George solved the following system of equations using substitution.
y = 4.3 – 21
12x – 3y = 63
He decided there is no solution. After the following steps:
y= (4x – 21)
12x - 3(4x – 21) = 63
12:- 12.c + 63 = 63
63 = 63
Is George correct in his conclusion? If not choose the correct solution below. If he is correct, select that choice.
A) George is correct with no solution.
B) He is not right. There are infinitely many solutions.
C) He is not right. The solution is (63,63)
Answers
Answer:
B
Step-by-step explanation:
-4x + y = -21
12x -3y = 63
-4/12 = -1/3
1/-3 = -1/3
-21/63 = -1/3
If we graph the two lines, we can discover that are the same, so they have infinite points in common
Related Questions
please help asap!! (Marking brainliest)
Answer this using a graphing method!
Answers
Step-by-step explanation:
5x-2y=10
x-y=-1
Addition method
multiply the second equation by -2 and add it to the first one
5x-2y=10
-2x+2y=2
Total 3x=12
Divide by sides by 3
x=4
Now multiply the second equation by -5 and add it to the first one
5x-2y=10
-5x+5y=5
3y=15
Divide both sides by 3
y=5
Solutions are x=4 and y=5
2nd method
if x-y=-1, so x=y-1
bring the value of x in the first equation
5(y-1)-2y=10
5y-5-2y=10
put the similar term together
3y=15
Divide both sides by 3
y=5
now bring the value of y in one of the equation
x-y=-1
so x-(5)=-1
x=-1+5
x=4
Solutions are x=4; y=5
A standard deck of playing cards contains 52 cards, equally divided among four suits(hearts, diamonds, clubs, and spades). Each suit has the cards 2 through 10, as well as a jack, a queen, a kind, and an ace.
If the 3 of spades card is drawn from a standard deck and is not replaced, what is the probability that the next card drawn is a spade OR a kind?
A) [tex]\frac{1}{17}[/tex]
B) [tex]\frac{16}{51}[/tex]
C) [tex]\frac{4}{17}[/tex]
D) [tex]\frac{5}{17}[/tex]
Answers
Answer:
4/17
Step-by-step explanation:
Tasha needs to walk 7/10 miles to school. She has already walked 3/5 mile. How much farther does Tasha need to walk? Answer in simplified form, if needed.
Answers
Answer:
1/10
Step-by-step explanation:
We are to determine the difference between the miles walked Tasha already and the total number of miles to school
[tex]\frac{7}{10} - \frac{3}{5}[/tex]
[tex]\frac{7-6}{10}[/tex] = [tex]\frac{1}{10}[/tex]
A certain type of bacteria doubles each day. If there were 101 bacteria to start with, how much bacteria will there be after 11 days?
Round to the nearest whole number.
Type your answer
Answers
Answer:
There will be 206,848 bacteria after 11 days. whewwww
Step-by-step explanation:
f(x) = 101x
x = 11
f(11) = 206,848
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
If sally invests $400 into the Bank of Reyonds that offers her a 6% interest, compounded monthly, how much money will she have in the bank in 5 years?
Answers
Given:
Principal = $400
Rate of interest = 6% compounded monthly
Time = 5 years.
To find:
The amount in the bank after 5 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.
Interest compounded monthly. So, [tex]n=12[/tex].
Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get
[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]
[tex]A=400\left(1+0.005 \right)^{60}[/tex]
[tex]A=400\left(1.005 \right)^{60}[/tex]
[tex]A\approx 539.54[/tex]
Therefore, the amount of money in the bank after 5 years is $539.54.
I need help
4x^2-8x-23=0
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: Check the screenshot below!
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
The diameter of a sphere with a volume of 121.5 cubic mm is ___ mm.
Answers
Answer:
Diameter= 6.15
Step-by-step explanation:
Like the radius explanation but multiply the answer by 2.
Andrew buys 4 books for the same price, and also a video for $18. His total bill was $110. What was the cost of a book
Answers
Help ASAP Need This Answered RN
Answers
B(1,4)
C(4,1)
D(2,0)
E(0,1.5)
hello are you there my i please have some help
Answers
Answer:
3^-5
Step-by-step explanation:
x^-3=1/x^3
this rule applies to all negative exponents lol
What is the value of -5 ?
Answers
Answer:
-1 because if you look you have multiple it
Step-by-step explanation:
hope this help
can you help with this Its due today.
Answers
Answer: x squared equals y
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Here is the answer
Step-by-step explanation:
Triangle CAT is an equilateral triangle. Find x and AT
Answers
If the slowest time and the fastest time are removed from the data, how does the new mean compare to the mean of the original data set?
A. The mean would not be comparable as the data sets are different.
B.The mean would increase as there is less variability in the data.
C. The mean would decrease as there is less variability in the data .
D.The mean would not change as the lowest and greatest values were removed .
Please help hurry
Answers
Answer:
A or C Sorry!
Step-by-step explanation:
Chris got 28 out of 35 correct in his test.
What fraction of the marks did he get correct?
Answers
Answer:
4/5
Step-by-step explanation:
Rewrite the function f (x) = 3 (x - 1)^2 – 2 in the form f(x) = ax^2+bx+c
Answers
Answer: 3x^2-6x+1
Step-by-step explanation:
In this question, you just have to foil out the expression and multiply things out to get the results. Rewrite it if you need so you can caluate it like what I did in this picture.
3(x^2-2x-1)-2
3x^2-6x-3-2
F(x) = 3x^2-6x-5
Please Help me!!! The rectangle has a width of 6 in and a length of 8 in. What is the Perimeter? What is the Area? Remember: Area is length x width. P= A=
Answers
A television was originally sold for $485. The television is now on sale for $388. What is the percent markdown?
Answers
Which one should I be choosing?
Answers
Answer:
B) m∠S= 116, m∠Q=64, m∠T= 64
Step-by-step explanation:
S and r are the same angle so b or d is automatically left
The degree for quad lateral is 360 so
116x4 which is d isn’t =360 so b is left
You can check by
64x2+116x2=360!
Pls help me I need this done . Look at picture . What is the measure of..
Answers
The anwer is 62 degrees
Step-by-step explanation:
angle x and the angle with a measure of 62 degrees are alternate exterior angles therefore they are congruent
rename 11/5 as a mixed answer
Answers
Answer:
[tex]2\frac{1}{5}[/tex]
Step-by-step explanation:
11 goes into 5 two times, but we are left with a remainder of 1.
So, we can say that the mixed number would be [tex]2\frac{1}{5}[/tex].
Point R is located at (8, 13). Where is R' after a translation 8 units left and 6 units down?
Answers
Answer:
R' = (0,7)
Step-by-step explanation:
Chose the best estimate for 18% of 54
Answers
Answer is in the file below
tinyurl.com/wpazsebu
Evaluate:
f(x) = 3x – 4, when x=-2
O f(-2) = 2
O f(-2) = -10
O f(-2) = -2
o f(-2) = 1
Answers
55 x 32 / 32
HELPPP GIVING BRAINLIEST
Answers
Answer:
55
Step-by-step explanation:
Just multiply then divide:
55 x 32 = 1760
1760 ÷ 32 = 55
Or just easier like:
55 x 32 ÷ 32 = 55
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
х
NK
a
1
2
3
у
2
4.
8
16
Is the table linear, exponential, Quadratic, or not a
function at all?
Answers
Answer:
Is Linear
Step-by-step explanation:
Because The number said that
please help! quickly
Answers
Answer:
Step-by-step explanation:
Area of a cone is pie times radius square times height divided by 3
So it will be 3.14 x (4x4)x 9/3= 150.72
If a car has tires with a diameter of 28 inches and is traveling at 55 mph, how fast are its tires spinning, in rpm^ prime s (revolutions per minute)? [There are 63,360 inches in 1 mile) Round your final answer to 2 decimal places .
Answers
Answer:
The tires are spinning at 660.49 revolutions per minute.
Step-by-step explanation:
The speed of the tires (v) is the same that the speed of the car, so to find the angular velocity of the tires we need to use the equation:
[tex] \omega = \frac{v}{r} [/tex]
Where:
r: is the radius of the tires = d/2 = 28 inches/2 = 14 inches
[tex]\omega = \frac{55 mph}{14 inches*\frac{1 mile}{63360 inches}} = 2.49 \cdot 10^{5} \frac{rad}{h}*\frac{1 h}{60 min}*\frac{1 rev}{2\pi rad} = 660.49 rpm[/tex]
Therefore, the tires are spinning at 660.49 revolutions per minute.
I hope it helps you!
Please please help me on this it’s due soon!!!!
Answers
Answer:
1 cup of milk = 3cups of brown sugar
Answer:
It's 3
Step-by-step explanation:
Because...
When we see the table we can find that it is given 2×3=6, 6×3=18, .... and so on so if we multiply 3 with 1 cup of milk then
3×1=3
So from this the answer is 3
Hope you understood!!
