Determine what kind of solution you would expect from the system of equations 3x - 8y = 10 and 16x - 32y = 75 without graphing the system. Explain how you determined your answer.
Step-by-step explanation:
If two lines have the same slope and the same y-intercept, there are infinite solutions.
If two lines have the same slope and different y-intercepts, there are zero solutions.
Otherwise, if the two lines have different slopes, then there is one solution.
The slope of the first line is 3/8. The slope of the second line is 16/32 = 1/2. The slopes are different, so there is only one solution.
The solution of the given system of equations is (x, y) = (8.75, 2).
What is a Linear equation of two variables?These are the system of equations with two variables having a no solution, unique solution or infinitely many solutions.The highest order of the equation for this systems is one.Given: System of equations
3x - 8y = 10 …(1)
16x - 32y = 75 …(2)
Consider equation (2).
⇒ 16x - 32y = 75
Dividing both sides by 16, we get:
⇒ x - 2y = 75/16
⇒ x = 2y + 75/16 …(3)
Now, substitute the value of x = 2y + 75/16 in equation (1), we get:
⇒ 3(2y + 75/16) - 8y = 10
⇒ 6y + 225/16 - 8y = 10
⇒ 2y = 225/16 - 10
⇒ 2y = (225 - 160)/16
⇒ 2y = 65/16
⇒ y = 65/32
⇒ y ≈ 2
Now, put the value of y = 65/32 in equation (3), we get:
⇒ x = 2(65/32) + 75/16
⇒ x = (65/16) + (75/16)
⇒ x = 140/16
⇒ x = 8.75
Therefore, the solution for the given simultaneous equation is;
(x, y) = (8.75, 2)
Learn more about the Linear equations of two variables here: https://brainly.com/question/13052704?referrer=searchResults
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A wheel whose radius is 50 centimeters completes 6 radians in 1 seconds. What is the linear speed of a point on the rim of the wheel? Convert your answer to meters per second (m/s).
Answer:
3m/seconds
Step-by-step explanation:
In this problem we are required to solve for linear speed of the rotating wheel
The linear speed =angular speed x raduis
Given data
Radius r= 50cm
Converting from cm to m
50/100= 0.5m
Angular velocity w= 6rad/s
V=wr
V= 6*0.5m
V=3m/s
The linear speed is 3m/seconds
Answer:
get from (4,1) to (2,9) go up 8 and over 2 left (-2) - (4 - 2, 1 + 8), do this again (2 - 2, 9+8) and end up at (0,17) which is the y how do you change 7x+3y=3 into slope intercept form.
jifejrknt ertjerjktner tjertkre terjtklremt rejtlermter terjtlermterl tretkeml
(HIGH POINTS) help urgently please!!!!
Answer:
its blurry the photo
Step-by-step explanation:
Answer:
67/24
Step-by-step explanation:
Remember PEMDAS
First you solve the parenthesis which is 11/12.
Then do exponents 2^4=16
For division do left to right so 2/3 ÷ 16 = 1/24
and the other division is 11/12 ÷ 1/3 = 11/4
Add the two 1/24 + 11/4 = 67/24
67/24 is the answer
Hope this helps
A boat sailing at a speed of 35 mph set to head due west encounters a wind blowing 15 mph due south. What is the approximate resulting speed of the boat?
Answer:
38.08mph
Step-by-step explanation:
The question tells us that the speed of
Speed of boat = 35mph
Wind blowing = 15mph
We have to use the pythagorean theorem in other to find the resulting speed.
So,
Speed² = 35² + 15²
Such that
Speed = √35² + 15²
Speed = sqr(1225 + 225)
Speed = sqr(1450)
Speed = 38.08
The approximate resulting speed of the boat is therefore 38.08mph
HELP PLZ I WILL GIVE U 10 POINTSS
Answer:
1/40
Step-by-step explanation:
You put 4/1 to put it into a fraction and then flip the fraction to times 1/10 (1/4)
to get the answer of 1/40
Which of the following equations has been vertically stretched by a factor
of 5?
A) Y=|x+5|
B) Y=|x-5|
C) Y=5|x|
What is 4 less than three sevenths of y
Answer:
[tex]\frac{3}{7}y - 4[/tex]
Step-by-step explanation:
Let's start with the part "three sevenths of y". In this statement, "of" means multiply or times. So, let's apply that. It would now be three sevenths times y. Three sevenths times y looks like this: 3/7y"4 less than" means subtraction because less than means subtractions. So our first part is 3/7y. Now let's add less 4 less than: 3/7y - 4.I hope this helps!
Pleaseeee help !! I made this a 50 point question
The angle "b" and the angle "d" are both the same angle measure. In other words, they are opposite angles that share the black dot in the middle. Angle "a" and angle "c" are both opposite angles which make them the same. They can also be called congruent angles. Even if they are facing a different direction, they are the same.
Therefore, the answer is 130 degrees
Best of Luck!
answer:
130 degrees
explanation:
the angles "a" & "c" are opposite (also called congruent) so they are the same.
please answer the problem below
Answer:
d) m<ADC=44°
Step-by-step explanation:
7x-19=9x-37
-19+37=9x-7
18=2x
x=9
m<ADC=9x-37=9(9)-37=81-37=44
Step-by-step explanation:
Your answer would be D) 44°
Help me plz!!!!!!!!!!!!
yes I am so certainly brainly right now
What is that supposed to mean
What is 1.8b + 4.5b?
Solve y = x + 8 for x.
y = x + 8
Subtract 8 from both sides
y - 8 = x
Answer:
x= y-8
Step-by-step explanation:
Hope this helps.
First person to answer gets branliesg f(x)=|x+6|
Answer:
Domain: (-infinity, infinity)
Range: [0,infinity)
Answer:
Domain: Negative infinity less than to x less than inifinity.
Range: [0, infinity)
X-Intercept: (-6, 0)
Y-Intercept: (0, infinity)
Asym: None
Minimum: (-6, 0)
HELP ME PLEASE IM CRYING
Answer:
Yor dying of laughing because of this?
If x = 1 -√2, find the value of ( x -1/x)^3
Answer:
8
Step-by-step explanation:
(x-1/x)³((1-√2)-1/(1-√2))³ 8Which of the following expressions is equal to 1 divided by 16
Answer: 21
Step-by-step explanation:
We are solving for #4
Answer: 3.50p + 5.50p +6 = 51; 61
Answer: 5 people
Step-by-step explanation:
For this word problem, we can use the description in the problem to construct an equation. Let's use x for number of people.
3.5x+5.5x+6=51 [combine like terms]
9x+6=51 [subtract both sides by 6]
9x=45 [divide both sides by 9]
x=5
There were 5 people that went to the fair.
Tom bought 8 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 32 cards left. How many cards did Tom start with ?
Answer:
56
Step-by-step explanation:
Ella works in the produce section at a grocery store. The store receives a shipment of green
and red apples that weighs 20.4 pounds in total. Ella separates the green and red apples into
bins by color. If red apples make up of the shipment by weight, how many pounds of
apples are green?
4
Answer:
74 is the answer please mark me as brainlist and also follow me
which graph represents The solution to
6x-2x5X +7
Answer:
Well where are the options for the graphs?
-3r + 16 >-r- 4r
solve r
show work
Answer:
r = - 8
Step-by-step explanation:
First, put -3r + 16 and -r - 4r equal to each other. -3r + 16 = -r - 4r, then combine the -r -4r to equal -5r so the equation is easier to solve. -3r + 16 = -5r, then add 3r to both sides to get 16 = = -2r and then divide both sides by -2 to get r = -8.
HELP PLEASE! IM STUCK!
Answer:
D
Step-by-step explanation:
square root of 229.7
Answer:
15.155857
Step-by-step explanation:
I used a calculator by typing [tex]\sqrt{229.7}[/tex]
can u help me if u don't mind tbh tho
Answer:
Step-by-step explanation:
1. 13x + 2 = 4x + 38
9x + 2 = 38
9x = 36
x = 4
2. 6(2/3 + q/6 = 5/6q + 1/3)
4 + q = 5q + 2
4 - 4q = 2
-4q = -2
q = 2/4= 1/2
3. 6n + 24 = -18
6n = -42
n = -7
4. -11 + 3b + 15 = 7
3b + 4 = 7
3b = 3
b = 1
5. 5 + 2n + 2 = 2n
2n + 7 = 2n
0 ≠ 7
6. 7 - 3r = r - 8 - 4r
7 -3r = -3r - 8
0 ≠ -15
7. 14v + 6 = 10 + 14v - 4
14v + 6 = 14v + 6
0 = 0
infinitely many solutions
8. 5h - 7 = 5h - 10 + 3
5h - 7 = 5h - 7
0 = 0
infinitely many solutions
9. a. 10x + 10 (triangle)
b. 4x + 2x + 26 = 6x + 26 (rectangle)
10x + 10 = 6x + 26
4x + 10 = 26
4x = 16
x = 4
answer is A
Step-by-step explanation:
The largest artery is the aorta, the main high-pressure pipeline connected to the heart's left ventricle. The aorta branches into a network of smaller arteries that extend throughout the body. The arteries' smaller branches are called arterioles and capillaries.
what is the value of (5.3x10^4)(4.2x10^3)l
Answer:
scientific notation = 2.226 * 10^8
Standard form = 222600000
As it is 22.26 * 10^7
Step-by-step explanation:
(5.3x10^4)(4.2x10^3)
Since all the numbers are being multiplied by each other, one can use the associative property to change the order in which they are multiplied.
5.3 x 10^4 x 4.2 x 10^3
= 5.3 * 4.2 * 10^4 * 10^3
= 22.26 * 10^7
Either convert back to scientific notation, standard form or keep as it is.
scientific notation = 2.226 * 10^8
Standard form = 222600000
As it is 22.26 * 10^7
Segment QR has a midpoint at M(4, 3). Point R is at (2,2). Find the coordinates of point Q.
Answer:
69
Step-by-step explanation:
can yall pls help me im kinda dumb
The answer is D.
Turning fractions into decimals will help you eliminate answers!!
How I got D:
-2 3/4 can be turned into -2.75 by dividing 3/4.
-2 3/4 is the smallest number out of all of them so it has to be first.
-2.67 is the second smallest value.
3/5 is .60 making it the third smallest value.
4 is the second largest value.
17/4 is 4.25, which is the largest.
A is not correct because -3/5 is not the smallest number.
B Is not correct because the largest number is 17/4.
C is not correct because -2.67 is not the smallest number.
In the Caribbean Sea, there are 15 yachts, 32 sailboats, and 8 trawlers. What fraction of the boats are sailboats?
Answer:
32/55
Step-by-step explanation:
You have to get the total number of boats first :
15 + 32 + 8 = 55
out of the 55 boats, 32 are sailboats
the fraction would be :
32/55
Hope this helps :)
Evaluate the expression for p = –4.
3p2 − 18(–2 − p) =
Answer:
12
Step-by-step explanation:
p = -4
3p² - 18(-2 - p)
plug in p
3(-4)² - 18(-2 - (-4))
solve the exponent
3(16) - 18(-2 - (-4))
solve within the parentheses
3(16) - 18(-2 + 4)
3(16) - 18(2)
multiply each expression
48 - 36
subtract
12