The first statement is correct and the second statement is not correct as it is derived from the first statement,
We are given two equations;
y = 4x + 3
y = 6x + 1
From the equation of line in slope intercept form, the formula is;
y = mx + c
where;
m is slope
c is y intercept.
Thus, in the 2 equations given, we can see that the slopes and y-intercepts are differentNow, when two equations have different slopes and different slopes, the system is said to have only one solution and can be said to be consistent.Now, a system is only said to be independent if it is consistent and has exactly one solution.This means independency of an equation depends on if it is consistent and has exactly one solution.
Thus, in conclusion, the first statement is correct and the second one is not correct as it is derived from the first statement,
Read more at; https://brainly.com/question/19282045
Answer:
first correct second wrong
Step-by-step explanation:
Determine the equations you would use to represent the situation.
You sold 27 tickets total. Some of the tickets were student tickets and the rest were adult tickers.
You collected $170 selling the tickets. If the student tickets cost $5 and the adult tickets cost $10.
how many student tickets did you sell?
Answer:
You sold 20 student tickets.
Step-by-step explanation:
Given that:
Total tickets sold = 27
Total amount collected = $170
Cost of student ticket = $5
Cost of adult ticket = $10
Let,
x be the number of students tickets sold
y be the number of adult tickets sold
x+y = 27 Eqn 1
5x+10y=170 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=27)
10x+10y=270 Eqn 3
Subtracting Eqn 2 from Eqn 3
(10x+10y)-(5x+10y)=270-170
10x+10y-5x-10y=100
5x=100
Dividing both sides by 5
[tex]\frac{5x}{5}=\frac{100}{5}\\x=20[/tex]
Hence,
You sold 20 student tickets.
i need help! i lost my notes
Answer:
sin A= 3/5
sin C= 4/5
cos A= 4/5
cos C= 3/5
Write the linear equation that gives the rule for this table. x f(x) 1 22 2 23 3 24 4 25 Write your answer as an equation with f(x) first, followed by an equals sign.
Answer:
umm that doesn't make a whole lot of sense if its multiple choice can you give us the options please sorry I couldn't answer
Step-by-step explanation:
Which one is it pls help
Answer:
c
Step-by-step explanation:
Answer:
C. yes because BC/ST = AC/RT
Hope This Helps!
a shirt that cost $5 is marked up 20% what is the markup
Answer:
1 dollar
Step-by-step explanation:
20% = .20(percentage to decimal conversion)
.20 * 5 = 1 or 5 * .20 = 1 either way works
To find the quotient 4 divided1/5 multiply 4 by
Answer:
5
Step-by-step explanation:
When dividing numbers by fractions, we can simply multiply the umber by the reciprocal of the decimal. So,
4 ÷ 1/5 = 4 × (reciprocal of 1/5)
A reciprocal of a number is the same number written under 1. aka, 1 divided by that number, which simply is flipping the numerator and denominator of a number.
So the reciprocal of 1/5 is 5/1 = 5.
So 4 ÷ 1/5 = 4 × 5.
So your answer is 5.
hope it was useful!
What is the slope of y = -1/3x + 2? *
Answer:
-1/3
Step-by-step explanation:
The slope an equation is the number that is being multiplied by x. This is known as the coefficient. A coefficient is a number that’s being multiplied by a variable. In this equation, -1/3 is the slope because that’s the coefficient, it’s being multiplied by the variable x.
Hope this helps! :)
CAN SOMEONE HELP ME ON THIS QUESTION ASAP IT IS DUE IN 10 MORE MINUTES
Answer:
90° degrees
Step-by-step explanation:
cause if you look closely inside the semi circle is a right angle and a right angle is 90°
write the slope intercept form of the equation of each line
Select all that apply.
-10x + 10x + 5x + 5 = 5
solve for x
Answer:
x = 0
Step-by-step explanation:
-10x + 10x + 5x + 5 = 5
5x + 5= 5
5x = 0
x = 0
Two years ago, Jose bought $750 worth of stock in a cell phone company. Since then the value of his stock has been DECREASING at an average rate of 5 1/4 % per year. How much is the stock worth now?
Answer:
$671.25
Step-by-step explanation:
To get the amount by which the stock have reduced after 2 years, we will use the interest formula;
Interest = Principal * rate * time/100
Interest = 750*5 1/4 * 2/100
Interest = 750*21*2/400
Interest = $78.75
This means that the value of the stock has reduced by $78.75 after 2 years;
Amount that the stock worth now = $750 - $78.75
Amount that the stock worth now = $671.25
What is the equation in standard form of the line that passes through the point (4, -3) and has a
slope of -1
Answer:
y=-1x+1
Step-by-step explanation:
− 50 ≤ 7 + 6 ≤ −8 (i need this quick)
Answer:
−50≤7+6≤−8
=0
Find the square root of the fraction 4/49.
A 2/7
B 7/2
C Cannot be done
Answer:
A
Step-by-step explanation:
2 times 2 = 4
7 times 7 = 49
2/7 = 4/49
Hope this helps!!!
Um- help-.. please don’t comment if you don’t know
Answer:
Each point does NOT ALWAYS give the same amount of tickets.
11 point would most likely give 90 tickets.
Step-by-step explanation:
2 points give 18 tickets = 9 tickets per point
3 points give 27 tickets = 9 tickets per point
9 points give 72 tickets = 8 tickets per point
You can add the 2 point value with the 9 point values to find out many point it takes to get to 90 tickets.
18(2 tickets) + 72(9 tickets) = 90(11 tickets)
Answer:
Im, not as sure, but I think it's 10 points!
Step-by-step explanation:
If you divide the tickets by the points, they always come up as a whole number ( 9, 9 , then 8.) To be honest, I was a little stuck, but after messing around,, if you divide 90 by 10, you get a whole number, 9. so I was just thinking this would be right? Maybe? The Points keep increasing, so that follows that pattern...
Honestly, I hope this helps, but I'm super sorry if that is wrong!!
A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50. Lin has $300 to spend on renting the hall for a fundraiser.
Using only the money she has, can Lin pay for a 6 hour event? Explain or show your reasoning.
Using only the money she has, can Lin pay for a 3 hour event? Explain or show your reasoning.
If LaTeX: hh represents the number of hours, what does LaTeX: 22.50h+20022.50 h + 200 represent?
Write and solve an equation to determine the number of hours Lin can rent the community center.
Write and solve an inequality that represents this situation. Explain what the solution to the inequality means in this situation.
Lin can only rent the hall for 4 hours with $300.
Linear equationLinear equation is in the form:
y = mx + b
where y,x are variables, m is the rate of change and b is the initial value of y.
Let c represent the cost of renting the hall for h hours.
From the question, we get:
c = 22.5h + 200
If Lin has $330, hence:
300 = 22.5h + 200
h = 4.4 hours
Therefore Lin can only rent the hall for 4 hours with $300.
Find out more on linear equation at: https://brainly.com/question/14323743
NEED HELP ASAP!
The sum of two numbers is 105. The larger number is 6 less than twice the smaller
number. What are the numbers?
Answer: x=68, y=37
Step-by-step explanation:
The equation for the sum of two numbers is 105 would be x+y=105. You can say the larger number would be x and the smaller would be y. So, x=2y-6. then you plug that into the x in the first equation.
2y-6+y=105
3y-6=105
3y=111
y=37
Then you would plug in the y to one of the equations. I will do the second one but you can do either one.
x=2y-6
x=2*37-6
x=74-6
x=68
A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.Which best describes the complement of choosing a red marble?
choosing a green or blue marble
choosing any marble
choosing a blue, green, or yellow marble
choosing a yellow marble
Answer:
C) choosing a blue, green or yellow marble.
Step-by-step explanation:
The Complement of choosing a red marble means choosing any other marble that isn't red.
From the question , it was said that there were a blue , green, yellow and red marble.
So the Complement of choosing a red marble will be choosing any other marble apart from the red so ,that will be choosing a blue yellow or green marble.
Answer:
c
Step-by-step explanation:
I’m doing a percent equation and I need help here is the question 90% of blank =72
Answer:
80
Step-by-step explanation:
90/100*x=72
9/10*x=72
x=72*10/9
x=80
According to the boxplot shown below, what is the third quartile (Q3) value?
4
11
27
49
Answer:
Step-by-step explanation:
the answer is 49.0 so it’s d I just took the test
The sides of a square field are 28 meters. A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. How much of the field is not reached by the sprinkler? Round your answer to the nearest hundredth. Use 3.14 for π.
Answer:
168.24784 m²
Step-by-step explanation:
Area of the square:
28 x 28=784 sq. m.
Area of the circle:
π(r²)=π(14)²=196π
=615.75216
Area not covered by the sprinkler:
784-615.75216=168.24784 m²
Answer:
The sprinkler does not reach 168.56 m² of the field.
Step-by-step explanation:
Find the circular area sprayed by the sprinkler.
A = πr² Use the formula.
A = π(14)² Substitute. Use 14 for r.
A ≈ 3.14 × 14² Substitute. Use 3.14 for π.
A ≈ 3.14 × 196 Evaluate the power.
A ≈ 615.44 Multiply.
The area of the circular area is about 615.44 ft².
Find the area of the square field.
A = s² Use the formula.
A = 28² Substitute. Use 28 for s.
A = 784 Evaluate the power.
The area of the square field is 784 m².
Find how much of the field is not reached by the sprinkler. Subtract the circular area sprayed by the sprinkler from the area of the square field.
784 − 615.44 = 168.56
Select the equation that shows a proportional relationship between x and y. Oy - 2x + 4 oys 5x O y = 3x - 5 OY-5.8
Given:
There exist a proportional relationship between x and y.
To find:
The equation which represents a proportional relationship between x and y.
Solution:
If there exist a proportional relationship between x and y, then
where, k is constant of proportionality.
We know that, proportional relationship passes through the origin because (0,0) satisfy .
For x=0, check which equation has y=0.
In option A, .
In option B, .
In option C, .
In option D,
Only in option C, we have a equation of the form with 4 as constant of proportionality and it passes through (0,0).
Therefore, the correct option is C.
Answer:
You can give China brainiest.
Step-by-step explanation:
Forty-seven percent of fish in a river are catfish. Imagine scooping out a simple random sample of 25 fish from the river and observing the sample proportion of catfish. What is the standard deviation of the sampling distribution? Determine whether the 10% condition is met.
Question options:
The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.
The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.
The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.
The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.
We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river
Answer:
The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river
Explanation:
Formula to calculate standard deviation = √p(1-p)/n
Given p= population proportion
n= sample size
From the question,
We are given p(population proportion of catfish in the river)= 0.47
n(sample size of fish collected from river) = 25
The standard deviation using the formula above = √0.47(1-0.47)/25
= 0.0998
The 10% condition demands that a sample size be not less than 10% of the population
To check if the 10% condition was met, we know that a river will likely have up to 250 fish in it and so,
10% of 250= 0.10×250=25 fish
Therefore the option B chosen is correct
please solve this equation and show work tysmmmm5(p+6)=8p
Answer:
P=10
Step-by-step explanation:
5p+30=8p
30=3p
10=p
Answer:
5 ( p + 6 ) = 8p
Distribute (multiply 5 by p and 6)
5p + 30 = 8p
Subtract 5p from both sides
30 = 3p
Divide by 3 to isolate variable
10 = p
Step-by-step explanation:
The ratio of money in Terry's bank account to Faye's bank account was 3:7. Terry then put £220 in his account and Faye withdrew £300 from her account. They now had the same amount in their accounts. How much did Terry initially have?
Answer:
Terry initially had £390
Step-by-step explanation:
The ratio of the original amount is 3:7
Let the original amount Terry has be t and the original amount Faye has be f
3/7 = t/f
or simply 3f = 7t ••••••(i)
Terry putting 220 means he now has
t + 220
Faye withdrew 300
He now has f-300
These values are equal
t + 220 = f-300
f = t+220+300
f = t + 520 ••••••(ii)
Put ii into i
3(t + 520) = 7t
3t + 1560 = 7t
7t-3t = 1560
4t = 1560
t = 1560/4
t = 390
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot. y=-16x^2+227x+109
Answer: y=914.1 feet max height
Step-by-step explanation:
You created a Gingerbread house out of the same dough. Each side of the house is a 4 x 6 rectangle. How much Gingerbread dough would you need to create the entire house including the floor? Hint: find the surface area.
Answer:144
Step-by-step explanation:
4x6x6=144
Number 17 please help?
Pls
Answer:
B
Step-by-step explanation:
A _____ is a statement that has been proved
Answer:
Fact
Step-by-step explanation:
A Fact is a statement that has been proved :)