Substitution method
3x - 4y = 18
2x + y = 1
Answers
x = 2
y = -3
Related Questions
There is a triangle and the first side is 3m , The second side is 4 - m , and the third side is 2m - 1. What expression would represent the perimeter of the triangle?
Answers
perimeter = 4m + 3
the perimeter is the sum of the 3 sides of the triangle, thus
perimeter = 3m + 4 - m + 2m - 1 = 4m + 3
Answer: 4m + 3
Step-by-step explanation:
This is because the perimeter of a triangle is the same as adding all of its sides.
3m+(4-m)+(2m-1)
Group like terms:
(3m-m+2m) + (4-1)
Then combine like terms to get your final answer of:
4m + 3
27x$42 answer to the problem
Answers
27•42= 1134
27 x $42 = $1,134
Hope this helps you
-AaronWiseIsBae
which number is equivalent to 0.3
1/3
33/100
5/6
2/3
Help plz asap!!!
Answers
None of them are equivalent to 0.3, unless it's 0.3 with a bar over the 3, in which case the answer is 1/3.
Solution:
Convert all the numbers to decimal form;
1/3 = 0.3 (where 3 is recurring)
33/100 = 0.33
5/6 = 0.83 (where 3 is recurring)
2/3 = 0.6 (where 6 is recurring)
The correct choice is 1/3 since its the only choice that don't give a limitation on rounding up the decimal value to 1 decimal place.
Is-54/9 an rational number?
Answers
Suppose you have 2 1/2 apples. If a student serving consists of 3/4 of an apple, how many students servings( including parts of a serving ) can you make?
Answers
Riding with the wind at her back, a cyclist takes an hour less time to cover 80 miles than without any wind. Riding with the wind increases the cyclist's speed by 2 miles per hour. What is her speed when riding with the wind?
Answers
Answer:
41 MPH
Step-by-step explanation:
Let's assume the original speed with or without, is around 82 miles, within 2 hours.
So in this case, it'd be half the miles, half the hours!
the length of a rectangle is 3 times the width. the area is 27 square centimeters. What is the length?
Answers
Hello.
The answer is: 24
length=3*width, this can be written as 3w
area=27 sq cm
Formula for the area of a rectangle=27 (area)= 3w (length) * w (width)
27=3w^2
then divide both sides by 3: 9=w^2
take the square root of both sides to get: w=3
Now that we know what the width is, we can substitute that and find the length: 3w= 3*3=24
have a nice day
Which expression is equivalent to m-n?
Answers
Answer:
D
Step-by-step explanation:
The equivalent expression of the expression m - n will be m + (-n). Then the correct option is D.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ m - n
The equivalent expression of the expression m - n will be written as,
⇒ m - n
⇒ m + (-n)
The equivalent expression of the expression m - n will be m + (-n). Then the correct option is D.
More about the equivalent link is given below.
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A gym hold a 60 minute time exercise class on Saturday a several 45 minute classes during. The week last week all of the classes lasted a total of 285 minutes. Write an equation you can use to find the number of the weekday classes
Answers
285=45x+60 because 285 stands alone and its you total. 45x is the its there with the variable x because the it says several
HELP HAVING ALOT OF TROUBLE!!
Answers
Hello!
To solve this problem we first need to find the value of each given item.
12^4 is equal to 12·12·12·12, or 20,736
12·12·12·12·12 is equal to 12^5, or 248,832
With this information being provided, it can be said that 12^4 < 12x12x12x12x12
Hope this helps.
20,21,22,23 are the ones I need help on if you can help I’ll mark you as super smart !!!
Answers
Answer:
20) 10x - 10 = 120
10x = 130
x = 13
21) 6x + 10 + 8x + 2 = 180
14x + 12 = 180
14x = 168
x = 12
22) 5x + 5x + 6 + 94 = 180
10x + 100 = 180
10x = 80
x = 8
23) 2x + 3 + 4x + 1 = 124
6x + 4 = 124
6x = 120
x = 20
sea level is defined as an altitude of 0 ft. A scuba diver dives into the water and, in 3 min, her altitude drops from 0 ft to −126 ft.
What was the diver’s average change in altitude, per minute, for that time period?
A. −348 ft
B. −42 ft
C. 42 ft
D. 348 ft
Answers
why?
-126/3 = -42
Hope this helped!
Starting at sea level, a submarine descended at a constant rate to a depth of −56 mile relative to sea level in 4 minutes.
What was the submarine's depth relative to sea level after the first minute?
Enter your answer in the box as a fraction in simplest form.
Answers
-56mi in 4 minutes is (56mi/4) in 1 minutes = 14mi/minute.
Therefore, the submarine was 14 miles below sea level after 1 minute.
Answer:
The submarine's depth relative to sea level after the first minute is -14 miles.
Step-by-step explanation:
Consider the provided information.
Starting at sea level, a submarine descended at a constant rate to a depth of −56 mile relative to sea level in 4 minutes.
This can be written as:
[tex]-56\ miles=4\ minutes[/tex]
To find the submarine's depth relative to sea level after the first minute, divide both the sides by 4.
[tex]\frac{-56}{4}\ miles=\frac{4}{4}\ minutes[/tex]
[tex]-14\ miles=1\ minutes[/tex]
Hence, the submarine's depth relative to sea level after the first minute is -14 miles.
What is 12.2x+50.6y+3(1.4x-2.6y) simplified?
Answers
16.4x + 42.8y
Hope this helps & good luck. :)
Factor the following completely.
r^2 - 14r -50
Answers
He gets $200 for showing up and gets paid $15 an hour write a linear equation to represent his earnings
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Let H = number of hours worked.
He gets $15 for every hour worked, so you need to multiply 15 by h which is written as 15h
You then need to add that to the $200 he gets for showing up.
Total pay = 15h + 200
h=numbers of hours worked.
t=Total
He gets 200 just by showing up so u add that to the 15 dollars he gets per hour.
You × the 15 by h to get the total for working those hours
Hopefully this help!
given that g(x)=x^2-3x-6, find (gog)(-3)
Answers
(gog)(-3) basically means g(g(-3)).
g(-3) = (-3)^2 - 3(-3) - 6
g(-3) = 12
g(12) = 102
So the answer is 102.
Solve for x. 8.2x−6.2−7.2x=14 Enter your answer, as a decimal, in the box. x =
Answers
Answer is: Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 20.2
if kyle is from texas then he is a football fan. Kyle is from texas. Is there a valid conclusion? if yes, what is it?
Answers
The logic of a conditional statement ('if-then') is followed here. Given 'If Kyle is from Texas, then he is a football fan' and 'Kyle is from Texas', we can validly conclude 'Kyle is a football fan'.
Explanation:The statement 'if Kyle is from Texas then he is a football fan' is known as a conditional statement in logic. Conditional statements have an 'if' part (the hypothesis) and a 'then' part (the conclusion). In this case, the hypothesis is 'Kyle is from Texas' and the conclusion is 'he is a football fan'. The statement 'Kyle is from Texas' confirms the hypothesis. Therefore, following the logic of the conditional statement, we can conclude that 'Kyle is a football fan'. This conclusion is based on the given condition, in real life, of course, being from Texas doesn't automatically make someone a football fan, but within the confines of this logic, it does.
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A restaurant sells 330 sandwiches each day. For each $0.25 decrease in price, the restaurant sells about 15 more sandwiches. How much should the restaurant charge to maximize daily revenue? What is the maximum daily revenue? Each sandwich is 6$ beforehand...
Answers
Answer:
The value that optimizes this inequality is x = 1, since it represents the vertex of the parabola. Therefore, $ 0.25 is the price that must be discounted to maximize revenues
With x = 1 the value of the new income will be = $ 1983.75
Step-by-step explanation:
Revenue with the current sale price is:
6 * 330 = $ 1980
Let's call x the number of times the price of a sandwich decreases, that is, if x = 1 then the price of the sandwich decreases by $ 0.25
Then, the price would be:
Price = (6-0.25x)
Then, if the price is decreased by a factor of x, then the number of sandwiches sold will increase by a factor of 15x. Therefore the number of clients will be:
Sale = (330 + 15x)
Now we need an equation for income. The income will be equal to the sale price, for the number of sandwiches sold
Income = price * sale
Income = (6-0.25x) (330 + 15x)
In order for this restaurant pricing model to be profitable, the revenues with the new sale price must be greater than the revenues with the sale price of $ 6. So:
New income> current income.
[tex](6-0.25x) * (330 + 15x)> 330 * 6\\ (6-0.25x) * (330 + 15x)> 1980[/tex]
The left side of the inequality represents a parabola:
[tex]-3,750x ^ 2 + 7.5x + 1980> 1980[/tex]
The value that optimizes this inequality is x = 1, since it represents the vertex of the parabola. Therefore, $ 0.25 is the price that must be discounted to maximize revenues
The attached image shows the region that satisfies the proposed inequality and the vertex of the parabola:
[tex]x = \frac{-b}{2a}[/tex]
With x = 1 the value of the new income will be = $ 1983.75
I need help with 40a
Answers
Hi, here is the solution...
The Fibonacci series 1, 1, 2, 3, 5, 8, 13, 21, 34...
3rd number = Sum of the first two numbers.
2 = 1 + 1
4th number = Sum of the two numbers before it
That is, 3 = 2 + 1
5th number is 5.
5 = 3 + 2 (Sum of the two numbers before 5).
6th number is 8
8 = 5 + 3
7th number is 13
13 = 8 + 5
8th number is 21
21 = 13 + 8
Therefore, the conjecture is " Each number in the series is The Sum of Two Numbers Before it."
Hope you understand the concept.
Thank you :)
what is the word for a rational number whose cube root is a whole number
Answers
How does buying items in bulk usually help a consumer?
A.
The consumer gets better quality.
B.
The consumer pays less per item.
C.
There are fewer items to store.
Answers
B) The consumer pays less per item.
If a bag of chips cost .15, but if 20 bags cost $2, you are saving $1.
Hope I helped!
Good Luck!
Answer:
B.) The consumer pays less per item
Step-by-step explanation:
If you buy items in bulk, you will pay a higher total price but a lower price per item. For instance, buying a package of four rolls of paper towels will usually be cheaper than buying one roll four times.
given the replacement set {0,1,2,3,4} solve 4x - 5 = 11
Answers
4x = 11 + 5 = 16
4x = 16
Divide by 4 from both sides
X = 4
Share 35$ in the ratio 4:1
Answers
35/5= 7
so,
4*7 = 28 1*7= 7
The answer is 28:7
To share $35 in the ratio 4:1, Person 1 will receive $28 and Person 2 will receive $7.
Explanation:To share $35 in the ratio 4:1, we first need to find the total number of parts in the ratio by adding the two numbers together: 4 + 1 = 5. Next, we divide the total amount of money ($35) by the total number of parts (5) to find the value of each part: $35 / 5 = $7. Now, we can multiply the value of each part by the corresponding ratio values to find the amount of money each person will receive:
Person 1 (4 parts): 4 * $7 = $28Person 2 (1 part): 1 * $7 = $7Therefore, in the ratio 4:1, Person 1 will receive $28 and Person 2 will receive $7.
write an equation that represents this comparison sentence. 32 is 8 times as many as 4
Answers
32=8*4 This is how the equation would be written. Hope I helped :)
The equation that represents this comparison sentence 32 is 8 times as many as 4 is [tex]32 = (8 \times 4)[/tex]
Times also means multiplication
8 times as many as 4 is expressed as [tex](8\times 4)[/tex]
If 32 is 8 times as many as 4, this is expressed as
Hence the equation that represents this comparison sentence 32 is 8 times as many as 4 is [tex]32 = (8 \times 4)[/tex]
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A parks and recreation department is constructing a new bike path. The path will be parallel to the railroad tracks shown and pass through the parking area at the point (4,5). Write an equation that represents the path
Answers
Answer:
dont listen to answer above me, its supposed to be in slope intercept form, so it is y=4/3x-1/3
and so we have (4,5)
substitute it in and you will have
y=4/3x+b
5=4/3(4)-b
which is
5=16/3-b
b is equal to 1/3
so thats the y int
so the equation will be
y=4/3x-1/3
Step-by-step explanation:
see above
The equation of the proposed bike path would take a similar form to the railroad track (y = mx + c) but adjusted to pass through the point (4,5). Without knowing the slope or y-intercept of the original line (railroad tracks), we cannot provide a specific equation for the bike path.
Explanation:This Mathematical question pertains to the concept of linear equations in coordinate geometry. The problem involves finding the equation of a line that is parallel to the given railroad tracks and denoted as a two-dimensional path. We don't have information on the slope or y-intercept of the railroad tracks in the question, so for the time being, let's assume that the equation of the railroad track line is y = mx + c where m is slope and c is y-intercept.
Any line parallel to y = mx + c will have the same slope 'm'. The given point (4,5) on the new bike path. Hence the equation of the new bike path will be y - 5 = m*(x - 4). We are unable to provide a specific equation without more details about the railroad tracks line.
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Which statement is true about the end behavior of the graphed function? The graph and choices are attached.
Answers
The correct answer is A) as the x values go to positive infinity, then the graph goes to negative infinity.
We can tell this by looking at the graph values as x goes up. You'll notice, as we get higher and higher, the graph disappears down. This means it is heading towards negative infinity for the rest of the graph.
The statement which is true about the end behavior of the graphed function is:
As the x-value goes to positive infinity , the function's value go to minus infinity. Step-by-step explanation:We know that the end behavior of the function is the value where it approaches when x tends to plus infinity and minus infinity.
From the graph of the function we see that the graph first decreases continuously and then it increases and again it decreases to minus infinity.
Also,
when x → -∞ we see that f(x) → ∞
and when x → ∞ then f(x) → -∞
As the function has opposite behavior in both the directions this means that the function is odd.
At x=0 the value of function is: -2
you are getting ready for a family vacation. You decide to download as many movies as possible before leaving for the road trip. If each movie takes 1 2/5 hours to download, and you downloaded for 5 1/4, how many movies did you download. EXPLAIN PLEASE I NEED HELP!!!!!
Answers
If all movies took the same time to download (unlikely), you could download (5 1/4) / (1 2/5) movies
= (21/4) / (7/5) = (21/4)*(5/7) = 15/4 = 3 3/4 movies.
If it takes 1 2 5 hours to download 1 movie, then in 5 1 4 hours, you will download 4 movies.
Solve: 3(1-2x) > 3-6x
Answers
3(1 - 2x) > 3 - 6x use distributive property
(3)(1) + (3)(-2x) > 3 - 6x
3 - 6x > 3 - 6x add 6x to both sides
3 > 3 FALSE
Answer: NO SOLUTION