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
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Hope this helps and pls do mark me brainliest if you can:)
1.2.8 -0.9+y
Your answer
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What to use? Pick two points from the table and
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Example: The table below has a constant rate of
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Y
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Answers
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1. Distribute
8x - 6 - 8 = 4 + 2x
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8x - 14 = 4 + 2x
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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.
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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
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Answer:
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Step-by-step explanation:
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★ Final answer :
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Answers
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equation
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4x = y
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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.
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Answer:
The exponent represents the number of places the decimal moves.
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Step-by-step explanation:
Classify the following polynomial: 3x² + 7x - 5
Answers
Answer:
trinomial
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Hope this helps :)
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.
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[tex]0.05x+0.10x+1+0.50x=6.20[/tex]
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[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.
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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
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?
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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.