What are the values of x and y if this equation is true?
22(x + yi) + (28 + 4i) 72 – 62i
Answer:
x = 2
y = -3
Step-by-step explanation:
The given equation is,
22(x + yi) + (28 + 4i) = 72 - 62i
By solving this equation further,
22x + 22yi + 28 + 4i = 72 - 62i
(22x + 28) + (22y + 4)i = 72 - 62i
Now both the sides of the equation is in the form of complex number,
By comparing real and imaginary parts given on both the sides,
22x + 28 = 72
22x = 72 - 28
22x = 44
x = 2
22y + 4 = -62
22y = -62 - 4
22y = -66
y = -3
Therefore, x = 2 and y = -3 are the values for which the given equation is true.
The table and statement show the hours worked and the amounts paid for two workers.
A table labeled Worker A Earnings. It contains a row for Hours worked with the amounts 7, 12, 21, 33, 40, and a row for Amount paid with the amounts 87.50, 150, 262.50, 412.50, and 500.
Worker B earns $11.25 per hour
Which statements about the rates of pay for the two workers are true?
Select each correct answer.
Worker A earns less per hour than Worker B.
Worker B earns more after 10 hours than worker A.
Worker A earns $12.50 per hour.
After 20 hours of work, Worker A earns more than Worker B.
1st statement is correct
2nd statement is correct.
finding the average hours worker A does and then the average amount paid i got
average hrs = 22.6 hrs and average amount paid= $250
so comparing them to one hr i got the amount paid to worker A in one hr which is $1.11
so compare to worker B earnings and find the true statements
Answers:
Worker A earns $12.50 per hour.After 20 hours of work, Worker A earns more than Worker BProof:
( Down below!! )
[ I hope this helps!!! ]
-GXLDIE <3
A new television set was recently purchased for the common room in a Residence Hall for $408.00 including tax. If the tax rate is 2% , find the price of the television set before taxes.
Answer:
399.84
Step-by-step explanation:
408.00 x .98 (2% reduction from 100) = 399.84
if you can choose one scoop of ice cream and one topping, how many different sundaes can you make?
Answer:
I believe there is something wrong with ur question.
Identify the y-intercept
A. 0-2
B. 0-3
C. 0-4
D. 6-2
Evaluate. 68.14 + 0.0007
Answer:
68.1407 us the answer
Step-by-step explanation:
Just add
If f(x)=4^x-8 and g(x) =5x+6, find (f+g)(x)
Answer:
C
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), then
f(x) + g(x)
= [tex]4^{x}[/tex] - 8 + 5x + 6 ← collect like terms
= [tex]4^{x}[/tex] + 5x - 2 → C
You go to the store and notice the people standing in line. 7 adults and 4 children. If this ratio stays the same and there 55 people in the store. how many would be children?
Answer:
20
Step-by-step explanation:
7+4=11
11*5= 55
4*5=20 :)
The number of children and adults will be 35 and 20, respectively.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
You go into the store and observe the folks in queue. There are 7 adults and 4 children. If this ratio remains constant and there are 55 people in the store.
7x / 4x = constant
Then the equation is given below.
7x + 4x = 55
11x = 55
x = 11
Then the number of adults is given as,
7x = 7 (5) = 35
Then the number of children is given as,
4x = 4 (5) = 20
The number of children and adults will be 35 and 20, respectively.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
Anne owns a used car lot and in order to get cars to sell, she buys used cars at an
auction place. It costs $200 to attend the auction and she buys used cars at
$2,000 each. Last Tuesday, she purchased 10 cars. Which of the following
functions correctly represents this situation in function notation?
f(x) = 10x + 200
f(x) = 200x + 2,000
f(x) = 2,000x + 10
f(x) = 2,000x + 200
Answer:
It would be 2,000x+200
Step-by-step explanation:
okay it costs $200 to attend so that's a cost you are going to have to pay regardless. The $2,000 depends on how many cars you buy. So it would be 2,000 (times how ever many cars you buy) plus the $200.
PLEASE ANSWER ASAP!! WILL MARK BRAINLYIST
Find the value of the following expression.
Answer: 25 I believe
Answer:
25
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
a^0 = 1 . . . for a≠0
__
[tex](2^8\cdot5^{-5}\cdot19^0)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=2^{8(-2)-3(4)+28}\cdot5^{(-5)(-2)+(-2)(4)}=2^{-16-12+28}\cdot5^{10-8}\\\\=2^0\cdot5^2=\boxed{25}[/tex]
Bicycle rentals cost $5.00 per hour for an adult and $2.50 per hour for a child.
A family with one adult and 2 kids decide to rent bicycles.
Which equation represents the relationship between the cost in dollars
for the family, c, and the time they rent the bicycles in hours, t?
A) c = 5.00t + 2.50
B) c = 7.50t
C) c = 5.00 + 2.50t
Dc = 10.00t
Answer:
B
Step-by-step explanation:
Have a good day!
Please help ASAP!!!!
PLEASE ANWSER
POR FAVOR
Sorry the picture won't load for me I'm not sure if it's just my wifi.
True or False: When comparing and ordering scientific notation we look at the exponent first
Answer:
f
Step-by-step explanation:
base
Answer:
True, You need to compare the exponents first because the exponent represents place value.
Step-by-step explanation:
Hope this Helps!
Plz Mark Brainliest!
Find the y-intercept in the function: 3x - 2y = 6*
hi there! the y-intercept in the function is...
3 + 3x/2
hope this helped. have a good one!
Help me. 1,2,3, and 4 are the only options for all letters so there is no lack of information in this picture.
Answer:
Step-by-step explanation:
a: 2
b: 4
c: 3
d: 4
e: 6
What can you triple and then subtract by 1 to get 29
Answer:
10 would be the answer :)
A contractor purchases ceramic tile to remodel a kitchen. Each tile costs $4, and the adhesive and grouting material costs $17.82. If the contractor is charged a total of $581.82, how many ceramic tiles did the contractor purchase?
Answer:
The answer is 145 ceramic tiles
Step-by-step explanation:
$4 Divided by $581.82 = 145.455
Determine whether the lines through each pair of points are parallel, perpendicular, or neither.
Line 1: (7, 6), (3, 18)
Line 2: (-2, -7), (-4, -1)
Answer:
line 1: neither
line 2: parallel
Step-by-step explanation:
Which inequality is true?
Answer:
2 1/3 > 2 1/6
Step-by-step explanation:
2.33 > 2.17 True
How do you know if it is inequality or not w/ fraction?
An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.
To solve an inequality using the following steps:
1) Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
2) Simplify by combining like terms on each side of the inequality.
3) Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Answer:
B
Step-by-step explanation:
I did the quiz
Find the volume of the cylinder with the info below.
Distance from center to edge: 3 feet
Side length of the cylinder: 5 feet
Please help me out! I promise I will mark brainliest!
Answer: 141.3 in
1. V = πrh
2. V = (3.14)([tex]3^{2}[/tex])(5)
3. V = 141.3 in.
Hope this answer helps you!
Using the rules of multiplying and dividing integers, identify when an answer will be negative. (Select all that apply) Question 3 options: negative x positive positive ÷ negative positive ÷ positive negative x negative negative ÷ positive positive x positive negative ÷ negative positive x negative
Answer:
Negative × positive = negative
positive ÷ negative = negative
negative ÷ positive = negative
positive x negative = negative
Step-by-step explanation:
1. Negative × positive = negative
- × + = -
2. positive ÷ negative = negative
+ ÷ - = -
3. positive ÷ positive = positive
+ ÷ + = +
4. negative x negative = positive
- × - = +
5. negative ÷ positive = negative
- ÷ + = -
6. positive x positive = positive
+ × + = +
7. negative ÷ negative = positive
- ÷ - = +
8. positive x negative = negative
+ × - = -
Negative × positive = negative
positive ÷ negative = negative
negative ÷ positive = negative
positive x negative = negative
Note: when the signs are different, they will give negative
When the signs are the same, they will give positive
13 and 5/8 plus 7/8 please answer quickly
13 5/8 + 7/8 = 14 1/2
5/8 + 7/8 = 1 4/8 = 1 1/2
1 1/2 + 13 = 14 1/2
You want to order Chiken nuggets for you and your friends . You want to know how much to pay for 5 orders of chicken nuggets if each order is$2
Answer:
10$
Step-by-step explanation:
just because
Answer:
$10
Step-by-step explanation:
What we know: you want to pay for 5 order of chicken nuggets.
Each order is $2
So...
5 orders of nuggies × $2
Total: $10 for nuggies
i need help pleaseee❤️
Answer:
A"(2,11) B"(0,5) C" (4,3)
Step-by-step explanation:
w = 8.75h
What is an impossible value for h?
Answer:
h = 0.1 142857 w
Step-by-step explanation:
Answer:
hayy
Step-by-step explanation:
If you were to buy 3 1/8 pounds of ham from the deli counter, the digital scale would show
Answer:
3.125 pounds
Step-by-step explanation:
Digital scale would show weights in decimal form
3 1/8 = 3.125 pounds
Solve absolute value equation 2|x-3|-8=2
Answer:
[tex]x=8, -2[/tex]
Step-by-step explanation:
[tex]2|x-3|-8=2[/tex]
[tex]2|x-3|=10[/tex]
[tex]|x-3|=5[/tex] [tex]|x-3|=-5[/tex]
[tex]x-3=5[/tex] [tex]x-3=-5[/tex]
[tex]x=8[/tex] [tex]x=-2[/tex]
find the slopes of the linear equations
Answer:
m is the slope.
b is the y intercept.
slope intercept is in the form: y = mx + b.
y - 4 = 3 (x - 2) [m = 3] [slope is 3]
y = 3/4x - 7 [m = 3/4] [slope is 3/4]
y + 8 = -6 (x - 1) [m = -6] [slope is -6]
y = -5x + 10 [m = -5] [slope is -5]
4x + 5y = 20 [m = -4/5] [slope is -4/5]
Explanation:
For all of these equations, make sure they are all in slope intercept form by isolating y completely, and getting it on the left side of the equation.
y - 4 = 3 (x - 2) → y - 4 = 3x - 6 → y = 3x - 2 → y = mx + b.y = 3/4x - 7 → y = mx + by + 8 = -6 (x - 1) → y + 8 = -6x + 1 →. y = -6x - 7 → y = mx + by = -5x + 10 → y = mx + b4x + 5y = 20 → 5y = -4x + 20 → y = -4/5x + 4 → y = mx + bWhat is the answer to this question?
Answer:
Multiple 234 denomitor to that
Step-by-step explanation:
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