Answer:
Yes, they can both be solved and get the same answer.
Step-by-step explanation:
Tyler's way:
Since Tyler solved first by isolating x, resulting in x=-5-3y, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get x=-5-3(1-3x). Use the distributive property to simplify that and you'll get x=-5-3+9x. That simplified is x=-8+9x. Add 8 on both sides and you'll get 8+x=9x. Subtract x from the both sides and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.
Han's way:
Since Han solved first by isolating 3y, resulting in 3y=-5-x, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get 3(1-3x)=-5-x. Use the distributive property to simplify that and you'll get 3-9x=-5-x. Add 9x to both sides and you'll get 3=-5+8x. Add 5 to both sides to isolate 8x and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.
Determine if both first steps can be used to solve the system and will yield the same solution
Both Tyler and Han's first step can be used to solve the system and will yield the same solution
Given:
x + 3y = -5
x + 3y = -5 9x + 3y = 3
Tyler
isolate x in the first equation to get
x = -5 - 3y
substitute into second equation
9x + 3y = 3
9( -5 - 3y) + 3y = 3
-45 - 27y + 3y = 3
- 24y = 3 + 45
-24y = 48
y = 48/-24
y = -2
Recall,
x = -5 - 3y
= -5 - 3(-2)
= -5 + 6
x = 1
Han:
isolate 3y in the first equation to get
3y = - 5 - x
substitute into second equation
9x + 3y = 3
9x + (-5 - x) = 3
9x -5 - x = 3
8x = 3 + 5
8x = 8
x = 1
Recall,
3y = - 5 - x
3y = -5 - (1)
3y = -5 - 1
3y = - 6
y = -2
Therefore, both first steps can be used to solve the system and will yield the same solution.
Read more:
https://brainly.com/question/15165519
Determine if both first steps can be used to solve the system and will yield the same solution
Both Tyler and Han's first step can be used to solve the system and will yield the same solution
Given:
x + 3y = -5
x + 3y = -5 9x + 3y = 3
Tyler
isolate x in the first equation to get
x = -5 - 3y
substitute into second equation
9x + 3y = 3
9( -5 - 3y) + 3y = 3
-45 - 27y + 3y = 3
- 24y = 3 + 45
-24y = 48
y = 48/-24
y = -2
Recall,
x = -5 - 3y
= -5 - 3(-2)
= -5 + 6
x = 1
Han:
isolate 3y in the first equation to get
3y = - 5 - x
substitute into second equation
9x + 3y = 3
9x + (-5 - x) = 3
9x -5 - x = 3
8x = 3 + 5
8x = 8
x = 1
Recall,
3y = - 5 - x
3y = -5 - (1)
3y = -5 - 1
3y = - 6
y = -2
Therefore, both first steps can be used to solve the system and will yield the same solution.
Read more:
https://brainly.com/question/15165519
In an electric circuit, the current varies inversely as the resistance. The current is 40 amps when the resistance is 12 ohms. Find the current when the resistance is 20 ohms.
Answer:
24 amps
Step-by-step explanation:
Current = k /resistance
k = current × resistance
= 40 × 12
= 480
If the resistance is 20 ohms then the current can be calculated as follows
Current = 480/20
= 24 amps
THE DOTS SHOWN REPRESENT WHAT KIND OF SEQUENCE?
D is for difference
R is for ratio
Arithmetic is Adding
Geometrical is Multiplying
What is the average rate of change of f over the interval -7 < or equal to x
Give an exact number
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
The average rate of change can be found by using the following formula
[tex]\frac{f(x_{2}) - f(x_{1}) }{x_{2} - x_{1}}[/tex]
Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.
By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.
Now that we know this, we can simply plug these values into the formula!
[tex]\frac{f(2) - f(-7) }{2 - (-7)} = \frac{5 - (-7)}{2 - (-7)} = \frac{5 +7}{2+7} = \frac{12}{9} = \frac{4}{3}[/tex]
Good luck!
find the midpoint of the segment with the following endpoints. (8,10) and (1,4) ?
A grocery store sells a bag of 3 oranges for $1.71. How much does one orange cost?
Answer: 57 cents each
Answer:
57 cents
Step-by-step explanation:
divide the amount of money by the amount of oranges to find the amount each of them are. so if each of them are 57 then 1 is 57.
Can whoever answers this give a full explanation of what numbers i'm supposed to put (screenshot is there)
Long division is easier than you think. Here's how to solve this problem:
1. See how many times 36 can go into 66.
Multiply until you reach a number that is closest (or exact) to 66.
36 x 1 = 36; 36 x 2 = 72.
72 is over 66, so 2 doesn't work. Therefore, we'd put "1" in the first space on the shelf (right above the 6).
2. Subtract.
Now that we have "1" on the shelf, you need to subtract 36 by 66. We do this because 36 x 1 is 36. If it were the number "2" on the shelf, we'd subtract 72, and so on.
66 - 36 = 30.
3. See how many times 36 can go into 30.
Since it can't go into 30, we bring the 3 down (hence the arrow pointing down). The number is now 303.
4. See how many times 36 can go into 303.
I won't write it all out, but after multiplying 1-7 by 36, we find that the closest solution is 36 x 8 = 288.
We put "8" on the shelf, next to "1".
5. Subtract.
Now that "8" is on the shelf, we subtract 288 by 303, which gives us 15.
Since 36 cannot go into 15, and there are no more numbers we can drag down, your remainder is 15.
Your answer is:
36 R 15
The first two boxes under 663 should be filled with 36, the next three under that should have 303, the next three should have 288, and the final two boxes should have 15.
I hope this helped!
Please help will give brainliest to answer
Answer:
your intire hw is not worth 5 pts but I will say that to find the slope is how many times the line goes up or down and to the right and left until it reaches the next dot
The length of the rope was cut from 30 inches to 24 inches. By what percent was the price of the rope reduced?
Margo is selling boxes of nuts to raise money for her club. She finds that 3 out of every 7 boxes of nuts are cashews. Write a ratio to represent the number of boxes of cashews to the total number of boxes sold.
Answer:
3 : 7
Step-by-step explanation:
make sure the three of on the left
The number of boxes of cashews to the total number of boxes sold is expressed as 3:7 in ratio.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other. The general form of expressing a ratio between two quantities say 'a' and 'b' is a: b
Margo finds that 3 out of every 7 boxes of nuts are cashews.
In order to calculate the ratio of two quantities, we can use the following steps
First, we must determine the quantities for both scenarios for which we are calculating the ratio. In this situation, there are three cashews and seven boxes.
Write it as a fraction, a/b. As a result, we write it as 3/7.
Therefore, the number of boxes of cashews to the total number of boxes sold is expressed as 3:7 in ratio.
Learn more about the Ratio here:
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2. Given f(x) = 2x + 3(x – 3), find x, if f(x) = 11.
please hurry
Answer:
Correct answer:
3
Step-by-step explanation:Using the defined function, f(a) will produce the same result when substituted for x:
f(a) = a2 – 5
Setting this equal to 4, you can solve for a:
a2 – 5 = 4
a2 = 9
a = –3 or 3
find the slope of the line passing through each pair of points. if the slope is undefined, write undefined. (5,9) and (5,-3)
Answer:
i believe undefined
Step-by-step explanation:
Slope
m= −3−9
5−5
-12/0
What is the value ofx in the equation X=-45
O -75
O -27
O 27
O 75
Help me with this Fraction problem please, IT's Simple
Answer:
x=2
Step-by-step explanation:
26 divided by 13 is 2
1
A line has a slope of -2 and a y-intercept of -2.
7
6
6
4
3
1
3-7-6-5-4-3-2-1
1 2 3
6 67
X
-3
4
-
--7-
What is the x-intercept of the line?
Answer:
-1
Step-by-step explanation:
Liliana is renting a beach house for a family vacation. The house charges a $75 cleaning fee plus $95 per night. If Liliana wants to spend a maximum of $645 on the rental, which inequality represents “n,” the number of nights can she afford to rent the beach house?
A.n ≤ 6
B. n ≥ 6
C. n 5
Answer:
A.n ≤ 6
Step-by-step explanation:
A. n ≤ 6
May I have brainliest please? :)
There are 72 female performers in a dance recital. The ratio of men to women is 2:9. How many men are in the dance recital?
Answer:
48
Step-by-step explanation:
72 ÷ 3 = 24
so you know that the men is 24 × 2 = 48
48:72 = 2:3
i looked it up and it says x=4 and theres 12 men but i dont think that helps im so sorry i couldnt find anything:(
Please help me thank you!!!
Answer:
1,-1,-3,3 that is your answer
Which inequality correctly compares Three-fourths, One-seventh, and Five-sixths? One-seventh < Three-fourths < Five-sixths One-seventh < Five-sixths < Three-fourths Three-fourths < Five-sixths < One-seventh Three-fourths < One-seventh < Five-sixths
Answer:
The inequality which correctly compares Three-fourths, One-seventh, and Five-sixths is : One-seventh < Three-fourths < Five-sixths.
The first option is correct.
Step-by-step explanation:
To determine which inequality correctly compares Three-fourths, One-seventh, and Five-sixths, we will arrange them in ascending order.
To do this, first, we will determine the LCM of the fractions denominators..
Three-fourths, One-seventh, and Five-sixths
[tex]\frac{3}{4}, \frac{1}{7}, and \frac{5}{6}[/tex]
The denominators are 4, 7 and 6.
LCM of 4,7 and 6 is 84
Then, we will write the fractions in a form whereby they all have the same denominators.
[tex]\frac{3}{4}, \frac{1}{7}, and \frac{5}{6}[/tex] can be written as
[tex]\frac{63}{84}, \frac{12}{84}, and \frac{70}{84}[/tex]
The resulting order of the numerators gives the order of the fractions.
Now, we will arrange [tex]\frac{63}{84}, \frac{12}{84}, and \frac{70}{84}[/tex] in ascending order. This becomes
[tex]\frac{12}{84}, \frac{63}{84},and \frac{70}{84}[/tex].
∴ The ascending order of the fractions is [tex]\frac{1}{7}, \frac{3}{4},and \frac{5}{6}[/tex].
That is, One-seventh, Three-fourths, and Five-sixths.
Hence, we can write that
One-seventh < Three-fourths < Five-sixths.
This is the inequality which correctly compares Three-fourths, One-seventh, and Five-sixths
Answer:
d
Step-by-step explanation:
17 people over max capacity as an expression is what?
Answer: x + 17
Step-by-step explanation:
if capacity is x, 17 is added to x, hence x + 17
The earth spins 360 degrees about its axis in 24h. How many degrees does it spin in 10h?
if I get another unreasonable answer OHFUSHASHDF
Answer:
150
Step-by-step explanation:
To find out how much it spins in one hour do 360 divided by 24= 15, and you need to find how much it spins in 10 hours so do 15 x 10=150
Answer:
150 degrees.
Step-by-step explanation: Just divide 360 by 24 then times by 10.
x-y=11 2x+ y=19 solve using elimanation
Answer:
the answer is [tex]x=10,\:y=-1[/tex]
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
hope this helps :)
the set of non integers
Step-by-step explanation:
A non negative integer is an integer that that is either positive or zero. It's the union of the natural numbers and the number zero
Solve for theta to the nearest degree
Step-by-step explanation:
So first thing is to determine which trigonometric ratio we use here. Theta is adjacent to 5 and 8 is the hypotenuse, so we should be using Cosine.
So we set up the equation
cos θ = adj/hype
cos θ = 5/8
θ = [tex]cos^{-1} (5/8)[/tex]
θ=51.3178125...
θ=51°
find the slope of the line through each pair of points ( 3, 11) , (3, -10)
Answer:
undefined
Step-by-step explanation:
Since it is a vertical line and there is no run only rise.
same question again. ugh
Answer:
-3
Step-by-step explanation:
the slope is -3 because it goes down 3 y for every 1 forward on x
Answer:
[tex]m=-3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (1, -3)
Point (-1, 3)
Step 2: Find slope m
Substitute: [tex]m=\frac{3+3}{-1-1}[/tex]Add/Subtract: [tex]m=\frac{6}{-2}[/tex]Divide: [tex]m=-3[/tex]What is the y-intercept of the function f(x) = -2/9x + 1/3x?
Answer:
Step-by-step explanation:
PLZ HELP ASAP PLZ AWSER DONT SKIP PLZ ASAP
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!!
Pleas help me on this
Answer:
3x
Step-by-step explanation:
x+x+x
=3x
if i am wrong than sorry
When writing an equation in slope-intercept form, you need the values of the
Answer:
slope, m
y-intercept
Step-by-step explanation:
When writing an equation in slope-intercept form, there will be need for slope and y- intercept.
What is the slope intercept form of an equation ?When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.
Here m is slope and c is constant.
To writing the slope intercept form of the equation,
There will be requirement of slope,
and y intercept, it will be in form of (0, a), here a will be value of y coordinate.
To know more about Slope intercept form :
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