Answer:
D. (3,1)
Step-by-step explanation:
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
[tex]x-2y=1,x+4y=7[/tex]
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
[tex]x-2y=1[/tex]
Add 2y to both sides of the equation
[tex]x=2y+1[/tex]
Substitute 2y+1 for x in the other equation, x+4y=7.
[tex]2y+1+4y=7[/tex]
Add 2y to 4y.
[tex]6y+1=7[/tex]
Subtract 1 from both sides of the equation
[tex]6y=6[/tex]
Divide both sides by 6.
[tex]y=1[/tex]
Substitute 1 for y in x=2y+1. Because the resulting equation contains only one variable, you can solve for x directly.
[tex]x=2+1[/tex]
Add 1 to 2.
[tex]x=3[/tex]
The system is now solved.
[tex]x=3,y=1[/tex]
I hope this heps you
:)
There are 6 members of the student council and there are 10 chairs in their meeting room. If all 6 members
attend a meeting, how many different seating arrangements are possible?
The number of different seating arrangements is an illustration of permutation
There are 151200 different seating arrangements
How to determine the number of sitting arrangementsThe number of seats (n) is given as:
n = 10
The number of people (r) is given as:
r = 6
So, the number of seating arrangements is:
[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]
This gives
[tex]^{10}P_6 = \frac{10!}{(10 - 6)!}[/tex]
Simplify
[tex]^{10}P_6 = \frac{10!}{4!}[/tex]
Evaluate the quotient
[tex]^{10}P_6 = 151200[/tex]
Hence, there are 151200 different seating arrangements
Read more about permutation at:
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10.
On her pogo stick, Lula made 24 hops
in 30 seconds. At this rate, how many
hops will she make in 50 seconds?
Check whether 20, 18, 40 and 36 are in proportion .
Answer:
Yes, they are in proportion
Step-by-step explanation:
20:18 and 40:36
20×36 and 18×5
720=720✓
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Just one more after this I’m done-
Answer:
I used cosine rule to find length b
Answer:
58.3 is the answer and used cosine
Determine the option that is the least expensive for buying a car.
A.paying $21,000 cash
B.making a $5,000 down payment for a $20,000 installment loan with an APR of 4% over 36 months
C.making a $10,000 down payment for a $20,000 installment loan with APR of 2% over 48 months
D.making no payment for a $20,000 installment loan with APR of 1% over 60 months
Answer:
C
Step-by-step explanation:
Just because I think that's the one ^^
Which of the following shows the expansion of sum from n equals 0 to 4 of 2 minus 6 times n question mark
(check the picture)
the answer choices are:
2 + (−4) + (−10) + (−16) + (−22)
2 + 8 + 14 + 20 + 26
(−4) + (−10) + (−16) + (−22) + (−28)
(−22) + (−16) + (−10) + (−4) + 0
The required sum is 2 + (−4) + (−10) + (−16) + (−22)
Sum of sequencesFrom the given sum of a sequence, we are to find the sum of the given sequence from n = 0 to n = 4
When n = 0
a(0) = 2 - 6(0)
a(0) = 2 - 0
a(0) = 2
When n = 1
a(1) = 2 - 6(1)
a(1) = 2 -6
a(1) = -4
When n = 2
a(2) = 2 - 6(2)
a(2) = 2 - 12
a(2) = -10
When n = 3
a(3) = 2 - 6(3)
a(3) = 2 - 18
a(3) = -16
When n = 4
a(4) = 2 - 6(4)
a(4) = 2 - 24
a(4) = -22
Hence the required sum is 2 + (−4) + (−10) + (−16) + (−22)
Learn more on sum of sequences here; https://brainly.com/question/24295771
Find the value of x and y in the parallelogram below.
Answer:
x=7
y=-17
Step-by-step explanation:
Lets do 10x-7. Basically it will be equal to 63, so the equation will be 10x-7=63
to find x we need to add 63+7=70 and put 10x with an equal sign which is 70=10x
7=x because 70/10=7.
in a simple way it is
10x-7=63
10x=7+63=70
10x=70
x=7
Lets do -5y+3. It is equal to 88.
so it will be
-5y+3=88
-5y=88-3=85
-5y=85
y=-17
Answer:
[tex]\Longrightarrow: \boxed{\sf{x=7, \ y=-17}}[/tex]
Step-by-step explanation:
To find the value of x and y in the parallelogram, you have to isolate it on one side of the equation.
10x-7=63First, add by 7 from both sides.
10x-7+7=63+7
Solve.
Add the numbers from left to right.
63+7=70
10x=70
Then, you divide by 10 from both sides.
10x/10=70/10
Solve.
Divide these numbers goes from left to right.
70/10=7
[tex]\Longrightarrow: \boxed{\sf{x=7}}[/tex]
-5y+3=88Subtract by 3 from both sides.
-5y+3-3=88-3
Solve.
Subtract the numbers from left to right.
88-3=85
-5y=85
Divide by -5 from both sides.
-5y/-5=85/-5
Solve.
Divide the numbers from left to right.
85/-5=-17
[tex]\Longrightarrow: \boxed{\sf{y=-17}}[/tex]
Therefore, the correct answer is x=7 and y=-17.I hope this helps. Let me know if you have any questions.
Find the area of a rectangle with side lengths 3/5 inch and 5/6 inch
Answer:
15/30 0r 1/2
Step-by-step explanation:
You multiply the fractions
Complements and conditional Find The probability of randomly selecting a student who kept the money given that the student was given 4 quarters in a experiment college students were given either 4 quarters or 1 dollor bill and they could ether keep the money or spend it on gum top area of graph is 33 | 12 bottom is 19 | 32
Answer:
I'm not going to lie to you I have no idea I just want my free answers lol
Help me please I beg
Answer:
19y+21
Step-by-step explanation:
[tex] = 3y + 3y + 7y + 6y + 15 + 6 \\ = 6y + 6y + 7y + 15 + 6 \\ = 12y + 7y + 21 \\ = 19y + 21[/tex]
Galileo quería soltar una bola de madera y una bola de hierro desde una altura de 100 metros y medir el tiempo que tardan en caer. Encontró una rampa con una inclinación de 12 grados por la que podía subir para llegar a una altura de 100 metros. ¿Cuanto tendría Galileo que caminar sobre la rampa?
Para llegar a la cima del avión, debe caminar una distancia de 481 m.
¿Qué es un plano inclinado?Un plano inclinado es uno de los tipos de máquina simple que se emplea para facilitar el trabajo.
Ahora, podemos ver que la altura de la rampa es de 100 m está inclinada en un ángulo de 12 grados. La distancia que debe caminar es la hipotenuesa del triángulo.
Que esta hipotenuesa adios c
Por eso;
sen 12 = 100m/c
c = 100 m/sen 12
c = 481 metros
Más información sobre el plano inclinado:https://brainly.com/question/25163928
Select the equation that describes the situation
Han's house is 450 meters from the school. Lin’s house is 135 meters closer to school. How far is Lin’s house from school?
What is the volume of the solid figure below?
1. 88 cm3
2. 76 cm3
3. 38 cm3
4. 42 cm
Answer:
76 cm^3
Step-by-step explanation:
2x4x2=16
5x6x2=60
60+16=76
Which decimal has least value 0.0093 0.6 0.017
Victoria was given the expression -3x+x^2-8+4x-3x^2-2 and asked to simplify it. how can she simplify the expression?
A. -2x^2+x-10
B. 2x^2-x+10
C. -4x^2-7x-6
D. 4x^2+7x+6
Answer:
A.
Step-by-step explanation:
Organize the terms and you have this:
(-3x^2+x^2)+(4x-3x)+(-8-2)
The equal terms, i.e the terms with the same exponent (the ones that are in parentheses) are reduce:
(-3x^2+x^2)=-2x^2
(4x-3x)=x
(-8-2)=-10
Then
-2x^2+x-10
what is the formula of a square
Answer:
a=s2
Step-by-step explanation:
s is the length of the side of the square.
Find the product:
(i) (5 – 2x) (3 + x)
[tex] \: [/tex]
[tex] \large\red{ \longrightarrow} \pmb{ \sf{(5 – 2x) (3 + x)}}[/tex]
[tex] \: [/tex]
[tex] \mapsto \: \: \: \sf{5(3 + x) – 2x(3 + x)}[/tex]
[tex] \: [/tex]
[tex] \mapsto \: \: \: \sf{(5 × 3) + (5 × x) – (2x × 3) – (2x × x)}[/tex]
[tex] \: [/tex]
[tex]\leadsto \: \: \: \sf{ 15 + 5x – 6x – 2x ^{2} }[/tex]
[tex] \: [/tex]
hope it helps!! :)
The Chicago Bulls make a three-point shot in basketball.
A snowmobile priced at $2,800 is on sale for 20% off. What is the SALES price of this snowmobile?
Answer:
SALES price of this snowmobile is $2,240
Step-by-step explanation:
percentage:value of sales:
20% of 2,80020/100 × 2,80056,000 /100$560price after discount:
$2,800 - $560$2,240Quincy and Ray keep track of their scores in a game. The person with a greater score is winning the game. Quincy has a score of -70, and ray has a score of -60. Which statement best explains who is winning and how many points away from 0 that person is?
Answer: 20
Step-by-step explanation: source: trust me bro
Help help help ASAP math math
Y=-1x+5
Slope intercept form is y=mx+b
m = slope
b = y intercept
As you can see from the line, the y-intercept if 5, so b is 5. To find the slope, we take two points, I'm using (0,5) and (2,3), and then divide change y by change in x or y2-y1 / x2-x1
3-5 / 2-0
= -2/2= -1
The slope is -1, so m is -1.
y=-1x+5
What is the limit of the infinite series?
∞∑n=1 (3n^5 / 6n^6 + 1)
Answer:
The limit of the infinite series is equal to zero.
The nth term test is inconclusive ∵ the limit is equal to 0.
By the Comparison Test, this sum diverges.
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]Series Comparison Tests
nth Term TestDirect Comparison Test (DCT)Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \sum^{\infty}_{n = 1} \frac{3n^5}{6n^6 + 1}[/tex]
Step 2: Find Convergence
[Series] Define: [tex]\displaystyle a_n = \frac{3n^5}{6n^6 + 1}[/tex][Series] Set up [nth Term Test]: [tex]\displaystyle \sum^{\infty}_{n = 1} \frac{3n^5}{6n^6 + 1} \rightarrow \lim_{n \to \infty} \frac{3n^5}{6n^6 + 1}[/tex][nth Term Test] Evaluate limit [Limit Rule - VDS]: [tex]\displaystyle \lim_{n \to \infty} \frac{3n^5}{6n^6 + 1} = 0[/tex][nth Term Test] Determine Conclusiveness: [tex]\displaystyle 0 ,\ \sum^{\infty}_{n = 1} \frac{3n^5}{6n^6 + 1} \ \text{can't be concluded that it converges}[/tex]Therefore, the nth term test is inconclusive and another test must be done.
Step 3: Find Convergence Pt. 2
[DCT] Condition 1 [Define comparing series]: [tex]\displaystyle \frac{1}{2} \sum^{\infty}_{n = 1} \frac{1}{n}[/tex][DCT] Condition 1 [Test convergence of comparing series]: [tex]\displaystyle p = 1 ,\ \frac{1}{2} \sum^{\infty}_{n = 1} \frac{1}{n} \ \text{divergent by p-series (harmonic series)}[/tex]∴ since the comparison series is divergent, then our original series is also divergent according to the Direct Comparison Test.
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Learn more about Taylor Series: https://brainly.com/question/23558817
Topic: AP Calculus BC (Calculus I + II)
Unit: Taylor Series
Answer:
zero
Step-by-step explanation:
L’Hospital’s rule states that for two functions f(x) and g(x), if either:
[tex]\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} g(x)=0, \textsf{or}[/tex]
[tex]\ \lim_{x \to \infty} f(x)=\pm \infty \ \textsf{and} \ \lim_{x \to \infty} g(x)\pm \infty[/tex]
[tex]\textsf{Then provided that} \ \lim_{x \to \infty} \dfrac{f(x)}{g(x)} \textsf{ exists, }\lim_{x \to \infty} \dfrac{f(x)}{g(x)}=\lim_{x \to \infty} \dfrac{f'(x)}{g'(x)}[/tex]
[tex]\lim_{n \to \infty} \dfrac{3n^5}{6n^6+1} \rightarrow \dfrac{\infty}{\infty}[/tex]
[tex]\textsf{Let } f(n)=3n^5 \textsf{ and let } g(n)=6n^6+1[/tex]
[tex]\implies f^{'}(n)=15n^4 \textsf{ and } g^{'} (n)=36n^5[/tex]
By L’Hopital’s rule:
[tex]\lim_{n \to \infty} \dfrac{3n^5}{6n^6+1}=\lim_{n \to \infty} \dfrac{15n^4}{36n^5}= \lim_{n \to \infty} \dfrac{5}{12n}=0[/tex]
Solve the measurement conversion problem.
12inches = 1 foot. Convert 3 feet 4 inches to inches, then multiply by 4. Convert back to feet to find your answer.
lake Each canoe is 3 feet 4 inches long. How long would 4 canoes in a row be ?
A) 12 feet 15 inches
B) 12 feet 4 inches
C) 48 inches
D) 13 feet 4 inches
PLEASE HELP WITH THIS
[tex] log_{a}( {b})^{c} = c \times log_{a}(b) [/tex]
_____________________________________________
Thus ;[tex] log_{2}( {6})^{x} = x \times log_{2}(6) [/tex]
Thus the last option is the correct answer.
A painter paid by the hour.if he is paid R360 for 12 hours how much will he be paid for 9 hours
Answer:
Step-by-step explanation: . Paid to the painter for 12 hrs=Rs.360........therefore,......amt paid for 1 hr=360/12=30......... Therefore,.....amt paid for 9 hrs=9*30=Rs.270........hope i helped u:)
The amount paid for 9 hours is R270
How to determine the amount paidThe expression can be represented by using the following ratio
Ratio = Amount : Time
So, we have:
R360 : 12 = Amount : 9
Express as fraction
R360 / 12 = Amount / 9
Multiply both sides by 9
Amount = R360 / 12 * 9
Evaluate the product
Amount = R270
Hence, the amount paid for 9 hours is R270
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i need the answer to the below question
Answer:
69.15%
Step-by-step explanation:
You want the probability of a race time being less than 348 minutes if times are normally distributed with mean 319 minutes, and standard deviation 58 minutes.
ProbabilityThe probability is found using the suggested resources. It will be ...
P(X<348) ≈ 0.6915
As a percentage, that is ...
0.6915 × 100% = 69.15%
The percentage of times shorter than 348 minutes is about 69.15%.
__
Additional comment
The corresponding Z-score is (348-319)/58 = 0.500. Your table should give you the above value directly for that Z-score. No interpolation will be necessary.
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Ally is buying a speed boat for $10,000 with a down payment of $2,500. The bank approved a simple interest flat rate loan for 5 years at 7% APR. How much are the monthly loan payments? (round to the nearest cent) A) $157.50 B) $168.75 C) $180.00 D) $191.25
Answer:
B
Step-by-step explanation:
The monthly loan payment should be $168.75.
Calculation of the monthly loan payment;Since Ally is buying a speed boat for $10,000 with a down payment of $2,500. The bank approved a simple interest flat rate loan for 5 years at 7% APR.
The net principal should be
= $10,000 - $2,500
= $7,500
Now simple interest should be
= $7,500(5)(7%)
= $2,625
Now the total amount should be
= $7,500 + $2,625
= $10,125
Now the monthly payment is
[tex]= 10125\div (12\times 5)\\\\= 10125 \div 60[/tex]
= $168.75
Therefore, The monthly loan payment should be $168.75.
Learn more about rate here: https://brainly.com/question/24338143
Emil purchased 1kg 200 g potatoes, 5 kg 370 g onions and 2 kg 65 g tomatoes.
Find the total weight of her purchases in kilograms.
Please Answer Fast
Which shows the correct solution of the equation 1/2 a + 2/3 b, when ? b=30
Answer:
The answer is 1/2a + 20
Step-by-step explanation:
Given;1/2a + 2/3bb = 30Now, Substitute value of b
1/2a + 2/3b
1/2a + 2/3(30)
1/2a + 2 × 10
1/2a + 20 = a/2 + 20 = (a + 40) ÷ 2
Thus, The answer is 1/2a + 20
-TheUnknownScientist 72
