In a survey conducted on 200 people, it was found that 105 of them prefer coffee, 50 prefer
tea and the remaining prefer both. Find the fraction of people who prefer both tea and coffee.
Given:
Total number of people = 200
People who prefer coffee = 105
People who prefer tea = 50
The remaining prefer both.
To find:
The fraction of people who prefer both tea and coffee.
Solution:
The number of remaining people who prefer both tea and coffee is
Remaining people = Total number of people - People who prefer coffee - People who prefer tea
Remaining people = 200 - 105 - 50
= 45
Now, the fraction of people who prefer both tea and coffee is
[tex]\text{Required fraction}=\dfrac{\text{Remaining people}}{\text{Total number of people}}[/tex]
[tex]\text{Required fraction}=\dfrac{45}{200}[/tex]
[tex]\text{Required fraction}=\dfrac{9}{40}[/tex]
Therefore, [tex]\dfrac{9}{40}[/tex] of people prefer both tea and coffee.
what is the value of a + b(4c + 2a)?
Answer:
Step-by-step explanation:
You can't find an exact value, but you can find an simpler expression by using the distributive property.
a + 4bc + 2ab
And that is as much as it can be reduced.
I need a lot of help please ):
And if u don’t know the answers do not comment anything because i'm really looking for help!
Answer:
The answer are
CX=10/3
ML=76
Step-by-step explanation:
NUMBER 4
We know that the averages are divided 1 to 2 by the base
[tex]then \: \\ xc = \frac{1}{3} xf \\ = \frac{1}{3} \times 1 0 = \frac{10}{3} [/tex]
NUMBER 5
[tex]ml = \frac{2}{3} mr \\ then \\ 10x - 4 = \frac{2}{3} (12x + 18) \\ 30x - 12 = 24x + 36 \\ 6x = 48 \\ x = 8 \\ then \\ ml = 10 \times 8 - 4 = 76[/tex]
answer my question PLEASE
Answer:
jahshh83828
Step-by-step explanation:
iwhdbwowhei2kdhe829274
Simplify
(x + 3)^8
(x + 3)^5
Answer:
1. Expand the expression.
x^8+24x^7+252x^6+1512x^5+5670x^4+13608x^3+20412x^2+17496x+6561
2. (x+3)^5
Use the Binomial Theorem.
x^5+5x^4⋅3+10x^3⋅3^2+10x^2⋅3^3+5x⋅3^4+3^5
Simplify each term.
x^5+15x^4+90x^3+270x^2+405x+243
Step-by-step explanation:
hope it is helpful....
Answer:
42x
Step-by-step explanation:
On Monday, the baker makes 35 blueberry muffins.
What is the total number of muffins that the baker makes on Monday?
Answer:
We don't know
Step-by-step explanation:
enWe know that the baker makes 35 BLUEBERRY muffins BUT we do not know how many OTHER muffins he makes. If he just has blueberry, then he would be making 35.
Hope this helps! Have a great day :)
Exponent shown below
The diagram shows two right-angled triangles. PQR and QST are straight lines. It is given that sin x = [tex]\frac{15}{17}[/tex] . Find the value of cos y.
Step-by-step explanation:
[tex] \sin(x) = \frac{15}{17} = \frac{23 + c}{34} \\ 34 \times 15 = 17(23 + c) \\ 510 = 391 + 17c \\ 17c = 119 \\ c = 7[/tex]
[tex] \sin (y) = \frac{7}{25} \\ y = 16.26 \\ \cos(16.26) = \frac{ \alpha }{25} \\ 0.96 = \frac{ \alpha }{25} \\ \alpha = 24 [/tex]
[tex] \cos(y) = \frac{24}{25} [/tex]
In ΔJKL, l = 920 inches, j = 880 inches and ∠K=157°. Find the length of k, to the nearest inch.
Answer:
1764
Step-by-step explanation:
Answer:
1764
Step-by-step explanation:
Delta Math
A rectangle measures 2 1/3 inches by 1 2/3 inches. What is its area?
Please simplify to a fraction and make sure its a whole and a fraction, not just the fraction!
:D
Answer:
i alr answered this correctly
Step-by-step explanation:
3 4/5
help please!!!!!!!!! Which image is a reflection of the black polygon in quadrant I?
On a coordinate plane, the black polygon is reflected across the y-axis to form the red polygon.
the black polygon in quadrant I
the red polygon in quadrant II
the blue polygon in quadrant III
the green polygon in quadrant IV
Answer:
The red polygon
Step-by-step explanation:
Think of the quadrants:
The "top right" one is quadrant I
The "top left" one is quadrant II
The "bottom left" one is quadrant III
The "bottom right" one is quadrant IV
When it says "reflected across y-axis", think of the y-axis as a "mirror"
Since the black polygon is in quadrant I, think of it looking into the mirror, or y axis. It is reflecting into quadrant II.
The red polygon is in quadrant II.
Sorry! I know this is a really weird explanation, but hope it helps!
Answer: The answer is the red polygon in quadrant ll (B)!
- just like the person above
Step-by-step explanation:
Set up a system of equations for the following situation: The girls basketball team spent a total of $1,590 on new basketballs and sweat suits for the players. If each new basketball cost $30 and each sweat suit cost $90, how many of each did the team purchase? *
Answer:
there are 13 players in a team
You select a marble at random and then put it back. If you do this eight times, what is the best prediction possible for the number of times you will pick a red marble?
Answer:
1/8
Step-by-step explanation:
(10^2 )^3
i need some help
Answer: 10^6
Step-by-step explanation:
When you take a power to a power, you can multiply the two powers:
10^6
Answer:
10^6 hope this helps you
i need help what is 5/6 divided by 3? any good answers ??
Answer: 5/18
Step-by-step explanation:
Answer:
1 remainder 2 or 1 2/3
Step-by-step explanation:
this is the answer
you read 165 pages in 3 hours find the unit rate
Answer:
55 pages per hour
Step-by-step explanation:
You divide 165 by 3 = 55
solve 1.9(2x + 1) = 22x + 13
the answer is: x= -111/182
Answer:
x= -0.60989010989
Step-by-step explanation:
PLS HELP ASAP!!! 30 POINTS (a) What is m<3 ? (b) What is ?
PICTURE BELOW PLS ANSWER IN COMPLETE SENTENCES
Answer:
ACTUA,LY ITS
Step-by-step explanation:
2222
Step-by-step explanation:
angle 3 = 180-20-57 =103
angle 4 = 180 - 103 = 77
find an equation of line containing (3, -4) and having slope -2. if this line contains the points (a, 8) and (5, b) find a and b
Answer:
a = -3
b = -8
Step-by-step explanation:
Equation for a line is:
y-coordinate = (slope * x-coordinate) + y-intercept
For (3, -4): -4 = (-2 * 3) + y-intercept
y-intercept = 2
Equation for all points on this line is:
y = -2*x + 2
For (a, 8): 8 = (-2 * a) + 2
For (5, b): b = (-2 * 5) + 2
Which pair of fractions is not equivalent fractions?
A.1/9,2/18
B.7/8,5,6
C.3/16,9/48
D.6/15,4/10
Answer:
b is correct
Step-by-step explanation:
as 7/8 can't be further simplified and it is not making equivalent with 5/6
hope it helps you
please mark me as brainlist
(2x6)+(8+4)+1
With explanation
Answer: 25
Step-by-step explanation:
6 x 2 = 12
8 + 4 = 12
therefore, (2 x 6) + (8 + 4) + 1 = 12 + 12 + 1
which gives 25
Alternate interior and alternate exterior angles can be congruent
True or false
Plss answer
Answer:
it's false
Step-by-step explanation:
hope it's correct
Please help ASAP I need this right now
Answer:
You have to look closely and you will find The letters D and C on the bottom of the triangle. D is kinda on the right and C is on the left. Hope this helps.
Step-by-step explanation:
Evaluate the expression for p = 9!
Answer:
362880
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!! (100 POINTS)
(05.01 MC)
A kite is a quadrilateral with two pairs of adjacent, congruent sides. Prove the two angles between the non-congruent sides are congruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted. (10 points)
17x>−17.................
Answer:
Divide each term in 17x > −17 by 17.
17x/17 > −17/17
Cancel the common factor of 17.
x > −17/17
Divide −17 by 17.
x > −1
The result can be shown in multiple forms.
Inequality Form:
x > −1
Interval Notation:
( −1 , ∞ )
Step-by-step explanation:
Helppppppp meeeeeee pleaseeeeee asappp
Answer:
C
Step-by-step explanation:
open circle, arrow pointing left
help me pls im desperatew :p
Answer:
E)
Step-by-step explanation:
Because its gonna be a negative number and while using letters you should not use negative numbers you should use positive numbers or decimals
:) good luck
is this right if it's not can you help me please
Answer:
I think its right. It look good to me. But always make sure its right before submitting
Which is an example of a function?
the distance to school and the time you spend at school
the price of a piece of cloth and the length of the cloth
the price of a movie ticket and the height of the customer
the time it takes to mow a lawn and the age of the person mowing the lawn
Answer:
The price of a piece of cloth and length of cloth.
Step-by-step explanation:
A function must be measurable, attainable, and reasonable and the variables must complement each other
Measuring the distance to and time spend at school doesnt complement each other
The price of a movie ticket doesn't change based on height
Mowing a lawn doesnt matter how old you are
The price of cloth can change based on how long or short the cloth is.Shorter clothes are cheaper, while Longer clothes are more expensive.
Answer:
The example of a function is:
The price of a piece of cloth and the length of the cloth.
Step-by-step explanation:
We know that a function is a relation in which each element of a set is mapped to a single element of the other set.
i.e. an element has just one image.
1)
The time it takes to mow a lawn and the age of the person mowing the lawn.
This is not a example of function since, the time taken by two person's of different age may be same to mow a lawn.
This means that there is more than one image of a single element i.e. time.
2)
The distance to school and the time you spend at school.
The time one spend at school at different days may be different even if the distance to school is same.
3)
The price of a movie ticket and the height of the customer.
Two person's with different height will buy a movie ticket at the same cost.
Hence, this relation won't be a function.
4)
The price of a piece of cloth and the length of the cloth.
As we know that the price of a cloth is fixed according to the length.
Hence, the relation is a function.
( As corresponding to each price we have a unique length if a piece of clothing )
