?We are asked to check whether x = 4 is the true or false value of the linear equation in one variable: 6x + 5 = 27.
To check whether x = 4 is the true or false value, we need to substitute the value of x = 4 in the equation and check if the left-hand side of the equation and right-hand side of the equation is the same. If they are the same, x = 4 is the true value. If they are not the same, then x = 4, is the false value.
Substituting x = 4 in the equation 6x + 5 = 27, we get:
6(4) + 5 = 27
or, 24 + 5 = 27
or, 29 = 27, which is not true.
Since the left-hand side and right-hand side of the equation are not the same, x = 4 is a false value of the equation 6x + 5 = 27.
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On average, a refrigerator door is opened 99 times each day. Len has two refrigerators in his house. Based on this average, about how many times in a 8−week period are the refrigerator doors opened? The refrigerator doors are opened about times.
Given :
On average, a refrigerator door is opened 99 times each day.
Len has two refrigerators in his house.
To Find :
How many times in a 8−week period are the refrigerator doors opened.
Solution :
Number of times door opened for 2 refrigerator , n = 99×2 = 198.
Number of days in 8 week , d = 8×7 = 56 days.
So, total number of times doors open in a period of 8-week is :
[tex]T=n\times d\\\\T=198\times 56\\\\T=11088\ times[/tex]
Therefore, refrigerator doors are opened about 11088 times.
Hence, this is the required solution.
(x+13)+( 4x+2 ) =180
Answer:
x=33
Step-by-step explanation:
x+13+4x+2=180
4x+x=5x
13 plus 2 =15
5x+15=180
subtract 15 from both sides
180-15=165
5x=165
divide 5 from both sides
x=33
Naomi can text 90 words in 12 minutes. At this rate, how many minutes would it take her to text 165 words?
Answer:
Step-by-step explanation:
here cuhh
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Simplify (x^14)^3
Pls help!!
Hey there!☺
[tex]Answer:\boxed{x^4^2}[/tex]
[tex]Explanation:[/tex]
[tex](x^1^4)^3[/tex]
Now multiply the two exponents(14 and 3):
[tex]14*3=42[/tex]
Now make 42 as the power of x:
[tex]x^4^2[/tex]
x^42 is your answer.
Hope this helps!☺
Answer:
x^42
Step-by-step explanation:
Reflect square ABCD over the y-axis A(2, 3) * B * (2, 6) C(5, 6) * D * (5, 3)
Step-by-step explanation:
A(2,3)=A'(-2,3)
B(2,6)=B'(-2,6)
C(5,6)=C'(-5,6)
D(5,3)=C'(-5,3)
