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!
Find the area n show work
What is the volume of this figure?
Answer:
875 ft^3
Step-by-step explanation:
Pick them apart starting at the bottom. The formul used is V=lwh
Starting at the bottom we have we have a sqare of 5 ft = 5ft^3= V = 125 ft^3
Then we have a rectangular prism: 5 x 5 x 20 = V = 500 ft^3
Third we have 5 x 5 x 10 = V = 250 ft3
125+500+250 = 875 ft^3
Answer the question below in the picture
Answer:
part b (2,-1)
Part c the lines intersect at (-20,-45)
Step-by-step explanation:
WILL MARK BRAINLIEST
Answer:
As x decrease by 1 y decrease by 6 first then 5 then 4 it is not equal so it is nonlinear meaning not straight.
Step-by-step explanation:
The distance from Jason's house to school is 0.2 kilometer. What is this distance in meters?
Answer:
200 Meters!
Step-by-step explanation:
Answer:
200 m
Step-by-step explanation:
Distance from Jason's house to school = 0.2 kilometers
Converting into metres
0.2 km = 0.2 * 1000 m = 200 m
Hope it will help :)
Find slope intercept form.
(M=1/2) (6,3)
Answer:
y = (1/2)x
Step-by-step explanation:
Start with that form: y = mx + b. Substitute 1/2 for m, 6 for x and 3 for y, for the purpose of finding the value of the y-intercept, b:
3 = (1/2)(6) + b. Thus, b = 0 and the desired equation is y = (1/2)x.
SOMONE HELP PLSSSS IM SO CONFUSED
35.95+7.75%
Answer:
43.7
Step-by-step explanation:
Solve the question to get brainliest
Answer:
D..................
Step-by-step explanation:
Have a nice day
Can somebody help me please
13^-4/13^4=13^0
True of False
how many solutions? 2a + 4 = a + a + 4
Examine the following tables of ordered pairs and identify which relations are functions.Select two that apply
Answer:
Step-by-step explanation: B
The tables of ordered pairs representing relations that are functions are: A and C.
What is a Function?If a table of ordered pairs of a relation has each x-value relating to exactly one y-value, then the relation is a function.
Table B and D do not apply to this rule. Table A and C have each of its x-values paired with exactly one y-value.
Therefore, table A and C represent functions.
Learn more about functions on:
https://brainly.com/question/10439235
#SPJ2
Please help will give brainlest.
Answer:
a).cruz is right.
b).-64 is cube root of -4.
c).because -64 is square root of -8.
Step-by-step explanation:
1.Cruz is right
2. If the nth root of the negative number is a odd number, the answer is negative this of the FOLLOWING is the example not the answer
[tex] \sqrt[5]{ - 243} = [/tex]
[tex]( - 3 \times - 3) = 9[/tex]
[tex]9 \times ( - 3) = - 27[/tex]
[tex] - 27 \times - 3 = 81[/tex]
[tex]81 \times - 3 = - 24 3[/tex]
So the answer is -3
For -64
[tex] - 4 \times - 4 = 16[/tex]
[tex]16 \times - 4 = 64[/tex]
So Cruz is right.
3. Aaron is wrong because it asked for the 3rd root of -64 and -8 isn't that.
Jacob is wrong because the nth root is a odd number and the number under the radical s negative so it going to give us a negative number(which is a real number)
JoAnn paid $3.80 for each book at a book sale.
How much did she spend if she bought 9 books?
Answer:
$34.20
Step-by-step explanation:
total spent =3.80*9=$34.20
pls answer i need help with 2 questions
Answer:
(2, 8) and (-2, 7)
Step-by-step explanation:
You can plug in the respective x and y values and see what works.
This cylinder has a volume of 12π cubic inches and a diameter of 4 inches. Find the cylinder's radius and height.
Answer:
The statement 50π=52πh is equivalent to 50=25h. Since 50 is 25 times 2, h=2 units.
The statement 36π=r2π4 is equivalent to 36=r2⋅4. Since 36 is 4 times 9, r2=9. This implies r=3 units.
Step-by-step explanation:
i think tht is right
WILL GIVE BRAINIEST!!! IF UR ANSWER IS RIGHT
Answer:
-1
Step-by-step explanation:
the slope of this one is y=x-21
in order for it to be perpendicular the sign changes and the slope flips
but because the slope is 1 you just change the slope to -1
PQRS is parallelogram,QM is the height of Q to SR and ON is the height from Q to PS.It SR =12 cm and QM =7.6 cm find the area of the parallelogram PQRS. please friends give the ans
Given: SR=12cm, QM=7.6cm, PS=8cm.
Area of parallelogram=base×height
=12×7.6=91.2cm2.
Area of parallelogram=base×height
⇒91.2=8×QN
⇒QN=891.2=11.4cm.
2(4x-1)+3=7
i'm little confused on this
Answer:
x = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Since you cannot subtract -1 from 4x, you multiply 2 × 4x = 8x
Now, you have 8x - 1 + 3 = 7
Seperate the 8x from the other numbers
8x = 1 - 3 + 7 ---> 6
8x = 6
Now simplify
x = [tex]\frac{6}{8}[/tex] <----- to reduce, divide the numerator and denominator by 2
Hence,
x = [tex]\frac{3}{4}[/tex]
(SAT prep) Find the value of x
Answer:
x=120 degrees
Step-by-step explanation:
angle below angle x=y
y=40 because it is corresponding congruent angle
x+y+20=180
x+40+20=180
x=120
Answer:
120
Step-by-step explanation:
two lines are parallel
20+40+x=180
x=180-60
x=120
1. if 5 oranges cost 60 cents, how much does 1 orange cost?
2. if 2 pounds of meat cost $2.80, how much does 1 pound cost?
3. if a car goes 80 miles in 2 hours, how far does it go in 1 hour?
what is the answes please I need it!
Find the measure of the missing angle. *
156°
?
20°
35°
please help i feel like im dying i will give out brainliest and points thank you
Answer:
I feel like the answer would be 10
Step-by-step explanation:
because if its same size it would be 14 but then u add the 2 to 2x u get 4 then x is the rest of 14 I'm farely sure if someone else can verify this then this is the answer
which polynomials are in standard form?
Answer:
c is the ans
Step-by-step explanation:
Mrs. Avery is going to randomly select one student from her class to read a poem out loud. There are 15 boys and 13 girls in her class.
What is the P{boy}?
In the triangle below, x= cm round to the nearest tenth
9514 1404 393
Answer:
8.6 cm
Step-by-step explanation:
We notice the hypotenuse is given, and the desired length is of the side opposite the given angle.
The mnemonic SOH CAH TOA reminds you of the relevant relationship:
Sin = Opposite/Hypotenuse
sin(35°) = x/(15 cm) . . . . . . fill in the given information
We can multiply by 15 cm to find the value of x.
x = (15 cm)sin(35°)
x ≈ 8.6
_____
For those inclined to copy this answer to a different question, we suggest ...
y = (15 cm)cos(35°) ≈ 12.3 cm
Answer: 8.603646545 or rounded to the nearest tenth 8.6
Step-by-step explanation:
you are going to have to use (sin). so,
(15)sin(35)
8.603646545 or 8.6
this is correct.
7. Where do the altitudes of ATUV meet?
70.6)
3
O
M-B-2)
U2)
A (0, 2)
B (0, 1.5)
C (0,1)
D (1.5, 1)
Simplify the expression:
(6y + 10) - (2y + 3)
show work if u can
Answer:
4y + 7
Step-by-step explanation:
(6y + 10) - (2y + 3)
6y - 2y = 4y
10 - 3 = 7
4y + 7
What is the area of the trapezoid?
6 m
4 m
5 m
3 m
square meters