The store sold 1.25 footballs for every 2 basketballs.
To determine how many footballs were sold for every 2 basketballs, we can set up a ratio based on the information given. Let's denote the number of basketballs sold as [tex]\( B \)[/tex] and the number of footballs sold as [tex]\( F \)[/tex]. According to the problem, the store sold 2.5 times as many footballs as basketballs, which can be expressed as:
[tex]\[ F = 2.5B \][/tex]
Now, we want to find out how many footballs were sold for every 2 basketballs. To do this, we can divide both sides of the equation by 2 to find the number of footballs that correspond to 2 basketballs:
[tex]\[ \frac{F}{2} = \frac{2.5B}{2} \][/tex]
Simplifying the right side of the equation, we get:
[tex]\[ \frac{F}{2} = 1.25B \][/tex]
This means that for every 2 basketballs sold [tex](\( 2B \))[/tex], there were 1.25 footballs sold [tex](\( F \))[/tex]. Therefore, the store sold 1.25 footballs for every 2 basketballs.
Hank's pickup can travel 72 miles on 4 gallons of gas. How many gallons will Hank's pickup need to travel 54 miles?
Answer:
Hank's pickup need 3 gallons of gas to travel 54 miles.
Explanation:
Hank's pickup can travel 72 miles on 4 gallons of gas
Miles travel by Hank's pickup with 1 gallon of gas = 72/4 = 18 miles.
We need to find gallons of gas required for Hank's pickup to travel 54 miles.
Gallons of gas required = Miles need to travel/ Miles travel with 1 gallon of gas
= 54/18 = 3 gallons of gas.
So Hank's pickup need 3 gallons of gas to travel 54 miles.
Michelle bought 72 pounds of cocoa powder for her backery everyday she used the same amount of cocoa powder to make bakery items after 10 days Michelle was left with 20.2 pounds of cocoa powder on avarage how many cocoa powder did Michelle used each day
Wich is better to buy 3 pounds for $8.31 or 5 pounds for $12.95 explain.
Please help me 16% of what is 41?
The answer is 256.25
EXPLANATION
Let [tex]x[/tex] represent the number.
Then, [tex]\frac{16}{100}x=41[/tex]
We cross multiply yo obtain,
[tex]16x=41\times 100[/tex]
We now divide both sides by 16.
[tex]x=\frac{4100}{16}[/tex]
This will give us,
[tex]x=256.25[/tex]
Therefore the number is 256.26
A cinema has three screens last Saturday there were 500 visitors 40% went to screen 1 ,25% went to screen 2 the rest went to screen 3 work out how many visitors attended each screen
Answer:
200 visitors went to screen 1.
125 visitors went to screen 2.
175 visitors went to screen 3.
Step-by-step explanation:
We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.
[tex]500*\frac{40}{100} =5*40=200[/tex]
Therefore, 200 visitors went to screen 1.
Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.
[tex]500*\frac{25}{100} =5*25=125[/tex]
Therefore, 125 visitors went to screen 2.
Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.
[tex]500-(200+125)[/tex]
[tex]500-325=175[/tex]
Therefore, 175 visitors went to screen 3.
The sides of a right triangle ...
Answer: Choice A)
x^2 + (x+2)^2 = (x+4)^2
========================================
Consecutive even integers are whole numbers that are as close as possible and they are also even as well. One example of having 3 of them is {2, 4, 6}. Another example is {4,6,8} and another example is {6,8,10}. You start with any even integer you want, then count up by 2 each time to get the next values.
In general, if x is your first even number, then x+2 is the next number up. Eg: x = 10 so x+2 = 10+2 = 12. Then after that, x+4 is the third number (if x = 10, x+4 = 10+4 = 14)
a = x is the side length of the shorter leg
b = x+2 is the side length of the longer leg
c = x+4 is the side length of the hypotenuse
Use the pythagorean theorem to get
a^2 + b^2 = c^2
x^2 + (x+2)^2 = (x+4)^2
Ima parking lot of 240 read and blue cars, the ratio of red cars to blue cars is 3:5 how many red cars are in the parking lot
The local high school hosted a hockey tournament. Tickets were sold before the tournament and at the door. When reviewing the ticket sales, the director of the tournament realized that there were 80 more tickets purchased before the tournament than at the door. A total of 820 tickets were sold. Which statements about ticket sales are true? Check all that apply.
The first thing we must do for this case is to define variables: x: number of tickets sold before the tournament. y: number of tickets sold at the door. The system of equations that adapts to this situation is given by: x + y = 820 x-y = 80 Answer: The correct options are: option 2 option 3 option 5
Answer:
The correct options are:
option 2
option 3
option 5
Step-by-step explanation:
Elena’s bus runs every 20 minutes. If she arrives at her bus stop at a random time, what is the probability that she will have to wait at least 5 minutes for the bus if it is running on schedule
Answer:
P = 15/20 = 3/4
Step-by-step explanation:
20 minutes - 5 minutes = 15 minutes.
The probability of waiting at least 5 minutes = 15/20 = 3/4 = 75%
5x10^2
please help me solve it and how.
5 x 10^2
= 5 x 100
= 500
Alright, so to solve this we have to use P.E.M.D.A.S. There are no parenthesis, so we move on to exponents. 10^2. Well, we know that 10 multiplied by 10 is 100. So the new equation is 5 multiplied by 100. The answer is 500.
Compute the special products. (-3+5i)2
we are given
[tex](-3+5i)^2[/tex]
we can expand it
[tex](-3+5i)^2=(-3+5i)(-3+5i)[/tex]
now, we can FOIL it
[tex](-3+5i)^2=-3\times -3-3\times 5i+5i\times -3+5i\times 5i[/tex]
now, we can simplify it
[tex](-3+5i)^2=9-15i-15i+25i^2[/tex]
we know that
[tex]i^2=-1[/tex]
so, we can plug it
[tex](-3+5i)^2=9-30i+25(-1)[/tex]
[tex](-3+5i)^2=9-30i-25[/tex]
[tex](-3+5i)^2=-16-30i[/tex]..............Answer
Match the expression with its name 9x^4-3x+4
Brinns rectangular kitchen has an area of 81 square feet.The kitchen is 9 times as many square feet as brinns pantry.If the rectangular pantry is 3 feet wide, what is the length of the pantry?
Simplify the following expression in your notebook. Select the correct answer.
7 - 3[(n 3 + 8n) ÷ (-n) + 9n 2]
-24n2 + 31
n3 - 24n2 + 31
9n2 - 24n + 7
21n + 31
-24n2+31 if im correct!
Answer:
[tex]-24n^2 + 31[/tex]
Step-by-step explanation:
[tex]7 - 3[(n^3 + 8n) divide (-n) + 9n^2][/tex]
To simplify it we use order of operation PEMDAS
Parenthesis , exponents , multiply, divide, add and subtract
[tex]7 - 3[(n^3+ 8n) divide (-n) + 9n^2][/tex]
LEts start with parenthesis (divide by -n)
[tex]7 - 3[-n^2-8+ 9n^2][/tex]
Now we simplify the parenthesis by combining like terms
[tex]7 - 3[-8+8n^2][/tex]
multiply by -3
[tex]7+24 -24n^2[/tex]
[tex]-24n^2 + 31[/tex]
The area of a square is 36 square yards. How long is each side of the square?
The formula for area of a square is A=s^2
Taking the square root of each side
sqrt(A) =s
sqrt(36)=s
6yds =s
The length of each side of the square is 6 yards.
To round 74.58 to the nearest tenth, which digit do you look at first
To round 74.58 to the nearest tenth, look at the digit in the hundredth place (8) and round up the digit in the tenths place (5) by adding 1 to get 74.6.
To round 74.58 to the nearest tenth,
We have to look at the digit in the hundredth place, which is 8.
The rule for rounding to the nearest tenth is to look at the digit in the hundredth place.
If it is 5 or greater, you round up the digit in the tenths place by adding 1. If it is less than 5,
Simply drop the digit in the hundredths place and leave the digit in the tenths place as it is.
In this case,
The digit in the hundredths place is 8, which is greater than 5.
Therefore, we must round up the digit in the tenths place, which is 5, by adding 1 to get 6.
Thus, 74.58 rounded to the nearest tenth is 74.6.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
Please Help!
The product of a number minus ten and nine equals fifty when decreased by seven. Which equation represents the sentence?
A) 7(x - 10) - 9 = 50
B) 7(10 - x) - 9 = 50
C) 9(x - 10) - 7 = 50
D) 9(10 - x) - 7 = 50
This question i know. It is C
For this one, the best way to answer is to use the question and it will guide us to the answer.
First, you can eliminate two choices:
the problem states that a number minus ten and nine
so you can eliminate B and D because it is 10 minus a number. In math, you can be picky and take the question exactly.
Then, look at the last part, "when decreased by seven." So now look between A and C and see which one is decreasing by 7. Based on that C would be your answer
C) 9(x-10) -7 = 50
Hope this helps!
Rodrigo traveled at an average speed of 55 miles per hour for 5 hours to get from one national park to the next on his vacation l.What is the distane between the national parks
Answer: 275 Miles
Step-by-step explanation: 55 x 5 = 275
Answer:
275 Miles
Step-by-step explanation:
55 mph * 5hours= 275 Miles
Which of the following is not a polynomial?
For this case we have the following:
[tex]\frac{3}{x^{-1} }+ \frac{3}{2}[/tex] which can be rewritten as [tex]3x + \frac{3}{2}[/tex], is a polynomial. [tex]x ^ 2 + x^{\frac{1}{2} }+ x + 6[/tex] is not a polynomial because it has a coefficient that is not integer. [tex]x ^ 3-9[/tex] is a polynomial [tex]\sqrt{16x^{4} }[/tex] that can be rewritten as [tex]4x ^ 2[/tex], is a polynomialSo:
[tex]x ^ 2 + x^{\frac{1}{2} }+ x + 6[/tex] is not a polynomial
Answer:
Option B
The expression which is not a polynomial is:
B) [tex]x^2+x^{\dfrac{1}{2}}+x+6[/tex]
Step-by-step explanation:We know that the general form of a polynomial expression is given by:
[tex]P(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+......+a_2x^2+a_1x+a_0[/tex]
i.e. P(x) is a polynomial of degree n , where n belongs to natural numbers and [tex]a_i's[/tex] belong to the real numbers.
and [tex]a_n\neq 0[/tex]
A)
[tex]\dfrac{3}{x^{-1}}+\dfrac{3}{2}[/tex]
which could also be written by:
[tex]3x+\dfrac{3}{2}[/tex]
Hence, this expression is a polynomial expression.
Option: a is incorrect.
B)
[tex]x^2+x^{\dfrac{1}{2}}+x+6[/tex]
Since in the second term the power of x does not belong to the set of natural numbers.
Hence, option: b is not a polynomial expression.
Hence, the correct answer is option: b
C)
[tex]x^3-9[/tex]
Since, the expression matches the definition of the polynomial expression.
Hence, option: c is incorrect.
D)
[tex]\sqrt{16x^4}[/tex]
This could also be written as:
[tex]=4x^2[/tex]
Hence, it is a polynomial expression.
Hence, option: d is incorrect.
The equation of a line is -6x-2y=-18
What is the x-intercept of the line?
-6x - 2y = -18
-6x - 2(0) = -18
-6x - 0 = -18
-6x = -18
-6 -6
x = 3
hope this helps :)
Answer: 3
Step-by-step explanation:
Graph y=4/7x−2
I just need someone to explain where this would go on a graph.
Adriana bought 20 dogs and each dog price was $8:89 each how much she spent?
A store employes 11 women and 12 men. What percentage of employes are men?
2.53 is then answer .... im pretty sure
What is the unknown number in 2.48>2.4 1>2.463
Coach Kunal stacks all of the tennis balls in a square pyramid.
The number of tennis balls, P(n), in n layers of the square pyramid is given by P(n) = P(n – 1) + n^2.
Which could not be the number of tennis balls Coach Kunal has?
A. 30
B. 9
C. 5
D. 14
Answer:
The correct option is: B. 9
Step-by-step explanation:
The number of tennis balls, [tex]P(n)[/tex] , in [tex]n[/tex] layers of the square pyramid is given by: [tex]P(n)=P(n-1)+n^2[/tex]
As the stack of the tennis balls is in shape of a square pyramid, that means in the top layer, there will be one ball. So, [tex]P(1)= 1[/tex]
Now, if [tex]n=2,[/tex] then [tex]P(2)= P(2-1)+(2)^2 = P(1)+4=1+4=5[/tex]
If [tex]n=3,[/tex] then [tex]P(3)=P(3-1)+(3)^2=P(2)+9=5+9=14[/tex]
If [tex]n=4,[/tex] then [tex]P(4)=P(4-1)+(4)^2 = P(3)+16=14+16=30[/tex]
That means, the number of tennis balls from the top layer will be: 1, 5, 14, 30, .......
So, the number of tennis balls that Coach Kunal could not have is 9.
the correct answer is b.9
Please help and thank you
Answers: Angle A is 36 degrees, angle C is 54 degrees
=================================================================
Work Shown:
The angles A and C are complementary, meaning they add to 90 degrees.
(Angle A) + (Angle C) = 90
(2x-4) + (2x+14) = 90
(2x+2x)+(-4+14) = 90
4x+10 = 90
4x+10-10 = 90-10 .... subtract 10 from both sides
4x = 80
4x/4 = 80/4 ..... divide both sides by 4
x = 20
If x = 20, then,
angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees
angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees
Note how A+C = 36+54 = 90 which helps confirm our answers.
Marta hopes to have a test average of at least 90 by the end of the marking period. Her grades on the first four tests have been 86, 84, 97 and 89. What is the lowest grade she can receive on her fifth and final test and still have a test average of 90 or higher?
Answer:
Marta need to score at least 94 to receive an average of 90 or higher considering all five tests.
Explanation:
Marks received by Marta in four tests = 86, 84, 97 and 89
Let mark received in fifth test be x
We have average of five test is more than or equal to 90
So we have
[tex]\frac{86+84+97+89+x}{5} \geq 90\\ \\ 86+84+97+89+x\geq 450\\ \\ x\geq 94[/tex]
So Marta need to score at least 94 to receive an average of 90 or higher considering all five tests.
The lowest grade she can receive on her fifth and final test to achieve an average of 90 or higher is 94.
Explanation:Marta hopes to have a test average of at least 90 by the end of the marking period. Her grades on the first four tests have been 86, 84, 97 and 89. To find the lowest grade she can receive on her fifth and final test to achieve an average of 90 or higher, we can use the formula:
Average = (Sum of all grades) / Total number of grades
Let x be the lowest grade she can receive on her fifth test. We can set up the equation:
(86 + 84 + 97 + 89 + x) / 5 = 90
Now we can solve for x:
86 + 84 + 97 + 89 + x = 90 * 5
356 + x = 450
x = 450 - 356
x = 94
Therefore, the lowest grade Marta can receive on her fifth and final test and still have a test average of 90 or higher is 94.
Learn more about Test average calculation here:https://brainly.com/question/31697653
#SPJ11
x/-4=-1.11 what is x
Answer:
4.44 is your answer
Step-by-step explanation:
Isolate the x. Multiply -4 to both sides
(x/-4)(-4) = (-1.11)(-4)
x = (-1.11)(-4)
Multiply
x = 4.44
4.44 is your answer
~
Answer:
The value of x is 4.44.
Step-by-step explanation:
Given : Expression [tex]\frac{x}{-4}=-1.11[/tex]
To find : What is the value of x?
Solution :
Expression [tex]\frac{x}{-4}=-1.11[/tex]
Multiply both side by 4,
[tex]\frac{x}{-4}\times 4=-1.11\times 4[/tex]
[tex]-x=-4.44[/tex]
Cancel negative sign both side,
[tex]x=4.44[/tex]
Therefore, The value of x is 4.44.
Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average, 75%, on the test. Write an inequality that represents the test scores of 60% of his students.
Answer:
[tex]80\leq x\leq 70[/tex]
Step-by-step explanation:
Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average, 75%, on the test.
Means the greater marks can be up to 80 and lowest marks can be up to 70.
So, the inequality that represents the test scores of 60% of his students is :
[tex]80\leq x\leq 70[/tex]
HELP!! 20 PONTS!!!
Solve for x: −4|x + 5| = −16
Select one:
a. x = 21 over 4 , x = − 11 over 4
b. x = −1, x = 9
c. x = −1, x = −9
d. No solution