There are 75 people who like at least one of the drinks.
Let's denote:
A = number of people who like tea
B = number of people who like coffee
C = number of people who like neither tea nor coffee
From the given information, we know that:
A + B = 60 (The total number of people in the group is 60)
C = (1/2)B (The number of people who like neither tea nor coffee is half the number of people who like coffee)
C = (1/2)A (The number of people who like neither tea nor coffee is half the number of people who like tea)
To solve this problem, we'll need to find the values of A, B, and C.
From equations 2 and 3, we have:
(1/2)B = (1/2)A
Multiplying both sides by 2, we get:
B = A
Now we can substitute B = A into equation 1:
A + A = 60
2A = 60
A = 30
Now we know that A = 30, B = A = 30.
To find C, we can use equation 2 or 3:
C = (1/2)B = (1/2)(30) = 15
Therefore, the number of people who like at least one of the drinks (tea or coffee) is:
A + B + C = 30 + 30 + 15 = 75
So, there are 75 people who like at least one of the drinks.
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Find the slope of a line that passes through the points (-1, -3) and (2, -2).
Answer:
Step-by-step explanation:
(-2 + 3)/(2 + 1) = 1/3 is the slope
10 POINTS FOR WHOEVER ANWSERS!
Answer:
Infinitely many solutions
Step-by-step explanation:
Greg’s family went to the movie theater and bought tickets and popcorn. They spent $35 altogether with $9.50 spent on popcorn. Write an equation that can be used to find out how much money x they spent on tickets.
Answer:
x + 9.50 = 35
Step-by-step explanation:
The missing variable in this case is the number of dollars they spent on tickets. In total, combined the tickets and popcorn is equal to 35$,
We already know the amount they spent on popcorn.
X, the amount they spent on tickets + 9.50=35
Please I need the answer ASAP
Answer:
option C is correct answer of this question
Answer:
the answer is c 2 teaspoons
Step-by-step explanation:
if you divide 84 by 21 you would get 4. then you multiply 1/2 by 4 and get 2 teaspoons.
help help please!!!! thank youuu
Answer:
*Most of these, you just have to get the variable by itself. To check, put the answer in for the letter.*
1. b+8=14
Subtract 8 from both sides
b=6
Check: 6+8=14 ——— 14=14
2. 25-t=15
Subtract 25 from both sides
-t = -10 ––Divide both sides by -1
t=10
Check: 25-10=15 ——— 15=15
3. 9p=81
Divide both sides by 9 to get p alone
p=9
Check: 9(9)=81 ——— 81=81
4. y/7= 2
Multiply both sides by 7 to cancel out the fraction
y=14
Check: 14/7=2 ——— 2=2
5. y+6=10
Subtract 6 from both sides
y=4
Check: 4+6=10 ——— 10=10
6. f-4=9
Add 4 to both sides
f=13
Check: 13-4=9 ——— 9=9
7. 8d=48
Divide both sides by 8 to get d alone
d=6
Check: 8(6)=48 ——— 48=48
8. 10 = r/5
Multiply both sides by 5 to cancel out the fraction
50 = r
Check: 10=50/5 ——— 10=10
9. 15=x/3
Multiply by 3 to cancel out the fraction
45=x
Check: 15=45/3 ——— 15=15
PLEASE EXPLAIN HOW U DID IT, giving brainliest
9514 1404 393
Answer:
(b) 30
Step-by-step explanation:
The standard form of a quadratic is ...
y = ax^2 +bx +c
For such a function, the axis of symmetry is ...
x = -b/(2a)
Your quadratic function has a=-5, b=+300, so the axis of symmetry is ...
x = -300/(2(-5) = 30
The peak of the curve is on the axis of symmetry. So, profit is maximized when 30 items are produced.
_____
Of course, a graphing calculator can display the maximum of the function easily.
use greatest common factor and distributive property to write equivalent expressions 5x+20y
Answer:
I think it is 5 if I did it right
S
Solve the inequality.
20 + 8.1 > 28
Answer:
You can't solve since there is no variables
The inequality from the question is true
El perímetro de un rectángulo es 36cm Uno de los lados es 6cm más que el otro lado ¿ Cual es el área del rectángulo?
help this makes no sense to me and its due in 1 day
First we can find the line RT which is the square root of 40^2-32^2 which is equal to 24.
RT=24
Right Triangle Altitude Theorem Part: The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.
The geometric mean of 32 and TS is 24, so set up equation.
2nd root or square root of 32*TS=24
32*TS=576
TS=18
QS=18+32=50
I hope this answer helped if you have any questions feel free to ask me in the comments.
One coffee and two slices of cake cost 8 dollars in total. Two coffees and 3 slices of cake cost 14 dollars in total. What are the individual prices of one coffee and of one slice of cake?
Answer:
Step-by-step explanation:
coffee=c
cakes=d
c+2d=8
2c+3d=14
c=8-2d
2(8-2d)+3d=14
16-4d+3d=14
-d=-2
d=2
c+4=8
c=4
coffee=4 dollars each
cakes=2 dollars each
The price of coffee is $4 and price of slice of cake is $2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
One coffee and two slices of cake cost 8 dollars in total.
Two coffees and 3 slices of cake cost 14 dollars in total.
let the price of coffees sold be x
let the price of slices of cake sold be y
Then, the system of equations are
x+ 2y = 8
2x+ 3y = 14
On solving
2(8- 2y)+ 3y= 14
16 - 4y + 3y= 14
-y= -2
y= 2
and, x = 8- 2(2)= 8- 4= 4
Hence, price of coffee is $4 and price of slice of cake is $2.
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The town of Passaic had 58,753 people in 1990 and 71,509 people in 2014.
PART A: Find the percent change in population. Explain/Show your
work.
PART B: Was it a percent increase or decrease? Explain how you know.
please help mee
Answer:
21.71% increase
Step-by-step explanation:
increase = Increase ÷ Original Number × 100
12756/58753*100
0.217112318*100
21.71% increase.
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If Danielle can spend no more than $75 on clothes, and wants a pair of shoes for $40 and will spend the rest of the money on $12 scarves, what is her rate of change ?
Answer:
$6
Step-by-step explanation:
$75 - $40 = $30
With $30, the maximum number of scarves you can get is 2.
$30 - $24 = $6
Hope that helps!
Step-by-step explanation:
$6
the max number of scarves she can get is 2
hope this helps
The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The are of the resulting rectangle is 90ft^2. Find the original area of the square.
Answer:
64 ft^2
Step-by-step explanation:
(x+7)(x-2)=90
x^2-2x+7x-14=90
x^2+5x-104=0
factor
(x+13)(x-8)=0
x=-13
x=8 ft original square side
area=8x8=64
Answer:
64 ft^2
Step-by-step explanation:
PLS CAN SOMEONE HELP ME PLS
Answer:
20 m
Step-by-step explanation:
Let the length of the perpendicular dropped from vertex C to segment AB be x
By geometric mean property:
[tex]x = \sqrt{16 \times 9} \\ \\ x = \sqrt{144} \\ \\ x = 12 \: m \\ \\ By \: Pythagoras \: Theorem: \\ \\ Distance \: across \: the \: pond \\ \\ = \sqrt{ {16}^{2} + {12}^{2} } \\ \\ = \sqrt{256 + 144} \\ \\ = \sqrt{400} \\ \\ = 20 \: m[/tex]
Find the missing part .
I don't remember how to do this question,
also I'm really sorry I keep posting alot of math stuff today, I just have a lot of math that needs to get done today, I'd rather not spend my whole weekend doing school work LOL
Answer:
x and p equal 92 and y equals 88
A number line going from negative 3 to positive 3 in increments of 1.
Which statements are true? Check all that apply.
Negative 2.5 = negative 2 and one-half
–1.5 > –0.5
–0.5 < 0
–2.5 < –2
1 and one-half greater-than 1.5
Answer:
1., 3., and 4.
Step-by-step explanation:
It's C.
Or how other people say it,
3 or –2.5 < –2
find the common factors of the given terms 1. 12x, 36. 2. 2y, 22x. 3. 14pq, 28p^2 q^2
Answer:
answer 1. 12. 2nd is 2. and 3rd is 14pq
hope it helps
Please help!!
Given f(x) = 3x-4 and g(x) = 2x+6 , find (fog)(x)
Answer:
[tex](f\circ g)(x)=6x+14[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=3x-4\text{ and } g(x)=2x+6[/tex]
And we want to find:
[tex](f\circ g)(x)[/tex]
This is equivalent to:
[tex]=f(g(x))[/tex]
Then by substitution:
[tex]=f(2x+6)=3(2x+6)-4[/tex]
Evaluate:
[tex]=f(g(x))=6x+18-4=6x+14[/tex]
Therefore:
[tex](f\circ g)(x)=6x+14[/tex]
verify that the segments are parallel
Answer:
We know that lines AB and CD are parallel because if you expand them, we know they will never touch.
Step-by-step explanation:
Extra 13 points on this
Answer and Step-by-step explanation:
This graph is linear. The graph would look like this:
#teamtrees #WAP (Water And Plant) #PAW (Plant And Water)
#PAWG (Plant And Water Gang)
Subtract the following polynomials
1. (q² + 8) - (4q² + 1)
2. (3x + 7x² - 6) - (5x² + x + 9)
Answer:
1. (q² + 8) - (4q² + 1)
Simplify each term.
q²+8−4q²−1
Simplify by adding terms.
−3q²+7
2. (3x + 7x² - 6) - (5x² + x + 9)
Simplify each term.
3x+7x²−6−5x²−x−9
Simplify by adding terms.
Tap for more steps...
2x²+2x−15
Step-by-step explanation:
please help me on this will give you brainliest
Answer:
7.76 × 10^8
Step-by-step explanation:
Answer:
i think i would be 1.94x10^8
Step-by-step explanation:
Name the triangle
Please help fast
Answer:
B. Equilateral
It is an equilateral triangle
As we can see all sides are equal.
Equilateral Triangle
Step-by-step explanation:
Find the area. Simplify your answer.
Answer:
x = 26
Step-by-step explanation:
it is a right angle so
(x+4)3=90
3x+12=90
-12 -12
3x = 90-12
3x = 78
/3 /3
x = 26
Line G has a slope of -2/3. Line age is perpendicular to G. What is the slope of line h?
Perpendicular lines has negative reciprocal slopes.
"Negative reciprocal" is just a fancy way of
saying flip the fraction and change the sign.
So flipping the fraction gives us -3/2 and change the sign to get +3/2.
Last year there were 80 members in chess club this year membership decreased by 20% how many members are there? Sorry
Answer:64 people
Step-by-step explanation: total no. of members=80
%decrease=20
20/100 x 80=16(people that left)
people rem.=80-16
Select all names that apply to the number 3/7
Answer:
WYM
Step-by-step explanation:
can anyone help me create 3 Algebra Word Problems