Answer:
x = 1, y = 4
Step-by-step explanation:
Given
(2x + 3) + i(x - 2y) = 5 - 7i
Equate the real parts on both sides
2x + 3 = 5 ( subtract 3 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Equate the coefficients of the imaginary terms
x - 2y = - 7 , that is
1 - 2y = - 7 ( subtract 1 from both sides )
- 2y = - 8 ( divide both sides by - 4 )
y = 4
A delivery vehicle made a stop at a hospital to deliver a number of packages Before it made its stop, there were 35 boxes. After the stop, there were 28 boxes. If each box weighs 28.3 pounds, how many pounds was the combined weight of the delivery made to the hospital?
Answer:
283lbs
Step-by-step explanation:
PLEASE HELP DUE IN LIKE 5 MINUTES (15 PTS)
8(t+2)-3(t-4)=6(t-7)+8
Please show all work and answer! THANKS SO MUCH!!!
Answer:
T=62
Step-by-step explanation:
Answer:
T= 62
Step-by-step explanation:
First you need to distribute
8t+16-3t+12=6t-42+8
Next you need to simplify the problem
5t+28=6t-34
-5 +34 -5.+34
62=1t
/1. /1
t=62
Sorry if it's not specific enough
G (x) = x^2 - 3x + 2 , find g (-4) - show work
Answer:
30
Step-by-step explanation:
Plug in -4 wherever you see an x. So:
([tex]-4^{2}[/tex])-(3*-4)+2 --> (16) - (-12) + 2 --> 16 + 12 +2 (two negatives make a positive) --> 28 + 2 = 30
5(3.4k - 7) + (3k + 21)
Answer:
20k - 4
Step-by-step explanation:
Step 1: Write expression
5(3.4k - 7) + (3k + 21)
Step 2: Simplify
Distribute 5: 17k - 35 + 3k + 21Combine like terms (k): 20k - 35 + 21Combine like terms (integers): 20k - 14Jimmy wants to serve iced tea at his birthday party. He purchases 14 containers filled with 1.5 liters of tea. Approximately how many gallons of tea did he purchase? (1 gallon is about 3.8 liters)
Answer:
5.5 gallons
Step-by-step explanation:
The answer is 5.5 gallons.
Number of containers = 14
Amount in each container = 1.5 liter
1 gallon = 3.8 liter
Find:Total amount of tea in gallon
Computation:Total amount of tea in gallon = Number of containers × Amount in each container / 3.8
Total amount of tea in gallon = 14 × 1.5 / 3.8
Total amount of tea in gallon = 21 / 3.8
Total amount of tea in gallon = 5.5 liter (Approx.)
Learn more:https://brainly.com/question/20439186?referrer=searchResults
A school district orders 267 boxes of pencils. Each box contains 100 pencils. If the pencils are to be shared evenly amongst 10 classrooms, how manny will each class recive?
Answer:
Each class will receive 2670 pencils
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
help me pleaseeeeeee
Answer:
Step-by-step explanation:
dang thats hard
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The only transformation that would make a shape smaller or bigger is dilation.
Since this dilation is going from bigger to smaller you will have to use a number from in between 0 and 1.
[tex](x,y)-->(\frac{1}{2}x,\frac{1}{2}y)[/tex]
Casey gets paid $2.55 per hour waiting tables. On Friday she earned $72 in tips and made a total of $82.20. How many hours did she work Friday?
What two ratios are equivalent to 10 : 12
Answer:
5/6
Step-by-step explanation:
10:12 can also be expressed as a fraction which is 10/12 then simplify, divide each number by 2 and you will get 5/6
Pls mark as brainliest, thank u and have a wonderful day.
The polynomial p is graphed. What is the remainder when p(x) is divided by (x-3)? Your answer should be an integer.
The remainder when p(x) is divided by (x-3) is 1
RemaindersThe remainder of a polynomial can be gotten from graphs and by using the remainder theorem
Divisors
The divisor of an expression is the number or expression that divides an expression
The divisor of the polynomial is given as:
x - 3
Set the above divisor to 0
[tex]x - 3 = 0[/tex]
Add 3 to both sides of the equation
[tex]x = 3[/tex]
Next, we determine P(3) from the graph.
From the graph, we have:
[tex]P(3) = 1[/tex]
Hence, the remainder is 1
Read more about remainder theorems at:
https://brainly.com/question/13328536
Answer:
1
Step-by-step explanation:
trust me I did the doofus test
Estimate $12.28+$0.82 by rounding to the nearest whole number
Answer:
$13
Step-by-step explanation:
Answer:
$13.00
Step-by-step explanation:
Plz help I will mark brainlest
Answer:
2
Step-by-step explanation:
since 1 inch is 100 miles, that means 200 miles would equal 2 inches
Andre is flying a kite. Given AC = 18 inches and BE = 9 inches, calculate the area of the kite.
Answer:
b
Step-by-step explanation:
The area of a kite can be found, given the lengths of its diagonals
The correct option for the area of the kite ABCD is option C;
C) 162 square inches
The reason the selected value is correct is as follows:
The given parameters in the kite ABCD are;
AC = 18 inches
BE = 9 inches
The required parameter:
The area of the kite
Solution:
The area of a kite is given by the product of the lengths of the diagonals divided by 2
Therefore, we have;
[tex]\mathbf{The \ area \ of \ the \ kite \ ABCD} = \dfrac{Length (AC)\times Length (BD)}{2}[/tex]
The length of BD = BE + DE
BE = DE Given that AC is a perpendicular bisector of BD, by the properties of a kite
∴ BD = BE + BE = 2 × BE by substitution property
Therefore;
[tex]The \ area \ of \ the \ kite \ ABCD = \mathbf{\dfrac{Length (AC)\times 2 \times Length (BE)}{2} }= AC \times BE[/tex]
Which gives;
The area of the kite ABCD = 18 inches × 9 inches = 162 square inches
Learn more about the area of geometric shapes here:
https://brainly.com/question/16707557
The owner of a flower shop sell 17 roses for $13 What is the cost in dollars per rose? Round your answer to the nearest hundreth Brandmart is selling 8 glue sticks for $3.20. What is the cost per glue stick?
Consider the finite strings of length 100 drawn from the alphabet of 4 letters {a,b,c,d}. How many of those strings use no more than two different letters?
Answer:
[tex]2^{100} * 6[/tex]
Step-by-step explanation:
length of finite strings = 100
number of letters : 4 { a,b,c,d }
Determine the number of strings that use ≤ two different letters
since the number of letters is 4 and we are allowed to make use of at most 2 different letters
Then the number of ways will be : [tex]^{4} C_{2}[/tex] = 6 ways
now considering the length of the Finite strings
The number of strings that use no more than two different letters
= [tex]2^{100} * 6 ways[/tex]
An account is opened with an initial deposit of $700 and earns 3.3% interest compounded semi annually. What will the account be worth in 3 years
Answer:
772.22
Step-by-step explanation:
A=$700(1+0.0332)2(3). Simplify using the order of operations: A=$700(1.0165)6=$700(1.103174712)≈$772.22.
I NEED HELPPP ASAPPPPP I WILL GIVE BRAINLIESTTTT!!!!!!
Answer:
It is a function because the line does not pass through X two times.
Step-by-step explanation:
Answer:
it is not a function since the pattern is broken and does not stay symetrical or as a pattern
Step-by-step explanation:
On a certain day, 525 people
signed up to play softball. If 15 players
are assigned to each team, how many
teams can be formed?
Answer:
35
Step-by-step explanation:
How many 6 1/4 inch pieces of fabric can be cut from a 75 inch rool
Answer:
12
Step-by-step explanation:
75 divided by 6 1/4 is 12.
What is the equation of the line described below written in slope-intercept form?
the line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0
y=-3x+1
y= 2x-1
y=2x + 1
Answer:
y = - (1/2) x + 1
Step-by-step explanation:
The given equation of the line is:
2 x - y - 7 = 0
solving for y gives:
2 x - 7 = y
so y = 2 x - 7
where the slope is "2", which is fundamental to know in order to construct a perpendicular line to it by using the "opposite of the reciprocal" of the given slope.
So in our case, the slope of the perpendicular line must be: "- 1 / 2" (negative one half).
now we can build the equation of the new line, using this slope and requesting the point (4, -1) to be in it:
y = - (1/2) x + b
-1 = - (1/2) (4) + b
-1 = - 2 + b
solve for b:
b = 2 - 1 = 1
Then the equation of the perpendicular line is:
y = - (1/2) x + 1
y= -1/2 x+1
Step-by-step explanation:
2x-y-7=0
2x-7=y
y=2x-7
Helppp pleaseeee sssjejejheje
Answer:
i cant see all of it
Step-by-step explanation:
A model train is 153.4 inches long. Each car in this train is 25.8 inches in length. How many cars are in the train
Answer:
5
Step-by-step explanation:
I don’t understand this question.
Answer:the last one
Step-by-step explanation:
and is this right or do I change to it ?
The probability that a college graduate will find a full time job within three months after graduation from college is .27. Three college students, who will be graduating soon, are randomly selected. What is the probability that all three of them will find full-time jobs within three months after graduation from college
Answer:
The probability that all three of them will find full-time jobs within three months after graduation from college is 0.0197.
Step-by-step explanation:
Let X denote the number of college graduates who will find a full time job within three months after graduation from college.
A random sample of 3 college students, who will be graduating soon, are selected.
The probability of X is, p = 0.27.
Each student is independent of the other to find a full time job within three months after graduation from college.
The random variable X follows a binomial distribution with parameter n = 3 and p = 0.27.
Compute the probability that all three of them will find full-time jobs within three months after graduation from college as follows:
[tex]P(X=3)={3\choose 3}(0.27)^{3}(-0.27)^{3-3}[/tex]
[tex]=1\times 0.019683\times 1\\=0.0197[/tex]
Thus, the probability that all three of them will find full-time jobs within three months after graduation from college is 0.0197.
Jane is studying the rate at which the sale of a particular brand of chocolate has increased over the years. The graph below shows the number of bars sold, y, in thousands, after x years since the year 2000:
graph of y equals 15 multiplied by 1.1 to the power of x
What does the y-intercept of the graph represent?
a Price of a bar of chocolate
b Number of bars sold in 2000
c Number of bars sold before 2000
d Rate of increase in the sale of chocolates
Answer:
B. number of bars sold in chocolate
Step-by-step explanation:
i took the test
a square had a side length of 9cm. what is the area?
Answer:
81cm^2
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
Let's do a quick refresher on how to find area.
l = length
w = width
a = area
a = l(w)
Since one side is 9cm, and all the sides are equal, you multiply 9x9.
Nine times nine is 81.
Hope it helped!
which number is greater 10 cubed or 30 squared
Answer:
10^3= 1000 and 30^2 = 900
Step-by-step explanation:
solve for X PLEASEEE
2x-3+3=x+5
Answer:
X=5
Step-by-step explanation:
3+3 is the example and x+5 will be 5+5 since it will be the same. So 2 5
Answer:
X=5
Step-by-step explanation:
hmmmmmm ok
2x-3+3=x+5 You need to even out each side of the equation so
2x=x+5
2x5 is equivalent to 5+5 so x=5.
Sallie read an average of 1.5 books each week during the year.
Write an equation that represents the amount of books that she read (y) per week (x).
Answer:
y=1.5x
78
Step-by-step explanation:
y=1.5x
y=1.5(52)
y=78