Answer:
Step-by-step explanation:
Netan surveyed 460 teenagers to find out their favorite type of movie. He found that 45% of the teenagers surveyed like comedies.
Part A: How many teenagers surveyed like comedies? Show your work. (4 points)
Part B: In another survey, Hannah found that 50% of the total number of teenagers surveyed like thrillers. If 40 teenagers like thrillers, what is the total number of teenagers that Hannah surveyed? Show your work. (4 points)
Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)
Question 3 options:
Answer with step-by-step explanation:
A: 207
We know that percentage is out of 100, so we can divide 460 by 100 to find 1%, which is 4.6. We also know 45% percent of teenagers like comedies, so we multiply 4.6 by 45, or 207. 207 teenagers like comedies.
B. 80 teenagers
We know that 50% of teens Hannah surveyed like thrillers. We also know that 40 teenagers like thrillers. Using multiplication, we can multiply 40 by 2, since 50% is half, we need to multiply by 2 to get the total number of teenagers. Hannah surveyed 80 teenagers.
C. Jamie went to the candy store and spent his entire allowance of $20 on candy. His friends gave him $5 more dollars, so he bought candy with that too. He spent 125% of his allowance on candy.
The number of teenagers who like comedy is 207, and The total number of teenagers Hannah surveyed is 100.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Given:
Netan surveyed 460 teenagers, He found that 45% of the teenagers surveyed like comedies,
(a) Calculate the number of teenagers who like comedy as shown below,
The number of teenagers who like comedy = 45 × 460 / 100
The number of teenagers who like comedy = 207
(b) Calculate the total number of teenagers as shown below,
The total number of teenagers × 50% = 40
The total number of teenagers = 40 × 100 / 40
The total number of teenagers = 100
To know more about percentages:
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Ratio. Proportion and many method d) 15 workers were employed to complete a piece of work in 36 days. How many more workers should be added to complete the work in 30 days?
Answer:
Step-by-step explanation:
total of 15(36) = 540 person•hours was used
540 / 30 = 18 people
18 - 15 = 3 people need to be added
If one of the factors of r ^ 2 + 21r + 98 is r + 7 , what is the other factor?
Answer:
i think factor the expression (r+7)(r+14) is answer
Step-by-step explanation:
Answer:
(r + 14)
Step-by-step explanation:
When factoring a trinomial in the form of:
[tex]ax^2+bx+c[/tex]
you need to find 2 numbers that multiply to make ac and add to make b. Here, we need to find 2 numbers that multiply to 98 and add to 21. First, list the factors of 98:
1, 98
2, 49
7, 14
and the reverse of all of those is also true.
Now find factors that add to 21. In this case, those are 7 and 14. You need to break the middle term in the trinomial into those 2 numbers:
[tex]r^2+21r+98\\r^2+7r+14r+98[/tex]
Finally, you can factor each half of this individually.
[tex](r^2+7r)+(14r+98)\\r(r+7)+14(r+7)\\(r+14)(r+7)[/tex]
We were already given (r + 7), so the answer is (r + 14).
Please help I don't understand
| X = 2 | Y = 3 | Z = 4 |
Evaluate the expression using the solutions above
5x + 6z + 2y
Answer:
The expression can be written as:
5(2) + 6(3) + 2(4).
if I'm wrong, please tell me
guys pls ı need help really....
Answer:
Step-by-step explanation:
Calculus....finally something FUN to answer!
This is integration, but here you have the area under the curve, you just don't have the upper bound. Setting that problem up looks like this:
[tex]28=\int\limits^b_1 {7x} \, dx[/tex] and using the First Fundamental Theorem of Calculus, that will integrate to look like this:
[tex]28=\frac{7x^2}{2}[/tex] from 1 to b and applying the FTC:
[tex]28=\frac{7b^2}{2}-\frac{7}{2}[/tex] Multiplying everything by 2 to get rid of the denominators gives you:
[tex]56=7b^2-7\\\\56=7(b^2-1)\\8=b^2-1\\9=b^2\\b=3[/tex]
Which product is negative?
Answer:
it is (3/8)( -5/7)(-1/4)
if ot it should be the one that is all postitive
What amount of a 40% acid solution must be mixed with 200 mL 10% solution to produce a 20% solution?
Answer:
Step-by-step explanation:
(x + 200)20 = 200(10) + x(40)
20x + 4000 = 2000 + 40x
2000 = 20x
X = 100 mL
Pls help will give brainliest
Answer:
247 ft is the correct answer
please help me in this question
3(x-2)=2x+10
Answer:
[tex]3(x-2)=2x+10\\3x-6=2x+10 | +6\\3x=2x+16 | -2x\\x = 16[/tex]
30.
a) [tex]180^{0} - 134^0-22^0=24^0[/tex]
[tex]r=24^0[/tex]
b)
[tex]90^0=2x^0+3x^0\\90^0=5x^0 |:5\\x^0=18^0[/tex]
[tex]2x^0= 2* 18^0=36^0[/tex]
[tex]3x^0=3*18^0=54^0[/tex]
Take care!
Find the value of x need help
Answer:
x = 13
Step-by-step explanation:
180-52=10x-2
130=10x
13=x
Please help me with this question and how to break even!
Answer:
The blogger needs at least 189subscribers to break even
A.
x y
0 3
1 5
2 7
3 9
4 11
B.
x y
0 0
1 6
2 12
3 18
4 24
C.
x y
0 0
1 -3
2 -6
3 -9
4 -12
D.
x y
0 1
1 3
2 6
3 10
4 15
Which table(s) show x and y in DIRECT PROPORTION?
A)A and B only
B)B and C only
C)C and D only
D)D and A only
Answer:)
Step-by-step explanation:
If Sandy memorizes 9 verses every 2 days, how many verses will Sandy memorize in 4,6, and 8 days. Write equivalent ratios to show the answer.
Answer:
4 Days = 18
6 Days = 27
8 Days = 36
4:18
6:27
8:36
Step-by-step explanation:
Answer:
4 days: 18 verses
6 days: 27 verses
8 days: 36 verses
Step-by-step explanation:
If Sandy memorized 9 verses every 2 days then to find how many she can memorize in 4, 6 and 8 days you multiply.
2 days: 9 verses (Multiply 2 times 2 to get how many she can memorize in 4 days. Multiply 2 times 3 to get 6 days. Multiply 2 times 4 to get 8 days. Then multiply the number of verses with the same number you multiplied the number of days.)
4 days: 18 verses
6 days: 27 verses
8 days: 36 verses
What number group includes only the counting number and 0
Answer:
Integers
The set of numbers including all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero)
Which inequality is shown in this graph?
(-2, 2.
• (0-2)
A. Y=2x-2
OOC
B. y 2 - 2x - 2
c. y = 2x - 2
D.VS - 2x - 2
good night lol
what ever..........
Answer:
night.....
Step-by-step explanation:
..............
Good night, can someone please help me?
I Think Operation A is write
[tex]prove that\ \textless \ br /\ \textgreater \ \frac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } = \frac { 1 + \sin \theta } { \cos \theta }[/tex]
pls i want the answwr as fast u can
ASAP !
MisterBrainly Answer Please :((((
0r any top user
who will answer correctly he will be a good user
plz answer
[tex] \large \bigstar \frak{ } \large\underline{\sf{Solution-}}[/tex]
Consider, LHS
[tex]\begin{gathered}\rm \: \dfrac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } \\ \end{gathered}[/tex]
We know,
[tex]\begin{gathered}\boxed{\sf{ \:\rm \: {sec}^{2}x - {tan}^{2}x = 1 \: \: }} \\ \end{gathered}
\\ \\ \text{So, using this identity, we get}
\\ \\ \begin{gathered}\rm \: = \:\dfrac { \tan \theta + \sec \theta - ( {sec}^{2}\theta - {tan}^{2}\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered}[/tex]
We know,
[tex]\begin{gathered}\boxed{\sf{ \:\rm \: {x}^{2} - {y}^{2} = (x + y)(x - y) \: \: }} \\ \end{gathered} \\ [/tex]
So, using this identity, we get
[tex]\begin{gathered}\rm \: = \:\dfrac { \tan \theta + \sec \theta - (sec\theta + tan\theta )(sec\theta - tan\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered}[/tex]
can be rewritten as
[tex]\begin{gathered}\rm\:=\:\dfrac {(\sec \theta + tan\theta ) - (sec\theta + tan\theta )(sec\theta -tan\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac {(\sec \theta + tan\theta ) \: \cancel{(1 - sec\theta + tan\theta )}} { \cancel{ \tan \theta - \sec \theta + 1} } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:sec\theta + tan\theta \\\end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac{1}{cos\theta } + \dfrac{sin\theta }{cos\theta } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac{1 + sin\theta }{cos\theta } \\ \end{gathered}[/tex]
Hence,[tex]\begin{gathered} \\ \rm\implies \:\boxed{\sf{ \:\rm \: \dfrac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } = \:\dfrac{1 + sin\theta }{cos\theta } \: \: }} \\ \\ \end{gathered}[/tex]
[tex]\rule{190pt}{2pt}[/tex]
HELPPPPPPPPPPPPPPPPPPPPP
Answer: b
Step-by-step explanation: graph b is correct hope it helps
0.15% of what number is 10.5
Answer:
70
Step-by-step explanation:
10.5/0.15 = 70
Check:
70 · 0.15 = 10.5
Find the intersection point for the following linear functions.
Rx) = 2x + 3
8(x) = -4x - 27
Answer:
(-5, -7)
Step-by-step explanation:
Answer:
[tex](-5,-7)[/tex]
Step-by-step explanation:
[tex]f(x)=2x+3[/tex]
[tex]g(x)=-4x-27[/tex]
[tex]2x+3=-4x-27[/tex]
[tex]6x+3=-27[/tex]
[tex]6x=-30[/tex]
[tex]x=-5[/tex]
[tex]f(-5)=2(-5)+3[/tex]
[tex]f(-5)=-10+3[/tex]
[tex]f(-5)=-7[/tex]
Therefore, the point of intersection is [tex](-5,-7)[/tex]
find the answer
fast
Answer:
i) 5y
Ii) 5y-3
iii) 5y×6
Iv)
WILL GIVE BRAINLIEST
What decimal is equivalent to -3 3/20?
Answer:
3 3/20 is equal to 3.15 in decimal form.
Step-by-step explanation:
Answer:
A. -3.15
Step-by-step explanation:
this isn't much but i really like math xD hope this helps! :) (please pick as brainlyist)
pls help anyone know dis
Answer:
1st one:5≥x>-infinity
2nd one :5<x<+infinity
3rd one :5>x>- infinity
Given ω=[tex]\frac{3-2i}{5-6i}[/tex] , find ω in the a+bi form.
Answer:
Solution is given in the photo
PLZZZ HELP, BEST ANSWER GETS BRANLIEST AND ITS DUE IN 5 MINUTESSS,
The figure shows two triangles on the coordinate grid:
Which of the following statements is true about the three quadrilaterals? (5 points)
A and B are similar but not congruent.
A and C are similar but not congruent.
A and B are similar and also congruent.
B and C are similar and also congruent.
Answer:
The first one
Step-by-step explanation:
A and B are similar because the proportions are the same.
A is congruent to C but none of the answers ask that.
someone pleaseeee answer!!!
Answer:
7.79
Step-by-step explanation:
in 30, 60, 90 triangle, hypotenuse is equal to "2x", shortest length is equal to "x" and second longest is equal to "x × square root of 3". hope this helps
Three Snickers bars and two Butterfinger bars contain a total of 23 grams of protein. One Snickers bar and one Butterfinger bar contain a total of 10 grams of protein. How much protein does one Snickers bar contain?
Answer:
.
Step-by-step explanation:
1) A museum borrows $2,000,000 at simple annual interest to purchase new exhibits. Let x represent the amount borrowed at 7%, y represent the amount borrowed at 8.5%, and z represent the amount borrowed at 9.5%. Set up a system of linear equations to determine how much is borrowed at each rate given that the total annual interest is $169,750 and the amount borrowed at 8.5% is four times the amount borrowed at 9.5%. Then write the system in matrix form. You do not have to solve the system.
Based on the information the amount borrowed at each rate is:
Z=9.5%=$350,000Y= 8.5%=$1,400,000X=7% =$250,000Let x=9.5%
Let 4x= 8.5%
Let 7% =$2,000,000 - 5x
Formulate
0.095x + 0.085(4x) + 0.07(2,000,000-5x) = 169,750
Collect like terms
0.095x + 0.34x + 140,000 - 0.35x = 169,750
Divide both side by 0.085x
0.085x = 29,750
x=29,750/0.085
x =$350,000
Amount borrowed at each rate:
Z=9.5% =$350,000
Y= 8.5% =$350,000×4
Y= 8.5% =$1,400,000
X=7% =$2,000,000 - 5($350,000)
X=7%=$2,000,000-$1,750,000
X=7% =$250,000
Matrix form
Z $350,000
Y $1,400,000
X $250,000
Inconclusion the amount borrowed at each rate is: $350,000; $1,400,000; $250,000.
Learn more about amount borrowed here:https://brainly.com/question/24576997
y-5=2(x-3) slope intercept.
Answer:
y=2x-1
Step-by-step explanation:
Because this equation is in point-slope form and we need it in slope-intercept form, all we need to do is simplify y-5=2(x-3).
y-5=2x-6 Distribute.
+5 +5 Add 5 to both sides of the equation.
y=2x-1
Hope this helped! Have a great day ♥