Answer:
Step 1
Step-by-step explanation:
Mark simplified 3/5 + 5/8 using the steps below:
Step 1: 3/5 * 8/5
Step 2: 3 * 8 / 5 * 5
Step 3: 24/5
Step 4: 4 4/5
Mark's error is in Step 1 where he changed the addition sign to multiplication sign.
The correct solution is:
[tex]Step 1: \dfrac{3}{5}+ \dfrac{5}{8}\\Step 2: \dfrac{24+25}{40}\\Step 3: \dfrac{49}{40}\\Step 4: 1\dfrac{9}{40}[/tex]
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
Janet saved $3500 in 2007. If each year after
this she saves $750 more than the year before,
how much will she save in 2012?
(A) $5750
(B) $6500
(C) $7250
(D) $8000
(E) $8750
Answer:
7250
Step-by-step explanation:
The equation would be as follows
3500+750x=y
Between 2012 and 2007, there are 5 years, thus x=5
3500+750(5)=7250
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
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)
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)
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
if 3/x=5/y then what is the value of y/x?
plss help
Answer:
Step-by-step explanation:
3/x=5/y
3y/x=5
y/x=5/3
i will mark brainliesttt!
Answer:
d = 52
Step-by-step explanation:
The two angles form a straight line so they are supplementary
Supplementary angles add to 180
d+128 = 180
Subtract 128 from each side
d+128-128 = 180-128
d = 52
Answer:
52
Step-by-step explanation:
so to solve this one, you have to get the value of d.
for this you need to first subtract the given angle from 180.
180-128=52
that is the value of d :) if u need any more help post a question, ill follow you!
Which measurement shows how much space is inside a rectangular prism?
A.
faces
B.
area
C.
perimeter
D.
volume
Answer:
D: volume
Step-by-step explanation:
A mother has one allele for color blindness and one allele for normal vision
What is the probability that her gamete will have the allele for color
blindness?
A. 0%
O B. 25%
C. 75%
D. 50%
Answer:
i say 50%
Step-by-step explanation:
if there is an outcome of 2
then there is a 50% chance she either has normal visions or color blindness
Answer:D
Step-by-step explanation:
7. The original price of a bicycle is $700. It is discounted by 50%. What is the sales price of
the bike?
Answer:
$350.
Step-by-step explanation:
50% translates over to 1/2, so you take the price of $700 and multiply it by 1/2. You then get $350, which is half of $700.
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)
Please answer. Question in picture.
Ans
Step-by-step explanation:
Please answer CORRECTLY , Will mark brainliest !!!!!!
Answer:
answer c
Step-by-step explanation:
khan
Answer:
Step-by-step explanation:
C
Which of the following closed sets of ordered pairs is not a function?
A
{(3, 2), (4, 6), (5, 8)}
B
{(2, 1), (3, 2), (4, 3)}
C
{(1, 2), (2, 5), (1, 3)}
D
{(2, 4), (5, 3), (4, 1)}
Answer:
C
Step-by-step explanation:
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
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 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.
learn more about equations here :
https://brainly.com/question/10413253
#SPJ2
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:
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
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 distance from the right center field fence to third base? Show all of your work and round
your answer to the nearest tenth of a foot
Answer:
[tex]381.5\,\,\,ft[/tex]
Step-by-step explanation:
Given: Figure
To find: distance from the right center field fence to third base
Solution:
In a right angled triangle,
using Pythagoras theorem, square of hypotenuse is equal to sum of squares of base and perpendicular.
In ΔBAC,
[tex]BC^2=AB^2+AC^2\\(392)^2=x^2+(90)^2\\153664=x^2+8100\\153664-8100=x^2\\145564=x^2\\\sqrt{145564}=x\\381.5\,\,\,ft=x[/tex]
So,
distance from the right center field fence to third base is 381.5 foot.
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
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.
ΔQRS is an isosceles triangle. What is the length of RT¯¯¯¯¯¯ ? Round to the nearest hundredth. Enter your answer in the
Answer:
RT = 9.200 cm
Step-by-step explanation:
[tex]RT = \sqrt{ {11}^{2} - {6}^{2} } \\ RT = \sqrt{121 - 36} \\ RT = \sqrt{85} \\ RT = 9.219 \: cm \\ RT = 9.200 \: cm[/tex]
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,
https://brainly.com/question/15891031
#SPJ2
25 points and brainly please help quick
Doug records how many miles and how long he rides his bike each day on a scatter plot.
Doug analyzes his data on the scatter plot and concludes that the more time he rides his bike, the slower his speed is. In two or more complete sentences, explain why or why not it is possible for Doug to make his conclusion based on his data.
Answer:
the plot shows he had a speed of 0.20 miles but the longer he travels the slower he gets, so his last speed is 0.17 miles a minute
Step-by-step explanation:
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