Answers
Answer:
The solutions to the system of the equations are:
[tex]y=1,\:x=3[/tex]
Step-by-step explanation:
Given the equations
[tex]y=\frac{2}{3}x-1;\:y=-x+4[/tex]
solving the system of equation
[tex]\begin{bmatrix}y=\frac{2}{3}x-1\\ y=-x+4\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-\frac{2}{3}x=-1\\ y+x=4\end{bmatrix}[/tex]
[tex]y+x=4[/tex]
[tex]-[/tex]
[tex]\underline{y-\frac{2}{3}x=-1}[/tex]
[tex]\frac{5}{3}x=5[/tex]
[tex]\begin{bmatrix}y-\frac{2}{3}x=-1\\ \frac{5}{3}x=5\end{bmatrix}[/tex]
solving for x
[tex]\frac{5}{3}x=5[/tex]
[tex]5x=15[/tex]
Divide both sides by 15
[tex]\frac{5x}{5}=\frac{15}{5}[/tex]
[tex]x=3[/tex]
[tex]\mathrm{For\:}y-\frac{2}{3}x=-1\mathrm{\:plug\:in\:}x=3[/tex]
[tex]y-\frac{2}{3}\cdot \:3=-1[/tex]
[tex]y-2=-1[/tex]
Add 2 to both sides
[tex]y-2+2=-1+2[/tex]
[tex]y=1[/tex]
Therefore, the solutions to the system of the equations are:
[tex]y=1,\:x=3[/tex]
Related Questions
Find the error & explain why it is wrong:
Answers
Answer:
the error is 13√10
because 4√5 + 9√5 = (4 + 9).√5 = 13√5
Step-by-step explanation:
Which of the following equations represents the value of a savings account at the Owl Credit Union at Dundalk High School that has an initial
deposit of $250 and pays an annual interest rate of 2%?
Answers
Answer:
Step-by-step explanation:
Given
Initial deposit (Principal)= $250
Rate = 2%
Time = 1year (annual interest)
Required
Amount after 1 year
First we need to calculate interest
Interest = PRT/100
Interest = 250*2*1/100
Interest 2.5 * 2
Interest = $5.0
Next is to calculate amount;
Amount = Principal + Interest
Amount = $250 + $5
Amount = $255
Hence the value of a savings account at the Owl Credit Union at Dundalk High School that has an initial deposit of $250 and pays an annual interest rate of 2% is $255.
Amount = P + I
Value of savings account is $255
Simple Interest rate;Given that:
Initial deposit = $250
Annual interest rate = 2% = 0.02
Find:
Equations represents value of savings account
Computation:
Equations represents value of savings account = P + PRT
Equations represents value of savings account = 250 + (250)(0.02)(1)
Equations represents value of savings account = 250 + 5
Equations represents value of savings account = $255
Find out more information about 'Savings account'.
https://brainly.com/question/1446753?referrer=searchResults
Please help me please thank you so much in advance
Answers
Answer:
100°
Step-by-step explanation:
first you need to find the other angle. to do so do 180-135=45
so you know 2 angles now. 35° and 45°. Add these angles (you get 80°)
then 180-80=100
Kenya picked 18 flowers from her garden. If 3− 5of flowers in her garden remain unpicked, how many flowers are still in her garden?
Answers
Answer:
4
Step-by-step explanation:
It is 4 because 4 is a even number in the scale in 3-4 and 18 is even.
Let me know if its wrong
Which expression is equivalent to 14x - 7 + 3(2x - 5)
Answers
Answer:
2(10x - 11)20x - 22I hope this helps!
Answer:
are there multiple choices below?????
all I can tell you is that the simplified version of that equation is 20x-22
3/20 of a number is what percentage
Answers
Answer:
The answer is 15%
Step-by-step explanation:
Hope that helps.
The figure below is a square. If m2AEB = (5x + 15)°, what is the value of x?
Answers
Answer: x = 25
Step-by-step explanation: im pretty sure you would square 5 and get 25 then 15 and get 225, then you would divide those two numbers 225 and 25 and get 25
3 3/4 x 2/5 please help
Answers
Answer:
3.3
Step-by-step explanation:
hope this help
Rewrite this number in scientific notation: 494,000
Answers
Answer:4.94*10^5
Step-by-step explanation:
Step-by-step explanation:
Hello there! I think the answer is: 4.94 × 10^5
In scientific notation, you move the decimal point until you get a number between 1 and 10. Then you count the number of digits after.
My reasoning is below-
There are 3 zeros right of the number 494.
Therefore, I got the answer 4.94 x 10^5
Please help! I will give brainliest!
(6^9·6^5)/ 6^15
Answers
Answer:
6^14/6^15 = 6^-1
Which of the following equations is not a linear equation?
Answers
Answer:
its a
Step-by-step explanation:
Since x=5 is a vertical line, there is no y-intercept and the slope is undefined.
Answer:
A
Step-by-step explanation:
What expression is equivalent to 7(7v)
Answers
Answer:
its the 4th one . The one all the way to the bottom
Step-by-step explanation:
God bless!!
I hope it’s right
Please help me with these 5 questions
Answers
Answer:
4. 85
5. 23.9
The rest are correct
When dividing each of the numbers $$3759$$ and $$4139$$ by some positive integer number, the remainder happened to be equal to $$16$$. What is the smallest possible value of the divisor?
Answers
Answer:
The smallest possible value of the divisor is 19
Step-by-step explanation:
The given numbers for division are;
3759 and 4139, the remainder = 16
Let x represent the number
Therefore, we have;
x > 16
x is a factor of 3759 - 16 = 3743, and x is also a factor of 4139 - 16 = 4123
The factors of 3743 obtained from an online resource are 1, 19, 197, 3759
The factors of 4123 obtained from an online resource are 1, 7, 19, 31, 133, 217, 589, 4123
The common factors of 3743 and 4123 are 1, 19
Given that x > 16, we have, x = 19
Therefore, the smallest possible value that will divide both 3759 and 4139 whereby the remainder is 16 = 19
can someone answer this please!!?
Answers
Answer:
6 minutes
Step-by-step explanation:
Answer:
6 minutes
Step-by-step explanation:
i'm pretty sure by my equation, i'm sorry if it is wrong..
Find C. round to the nearest tenth:
Answers
Answer:
56.3 cm
Step-by-step explanation:
[tex] \dfrac{\sin 28^\circ}{27} = \dfrac{\sin 102^\circ}{c} [/tex]
[tex] c\sin 28^\circ = 27 \sin 102^\circ [/tex]
[tex] c = \dfrac{27 \sin 102^\circ}{\sin 28^\circ} [/tex]
[tex] c = 56.3 [/tex]
Answer: 56.3 cm
Answer:
56.3
Step-by-step explanation:
so the og person can get brainlyst
To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for each hour of labor.
Find the slope of the line, What is the meaning of the slope in this context?
Answers
~A line at Busch Gardens moves 25 feet every 8 minutes. How long will it take to reach the ride entrance 300 feet away?
Answers
Answer:
Step-by-step explanation:
45
Step-by-step explanation:
3x+x=180
4x=180
x=45
Hope this helps hit the crown :D
Answer:
Step-by-step explanation:
25 feet for 8 mins
300/25=12
8*12=96
The line will move to 300 feet in 96 mins
can someone do 1,3,4,8 and 9 pls
Answers
Answer:
See attached
Step-by-step explanation:
Attached graphs for 1, 3, 4, 8 and 9
Intersections marked on the graph, feel free to chose any additional point
Write this statement as a conditional statement in the form “if p, then q.”
The measure of an angle is 90 degrees. So, the angle is a right angle.
Answers
Answer:
if the measure of an angle is 90°, then the angle is a right angle.
Step-by-step explanation:
p=the measure of an angle is 90°
q=the angle is a right angle
p is the hypothesis of the conditional statement
q is the conclusion of the conditional statement
can someone help me? (m is a variable if you didnt know, thats what im trying to figure out)-1.5m = -2.55
Answers
Answer:
m = 1.7
Step-by-step explanation:
Divide each side by -1.5 to cancel out the -1.5 next to m. It should now look like this: m = 1.7I hope this helps!
Franklin school is having a Popsicle party for its nine hundred fifty four students.The secretary there will some Popsicle left over to share with the teachers. Each student will get two Popsicle. Popsicle come in boxes that have one dozen Popsicle. There are twenty-five boxes in cartoon, how many boxes of Popsicle? Show your work.
Answers
Answer:
175 boxes
Step-by-step explanation:
There are a total of 954 students since each student will get two popsicles that would mean we need a total of 1,908 popsicles (954 * 2). Since each box contains 12 popsicles then we simply divide the total number of popsicles needed by the number of popsicles that fit in each box to find the total number of boxes.
1,908 / 12 = 159 boxes
Since there are 25 boxes per carton we divide 159 by 25
159 / 25 = 6.36
Now we see that we need at least 6.36 cartons of popsicles, but since we can't get 6.36 we would need to get 7 cartons which would bring a total of
7 * 25 = 175 boxes
Finally, we would end up with 175 boxes of popsicles which would be enough for all the students and have leftover for the teachers.
A jar holds 72 worms and a cup holds 8 how many more does the jar have than the cup
Answers
Answer:
64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
72 - 8 = 64
sjsjskkskalw
In the metric system, which prefix would you use for "1/100"?
A. Milli-
B. Hecto
C. Kilo-
D. Centi-
Answers
Answer:
Milli
Step-by-step explanation:
I WILL MARK YOU BRAINLIEST IF YOU ANSWER
Answers
Answer:
29.25 Pound sterling
Answer:
50.7? I think ..,.
Step-by-step explanation:
39*1.3 = 50.7
Hey, I don´t understand the graphing part of inequalities.
Answers
Answer:
See explaination
Step-by-step explanation:
While graphing inequalities, think of the inequality sign as an equal sign.
So, y=mx+b.
Say the inequality was y>3x+7, I would think fo the > as an equal sign.
So, in your head, "write" it like this: y=3x+7. Hope this helps.
An equation of a line perpendicular to the line represented by the equation y = -
1/2 x - 5 and passing through (6,4) is what?
Answers
Answer:
y= 1/2x+1
Step-by-step explanation:
Answer:
[tex]y=2x-8[/tex]
Step-by-step explanation:
First, remember that perpendicular lines have opposite and reciprocal slopes to the original line. That means for this line, your slope will be 2 (flip the fraction and change the sign). So we have:
[tex]y=2x+b[/tex]
Next, plug in the point that it passes through in order to find the y-intercept (b).
[tex]4=2(6)+b[/tex]
[tex]4=12+b[/tex]
[tex]b=-8[/tex]
So your equation will be:
[tex]y=2x-8[/tex]
Hope this helped!
What could the equation of these two lines be?
Answers
Answer:
I think it's y=mx+b
Step-by-step explanation:
A group of ‘n' friends decided to rent a condominium for a one week vacation in Florida. They decided to share the weekly rent of ‘m' dollars equally. If due to an unanticipated reason two members of the group couldn't make the trip, and the rest of the friends decided not to charge the two who pulled out for the rent; what will be the additional amount each of the remaining friends must pay for renting the condominium?
Answers
Answer:
2m / n² - 2n
Step-by-step explanation:
Given that:
Number of friends = n
Weekly rent = $m
To share rent fee equally :
Each friend will pay : $m / n
If 2 of the friend couldn't make the trip:
Additional amount to be shared by the others = 2(m/n) = 2m/n
Hence additional fee per friend who eventually made the trip:
Additional amount to be shared / number of friend who eventually made the trip
= (2m/n) ÷ (n - 2)
= 2m / n * 1 / n - 2
= 2m / n(n-2)
= 2m / n² - 2n
Which of the following numbers is rational?
-9
0
all of the above
answer quick for brainllest
Answers
Answer:
all of the above
Step-by-step explanation: