Answer:
basketball game tickets: $7.25;
football game tickets: $6.50
Step-by-step explanation:
Let B represent the cost of a basketball ticket and F represent the cost of a football ticket.
Amount for basketball ticket plus amount for football tickets equal the total cost.
4B + 5F = 61.50
5B + 3F = 55.75
Choose one equation in the system to solve for a variable.
Solve the first equation for F.
4B + 5F = 61.50
5F = −4B + 61.50 Subtract 4B from both sides.
F = −0.8B + 12.30 Divide both sides by 5.
Substitute the expression −0.8B + 12.30 for F in the other equation.
5B + 3F = 55.75
5B + 3(−0.8B + 12.30) = 55.75 Substitute.
5B − 2.4B + 36.90 = 55.75 Distribute.
2.6B + 36.90 = 55.75 Combine like terms.
2.6B = 18.85 Subtract 36.90 from both sides.
B = 7.25 Divide both sides by 2.6.
Substitute the B-value into one of the original equations to solve for F.
4B + 5F = 61.50
4(7.25) + 5F = 61.50 Substitute.
29 + 5F = 61.50 Multiply.
5F = 32.50 Subtract 29 from both sides.
F = 6.50 Divide both sides by 5.
The cost of a basketball ticket is $7.25, and the cost of a football ticket is $6.50.
The cost of basketball game tickets is $7.15 and football game ticket is $6.5
Let the cost of a basketball game ticket be x
Let the cost of football game ticket be y
If 4 basketball game tickets and 5 football game tickets were purchased for $61.50, hence;
4x + 5y = 61.50 ..................1
If 5 basketball game tickets and 3 football game tickets were purchased for $55.75, hence;
5x + 3y = 55.75 ...........................2
Solving 1 and 2 simultaneously
4x + 5y = 61.50 ..................1 * 3
5x + 3y = 55.75 ...........................2 * 5
_________________________________
12x + 15y = 184.5
25x + 15y = 278.75
Subtract
12x - 25x = 184.5 - 278.75
-13x = -94.25
x = 7.25
Substitute x = 7.25 into equation 1:
From 1:
4x + 5y = 61.50
4(7.25) + 5y = 61.50
29 + 5y = 61.50
5y = 61.50 -29
5y = 32.5
y = 32,5/5
y = 6.5
Hence the cost of basketball game tickets is $7.15 and football game ticket is $6.5
Learn more here:
https://brainly.com/question/15165519
Find all missing angles m 1, m 2, m 3, and m 4
Answer:
i thinks it on a app
Step-by-step explanation:
yea the wedsite is
Which statement about this equation is true?
2x + 4 = 2(x + 2)
Answer:
number 3 is right
Step-by-step explanation:
this equation has infinitely many solutions
Please help me with this question
Answer:
(0, -2)
Step-by-step explanation:
Function Intercepts "y" in this point
I hope this help you
It took Valerie 80 minutes to drive 120 miles. Which of the following unit rates expresses how fast Valerie was traveling?
60 miles per hour 70 miles per hour
80 miles per hour 90 miles per hour
Answer:
90 miles per hour
Step-by-step explanation:
Divide distance by time to get speed.
[tex]\frac{120}{80}[/tex]=1.5 miles per minute
60 minutes in an hour
1.5(60)=90 miles an hour
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
7200
Step-by-step explanation:
The number was 72. you move the decimal 2 places to the right (left if it was negative) There are no numbers there. So you add 0's .
(Sorry if I did not explain good enough. I am not very good at explaining things.)
Find real numbers a and b such that the equation is true.
a + bi = 7 + 6i
Somebody please help me
Answer:
3750
Step-by-step explanation:
A newspaper collected information on schools in its circulation area in order to compare their quality. Two measures the newspaper collected for each school, mean class size and mean score on a statewide reading exam, are shown in the scatterplot. One school in the report, Springside Elementary, is labeled in the graph.
Which is a true statement regarding Springside?
Springside does not affect the correlation.
Springside weakens the correlation shown in the scatterplot.
Springside strengthens the correlation shown in the scatterplot.
Removing Springside would increase the value of the correlation coefficient.
Interpreting the scatterplot, it is found that the correct option is:
Springside weakens the correlation shown in the scatterplot.
In the scatterplot, the mean test score is plotted as function of the mean class-size.From this, we can verify that as the mean class size increases, the mean score decreases, that is, there is a negative correlation between the mean class size and the mean test score.However, for Springside, the mean test score is greater than most other schools with smaller class sizes, which is a different result than expected, thus, it weakens the correlation, and the correct option is:Springside weakens the correlation shown in the scatterplot.
A similar problem is given at https://brainly.com/question/13961820
f(x) = sqrt(2x); g(x) = sqrt(8x) Find (fg)(x) Assume x >= 0
The functions f(x) and g(x) combine to form a composite functions
The value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]
How to determine the function (fg)(x)The functions are given as:
[tex]f(x) = \sqrt{2x[/tex]
[tex]g(x) = \sqrt{8x[/tex]
To calculate (fg)(x), we have:
[tex]f(x) = \sqrt{2x[/tex]
This gives
[tex]f(g(x)) = \sqrt{2g(x))[/tex]
Substitute [tex]g(x) = \sqrt{8x[/tex]
[tex]f(g(x)) = \sqrt{2*\sqrt{8x}[/tex]
Simplify
[tex]f(g(x)) = \sqrt{4\sqrt{2x}[/tex]
Hence, the value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]
Read more about composite functions at:
https://brainly.com/question/10687170
Answer:
f.g x = 4x
Step-by-step explanation:
1. Tính:
a) 2x*(2x^2-3x+5)+6x^2
b) (2+x)*(2-x)-4
c) (x+5)^2-10x
2. Tìm x, biết:
a) 3*(x^2-2x+1)=3x^2+3
b) (3-x)^2-(x-1)*(2+x)=0
Answer:
1.b (2+x)*(2-x)-4
2.a 3*(x^2-2x+1)=3x^2+3
vx-w=2
rearrange it and make x the subject
Answer:
[tex]vx - w = 2 \\ vx = 2 + w \\ x = \frac{2 + w}{v} [/tex]
Solve for x.
x−1.2=3
Hello!
Answer:
x=4.2
Step-by-step explanation:
first, you want to add 1.2 to both sides
x-1.2+1.2=3+1.2
=x=4.2
= x=4.2 :)
Hope this helps!
PLEASE HELP PLEASE PLEASE HELP PLEASE
Answer:
2
Step-by-step explanation:
it dot number 2 to click
Answer:
0 ≤ months ≤ 12
Step-by-step explanation:
Domain is the x-values and axis, so it is 0 to 12.
Hopefully this helps!
Brainliest please?
2(x-1)+4=-(x+6)+5
..
x = -1
Step-by-step explanation:
2(x - 1) + 4 = -(x + 6) + 5
2x - 2 + 4 = -x - 6 + 5
2x + 2 = -x - 1
2x + x = -1 - 2
3x = -3
x = -1
x²-2xy-4z²+y² x=1 y=2 z=0
Answer:
the answer is 1.
Step-by-step explanation:
x²-2xy-4z²+y²
given:
x=1 y=2 z=0
now,
=1^2-2*1*2-0+2^2
=1
hope it helps ..thank u
Which choices are equivalent to the expression below? Check all that apply
Answer:
B, D, and E
Step-by-step explanation:
HELP, please I'm stuck
Somebody help me please
Answer:
Step-by-step explanation:
Question 9 (1 point) Which of the following does NOT describe mass?
a remains constant
b a measure of matter
C a measure of gravitational force
d measured in kilograms
The answer is a measure of gravitational force
Determine the value of x.
No links please!
Answer:
The answer is D.
Step-by-step explanation:
Answer:
The choice D)
[tex]2 \sqrt{2} [/tex]
Step-by-step explanation:
Sin = Opposite/ hypotenuse
[tex] \sin(45) = \frac{x}{4} \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{4} \\ \\ \sqrt{2} x = 4 \\ \\ x = \frac{4}{ \sqrt{2} } \\ \\ x = \frac{4}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ \\ x = \frac{4 \sqrt{2} }{2} = 2 \sqrt{2} \\ \\ \\ x = 2\sqrt{2} [/tex]
I hope I helped you^_^
Write three fractions that are equivalent to 5/7
Answer:
10/14 or 10 over 14, 15/21 or 15 over 21, and 20/28 or 10 over 28
Step-by-step explanation:
you multiply both numbers by 2, 3, and 4 to make equivalent fractions.
Brainliest would be appreciated thank you!
Plz help it’s due tonight!!!
How do you write a number to the power of something ?
( ex : 125 to the power of 5 )
Answer:
How do you write a number to the power of something ?
( ex : 125 to the power of 5 )
125⁵
thats it easy as much
Evaluate the expression when m=6
m²-5m-4
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{m^2 - 5m - 4}}\\\large\boxed{\mathsf{= 6^2 - 5(6) - 4}}\\\large\boxef\large\boxed{\mathsf{= 36 - 30 - 4}}}\\\large\boxed{\mathsf{= 6 - 4}}\\\large\boxed{= \textsf{2}}}\\\huge\boxed{\text{Therefore, your answer is: \textsf 2}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A pitcher contains 4.5 pints of iced tea. How many fluid ounces of iced tea are in the pitcher?
First, and correct answer gets brainliest, also worth 50 points
One angle be x
other is 2x-6ATQ
[tex]\\ \sf\longmapsto x+2x-6=90[/tex]
[tex]\\ \sf\longmapsto 3x-6=90[/tex]
[tex]\\ \sf\longmapsto 3x=96[/tex]
[tex]\\ \sf\longmapsto x=32[/tex]
[tex]\\ \sf\longmapsto 2x-6=2(32)-6=58°[/tex]
Answer:
58°
Step-by-step explanation:
The measure if one 2 complementary angle is 6 less than the measure of the other => x + 2x - 6° = 90°
x + 2x - 6° = 90°
3x = 90° + 6°
3x = 96°
x = 96° : 3
x = 32°
Substitution :
2x - 6°
= 2 × 32° - 6°
= 64° - 6°
= 58°
Name all trigonometric ratios that are equivalent to 3/5
Answer: if (1/x) = (3/5) then
x = 5/3.
As far as equivalent ratios to 3:5 go, there are an infinite number
3:5 = 6:10 = 12:20 = 1.5:2.5
Step-by-step explanation:
^
Can you please help the pic is below
Answer:
4.6x3=13.8
0.46x3=1.38
Step-by-step explanation:
help please i dont know what to do
okay so for the first one it's 3b-16
but when you see b=8 you would rewrite it as 3×8- 16 and once you do that you should have the answers you do the same thing for the rest of them :)
55
(x + 30)
Find the value x
x=25 because 30+25=55. and 55-25=30
