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 the value of x with all work, parallel lines and transversal lines
Answer: no idea
Step-by-step explanation:
f(x) = 3x2 - 3x + 1 3х 1 Find f(-2)
Answer:
Assuming f(x) = 3x^2 - 3x + 1, f(-2) is 16.
Step-by-step explanation:
Check answer.
PLZ MARK AS BRAINLIEST IF THIS HELPED YOU!
Find the x- and y-intercepts of the graph of — 7x + 8y = 40. State your answers as
whole numbers or as improper fractions in simplest form.
Answer:
x-intercept is (40/7, 0) and y-intercept is (0, 5)
Step-by-step explanation:
x-intercept ==> y-coordinate is 0 ==> y=0
y-intercept ==> x-coordinate is 0 ==> x=0
because the function is 7x + 8y = 40
when y = 0 ==> 7x = 40 ==> x = 40/7
so the x-intercept is (40/7, 0)
when x = 0 ==> 8y = 40 ==> y = 5
so the y-intercept is (0,5)
a line segment has endpoints at (2 3) and (-7 3) what is the distance of this segment
Answer:
9 units
Step-by-step explanation:
Y-coordinates are the same, so we just find the distance between the x-coordinates which is 2-(-7)=2+7=9 units
Taylor multiplied 8.25 * 10^4 and 0.4 * 10^4 and got 8.65 * 10^4. Explain Taylor's mistake. SOME ONE PLEASE HELP ME GET THIS ANSWER!
Answer: I believe the answer is 3.3 x 10^8
Given f(x)=3x/x+2, evaluate.
f(-3)= ? explain..
I will give Brainliest!
Answer:
9
Step-by-step explanation:
Plug the -3 value into the equation.
3( -3 ) / -3 + 2
-9 / -1
negative divided by a negative gives a positive result
9
The radius of a circle is 7.7 ft. Find the circumference to the nearest tenth to the nearest tenth.
Answer:
[tex]15.4\pi[/tex]
Step-by-step explanation:
[tex]C = 2\pi *r\\C = 2\pi *7.7\\C = 15.4\pi[/tex]
Which choices are equivalent to the expression below? Check all that apply
Answer:
B, D, and E
Step-by-step explanation:
find the distance between AB A( 0 , 10 ) , B( 1 , 3 )
Answer:
7.07
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
= √(1 - 0)² + (3 - 10)²
= √1)² + (-7)²
√(1) + (49)
√50
= 7.07
please help!!!!!!!!!
Answer:
1.) (0,5)
2.) (0,1)
3.) (6,4)
4.) (4,1)
Step-by-step explanation:
I have the equation.
16x^0+2x^2*y^-1
How do I solve the equation if x = 2 and y = 4?
Answer:
18
Step-by-step explanation:
[tex] \\ \sf16 {x}^{0} + 2 {x}^{2} \times {y}^{ - 1} [/tex]
Now putting the values of x and y.
[tex] \\ \sf16 \times {2}^{0} + 2 \times {2}^{2} \times {4}^{ - 1} [/tex]
[tex] \\ \sf = 16 \times 1 + 2 \times 4 \times \frac{1}{ {4}}[/tex]
[tex] \\ \sf = 16 + 2[/tex]
[tex] \\ \sf = 18[/tex]
Note:
•If the power of a number is 0 then it's value will be 1.
•If the power of a number is negative then reciprocal the number to make the power positive.
Please Help Me I Really Really Need It : (
I Will Mark you Brainliest If You Answer My Question Correctly.
Answer:
C. Find the sum/difference.
1. 6 1/28
2. 7 2/9
3. 12 5/9
4. 9 14/15
5. 8 17/20
D. Add/Subtract
1. 9 2/15
2. 8 7/20
3. 8 9/10
4. 9 1/2
5. 7 5/9
E. Activity 3
1. 15 5/12 C.
2. 5 1/6 A.
3. 1 1/2 B.
4. 11 1/2 D.
5. N = 9 1/14 C.
F. Part 4
1. 16 7/40 C.
2. 16 7/15 A.
Could someone help please? Thanks for your time!
The rate of change is also known as the slope or rise / run.
Slope Formula: (y2 - y1) / (x2 - x1)
First, we'll need two points that are on the line. You can choose any two points you want, as long as they are on the line.
Point 1 = (0, 1)
Point 2 = (-2, -3)
Then, we'll plug the two points into the formula and solve for the slope.
(-3 - 1) / (-2 - 0)
(-4) / (-2)
2
The rate of change of this line is 2.
Hope this helps!! :)
Answer: the rate of change is 2
Step-by-step explanation:
can someone tell me what to write please
Answer: 3.5 years
Step-by-step explanation: Let A be the salaries earned from company A for x years and B for company B for the same years.
A = 31000 + n*3000
B = 38000 + n*1000
To find the case where A = b, set them to each other and solve for n, the number of years.
31000 + n*3000 = 38000 + n*1000
2000n = 7000
n = (7000/2000) = 3.5 years.
A B
0 31000 38000
1 34000 39000
2 37000 40000
3 40000 41000
4 43000 42000
5 46000 43000
6 49000 44000
7 52000 45000
does anyone know how to solve this math problem?
A waiter earns $6 per hour plus tips of 15% of the restaurant tab from each table served . What total amount of restaurant tabs assures the waiter of making at least $350 in a 5 hour shift ?
Answer:
$2133.33Step-by-step explanation:
Given:
Rate per hour = $6Number of hours = 5Tips = 15%Lets the total amount of tabs = t
We have inequality:
6*5 + 0.15t ≥ 35030 + 0.15t ≥ 3500.15t ≥ 320t ≥ 320/0.15t ≥ 2133.333b- 4/2 = c , for b
please explain the steps
Answer:
b = c/3 + 2/3
Step-by-step explanation:
3b - 4/2 = c
the goal is to have b all by itself on one side of the equals sign.
start by moving the fraction over to where c is by adding.
3b = c + 4/2
adding -4/2 and +4/2 together makes it a 0 on the b side so there's no need to write anything in that space anymore.
Now 3b are next to each other which means they are multiplying. To move 3 we need to do the opposite (divide by 3 on both sides of the equal sign)
b = c/3 + 2/3
notice I divided both c and 4/2 by 3. 4/2 = 2 so I changed it to 2, then divided by 3
the number get when 90 is divided by 30 and its quotient is multiplied by 53?
Answer:
Step-by-step explanation: 90 divided in to 30 is not 53 is is equal to 3
Emma buys packets of beads
purple beads are sold in packets of 8
red beads are sold in packets of 5
blue beads are sold in packets of 10
Emma wants to buy an equal number of purple,red and blue beads
what is the smallest number of each colour Emma could buy.
Answer:
40beads
Step-by-step explanation:
For this number you are supposed to find the LCM of the three numbers given that is 8,5 and 10
Hope that this helpful.
Have a great day.
Greg drives at 50 mph for 2 hours.
How far did he drive?
O 20 mi
O 75 mi
0 125 mi
O 150 mi
Answer:
125 mi po Hindi kopo sure
This is so hard and I don’t know why
Answer:
Hey girl! I got you.
Step-by-step explanation:
So! The angle x and z are congruent, meaning that they are equal, so you got that part correct. They are indeed 103. Next you need to find y, and in this case you need to do 180 - 103 because the line that holds both angle z and angle y is equal to 180.
180 - 103 = 77, you got that correct also!
You're on the right track, just explain in words how you know what each angle is equal to! Good luck! :)
Find the missing side of each triangle.
A) 10 cm
C) 17.1 cm
E) 5.8 cm
B) 11.4 cm
D) 13.8 cm
Answer:
The choice B) 11.4
Step-by-step explanation:
[tex] {x}^{2} + {(5.5)}^{2} = {(12.7)}^{2} \\ {x}^{2} + 30.25 = 161.29 \\ {x}^{2} = 13104 \\ x = 11.4[/tex]
By using Pythagoras theorem :
[tex] {x}^{2} = (12.7) {}^{2} - (5.5)x {}^{2} [/tex][tex] {x}^{2} = 161.29 - 30.25[/tex][tex] {x}^{2} =131.04[/tex][tex]x = \sqrt{131.04} [/tex][tex]x = 11.4[/tex]Correct choice is B
A triangle has angle measures
x+15, 3x-35, and 4x.
What type of triangle is it? Be as specific as possible. Justify your answer.
need help with this problem
Answer:
4x+15
Step-by-step explanation:
Question 7 = 2 Points
Oct 06, 8:37:22 PM
Samantha has $600 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax,
• She buys a new bicycle for $399,95
• She buys 3 bicycle reflectors for $7.01 each and a pair of bike gloves for $34.06.
• She plans to spend some or all of the money she has left to buy new bilding outfits
for $75,88 each
Write and solve an inequality which can be used to determine w, the number of
outfits Samantha can purchase while staying within her budget
Answer:
See belowStep-by-step explanation:
The budget is $600.
Samantha spends the following amount:
399.95 + 3*7.01 + 34.06 = 455.04Now, she plans to buy w outfits which cost $75.88 each.
The inequality for this is:
455.04 + 75.88w ≤ 600Solving this we get:
75.88w ≤ 600 - 455.0475.88w ≤ 144.96w ≤ 144.96 / 75.88w ≤ 1.91w = 1 is the only integer solution greater than zero
[−1 3/5⋅(−6)]⋅(−3 3/4)⋅10
Answer:
The answer will be -300
Step-by-step explanation:
Doing this in a calculator, it will give you -300
£800 to the ratio of 9.13.18
Examine the last statements made by the Dormouse:
(1) I breathe when I sleep.
(2) I sleep when I breathe.
Write each of the statements in "If .... then” form.
Answer:
I believe what your teacher is looking for is
"If I breathe when I sleep, then I sleep when I breathe."
"If I sleep when I breathe, then I breathe when I sleep."
Step-by-step explanation:
I hope I'm correct ^-^
How are sequences whose consecutive terms differ by a constant modeled, and what can those models tell us?
Answer:
Linear functions
Step-by-step explanation:
I will give brainliest if the following questions get answered :3.86 + 0.9876.31 + 48.55126 + 87.457
Answer:
Your answer would be 140.855891 or 140.9 rounded.
Step-by-step explanation:
3.86+
0.9876.31+
48.55126+
87.457=
140.855891 or 140.9 rounded to the nearest tenth
Carmen wants to buy a pair of shoes that regularly costs $78. Today, the shoes are on sale for 60% of the original price. How much will Carmen have to pay for the shoes?
Answer:
31.2
Step-by-step explanation:
Change 60% into 0.6 by moving the decimal 2 points to the left
Multiply 0.6 by 78 to get 46.8
Subtract 78 and 46.8 to get 31.2 which is your answer