1/8 is half of 1/4
Step-by-step explanation:
1/8 + 1/8 = 1/4
what is the value of z for the equation 1/2z = -3/4 + 1/4z?
-3
-1
1
3
Answer:
z= -3
Step-by-step explanation:
[tex]\frac{1}{2} z[/tex] = [tex]\frac{-3}{4} + \frac{1}{4} z[/tex]
[tex]\frac{1}{2} z - \frac{1}{4} z[/tex] = [tex]\frac{-3}{4}[/tex]
[tex]\frac{2z - z}{4} = \frac{-3}{4}[/tex]
[tex]\frac{z}{4} = \frac{-3}{4}[/tex]
4z = -3×4
4z = -12
[tex]\frac{4z}{4} = \frac{-12}{4}[/tex]
z = -3
Hope this helps!!!
The value of z in the equation (1/2)z = - 3/4 + (1/4)z is 3/2.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
given, (1/2)z = - 3/4 + (1/4)z and we have to find the value of z or solve for z.
∴ (1/2)z = - 3/4 + (1/4)z.
(1/2)z - (1/4)z = 3/4.
(1/2)z = 3/4.
z = (3/4)×(2/1).
z = 6/4.
z = 3/2.
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An artist can sell 20 copies of a painting at $100 each, but for each additional copy he makes, the value of each painting will go down by a dollar. Thus, if 22 copies are made, each will sell for $98. How many copies should he make to maximize his sales?
Answer:
40 more paintings in order to maximize sales making a total of 60 paintings
Step-by-step explanation:
Let x= no.of copies above 20
Total Sales(x) = (number of copies)(price per copy)
Sales (x)= (20 +x)(100 –x)
Open bracket
=1200-20x+100x-x^2
=1200+80x-x^2
Derivative of the sales
80-2x=0
80=2x
Divide both sides by 2
40=x
Because Sales(x)= –2, this is maximal by the second derivative test
The artist should make 40 more paintings in order to maximize sales making a total of 60 paintings.
The artist 60 copies should he make to maximize his sales
The artist can sell 20 copies at $100 each.
So, the total sales is:
Total =(20) * (100)
For each additional copy he makes, the value of each painting reduce by a dollar.
So, the total sales becomes
Total = (20 + x) * (100 - x)
Rewrite as:
[tex]y = (20 + x) * (100 - x)[/tex]
Expand
[tex]y = 2000 - 20x + 100x - x^2[/tex]
Evaluate the like terms
[tex]y = 2000 +80x - x^2[/tex]
Differentiate
[tex]y' = 80 - 2x[/tex]
Set to 0
[tex]80 - 2x = 0[/tex]
Collect like terms
[tex]- 2x = -80[/tex]
Divide both sides by -2
[tex]x = 40[/tex]
Recall that the initial copies is 20.
So, the new copies would be:
New = 20 + 40
New = 60
Hence, the artist 60 copies should he make to maximize his sales
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Please help image below with question
Answer:
1/3
Step-by-step explanation:
F = 36
G = 4
We know that The area is multiplied by the scale factor squared
F * (SF) ^2 = G
36 (SF) ^2 = 4
Divide each side by 36
36/36 (SF) ^2 = 4/36
(SF) ^2 = 1/9
Take the square root of each side
sqrt((SF)^2) = sqrt(1/9)
SF = 1/3
The scale factor is 1/3
Simplify the expression.
4 (2m – 6) – 3p – 2m + 8
-------------------------------------------------------------------
4 (2m – 6) – 3p – 2m + 8
Expand 4 (2m – 6):
8m - 24– 3p – 2m + 8
Simplify 8m - 24– 3p – 2m + 8:
Group like terms:
8m - 2m - 3p - 24 + 8
Add similar elements:
6m - 3p - 24 + 8
Add subtract the numbers:
6m - 3p - 16
Your Answer Is 6m - 3p - 16
plz mark me as brainliest if this helped :)
What is the shape of the cross section of the figure that is perpendicular to the rectangular base and passes through the top vertex of the figure? A rectangular pyramid. a parallelogram that is not a rectangle a rectangle a triangle that must have the same dimensions as one of the faces a triangle that does not have the same dimensions as one of the faces
Answer:
D
Step-by-step explanation:
The figure is a rectangular pyramid. The cross section is perpendicular to the rectangular base and passes through the top vertex of the figure. A triangle that does not have the same dimensions as one of the faces is formed. The sides of the new triangle are the heights of the triangles on the faces of the pyramid, and that is why their dimensions are different.
Answer:
d
Step-by-step explanation:
Abbi invested $1,000 in a certificate of deposit with a simple interest rate of 3%. Find the interest earned in 6 years. Then find the total of principal plus interest.
Answer:
SI = prt / 100
SI = (1000 x 3 x 6)/100
SI = 180
Amount = 1000 + 180 = 1180
solve using substitution.
2x-3y
x+y=9
just so you know, I know the answer its (3,6). I just need the explanation on how to get that answer using substitution.
Answer:
(3,6)
Step-by-step explanation:
2x-3y = -12
x+y=9. Solve for either y or x
-x. -x
y = -x + 9. Substitute this for the y
2x-3(-x+9)= -12
2x +3x-27 = -12. Add like terms
5x -27 = -12
+27. +27. Inverse operations
5x = 15
÷5. ÷5
x = 3
x + y = 9
3 + y = 9. Substitute 3 for x
-3. -3. Inverse operations
y = 6
Solve for x rounded to the nearest tenth.
sin 52 =x/7
Answer:
6.9
Step-by-step explanation:
sin(52)=x
x=7sin(52)
Please give me the answer
Answer:
37°
Step-by-step explanation:
As we know the sum of angles of a triangle is 180 degrees.
Therefore,
angle A + angle B + angle C = 180°
In the given picture two angles are given and we have to find out the third angle.
x° + 45° + 98° = 180°
x° + 143° = 180°
x° = 180° - 143°
x° = 37°
The value of x in the triangle shown is 37°.
Chris collected $25.65 for a fundraiser. Remy collected $15.87 more than Chris. Sany collected 3 times as much as Remy. How much did Sandy collect for the fundraiser?
12 points please help it's for a quiz
Answer:
47.61$
Step-by-step explanation:
hope this helps please give me brainiest
PLEASE HELP I REALLY NEED IT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Last year, the school library had a total of x books. Over the summer, the library acquired another 37 books and now has a total of 1,950 books. Which equation could be used to find x, the number of books the library had last year?
A.
1,950 + x = 37
B.
x + 37 = 1,950
C.
x - 37 = 1,950
D.
37x = 1,950
Answer: the answer is B
Step-by-step explanation:
The following equation f(x) = x³ + 0.5x² + 4.5 has only 1 real root. It lies between the interval [-1,0].
a. yes
b. no
c. cannot determine the answer
Please select the best answer from the choices provided
Answer:
I believe that a=the answer is C if It's not then probably A
Step-by-step explanation:
Answer:
the answer is
b.no
Step-by-step explanation:
Please help! Not really good with coordinates.
Answer:
i really want to help but i think it might be D
Step-by-step explanation:
Answer:
(1 , 7)
Step-by-step explanation:
(1 , 7) (5 , 7)
(1 , 3) (5 , 3)
What is 52.738 rounded to the nearest whole number
Answer:
It would be 53
Step-by-step explanation:
because the tens place is over 5 so it rounds up
Help asap . thank youu
Answer:
yes
look at each one of the sides
the x row counts by 1
1 + 1 = 2, 2 + 1 = 3, 3 + 1 = 4
the y row counts by 2
3 + 2 = 5, 5 + 2 = 7, 7 + 2 = 9
( Hope this helps :D)
explain how finding the volume of a cylinder is similar to finding the volume of a prism
Answer:
Finding the volume of a cylinder is similar to finding the volume of a prism because they share the same formula, that is:
V = base area x height
Hope this helps!
:)
Answer:
Volume of a prism is base area × height
Base of a cylinder is a circle,
Base area = pi× r²
Volume of cylinder = pi × r² × h
Which is the same as base area × height
What is the value of y
Answer:
42
Step-by-step explanation:
We know that in the triangle, there are 3 values. 2 of them are y and 1 of them is unknown.
So, in order to find the value of the unknown number, they gave us an angle supplementary to the unknown.
Supplementary angles are angles that add up to 180 degrees. So the equation for that would be x+88=180.
By subtracting from both sides, we get x=92. So, the unknown angle is 92.
To solve for y, we have to do the same thing, but since we have 2 y's the equation will be 2y+92=180. (92 is the interior angle, aka the unknown one)
Solve: -92 -92
2y=88
/2 /2
y=42
Hence, y is equal to 42.
(edit: sorry they don't line up correctly)
To avoid a storm, a pilot of a vintage biplane flies up 2,500 feet, but stays below 32,000 feet. Write and solve an inequality to find the maximum original altitude of the plane.
a + 2,500 > 32,000; a > 34,500
a + 2,500 < 32,000; a < 29,500
a + 2,500 < 32,000; a < 34,500
a + 2,500 > 32,000; a > 29,500
Answer:
a + 2,500 < 32,000; a < 29,500
Step-by-step explanation:
This shows the 2,500 can be adapted to become less than 29,500 in additional measure when flying.
As 2,500+ 29,500 = 32,000
The a+2,500<32,000 is also correct as this shows less than and confirms that the biplane stays below 32,000.
martin scores 40% of the points in a game if this represents 24 points how many points were scored in total
Answer:
60
Step-by-step explanation:
Approximate the real zeros of f(x)= x^4 -5x^3 +6x^2 -x -2 to the nearest tenth
Answer:
The zeros are approximately -0.433 and 3.352
Step-by-step explanation:
The easiest way to find the real zeros of a polynomial is to plot it and check where y = f(x) = 0. In the picture attached, the plot of f(x)= x^4 -5x^3 +6x^2 -x -2 is shown. Only two real zeros were found.
Answer:
it’s b
Step-by-step explanation:
you’re welcome
If FG=HI, then
A FG-HI
В FG = HI
C. FG = H
D. FG = HI
Please select the best answer from the choices provided
Answer:
the answer is D because a and b don't have a period to separate the choice of the answer
Anna drives 15,500 miles a year for work. On average, how many miles does she drive a week?
Answer:
206 miles
Step-by-step explanation:
People generally work 5x a week so.. (15000 / 52)
52 indicates the amount of weeks in a year.
In total, that is 288.4 miles a week. Now, we're assuming she doesn't work on the weekend so we divide 288.4 by 7. That is 41.2 miles a day. Now, you times 41.2 by 5 and your answer should be 206 miles a week.
What is the volume of a cylinder, in cubic meters, with a height of 5 meters and a base
diameter of 6 meters? Round to the nearest tenths place.
Answer:
the answer is 141.3 cubic meters ( if you use 3.14 for pi)
Step-by-step explanation:
the volume equation of a cylinder is
V= π[tex]r^{2} h[/tex]
we have to change the 6 meters to 3 meters because the equation for the volume of a cylinder wants the radius not the diameter
V= 3.14 × [tex]3^{2}[/tex] × 5
that equals 141.3
Answer:
141.4 meters3
Step-by-step explanation:
h\hspace{3px}=\hspace{3px}5\hspace{30px}d\hspace{3px}=\hspace{3px}6
h=5d=6
identify variables
r=
r=
\,\,3
3
radius is half of the diameter
V=
V=
\,\,\pi r^2h
πr
2
h
use volume of a cylinder formula
V=
V=
\,\,\pi(3)^2(5)
π(3)
2
(5)
substitute variables into formula
V=
V=
\,\,141.371669412
141.371669412
multiply
V=
V=
\,\,141.4\text{ meters}^3
141.4 meters
3
round to the nearest tenths place
What is the volume of the cylinder below?
A. 256 units 3
B. 1024 units 3
C. 64x units 3
D. 128 units 3
Answer:
A 256 units 3
Step-by-step explanation:
The volume of the cylinder given below is 256π units .
Given,
Radius of cylinder = 8 units
Height of cylinder = 4 units
Now,
Volume of cylinder is given by
V = π×r²×h
r = radius of base
h = height of cylinder
So,
Substitute the values in the formula,
V = π × 8² ×4
V = π × 64 × 4
V = 256π units .
Thus the volume of the cylinder is 256π units .
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A plumber charges $130 2 hours of work and $235 for 5 hours of workWhat is the of change in dollars per hour
Answer:
235
Step-by-step explanation:
Figure the rates per hr.
110/3 = 36 2/3
160/5 = 32.
So, the rates are not the same.
Knowing a bit about plumbers, they normally charge a basic fee to just show up, and then they charge per hr.
In cases like these, where we're asked to project to a new data point (in this case an 8-hr job), you should immediately think of a graph. The x-axis would be the hours worked. The y-axis would be the charge for the work (the cost of the job).
We're given two pairs of values:
(3,110) and (5,160).
The next step is to fit a line to them.
y = mx+b is the general equation for a line.
m = the slope = rise/run = change in y / change in x
Call the change in y, dy (for delta y).
Call the change in x, dx (for delta x).
m = dy/dx = 50/2 = 25
The slope is thus 25, which means for each hour, the price goes up by $25. That means the plumber charges $25/hr.
We also know the plumber charges $110 for a 3-hr job. 3*25 = $75. So the base charge would be $110-75 = $35.
y = 25x + 35
Checking this formula at x=3, we know it is 110.
Checking it at x=5, we obtain:
y = 25*5 + 35 = 125 + 35 = 160.
That checks.
Now to figure an 8-hr job, set x=8 and use the equation"
y = 25*8 + 35.
y = 200 + 35.
y = 235.
That means an 8-hr job costs $235.
In circle Y, what is mArc T U?
Answer: 71
Step-by-step explanation:
Answer:
if this is the circle than its B. 67 degrees
Step-by-step explanation:
Which polygons are similar?
Which expression is equal to 20.92 ÷ 6.8?
A
209.2 ÷ 6.8
B
2.092 ÷ 68
C
2092 ÷ 68
D
209.2 ÷ 68
Answer:
D
Step-by-step explanation:
They both equal 3.08
The decimal is moved one to the right on both so the answer will be the same
Answer:
D. 209.2 ÷ 68
I hope this helps!
Which statements are true?
Select each correct answer.
All parallelograms are quadrilaterals.
All rectangles are squares.
All rhombuses are rectangles.
All squares are rhombuses.
Answer:
All rectangles are squares, All parallelograms are quadrilaterals,
Answer:
all squares are rhombuses, all parallelograms are quadrilaterals
Step-by-step explanation:
this is what is true
I somehow forgot how to do anything with fractions.
Answer:
-625
Step-by-step explanation:
-1/5 x 5^5=-625
hope this helped stay safe!
Answer:
625
Step-by-step explanation:
First Step:
Solve [tex]5^{5}[/tex] =3,125
Then:
Multiply 3,125 by [tex]\frac{1}{5}[/tex]
Last:
Solve!
Answer: 625
Hope this helped :)