At a financial conference, the 750 attendees were given the choice of turkey, ham, both, or neither on the sandwich in their sack lunch. Eighty-five of the attendees chose neither and 200 chose both. If a total of 400 people had ham on their sandwiches, use the Venn diagram below to determine how many people had only turkey on their sandwich.
750
665
350
265
Answers
Answer:
265
Step-by-step explanation:
All values should add up to 750
85 + 400 + x = 750
485 + x = 750
x = 265
Number of people had only turkey on their sandwich from the given Venn diagram is equals to 265.
What is Venn diagram?
" Venn diagram is defined as pictorial representation of set of data using circles and rectangle in logical form to represent the relation between the given sets."
According to the question,
From the given Venn diagram,
Total number of attendees = 750
Number of attendees choose neither sandwich = 85
Number of attendees choose both turkey and Ham sandwich= 200
Total number of attendees choose ham sandwich = 400
'x' represents the number of attendees choose only turkey sandwich
As per condition of the sets in the Venn diagram we get,
[tex]400 + 85 + x = 750\\\\\implies 485 + x=750\\\\\implies x = 750-485\\\\\implies x = 265[/tex]
Hence, number of people had only turkey on their sandwich from the given Venn diagram is equals to 265.
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Related Questions
Which number in the set {6, 12, 18, 36} satisfies the equation 3x-9=27?
Answers
Answer:
12
Step-by-step explanation:
3x-9=27
3x=36
x=12
given that DEF XYZ , what is the measure of z? brainly
Answers
Answer:
77
Step-by-step explanation:
So first off, we know that those two triangles are congruent triangles, so those have the same measures. All angles have the same measures. We also know that all angles equal to 180 degrees.
So imagine putting them together:
So then you do 57+ 46=103
180-103=77
Hence the measure of z is 77 degrees
(4x + 30)
What’s the answer
Answers
Answer:
Fraction form -15/2
Decimal form -7.5
Step-by-step explanation:
4x+30=0
subtract 30 from both sides
4x=-30
divide both sides by 4
x=-30/4
simplify
-15/2 or -7.5
last month he sold 50 chickens and 30 ducks for $550. this month he sold 44 chickens and 36 ducks for $532. how much does a chicken cost and how much does a duck cost ?
Answers
Answer:
cost of one chick:$8 Cost of one duck:$5
true or false a survey is the only way to collect date
Answers
Answer:
False and also the last word is data not date.
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
y=|x| (What is the range of this function?)
Answers
Answer:
Any number both positive or negative.
y = {all numbers}
Step-by-step explanation:
Answer:Any number both positive or negative.
Step-by-step explanation:y=(all numbers)
2. An advertiser wants to find convincing evidence that television viewers
remember more than 4 commercials, on average, after watching a 30 minute TV
program. They take a random sample of 100 television viewers and ask them
how many commercials they could remember after watching a 30 minute TV
program. The appropriate t-test was conducted, which resulted in a P-value of
0.15. Assuming all conditions were met, which of the following is an appropriate
conclusion?
(A) Because the P-value is less than 0.05, at the 5% significance level, there is not
convincing evidence that television viewers remember more than 4 commercials, on
average, after watching a 30 minute TV program.
(B) Because the P-value is greater than 0.05, at the 5% significance level, there is
convincing evidence that television viewers remember fewer than 4 commercials, on
average, after watching a 30 minute TV program.
(C) Because the P-value is greater than 0.01, at the 1% significance level, there is not
convincing evidence that television viewers remember more than 4 commercials, on
average, after watching a 30 minute TV program.
(D) Because the P-value is greater than 0.01, at the 1% significance level, there is
convincing evidence that television viewers remember exactly 4 commercials, on
average, after watching a 30 minute TV program.
(E) Because the P-value is less than 0.01, at the 1% significance level, there is convincing
evidence that television viewers remember fewer than 4 commercials, on average, after
watching a 30 minute TV program.
Answers
Answer:
C
Step-by-step explanation:
On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2).
How do the areas of the parallelograms compare?
The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is equal to the area of parallelogram 2.
The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.
Answers
Answer:
The answer is: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
Step-by-step explanation:
Hope this helped :)
Answer:
A
Step-by-step explanation:
Given these what is X if B-X=A
Answers
Answer:
B
Step-by-step explanation:
B-X=A
or
B-A=X
or
X=B-A
[tex]X=\left[\begin{array}{ccc}-5&-1&6\\4&1&2\\0&-3&2\end{array}\right] -\left[\begin{array}{ccc}-1&-2&3\\4&8&-6\\0&1&5\end{array}\right] \\=\left[\begin{array}{ccc}-5+1&-1+2&6-3\\4-4&1-8&2+6\\0-0&-3-1&2-5\end{array}\right] \\=\left[\begin{array}{ccc}-4&1&3\\0&-7&8\\0&-4&-3\end{array}\right][/tex]
Answer:
answer is B
Step-by-step explanation:
A cone has a height of 7 ft and a radius of 4 ft. Which equation can find the volume of the cone?
v=5x(72)(4) 4°
v-}*(417)
V = 38(72)(4) ft
V = 3x(42)(7)
Answers
V = one-third pi (4 squared) (7) feet cubed
Step-by-step explanation:
Volume of cone v = 1/3×π(r²h)
r = 4 and h = 7
V = 1/3 × π(4²×7)
So B
Find the zeros of the function. Write the smaller solution first, and the larger solution second. f ( x ) = ( x − 1 ) 2 − 36
Answers
Answer:
-13,1
Step-by-step explanation:
f(x)= (x+6)^2-49
When we find the zero's we set f(x) =0
0= (x+6)^2-49
Add 49 to each side
49= (x+6)^2-49+49
49= (x+6)^2
Take the square root of each side
±sqrt(49) = sqrt((x+6)^2)
±7 = (x+6)
Subtract 6 from each side
±7-6 = (x+6-6)
±7-6 = x
7-6 =x -7-6 =x
1=x -13=x
BRAINLIEST WILL BE GIVEN!!! HURRY!
What is the surface area of the entire sculpture? Use 3.14 for π.
*Surface area of the entire sculpture = Surface area of the cube - Surface area of the two circles + Curved surface area of the cylinder
*Surface area of the cube = 6s² (6 x side x side)
*Surface area of the two circles = 2πr² (2 x 3.14 x radius x radius)
*Curved surface area of the cylinder =2πrh (2 x 3.14 x radius x height)
Answers
Answer:
717.75cm ^2
Step-by-step explanation:
6(10)(10)= 600
2(3.14)(2.5)(2.5)= 39.25
2(3.14)(2.5)(10)= 3.14(5)(10)= 157
600-39.25+157= 717.75
Sabrina has a rug with a perimeter of 18 feet. She decides to place a border around the rug so that the new length of the rug is 8 feet and the width is 4 feet. The border is the same width all the way around. A rectangle has a length of 8 feet and width of 4 feet. The equation which represents x, the width of the border is 2 (8 minus 2 x) + 2 (4 minus 2 x) = 18. What is the width of the border? Three-fourths ft 1 and one-half ft 1 ft 3 ft
Answers
Answer:
3/4 ft.
Step-by-step explanation:
2(8-2x)+2(4-2x)=18
16-4x+8-4x=18
-8x=18-24
-8x=-6
x=-6/-8
x= 3/4
The width of the border is 3/4.
What is perimeter of rectangle?The perimeter of rectangle is, P= 2(l + b).
Given:
length= 8 feet, width = 4 feet
2(8-2x)+2(4-2x)=18
16-4x+8-4x=18
-8x=18-24
-8x=-6
x=-6/-8
x= 3/4
Hence, the width of the border is 3/4.
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Can someone help me find the evaluation for #20 I need to show my work
Answers
Find the measure of the given arc in Circle C.
Answers
Answer:
AE=90°
AED=140°
DBA=220°
Evalaute the expression 3x + (z+2y)-12, if x=3, y=8 and z=5
please help rn
Answers
Answer:
18
Step-by-step explanation:
3x + (z + 2y) - 12, if x = 3, y = 8 and z= 5.
3*3 + (5+2*8) - 12
9 + (5 + 16) - 12
9 + 21 - 12
30 - 10 - 2
20 - 2
18
Answer:
18
Step-by-step explanation:
First what you would do is plug in the numbers.
3x3+(5+2x8)-12
Then you would multiply 2 times 8 and get 16. Then add 16 and 5 and get 21.
3x3+(21)-12
Then you add 3 times 3 and get 9.
9+21-12
Then you solve left to right. Then you add 9 and 21 and get 30. Last you subtract by 30 by 12 and get 18.
You open your first interest-bearing savings account with an initial deposit of
$2,500. Interest is compounded quarterly at a rate of 3.5%. Assuming you do not
deposit any more money into the account, how much money will you have in the
account after 5 years?
Answers
Answer:
$2,975.85
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, change 3.5% into a decimal:
3.5% -> [tex]\frac{3.5}{100}[/tex] -> 0.035
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
[tex]A=2,500(1+\frac{0.035}{4})^{4(5)}[/tex]
[tex]A=2,975.85[/tex]
After 5 years, the account will have $2,975.85
Find the total surface area of the prism
Answers
Answer:
217 sqft
Step-by-step explanation:
the total area can be divided into 6 parts:
2 triangles, 2 rectangles(height 5, length 8) and 2 rectangles(height 7, length 8)
Therefore the area can be calculated as :
2* (1/2* 5*5) + 2*5*8+2*8*7 = 217 sqft
The radius of a circle is 11.4 cm. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answers
Answer:
71.60 cm
Step-by-step explanation:
To round 71.63 to the nearest tenth, consider the hundredths value of 71.63, which is 3 and less than 5. Therefore, the tenths value remains 6 and you get rid of the 3 since it is less than 5.
Answer:
the circumference is 71.63 but that number rounded to the nearest tenth is 71.60 cm. when a number is rounded to the nearest tenth in a decimal the last two numbers are rounded. because 3 is less than five then that means we turn it into a zero then we get 71.60
Step-by-step explanation:
ASAP!!
consider the diagram below.
which of the following is the value of x?
a- 2
b- 11
c- 20
d- 29
Answers
Angles 45 and six are equal and that makes them equally the top half is the same as the bottom half so you know that a straight line is 180 degrees 180-45 is 135 and the angle is question is 5x+ 35 5(20)+35= 135
Answer:
(CHOICE C)
X= 20
Step-by-step explanation:
SOLVE FOR X AND USE 45* ANGLE FOR HELP.
What are the coordinates of point K?
(-
)
()
Answers
Answer:5/8 and 1/4
Step-by-step explanation:
The coordinates of point K can be given by (-1/4, 5/8).
What are cartesian coordinates?Cartesian coordinates are the values on a graph that can be used to show the location of a point on the graph.
The coordinates of point K can be found as follows:There are 4 lines between 0 and -1 on the x-axis which divide it into 4 equal parts.
Point K lies on the first line. This means that the x-coordinate of the point is -1/4.
There are 8 lines between 0 and 1 on the y-axis which divide it into 8 equal parts.
Point K lies on the fifth line. This means that the y-coordinate of the point is 5/8.
From this, we can understand that the coordinates of the point K on the graph can be given by (-1/4, 5/8).
Therefore, the coordinates of point K can be given by (-1/4, 5/8).
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pls help will mark as brainliest
Answers
Answer:
i think is B.
Step-by-i step explanation:
Answer:
I may be wrong, but I believe it is 4/6 = 6/9. I am so so so sorry if it is wrong.
Step-by-step explanation:
Please help! Its one of my last! Please include steps as well since i have to show work. I will give brainliest.
Answers
Answer:
600 sq mm
Step-by-step explanation:
I divided the shape into 2 shapes and found each shapes area and after that added both of its area to find the area of the above shape
area of rectangle= b x h
so, 15x30=450mm (square)
area of triangle= b x h (divided) 2
so, 10x30=300 (divided) by 2
= 150mm (square)
so, 450 (plus) 150= 600mm (square)
ก
Name the natural regions in Texas.
Answers
Answer:
the Gulf Coastal Plains, the Great Plains, the North-Central Plains and the Basin and Range.
Step-by-step explanation:
you and your friend are walking through town. there is a building making a 90 degree angle with the ground and you are standing 40ft away looking up and a 30 degree angle. how tall is the building?
Answers
Answer:
tan 30 = height of building / 40
height = 40 × 1/√3=40/√3
or = 23.1 feet
Using the matrix solver on your calculator, find the solution to the system of
equations shown below.
2x - 4y = 4
x - 2y = 8
Answers
Answer:
x = 5
y = - 3/2
Step-by-step explanation:
[tex]\left \{ {{2x-4y =4} \atop {x-2y=8}} \right.[/tex]
The augmented matrix is :
[tex]\left[\begin{array}{ccc}2&-4&4\\1&-2&8\\\end{array}\right][/tex]
Now; to Row operations
Swap row 2 to row 1
[tex]\left[\begin{array}{ccc}1&-2&8\\\\2&-4&4 \end{array}\right][/tex]
Multiply row 1 with 2 and add to row 2 ;
1(2) = 2
-2(2) = -4
8(2) = 16
2 +2 = 4
4 +(-4) = 0
16+ 4 =20
Now; we have:
[tex]\left[\begin{array}{ccc}1&-2&8\\\\4&0&20 \end{array}\right][/tex]
changing row 2 back to equation form:
4x + 0y = 20
4x = 20
x = 20/4
x = 5
substituting x = 5 in row 1
x - 2y = 8
5 - 2y = 8
-2y = 8 -5
-2y = 3
y = - 3/2
Which is the better buy: one gallon of orange juice for $2.72 or four quarts of
orange juice at $0.48 per quart?
Answers
0.48 per quart is better
Step-by-step explanation:
0.48x4=1.92 < 2.72
Points A, B, and C are plotted on the unit circle.
Which of the coordinates is equal to cos(160)?
Answers
Answer:
Point B is equal to cos(160)
Step-by-step explanation:
160 deg is 160 deg counter-clockwise angle from +x-axis.
Hope this helps!
:)
Answer:
x coordinate of point B
Step-by-step explanation:
yw
(10 points!!) help please
Answers
Answer:
66
Step-by-step explanation:
If f(x) = 7x and g(x) = 3x+1, find (fºg)(x).
Answers
Answer:
21x+7
The value of (fog)(x) is, 21x+7
Step-by-step explanation:
Given the functions:
f(x) = 7x
g(x) = 3x+1
We have to find (fog)(x)
(fog)(x) = f(g(x))
substitute the function g(x) we have;
(fog)(x) = f(3x+1)
Replace the value of x from 3x+1 in f(x) we have;
(fog)(x) =7(3x+1)
⇒(fog)(x) = 21x+7
Therefore, the value of (fog)(x) is, 21x+7
