Answer:
0.8/0.6=1.33333 and to the nearest hundredth is 1.33
negative five and one seven divided by negative two and two fifths
Answer:
Step-by-step explanation:
\(-5\frac{1}{7} \div 2\frac{2}{5} =-\frac{36}{7}\div \frac{12}{5}\)
\(=-\frac{36}{7} \times \frac{5}{12}\)
\(=-\frac{3}{7} \times \frac{5}{1}\) (÷ top and bottom by 12)
\(=-\frac{15}{7}\)
\(=-2\frac{1}{7}\)
what is 6 5/8 + 4 3/4 in simplest terms
Answer: To find the sum of 6 5/8 and 4 3/4, you need to express the two fractions with a common denominator. One way to do this is to express both fractions with a denominator of 8. To express 6 5/8 with a denominator of 8, you can rewrite it as 6 + 5/8, and to express 4 3/4 with a denominator of 8, you can rewrite it as 4 + 3/4. When you add these two fractions, you get:
6 + 5/8 + 4 + 3/4
= 10 + 8/8
= 10 + 1
= 11 1/8
So the sum of 6 5/8 and 4 3/4 is 11 1/8. This fraction is already in simplest form, since the numerator and denominator are relatively prime (i.e., have no common factors other than 1).
Answer:
\(\frac{91}{8}\)
Step-by-step explanation:
so your question is given in mixed number
\(6\frac{5}{8} + 4\frac{3}{4}\)
now simply multiply 6 with denominator and then add 5 to it . In denominator keep 8 as it is.Follow the same process for another term as well.
= \(\frac{6*8+5}{8}\) +\(\frac{4*4+3}{4}\)
=\(\frac{53}{8}\) + \(\frac{19}{4}\)
now take LCM
=\(\frac{53*1 +19*2}{8}\)
=\(\frac{53+38}{8}\)
=\(\frac{91}{8}\)
After this if it any cancelation can be done then do cancel in denominator and numerator but here we cannot cancel so your final answer is \(\frac{91}{8}\)
Find the volume.
PLEASE HELP I WILL GIVE BRAINLIEST TO THE RIGHT ANSWER
Farmer Elentire started with 71 dubbles on his farm. Every month, he
got 6 more of them. Farmer Hopt started with 10 dubbles on her farm.
Every month, she purchased 10 more of them.
Write a system of equations, in slope-intercept form, to model each
farmer's dubbles (y) as months (x) increase.
y= 71+ 6x
y= 10+ 10x
What pair of numbers solves the system? Use values accurate to the
nearest tenth.
The pair of numbers that solves the system is (15.25, 164.5).
The system of equations, in slope-intercept form, for Farmer Elentire and Farmer Hopt are:
y = 6x + 71 (for Farmer Elentire)
y = 10x + 10 (for Farmer Hopt)
To find the pair of numbers that solves the system, we need to find the point where the two lines intersect.
We can do this by setting the equations equal to each other:
6x + 71 = 10x + 10
Solving for x, we get:
4x = 61
x = 15.25
Now that we know x = 15.25, we can plug this value into either equation to find y.
71 + 6x = 10 + 10x
Subtracting 6x and 10 from both sides, we get:
61 = 4x
Dividing both sides by 4, we get:
x = 15.25
Now we can use either of the original equations to find y. Let's use the first equation:
y = 71 + 6x = 71 + 6(15.25) ≈ 164.5
Using the first equation, we get:
y = 6(15.25) + 71
y = 163.5
Therefore,
The pair of numbers that solves the system is (15.25, 163.5), accurate to the nearest tenth.
For similar question on pair:
https://brainly.com/question/29122030
#SPJ11
what is the common difference for the arithmetic sequence 4.7,6,7.3,8.6,9.9
Answer: 1.3
Step-by-step explanation:
If u subtract 6-4.7 u will get 1.3 and you can also do it for all and u will still get the same answer
\(2x2 - 54 + 59\)
Answer:
9
Step-by-step explanation:
Explain.. COLLEGE PREP You measurethe dimensions of a gift boxas 8.75 inches, 4.75 inches,and 2.5 inches. Which ofthe following is not anappropriate approximationof the volume of the gift box?help!
Given:
The dimensions of a gift box as 8.75 inches, 4.75 inches, and 2.5 inches.
To find the volume of the box:
Volume of the rectangle is,
\(\begin{gathered} V=\text{lbh} \\ V=8.75\times4.75\times2.5 \\ V=103.90625 \\ V\approx103.91\text{ sq. inch.} \end{gathered}\)Hence, the volume of the gift box is 103.91 sq. inches.
Identifico el nombre de la propiedad a la que hacen referencia las siguientes expresiones:
Hacen falta las expresiones para poder responder a tu pregunta, estuve investigando y adjuntaré una imagen que hace referencia a tus preguntas, espero no equivocarme.
Si este es el caso, son 9 expresiones y el nombre de cada propiedad es:
1. Inverso aditivo (Sumar un número por su opuesto el resultado es 0)
2. Ley conmutativa (El orden de los factores no altera el producto)
3. Ley asociativa (Agrupar los términos sin alterar el resultado)
4. Ley de la identidad, (Sumar un número con 0 se obtiene el mismo número)
5. Ley distributiva (La misma respuesta cuando multiplicas un conjunto de números por otro número que cuando se hace cada multiplicación por separado)
6. Ley distributiva
7. Ley distributiva
8. Ley asociativa
9. Ley conmutativa
900 employees had put their names in a lucky draw. When the lucky numbers were drawn. The first draw eliminated 20% of the people, the second draw eliminated 30% of the remaining people and the third draw eliminated exactly one third of the remaining people. How many people were eliminated in the third draw?
Answer: in the third draw 33.33% people eliminated.
Step-by-step explanation:
sin3x + sin x = COS x; [0, pi/2]
Answer:
The answer is 0
Subtract cosine x from both sides of this equation.
sin(3x) + sin(x) - cos(x) = 0
Consider
the polynomials given below.
P = 1125 + 924 - 42³ 72² + 5
Q = (22² + 1) (42² - 3)
Determine the operation that results in the simplified expression below.
1125 + - 42³ - 52² + 8
O P Q
O
Ο
O
P+Q
PO
Q-P
The polynomial 11x⁵ + x⁴ - 4x³ - 5x² + 8 denotes the expression P - Q. The correct option is option A.
What is an expression?
A mathematical expression is a phrase that contains a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression is (Math Operator, Number/Variable, Number/Variable)
Given polynomials are:
P = 11x⁵ + 9x⁴ - 4x³ - 7x² + 5
Q = (2x² + 1) (4x² - 3)
Simplify the polynomial Q = (2x² + 1) (4x² - 3):
Q = (2x² + 1) (4x² - 3)
Q = 2x²(4x² - 3) + 1(4x² - 3)
Q = 8x⁴ - 6x² + 4x² - 3
Add like terms:
Q = 8x⁴ - 2x² - 3
Now calculate P + Q
P + Q = 11x⁵ + 9x⁴ - 4x³ - 7x² + 5 + 8x⁴ - 2x² - 3
Combine like terms:
P + Q = 11x⁵ + (9x⁴ + 8x⁴) - 4x³ + (- 7x² - 2x²) + 5 - 3
P + Q = 11x⁵ + 17x⁴ - 4x³ - 9x² + 2
Now calculate P - Q
P - Q = 11x⁵ + 9x⁴ - 4x³ - 7x² + 5 - (8x⁴ - 2x² - 3)
P - Q = 11x⁵ + 9x⁴ - 4x³ - 7x² + 5 - 8x⁴ + 2x² + 3
P - Q = 11x⁵ + (9x⁴ - 8x⁴) - 4x³ + (-7x² + 2x² )+ (5 + 3)
P - Q = 11x⁵ + x⁴ - 4x³ - 5x² + 8
Now calculate Q - P
Q - P = 8x⁴ - 2x² - 3 - (11x⁵ + 9x⁴ - 4x³ - 7x² + 5)
Q - P = 8x⁴ - 2x² - 3 - 11x⁵ - 9x⁴ + 4x³ + 7x² - 5
Combine like terms:
Q - P = - 11x⁵ + (8x⁴ - 9x⁴) + 4x³ + (- 2x² + 7x²) - 3 - 5
Q - P = - 11x⁵- x⁴ + 4x³ + 5x² - 8
To learn more about operation, click on the below link:
https://brainly.com/question/22735845
#SPJ1
y-5x 7x + xy x = 0 and y = 4
Answer:
x(7y)x(7y)
Step-by-step explanation:
The given expression: 7(xy)7(xy)
i.e. a product of 7 and xy.
The operation used here: Multiplication.
Commutative property of multiplication :-
a\times b=b\times aa×b=b×a for any numbers a and b.
Associative property of multiplication :-
a\times(b\times c)=(a\times b\times c)a×(b×c)=(a×b×c) for any numbers a , band c.
Now, 7(xy)=(7x)y7(xy)=(7x)y [Associative property of multiplication]
=(x7)y=(x7)y [Commutative property of multiplication]
=x(7y)=x(7y) [Associative property of multiplication]
A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 13.2 inches and standard deviation of 2.3 inches. If a sample of 37 items are chosen at random, what is the probability the sample's mean length is greater than 12.1 inches? Round answer to four decimal places.
The probability that the sample's mean length is greater than 6.3 inches is0.8446.
Here, we have,
Given mean of 6.5 inches, standard deviation of 0.5 inches and sample size of 46.
We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.
Probability is the likeliness of happening an event.
It lies between 0 and 1.
Probability is the number of items divided by the total number of items.
We have to use z statistic in this question because the sample size is greater than 30.
μ=6.5
σ=0.5
n=46
z=X-μ/σ
where μ is mean and
σ is standard deviation.
First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.
z=6.3-6.5/0.5
=-0.2/0.5
=-0.4
p value from z table is 0.3446
Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.
Hence the probability that the mean length is greater than 6.3 inches is 0.8446.
Learn more about probability at
brainly.com/question/24756209
#SPJ1
What is the value of A?
What is the value of B?
What is the value of x?
What is the value of y?
What is the value of z?
Answer:
A is -8
B 27
x 3
y 6
z 12
step by step explanation:
find out information and fibonnaci sequence collect information on poatterns found in nature
The Fibonacci series is solved and information on patterns is found
Given data ,
The Fibonacci sequence is a series of numbers where each number is the sum of the previous two numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on. This sequence can be found in many aspects of nature, including:
a)
The branching of trees and plants: The number of branches on a tree or plant often follows the Fibonacci sequence.
b)
The arrangement of leaves on a stem: The number and angle of leaves on a stem often follow a pattern related to the Fibonacci sequence.
c)
The spirals of shells and snail shells: The number of spirals often follows the Fibonacci sequence
Hence , the fibonacci series is solved
To learn more about fibonacci series click :
https://brainly.com/question/29764204
#SPJ1
What’s the answer?????
Use the information given in the figure to find the length SU .
If applicable, round your answer to the nearest whole number.
Answsjksjsujyctfrf6ftf7rrc6cuvuygv7vhvvubh
100 POINTS IF YOU CAN GUESS CORRECTLY PLEASE HELP!
please help with this question
Answer:
B. xy(y - x) (y + x)
Step-by-step explanation:
Solve the equation
v-5/6=-7/8
Evaluate the expression using order of operations 5 + 3 • 2³
Answer:
29
Step-by-step explanation:
first do 2³ 2•2•2=8
5+3•8
so then do 3• 8= 24+5=29
Fill in the blanks.
1. The slopes of perpendicular lines are ______.
2. Parallel lines have the _____ slope.
3. The shortest distance from any point to a line is a ______.
1. The slopes of perpendicular lines are a negative reciprocal
2. Parallel lines have the same slope.
3. The shortest distance from any point to a line is a straight line
What is the slope perpendicular lines?The slope of two perpendicular lines is such that the slope of one line is equal to the reciprocal of the negative slope of the other.
if two lines of slope m and m' are perpendicular their slopes is written as
m = -1/m'
What is the slope parallel lines?Parallel lines grow vertically and flow horizontally at the same rate. they have the same slope, they never cross.
if two lines of slope m and m' are perpendicular their slopes is written as
m = m'
Learn more about slope here:
https://brainly.com/question/29333776
#SPJ1
What balance will be in an account that has an initial deposit of $4600 with an APR of 1.8%? The money is compounded quarterly for 30 years.
help
Answer: i cunfused sorry just relly need the points i have zero sorry hope you find an awser good luck
Step-by-step explanation:
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
for such more question on linear function
https://brainly.com/question/9753782
#SPJ8
I require help on this math
The perimeter of the triangle FGH is 7.
What is perimeter?Perimeter is defined as space around the any two dimensional figure. It is given by the sum of all the sides of the figure.
Given the triangle FGH which is formed by connecting the midpoints of the side of the triangle CDE.
The length of the sides of the triangle are given as, CD=6, DE=4, EC=4.
To find the perimeter of the triangle FGH,
Since FGH are the midpoints of CD,DE and EC respectively.
Then, FH=1/2 DE, FG=1/2EC, GH=1/2DC.
Perimeter of a triangle = sum of the length of sides.
= 1/2(DE+EC+DC)
= 1/2(4+6+4)
Perimeter of a triangle = 7
Hence, the perimeter of the triangle FGH is 7.
Question:
Triangle FGH is formed by connecting the midpoint of the sides of the triangle CDE. The length of the sides is CD=6, EC=4, DE=5. find the perimeter of the triangle FGH.
Learn more about perimeter here:
https://brainly.com/question/29472908
#SPJ9
Solve for x:
2(x-6)=14(3-9)
Answer:
x = -36
Step-by-step explanation:
Subtract 9 from 3.2(x−6)=14⋅−6
Multiply 14 by −6.2(x−6)=−84
Divide each term
Simplify the left side.
Move all terms not containing x to the right side of the equation.
x = -42 + 6
Add -42 & 6
x = -36
unique solution or no solution 4(x+3)-4=8x+10-4x
If f(x)=x² – 4x, what is the value of 2f(a-1)?
The correct value of 2f(a-1) is 2a^2 - 12a + 10.
To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.
Given: f(x) = x^2 - 4x
Substituting (a-1) into the function:
f(a-1) = (a-1)^2 - 4(a-1)
Expanding and simplifying:
f(a-1) = (a^2 - 2a + 1) - (4a - 4)
f(a-1) = a^2 - 2a + 1 - 4a + 4
f(a-1) = a^2 - 6a + 5
Now, we multiply the result by 2:
2f(a-1) = 2(a^2 - 6a + 5)
Expanding:
2f(a-1) = 2a^2 - 12a + 10
Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.
Learn more about function here:
https://brainly.com/question/782311
#SPJ8
For the pyramid below draw the net and then calculate its total surface area using your net. ( picture is uploaded)
The total surface area of the pyramid from the net is 286 square cm
Calculating the total surface area from the netTo calculate the total surface area of a pyramid from its net, you need to add up the areas of all its faces.
The net of a pyramid is a two-dimensional representation of the pyramid, where the edges of the net represent the edges of the pyramid.
In this case, the nets are
Rectangle of: 10 by 7Pair of triangles of: 10 by 12.5, 7 by 13Using the above as a guide, we have the following:
Area = 10 * 7 + 2 * (1/2 * 10 * 12.5 + 1/2 * 7 * 13)
Evaluate
Area = 286
Hence, the surface area is 286 square cm
Read more about surface area at
https://brainly.com/question/26403859
#SPJ1
Cole worked part-time at a amusement park. The amount of money Cole earned for each of six weeks is shown.
$45, $85, $43, $45, $37, $70
Cole then earned $30 for working a seventh week. How were the mean and median affected by working the seventh week?
F. The mean decreased at the median remained the same.
G. The median decreased and the mean remained the same.
H. The median and the mean both remained the same.
J. The mean and the median both decreased.
The solution is, J. The mean and the median both decreased.
What is mean?The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of values. The calculation can be done from raw data or for data aggregated in a frequency table.
here, we have,
The amount of money Cole earned for each of six weeks is shown.
$45, $85, $43, $45, $37, $70
i.e. mean = 54.16
now,
Cole then earned $30 for working a seventh week.
so, now, mean = 50.71
i.e. The mean decreased.
Hence, The solution is, J. The mean and the median both decreased.
To learn more on mean click:
brainly.com/question/8192279
#SPJ1