Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
y=4x+3
Step-by-step explanation:
one A
if u send me a link key why ess
Use system of equations to solve it
A farmer who keeps goats and chickens boasted to another:
I have animals in the yard with 120 legs and only 37 heads. How many goats and how many chickens did he have?
its urgent
Answer:
Step-by-step explanation:
chickens x
goats y
4x+ 2y=120 2y=120-4x/ 2 y= 60- 2x
x+y= 37 x+y=37 x+ 60- 2x= 37
y= 60-2x
x= 23
y= 60 - 2*23 y= 14
x= 23 x=23
For a Valentine's Day dance, tickets for couples cost $12 and tickets for individuals cost $8. Suppose 250 students attended the dance, and $1580 was collected from ticket sales. How many of each type of ticket was sold?
PLEASE DO THIS IN ELIMINATION OR GRAPHING METHOD (NOT substitution method, as I already did it like this)
Answer: 105 couple tickets and 40 individual tickets
For this I will use the "Graphing Method"
First, we need to set up two equations.
-> Let x be the number of couple tickets.
-> Let y be the number of individual tickets.
-> It is "2x" because a couple means two.
$12x + $8y = $1,580
2x + y = 250
Next, we will graph this.
-> The point at which the two lines intersect is our solution.
-> See attached.
-> x = 105, so 105 couple tickets
-> y = 40, so 40 individual tickets
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:
Step-by-step explanation:
Let's imagine if all the tickets were for individuals
The cost would be 250 x $8 = $2000
That is $420 higher than the actual cost.
The difference between a ticket for couples and a ticket for individuals is $4
Then, we can conclude that there are 420 : 4 = 105 couple tickets that were sold.
And, 40 individual tickets that were sold
The reason why we have 420:4 is because at the start, we assume every ticket was individuals. On the process, we replace one individual ticket by a couple ticket, keep replacing until the gap is exactly 420.
Hope this helps :)
What is the maximum value of P = 24x + 30y, given the constraints on x and y listed below?
Answer:
Answer:So the maximum value of P is 138.Step-by-step explanation:
P(0,0)= 24(0) + 30(0) =0
P(0,1)= 24(0) + 30(1) =30
P(5,0)= 24(5) + 30(0) =120
P(2,3) =24(2) + 30(3) = 138I also
If the linear equation is P = 24x + 30y. Then the maximum value of the linear equation P is 138.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The maximum value of P = 24x + 30y will be
P(0,0)= 24(0) + 30(0) =0
P(0,1)= 24(0) + 30(1) =30
P(5,0)= 24(5) + 30(0) =120
P(2,3) =24(2) + 30(3) = 138
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
The height of a ball in meters is modeled by fx 5x 2 50x, where x is the time in seconds after it is hit. How long is the ball in the air
Answer:
Equation is incorrect
Step-by-step explanation:
The equation is not written correctly. It is written with no arithmetic signs linking the expressions. One might assume it is f(x) = 5x^2 + 50x, but even so, something is still wrong.
The equation tells us that the ball will never return to the ground after it is hit. There are no nonzero positive values of time, x in seconds) for which this equation will produce the "0" for the height at ground level.
Please check the equation.
Narne:
Solve the inequality and graph
1.
X + 8 < -12
Solution
Graph: ------->
How do I solve one step inequality’s
Answer:
[tex]x < -20[/tex]
Step-by-step explanation:
Given the following question:
[tex]x+8 < -12[/tex]
In order to solve one step inequalities, we solve how we would normally solve a one-step equation and then graph the answer on a number line.
[tex]x+8 < -12[/tex]
[tex]8-8=0[/tex]
[tex]-12-8=-20[/tex]
[tex]x < -20[/tex]
Now to graph the inequality on a number line, keep a few things in mind:
. x is less than -20 which means the line would go the opposite way of the negative 20.
. < is a greater than sign, not a greater than or equal sign (≤) so the number line will have a open point.
. The number line will have a point on -20.
Hope this helps.
angle a and angle b are supplementary angles. if m angle a = (7x+14)° and m angle b =( 5x-26)°, then find the measure of angle b.
Answer: 54 degrees
Step-by-step explanation:
What is the value of x in the triangle?
Which table represents a function?
Emil would like to estimate the probability of 2 or more heads coming up in 3 coin flips. To do this, he has a computer randomly select 0 or 1 three times, with 0 representing heads and 1 representing tails. The results of 12 trials are shown in the table. 111 011 000 010 100 111 010 111 111 101 000 111 What is Emil's estimated probability, based on this simulation? Enter your answer as a fraction, in simplified form, in the box.
Probability helps us to know the chances of an event occurring. Emil's estimated probability, based on this simulation is 0.4167.
What is Probability?
The probability helps us to know the chances of an event occurring.
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
As it is given that if the output of the computer is 1, then it represents tails, while the 0 represents the head. Also, the results of 12 trials are 111, 011, 000, 010, 100, 111, 010, 111, 111, 101, 000, 111.
Now, in the set of results, we need to calculate the number of results in which the outcome is 2 or more heads, therefore, we need the output that has 2 or more zeroes in it.
Results with 2 or more zeroes are 000, 010, 100, 010, 000
The number of results with 2 or more zeroes is 5.
The total number of possible results is 12.
The probability That Emil will get 2 or more heads can be written as,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
[tex]\rm Probability(2\ or\ more\ zero) = \dfrac{\text{Number of results with 2 or more zeroes }}{\text{Total number of possible results }}[/tex]
[tex]\rm Probability(2\ or\ more\ zero) = \dfrac{5}{12} = 0.4167 = 41.67\%[/tex]
Hence, Emil's estimated probability, based on this simulation is 0.4167.
Learn more about Probability:
https://brainly.com/question/795909
Find 3 3/4+1 2/3 in the simplest form
Step-by-step explanation:
3¾+ 1⅔ = [ 3+1] +( ¾ +⅔)= 4+( 9/12 + 8/12)
= 4 ¹⁷/12 (θ‿θ)I need help with solving this bisector
Answer:y = 5. y = 5
Step-by-step explanation:
What could you combine with 29 to get 49
Answer:
2 tens
Step-by-step explanation:
2 tens cause it literally is just adding twenty and this time i swear it's correct because i checked all the other ones
Let that be x
x+29=49x=49-29x=20x=2(10)Its 2 tens
Option C
Complete the equation that involves multiplication contains the variable x, and has a solution of 7.
x = 56
Enter another equation that has the same solution and includes the same variable and numbers but uses division.
Answer:
56 divided by 8
Step-by-step explanation:
7 times 8 equals 56
therefore 56 divided by 8 equals 7 ANSWER
and 56 divided by 7 is 8
Fact families
Select the correct answer from each drop-down menu.
Complete the sentences with the correct spelling of the missing words.
John found a stray cat in The cat looked hungry and sad, so John decided to feed the cat. He brought her home and fed her some milk. The milk the cat’s thirst. The cat seemed very after that
John found a stray cat in the alley. The cat looked hungry and sad, so John decided to feed the cat. He brought her home and fed her some milk. The milk quenched the cat’s thirst. The cat seemed very tranquil after that.
What is the meaning of alley, quenched and tranquil?Tranquil is an adjective that means that someone or something is peaceful or calm. Quenched is a verb which means to satisfy one's thirst by drinking something. It is the past tense of quench. Alley is a noun which means a long and narrow passageway.
To learn more about quench, please check: https://brainly.com/question/8365654
3.) MULTIPLE CHOICE: In 1983 a locally-owned car company sold 2,673 cars. In 2006, the car sales
rose to 4,194. What was the average rate of change for the total number of cars sold?
B.) approximately 15 cars per year
A.)3,434 cars per year
D.) 1,521 cars per year
C.) approximately 66 cars per year
Answer:
C) approximately 66 cars per year
Step-by-step explanation:
From 1983 to 2006, that is 2006 - 1983 = 23 (years).
The car sales rose from 2673 to 4194, that is 4194 - 2673 = 1521 (cars)
So the average rate of change is : 1521 : 23 = approx. 66 cars per year
:D hope it helps
Could anyone find the answer for this?
Answer:
63cm
3 x 21 = 63
Answer: 63 cm
Step-by-step explanation: For every one cm deep, there is a further scale of 21 cm more. If the pond is 3 cm deep, then the scale would be 21 * 3, which is equivalent to 63.
Need help finding the measure of the arc or angle indicated
Answer:
70 degrees
Step-by-step explanation:
Factor
10x5 +5x2 -15
5 (225 + x2 – 3)
10 (225 + 5x2 – 15)
5 (2005 + 5x2 – 15)
5x2 (2x3 + x - 3)
Step-by-step explanation:
I hope this helps.........
Jadon has 4 feet of ribbon to decorate pockets. He needs 1/3 foot of ribbon to decorate each pocket. How many pockets will jadon be able to decorate?.
Answer:
4 feet of ribbon ÷ 1/3 foot riboon = 12 pockets
Cody found the sum of the exterior angles to be 380°. Did Cody make an error? If so describe it. No, Cody did not make an error. The sum of the exterior angles of a triangle should be 380°. Yes, Cody made an error adding the three exterior angles together. Yes, Cody made an error drawing the exterior angles. The 145° angle is not an exterior angle. Yes, Cody made an error drawing the exterior angles. The 100° angle is not an exterior angle.
Answer:
the answer is C.
Step-by-step explanation:
Answer C.
The sum of the square of a positive number and the square of 2 more than the number is 20. What is the number?
Answer:
Let one number = x
Let the other number = x + 2
Use these variables to establish appropriate equations.
x2 + (x + 2)2 = 52
Solve for x from this equation. Expand any terms to get rid of parentheses.
x2 + x2 + 4x + 4 = 52
Combine any like terms.
2x2 + 4x - 48 = 0
WE now have a quadratic equation. Factor out a 2.
2(x2 + 2x - 24) = 0
Factor completely.
2(x + 6)(x - 4) = 0
Set the binomial factors equal to zero.
x + 6 = 0 and x - 4 = 0
Solve for x from these parts. Choose the positive x value.
Please help me anwser these questions. No URLS
Answer:
$6400 at 13%, $3600 at 10.5%82 hot dogs and 91 hamburgersStep-by-step explanation:
These are variations of a "mixture problem." A reasonable approach to the solution is to choose a variable to represent the quantity of the item contributing most to the mix. Then the quantity of the other item is the difference from the total quantity and the variable value. The equation you write will add up the values of the different quantities to get the total value.
__
1.Let x represent the amount invested at 13%. Then 10000-x is the amount invested at 10.5%, and the total interest earned is ...
0.13x +0.105(10000 -x) = 1210
0.025x +1050 = 1210 . . . . . eliminate parentheses
0.025x = 160 . . . . . . . . . subtract the constant on the left
x = 6400 . . . . . . . . . . divide by the coefficient of the variable
10000 -x = 3600
Anthony invested $6400 at 13% and $3600 at 10.5%.
__
2.Let x represent the number of burgers sold. Then the number of hot dogs sold is 173-x, and the total revenue is ...
3x +2(173 -x) = 437
x +346 = 437 . . . . . . . . . eliminate parentheses
x = 91 . . . . . . . . . . . . subtract the constant on the left
173 -x = 82
82 hot dogs and 91 hamburgers were sold.
_____
Additional comment
You can solve these by writing two equations in two unknowns. You would let the variables represent the quantities of the two contributors. You would have one equation for the total quantity, and another equation for the total value.
These equations can be solved in any of the usual ways. If you solve by "substitution," where you substitute for the quantity of lower value, the equation you have as a result will match the equation described above.
The reason for keeping the variable representing the larger contributor is that its coefficient ends up positive as the solution progresses. That tends to make the arithmetic a little simpler and to reduce errors.
I'm unsure on how to figure out what "X" is..?
X/2 = 6/3
PLEASE!! SOLVE FOR X
Answer: x = 1.408
Step-by-step explanation:
We can first start by cross multiplying:
7.5x*5 = 4.8*11
We can now evaluate the decimals:
37.5x = 52.8
Now we can divide both sides by 37.5:
x = 1.408
classify polynomials by the degree x2+3x–10
Answer:
A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.
A binomial has two terms. For example: 5x2 -4x
A trinomial has three terms. For example: 3y2+5y-2
Step-by-step explanation:
Find the value of x.
W
Z
35°
4x + 7°
Х
Y
For each value of x, determine whether it is a solution to -20 > 3x+7.
Answer:
53
Step-by-step explanation:
3x+7
3 • (-20)+7
-60+7 = 53
You're welcome !
Chris ate 1/8 of a banana cream pie with a 14 inch diameter. What is the area of the remaining portion of the pie? Round to the nearest tenth. Use 3.14 for pi.
Answer:
Area of a circle is pi x radius squared.
If we use 3.14 for pi, and the Diameter is 14 so that radius will be 7 (half of diameter), this means we have 3.14 x 7 squared = 153.86.
Total area of pie is 153.86.
If 1/8 was eaten that means 7/8 are left.
153.86/8= 19.23
19.23 x 7 = 134.6 to the nearest tenth..
Questions 5)
Scientists estimate that a single atom is 10
-10
meters
across, while a proton is 10-15
meters across. Which
is larger and how much larger is it?
A) Atom
B) Proton
Answer:
the answer is for the question you are asking is A) Atom
HELP HELP HELP HELP WILL GIVE BRAINLIEST
4a^2 - b^2 - 2a + b
factor
Answer:
4a2−b2−2a+b, there are no factorable rational numbers.
Step-by-step explanation: