Answer:
12 bikes
9 tricycles
Step-by-step explanation:
x+y=21
2x+3y=51
x=-y+21
2(-y+21)+3y=51
-2y+42+3y=51
y+42=51
y=9
x=12
Which polygons are similar?
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
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:
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 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)
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)
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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3. Give two systems of equations that would be easier to solve by substitution
than by elimination. Then give two systems that would be easier to solve with
elimination. Finally, explain how you decide whether to use elimination or
substitution to solve a system.
Answer:These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
explanation Step-by-step explanation:ust to add a bit more information, "Elimination" Can have a variety of other interpretations. Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.' Do not worry if you have not heard of these terms. They are used in Linear Algebra when referring to "Elimination techniques"
Just to add a bit more information, "Elimination" Can have a variety of other interpretations. Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.' Do not worry if you have not heard of these terms. They are used in Linear Algebra when referring to "Elimination techniques"
Gaussian Elimination
Gauss-Jordan Elimination
LU-Decomposition
QR-Decomposition
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
Substitution is the preferred method for 2 equations in 2 unknowns. The constants are unimportant other than having a non-zero determinant. It is always easy to find multiplicative factors using LCMs of one variable or the other to allow substitution into the other equation:
Example:
4X + 5Y = 9
5X - 4Y = 1
Notice that 20 is a LCM of either the X or Y variable. So multiply the first by 4 and the second by 5 and then adding the two (Y's will drop out allowing for substitution)
4(4X + 5Y = 9)
5(5X - 4Y = 1)
Multiplying to produce the LCM factors:
16X + 20Y = 36
25X - 20Y = 5
Adding the equations
41X = 41
X = 1
Substitution into either equation yields
Y = 1
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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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! 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)
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)
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.
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!
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:
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
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:
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 :)
In a relay race, Nancy ran her part in 15.25 seconds, John ran his part in 13.8 seconds, Sylas ran his part in 16.4 seconds. What wasthe total time for the three runners
Answer:45.45
Step-by-step explanation:
First add 15.25 and 13.8 together and with hat answer then you will go ahead and add the answer and 16.4 together and that will give you your total hope this helps
Tom likes to go over to his friend's house almost every night to play video games. They usually spend 3 hours a night playing the video game together. Last week, they spent a total of 15 hours playing the video game. If Tom went over every night, he would spend 21 hours playing the video game. Also, Tom's friend's mom gives Tom two cookies each time he is there. How many cookies does Tom get last week?
Answer:
it is 10
Step-by-step explanation:
Answer:
he got ten cookies because since they play for 3 hours a night you do 15/3 to get 5 nights. since his friends gets 2 cookies everyday he is there 5*2 is 10 cookies last week
Step-by-step explanation:
i was reading this i was like what do the video games have to do with it
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 .
Know more about cylinder,
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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
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 :)
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
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°.
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
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
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:
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: