Answer:
(dependent)
(Incosistent)
(Independentt)
Step-by-step explanation:
{4x−2y=102x−y=5
{y=2x−3−2x+y=−5
{2x−5y=143x+4y=10
The system of equations 2x−5y=14 and 3x+4y=10 have unique solution, so they are consistent independent.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
A) The given system of equations are 4x−2y=10 and 2x−y=5
4/2 = (-2)/(-1)=10/5
2=2=2
Since, a₁/a₂ =b₁/b₂=c₁/c₂
The system of equations have infinitely many solution, so they are consistent dependent.
B) y=2x-3 and -2x+y=-5
Here, 2x-y-3=0 and -2x+y+5=0
2/(-2)=(-1)/1≠(-3)/5
-1=-1≠(-3)/5
Since, a₁/a₂ =b₁/b₂≠c₁/c₂
The system of equations are parallel, so they are inconsistent equations.
C) 2x−5y=14 and 3x+4y=10
Here, 2x-5y-14=0 and 3x+4y-10=0
2/3≠(-5)/4≠(-14)/(-10)
Since, a₁/a₂ ≠b₁/b₂
The system of equations have unique solution, so they are consistent independent.
Therefore, the system of equations 2x−5y=14 and 3x+4y=10 have unique solution, so they are consistent independent.
To learn more about the linear system of an equations visit:
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The diameter of Saturn at its equator is about 120,540,000 meters. What is 120,540,000 written in word form?
The Yukon River in British Columbia is 4 times as long as the Osage River in Kansas. If the Osage River is 5 x 102 miles long, how long is the Yukon River? Write an equation to show how you solved the problem.
1.Trisha is writing a report about Guam for Social Studies. She looked up the population of Guam and found it to be about 18 x 104. What is the population of Guam written as a whole number?
The four highest scores on the floor exercise at a gymnastics meet were 9.675, 9.25, 9.325, and 9.5. List the scores in order from least to greatest.
The flagpole in front of Silver Pines Elementary School is 18.375 feet tall. What is 18.375 rounded to the nearest tenth?
Allison and Justin’s father donated $3 for every lap they swam in a swim-a-thon. Allison swam 21 laps and Justin swam 15 laps. How much money did their father donate? Write an equation to show how you solved the problem.
Students are selling handmade magnets at the school craft fair. One magnet costs $0.30, two magnets cost $0.43, three magnets cost $0.56, and 4 magnets cost $0.69, if this pattern continues, how much will six magnets cost? Write an equation to show how you solved the problem.
Mario has $15. If he spends $6.25 on admission to the ice skating rink, $2.95 to rend skates, and $1.65 each for 2 hot chocolates, how much money will he have left? Write an equation to show how you solved the problem.
Answer:
1) one hundred twenty million five hundred forty thousand
2) 2,040 (equation: 4(5 x 102))
3) 1,872
4) 9.25, 9.325, 9.5, 9.675
5) 18.4
6) 108 (equation: 3(21) + 3(15))
7) $0.95
8) $2.50
Step-by-step explanation:
this was long
QUESTION 1 of 10: A Stadium sold 4,000 tickets at $75 ticket, 5,350 tickets at $62/ticket and 7,542 tickets at $49/ticket. What was the total
ticket sales revenue?
a
$16.392
Answer:
£1,001,258
Step-by-step explanation:
(75x4000)+(62x5350)+(49x7542)=£1,001,258
The total sales revenue of the tickets is required.
The total ticket sales revenue was [tex]\$1001258[/tex]
AlgebraNumber of $75 tickets sold = 4000
Number of $62 tickets sold = 5350
Number of $49 tickets sold = 7542
We multiply the number of tickets and the cost of tickets and add them.
[tex]4000\times 75+5350\times 62+7542\times49=\$1001258[/tex]
Learn more about algebra:
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Is the given value of the variable a solution of the equation? Write yes or no. The first one is done for you. 1. x 1 5; x 4 _________________ 2. 13 w 10; w 2 _________________ 3. 2v 12; v 10 _________________ 4. p 7 _________________ 5. 8 w 11; w 3 _________________ 6. 4t 20; t 5 _________________
Answer:
umm lets seeeee
Step-by-step explanation:
What is n
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Robin’s scores: 99, 108, 102, 107, 119
Evelyn’s scores: 125, 137, 138, 145, 145
Find and compare the medians of the data sets. Do the medians support your conclusion that Robin is winning the game?
ANSWER BELOW:
Robin’s median score is 107. Evelyn’s median score is 138. The medians are the same as the means, so the same conclusion would be reached that Robin is winning.
- THXS FOR LOOKING PLUS I DONT CARE IF USE MY ANSWER THEY ARE RIGHT THXS FOR LOOKING
Answer:
Uhh but I really need points haha
Step-by-step explanation:
Robin’s median score is 107. Evelyn’s median score is 138. The medians are the same as the means, so the same conclusion would be reached that Robin is winning.
need help with this last question, please
Answer:
514.1
Step-by-step explanation:
just subtract 15.90 from 530.00 and you will get 514.1
(MIDDLE SCHOOL MATH) what should I put on the y axis, and the x axis?
Please help with math! Giving a thanks
Answer:
The last one is the correct answer
Answer:
1/4x<5-1
1/4x<4
x<16
last one
Heyy I need help here asap please =^=||
Answer:
C
Step-by-step explanation:
Combine like terms (4x and 2x)
brainilest if correct algebra 1
Answer:
The second one.
Step-by-step explanation:
none of the X values are the same, which is what determines functions. Plz give brainliest as this answer is right, I've had this problem before myself once.
*sigh* help me *sigh again*
Answer:
3 and 6 and 24 top to bottom
Step-by-step explanation:
For the middle 18 divided by 6 is 3 so therefore you have to multiply 3 to 2 to get the answer for the first one. For the bottom one you have to do 8/2 and that equals 4 so you multiply 6 by 4 and 4 times 6 is 24, and the for the first one it’s pretty straight forward just divide the second column in half
Find the principal of interest!! random answers will be reported
1. Interest: $640
Rate: 4%
Time: 1 year
2. Interest: $2,016
Rate: 12%
Time: 3 years
Answer:
4: $16,000
5: $4978.66
6: .086278 or 8.62%
Step-by-step explanation:
For the entirety of this problem I am going to assume that the interest is compounding annually
4: to find the interest earned in a period you have the following equation
(principle*(1+i)^n)-Principle
We can plug in the values we know
principle=p
(p*1.04)-p=640
This means that p=640/.04
p=16000
5: This is the same deal as the other one
2016=(p*(1.12)^3)-p
Solve this and get 1.404928p-p=2016
This means that .404928p=2016
Which means that p=4978.66
6: This one is slightly different but we can still use the same formula
720=4000((1+i)^2)-4000
We can add 4000 and then divide by 4000 to get
1.18=(1+i)^2
Take the square root of both sides and subtract 1 to solve for i
i= .086278 or 8.62%
Answer:
1. Interest: $640
Rate: 4%
Time: 1 year
2. Interest: $2,016
Rate: 12%
Time: 3 years
Step-by-step explanation:
Select the fraction that is equivalent to three fourths.
one twelfth
three twelfths
two fourths
nine twelfths
Answer:
nine twelfths
Step-by-step explanation:
nine twelfths is equivalent to three fourths.
Answer:
nine twelfths i think it is answer
Please help with this
Victor bought a handbag that was marked down 60% from an original price of $50. If he paid 15% sales tax, what was the total cost of the handbag
Answer:
$23
Step-by-step explanation:
first you find 60% of 50
50 x .6 = 30
then you subtract 30 from 50
30 - 50 = 20
since they paid $20 for the hand bag we need to find 15% of 20
20 x 0.15 = 3
finally we add 20 and 3
20 + 3 = 23
Please answer the questions on the sheet.
Answer:
good luck! <3
Step-by-step explanation:
I am so sorry I do not know but best of luck to you would do amazing
PLZ HELP ASAP
WORTH BIG POINTS ON BOTH ENDS!
Answer:
1. Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.
2. yes it is possible.
3. 403.87
4. 1.5
Step-by-step explanation: hope this help
Answer:
.-.
Step-by-step explanation:
Polly the penguins singing career has really taken off! Her one-hit-wonder "penguins just wanna have fun" has made ticket sales skyrocket for her world tour! World tour tickets used to cost $43 but due to her success they have increased by 76% . What is the new price of a ticket to her concert?
A).$75.68 C).$76.68
B).$75.72 D).$76.72
Nellie took a total of 27 quizzes over the course of 3 weeks. After attending 4 weeks of school this quarter, how many quizzes will Nellie have taken in total?
Answer:
The answer is 36
Step-by-step explanation:
If you do 27÷3 you get 9. So if it's 4 weeks you just add 9 which is 36
Answer:
36
Step-by-step explanation:
First, we need to know how many quizzes she takes in 1 week.
27 /3 = 9
So, what is missing here is the number of quizzes is 4 weeks, so we will multiply 4 x 9.
4 x 9 = 36
Hope this helps!
PLS Help me thanks :)
Answer: A
Step-by-step explanation: I hope this helps
Determine if the work for the problem below is correct. Correct any errors and explain your thinking.
Answer:
Incorrect
Step-by-step explanation:
Multiplication is incorrect, the answer is actually 144
Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
17 cm
8 cm
12 cm
1
5 cm
Pythagoras' Theorem -
Answer:
[tex]a = 9.4[/tex]
[tex]b = 12.0[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine the values of a and b
To solve for a, we consider the first triangle.
Using Pythagoras:
[tex]a^2 = 8^2 + 5^2[/tex]
[tex]a^2 = 64 + 25[/tex]
[tex]a^2 = 89[/tex]
Take square root of both sides
[tex]a = \sqrt{89[/tex]
[tex]a = 9.4[/tex] -- approximated
To solve for b, we consider the second triangle.
Using Pythagoras:
[tex]17^2 = 12^2 + b^2[/tex]
[tex]289 = 144 + b^2[/tex]
Collect Like Terms
[tex]b^2 = 289 - 144[/tex]
[tex]b^2 = 145[/tex]
Take square root of both sides
[tex]b = \sqrt{145[/tex]
[tex]b = 12.0[/tex] --- approximated
The area of a rectangular patio is 36 1/8 square meters. The width of the patio is 4 1/4 meters. What is the length? Enter your answer as a mixed number in simplest form.
The length of the patio is ___ meters.
Help!!!! me please the first to answer will get brainliest!!!! please help me
=============================================================
Explanation:
Because we're given multiple choices to pick from, we can go through each to do trial and error.
For instance, if v = 52, then
v/13 < -7
52/13 < -7
4 < -7
but that's a false statement since 4 is not smaller than -7. Use a number line to see this. You should have -7 to the left of 4, showing that -7 is the smaller value.
Because 4 < -7 is false, this means v/13 < -7 is false when v = 52. This rules out v = 52. You should find that v = 26 and v = -39 won't work for similar reasons.
Only v = -130 works since...
v/13 < -7
-130/13 < -7
-10 < -7
This is true because -10 is to the left of -7 on the number line.
-------------------------------------------------
Another approach:
We have some unknown number v, and we're dividing by 13 to get the expression v/13. To undo this, we multiply both sides by 13
v/13 < -7
13*(v/13) < 13*(-7) .... multiply both sides by 13
v < -91
So any solution to the original inequality must be smaller than -91. This allows us to rule out v = 52, v = 26 and v = -39.
The value v = -130 is smaller than -91, so it satisfies v < -91. Therefore, v = -130 is a solution to the original inequality.
The Rodriguez family only pays 0.08. Kilowatts the bill is less than $28 how many kilowatts did they use?
Answer:
I would say if its less than $28 then probaly 16 kilowatts.
Step-by-step explanation:
Solve this system of equations.
Be sure to show me your work and steps in solving the problem, demonstrating to me your full understanding of the solution and problem.
3x + 4y = 36
y = -1/2 x + 8
Answer:
for the first one its: y=-3/4x+9
for the second one its: already done
Step-by-step explanation:
During the summer months, science center tickets are 3 for $36.75 and zoo tickets are 4 for $51. How much will a group of 12 students save by choosing the science center? Enter your answer in the box.
Answer:
$6
Step-by-step explanation:
Step 1:
36.75 × 4 = 147
Step 2:
51 × 3 = 153
Step 3:
153 - 147 = 6
The group of 12 students will save $6 by choosing the Science Center.
Yuki bought a pound of confetti for 12$. What is the price, in dollars, per ounce of confetti?
There are 16 ounces in 1 pound.
Answer:
Yukio will pay $2 per ounce for the confetti
Step-by-step explanation:
Divide 12 and 16 that equals 0.75 then multiply 0.75 by 2 four times. and you get 2
Help ASAP
What is the decimal equivalent of 4 over 9.?
Question 1 options:
1)
0 point 1 bar.
2)
0 point 2 bar.
3)
0 point 3 bar.
4)
0 point 4 bar.
Of the 12 people attending a seminar, 4 have blond hair.
What is the probability that a randomly selected person will have blond hair?
Write your answer as a fraction or whole number.
Answer:
........
4/12 ...simplify it if you wanna