Given:
The system of equations is
[tex]3y=\dfrac{3}{2}x+6[/tex]
[tex]\dfrac{1}{2}y-\dfrac{1}{4}x=3[/tex]
To find:
The solution of the given system of equations.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
We have,
[tex]3y=\dfrac{3}{2}x+6[/tex] ...(i)
[tex]\dfrac{1}{2}y-\dfrac{1}{4}x=3[/tex] ...(ii)
Rewritten the given equation in slope intercept forms.
In equation (i), divide both sides by 3.
[tex]y=\dfrac{1}{2}x+2[/tex]
Slope of this line is [tex]\dfrac{1}{2}[/tex] and y-intercept is 2.
In equation (ii), multiply both sides by 2 and isolate y variable.
[tex]y-\dfrac{1}{2}x=6[/tex]
[tex]y=\dfrac{1}{2}x+6[/tex]
Slope of this line is [tex]\dfrac{1}{2}[/tex] and y-intercept is 6.
Since slopes of both lines are same but the y-intercepts are different, therefore, the lines are parallel and the system of equations have no solution.
Therefore, the correct option is c.
(Please answer! You will get brainliest, and over 100+ points..)
If you don't know the answer, I will IGNORE and BLOCK YOU. All my points will come back to me, so back off.
Thank you.
1)
A pile of coins, consisting of dimes and quarters only, is worth 4 dollars and 55 cents. There are 7 more dimes than quarters in this pile. Find the number of quarters and dimes in this pile.
11 quarters and 18 dimes
Hope this helps! :D
Answer:
I just did this in class!
11 quarters and 18 dimes! tell me if you want explanation!
Step-by-step explanation:
Help me answer this question plz
Answer:
a
Step-by-step explanation:
Answer:
The lengths of DF and HI
Step-by-step explanation:
SSS
This means Side Side Side
So to prove this triangle is similar we have to use only true information about the sides.
We can already cross off the second and last answer choices because they are talking about angles.
The first answer choice is about the sides but first we have to determine if its true or not.
Side DF is on the left opposite of angle G
HI is also on the left, opposite of angle I
We can assume those sides are the same but to really know we can check if the other sides match up
We know this constriction has a scale factor of: 1.66666667
If you divide 3.5 by our scale factor you get 2.1
If you divide 5 by our scale factor you get 3
This proves that DG and HJ and FG and IJ would be the matching constricted side
This means that DF and HI would be matching as well making the first answer choice correct.
I hope this helps, don't be afraid to reach out with any further questions! Have a nice day!
I do not understand this Can you please help.
Answer: 1.7 is the answer hope this helps.
Step-by-step explanation:
Answer: Solve using proportions
Step-by-step explanation:solve for x:
1/500=x/828
A. 8a - 2b + 12a - 2a -4b
show how to simplify the expression. Write the answer in factored form
B. Evaluate the expression when a = 4 and b = -2. Show your work
Answer:
(8a+12a-2a)-(2b-4b)
18a-(-2b)
18(4)- -2(-2)
72-4
=68
Step-by-step explanation:
h ttps:/ / pad let. com/du stinnich olson/C arl
"no spaces"
Solve the equation for x:
sin^2 x – 2 cos x - 2 = 0
for the restriction 0 < x < 2pi
Answer: x = pi
sin²x - 2cos x - 2 = 0
⇔ 1 - cos²x - 2cos x - 2 = 0
⇔ cos²x + 2cos x + 1 = 0
⇔ (cos x + 1)² = 0
⇒ cos x + 1 = 0
⇔ cos x = -1
⇒ x = pi + k2pi
because 0 ≤ x < 2pi
=> x = pi
Step-by-step explanation:
Convert 3 over 8 to a percent
Answer:
37.5%
Step-by-step explanation:
(3/8) × 100%
= 37.5%
= 0.375
Two more than three times a number is the same as eight less than twice the number. Find the number
I will mark you brainiest if you can answer this
Answer:
(1 1/2, 6) is the y-intercept and the slope is 4 over 1 1/2 or 4/1.5
Step-by-step explanation:
You get a new haircut that costs $15. You give a tip of 20%. What is the total cost?
Answer:
$18
Step-by-step explanation:
$15 +20%
=$18
Hope i am correct
[tex]15 \times 0.20 = 3[/tex]
[tex]15 + 3 = 18[/tex]
The total cost is $18
Simplify the expression.
- 2.5f + 0.35 - 16 - 6
Answer:
−2.5f−21.65
Step-by-step explanation:
What are all the order pairs for y=-2x+3
(a) Reflect the point (5 3) across the x-axis:
(b) Reflect the point(5 3) across the y-axis:
Answer:
(5, -3)
(-5, 3)
Step-by-step explanation:
Reflecting across the x-axis makes the y coordinate change from a positive to a negative and reflecting across the y axis makes the x value negative.
Correct answer gets BRAINLIEST
f(x)/g(x)
(x2-1)/(x-1)
x cannot equal 1 because this would render the denominator, also known as the divisor, as zero.
x can be greater than 1.
If you would like, we can factor the numerator...
x2-1
(x+1)(x-1)
FIRST...(x)(x)=x2
OUTER...(x)(-1)=-1x=-x
INNER...(1)(x)=1x=x
LAST...(1)(-1)=-1
x2-x+x-1
x2-1
So...
f(x)/g(x)=[(x+1)(x-1)]/(x-1)
(x-1) is in the numerator and denominator. It cancels...
f(x)/g(x)=(x+1)
If a 3 pound apple cost .90 cents, how much will 10 pounds cost
Answer:
the answer is 3
90÷3=30
so
10×3=300
10×3=3.00
value of x in figure shown below
a.22
b.20
c.45
d.80
Answer:
A - 22
Step-by-step explanation:
This is because when you add 90 and 68 you get 158. There are 180 degrees in a triangle so you do 180-158 to get 22.
Math someone help me
Answer:
One bottle of soap will hold 3/8
Step-by-step explanation:
3/4= The amount of soap she has in total
3/4= 6/8 which is the same amount but now we can divide it by 2
.75 (6/8) divided by 2= .375 (3/8)
So each soap dispenser will have 3.75 liters of soap.
Sentences: To check our work
.375x2= .75
3/4 divided by 2= 3.75
80% of 90 is the same as 8/9 of 90. true or false
20% of 90 is the same as 1/5 of 90. true or false
Answer:
Both true
Step-by-step explanation: 80%*90=72. 72/90=8/9.
20%*90=18. 18/90=1/5
80% of 90 is the same as 8/9 of 90 is false.
20% of 90 is the same as 1/5 of 90 is true.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, 80% of 90 is the same as 8/9 of 90.
80% of 90 is,
= (80/100)×90.
= 8×9.
= 72.
And,
(8/9)×90.
= 8×10.
= 80.
So, 80% of 90 and 8/9 of 90 is not the same.
20% of 90 is the same as 1/5 of 90.
(20/100)×90.
= 2×9.
= 18.
And,
(1/5)×90.
= 18.
So, 20% of 90 is the same as 1/5 of 90.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
PLEASE HELP IM ON A TIMER IM CRYING RIGHT NOW!
In a few of sentences, explain what you can infer from the following quote from John Locke, and how did this thinking influence our forefathers?
"Every man has a property in his own person. This nobody has a right to, but himself."
Answer:
its inspireing knowing that we are our own person
Step-by-step explanation:
what is 20+
20+2-27+100
a circle with a 12 inch diameter is folded in half and then folded in on half again. what is the area of the resulting shape
A car travels 160 miles in 4 hours. At this rate, how far will the car travel in 7 hours?( find unit rate,
then multiply by 7)
Answer:
280
Step-by-step explanation:
160 divided by 4 is 40 then times that by 7 and u get 280
Answer:
280 miles
Step-by-step explanation:
First you have to find how many miles a car travels in 1 hour. (160 ÷ 4 = 40).
Then, once you find that, you multiply 40 by 7. (280)
Hope this helps!
Two parallel lines are cut by a transversal as shown below. Suppose <4 = 143 degrees. Find <5 and m <7.
Can you provide a picture?
what’s the equation for
(-1, 2), slope = 3
On a number line, the coordinates of j, k, l, m, n are −10.5, −4, −1, 1.5, 4 respectively. Find the lengths of the two segments. Are they congruent? Jl¯¯¯¯¯¯ and kn ¯¯¯¯¯¯¯
Answer and Step-by-step explanation: A Line Segment is a part of a line with two endpoints and fixed length.
The length of segment JL is
JL = [tex]-1-(-10.5)[/tex]
JL = 9.5 units
And of KN:
KN = [tex]4-(-4)[/tex]
KN = 8 units
The term congruent refers to an object, form or figure that have the same shape and size.
Both segments have the same shape (a line), however not the same size. So, segments JL and KN are not congruent.
-8+ 12x + 7x+12=
HELLLPPP
Answer:
The answer is A
19x + 4
If d divided by 3=10, does d divided by 3+3=10+3?
Answer:
No
Step-by-step explanation:
Which value is greater than 5/8 or 60 %
Answer:
5/8
Step-by-step explanation:
Answer:
5/8 is greater.
Step-by-step explanation:
-1/2 (-6x + 3) plz helpppp
Answer:
-1/2
Step-by-step explanation:
Answer:
6x-3/2
Step-by-step explanation:
-1/2(-6+3)
-1(-6x+3)/2
-1(-6x+3)/2
6x-3/2
and thats how u get your answer.
i hope this helps :)
Congruent Triangles
Answer:
AAS., B in D
Step-by-step explanation:
-2x+y=-8 and 4x-6y=-24 I need help :(
Answer: 2x+y=-8 = x=-1/2y-4
4x-6y=-24 = x =3/2y-6
Step-by-step explanation:
2x+y=-8 -- Step 1: Add -y to both sides.
2x+y+−y=−8+−y
2x=−y−8
Step 2: Divide both sides by 2.
2x/2=-y-8/2
4x-6y=-24 -- Step 1: Add 6y to both sides.
4x−6y+6y=−24+6y
4x=6y−24
Step 2: Divide both sides by 4.
4x/4=6y-24/4
brainliest would be appreciated