Which system of equations is equivalent to the following system?
2x + 4y = 14
4x + y = 20
A.) 2x + 4y = 14
-16x - 4y = -80
B.) 2x + 4y = 14
-4x + y = -20
C.) 4x + 8y = -28
4x + y = 20
D.) 0-2x - 4y = 14
4x + y = 20
Answer:
A
Step-by-step explanation:
Given :
2x + 4y = 14 ---------- eq 1
4x + y = 20 ---------- eq 2
if you multiply eq 2 by -4 on both sides, you get
-4 (4x + y = 20) = -4 (20)
-16x -4y = -80 --------- eq3
we can see that eq. 1 and eq 2 together forms the system of equations presented in option A, Hence A is equvalent to the orginal system of equations given in the question.
The system of equations which is equivalent to the [tex]2x + 4y = 14[/tex],[tex]4x + y = 20[/tex] is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].
What is system of equations?System of equations comprises of two or more equations and seeks common solutions to the equations.
We have,
[tex]2x + 4y = 14[/tex] [tex]........(i)[/tex]
[tex]4x + y = 20[/tex] [tex]........(ii)[/tex]
Now,
To check that which option suits best for system of equation,
Lets multiply equation [tex](ii)[/tex] by [tex](-4)[/tex],
[tex](-4) (4x + y) = (-4)*(20)[/tex]
[tex]-16x-4y=-80[/tex],
So, this above obtained equation is in option [tex](A)[/tex].
Hence, we can say that the system of equations which is equivalent to the [tex]2x + 4y = 14[/tex] ,[tex]4x + y = 20[/tex] is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].
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Can anyone please help me ? It’s due today :(
Answer:
The new coordinates are:
A' (6, 24)B'(12, 12)C'(-12, 6)Please check the attached graph.
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged
If the scale factor is between 0 and 1, it gets shrunk
If the scale factor = 1, the object and the image are congruent
Given the vertices of the triangle in the diagram
A (1, 4)
B(2, 2)
C(-2, 1)
In our case:
Scale Factor K = 6Rule to calculate the dilation by a scale factor 6 centered at the origin
P(x, y) → P'(6x, 6y)
Here, P'(6x, 6y) ) is the image of P(x, y).
It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 6.Thus,
A (1, 4) → A'(6(1), 6(4)) → A'(6, 24)
B(2, 2) → B'(6(2), 6(2)) → B'(12, 12)
C(-2, 1) → C'(6(-2), 6(1)) → C'(-12, 6)
Therefore, the new coordinates are:
A' (6, 24)B'(12, 12)C'(-12, 6)Please check the attached graph.
Isabelle has $5.45 in her purse. If she has five more nickels than dimes, and twice as many quarters than dimes, how many of each type of coin does she have?
Answer:
Nickel = 13
Dimes = 8
Quarters = 16
Step-by-step explanation:
Let N denote Nickel,
Let D denote dime
Let Q denote quarter
Now, from online conversions;
1 nickel = 5 cents
Also, 1 dime = 10 cents
Also, 1 quarter = 25 cents
Isabelle has $5.45 which is also 545 cents.
Thus, we have;
5N + 10D + 25Q = 545 - - - (eq 1)
We are told that;
she has five more nickels than dimes, and twice as many quarters than dimes.
Thus;
N = D + 5
Also, Q = 2D
Plugging them for N and Q in eq 1 givens;
5(D +5) + 10D + 25(2D) = 545
5D + 25 + 10D + 50D = 545
25 + 65D = 545
65D = 545 - 25
65D = 520
D = 520/65
D = 8
Thus; N = D + 5 = 8 + 5 = 13
Q = 2D = 2 × 8 = 16
16+x=-34
Solve the equation for the value of the variable show all work help please:):)
Answer:
x=-50
Step-by-step explanation:
16+x=-34
take away 16 from each side
x=(-34-16)
x=-50
factorise fully 18x+9
Answer: 9 (2x + 1)
Step-by-step explanation: i hope i helped
Aldo is on his way on his car. He has driven 15 so far which is three-fifths of the way home. What is the total length of his drive
Answer:
25 is the total length
Step-by-step explanation:
Distance driven = 15
Which Is 3/5 of the way home
Total length of drive
The unknown = x which is the total length of his drive
From the statement in this question 15 is three-fifth of c
So we have this equation:
(3/5)x = 15
We divide both sides by (5/3) so that x can stand on its own
(3/5)(5/3)x = 15(5/3)
(15/15)x = 75/3
x = 25
The total length of the drive is 25
What is the volume of the rectangular prism?
Help please
Answer:
Step-by-step explanation:
you got this i believe in you!
Marie purchased a $50.00 gift for a baby shower. She uses a coupon that offers 20% off. How much will Marie spend on the gift after the coupon?
Answer:
40
Step-by-step explanation:
so first we need to figure out how many money did she save
50*20% = 10 dollars
so she saved 10 dollars
then 50-10=40
so she paid 40 dollars
The circle shown has a radius of 12 mm. 12 mm What is the circumference of the circle?
A. 6 mm
B. 124 mm
C. 241 mm
D. 367 mm
a n s w e r
Answer:
dude they answer choices that you wrote and the answer choices in the picture aren't the same
Help me please ASAP !!
Answer:
60
Step-by-step explanation:
PLS HELP (IN CLASS)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! WHAT IS THE ANGLE OF C
Answer:
50 :D
Step-by-step explanation:
Answer:
<C = 52*
Step-by-step explanation:
180- 2(65) = 52
Find the value of x in the isosceles triangle shown below.
please help owo
Answer:
10
Step-by-step explanation:
We will first take a right triangle and we will apply the pythagorean theorem to it. First, the base of the right triangle will be 12/2 which is 6; then, we will just use the theorem.
a^2+b^2 = c^2 (pythagorean theorem)
8^2+6^2 = c^2
100 = c^2
c = 10 because the square root of 100 is 10
SOMEONE HELP MEH...
Tonya has 5/9 yards of ribbon and is sharing it with Terri by cutting it in half. How much ribbon will each girl have?
Group of answer choices
1_1/9
5/9
5/18
45
Answer:
I think it's the first or third
Answer:
5/18
Step-by-step explanation:
So the total is 5/9 yard of ribbon, cut it in half means dividing it into 2
5/9 ÷ 2 = 5/9 * 1/2 = 5/18
Solve the system of equations.
7x + 6y = -1
--x + 2y = 3
Answer:
X=-1
Y=1
Solve using Elimination.
Step-by-step explanation:
Multiply the second equation by 7.
The two equations are now:
7x+6y=-1
-7x +14y=21
Combine the two equations
7x and -7x cancel each other out, 14y+6y is 20y, and 21 - 1 is 20.
The equation is now
20y=20, divide 20 on both sides to get Y=1.
Now, substitute 1 as Y in the second equation for -x+2(1)=3
-x+2=3, can be simplified, by subtracting 2 from both sides. Giving us
-x=1.
Divide both sides by -1 for X=-1
Final answers being X=-1, Y=1
Hope this helps! Let me know if you have further questions!
Need help ASAP ILL LOVE U FOREVER
help plsssssssssssssss
Answer:
The golf ball is 2 times as likely to be orange as it is to be pink
Step-by-step explanation:
Anyways, i hope this is right and i hope i helped!
What is the solution to 3 (x + 10) + x = 10 + 2x + 5x + 2?
O 18
6
9
2
2
Answer:
18=3x x=6
Step-by-step explanation:
3x+30+x=
10+2x+5x+2=
3x+18+x=
2x+5x=
18=3x
x=6
What value of the denominator makes the expression undefined?
A.
B. 1
D. 3
0
- undefined means 0.
ALWAYS.
so the answer is 0.
Answer:
answer is 0.
Step-by-step explanation:
I hope it's helpful!
I literally am so cofused
Answer:
48 cups
Step-by-step explanation:
There are 16 cups in 1 gallon. I know this because i divided 64 by 4 to get the amount added. If you subtract 16 from 64, you get 48 cups.
need help with this question
Answer:
option b. SSS theorem
Step-by-step explanation:
..............,
find the value of x in the triangle below
Answer:
x=109
Step-by-step explanation:
The angles inside of a triangle all add up to 180 degrees. So:
23+48+x=180
Simplify Like-Terms:
71+x=180
Subtract 71 from both sides:
x=109
What is the slope of the line?
Answer:
The slope is 1/2
Step-by-step explanation:
I did rise over run
A student scored 120 marks out of 200.
Write her marks scored as a fraction in lowest terms.
The temperature in London is 4 degrees Celsius on Monday. The temperature in Moscow is -12 degrees Celsius. What is the difference in temperature between the two cities?
Mya and ERIC WORK IN A BAKERY . MYA HAS 3 TIMEA AS MUCH FLOUR AS ERIC .MYA HAS 15.81LB OF FLOUR .USE THE EQUATION 3F = 15.81 TO FIND HOW MUCH FLOUR ERIC HAS .
Answer:
5.27 lb
Step-by-step explanation:
Given that,
Mya has 3 times as much floor as Eric. Mya has 15.81 lb of floor. The relation is given by :
Let Eric has F floor.
3F = 15.81 ...(1)
We need to find how much flour Eric has.
Dividing both sides by 15.81.
F = 15.81/3
F = 5.27 lb
Hence, Eric has 5.27 lb of flour.
There is 1 teacher for evėry 18 students on a school trip. How many teachers are there if 72 students go on the school trip? Move values to create a proportion that can be used to solve the problem. Il 18 36 1 6
Answer:
4
Step-by-step explanation:
divide 18 by 72
Which inequality represents the following number line?
+
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
Select one:
a. x < -6
b.X > -6
C.XS-6
d. x > -6
Answer:
b. x > -6
Step-by-step explanation:
> [greater than], and < [less than] inequalities are not filled in because the value is not included, but is only greater or less than.
≥ [greater than or equal to], and ≤ [less than or equal to] inequalities are filled in because the value is included, and it is greater than or less than.
Given that there is an empty circle with an arrow moving in the positive direction from -6, the inequality must be a greater than, and since the value is -6, x > -6.
PLEASE HELP!! PLEASE PUT HOW TO DO IT ASWELL!!
Answer:
4%
Step-by-step explanation:
1. Subtract: 55 - 52.8 = 2.2
2. Divide: 2.2/55 = 0.04
3. Multiply: 0.04 x 100 = 4
The sum of 8 times a number and 7 equals 3.
Answer:
8x + 7 = 3 (x = -0.5)
Step-by-step explanation:
I think this is the equation for what you said
If this is the right equation then x would equal -0.5
(hope this helps)
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
"The sum of 8 times a number (x) and 7 equals 3."
Let, "a number" = x
8x + 7 = 3
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and equals:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction.
First, subtract 7 from both sides of the equation:
8x + 7 (-7) = 3 (-7)
8x = 3 - 7
8x = -4
Next, divide 8 from both sides of the equation:
(8x)/8 = (-4)/8
x = -4/8
x = -1/2
-1/2 is your number, or -0.5
~
Sales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $150?
A. $15.70
B. $10.50
C. $9.77
D. $7.00
Answer:
Step-by-step explanation:
the sales tax will be 150*(7/100)=10.50
choice B