Answer:
-i
Step-by-step explanation:
'i' is the square root of -1, so i^2 would be -1. so now:
[tex]i^3 = (i^2)i = (-1)i = -i[/tex]
Solve the given equation for X.
X/3 + X/7 = 5/3
Answer: x = 3.5
Step-by-step explanation:
Given
x/3 + x/7 = 5/3
Determine the Least Common Multiple (LCM) of the denominators
First 10 multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
First 5 multiples of 7: 7, 14, 21, 28, 35
Since 21 is the first overlapping term in both lists, therefore, 21 is the LCM of 3 and 7.
Multiply Least Common Multiple (LCM) of the denominators on both sides
21 (x/3 + x/7) = 21 × 5/3
Expand parentheses and apply the distributive property
7x + 3x = 35
Combine like terms
10x = 35
Divide 10 on both sides
10x / 10 = 35 / 10
[tex]\boxed {x=3.5}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Write 0.2 as a fraction in simplest form.
Answer:
It is 1/5
Step-by-step explanation:
0.2 is a decimal ( tenth value [1/10] )
[tex]0.2 = \frac{2}{10} [/tex]
divide the fraction ( numerator and denominator ) by 2:
[tex] = \frac{2 \div 2}{10 \div 2} \\ \\ = \frac{1}{5} [/tex]
n decreased by 35% is 117
find n
show solutions please
Answer:
According to question, we get the following equation:
n-35% = 117
n-35/100 = 117
(100n-35)/100 = 117 ........... Took LCM
100n-35 = 117*100
100n-35 = 11700
100n = 11700-35
100n = 11665
n = 11665/100
n = 116.65 .......... ANSWER
4. Separate 77 into two parts so that one part is 4 less than twice as much as the other. Find each part.
Answer:
50,27
Step-by-step explanation:
let the parts be x and y
x+y=77
x=2y-4
substitute
2y-4+y=77
3y=77+4
3y=81
y=81/3=27
x=2×27-4=54-4=50
How many sides does an octagon have
A new business had a profit of $6,500 in the first month, a loss $1,200 in the second month and a loss of $1,300 in the third month. What is the net profit or net loss over the first three months
Answer:
$4000 net profit
Step-by-step explanation:
Profit adds to the net revenue, while loss subtracts from it.
So 6500 is positive but 1200 and 1300 are negative.
+6500 - 1200 - 1300 = 5300 - 1300 = 4000
$4000 profit
After a price increase of 20% the cost of entry to a museum rose to $25.80. Find the original
entry fee
Answer:
21.5 dollars
Step-by-step explanation:
Suppose the original price is x, then it became x+ x/100*20=1.2x
1.2x=25.8
x=21.5
Maria is 6 years older than her sister Emily. Emily is 15 years old. If M= Maria's age, then the equation M-6=15 would describe the problem. What inverse or opposite operation would you use to solve the equation?
A. Add 6 to both sides
B. Subtract 6 from both sides
C. Multiply both sides by 6
D. Divide both sides by 6
Pls help fast, with steps
Answer:
answer is D
Step-by-step explanation:
PAR = 25
RPA= 25
PRA= 130
PRQ = 180- 130 = 50
PRQ =PQR = 50
X= 180 +(50 +50) =80
Convert Decimal to Fraction
Answer:
1. 0.832
832/1000
Can be simplified as
416/500
104/125
2. 1.2
12/10
Can be simplified as
6/5
3. 0.1
1/10
4. 0.459
459/1000
5. 1.51
151/100
6. 0.9
9/10
Which were the required answers
The cafe employees 20 staff 12 of them are men what is the percentage of women
PLEASE HELP MEE
Answer:
40 % are women
Step-by-step explanation:
20 - 12 = 8 / 20
Construct a line that is perpendicular to
AB and passes through point X.
-I really need help I’m crying at the moment :/
Find the midpoint of the segment
Answer:
Mid point
x = 7 + (-3)/2. y = -3 + 11/2
x = 7-3/2. y = 8/2
x = 2. y = 4
Midpoint = (2,4).
5+(-2)= ? Please help! I don’t know the answer
Answer:
It will be 3 because its take away hope this helped
2. Which equation represents the line whose slope is 6 and whose y-intercept is 2?
A. y = 2x + 6
B. 2y + 6x = 0
C.y= 6x + 2
D.y + 2x = 6
Step-by-step explanation:
option C is the answer.
hope it helps
27. Write an expression for the perimeter of the figure as the sum of the
lengths of its sides. Then simplify your answer.
The perimeter of the figure is 4a.
What is the perimeter of a polygon?The perimeter of a polygon is defined as the addition of the lengths of the polygon's each side.
The perimeter of a polygon = sum of all sides
To determine an expression for the perimeter of the figure as the sum of the lengths of its sides.
The perimeter of the figure as
The perimeter of the figure = sum of all sides
⇒ 2(a-b) + a +2b +2c + a - 2c
Rearrange the likewise terms in the expression
⇒ 2a - 2b +2a + 2b
Apply the arithmetic operations in the expression
⇒ 4a
Thus, the perimeter of the figure is 4a.
Learn more about the perimeter here:
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Kelly works two jobs. She usually works at a retail store for 7 hours during the day and is paid $23.46 per hour by the store. In the evening she works at a restaurant as a manager for 8 hours and is paid $7.47 per hour, How much does she make on average per hour for the day?
Answer:
$14.93
Step-by-step explanation:
she works 7+8=15 hours.
she earns in total per day
7×$23.46 + 8×$7.47 = $223.98
on average she makes per hour
223.98 / 15 = $14.93
She make on average 223.98 per hour for the day.
Given that,
She usually works at a retail store for 7 hours during the day and is paid $23.46 per hour by the store.
In the evening she works at a restaurant as a manager for 8 hours and is paid $7.47 per hour.
We have to determine,
How much does she make on average per hour for the day.
According to the question,
She usually works at a retail store for 7 hours earn = $23.46 per hour.
She works at a restaurant as a manager for 8 hours = $7.47 per hour
Total number of hours she works = 7hours + 8hours = 15hours
Therefore,
She make on average per hour for the day =
7×$23.46 + 8×$7.47 = $223.98
Hence, she make on average 223.98 per hour for the day.
To know more about Addition click the link given below.
https://brainly.com/question/24442197
An electrician charges $32 per home visit plus an additional $22.75 per hour. He arrives at a costumers home at 9:00am. The final bill for the visit is $128.69. At approximately what time did the electrician Lea e the costumers home?
Answer:
well since you said 32 per home since that wasnt a hour he was there, i took off 32 from the 128.69 and got 96.69 and divided that by 22.75 and got 4.2 hours but if that's not what you are talking about ill also give the answer for 128.69 divided by 22.75 and the answer for that is 5.6
Step-by-step explanation:
so just add 4.2 or 5.6 to hours and you will get you question at what time he left
What Types of Dogs Are These!?!?!??!??!??!??!??
1.
2.
3.
4.
I put this for math so.......... What is 3+-13976?
is 4.49 a rational number
Answer:
yes it is
rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). It can be written as a fraction in which the the top number (numerator) is divided by the bottom number (denominator).
plsmark me brilliant
Ms. Ferris owns a barn 12 yards long
Answer:
V = 1188 yd^3
Step-by-step explanation:
The volume or a rectangular prism is given by V = l*w*h V = 12 (9) * 11 V = 1188 yd^3
Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/6458403-msferris-owns-a-barn-12-yards-long-9-yards-high-and-11-yards.html
I need help please please please
Answer:
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
the yearly membership to the san diego zoo for a family with 2 adults and 2 children is $144. the regular admission to the zoo is $18 for each adult and $8 for each child. how many times should such a family plan to visit the zoo in a year to make a membership less expensive than paying regular admission?
Are (2,9) and (-3,-6) both on the line y = 4x + 6? If not, find an equation for the line that does pass through both points.
Answer:
no, y=3x+3
Step-by-step explanation:
plug both points into the equations:
9=4*2 +6 -> 9=8+6, doesn't work-6=4(-3)+6 -> -6=-6, worksone works but the other doesn't so now we find a line through both points
use the formula (y_2-y_1)/(x_2-x_1) to find the slope:
(-6-9)/(-3-2)=-15/-5=3y=3x+b, plug in a point to find b:
9=3(2)+b9=6+bb=3y=3x+3Inverse function
G(x)=2x+2
Answer:
Step-by-step explanation:
y = 2x + 2
x = [tex]\frac{y-2}{2}[/tex]
y = [tex]\frac{x-2}{2}[/tex]
[tex]g^{-1}[/tex] (x) = [tex]\frac{x-2}{2}[/tex]
geometry help pls
How do you say DE = FG?
can someone explain why
Answer:
first option
Step-by-step explanation:
congruency has its own symbol and it's a ~ top of a = sign. and the expression doesn't have the symbol. so we can eliminate two options out meaning it's a.
The correct answer would be an option (A) the measure of segment DE is equal to the measure of segment FG.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
SSS stands for Side-Side-Side criterion. According to this, two triangles are congruent if three sides of a triangle are equal to the corresponding sides of the other triangle.
SAS stands for Side-Angle-Side criterion. According to this, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.
Given that, DE = FG
Congruency is represented by its own symbol, which is a ~ sign on top.
Here, Segment FG's measure is equal to segment DE's measure.
There is no symbol assigned to the expression. Since two possibilities are no longer an option, it must be Option (A).
Hence, the measure of segment DE is equal to the measure of segment FG
Learn more about of congruent triangles here:
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how can i solve it?
8=-6n-2n
Answer:
n=-1
Step-by-step explanation:
Writing out the problem
8=-6n-2n
Simplifying "-6n-2n," which is -8n
8=-8n, or -8n=8
-8n=8
Divide both sides by -8
-8n/-8=8/-8
So, therefore, you get n=-1.
Hope this helps! Enjoy your day, and take care!
i hate math ( ◠‿◠ )
help me PLS
Answer:
g=Xs+t
Step-by-step explanation:
please love math
to learn math, to look for topics you don't know in the internet
hi i need help with this thank you
Answer: See the diagram below
The table moves up and to the right
=========================================================
Explanation:
The lower right leg will move along that diagonal line shown on the right side.
Since the table is solid and not flexible, all of the other 3 points will move in the same pattern.
What results is what you see in the diagram below. The table moves to the right some distance and up some (other) distance along that diagonal path.
Note how the lower right leg is always on that path, since that path itself is the result of scraping that leg against the floor.
Also, I'm assuming your teacher wants purely a translation and nothing else. That means the table hasn't been rotated in any fashion.
How many HOURS AND MINUTES are in 135 mins? Explain how you found out the answer as you would to a kid in 2ND GRADE. (Use simple words)
Answer:
There are 2 hours and 15 minutes in 135 minutes
Step-by-step explanation:
We know that 1 hour = 60 minutes, 2 hours is 120 minutes, 3 hours is 180 minutes and so on. What amount of hours is 135 closest too? 2 hours.
Now that we know the amount of hours there is in 135 minutes, we need to find the rest of the minutes. To find this, we need to use subtraction. Subtracting [tex]120[/tex] from [tex]135[/tex] gives us [tex]15[/tex]. So, [tex]135[/tex] minutes is equal to 2 hours and 15 minutes.
Hope this helped you (and others) out! If this answer was too complicated for you, please tell me and I will try to make it more easier to understand!