9) The Venn diagram shows the number of elements in sets A, B and C.
B
12 -
13
14
20 -
13
8
a) n(AUBUC) = 74
Find x
b) n(E)=100
(3)
Find y
(1
Answers
Answer:
The value of x is 4.
The value of y is 26.
Step-by-step explanation:
Here in qn a)
It has been given that n(AUBUC)=74
So we just add all components of n(AUBUC) and add it in an equation which equals to 74;
13 + 12 - x + x + 20 - x + 15 - x + 8 + 14 = 74
82 - 2x = 74
82 - 74 = 2x
8 = 2x
4 = x
So x is 4.
Now for qn b)
It has already been given that n(AUBUC) = 74 and n(U) = 100
so to find y we simply substract n(AUBUC) from n(U)
y = n(U) - n(AUBUC)
= 100 - 74
=26
Just ask me in the comments if you have any questions.
Related Questions
its the last one:) please help. giving brainlist
Answers
Answer:
[tex]5[/tex]
Step-by-step explanation:
Segments are named by their endpoints. Therefore, segment PQ will have endpoints P and Q. The length of the segment is equal to the distance between these points.
To find the distance between P and Q given their coordinates, use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let:
[tex]P(-2, 7)\implies (x_1, y_1),\\Q(1, 3)\implies (x_2, y_2)[/tex]
The distance between these points is equal to:
[tex]d=\sqrt{(1-(-2))^2+(3-7)^2},\\d=\sqrt{3^2+(-4)^2},\\d=\sqrt{9+16},\\d=\sqrt{25},\\d=\boxed{5}[/tex]
Answer:
[tex]5[/tex]
Step-by-step explanation:
This problem gives one the following points on a line: ([tex]P(-2,7)[/tex]), and ([tex]Q(1,3)[/tex]). The problem asks one to find the distance between the two points. The formula to find the distance between two points on a coordinate point is the following,
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the given values in and solve for the distance;
[tex]D=\sqrt{(-2)-(1))^2+((7)-(3))^2}[/tex]
Simplify,
[tex]D=\sqrt{(-2)-(1))^2+((7)-(3))^2}\\\\D=\sqrt{(-3)^2+(4)^2}\\\\D=\sqrt{9+16}\\\\D=\sqrt{25}\\\\D = 5[/tex]
Write the smallest three digit number whose value does not change on reversing its digits.
Answers
Answer:
the answer is 101.
Step-by-step explanation:
it is the smallest three-digit number whose value does not change on reversing its digits.
Scott likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 858585 minutes. He wants to know how many minutes (m)(m)left parenthesis, m, right parenthesis it will take him to run 52 \text{ km}52 km52, start text, space, k, m, end text at the same pace.
How long will it take Scott to run 52 \text{ km}52 km52, start text, space, k, m, end text?
Answers
Given:
Scott can run 20 km in 85 minutes.
To find:
How long will it take Scott to run 52 km?
Solution:
Let x be the number of minutes it will take him to run 52 km.
We know that,
[tex]Speed=\dfrac{Distance}{Time}[/tex]
Using this formula, we get
[tex]Speed=\dfrac{20}{85}[/tex] ...(i)
[tex]Speed=\dfrac{52}{x}[/tex] ...(ii)
Equating (i) and (ii), we get
[tex]\dfrac{20}{85}=\dfrac{52}{x}[/tex]
[tex]20\times x=52\times 85[/tex]
[tex]20x=4420[/tex]
Divide both sides by 20.
[tex]x=\dfrac{4420}{20}[/tex]
[tex]x=221[/tex]
Therefore, it will take 221 minutes to run 52 km.
Samir, a carpenter, spent $300 on specialty tools to make toy horses for children. For each horse he makes, he
spends $75 on supplies. He charges $125 for each horse. How many horses must Samir sell in order to break even?
O 2
O 3
O 4
O 6
Answers
Given:
Fixed cost = $300
Variable cost = $75 on each supply
Revenue = $125 on each horse.
To find:
The number of horses for break even.
Solution:
Let x be the number of horses.
The fixed cost is $300 and the variable cost is $75 on each supply. So, the cost function is:
[tex]C(x)=300+75x[/tex]
The revenue from each horse is $125. So, the revenue function is:
[tex]R(x)=125x[/tex]
On break even, the revenue and cost are equal.
[tex]R(x)=C(x)[/tex]
[tex]125x=300+75x[/tex]
[tex]125x-75x=300[/tex]
[tex]50x=300[/tex]
Divide both sides by 50.
[tex]x=\dfrac{300}{50}[/tex]
[tex]x=6[/tex]
The number of horses for break even is 6.
Therefore, the correct option is D.
Answer:
6
Step-by-step explanation:
12) A family stayed at a hotel for n nights. The cost was $80 per night plus a one-time fee of $20. Write an expression that represents the total cost of their hotel stay? PLEASE HELP
Answers
Answer:
80n+20=total cost
Step-by-step explanation:
We don't know the value of n, but we don't need it for an expression. We know that the family has to pay $80 per night that they stay at the hotel. Modeling this would look like: 80n (80*n for nights). Also, we know that the family MUST pay a $20 fee. So, we can add that on to the expression to look like this, 80n+20=total cost.
Hope this helps!
Have a nice evening.
Question 3:
A ladder is placed against a wall.
The base of the ladder is 4 foot from the bottom of the wall.
The angle between the ladder and the ground is 80°.
What is the length of the ladder?
Answers
probably this would help.
ZCAB = 150°. What is the value of х?
(4х + 22)
(6х + 8)
Answers
Step-by-step explanation:
Dhuʻl-H. 7, 1441 AH · 2 answers
5)Find the value of x for which 2x ÷ 2- 4 = 45 6) Calculate the missing value of “x” in the following expression: (11/9)3 × (9/11)6 = (11/9)2x-1 7) 5 ...
Missing: ZKB = 150°. (4х +
tan2°- cot 88° evaluate
Answers
Answer:
0
Step-by-step explanation:
tan2°- cot 88° = tan 2° - tan (90-88)°
= tan 2°-tan 2° = 0
Answer:
0Step-by-step explanation:
➡️tan 2° - cot 88°
➡️tan 2° - tan (90° - 88°)
➡️tan 2° - tan 2°
➡️ 0 ✅
5. In the triangle ABC. M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1, 3), B(7-3) and C(1,6).
Answers
Answer:
N(2,3)
Step-by-step explanation:
According to the Question,
Given that, In the triangle ABC. M is the midpoint of AB and N is the midpoint of CM And A(-1, 3), B(7-3) and C(1,6). Thus, For coordinates of N. first We have to find the Coordinate of M(x,y). As Given M is the Midpoint of A(-1, 3) and B(7-3).Thus, M(x,y) = (-1+7)/2 , (3-3)/2 ⇒ M(3,0)
Now, As Given, N(a,b) is the Midpoint Of C(1,6) and M(3,0).Thus. N(a,b) = (1+3)/2 , (6+0)/2 ⇒ N(2,3)
Find the measure of the reference angle for each given angle
0=225
Answers
Answer:
45°
Step-by-step explanation:
Reference angle is defined as The smallest angle that the standard position of a given angle will make with the x-axis.
Now, the given angle 225 lies in third quadrant. So, for us to find the reference angle, we will have to subtract 180 from it to get;
225 - 180 = 45°
There are 6 rotten mangoes and 24 good mangoes in a bag. What fraction of the mangoes is rotten?
Answers
[tex]\sf \bf {\boxed {\mathbb {Given:}}}[/tex]
Total number of rotten mangoes in the bag = 6
Total number of good mangoes in the bag = 24
[tex]\sf \bf {\boxed {\mathbb {To\:find:}}}[/tex]
Fraction of the rotten mangoes to the total mangoes.
[tex]\sf \bf {\boxed {\mathbb {Solution:}}}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{1}{5} }}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation :}}}[/tex]
Total number of mangoes in the bag = Total number of rotten mangoes + Total number of good mangoes
➺[tex]\:6 + 24[/tex]
➺[tex]\:30[/tex]
Now,
Fraction = [tex]\frac{Total \: \: number \: \: of \: \: rotten \: \: mangoes}{Total \: \: number \: \: of \: \: mangoes}[/tex]
➺[tex] \: \frac{6}{30} [/tex]
➺[tex] \: \frac{1}{5} [/tex]
Therefore, the fraction of the rotten mangoes to the total mangoes is [tex]\sf\pink{\frac{1}{5}}[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Answer:
6/24
Step-by-step explanation:
It is 1/4 in simplest form
Determine the measure of CD from the diagram below.
Answers
Answer:
100 degrees
Step-by-step explanation:
This is because AED And CED ARE supplimetary.
80+<CED=180
-80 -80
<Ced=100
A shop-keeper wants to charge 1.5 times
as much per toilet roll for offer B than offer A.
What is the price for offer B?
Answers
Answer:
ok so the equation would look like this
B=1.5A
so b is 1.5 times more then a
Shantelle wants to rent a midsize car for one day.Value rent a car charges $20 a day plus 0.20 per mile,and best rent a car charges $30 a day plus $0.10 per mile for rental of the same mid-size car
Part A)write an equation in slope intercept form,y=mx+b for each car
Part b: determine the mileage where the rental charges are the same.
(Need help asap)
Answers
Answer:
See answers to parts a and b below.
Step-by-step explanation:
A. Value: y=20+.20x
Best Rent y=30+.10x
B. 20+.20x=30+.10x make equations equal each other by subbing y values.
.10x=10 simplify equation
x=100
check answers by subbing 100 for x in each equation.
y=20+.20(100)
y=20+20
y=40
y=30+.10(100)
y=30+10
y=40
Both equations equal 40, so 100 is the correct number of miles for when Value equals Best Rent.
PLS ANSWER CORRECT
I WILL REPORT OR BAN YOU IF INCORRECT
I WILL MARK HIM BRAINLIST AND RATE 5 WHO ANSWERS CORRECT
THANKS A LOT
Answers
Step-by-step explanation:
The AB is equal to AC because They are straight lines that both came from the same point Which is A. which shows congruecy or similarity
Math help please show work thanks
Answers
24+24+15+15+40+40
48+30+80
78+80
158
=====================================================
Work Shown:
36 inches = 3 feet
Divide by 12 to go from inches to feet
The block has the dimensions
L = 5 ftW = 8 ftH = 3 ftUse the formula below to calculate the surface area
SA = 2*(LW+LH+WH)
SA = 2*(5*8+5*3+8*3)
SA = 2*(40+15+24)
SA = 2*(79)
SA = 158 square feet
So if you had 158 square feet of wrapping paper, then you can cover this entire 3D box without any gaps or overlaps. The paper can be folded over the box, or you can cut/glue the pieces on, but make sure there isn't any leftover scraps of paper.
helppppp- u just need to simplify the given term
Answers
I hope this helps <3
Could someone help me with this, please, I’ve been struggling for the past few hours, and I need to finish this within the next hour or I’ll get a zero, please anyone, and thank you if you do know how to help me
Answers
Answer:
-383.5
Step-by-step explanation:
4+2.5+1+...-33.5
a=4
c.d. d=2.5-4=-1.5
l=-33.5
l=a+(n-1)d
-33.5=4+(n-1)(-1.5)
-33.5-4=(n-1)(-1.5)
-37.5=(n-1)(-1.5)
[tex]n-1=(-37.5)/(-1.5)=25\\n=25+1=26\\n=26\\S_{26}=\frac{n}{2} (a+l)\\=\frac{26}{2} (4-33.5)\\=13(-29.5)\\=-383.5[/tex]
Write the equation of the line that passes through the points (8,1) and (-1,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
y-3 = -2/9(x+1)
Step-by-step explanation:
Here, we want to find the standard equation
Generally, we have the equation as;
y = mx + b
where m is the slope of the line and b is the y intercept
To find the slope, we use the slope equation
m =y2-y1/x2-x1
m = (3-1)/(-1-8) = 2/-9 = -2/9
So to write in point slope form, we can use any of the two points
We have;
y-y1 = m(x-x1)
using (-1,3)
y-3 = -2/9(x+1)
A rectangular prism has a 4-inch-by-5-inch base and
a height of 3 inches. What figure represents a cross
section parallel to the base of the prism?
Answers
Step-by-step explanation:
A rectangular prism is shaped like a pyramid, but the base is longer in one direction than the other. i.e. a rectangle.
A cross section of a shape is the new face that is formed when you cut a shape into two pieces with a straight cut. The problem tells us that the cross section is parallel to the base of the prism, therefore if the prism is placed on a flat surface with the base facing down, then we would be cutting horizontally.
The new face that is created on the shape after the cut, would be a rectangle due to the shape of the base.
Swadaylab arck, a
fatis)
ne that obat 5. Eind the raken
$10
Answers
When a number is subtracted from five times of another number the result is 10. Check which of the following are solutions of the above statement?
a) (2, 0)
b) (5, 10)
c) (3, 5)
Answers
Answer:
(3,5)
5*3 = 15 .... 15-5 = 10
Step-by-step explanation:
Find length bc. Give your answer to 1 decimal place 11cm 64 trigonometry
Answers
Answer:
BC ≈ 9.9 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin64° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{11}[/tex] ( multiply both sides by 11 )
11 × sin64° = BC , then
BC ≈ 9.9 cm ( to 1 dec. place )
Draw the two lines y = 2x + 2/3, and y = 2x + 1/3. They are parallel a
Answers
Answer:
Two line are perpendicular when they are at right angles to each other.
The red line is perpendicular to the blue line in each of these examples:
Perpendicular Example
Step-by-step ex;planation:
Solve the system by substitution.
y = 4x
y = 8x - 36
Answers
Answer:
(9,36)
Step-by-step explanation:
Substitute the 4x for the y in second equation.
Basically setting them equal to each other because the both have 'y='
4x = 8x - 36
-4x = -36 (subtract 8x from both sides)
x = 9 (divide by -4, both sides)
y = 4(9) (Substitute the x value into first equation)
y = 36
can someone help please
Answers
9514 1404 393
Answer:
4. n = 4
5. P(A|B) = 0.75
Step-by-step explanation:
4. The coefficient of x will depend on n. The expansion is ...
(5 +nx)^2(1 +3/5x)^n = (25 +10nx +n^2·x^2)(1 +3/5nx +...)
So, the x-term of the expansion is ...
25(3/5nx) +(10nx)(1) = 25nx
The problem statement tells us that is 100x, so we have ...
25nx = 100x
n = 100x/(25x) = 4 . . . . . divide by the coefficient of n
The value of n is 4.
__
5. For the conditional probability formula, we need to know P(A∩B).
P(A∩B) = P(A) +P(B) -P(A∪B)
P(A∩B) = 0.5 +0.4 -0.6 = 0.3
Then the conditional probability is ...
P(A|B) = P(A∩B)/P(B) = 0.3/0.4
P(A|B) = 0.75
KoKo Chocolatiers sells their truffes in rectangular boxes. They are going to start ordering circular boxes, too. The rectangular box is made from metal that is 0.3 cm thick. The circular box will be constructed from laminated cardboard that is 0.2 cm thick. The height of the circular box will be the same as the rectangular box. If the volumes of the two boxes are equal, then what is the radius (r) of the circular box?
Answers
Answer:
r = 9.61 cm
Step-by-step explanation:
Volume of a rectangular box = length × width × height
= 21.5 cm × 13.5 cm × 6 cm
= 1,741.5 cm³
Volume of a rectangular box = 1,741.5 cm³
Since,
Volume of a rectangular box = Volume of a circular box
Then,
1,741.5 cm³ = Volume of a circular box
Volume of a circular box = πr²h
1,741.5 cm³ = 3.14 * r² * 6 cm
1,741.5 = 18.84r²
r² = 1,741.5/18.84
r² = 92.436305732484
r = √92.436305732484
r = 9.6143801533163
Approximately,
r = 9.61 cm
Maria rode her bicycle at an average speed of 18 mph on level roads and then slowed down to 10mph on the hilly roads of the trip. The entire trip covered 98 miles. How long did the entire trip take if traveling the level roads took the same time as traveling the hilly roads? {Remember, d = r·t }
Answers
Let the time = X
Distance = Rate times time
Level roads = 18x
Hills = 10x
Total is 98 miles
18x+10x = 98
Add:
28x = 98
Divide both sides by 28:
x = 3.5
She spent 3.5 hours on each part
Total time = 3.5 + 3.5 = 7 hours
SOMEONE HELP ME PLEASE
Answers
9514 1404 393
Answer:
log4(2) = 0.5000
Step-by-step explanation:
You are being asked to figure out how to make the value 2 from the values 6 and 3. Your familiarity with arithmetic facts tells you ...
2 = 6/3
Taking logs base 4, you have ...
log4(2) = log4(6/3) = log4(6) -log4(3)
log4(2) = 1.2925 -0.7925
log4(2) = 0.5000
__
Additional comment
This is consistent with your knowledge of factors of 4:
√4 = 4^(1/2) = 2
log4(2) = 1/2
__
Here, we're using "log4" to mean the base-4 logarithm.
BRAINLYEST TO WHOEVER ANSWERS FAST
Volume
To measure the index of refraction for different liquids, you can use half-circle refraction cups.
Keep this image open as you work on the tasks.
Part A
Which measurements do you need to know to find the volume of a cylinder?
Part B
Since the base of the refraction cup is a half circle, how can you find the radius? What is the radius?
Part C
If you put two refraction cups together, what three dimensional shape would you have?
Part D
The formula for the volume of a cylinder is . What is the approximate volume of two refraction cups? Use 3.14 for pi.
Part E
Since one refraction cup is half of a cylinder, how could you change the formula for the volume of a cylinder to calculate the volume of a refraction cup?
Part F
Using the equation from Part E, what is the approximate volume of one refraction cup? What is the relationship between this value and the value from Part D? Use 3.14 for pi.
Answers
1. The measurements you need to find the volume of a cylinder are the radius of the base of the cylinder and the height of the cylinder.
2. The radius is 4
3. The 3D shape will form a full cylinder.
4. To calculate the volume of a cylinder we use the formula V = πr²h which is = π(4²)(2) = 3.14 × 16 × 2 = 100.48 cm³
5. The formula for a refraction will be (πr²h) / 2
6. From the formula in part E, the approximate volume of a refraction is (3.14 × 4² × 2)/ 2 = 50.24 cm³
How do you find the radius of the base of the cylinder and the height of the cylinder as far as calculating the volume of a cylinder is involved?If you have been givn the volume of a cylinder and its height, you can use the formula for the volume of a cylinder to solve for the radius. Rearange the formula to r = sqrt(V / (πh)).
If you know the surface area of a given cylinder and height, you can find the radius using the formula for cylinder surface area (A = 2rh + 2r2). Rewrite the formula as r = (A - 2h) / (2.
Find more exercises on calculating the volume of a cylinder;
https://brainly.com/question/16134180
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