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
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The figure shown is made up of a triangle and a square. The perimeter of the figure is 56 inches. Complete
the description to find the area of the figure.
10 in.
8 in.
10 in.
The total length of three sides of the square is in., so the side length of the square is
in. The area of the triangle is in?, and the area of the square is in?, so the total area is
Image of figure is missing so i have attached it.
Answer:
The total length of three sides of the square = 36 in
Side length of square = 12 in
A_triangle = 48 in²
Area of square = 144 in²
Total area of figure = 192 in²
Step-by-step explanation:
Total perimeter = 56 inches
Let the side of the square be s.
Thus, perimeter of the 3 sides of the square = 3s
Therefore, adding all the external sides of the figure, we have;
3s + 10 + 10 = 56
3s + 20 = 56
3s = 56 - 20
3s = 36
s = 36/3
s = 12
Area of triangle is given by the formula;
A_triangle = ½bh
Where;
b is base
h is height
Thus;
A_triangle = ½ × 12 × 8
A_triangle = 48 in²
Area of square = 12 × 12 = 144 in²
Total area of figure = 144 + 48 = 192 in²
Find the domain and range, and is it a function?
5/8 - 2/9 × 3/8 fraction simplify quick please
We had a revision and I forgot can you help me
Answer:
ans is 13/25
Step-by-step explanation:
hope it helps!!!
can someone help me
Answer:
the first one....
6=w+2.
Find the quotient of these complex numbers. (3 + 3i) / (5 + 4i) =
Plz help
Answer:27/41+3/41i
Step-by-step explanation:
Just finished this problem
Answer:
guy above correct via A P E X
Step-by-step explanation:
The answer to my question is
For number 13. x^3+7x^2-9x-63
For number14. 18x (x-4)
BUT SOMEONE SHOW WORK PLS FOR BRAINLYY :)))
Answer:
each colour represents what i’m multiplying
Step-by-step explanation:
hope this helps
what is the solution to the systems of equations? equations - 3x-y= -17 , x-y= -13
Answer:
x=1 y=14
multiply x-y=-13 by 3 so the x would cancel out. solve for y
then plug in y to one of the equations to get x
Answer: the answer is x= -2 , y=11
Step-by-step explanation:
First
1: we have to find the answer for x in x-y= -13
2: add y on both sides of the equation
3: we will get x= -13+y
Second
1: Substitute x in 3x-y= -17 with x=-13+y
2: then you will get 3(-13+y)-y= -17
3: multiply 3 with -13 and y
4: you will get -39+3y-y =-17
5: add 3y and -y
6: you will get -39+2y= -17
7: add 39 on both sides of the equation
8: you will get 2y=22
9: divide 2 on both sides
10: you will get y= 11
Third
1: plug 11 for y in x= -13+y
2: then you will get x= -13+11
3: you will x= -2
So x= -2 and y= 11
yall i need help rn please
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If y = 1/2x, then y will always be half of x.
This equilateral triangle has side lengths of 6 inches and a height of approximately 5 inches. Find the area, given these dimensions.
To find the area of a triangle we use this equation:
[tex]\frac{1}{2} bh\\[/tex]
b= base
h= height
So since we are given the information that the sides are 6 and the height is 5 we simply can plug the information right into the equation:
[tex]\frac{(6)(5)}{2}[/tex]= 15
So the are is 15 inches sqaured, hope this helps :)
simplify (2+3)squared-16 divided by 2
Answer:
it would be 4.5
Step-by-step explanation:
basic explantion
step 1. 3+2 =5
step 2 5x5=25
step 3 25-16=9
step 4 9 divde by 2= 4.5
simplifyed it would be 25-16 ÷ 2
more deatialed explanation.
I added 3+2 to get 5 and i sqaured the 5 to get 25 becasue 5x5 is 25 then i took away 16 and got 9 then i divde 9 by 2 to get 4.5. hope this helped!
WHICH OF THE FOLLOWING CAN BE SUBSTITUDED FOR Y TO MAKE THE EQUANITIY TRUE 24>6+3Y
Answer:
Step-by-step explanation:
3Y+6<24
3Y<18
Y<6
Y can be any number/integer that is less than 6.
HELP
PLZZZ Z DONT GIVE ME A LINK
Answer:
These relationships are realted because the variable is multiplied by ten to get the function.
9cm: 90mm
12 1/4cm: 122.5mm
50cm: 500mm
88.49cm: 884.9mm
By the way, can you follow me on Brainly?
Thanks!
The six sides of a number cube are labeled 1,2,3,4,5, and 6. You flip a coin and roll the number cube. What is the theoretical probability that the coin lands on tails and you roll a number less than 3?
Answer:
1/6
Step-by-step explanation:
P(tails, # LT 3) = 1/2 x 2/6 = 1/2 x 1/3
You find a piece of wood that is 10.23 cm long and your friend finds on ethat is 17.65 cm long how long would they be if you attached them?
By adding the lengths of the two pieces of wood (10.23 cm and 17.65 cm), they would be 27.88 cm long when attached.
Addition is the process of adding two or more numbers together. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum.
Given that,
The length of your wood = 10.23
The length of your friend's wood = 17.65
Denote the length of your piece of wood as "x" and the length of your friend's piece as "y".
In this case,
x = 10.23 cm
y = 17.65 cm.
To find the total length when they are attached,
Add the lengths as
x + y = 10.23 cm + 17.65 cm
Now, calculate the sum:
x + y = 27.88 cm
Hence,
If you attach the two pieces of wood, the total length would be 27.88 cm.
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HELP PLEASE!!
ABCD is rotated counterclockwise about the origin. By how many degrees was ABCD rotated?
Answer:
180 degrees
Step-by-step explanation:
Write the ratio as a fraction in the simplest form. 3 2/5 to 1 4/5 2 4 3 / to 1 / 5 5
Answer:
a) 17/9
b) 25/39
Step-by-step explanation:
a) 3 2/5 to 1 4/5
17/5 to 9/5
The ration of fractions is 17/5 / 9/5 = 17/9
b) 2 4 /3 to 1 / 5 5
10/3 to 26/5
25/39
Solve:3x+3y=27 and its algebra
Answer: X=9-y
Step-by-step explanation:
Answer:
x = 9 - y
y = 9 - x
Step-by-step explanation:
Solving for X:[tex]3(x + y) = 27[/tex]
[tex]x + y = \frac{27}{3} [/tex]
[tex]x + y = 9[/tex]
[tex]x = 9 - y[/tex]
Solving for Y:[tex]3(x + y) = 27[/tex]
[tex]x + y = \frac{27}{3} [/tex]
[tex]x + y = 9[/tex]
[tex]y= 9 - x[/tex]
Hence, the answer for x is x = 9 - y and the answer for y is y = 9 - x.
pls answer this real answers if its right ill give brainliest
Answer: 7.5 batches
Step-by-step explanation:
60/6 is 10, so she needs to make 10 batches in total.
10-2.5=7.5
Answer:
no. of muffins = 60 muffins
no of muffins in each batch = 6 muffins
no. of batches which got over = 2.5 batches
no. of muffins baked = 6 * 2.5 = 15
no. of muffins to be baked = 60 - 15 = 45
no. of batches required to bake 45 muffins = 45 / 6 = 7.5
hope this answer helps you!
please mark as brainliest... thank you!
Ok I need help what is If X = 8 units, Y = 4 units, and Z = 6 units, what is the volume of the rectangular prism shown above?
Which of these functions is not a línear function?
What is the slope of the line graphed below
Answer:
-5
Step-by-step explanation:
Assuming that each unit is 1, then it is rise over run, which is -5/1=-5
restaurant bill:$175 with a 20% tip what will the be the amount of tip
Answer:
$35.00
Step-by-step explanation:
175 x .20=35
Put these numbers in order from least to greatest.
1/2 1/3 2/5 0.6 0.3
Least
Greatest
0.6, 0.3 2/5, 1/3 1/2 ( I believe)
Step-by-step explanation:
good luck !!!
HELP! WILL MARK AS BRAINLIEST! PLEASE INCLUDE THE CALCULATION (MATHEMATIC FORM 1 // BASIC ALGEBRA) pls answer 4 question above TYSM!!!
Answer:
a) 3p
c) 2
3) [tex]ab^{2}[/tex]
Sorry if these answers are short, I just wanted to finish this problem then rest
some body helpme pls 4
1. 10
2. -1
Step-by-step explanation:
I was taught when there's two minus signs squish then together into a big plus sign. and go on from there
Answer:
Step-by-step explanation:
4-(-6)= 10
-3-(-2)= -5
Please help! If you do you will get 'Brainliest'
Answer:
A) 5/7
Step-by-step explanation:
Equation:
-0.7n = -0.5
n = 5/7
Please help I only got 20 minutes to answer!!!!!!!!!
Answer:
r=c/2π
3/2π
=0.47746482927
Brainlist Pls!
which answer is the simplest form of the expression.
Answer:
yellow box
Step-by-step explanation:
Answer:
c or the orange option. m^2n/2
Step-by-step explanation:
i hope this helps :)
Can someone please help me :) ❗❗❗❗❗
Answer:
the third option
Step-by-step explanation:
when X is negative f(x) is positive. and when f(x) is negative x is positive
Will mark brainlest
Answer:
15)
Step-by-step explanation:
i think its that since im guessing that x5 is the length of each side and since triangles have 3 sides so i did 5 x 3 which equals 15