Answer: a. To write a system of equations to find the family's costs for each kind of game according to the FCI, we can use the information provided in the problem. According to the FCI, a family of four would spend a total of $592.30 to attend two MLB games and one NBA game, and the family would spend $691.31 to attend one MLB and two NBA games. Let x be the cost of MLB games and y be the cost of NBA games. Then we can write the following system of equations:
x + y = 592.30 equation 1 represents the cost of attending two MLB games and one NBA game
2y + x = 691.31 equation 2 represents the cost of attending one MLB and two NBA games
b. We can solve the system of equations to find the cost for a family of four to attend each kind of game according to the FCI.
We can substitute equation 1 into equation 2
2y + (592.30 - y) = 691.31
2y + 592.30 - y = 691.31
2y = 691.31 - 592.30 = 99.01
y = 49.51
we know y represents cost of NBA games so 49.51 is cost of one NBA game for a family of four
x = 592.30 - y = 592.30 - 49.51 = 542.79
x represents cost of MLB games so 542.79 is the cost of one MLB game for a family of four
So, according to the FCI, a family of four would spend $542.79 to attend one MLB game, and $49.51 to attend one NBA game.
Step-by-step explanation:
y -1/4 x = -1
y - 2 = 4x
A no solution
B infinite solutions
C one solution
Answer:
x=-4/5, y=-6/5. (-4/5, -6/5).
Step-by-step explanation:
y-1/4x=-1
y-2=4x
--------------
y=4x+2
4x+2-1/4x=-1
4x-1/4x=-1-2
16/4x-1/4x=-3
15/4x=-3
x=-3/(15/4)
x=(-3/1)(4/15)
x=-12/15=-4/5
y-2=4(-4/5)
y-2=-16/5
y=-16/5+2
y=-16/5+10/5
y=-6/5
To get the echo of a positive integer, we write it twice in a row without a space. For example, the echo of 2023 is 20232023. Is there a positive integer whose echo is a perfect square? if so, how many such positive integers can you find? if not, explain why not.
To get the echo of a positive integer, we write it twice in a row without a space. The echo number 202320232023202320232023 is the perfect square of 449800213454.
A perfect square is what echo number?If the square root of an echo number is a natural number, the echo number has a perfect square. We discovered that echo number 202320232023202320232023 is a perfect square after a few iterations:
√202320232023202320232023 = 449800213454.
The perfect square of the integer 449800213454.1 is the echo number 202320232023202320232023.
Therefore,To get the echo of a positive integer, we write it twice in a row without a space. The echo number 202320232023202320232023 is the perfect square of 449800213454.
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Are triangles ABC and XYZ similar?
Therefore ,as a result, ABC is equivalent with XYZ, which is the answer to the triangle problem that was presented.
Tell us about the triangle.Given its three sides and three vertices, a triangular is a polygon. This geometric shape is fundamental. Triangle ABC is a triangle that has the points A, B, and C as its corners. In geometric shapes, when four pieces are not collinear, a single plane and triangle are obtained. Polygons include triangles since they have three sides and a top right corner.
Here.
Therefore,
∠ A = ∠X because ABC is identical with XYZ.
∠B and ∠Y have the same meaning.
∠Z equals ∠C, and
Line ab has the same value as xy.
Line bc and yz are interchangeable.
Line ac corresponds to xz.
Cpct was employed to find a solution.
Triangle segments that are congruent are matched.
As a result, ABC is symmetrical with XYZ is the answer to the presented triangle problem.
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Complete question is: Are triangles ABC and XYZ similar?
Tell whether the pairing is a function.
The relationship in this problem is a function, as each input is mapped to a single output.
When does a relation represents a function?A relation represents a function when each input value is mapped to a single output value.
From the table, we have that:
The input 1 is mapped to the output 20.The input 2 is mapped to the output 21.The input 3 is mapped to the output 21.The input 4 is mapped to the output 22.Each input is mapped to a single output, hence the table represents a function.
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solve the compound inequality n+2≤−5 and n+6≥−6
Answer:
-12<=n<=-7
Step-by-step explanation:
Use the Distributive Property to expand 6(-4x + 3y)
Answer: -24x+18y
Step-by-step explanation:
6(-4x+3y)
=6*(-4x)+6*(3y)
=-24x+18y
Answer:
6(-4x + 3y)
Step-by-step explanation:
-24x + 18y
6(-4x + 3y)
Imma need some help here
Answer:
no it is not a solution
Step-by-step explanation:
to determine if (- 5, 4 ) is a solution to the system, substitute the x- coordinate x = - 5 into the right side of both equations and if the value obtained is equal to the y- coordinate y = 4 then it is a solution.
Note that this must be true for both equations
y = 3(- 5) + 19 = - 15 + 19 = 4 ← True
y = - 2(- 5) - 7 = 10 - 7 = 3 ≠ 4 ← False
thus (- 5, 4 ) is not a solution to the system of equations.
A rectangle playground has a width of 540 feet and
Does standard form have to be between 1 and 10?
No, standard form does not have to be between 1 and 10. Standard form refers to a way of writing a number in which the number is expressed as a decimal between 1 and 10, multiplied by a power of 10.
THE STANDARD FORMStandard form, also known as scientific notation, is a way of writing a number that is a product of a decimal between 1 and 10, and a power of 10. The decimal part is called the coefficient, and the power of 10 is called the exponent.
For example, 12,000 can be written in standard form as 1.2 x 10⁴. Here, the coefficient is 1.2 (a decimal between 1 and 10) and the exponent is 4, indicating that the number is being multiplied by 10 raised to the power of 4 (10,000).
It is important to note that standard form is not limited to positive numbers and decimals between 1 and 10. A negative number or decimal less than 1 can also be written in standard form, but it would be multiplied by a power of 10 that is less than 1.
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I have a tape diagram it is, there is 1 bus for every 32 students on a field trip. there are 96 students on a field trip how many buses are needed?
Answer: 3
Step-by-step explanation:
32 x 3 = 96
How do you multiply integers in 7th grade?
To begin, determine the absolute value of each integer. After that, multiply or compute the product of the absolute numbers. Finally, identify the final answer's sign. According to the rule, if the signs of the two numbers vary, the final result will be negative.
What is integer?Determine the absolute value of each number first. After that, multiply or compute the absolute number product. Finally, determine the sign of the final answer. If the signs of the two numbers differ, the final result will be negative, according to the rule. A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts. The set of whole numbers and their inverses is known as the integers. The set of integers does not include fractions or decimals.
Here,
Determine the absolute value of each number first. After that, multiply or compute the absolute number product. Finally, determine the sign of the final answer. If the signs of the two numbers differ, the final result will be negative, according to the rule.
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y varies inversely with x. Write an equation relating x and y.
Then find the indicated value. Show your work.
y = 16 when x = 27. Find the value of y when
x = 18.
y = 3.2 when x = 30. Find the value of x when
y = 8.
The equation of variation is xy = 96. The value of y when x = 18 is 16/3 and the value of x when y = 8 is 12.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given:
y inversely varies as x.
That means, y ∝ 1/x.
So, y = kx, where k constant of variation.
Then, x × y = k
When y = 16, x = 6.
k = 6 × 16 = 96
So, the equation of variation is xy = 96.
When x = 18,
18y = 96
⇒ y = 96/18
⇒ y = 16/3
When y = 3.2,
3.2(30) = 96
When y = 8
8x = 96
⇒ x = 12
Therefore, the values are y = 16/3 and x = 12.
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HELP! Does the system shown always, sometimes, or never have a solution when a = b? a ≥ b? a ≤ b?
Answer: ok ok... If this is like pick one ima go for A. = b
Step-by-step explanation: i hope this helps<3
Convert this equation into standard form
The equation into standard form is x = 4
How to convert the equation into standard formFrom the question, we have the following parameters that can be used in our computation:
0 = x - 4
A linear equation in standard form is represented as
Ax + By = C
So, we have
0 = x - 4
Rewrite as
x - 4 = 0
Add 4 to all sides
x = 4
hence, the equation is x = 4
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Best Buy is selling a 62" TV for $1,250. The TV is on sale for 15% off and there is a 6% sales tax. What is the final cost of the TV? Please help me I don't know how to do it
Answer:
final cost of 42" TV after deducting 15% discount and adding 6.5% sales tax will be $1163.56
Step-by-step explanation:
final cost of 42" TV after deducting 15% discount and adding 6.5% sales tax will be $1163.56
The final cost of the TV would be $1,063.50.
To calculate this:
First, calculate the discount by multiplying the original price of the TV ($1,250) by 15% (0.15). This equals $187.50.
Subtract the discount from the original price of the TV ($1,250 - $187.50 = $1,062.50)
Next, calculate the sales tax by multiplying the price after the discount ($1,062.50) by 6% (0.06). This equals $63.75
Finally, add the sales tax to the price after the discount ($1,062.50 + $63.75 = $1,063.50)
Mason spent $50 on school supplies. after buying 12 erasers for $17.88, he had $32.12 left over. How much did each eraser cost? Please help I need my grades up!
Answer:
$1.49
Step-by-step explanation:
17.88/12 = 1.49
Answer:
each eraser cost $1.49
Step-by-step explanation:
take how much it cost 17.88
divide by how much you have 12
get how much one unit or 1 of what you have
17.88/12=1.49
40
24
Solve for x.
60
X
x = [?]
Enter the number that belongs in the green box.
On solving the provided question we can say that the value of x is in parallel line is equal to 36.
Example of a parallel line.Real-world examples of parallel lines include railroad tracks, sidewalk margins, street markings, zebra crossings, the surfaces of pineapple and strawberries, stairs, railings, etc. Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B.
All three line are parallel to each other. so, that ratio of 40/24 is equal to 60/x.
40/24 GO/x
x = (60 24)/40
x=36
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Someone please help me !
Answer:
x² + 6² = 17²
6² + x² = 17²
Step-by-step explanation:
Pythagoras Theorem defines the equation of opposite² + adjacent² = hypotenuse². To make it simple, it's basically base² + height² = slope². Therefore:
[tex] \displaystyle{ {x}^{2} + {6}^{2} = {17}^{2} }[/tex]
Or you can also form as
[tex] \displaystyle{ {6}^{2} + {x}^{2} = {17}^{2} }[/tex]
Therefore, there are two correct answers here.
Help quick!
The figure is not drawn to scale.
Answer:
<f = 132°
Step-by-step explanation:
360 - 56 - 106 = f + g
f = 2g
198 = 3g
g = 66
f = 2g
f = 2(66)
f = 132
Leo designs a banner for class elections. His banner has 3 congruent circles glued on a rectangular length of butcher paper. The circles touch the edges of the paper and do not overlap. VOTE FOR LEO! If the butcher paper is 24 inches long, what is the area of one circle? Use 3 for pi
Im having issues with this question does anyone know this question STEP BY STEP
The area of one circle is 48 in² if the butcher paper is 24 inches long.
What is area?
The area of a two-dimensional figure is the total area it takes up. It is the quantity, in other words, that counts the number of unit squares that cover the surface of a closed figure.
Square units—commonly expressed as square inches, square feet, etc.—are the accepted unit of area.
Given that:
3 congruent circles are perfectly fitted in the rectangular banner of length 24 inches,
⇒ diameter of each circle = length of rectangular banner/3
⇒ d = 24/3
⇒ d = 8
⇒ r = 8/2
⇒ r = 4
Area of circle, A = π r²
A = 3× 4 × 4 (used pi as 3 as instructed in the question)
A = 48 in²
Thus, the area of one circle is 48 in² if the butcher paper is 24 inches long.
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A ratio of 4 to 5 may be written as all of the following except:
4:5
4/5
8/10
5/4
16/20
Answer:
5/4
Step-by-step explanation:
A ratio can be written with a colon or as a fraction. Fractions can also be simplified further into the desired ratio.
4 to 5 can be written as 4:5.4 to 5 can also be written as 4/5 or [tex]\frac{4}{5}[/tex].4 to 5 can also be written as [tex]\frac{8}{10}[/tex] because when 8 and 10 are divided by 2 you get [tex]\frac{4}{5}[/tex].4 to 5 can also be written as [tex]\frac{16}{20}[/tex] because when 16 and 20 are divided by 4 you get [tex]\frac{4}{5}[/tex].4 to 5 cannot be written as 5/4 because [tex]\frac{5}{4} or 5:4[/tex] is 5 to 4 NOT 4 to 5. Additionally, the complex fractions above cannot be simplified into 5/4.Please let me know if this helped!!!
what is the exact length of third side
Answer:
Step-by-step explanation:
The sum of the squares of the shorter sides is equal to the square of hypotenuse!
Kaj signed up for a streaming music service where there's a fixed cost for monthly
membership and a cost per song downloaded. Her total cost per month is given by
the equation c = 1.5x + 6.99, where X represents the number of songs she
downloads and c represents the total cost, in dollars and cents. What could the
number 1.5 represent in the equation?
In the equation for total cost c = 1.5x + 6.99, 1.5 represents the cost of per song downloaded.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The equation for total cost per month is c = 1.5x + 6.99.
Where x represents the number of songs Kaj downloads and c represents the total cost, in dollars and cents.
So, c and x are variable components of the equation.
There are only two fixed components in the equation 1.5 and 6.99.
Since number of songs downloaded x is multiplied by 1.5, so 1.5 is the cost of per song downloaded.
Hence, 6.99 becomes the fixed monthly membership cost of the music service.
Therefore, 1.5 is cost of per song downloaded.
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Find the value of X………….
The bases of a trapezium are parallel to each other.
The line x is parallel in this trapezium.
Hence,
Given two sides
If leg a is the missing side, then transform the equation to the form where a is on one side and take a square root: a = √(c² - b²)If leg b is unknown, then: b = √(c² - a²)For hypotenuse c missing, the formula is: c = √(a² + b²)I think you should provide extra information for correct answer.
that the angles etc.
Which of the following statements is true?
Computers depend on your input.
Computers understand emotions.
AI is very expensive and is used only by businesses.
Modern computers use more energy than humans.
Answer:
I think it's clear that it's A. Computers depend of you input
What value is equivalent to (8+2)2 + (6 − 4) × 3?
A.106
B.110
C.6
D.94
E.18
Answer:
A. 106
Step-by-step explanation:
Use the correct order of operations.
(8 + 2)² + (6 − 4) × 3 =
= 10² + 2 × 3
= 100 + 6
= 106
If two lines are perpendicular, how many right angles are formed? Why?
Answer:
Hence we can see that, when two lines are perpendicular to each other, they form 4 right angles (90 degrees).
Joseph has a loyalty card good for a 20% discount at his local pharmacy. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $42.05? Round to the nearest cent.
The total cost of good will equals to $33.64 after considering the 20% discount he had at the pharmacy.
What is a loyalty card?A loyalty card is an identity card issued by a retailer to its customers as a form of consumer incentive scheme in which credits are accumulated for future discounts with each transaction.
Now, we will have to calculate the total cost of all the items he wants to buy after considering the 20% discount.
First, we will calculate the discounted amount:
= 20% * $42.05
= $8.41
Second, we will calculate the new amount of cost:
= $42.05 - $8.41
= $33.64
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On a necklace of 150 beads 75 beads are glass and 78 are ceramic what percent of beads are glass
Answer:
50%
Step-by-step explanation:
Divide the number of glass beads by the total number of beads:
75 glass beads / 150 total beads =
75 glass beads / 150 beads =
75/150 =
1/2 =
0.5 =
0.5 * 100% = ==> 100% = 1
50%
Is A ={ x x 2 )= 4 and 3x 9 an empty set justify your answer?
The value of 'x' is not same in both cases, so this is a empty set.
How to calculate A={x x 2}=4 and 3*9 an empty set?step1
Because here square of element of set should be 4 then element should be 2 or -2 but when 2 or -2 multiplied by 3 gives 6 or - 6 which is not equal to 9. So, no element exists which can satisfy both conditions.
A={x x 2}=4 and 3x=9 is not empty set because there is no element we can say that is an empty set but there is an element, so it is not an empty set.
step2
X^2=4
Therefore only 2's square is 4
In first equation X=2
But in second equation
3x=9
Therefore here X=3
One variable has only one value
Therefore it is an empty set
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