Answer:
Step-by-step explanation:
y+2/3 x=4
multiply by 3
3y+2x=12
or 2x=12-3y
so both represent the same equation of a line .
there are infinite points on the line.
infinite solutions.
The number of solution the system of equations have infinitely many solutions.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The system of equations are y+2/3 x=4--------(I) and 2x=12-3y --------(II).
Here, a₁=2/3, b₁=1 and c₁=-4
a₂=2, b₂=3 and c₂=-12
Now,
a₁/a₂=b₁/b₂=c₁/c₂
2/6 =1/3=-4/-12
1/3=1/3=1/3
Infinitely many solutions
Therefore, the number of solution the system of equations have infinitely many solutions.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
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Write the formula for the following sequence.
5.8, 3.6, 1.4,...
PLEASE SHOW YOUR WORK.
[tex]tn = t(n - 1)- 2.2[/tex]
common difference is
3.6 - 5.8 = -2.2
let T1 = 5.8
T2 = 3.6
assuming we are to find T2
T2 = T(2-1) -2.2
= T1 -22
= 5.8 -2.2
= 3.6
pls do it fast
in the given figure AB=10.2cm, AC=14cm, AD=DC and AD perpendicular to BC. calculate area of triangle ABC.
Answer:
solution :
in the given figure AB=10.2cm, AC=14cm, AD=DC and AD perpendicular to BC.
now ,
in rt angle tirangle ADC,
angleACD=45 degree, angle DAC=45 degree now,
in triangle ABD,
angle BAD+angleABD+angleADB=180 DEGREE (sum of the sngle of triangle)
angle BAD+75+30=180
angle BAD=180-165 therefore,angle BAD=15
angle BAC =15+45=60
Area of triangle ABC=1/2×AB×AC×SIN 60
=1/2×10.2×14×√3/2
=61.83cm³ ans
Simplify this expression 5x-3(x-2)-x
Answer:
x+6
Step-by-step explanation:
5x-3(x-2)-x
5x-3x+6-x
combine like terms
x+6
9.How much interest do you earn when you deposit $100 at 25% for 2 years?
10.In question #9, how much does the bank owe you at the end of those two years?
Answer:
For simple interest: $50, for compound interest: $56.25
Step-by-step explanation:
Year 1) 100+100(.25) = 125
Year 2) 125+125(.25) = 125+31.25 = $156.25
156.25 - 100 = $56.25
25 x 2
=50
In the last month, the ratio between Davis's monthly expenditure and his monthly salary was 3 : 7. What percentage of his monthly income did he save last month?
Answer: 57%
Step-by-step explanation:
Davis's monthly expenditure and his monthly salary was 3 : 7.
This means that for every $7 he received, he spent $3 out of it.
The amount he saved is therefore:
= 7 - 3
= $4
For every $7 received, he saved $4.
Percent = 4/7
= 57%
(HURRY I’LL GIVE YOU THE BRAINIEST IF YOU GET IT RIGHT) What is 3 3/4 x 2 1/2 in fractions?
Answer:
9 3/8
Step-by-step explanation:
or 75/8
Answer:
I think its 15/4
Step-by-step explanation:
:)
what equation of a line passes through the points (0,8) and (6,4)
Answer:
y=-3/2x+6
Step-by-step explanation:
You will need to find the equation of the line in slope-intercept form y=mx+b.
First, find the slope m using slope formula m = (y_2-y_1)/(x_2-x_1) which is m=(6-(-6))/(0-8)=-12/8=-3/2
Now that you found the slope, your equation intercept form looks like y=-3/2 x+b.
Both points (8, -6) and (0.6) belong to this line, therefore both points coordinates satisfy line above which means: 6=-3/2(0)+b (i used second point here)
Solving for b we will get y intercept which is b=6
Finally, the line that passes through points (8,-6) and (0,6) has equation: y=-3/2 x + 6
1. Johnny typically drives his truck between 250 and 300 miles a day for work. Last week he worked 5 days and drove a total of 1300 miles. Is this reasonable?
Answer:
1350
Step-by-step explanation:
Write the word sentence as an equation. Then solve.
The difference between a number p
and 6
is −14
.
Answer:
Equation- p-6= -14
Answer- p=-8
Step-by-step explanation:
F is inversely proportional to d 2 . When F = 3 , d = 4 Work out F when d = 2
Answer:
F = 6
Step-by-step explanation:
find the constant of variation (k) first by using this formula:
f = k/d
plug in given info to find k: 3 = k/4 so k = 12
use 12 to find F: F = 12/2
How long would it take to travel 30 miles at an average speed of 50 miles per hour
Answer:
1.6 hours so 96 minutes
Step-by-step explanation:
A ______ always has a numerator of 1
A. fraction
B.Simplest form
C. unit fraction
(answer asap) please and ty!
Answer:
C. Unit Fractions
Step-b
y = 5x - 6
slope
y-intercept
Answer:
slope:5
y intercept: -6
Step-by-step explanation:
0.42, 0.84, 1.26, 1.68, ............
Find the 63rd term
a
26.28
b
27.3
c
26.46
d
24.64
Answer:
Step-by-step explanation:
Find the nth term so the sequence is going up by 0.42
0.42*63=26.46
63rd term=26.46
Factor: 2m + 19 + 6m - 7
Answer:
4(2m+3)
Step-by-step explanation:
2m + 19 + 6m - 7=8m+12=4(2m+3)
Help would be great! All I need to know is which one doesn’t belong you don’t need to write why it’s doesn’t belong.
Answer:
There are two correct answers for this question depending on how you think of it.
3x or -3
Step-by-step explanation:
3x could be right because the rest of them are negative. But also on the other case -3 because the rest have x's and this one doesn't
Hope this helps :)
If im too late im so sorry...
Have a nice day!
Será buys 1.20 pounds of skittles 3½ pounds of m&m's and 5.2 pounds of pretzels if the candy cost $1.20 a pound and the pretzels cost $1.10 a pound how much did será spend?
Answer:
3:00
Step-by-step explanation:
Simplify −0.6(−6.3).
Answer:
3.78
Step-by-step explanation:
Answer:
3.78
Step-by-step explanation:
I REALLY need help with this question please.
================================================
Work Shown:
Plug in t = 2 and we get the following
[tex]a = 500*\left(\frac{3}{4}\right)^{t}\\\\a = 500*\left(\frac{3}{4}\right)^{2}\\\\a = 500*\left(0.75\right)^{2}\\\\a = 500*0.5625\\\\a = 281.25\\\\[/tex]
The answer is choice D. There are 281.25 mg of aspirin in the bloodstream after 2 hours.
-----------------
Side notes:
The 500 represents the initial amount of aspirin (in mg) in the bloodstream. This is the amount when t = 0.The 3/4 converts to 0.75; when solving 1+r = 0.75, we get r = -0.25, and this shows a 25% reduction in aspirin each time t goes up by 1. Every hour, the amount of aspirin in the bloodstream reduces by 25%Answer:
375
Step-by-step explanation:
because if you look at the question 3\4 is 1 hour with the aspren 500 after 2 hours you 2 the ammount i think
Find the equation of the line.
To find the equation of the line, we need to figure out the slope and y-intercept.
To find the y-intercept, look at the number where the line intersects the y-axis. The number is 5. The equation so far is y = ?x + 5.
We still didn't figure out the slope yet. To figure out the slope, pick two points. Use the rise over run method. It is in the image below. The line is going up to the left, so the slope will be negative. Now we know the slope is -1/3. The equation now that we figured out the slope is y = -1/3x + 5.
I hope this helps you! Let me know if I got something wrong.
The equation of the line that goes through (-3,5) and (2,-4)
Answer:
y=-9/5x-2/5
Step-by-step explanation:
Answer:
y=-9/5x-2/5
Step-by-step explanation:
Slope=m=Rise/Run=(y2-y1)/(x2-x1)=(-4-5)/(2-(-3))=(-9)/(5)=-9/5
So the equation becomes y=-9/5x+b
Plug in one of the given points:
y=-9/5x+b
-4=-9/5(2)+b
-4=-18/5+b
-0.4=b
b=-0.4
Therefore the equation of the line is y=-9/5x-2/5
answer pls!! A 12 inch vertical post casts a 24 inch shadow at the same time a nearby flower casts a 49 inch shadow.
How tall is the flower?
94 divided by 4552
Show ur work
Answer:
0.02065026362
Step-by-step explanation:
What is (-8) x (-2/3)
Answer:
16/3 or 5.3 recurring
Step-by-step explanation:
-8 times -2/3 is 16/3, and 16/3 is 5.3 recurring
A DVD has a diameter of 18 centimeters. What is the area of the DVD? Round your answer to the nearest hundredth. Use 3.14 for π.
Answer:
. SAME THING YOU PUT FOR MY ANSWER IM GONNA DO THE SAME FOR YOU
Step-by-step explanation:
Help its urgent!!!!!!!!!!
Answer:A>
Step-by-step explanation:
Find the missing number so that the equation has infinitely many solutions
-3x + _= -5x + 20 + 2x
Answer:
20
Step-by-step explanation:
-3x+20=-5x+20+2x
reduced:
-3x+20=-3x+20
subtract 20 from each side
Then
-3x=-3x
find the perimeter of the new shape
The product of 6g2 and -2g3 is equals to
Answer:
We conclude that:
[tex]\left(6g^2\:\right)\times \left(-2g^3\right)=-12g^5[/tex]
Step-by-step explanation:
Given
6g²-2g³The product of 6g² and -2g³ can be determined by multiplying each other such as:
[tex](6g^2\:)\times \:(-2g^3)[/tex]
Apply the rule: a(-b) = -ab
[tex]\left(6g^2\:\right)\times \left(-2g^3\right)=-6g^2\times \:\:2g^3[/tex]
Apply exponent rule: [tex]a^b\times \:a^c=a^{b+c}[/tex]
[tex]=-6g^{2+3}\times \:2[/tex]
[tex]=-6g^5\times \:2[/tex]
[tex]=-12g^5[/tex]
Therefore, we conclude that:
[tex]\left(6g^2\:\right)\times \left(-2g^3\right)=-12g^5[/tex]
Jane has 1 quarter, 3 dimes, and 4 nickels. What percent of dollar does Jane have?
i know the answer is 44% but can someone please explain how i got 44%??
Answer:
ok so I'm English not a hundred percent sure on your break down of money......so if I'm right in thinking that a nickel = 5 cents, dime = 10cents and a quarter =25cents
you add the amounts together
so 25 + 30 +20 = 75 cents.
there are 100 cents in a dollar so 100/100 X 75=75%
I have no idea how you got to 44%