Write 6y = x + 5 in standard form using integers. A. –x + 6y = 5
B. –6x + 6y = 30
C. -6x - 6y = 30
D. 6x - 6y = 30
Answers
-x+6y=5
Our first step is to get x and y on the same side of the equals sign. To do that, we can subtract an x from both sides, turning 6y = x + 5 into -x +6y = 5. Lucky for us, this brings us straight to the answer, which is A) -x +6y = 5!
Related Questions
The LCM of 4 and 7 is ______.
10+(-3.5)x2+(-9)/(-3)
On a shopping trip, Peter spent 1/3 of his money for a jacket and another $5 for a hat. If peter still had 1/2 of his money left, how much money did he have originally ??a) $18, b) $24, c) $30, d) $48, e) $60
A writing workshop enrolls novelists and poets in a ratio of 5:3. There are 24 people at the workshop. How many novelists are there? How many poets are there? Write a system of equations to model each situation. Solve by any method.
Answers
Answer:
line of symmetry
Step-by-step explanation:
Final answer:
The term that represents a design divided so that every point on one side coincides with a point on the other side is known as symmetry. This involves an axis of symmetry dividing the design into two contrasting fields.
Explanation:
The concept in question is commonly known as symmetry, and it is often a key factor in design and visual arts. In a symmetrical design, every point on one side of the line, often referred to as the axis of symmetry, coincides with a corresponding point on the other side. This alignment creates a mirroring effect, dividing the entire design into two contrasting fields, like images divided on a poster. For instance, if you have a vertical line dividing a rectangle directly down the middle, and you have a circle on the left side of the line, a symmetrical design would have a corresponding circle on the right side.
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Answers
The expression 9c - 12- 15c - 8 - 3c is equivalent to -9c - 20.
What is an algebraic expression?
An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
9c - 12- 15c - 8 - 3c.
Solve the expression for terms c,
9c - 12 - 18c - 8
-9c - 12 -8
Further, solve for constant terms,
-9c - 20
The simplified form of the expression is -9c - 20.
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Answer:
-9c-20
Step-by-step explanation:
Simplify the equation by adding/subtracting the like terms (c and numbers)
Answers
Answer:
How much they make = 20,000
Expenses = 15,000
Profit = 5,000
Step-by-step explanation:
Well this question isn't very clear since it didn't state what the original cost for one iphone is. I think they are assuming one iphone to be 200 dollars or the sold amount, but this information is not directly stated. Anyways....
How much they make 100x200 = 20,000
Expenses 100(200-50) = 15,000
Profit 20,000 - 15,000 = 5,000
Answers
simplify
rememeber
and
and
multiply
simplify √300
√300=√3 times √100
we know that √100=10 so
√300=√3 times 10
therefor
Simplify the square root of 20.
Multiply.
Simplify.
a.) Accurately sketch the plane on the set of axes, showing all your calculations below.
b.) The three planes of the axes and the plane you have sketched create a triangular pyramid. Find the volume of this pyramid, showing the formula you are using and all
calculations below.
My Answer:
a. I started off by finding my x-intercept. To find my x-intercept I substituted y and z with 0. So: x + 3(0) + 2(0) = 6. After multiplying and adding, I end up with x = 6. So my x-intercept is (6, 0, 0,). T find my y-intercept I substituted x and z with 0. So: 0 + 3y + 2(0) = 6. After multiplying and adding, we come up with 3y = 6. Now we divide each side by 3 to get y = 2. So my y-intercept is (0, 2, 0). To find my z-intercept, I substituted x and y with 0. So, 0 + 3(0) + 2z = 6. After multiplying and adding, I get 2z = 6. Now I divide each side by 2 to get z = 3. So my z-intercpet is (0, 0, 3). After I plotted the points and connected them, they formed a triangular pyramid.
So thats how much i got. I cant seem to figure out how to get the volume. please help.
Answers
Answer:
Volume of the pyramid = 6 cubic units
Step-by-step explanation:
The volume of a triangular pyramid is: V = (1/3)*A*H
where A is the area of the triangle base, and H is the height of the pyramid.
Taking the triangle formed in the x-y plane as the base, its area is computed as follows:
A = (1/2)*6*2 = 6 square units
where 6 and 2 are the measure of the two perpendicular sides of the triangle. This is taken from the x-intercept point (6, 0, 0) and y-intercept point (0, 2, 0).
The height of the pyramid is then the measure of the z-intercept point (0, 0, 3), that is, 3. Replacing in volume formula:
V = (1/3)*A*H
V = (1/3)*6*3
V = 6 cubic units
x + 3y + 2z = 6
x + 3(0) + 2(0) = 6
x + 0 + 0 = 6
x + 0 = 6
- 0 - 0
x = 6
X - Intercept: (6, 0, 0)
Y - Intercept
x + 3y + 2z = 6
0 + 3y + 2(0) = 6
0 + 3y + 0 = 6
0 + 0 + 3y = 6
0 + 3y = 6
- 0 - 0
3y = 6
3 3
y = 2
Y - Intercept: (0, 2, 0)
Z - Intercept
x + 3y + 2z = 6
0 + 3(0) 2z = 6
0 + 0 + 2z = 6
0 + 2z = 6
- 0 - 0
2z = 6
2 2
z = 3
Z - Intercept: (0, 0, 3)
Volume of the X - Intercept, Y - Intercept, and Z - Intercept
V = ¹/₃(¹/₂lwh)
V = ¹/₃(¹/₂(6)(2)(3))
V = ¹/₃(¹/₂(12)(3))
V = ¹/₃(¹/₂(36))
V = ¹/₃(18)
V = 6 u³
4.log 1/2 32= -5
Evaluate the logarithm
6. log27 3=
8. log 1/4 256=
9. log 10 .001=
10. log 64 2=
Answers
8. -4
9. -3
10. 1/6
Therefore:
3)log 1/4 1=0 ⇔(1/4)⁰=1
4)log 1/2 32 -5 ⇔(1/2)⁻⁵=2⁵=32
6)
log 27 3=n ⇔ 27^n=3
27=3³
(3³)^n=3 ⇒n=1/3 (3³)¹/³=3³/³=3¹=3
Answer: log 27 3=1/3
7)
log1/4 256=n ⇔(1/4)^n=256
256=2⁸=4⁴
(1/4)^n=4⁴ ⇒n=-4 [ (1/4)⁻⁴=4⁴=256 ]
Answer: log1/4 256=-4
9)
log 10 0.001=n ⇔ 10^n=0.001
0.001=10⁻³
10^n=10⁻³ ⇒n=-3
answer: log 10 0.001=-3
10)
log 64 2=n ⇔64^n=2
64=2⁶
(2⁶)^n=2 ⇒2(⁶n)=2¹ ⇒ 6n=1 ⇒ n=1/6
answer: log 64 2= 1/6