Answer:
-2
Step-by-step explanation:
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.
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
solve the equation 4x=48
Answer:
x=12
Step-by-step explanation:
divide by 4 on both sides
the solution to the equation is x = 12.
To solve the equation 4x = 48,
we need to isolate the variable x.
We can do this by dividing both sides of the equation by 4.
4x / 4 = 48 / 4
When we divide 48 by 4, we get 12.
So, 4x = 48 simplifies to x = 12.
Therefore, the solution to the equation is x = 12.
This means that if we substitute 12 for x in the equation 4x, we get
4 multiplied by 12, which equals 48, satisfying the original equation.
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2. P= 60 in. Find the length of each side.
2y + 1
|3y+5
HELP
Answer:
c
Step-by-step explanation:
Please see the attached picture for the full solution.
Find the number which when divided by 4 and increased by 12 is the same as when it is divided by 3 and decreased by 5
Step-by-step explanation:
Let's make the number we're finding to be [tex]a[/tex]. So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be [tex]\frac{a}{4} +12\\[/tex]. It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be [tex]\frac{a}{3} -5\\[/tex]. Since they are the same, we have the equation below.
[tex]\frac{a}{4} +12 = \frac{a}{3} -5\\[/tex]
All we have to do now is to find [tex]a[/tex].
[tex]\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204[/tex]
Answer:Our number must be [tex]204[/tex]. I think
Simplify each of the following expressions. –3(x + 3) + 4x
Answer:
-3(x+3) + 4x
simplifies to
x-9
Step-by-step explanation:
have a good day
Answer: -9
Step-by-step explanation:
−3(x+3)+4x
Distribute:
=(−3)(x)+(−3)(3)+4x
=−3x+−9+4x
Combine Like Terms:
=−3x+−9+4x
=(−3x+4x)+(−9)
=x+−9
Answer:
=x−9
Have a good day can u give me brainliest pls.
Landen has violin lessons every 3rd day and singing lessons every 5th day. Today Landen has both lessons. In how many days will Landen have both lessons on the same day again?
Answer:
The 15th day
Step-by-step explanation:
Violin Lessons - 3, 6, 9, 12, 15
Singing Lessons - 5, 10, 15
Landen will have violin and singing lessons on the fifteenth day.
Hope this helped! :)
Ευρωλο
The Sugar Sweet Company is going to transport its sugar to market. It will cost $7500 to rent trucks, and it will cost an additional $175 for each ton of sugar
transported
Let Crepresent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this
equation to find the total cost to transport 19 tons of sugar.
Equation:
DO
Total cost to transport 19 tons of sugar: sl
х
Answer:
$10,825
Step-by-step explanation:
let C: represent the total cost which is what we are looking for
let a: represent the cost of renting a truck
let b: represent the cost of each tone of sugar
let s: represent the quantity of the tons of sugar
From the question the additional cost of the sugar depends on the tons
so we multiply the tons by $175
so our equation will be
C = a + bs
in this case our value of b is $175
so we have
C = a + $175s
C = $7500 + ($175 * 19)
C = $7500 + $3325
C = $10,825
This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the boxes.
What is the unknown value representing the unit rate?
A. 8
B. 125
C. 140
D. 156
Answer:
C
Step-by-step explanation:
una dintre fetele laterale ale unei piramide patrulatere regulate este triunghi echilateral cu latura de 7cm. Calculati aria bazei piramidei consideratei
Answer:
21.27 cm^2
Step-by-step explanation:
Pentru a calcula aria bazei, putem folosi formula lui Heron Matematic aceasta este;
A = √s (s-a) (s-b) (s-c)
Unde s = (a + b + c) / 2
a, b, c se referă la laturile triunghiului
A = (7 + 7 + 7) / 2 = 21/2 = 10,5
A = √10,5 (10,5-7) (10,5-7) (10,5-7)
A = √10,5 (3,5) (3,5) (3,5)
A = √450.1875
A = 21.2176 cm ^ 2, care este de aproximativ
21.22 cm ^ 2
Pls solve number 4 ASAP pls and thank you
Answer: 7776
........................
If the weather forecast calls for a 20% chance of light rain tomorrow, would you say that it is likely to rain tomorrow?
Answer:
Unlikely
Step-by-step explanation:
There are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
The weather forecast calls for a 20% chance of light rain tomorrow.
Probability of rain:
P(rain) = 20% = 0.2
Complement event: Not rain tomorrow
Probability of complement event P(not rain) = 1 – 0.2 = 0.8 or 80%
P(not rain) > P(rain)
Thus, there are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.
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DIRECTIONS: Use this information to answer Parts A and B.
A home sold for S286,000. The amount the homeowner received, before taxes and closing costs, was the selling price minus the commission to the real estate
agent, which was 6%.
Part A
How much commission did the real estate agent earn on the sale?
Enter the correct answer in the box.
Answer:
$17,160
Step-by-step explanation:
286,000·0.06=17,160
Convert y - 8 = 3(x + 8) to slope-intercept form.
Answer:
y - 8= 3(x+8) in slope intercept form is y = 3x + 32
Answer:
y= 3x-16
Step-by-step explanation:
9. Which property is illustrated?
For all expressions a, b, and c, if a = b , then a+c=b+c.
Distributive Property of Equality
Associative Property of Addition
Commutative Property of Addition
Addition Property of Equality
Subtraction Property of Equality
10. True or False: An argument that uses logic in the form of definitions, properties, and previously proved
Answer:
It is Distributed property and False
Step-by-step explanation:
8x-4=2(4x-4). Does this equation have only 1 solution?
Answer:
No, it has infinitely many solutions.
Step-by-step explanation:
invests $5,000 in a simple interest account for 5 years. What interest rate must the account pay so there is $6,000 in the account at the end of 5 years?
Answer:
They must pay 4% interest rate. Hope I am able to help.
Step-by-step explanation:
4. Z BAD is bisected by AC. What is the value of x? (3pts)
Please see directions on how to paste
parts of your work
B
C
(-4x + 42)
(64 - 6x)
А
D
someone help!! solve for x!!
Kaitlen buys 1 ninth pound of orange slices
Mr. Smith and Mr. Kelly are business partners. They agreed to divide the profits in the ratio of 3: 2. The
profit amounted to $10.
How much did Mr. Smith receive?
Answer: 6
Step-by-step explanation: 10/5=2 2*3=6 which means Mr. Kelly received 4 and Mr. Smith received 6 dollars.
Somebody please help!
Algebra 2 Math question Grade 11
Can anyone please help me with this question? Soon as possible!
Write an equation for the line that passes through the points (3,5) and (-2, 1).
All work must be shown for full credit. Be sure to include slope calculation.
Answer:
[tex]\displaystyle y=\frac{4}{5}x+\frac{13}{5}[/tex]
Step-by-step explanation:
The equation of the line in slope-intercept form is:
y=mx+b
Where m the slope of the line and b the y-intercept.
When two points are given, it's convenient to calculate the slope first.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The points are (3,5) and (-2,1):
[tex]\displaystyle m=\frac{1-5}{-2-3}=\frac{4}{5}[/tex]
The equation is now:
[tex]\displaystyle y=\frac{4}{5}x+b[/tex]
To calculate b, we use any of the given points and solve for b. Use (3,5):
[tex]\displaystyle 5=\frac{4}{5}3+b[/tex]
Operate:
[tex]\displaystyle 5=\frac{12}{5}+b[/tex]
Solve:
[tex]\displaystyle b=5-\frac{12}{5}=\frac{13}{5}[/tex]
The required equation of the line is:
[tex]\boxed{\displaystyle y=\frac{4}{5}x+\frac{13}{5}}[/tex]
HELP PLEASE!! I'M CONFUSED.
Answer:
so am i
Step-by-step explanation:
What single percentage change is equivalent to a 13% decrease followed by a 21% decrease
Answer: 0.66 or 66%? (34% decrease)
Step-by-step explanation: 21+13=34 and 100-34 is 66
-5(c-2)=20-5c+10
help please
Answer:
20+10c
Step-by-step explanation:
-5(c)= -5c
-5(-2)=10
-5c+10=20-5c+10
How do I find the missing side using the Pythagorean theorem?
Answer:
6.7082039325 If you want to round it is 7
Step-by-step explanation:
a squared + b squared = c squared, where as 6 is a, 3 is b, and x is c.
6 squared + 3 squared is 36+9=45, so x is the square root of 45.
6.7082039325
Help me ASAP please!!!
Please help I will give 25 points!
Which of the following i s the graph of f(x) = |3x - 4| + 1?
Answer:
Use slope intercept form to find your y intercept and slope. Once you plot your y intercept (0,1), use your slope (3) to go up three units and to the right one unit.
Step-by-step explanation:
hope this helps *_*
rp+s=t in terms of r, s,and t
Answer:
p=(t-s)/r
Step-by-step explanation:
This is an equation so all we have to do is solve backwards step by step:
rp+s=t
rp+s-s=t-s
rp/r=(t-s)/r
p=(t-s)/r
what is a rhombuses?
Answer:
Hey there! I hope this helps you. If you have any questions or concerns feel free to leave them in the comments so I can answer. Thank you!
A rhombus would be a flat shape that has 4 equal straight sides. People also refer to it as a parallelogram.
-All sides are equal
-Opposite sides parallel
~I hope I helped you! :)~