Answers
Hi there!
[tex]\large\boxed{\text{System G.}}[/tex]
For a system to have an infinite number of solutions, both expressions must be equal. We can go through each system and determine this:
F:
x + 2 = y
4 = 2y - x
If we rearrange so that both are in the same format, we get:
x + 2 = y
x + 4 = 2y
These cannot be equal, so they do not have infinite solutions.
G:
2y + 6 = 4x
-3 = y - 2x
Rearrange:
2y + 6 = 4x
-y - 3 = -2x
We can try to make the bottom equation look like the top equation by multiplying all terms by -2. We get:
2y + 6 = 4x. This is the same as the top, so G has infinite solutions.
Just to be sure, we can go through the others:
H:
y + 3 = 2x
4x = 2y - 3
Rearrange:
y + 3 = 2x
2y - 3 = 4x. Cannot be equal to the other equation.
J:
y = 2x - 5
y = 2x - 2. Not equal.
The correct answer is G.
Related Questions
There are 6 red marbles, 4 blue marbles, and 15 green marbles in a jar. If you reach in and randomly draw one, what is the probability that you will choose a red marble?
Answers
Answer:
6+4+15 = 25 and since there are 6 red marbles the answer is 6/25
Answer:
6 out of 25 chance/ 24%
Step-by-step explanation:
15 + 4 = 19 + 6 = 25
6/25 = 0.24 = 24%
Maya and Zack built the tent below in their backyard how much material did they use to build the tent
Answers
Answer:
[tex]Area = 279ft^2[/tex]
Step-by-step explanation:
Given
See attachment for tent
Required
The material needed
This implies that we calculate the surface area of the tent.
This is calculated as:
Area = 2 * Area of Congruent triangles + 2 * Area of Congruent Rectangles + Area of Base Rectangle
So, we have:
[tex]Area = 2 * \frac{1}{2} * 6 * 8 + 2 * 10.5 * 7 + 10.5 * 8[/tex]
[tex]Area = 48 + 147 + 84[/tex]
[tex]Area = 279ft^2[/tex]
You roll a six sided number cube and flip a coin.What is the probability of rolling a number less than 6 and flipping heads?Write fraction in simplest form
Answers
Answer:
5/12
Step-by-step explanation:
Probability to roll a number<6 = 5/6 (each number has probability of 1/6, and there are 5 numbers < 6)
Probability to toss heads = 1/2
Condition "and" = multiplication of probabilities=5/6*1/2=5/12
Solve equation using addition of equality x-2=25 simplify as a integer or fraction
Answers
Answer:
x=27
Step-by-step explanation:
1. x-2=25 so add 2 to both sides x=25+2
2. 25+2= 27 so, the answer is x=27 Can you make me Brainliest
2. Luego de entrevistar a diez de los pasajeros que viajaba en el bus que chocó intempestivamente contra un poste, se concluyó que el chofer era inocente. Identifica la población, la muestra, variable y el tipo de variable.
Answers
Respuesta:
Población = Todos los pasajeros en el autobús
Muestra = los 10 pasajeros entrevistados
Variable = inocencia del conductor; por tanto es una variable cualitativa
Explicación paso a paso:
La población se refiere a todo el conjunto de observaciones que están relacionadas con un evento o experimento en particular. Aquí, todos los pasajeros del vehículo constituyen la población, ya que nuestra investigación se basa en el vehículo.
La muestra es un subconjunto de la población que generalmente se elige al azar de manera que sea representativa de la población.
La variable que pretendemos medir es si el conductor es inocente o no. Por lo tanto, llamamos a esto la variable medida. Debido a que la culpa o la inocencia no es numérica, se considera una variable cualitativa.
What are the zeros of the function f(x) = (2x +6)(x-4)?
A. x=-6 and x= -4
B. x= 3 and x=-4
C. x = 6 and x= -4
D. x= -3 and x = 4
Answers
Answer:
2x+6=0 x-4=0 2x=-6 x=-3 x=4
Answer:
- 3 and 4
Step-by-step explanation:
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
4x+x–2x
Answers
Answer:
2x+x
Step-by-step explanation:
3. Jane and Brittany have been saving up for their summer vacation. After how many days will
they have the same amount of money saves?
Answers
Find the value of x and y. Show your work.
WILL GIVE BRAINLIEST!!!!!
Answers
Step-by-step explanation:
4x = 112
× = 112 ÷ 4
× = 28
Corresponding angles are equal
y = 28
Brooke has finished the first three chapters of a new book. There are 28 pages in the first chapter, 33 pages in the second, and 18 pages in the third. Brooke works out that she has read 79 pages. Does that sound about right?
Answers
Answer: yes. They all add up to 79
Step-by-step explanation:
Answer
28+33+18= 79
Step-by-step explanation:
Estadística: Luego de entrevistar a diez de los pasajeros que viajaba en el bus que chocó intempestivamente contra un poste, se concluyó que el chofer era inocente. Identifica la población, la muestra, variable y el tipo de variable.
Answers
Respuesta:
Población = Todos los pasajeros en el autobús
Muestra = los 10 pasajeros entrevistados
Variable = inocencia del conductor; por tanto es una variable cualitativa
Explicación paso a paso:
La población se refiere a todo el conjunto de observaciones que están relacionadas con un evento o experimento en particular. Aquí, todos los pasajeros del vehículo constituyen la población, ya que nuestra investigación se basa en el vehículo.
La muestra es un subconjunto de la población que generalmente se elige al azar de manera que sea representativa de la población.
La variable que pretendemos medir es si el conductor es inocente o no. Por lo tanto, llamamos a esto la variable medida. Debido a que la culpa o la inocencia no es numérica, se considera una variable cualitativa.
y - 4.6 = 12
Pls help
Answers
Answer:
y = 16.6
Step-by-step explanation:
y - 4.6 = 12
Add 4.6 to each side
y - 4.6+4.6 = 12+4.6
y = 16.6
A car travels 374 miles in five hours and 30 minutes. how many miles does it travel per hour?
Answers
Answer:
the answer is 68 miles
Step-by-step explanation:
you would change 5 hours and 30 minutes to 330 minutes and then you would do 374/330 and 330/330 that would be 1.13333333333 and 1 next you would do 1.13333333333 times 60 and 1 times 60 and it would equal to 68 miles in 60 minutes or 1 hour
PLEASE HELP!
A news story needs to be shared 1,500,000 times in 5 days to get featured on a talk show. The exponential model y=5⋅7x represents the number of shares, y, a news story receives in x days.
About how many days will it take for a news story to reach 1,500,000 shares?
Answers
Answer:
It will take 8.17 days for a news story to reach 1,500,000 shares.
Step-by-step explanation:
Note: The correct exponential model is as follows:
y = 5⋅7^x ......................................... (1)
Where:
y = 1,500,000
x = ?
Substituting y = 1,500,000 into equation (1), we have:
1,500,000 = 5⋅7^x ........................ (2)
Taking the natural log of both sides of equation (2) and solve for x, we have:
ln1,500,000 = xln5.7
x = ln1,500,000 / ln5.7
x = 14.2209756660724 / 1.7404661748405
x = 8.17241379310345
Approximating to 2 decimall places, we have:
x = 8.17
Therefore, it will take 8.17 days for a news story to reach 1,500,000 shares.
Solve for x. The triangles in each pair are similar. Please explain!! I’m so confused
Answers
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Given
[tex]\triangle JDC[/tex] similar to [tex]\triangle JKL[/tex]
Required
Find x
To do this, we make use of the following equivalent ratios
[tex]JK:JL = JD:JC[/tex]
This gives
[tex]98 : 63 = 7x + 7:27[/tex]
Express as fraction
[tex]\frac{98 }{ 63} =\frac{ 7x + 7}{27}[/tex]
Multiply both sides by 27
[tex]27 * \frac{98 }{ 63} =\frac{ 7x + 7}{27} * 27[/tex]
[tex]27 * \frac{98 }{ 63} =7x + 7[/tex]
[tex]3* \frac{98 }{ 7} =7x + 7[/tex]
[tex]3* 14 =7x + 7[/tex]
[tex]42 =7x + 7[/tex]
Collect like terms
[tex]7x = 42 - 7[/tex]
[tex]7x = 35[/tex]
Divide both sides by 7
[tex]x = 5[/tex]
Solve the equation 8 - 12 = 20. S = ?
Answers
Answer:
This is the answer that I got.
s= - 1/5
Step-by-step explanation:
see the steps below:)
What is the measure of the angle
Answers
Answer:
it's 60 degree in my thinking
Step-by-step explanation:
hope this is the answer
Answer:
I think it's somewhere in the 80's or 70's
Step-by-step explanation:
bit you actually need a protractor to figure out the exact measurements
Kelly Slater and Andy Irons are in a surf competition among 10 competitors.
If all surfers are at an equal surfing level, then what is the probability that Kelly will place 1st and Andy will place
2nd? Write your answer as a simplified fraction.
Answers
Answer:
The probability that Kelly will place 1st and Andy will place 2nd is 1/90, or 1.11%.
Step-by-step explanation:
Since Kelly Slater and Andy Irons are in a surf competition among 10 competitors, to determine, if all surfers are at an equal surfing level, then what is the probability that Kelly will place 1st and Andy will place 2nd, the following calculation must be performed:
1/10 x 1/9 = X
0.1 x 0.11 = X
0.01111 = X
1/90 = 0.011111 = X
Therefore, the probability that Kelly will place 1st and Andy will place 2nd is 1/90, or 1.11%.
Rebecca’s service charge at a beauty salon was $93.60, before tax. The sales tax rate was 8%. If she added 20% of the amount before tax as a tip, how much did she pay for the whole service at the salon?
Answers
Answer:
119.77
Step-by-step explanation:
93.60x.08=7.45 tax
93.60 x .20=18.72 tip
93.60+7.45+18.72=119.77
Need help with the answer??
Answers
Answer:
answer is optioc c
Step-by-step explanation:
area of circular pizza=pie*diameter
=1/4*pie*d^2
=3.14/4*100
=314/4
=78.5
area of square pizza=l^2
=9^2
=81
therefore square pizza is bigger in area than circular pizza.
A bag contains four red marbles and eight
blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag.Both marbles are red.
Answers
Answer:
B is most credible for this problem. :-D
Multiply and find the total
Algebra
Answers
Answer:
n - 1
Step-by-step explanation:
(n-1)(n-5) / 2(n+3) ×2(n+3) / (n-5)
Kindly check attached picture for simplification
the cost of 21 articles is equal to selling price of 18 articles. find the profit or loss percent.
Answers
Answer:
If all the items are sold, the profit percentage is 14.28%.
Step-by-step explanation:
Given that the cost of 21 articles is equal to selling price of 18 articles, to find the profit or loss percent the following calculation must be performed:
21 = 100
21 - 18 = X
21 = 100
3 = X
(3 x 100) / 21 = X
300/21 = X
14.28 = X
Therefore, if all the items are sold, the profit percentage is 14.28%.
Which is the equation of the axis of symmetry
Answers
Answer:
Step-by-step explanation:
It would be X=2 because axis of symmetry is the line passing through X=2.
What is the quotient of Two-thirds and StartFraction 2 Over 9 EndFraction?
Answers
Answer:
3.
Step-by-step explanation:
2/3 / 2/9
= 2/3 * 9/2
= 18/6
= 3.
whats the answer. ill make this 20 pts
Answers
Answer:
B
Step-by-step explanation:
[tex] \sqrt[y]{ {x}^{z} } = {x}^{ \frac{z}{y} } \\ [/tex]
ASAP HELP you have $125 dollars in a savings account and you deposit an equal amount into your account each week. After 5 weeks the account holds $170. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.
Answers
Answer:
9
Step-by-step explanation:
Find the equation of the line that
is perpendicular to y = -2x + 1
and contains the point (8, 2).
[?]
y =
x+ [
Answers
Answer:
y=[tex]\frac{1}{2}x-2[/tex]
Step-by-step explanation:
Perpendicular lines have negative reciprocal gradients(slopes) so the slope of your new line would be 1/2. Then you use the point to find the new y-intercept
y=mx+b
2=[tex]\frac{1}{2}[/tex](8)+b
2=4+b
B=-2
y=[tex]\frac{1}{2}x-2[/tex]
A recipe calls for 2/5 cup of chicken broth and 1/6 cup of vegetable broth. What is the total amount of broth need for the recipe?
Answers
Answer:
I may not be correct, depending on what you were taught, but it would be...
17/30
Step-by-step explanation:
(2/5×6/6)+(1/6×5/5)
12/30 + 5/30
17/30
keep in mind you don't add the denominators at all ( the numbers at the bottom half of the fraction)
The perimeter of a rectangle is 73 inches. If the length is 16 inches, write and solve an equation to
find the width.
Answers
Answer:
Step-by-step explanation:
The equation for finding the perimeter of a rectangle is 2Lx2H
So since the length is 16, you multiply that by 2 to get 32.
Then you subtract 32 from 73 which leaves you with 41, then your equation is left as 2H=41, so you divide 41 by 2 which is 20.5, and that is your height
hope this helped!
Answer:
5
Step-by-step explanation:
73/16
16*5=73