Answer:
Step-by-step explanation:
This one is simple substitution... at least, substitution is the easiest method. The first equation is 3x – 30 = y and the second is 7y – 6 = 3x
As I look, I see 3 ways to use substitution to solve this:
substitute 7y – 6 for 3xsubstitute 3x – 30 for ysolve 3x – 30 = y for 3x and make it equal to 7y – 6We're going to only use 1 method for the sake of time. Try the other two on your own. Assuming you don't make any mistakes, they will work.
Method 1:
3x – 30 = y
7y – 6 = 3x — initial system of equations
7y – 6 – 30 = y — substitute 7y – 6 for 3x
7y – 6 – 30 = y — marking like terms, bold for constants, underlined for variables
7y – 36 = y — combining the constants and simplifying
Here, you could diverge into multiple paths: add 36 to both sides, subtract y from both sides, divide by 6 OR subtract 7y from both sides and divide by –6 . For the sake of time, I'm subtracting 7y, though I don't like dealing with negatives.
7y – 7y – 36 = y – 7y — subtract 7y from both sides
–36 = –6y — simplify
–36 ÷ –6 = –6y ÷ –6 — divide by –6 on both sides
y = 6 — simplify
Again, we can diverge here: substitute y into 3x – 30 = y or substitute y into 7y – 6 = 3x
I'm going to choose 3x – 30 = y but it will work either way, should you take the time (if you have it) to chase down every path this problem can take.
3x – 30 = y — initial equation
3x – 30 = 6 — substitute 6 for y
3x – 30 + 30 = 6 + 30 — add 30 to both sides to isolate 3x
3x = 36 — simplify the expression
3x ÷ 3 = 36 ÷ 3 — divide both sides by 3 to isolate x
x = 12 — simplify
So, we have x = 12 and y = 6 . We know they work for 3x – 30 = y but not if they work for 7y – 6 = 3x . Let's substitute those in to see if (12, 6) really is the solution point.
7y – 6 = 3x — original equation
7(6) – 6 ≟ 3(12) — substitute 6 for y and 12 for x
42 – 6 ≟ 36 — simplify by multiplying
36 = 36 ✔ — simplify by combining like terms on left side
Success! It works! We have found our solution!
I hope this helps increase your understanding of the concept. Have a great day!
The domain of y = cot x is all real numbers such that _______.
Answer:
Step-by-step explanation:
x≠ n*π, where n is an integer
because x/π can not be an integer
Whoever fills the rest out I’ll love you forever!
Answer:i need to know what the image is.....
Step-by-step explanation:
Simplify 2.19g + 0.59b + 1.49p
Answer: it can't be simplified,,, the variables are all different
Step-by-step explanation:
Which measure is of an angle that is coterminal with a 95° angle?
Answer:
95° - (1,080 n) °, for any integer n
Step-by-step explanation:
Co-terminal angle are those angles who share the same initial side and terminal sides,
And, these angles are obtained by adding or subtracting the multiple of 360°,
That is, if Ф is an angle,
Then its co-terminal angles are,
Ф + 360 n
Where, n is any integer (negative or positive)
Here, Ф = 95°,
Since, n is an integer,
⇒ - 3n is an integer,
Thus, the co-terminal angles of 95° are,
95° + 360° (-3n)
= 95° - (1080 n) °; for any integer n.
Step-by-step explanation:
Hope this helps!~
And I hope this is what you where looking for.
Good Luck!~
Answer:
B. 95° – (1,080n)°, for any integer n
Step-by-step explanation:
Correct on EDGE 2021!
Which point best indicates the location of V45on the number line below?
A.Point A
B.Point B
C.Point C
D. Point D
Which equation shows how to rewrite the sum of 30 and 45 using their greatest common factor? 30 + 45 = 5(6 + 9) 30 + 45 = 15(2 + 3) 30 + 45 = 5(6) + 15(3) 30 + 45 = 5(6)(3)
Answer: 30 + 45 = 15(2 + 3)
Step-by-step explanation:
The greatest common factor for 30 and 45 will be gotten as follows:
Factor of 30 = 2 × 3 × 5
Factor of 45 = 3 × 3 × 5.
GCF = 3× 5 = 15
Therefore, the equation that shows how to rewrite the sum of 30 and 45 using their greatest common factor will be:
30 + 45 = 15(2 + 3)
Evaluate 35/a when a=7. The value is
Answer:
a = 5
Step-by-step explanation:
a = 7
35/a
35/(7)
= 5
Hope this helped
8.35 < 3x +18.75
Pls help
Step-by-step explanation:
8.35 < 3x + 18.75
3x + 18.75 > 8.35
3x > 8.35 - 18.75
3x > -10.4
x > -3.47
I urgently need help!!!!
Answer:
A. C (3,5)
Step-by-step explanation:
This makes the most sense because of the position point C is at on the coordinate plane. It is above point D, which has a x-axis of 3. Option A is the only one that has an x-axis of 3.
Hope it helps!
PLEASE HELP QUICKLY!!!
Answer:
sunday
Step-by-step explanation:
i dont want brainliest give it to the other guy
Can y’all plz help me
Explain yo answer for brainliest
Answer:
A
Step-by-step explanation:
Answer:
C)
Step-by-step explanation:
The pythagorean theorem says that a^2 + b^2 = c^2
In this case:
a^2 = x
b^2 = y
c^2 = z
That means x + y = z, which is C
Se tienen 240 cajas con 25 bolsas cada una . Si cada bolsa pesa 0.69 kg. Cual es el peso del cafe?
Answer:
Step-by-step explanation:
There are 240 boxes with 25 bags each. If each bag weighs 0.69 kg. What is the weight of coffee?
1-4.2x + 3y - 9 + 5x + y
how many terms are in this expression
Answer:
because
Step-by-step explanation:
i need help with geometry
Answer:
x = 119, y = 55
Answer:
x = 119°
y = 55°
Step-by-step explanation:
y + 125 = 180 {linear pair}
y = 180 - 125
y = 55°
Sum of all the angles of quadrilateral = 360
x + 55 + 72 +114 = 360
x + 241 = 360
x = 360 - 241
x = 119°
what is the additive inverse of 3x - 6
Answer:
-18
Step-by-step explanation:
what is the midpoint between (1,5) and (7,-3)
Answer:
(4,1)
Step-by-step explanation:
[tex]Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\[/tex]
[tex]=(\frac{1+7}{2},\frac{5-3}{2})\\\\=(\frac{8}{2},\frac{2}{2})\\\\=(4,1)[/tex]
yes or no? please help!!
Answer:
No it is not
Step-by-step explanation:
One cannot have two outputs
Please mark me brainlest!!
what's the square root of 25 in **simplest radical form**
Answer:
5
Step-by-step explanation:
The square Root of 25 in its simplest form means to get the number 25 inside the radical √ as low as possible.
25 is a perfect square, which means that you can simply calculate the square Root of 25 to get the answer. 5 times 5 equals 25. Thus, the square Root of 25 in simplest radical form is:
5
Evaluate the expression when n = 2.3. 5(n − 2) + 9 =
Answer:n=2.3.5(n-2)+9=n=44.6
Evaluate the expression for h = –4. Simplify your answer. h + 16 h =
Answer:
-68
Step-by-step explanation:
-4-64
-68
Is the following relation a function?
Answer:
no
Step-by-step explanation:
the x value (-1) repeats therefore it ain't a function
What is -3/8 ÷ (-1/2)?
Answer:
3/4
Step-by-step explanation:
-3/8÷(-1/2)
-3/8÷-1/2
-3/8÷2/-1
-3×2/-8
-6/-8
-(-6/8)
-(-3/4)
3/4
Answer:
3/4
Step-by-step explanation:
my teacher just told me that answer a few seconds ago
can you help me please?
-2y+3=22 y-5=3 elimination method
Answer:
Not possible
Step-by-step explanation:
You cannot do an elimination method because there is no x
I need help with Geometry
help anyone I don’t understand
Answer:
D. 71
Step-by-step explanation:
Plug 7 into f
(7)^2 + 2(7) + 8
then solve
49 + 14 + 8
71
this is due in 4 hours plus i have 5 classes left please help
Answer:
Onaje is correct.
Step-by-step explanation:
To start, total up how many shirts we have, and multiply them by t. Since they are the same price, we now have a total for how many shirts they bought. This proves the second and third equations that they wrote. If you take the easy way and just add them, you'll still have 25t, making Onaje's expression correct.
EDIT: Just saw you need why it's incorrect for Paula, just hold on.
So for Paula, it's simple why she is incorrect. If you look at the third equation she wrote, she's adding 25 to 2t, which is completely incorrect, and will come up with a different result than 16t + 9t.
Hope this helps.
Change 273° Kelvin to Celsius degrees.
P Leeeeeeeeeeee Sssssssssss help me
Answer: 273 degrees kelvin = -0.15 degrees celsius
hope this helps brainliest plz
What is the surface area of this design?
5 in.
256 in2
160 in2
8 in.
96 in2
4 in.
288 in2
4 in.
8 in.
Answer:
Pretty sure its 256 in2
Step-by-step explanation:
did the iready test
By decomposing the design into two rectangular prisms, the surface area of the design is calculated as: A. 256 in.²
What is the Surface Area of a Rectangular Prism?The surface area of a rectangular prism is expressed as, S = 2(lw + lh + wh).
The design can be decomposed into top rectangular prism and bottom rectangular prism.
The surface area of the design = surface area of the top rectangular prism + surface area of the bottom rectangular prism - 2(area of the top rectangular prism that joins the bottom rectangular prism)
Surface area of the top rectangular prism = 2(lw + lh + wh) = 2(5×4 + 5×4 + 4×4) = 112 in.²
Surface area of the bottom rectangular prism = 2(lw + lh + wh) = 2(8×5 + 8×4 + 5×4) = 184 in.²
Area of the top rectangular prism that joins the bottom rectangular prism = l × w = 5 × 4 = 20 in.²
The surface area of the design = 112 + 184 - 2(20) = 256 in.²
Learn more about surface area of rectangular prism on:
https://brainly.com/question/1310421
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y = x3 + x2 − 4x − 16
Answer:
use photo math
Step-by-step explanation:
Answer:
Step-by-step explanation:
DIFFERENTIATE W.R.T. X
3x 2 +2x−4
EVALUATE
x 3 +x 2 −4x−16
EVALUATE
x
3
+x
2
−4x−16
