Answer:
The first example is adding fractions. The last is Subtraction.
Step-by-step explanation:
The first step is finding the LCD or Least Common Denominator. In this case, we multiply both denominators by each other 2 x 3 = 6 before we proceed.
Secondly, we multiply the bottom denominator on the right (which is three) and multiply it by numerator and denominator on the left.
[tex]\frac{1}{2}[/tex] x 3= Multiply the numerator and denominator and you should get this
[tex]\frac{3}{6}[/tex]
Next multiply [tex]\frac{1}{3}[/tex] by 2. You should get [tex]\frac{2}{6}[/tex]
The final step is just to add the numbers on the very top. You should get [tex]\frac{5}{6}[/tex]
*Also note, pay attention to your question. Some may require decimal form or simplification.
1. [tex]\frac{1}{2} + \frac{1}{3} = \frac{5}{6}[/tex]
2. [tex]\frac{3}{6}[/tex] +[tex]\frac{2}{6}[/tex] = [tex]\frac{5}{6}[/tex]
3. The answer is [tex]\frac{5}{6}[/tex]
_________________________________________
The next example is subtraction.
Find the LCD.
Next, start by multiplying [tex]\frac{3}{5}[/tex] by 3. Penultimately, multiply [tex]\frac{1}{3}[/tex] by 5. Finally, subtract 9-5 to get 4. The answer should be [tex]\frac{4}{15}[/tex]
1. [tex]\frac{3}{5} - \frac{1}{3}[/tex]
2. [tex]\frac{9}{15}[/tex] - [tex]\frac{5}{15}[/tex] = [tex]\frac{4}{15}[/tex]
is y= -2x proportional
Answer: yes
Step-by-step explanation:
I need help please I don’t understand this question
Answer:
KE = 100 J
Step-by-step explanation:
The question is asking you to use the formula with the values ...
m = 8 kg . . . . . this 'm' stands for mass
v = 5 m/s . . . . this 'm' stands for meters
Putting these values into the formula, we have ...
KE = 1/2(8 kg)(5 m/s)² = 100 kg·m²/s²
The units are equivalent to the derived SI unit "joules", abbreviated J.
The kinetic energy of the 8 kg mass is 100 J.
29023789236+8974937077834758371=
Your meal cost $20. You want to leave a 10% tip. How much money do you leave for the tip?
Answer:
$2
Step-by-step explanation:
20×0.10=2
There are 40 students in a class. The probability that a student passes a Mathematics test is 3/5. How many students are likely to pass the Mathematics test? *
Answer:
[tex] \frac{3}{5} = \frac{x}{40} \\ x = \frac{3 \times 40}{5} = \frac{120}{5} = 24[/tex]
Answer:
24
Step-by-step explanation:
3/5 multiplied by 40 = 24
A. Write the first four terms of the sequence, given the nth term formula
1. an=2n+3
2. an=n2-1
B. Supply the missing term for each sequence
1. 57,__,37,__17
2. __,__,0,12,24,36
3. -4,8,__16,-20
C. Find the general rule or nth term for each sequence
1. 7, 12, 17, 22,...
2. 2, 6, 12, 20,...
D. Determine whether each sequence is arithmetic or not. Find the common difference for each arithmetic sequence
1. 4, 8, 12, 16,..
2. 13, 10, 7, 4,...
3. -10, -8, -6, -4,..
4. 1, 6, 8, 11, 12,..
5. 5,6,12,13
Step-by-step explanation:
A.let n be 1
a1=2(1)+3
T1=5
let n be 2
2(2)+3
T2=7
T3=2(3)+3
=9
T4=2(4)+3
=11
A. For the sequence given by the nth term formula an = 2n + 3, the first four terms are:
a1 = 2(1) + 3 = 5
a2 = 2(2) + 3 = 7
a3 = 2(3) + 3 = 9
a4 = 2(4) + 3 = 11
For the sequence given by the nth term formula an = n² - 1, the first four terms are:
a1 = 1² - 1 = 0
a2 = 2² - 1 = 3
a3 = 3² - 1 = 8
a4 = 4² - 1 = 15
B. The missing terms for the sequence 57, 47, 37, 27, 17 are:
57, 47, 37, 27, 17
The missing terms for the sequence -12,-6, , 0, 12, 24, 36 are:
-12, -6, 0, 12, 24, 36
The missing terms for the sequence -4, 8,20, , 16, -20 are:
-4, 8, 20, 16, -20
C. The general rule or nth term for the sequence 7, 12, 17, 22,... is:
an = 5n + 2
The general rule or nth term for the sequence 2, 6, 12, 20,... is:
an = n² + 1
D. The sequence 4, 8, 12, 16,.. is an arithmetic sequence with a common difference of 4.
The sequence 13, 10, 7, 4,... is an arithmetic sequence with a common difference of -3.
The sequence -10, -8, -6, -4,.. is an arithmetic sequence with a common difference of 2.
The sequence 1, 6, 8, 11, 12,.. is not an arithmetic sequence as there is no common difference between consecutive terms.
The sequence 5, 6, 12, 13,... is not an arithmetic sequence as there is no common difference between consecutive terms.
To know more about sequence here
https://brainly.com/question/30262438
#SPJ6
Mr. Johnson gave the sales clerk $60 for 3 sweaters that he purchased. The clerk handed him $7.56 in change. Each sweater cost the same amount. What was the cost for each sweater? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. . 00 Olo 9 9 O $17.48 O $17.53 O $22.52 O $26.22
Convert 0.1lb/day to oz/wk
Answer:
1 pound (mass) per day (lb/d) of mass flow=112.00 ounces (mass) per week (oz/wk) in mass flow
Step-by-step explanation:
Joel is considering putting a $
$3500 laptop purchase on his
credit card, which has an interest rate of
4.95% compounded monthly. How long will it take him to pay off the purchase if he makes monthly
payments of $65?
Round your answer to the nearest tenth of a year.
Answer: $53.84
Step-by-step explanation: 3500 divided buy 65
A 6-foot piece of aluminum wire costs $49.68. What is the price per inch?
Answer:
0.69
Step-by-step explanation:
72 inches in 6 feet
72 divided by 49.68=0.69
Hope this helps
Write an explicit rule to represent the sequence:
20, 24, 28, 32, 36,...
Answer:
add 4
Step-by-step explanation:
Can someone help me out with this ?
Answer:
i need points plz
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(3) = 2*x - 4 = 2*3 - 4 = 6 - 4 = 2
g(5) = -4x + 3 = -4*5 + 3 = -20 + 3 = -17
What is the result of the division?
1,016 42 = ?
O 24 R8
O 24 R12
O 25 R6
O 25 R26
Answer:
account for the majority of O-rings produced, namely Nitrile, EPDM and ... For the most current information, contact the O-Ring Division. ... O-ring resulting in “nibbling” (see Zatkoff Product catalog, ... 72 0,23. 30 0,25. 89 0,25. 47 0,25. 07 0,25. 64 0,25. 24 0,25. 82 0,30. 42 0,30. 99 0, ... JASO-1016 ... R12,5-591 ... R26,5-605.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Select the correct answer. What is the factored form of m6 − 64n3? A. (m2 + 4n)(m4 − 4m2n + 16n2) B. (m − 4n2)(m2 + 4mn2 + 16n4) C. (m + 4n2)(m2 − 4mn2 + 16n4) D. (m2 − 4n)(m4 + 4m2n + 16n2)
Answer:
D.
Step-by-step explanation:
(m^2- 4n)(m^4+4m^2n+16n^2)
Option D is our correct answer.
i.e (m² - 4n) ([tex]m^{4}[/tex] + 4nm + 16n²).
Given,
[tex]m^{6}[/tex] - 64n³
We need to find the factored form of this.
And select the correct options.
A. (m2 + 4n)(m4 − 4m2n + 16n2)
B. (m − 4n2)(m2 + 4mn2 + 16n4)
C. (m + 4n2)(m2 − 4mn2 + 16n4)
D. (m2 − 4n)(m4 + 4m2n + 16n2)
What is the formula of (a³ - b³)?It is given as:
( a - b ) ( a² + ab + b² )
Find the factored form [tex]m^{6}[/tex] - 64n³
We can write this as,
[tex](m^{2})^3[/tex] - 4³n³
(m²)³ - (4n)³
This is in the form of (a³ - b³).
Applying this formula.
Now,
(m² - 4n) ((m²)² + 4nm + (4n)²)
(m² - 4n) ([tex]m^{4}[/tex] + 4nm + 16n²)
Thus Option D is our correct answer.
i.e (m² - 4n) ([tex]m^{4}[/tex] + 4nm + 16n²).
Learn more about how to factorize an equation here:
https://brainly.com/question/21208351
#SPJ6
Assume these were weekly. Christopher worked 44 hours at $9 a hour. Taxes were 20%. How much money was left?
The area of a square is given by A= s2 where s is the length of each side of the square if the area of a square room is 64 square meters what is the length of 1 side of the room in meters
9514 1404 393
Answer:
8 m
Step-by-step explanation:
Using the given information, we know that ...
64 m^2 = A = s^2
(8 m)^2 = s^2
8 m = s
The length of one side of the room is 8 meters.
PLEASE HELP ME!!!!!!!!!!
9. Standardized Test Practice Vanessa needs of a length
of board to build a birdhouse. If she has 6 boards, how many
birdhouses can she make?
B 6
A 33
C 10
D 18
Exponent 4 Square root of 27
Answer:
27 1/4
Step-by-step explanation:
use n√ax = a x/n to rewrite 4√27 as 27 1/4.
The monthly utility bills in a city are normally distributed, with a mean of $ and a standard deviation of $. Find the probability that a randomly selected utility bill is (a) less than $, (b) between $ and $, and (c) more than $. (a) The probability that a randomly selected utility bill is less than $ is 0.0076. (Round to four decimal places as needed.) (b) The probability that a randomly selected utility bill is between $ and $ is 0.6859. (Round to four decimal places as needed.) (c) The probability that a randomly selected utility bill is more than $ is 0.0764. (Round to four decimal places as needed.)
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]P(X < 65) = 0.003467[/tex]
b
[tex]P(86 < X < 110 )= 0.63928 [/tex]
c
[tex]P(X > 120 ) =0.062024[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = \$ 100[/tex]
The standard deviation is [tex]\sigma = \$ 13[/tex]
Generally the probability that the monthly utility bills is less than $65 is mathematically represented as
[tex]P(X < 65) = P(\frac{X - \mu }{\sigma } < \frac{65 - 100 }{13 } )[/tex]
Generally
[tex]\frac{X - \mu }{\sigma } = Z (The\ standardized \ value \ of\ X )[/tex]
So
[tex]P(X < 65) = P(Z < -2.70 )[/tex]
From the z-table
[tex]P(Z < -2.70 ) = 0.003467[/tex]
So
[tex]P(X < 65) = 0.003467[/tex]
Generally the probability that a randomly selected utility bill is between $86 and $110 is mathematically represented as
[tex]P(86 < X< 110 )= P( \frac{86 -100}{ 13} < \frac{X - \mu}{\sigma } < \frac{86 -100}{ 13} )[/tex]
=> [tex]P(86 < X < 110 )= P( \frac{86 -100}{ 13} < Z < \frac{110 -100}{ 13} )[/tex]
=> [tex]P(86 < X < 110 )= P(-1.08 < Z < 0.77 )[/tex]
=> [tex]P(86 < X < 110 )= P(Z < 0.77 ) - P(Z < -1.08 ) [/tex]
From the z-table
[tex]P(Z < 0.77 ) = 0.77935[/tex]
and
[tex]P(Z < -1.08 ) = 0.14007[/tex]
So
[tex]P(86 < X < 110 )= 0.77935 - 0.14007 [/tex]
=> [tex]P(86 < X < 110 )= 0.63928 [/tex]
Generally the probability that the monthly utility bills is more than $120 is mathematically represented as
[tex]P(X >120 ) = P(\frac{X - \mu }{\sigma } > \frac{120 - 100 }{13 })[/tex]
=> [tex]P(X > 120 ) = P(Z > 1.538 )[/tex]
From the z-table
[tex]P(Z > 1.54 ) = 0.062024[/tex]
So
[tex]P(X > 120 ) =0.062024[/tex]
choices :
A. 40.1 meters
B. 12.3 meters
C. 19.2 meters
D. 47 meters
Answer:
25^2=16^2 +d^2
d^2=625-256
d=19.2
option C
solution of 20mn/60m
Answer:
1/3000 or 0.000333....
Step-by-step explanation:
I think you mean 20mm / 60 m
1 mm = 0.001m
So the division becomes:
(0.001* 20) / 60
= 0.02 / 60
= 0.00033.....
or as a fraction it is
2/6000
= 1/3000.
3xy+p=12
Find y when x=8 and p= 2
Find p when x=5 and 9= -8
he picture shows the length of an American alligator. What is the length of the alligator rounded to the nearest tenth?
Answer:
I do not see the picture of the alligator
Step-by-step explanation:
so therefore i do not the lenght of the alligator
si un submarino esta a - 83 metros a nivel del mar, sube a -15 cuantos metros subio?
Answer:
El submarino subió 68 metros
Step-by-step explanation:
Desplazamiento
Si un cuerpo cambia de posición desde X1 hasta X2, su cambio de posición se calcula como:
X=X2-X1
En el caso de nuestro submarino, su posición original era a X1=-83 m, luego sube a la posición X2=-15 m, así que su cambio de posición o desplazamiento es:
X=-15-(-83)=-15+83=68 m
El submarino subió 68 metros
Eli’s Electronics has a 60-inch television on sale this week for $798. The television is regularly priced for $1,050. By what percent did the price of the television decrease?
PLS HELP ME! Write a rule (function) for the data in this table.
Answer:
y = x - 3
How I know I'm correct:if you plug in the numbers from the table, it checks out.
y = x - 3
0 = 3 - 3
0 = 0
y = x - 3
1 = 4 - 3
1 = 1
y = x - 3
2 = 5 - 3
2 = 2
and so on
How many baby elephants were weighed?
Please help as soon as possible.
Answer:
just remember that each baby elephant weight 3/8 of a ton
and all together weight 3/4 of a ton
so how many baby elephants will be ,let be x a unknown number of them
so
x*(3/8) =3/4
because multiplying the number of baby elephants with their body weight gives the total weight of all baby elephants.
so
x=(3/4)*(8/4)=2
the number of baby elephants is 2
Solve: Xber the robot has a problem: 3(x+3)-9, Xber's answer is 3x-6, is his answer true or false (right or wrong)?
Answer:
He is wrong.
Step-by-step explanation:
[tex]3(x+3)-9\\\\3x+9-9\\\\\boxed{3x}[/tex]
Hope this helps
Write the equation of a line with a slope of 2 that goes through the point (-4,3)
Answer:
y= 2x + 11
Step-by-step explanation: Hopefully that helps ;)
