Brianna is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $3.75. Brianna spent $18.75 altogether at the carnival and the number of games she played is twice the number of rides she went on. Graphically solve a system of equations in order to determine the number of games Brianna played, x,x, and the number of rides Brianna went on, yy.
Answers
Answer:
6 games and 3 rides
Step-by-step explanation:
Let the number of games Brianna played be x,
and the number of rides she went on be y.
Total cost for games= 1.25x
Total cost for rides= 3.75y
Since number of games is twice the number of rides,
x= 2y -----(1)
Total costs= cost of games +cost of rides
[tex]18.75= 1.25x +3.75y[/tex]
Multiply the whole equation by 4 to remove the decimals:
[tex]75= 5x +15y[/tex]
Simplify by dividing the whole equation by 5:
[tex]15 = x + 3y[/tex]
Label the equation:
x +3y= 15 -----(2)
Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.
I will choose 3 points to plot on the graph for each equation:
x= 2y -----(1)
[tex]\begin{tabular}{|c|c|c|c|}
\cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\
\cline{1-4}y & 1 &2&3\\
\cline{1-4}
\end{tabular}[/tex]
x +3y= 15 -----(2)
x= -3y +15
[tex]\begin{tabular}{|c|c|c|c|}
\cline{1-4}x & -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\
\cline{1-4}y & 1 &2&3\\
\cline{1-4}
\end{tabular}[/tex]
Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.
From (1): y= ½x
From (2): 3y= 15 -x
y= 5 -⅓x
From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.
x- coordinate: 6
y- coordinate: 3
Thus, Brianna played 6 games and went on 3 rides.
Answer:
6 games=$7.5 3 rides=$11.25
1.25*6=7.5
3.75*3=11.25
7.5+11.25=18.75
Related Questions
PLEASE HELP ,,,,1. If AMNP is an equilateral triangle, find the values of x
and y.
Answers
An equilateral triangle is a triangle in which all three sides have the same length[tex].[/tex]
⭆ 14 = 3x - 4
⭆ 3x = 14 + 4
⭆ 3x = 18
⭆ x = 18/3
⭆ x = 6
In equilateral triangle, all three internal angles are also same and each are of 60°.
⭆ 5y - 5 = 60
⭆ 5y = 60 + 5
⭆ 5y = 65
⭆ y = 65/5
⭆ y = 13
★ Final answer :
x = 6y = 13Hope It Helps!Answer:
x = 6y = 13Step-by-step explanation:
equilateral triangle, all sides are equal,
MN = MP
14 = 3x - 4
x = 18/3
x = 6
internal angles are also equal.
5y - 5 = 60 (180/3 = 60)
5y = 65
y = 13
How do I round up this number 86,088
Answers
Answer:
86,000
Step-by-step explanation:
You look at the 88 and 88 would round up to one, but since 1 is less than four the number becomes 86,000
You have at most $3.65 to make copies for a school project. Each copy costs $0.25. Write and solve an inequality that represents the number of copies you can make.
Answers
The equation for the problem is [tex]0.25x[/tex] ≤ [tex]3.65[/tex]
Hope it helps!
You can make the maximum number of copies would be 14.6 which is determined by the inequality 0.25x ≤ 3.65 where x represents the number of copies.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
You have at most $3.65 to make copies for a school project. Each copy costs $0.25 which is given in the question.
As per the given condition, the required inequality would be:
⇒ 0.25x ≤ 3.65
Here x represents the number of copies
⇒ 0.25x ≤ 3.65
Divided by 0.25 both sides of the inequality, and we get
⇒ x ≤ 3.65/0.25
⇒ x ≤ 14.6
Therefore, you can make the maximum number of copies would be 14.6.
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ2
1.2.8 -0.9+y
Your answer
Answers
what is the area of a trapezoid with side lengths of 13,13,20,30 and a height of 12 cm
Answers
Answer:
Area = [tex]156cm^{2}[/tex]
Step-by-step explanation:
A=a+b
2h=13+13
2·12=156cm²
I hope this helps you :)
Triangle ABC has the following angle measures; The measure of angle B is 38, the measure of angle C is 56, what is the angle measure for angle A?
Answers
7x= 5 + y write the standard form of the equation
Answers
Answer:
7 * x = 5 + y
Step-by-step explanation:
hope this helps!, you can correct me if I'm wrong.
6. What is the equation in point-slope form of the line that passes through the points (-2, 18) and
(1, -3)?
A. y +3 = -7(x - 1)
B. y -3 = -7(x + 1)
C. y+3 = 7(x + 1)
D. y - 3 = 7(x - 1)
PLEASE HURRY ITS A TIMED TEST!!!!!
Answers
Answer:
B) y-3= -7(x+1)
Step-by-step explanation:
An item is regularly priced at $40. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?
Answers
Answer:
5$ is discounted from the regular price.
Nitrogen and oxygen are the most abundant gases in Earth’s atmosphere. A nitrogen molecule is 0.00000000003 meters larger than an oxygen molecule.
Which statements describe writing 0.00000000003 in scientific notation? Check all that apply.
Answers
Answer:
3 x 10 to the 11th
Step-by-step explanation:
move the decimal to the right, keeping it positive, 11 times to make it 0.3
Answer:
The exponent represents the number of places the decimal moves.
The decimal moves to the right.
The exponent is negative.
Step-by-step explanation:
-5(-6k + 10) =
Help ASAP
Answers
Answer:
30k - 50Step-by-step explanation:
-5 (-6k + 10)
= 30k - 50
Classify the following polynomial: 3x² + 7x - 5
Answers
Answer:
trinomial
Step-by-step explanation:
Since this polynomial has 3 different terms, this is, in fact, a trinomial.
Hope this helps :)
At Norris Middle School 11 out of 22 students bike to school. At Lewis and Clark Middle School 14 out of 28
students bike to school. Determine whether the ratios are equivalent and explain your reasoning in the
workspace provided.
Answers
Find the y intercept of 12x-6y=36. No ordered pair. Numeric value only. pls help!!
Answers
Answer:
The y-intercept is (0,-6), but the way they want it written the answer is y intercept= -6
Step-by-step explanation:
-7 1/3 > -11 1/4
true or false?!?
Answers
True because -11.25 is smaller than -7.33.
Answer:
True
if it took 2 hours to clean 4 houses how many houses could be cleaned in 3 hours
Answers
Answer:
6
Step-by-step explanation:
it would be six in one hour he would clean 2 houses in two 4 houses then in three it would be six
Answer:
I think you can clean 6 houses.
3x+1 = 5x-9. what is the value of x?
Answers
Explanation:
Take 3x+1=5x-9 and subtract 1 from both sides.
Now you have 3x=5x-10, Subtract 5x from both sides to get -2x= -10
Now divide both sides by -2 and you have x=5 :).
Answer:
X equals 5
Step-by-step explanation:
3x+1=5x-9
3(5)+1=5(5)-9
15+1=25-9
16=16
Please help me it would mean a lot
Answers
42.5 i think
The whole angle is 127 minus the angle we know (32) this leaves us with 85 for the rest of the angle but we still have to deal with the angle bisector so we divide it by 2 leaving us with 42.5 I'm pretty sure.
You need to find two numbers where one number is 4 times as large as the other and where the difference is
the two numbers are 39. What are the numbers?
equation
Answers
4x = y
y - x = 39
Substitute the value of y in
4x - x = 39
3x = 39
x = 13
4x = y
Y = 52
x = 13 and y = 52. Your welcome and a Brainliest would be much appreciated
Solve the inequality 5x + 3 > 48
Answers
Answer:
Step-by-step explanation:
5x + 3 > 48
5x > 48 - 3
5x > 45
x > 45/ 5
x > 9
Answer:
x = 9
Step-by-step explanation:
5x + 3 > 48
Subtract 3 to both sides
5x > 45
Divide by 5 to both sides
x = 9
To check if the answer is correct, you can always plug in 9 instead of x and solve the equation.
Hope this helps and pls do mark me brainliest if you can:)
Endpoint: (-8, -10), midpoint: (10,-7)
Answers
Answer:
(28,-4)
Step-by-step explanation:
what is wrong with the equation?
Answers
Answer:
I think X=3
Step-by-step explanation:
When adding fractions you have to find a common denominator, the easiest way is to use the other number for it. So with [tex]\frac{x}{2}[/tex] you would multiply the top and bottom by 6, and with [tex]\frac{x}{6}[/tex] you would multiply both the top and bottom by 2. You should then have [tex]\frac{6x}{12}[/tex]+[tex]\frac{2x}{12}[/tex]. You add the tops together which will leave you with 8x and the bottom stays the same. Then you multiply the the 2 by the 12, and when doing this the 12 will cancel out. leaving you with 8x= 24. Finally you divide 24 by 8 and X is 3.
Newton has 10 more dimes than nickels. He has
twice the number of quarters than nickels. If he
has $6.20, how many of each coin does he have?
Answers
Given:
Newton has 10 more dimes than nickels.
He has twice the number of quarters than nickels.
Total amount he has = $6.20.
To find:
The number of each coin.
Solution:
Let the number of nickels be x.
Newton has 10 more dimes than nickels.
Dimes = x+10
He has twice the number of quarters than nickels.
Quarters = 2x
We know that, 1 nickel = $0.05, 1 dime = $0.10 and 1 quarter = $0.25.
Total amount he has is $6.20.
[tex]x\times 0.05+(x+10)\times 0.10+2x\times 0.25=6.20[/tex]
[tex]0.05x+0.10x+1+0.50x=6.20[/tex]
[tex]0.65x=6.20-1[/tex]
[tex]0.65x=5.20[/tex]
Divide both sides by 0.65.
[tex]x=\dfrac{5.20}{0.65}[/tex]
[tex]x=8[/tex]
Now,
Number of nickels = 8
Number of dimes = 8 + 10 = 18
Number of quarters = 2(8) = 16
Therefore, the number of nickels, dimes and quarters are 8, 18 and 16 respectively.
3х – 2
= 2х – 8
4
I don’t know how to do this
Answers
Answer:
x=17.2
Step-by-step explanation:
here a picture of how i did it cause its hard to expialn
Solve the system x+2z=30 y+z=12 z=1
Answers
Answer:
x=28 y=11 z=1
Step-by-step explanation:
plug in 1 for z in x+2z=30 to get x+2(1)=30. Then you should get x+2=30 which is x=28.
Then, plug 1 in for the second equation of y+z=12 so you get y+1=12. Then you should get y=11.
What to use? Pick two points from the table and
use the slope formula to find the slope.
Example: The table below has a constant rate of
change. Find the slope.
Х
Y
- 1
4
0
6
1
8
2
10
3
12.
4.
14
Answers
Answer:
The slope is 1/2
Step-by-step explanation:
AS seen in the graph I provided you can see that the points are increasing by 1/2
someone help me please please please I really need this
Answers
Answer:
Step-by-step explanation:
12
rs st tw rt rw sw
13
sr sw tr st tw
14
tr and tw
sr and st
I'll depend on you to add the proper markings on the answer.
Find x: 2(4x − 3) − 8 = 4 + 2x
Answers
2(4x - 3) - 8 = 4 + 2x
1. Distribute
8x - 6 - 8 = 4 + 2x
2. Collect like terms
8x - 14 = 4 + 2x
3. Collect like terms again (add 14 and subtract 2x)
6x = 18
4. Divide by 6
x = 3
Take away 2x from both sides:
6x - 6 = 4
Add 6 and 8 to both sides and you end up with
6x = 18
Now for this step you divide both sides by 6 so that the coefficient of x is 1. You end up with x = 3. Hope that this helps and have a great rest of your day.
I need help my mom is going to kill me
Answers
Answer:
x=8
m<FGH=32
m<HGI=32
m<FGI=64
Step-by-step explanation:
The first thing you're going to do is form an equation using 5x-8 and 6x-16. The reason for this is because the two angles FGH and HGI are congruent. You form an equation by setting the two equal to each other. LIke this:
5x-8=6x-16
Then you will find x which is 8. After you find x just plug in x for one of the equations like so:
5(8)-8=_ or 6(8)-16=_
You only need to plug in x for one of the angles because they are congruent so you will get the same answer.
To find the measurment of FGI you add the values from FGH and HGI together (32+32) and you'll get 64.
Diana usually drives at average rate of 30 mph.
If Diana drives with the average rate x mph, how long would it take her to get to Tony's house?
Answers
Answer:
12/x hours
Step-by-step explanation:
d=12
s*t=d
t=d/s
t=12/s
Hope this helps pls if it help u mark me BRAINLIST pls thank u.
Answer:
12
Step-by-step explanation:
no