Answer:
12 students like only coffee
12 students like neither of the drinks
Step-by-step explanation:
There are 70 students in total. 40 of them line tea, 24 of them like coffee, and 12 of them like both drinks.
Let's go reasoning step by step.
a.We have 24 students who like coffee, and we know 12 of them also like tea. The number of students who like only coffee is the difference between those numbers: 24 - 12 =12
12 students like only coffee
b.With similar reasoning as for part a, 40 students like tea, 12 of which also like coffee, then 40 - 12 = 28 students like only tea.
We have a total of 12 students who like only coffee, 28 students who like only tea, and 12 students who like both. In total there are 12 + 28 + 12 = 52 students who like any or both drinks.
Since there are 70 students in all, we can say 70 - 58 = 12 students don't like coffee nor tea.
12 students like neither of the drinks
What is the exact value of Tangent (StartFraction pi Over 12 EndFraction)
Answer:
a
Step-by-step explanation:
just did it and got right
The required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.
These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operation.
Let,
= [tex]tan(\pi /12) = tan((3-2)\pi /12)[/tex]
[tex]= tan[(3\pi -2\pi )/12]\\=tan(3\pi /2-2\pi /12)\\=tan(\pi /4-\pi /6)\\=\frac{tan(\pi/4)-tan(\pi/6)}{1+tan(\pi/4)tan(\pi/6)}[/tex]
= [tex]\frac{1-1/\sqrt{3} }{1+1*1/\sqrt{3} } \\[/tex]
[tex]=\frac{(\sqrt{3}-1)/\sqrt{3}}{(\sqrt{3}+1))/\sqrt{3}}[/tex]
[tex]=\frac{(\sqrt{3}-1)}{(\sqrt{3}+1)}\\=\frac{(\sqrt{3}-1)(\sqrt{3}+1)}{(\sqrt{3}+1)(\sqrt{3}+1)}\\=\frac{(3-2\sqrt{3}+1)}{(3-1)}\\\\=\frac{(4-2\sqrt{3})}{(2)}\\={(2-\sqrt{3})}\\[/tex]
Thus, the required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.
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Hi, PLEASE DO NOT REPORT. THIS IS FOR MY LEADERSHIP CLASS IT'S VOLUNTEER FRIDAY. PLEASE BE APPROPRIATE
Ok so, Hi again this is for the people who are stressed, overwhelmed, and or are under a lot of pressure. comment/answer down below what your stressed, overwhelmed, and or are under a lot of pressure and just talk about it really helps to talk about your problems. You'd feel better about almost like you have some weight lifted off your shoulders.
Answer:
I am stressed about the extreme amount of homework that each of my teachers give me. It is like they don't take into account our mental health. To add on to stress my parents are constantly on me about my grades and my future. I cry at least every night about my homework.
Step-by-step explanation:
Martin traveled at an average rate of 40 miles per hour for the first half of his trip. For the second half of his trip, he traveled at a rate of 60 miles per hour. How far did he travel in the 4-hour trip?
Answer:
Total distance traveled = 200 miles
Step-by-step explanation:
Total time taken for the trip = 4 hours
∴ The trip can be divided into two halves of 2 hours each.
1st half:
speed = 40 miles per hour
distance = speed × time
when time = 2 hours
distance = 40 × 2 = 80 miles
2nd half:
distance = speed × time
speed = 60 miles per hour
time = 2 hours
∴ distance = 60 × 2 = 120 miles
Combined distance traveled = 80 + 120 = 200 miles
2x+3y=122, x, plus, 3, y, equals, 12
Complete the missing value in the solution to the equation.
((left parenthesis
,8),8)
she me he sid sud iebe Howie
pls answer this i will dir
Answer:
59 cuz it's an isosceles triangle (two sides and two angle are equal)
Select the correct answer. Which set of coordinates satisfies the equations 3x-2y= 15 and 4x - y = 207 OA (2-7) OB (1.6) OC (5.0) OD. (0,75).
Answer:
C.) (5,0)
Step-by-step explanation:
You see where the lines cross together. That will be the answer.
pls help im so behind
Answer:
Step-by-step explanation:
3(\sqrt(25)-10)+5 = -10
It's B 3(√25 -10)+5
Answer:
D
Step-by-step explanation:
it is because the brackets at B makes sense when you calculate individually
The new Kyrie 5's Pineapple House shoes came out yesterday. (FOR REAL) They cost $200, but you have a 20% off discount. How much is your discount?
2. 112, 4
1. A(0,0), B(2, 2), C(-2, 0). D(1, -2)
2
3. P-3.3), (1.2). R(3.-3), S(1.-3).
4. D(2.
Answer: 1,3
Step-by-step explanation:
A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people,64 had a mild allergic reaction. What percent of the people had a mild allergic reaction?? Need ASAP
Answer:
1.25% of all the 8,000 people who tried the shampoo had a mild allergic reaction
Step-by-step explanation:
Divide 8,000 by 64 to get the unsimplified percentage
Then put a dot between 1 and 2 to get the percentage to get the percentage, 1.25%
Janiya received a 20% discount on the purchase of a $649 cell phone. What was the
amount of the discounT
Answer:
$129.80
Step-by-step explanation:
Discount: .20 * 649 = 129.80
Select all angles that MUST be congruent to 2
Answer:
Step-by-step explanation:
2 14 17 18 13 6 9 23 21 11 8 6 9 14
This answer assumes that the middle horizontal line is parallel to the other two horizontal lines. It that is not true 14 11 must be removed.
TRANSFORMATIONSS PLS HELP DUE IN AN HOUR
Answer:
transformation across the x axis
Answer:
Reflection over the X-axis
Step-by-step explanation:
That's the only thing I can think of. Can you list the choices, though? It could be a reflection followed by a translation...
Please help!! I have to find x and y!!
Answer:
X= 17.5
Step-by-step explanation:
the outside of the triangle always = 180
so you need to add up all the sides and equal to 180
5x+35+x+5+2x=180
add like terms
8x+40=180
get the x alone
x=17.5
what is..
y=x+3 and y=-1/2x-3
Answer: (-4, -1)
Step-by-step explanation:
4. On the day Alex was born, his father invested $5000 in an account with a 1.2% annual growth rate.
Answer the questions below.
(a) Write a function, A(t), that represents the value
of this investment t years after Alex's birth.
(b) Use your equation to determine how much the
investment will be worth when Alexander turns
21
Please help me
Answer:
A) A(t) = 5000(1 + 0.012)t
B) A(t) = 106260
Step-by-step explanation:
A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.
B) When we plug 21 into the equation, we get 106260.
I hope this helps!
HELP PLEASEEEEEEE ASP!!
WILL GIVE BRAINLIEST ❤️
Find the slope of the line passing through the given
points using the slope formula. Describe the slope as
positive, negative, zero, or undefined.
(-7, -18) and (-7,-4)
Answer:
Step-by-step explanation:
Slope formula= rise over run, or y2-y1 over x2-x1
y2=-4 y1=-18 x2=-7 x1=-7
-4-(-18)/-7-(7)
-22/-14 negative
Answer:
7/11
Step-by-step explanation:
the slope is positive. tell me what happens
help !!! 50 point!!! and brainliest
ITS BASIC POLYGONS :(
please give Sensible answer :'(
URGENT!!!!
I NEED HELP!!!!
(3.2 x 10^4)(1.4 x 10^2)
Evaluate each expression Express result in scientific notation
I need help learning to do this IM GIVING EXTRA POINTS!!!
Step-by-step explanation:
So Scientific Notation is like this.
Ya got a big number that has of 0s . Let's just throw out 69,000,000,000,000
You take the other numbers that arent 0s. Take the first number and put a "." in between it and the second number. So, in this case, you have 6.9, like this.
You then count the number of 0s and +1. So in this case, you'll have 12+1. Which is 13.
You then take the 6.9 and note it with a *10. You then take the 13 and put it on the 10 as an exponent. So in the end youll have 6.9*10^13.
Hopefully, this helps.
With love,
A G 4 2
will give brainlist please help balancing equations
Answer:
cant
Step-by-step explanation:
Answer the question belowww
An angle measures 48 degrees. What is the measure of its supplement?
(b) An angle measures 43 degrees. What is the measure of its complement?
there are 2 parts supplement and complement plz answer both
Answer:
Supplement: 132
Complement: 42
Step-by-step explanation:
I don't really have an explanation, the answer just came to me...Sorry. But hope this helps!
Answer:132
Step-by-step explanation:180-48
Find the longest segment △QRS.
Answer:
QR is the longest segment.
Step-by-step explanation:
The longest side of a triangle is opposite to greatest angle.
m∠QSR = 75° ⇒ QR is the longest segment.
what is the LCM of 80 and 60
Answer:
240
Step-by-step explanation:
Answer:
240
Step-by-step explanation:
What I do is I first multiply the two numbers...
(60 * 80 = 240)
From there I try and find if there is any number lower than the product of these two numbers... if there isn't... then the product is the LCM
Since the only factor between 80 and 240 is 160... that is the only other possible answer... since 160 is not a multiple of 60... the answer can only be 240.
I hope this helps and wasn't too confusing:)
Which table represents a proportional relationship?
Share 3200 ml of water in the ratio 4:1:3
Answer:
1600 ml, 400 ml, 1200 ml
Step-by-step explanation:
Given ratios are: 4:1:3
Let the shares of the given ratios be 4x, x, 3x
[tex] \therefore \: 4x + x + 3x = 3200 \\ \\ \therefore \: 8x = 3200 \\ \\ \therefore \: x= \frac{ 3200}{8} \\ \\ \therefore \: x=400 \\ \\ \implies \\ 4x = 4 \times 400 = 1600 \\ \\ 3x = 3 \times 400 = 1200 \\ \\ [/tex]
Tom”s family of 4 went out to dinner. They spent 46.40 for the meal. They left a tip of 15% and the tax rate is 7 1/4%. What was the total cost of the dinner
Answer:
$57.22
Step-by-step explanation:
Total before Tax: $46.40
Tax rate: 3.36
After 7 1/4 Tax: 49.76
Tip: $7.46
Total: $57.22
Hope this helped! Have a great day!
The table shows the number of coins Kaitlyn has.
penny
4
nickel
9
dime
3
quarter
5
Write the ratio of dimes to all coins that Kaitlyn has as a
fraction in simplest form.
Factor 24x−20 using the GCF.
need it asap!
Answer:
The factor is 4.
Step-by-step explanation:
You can divide both 24 and 20 by 4, leaving you with 6x-5.
Highest common factor should be 4.
Given that,
The equation is 24x - 20.Based on the above information, the calculation is as follows:
Here 24 and 20 should be divisible by 4
So,
= 4(6x - 5)
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If f(1)=7f(1)=7 and f(n)=f(n-1)+2f(n)=f(n−1)+2 then find the value of f(4)f(4).
Answer:
Step-by-step explanation: f1 =7
f2 = 5(7) + 2 = 37
f3 = 5(37) + 2 = 27
f4 = 5(9) + 2 = 47____
The value of f(4)f(4) f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2 is,
121.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2.
By this pattern,
f(4)f(4) = [f(4 - 1) + 2f(4)][f(4 - 1) + 2f(4)].
f(4)f(4) = [f(3) + 2f(4)][f(3) + 2f(4)].
f(4)f(4) = [f(3) + 2(4)][f(3) + 2(4)].
f(4)f(4) = [3 + 8][3 + 8].
f(4)f(4) = [11][11].
f(4)f(4) = 121.
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