The formula of the set is generally written as follows.
The term set in math is defined as an organized collection of objects and can be represented in set-builder form or roster form.
Here we need to find the formula that can be used in set.
The general formula of the set can be written as follows:
=> n ( P ∪ Q ) = n(P) + n(Q) – n ( P ∩ Q)
where
n(P U Q) refers the number of elements present in one of the sets P or Q.
n(P ⋂ Q) refers the number of elements present in both the sets P & Q.
Where as If P ∩ Q = ∅, then the value is calculated as,
=> n ( P ∪ Q ) = n(P) + n(Q)
Here we have also want to know that sets P and Q are equal only if all the elements they contain intersect, and none of them have any unique elements which are not present in the other set.
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2. The axis of symmetry of the parabola y = x² + 9 is:
a) x=9
b) x = -9
c) x = 0
d) x= - 1/2
Find 2x^3-x^3+4x+7 divided by x+3
Answer:
(x^3+4x+7)/(x+3)
Step-by-step explanation:
you just combine the like terms on the top and put it in a fraction. let me know if that helped.
decrease 784 in the ratio 3:4
Answer:
336 and 448
Step-by-step explanation:
sum the ratio
divide the actual number by the sum i.e 784÷7=122
multiply 112 by 3 and by 4
The numbers are 336 and 448 respectively.
What is Arithmetic?The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations. The term "arithmetic" (which comes from the Greek word "arithmos," "number") often refers to the fundamental concepts in number theory, measurement, and computation (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).
As per the given data:
We have to decrease 784 in the ratio 3:4
Consider that after decreasing, the numbers are x and y.
From the given data:
(x / y) = (3 / 4)
⇒ 4x = 3y
⇒ y = (4x/3) ...(i)
also, x + y = 784
Substituting from eq (i)
x + (4x/3) = 784
(7x / 3) = 784
x = (743 × 3) / 7
x = 336
and y = 784 - 336 = 448
Hence, the numbers are 336 and 448 respectively.
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Use the information below to respond to numbers 5,6,7 and 8.
Celeste was selling meal tickets for the holiday program at her school. The cost of a dinner ticket is
$10. She is also selling dessert tickets for $6. She lost track of how many of each ticket she sold;
however, she remembered that she was given 100 tickets and she collected $900.
The system of equations shown can be used to represent this situation:
S x + y = 100
(10x + 6y=900
5. What does the variable x represent in the system of equations? *
1 point
O A. The number of dinner tickets sold.
O B. The number of dessert tickets sold.
O C. The number of dollars collected for dinner tickets.
D. The number of dollars collected for dessert tickets.
O Other:
X is next to the number 10, so x would be the number of dinner tickets sold.
Rewrite x + y = 100 to x = 100-y
Now replace that in the 2nd equation:
10(100-y) + 6y = 900
Simplify:
1000 -10y + 6y = 900
Combine like terms:
1000 -4y = 900
Subtract 1000 from both sides
-4y = -100
Divide both sides by-4
Y = 25
Replace y in the first equation and solve for x
X + 25 = 100
X = 75
A) 75 dinner tickets were sold
B) 25 dessert tickets were sold
C) 75 x 10 = $750
D) 25 x 6 = $150
Set up and solve a proportion: On average, I can answer 14 out of 21 questions correctly in a trivia game. Assuming
this situation is proportional, how many MORE questions am I likely to get correct if there are 30 questions in all?
Answer:
20
Step-by-step explanation:
Since this is a ratio problem we first plug in all that we know
14:x
21:30
Now we find a way to get from 21 to 30
The ratio 14:21 can be simplified if we divide each by 7 give us 2:3
Now we plug the new ratio in
2:x
3:30
We get from 3 to 30 by multiplying by 10 so we also multiply 2 by 10 and we get 20
x + 1/4 = 5/6
solve the equation for x
Answer:
x =7/12
Step-by-step explanation:
x + 1/4 = 5/6
start subtract 1/4 from both sides of the equation which will move the -1/4 to the other side to get X by itself
x=5/6 - 1/4
find common denominator, which is 12
x=10/12 - 3/12
solve by subtacting
x=7/12
Will get brainliest if correct
Answer:
half
Step-by-step explanation:
MULTIPLE CHOICE QUESTION PLS HELP ME
Answer:
The answer is C.
5. What is the slant height of a right pyramid whose
lateral area is 90 ft- and whose base is a regular
hexagon with a 3 ft side?
A. 3 ft
B. 10 ft
C. 30 ft
D. 270 ft
PLEASE HELP IM TIMED NO LINKS OR FILES THESE ARE NOT FREE POINTS WILL REPORT, ALSO I WILL GIVE BRAINLISET TO FIRST PERSON THAT ANSWER!
Answer:
t=-28
Step-by-step explanation:
50 hundredths = ______ thousandths equals?
Answer:
50/100 = 500/1000 or alternatively .50 = .500
Answer:
500
Step-by-step explanation:
50 hundredths written in standard form is 0.50 .
**Adding zeroes to the end of a decimal does not change the value of the number.
1 hundredth = 0.01
1 thousandth = 0.001
So, if there are 50 hundredths, how many thousandths would there be?
The difference between hundredths and thousandths are the placement of the decimal point and how many decimal places there are after it. Hundredths have 2, while thousandths have 3.
Back to the example, 1 hundredth = 10 thousandths:
0.01 = 0.010
If there are 50 hundredths, that would mean that there are 10 times more thousandths in the same number.
0.50 = 0.500
50 hundredths = 500 thousandths
help me w this pls pls pls
Answer:
48
Step-by-step explanation:
2500 - 196 = [tex]x^{2}[/tex]
x = 48
Please mark as brainliest for future answers :)
Consider this absolute value function.
(I) = I - 5
How can function fbe written as a plecewise function?
A.
T-
5,
I> 5
f13)
=
-T
5, I < 5
OB.
5,
I > -5
f(3) =
-1 – 5, I <-5
C.
-
f(x)
=
5 1 > 5
-1 + 5, I < 5
D.
f(x)
11
r – 5, * > -5
-1 + 5, r < -5
Answer:
C.given: f(x) = |x-5|
the function f as a piecewise function
[tex]f(x) = \left \{ {{x-5, x \geq 5 } \atop {-x+5, x < 5}} \right.[/tex]
My someone pls help me
Answer:
No its not a proportion, the numerators can't be divided evenly
Step-by-step explanation:
Answer 2-5
Help please
Help with this math problem, please!!
Answer:
Step-by-step explanation:
that is hard
Dots sells T-shirts ($5) and shorts ($8). In April, total sales were $560. People bought 4 times as many T-shirts as shorts.
Answer:
Number of T-shirts sold = 80 and number of shorts sold = 20
Step-by-step explanation:
This question is incomplete. If we have to calculate the number of shirts and T-shirts sold by Dots then we will calculate this question as below.
Let the number of shorts sold = s
And the number of T-shirts sold = T
Dots sells T-shirts at $5 and shots at $8 in April.
Equation for this situation will be,
5T + 8s = 560 -----(1)
Number of T-shirts sold are 4 times the shorts,
T = 4s ----- (2)
By substituting the value of T from equation (2) in equation (1),
5(4s) + 8s = 560
20s + 8s = 560
28s = 560
s = 20
From equation (2),
T = 4(20)
T = 80
Number of T-shirts sold = 80 and number of shorts sold = 20
find the image of the point (-5,-2) under
Pls Help! It would be very much appreciated, Thx!
Answer:
A. 30 two-point questions and 10 four-point questions
Step-by-step explanation:
30 multiplied by 2 equals 60
10 multiplied by 4 equals 40
60 plus 40 equals 100 points which is the amount of points the test is worth as stated i the question.
30 plus 10 equals 40, which is the total amount of questions in the test as stated in the question.
A rectangular prism has a length of 16in, a height of 15in, and a width of 6in. What is its volume, in cubic in?
Answer:
9in
Step-by-step explanation:
a p e x
Answer:
Step-by-step explanation:
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Whats the question bro and if there's no question than thank you bro I really appreciate you have a gn
The difference of a number mand thirty is ten. How do you write this as a equation?
Answer: x - 30 = 10
Step-by-step explanation:
x - 30 = 10
x = 30 + 10
x= 40
Andy's little brother has a toy box that contains 2 blue race cars, 1 green race cars, and 1 red race car. Andy removes 2 race cars from the toy box without looking. If Andy remove a blue car first and does not replace it, which best represents the sample space for the cars Andy Removes? *
10 points
A { ( blue, green), ( blue, red) }
B { ( blue, blue), (blue, green), ( green, red)}
C { ( blue, blue), ( blue, green), (blue, red) ]
D { (blue, red), ( green, red), (blue, blue)}
Answer:
A { ( blue, green), ( blue, red) }
please mark as brainliest l need it
Answer:
A is your anser Blue,Green Blue,Red
Step-by-step explanation:
¿Cuál es el número que debe escribirse sobre la línea para que se cumpla la igualdad?
7 ∙ 3 + _____ = - 4
Answer:
-25
Step-by-step explanation:
7*3+x=-4
21+x=-4
x+21=-4
x+21-21=-4-21
x=-4-21
x=-25
solve this for me plzzzz and thxxx
FIST ONE TO AWNSER GETS BRAINLYIST AND 50 points IF CORRECT HURRY!!!!!!!!
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply.
Answer:
1 3, and 4 ones are correct
Step-by-step explanation:
jk
A nature park has two ticket plans. With one plan, you pay a $24 yearly membership fee plus $8
for each visit. The other plan has no membership fee, but you pay $14 for each visit. Isaac is on
the first ticket plan and Maddie is on the second ticket plan. After how many visits will they each
have paid the same amount
F 5
G6
H4
J 3
Answer:
G6
Step-by-step explanation:
between which two integers is the value of √21?
Answer:
cll fl fl gl hhcjjfftgggc vggggg
Step-by-step explanation:
ty go gu gu gu gu gu vik bm vm gn gh ucch jhbbbjjjjk fistulakkMultiplicative inverse of 0.65
Jasmine paid $380 for a playstation 5, originally priced at $500. What percent discount did Jasmine get?
She got it for 24% off
$500 - 24% = $380