Answer:
270
multiply the number by the percentage-
300 x .90= 270 students
An election was held between two persons to select a representative to a certain
institution. All the voters who were registered cast their votes. The winner
received 7/12 of the votes and
won by a majority of 120 votes.
(i) What fraction of the total votes did the person who lost receive?
(ii) How many registered voters were there?
(iii) Find the number of votes the winner received.
9514 1404 393
Answer:
(i) 5/12
(ii) 720
(iii) 420
Step-by-step explanation:
(i) The fraction representing all votes is 12/12. If 7/12 were received by the winner, then the loser received 12/12 -7/12 = 5/12 of the total votes.
The person who lost received 5/12 of the total votes.
__
(ii) The winner won by 7/12 -5/12 = 2/12 = 1/6 of all votes. So, the total number of votes is ...
120 votes = 1/6(total votes)
total votes = 6×120 votes = 720 votes
There were 720 registered voters.
__
(iii) The winner received ...
(7/12)(720 votes) = 420 votes . . . received by the winner
Choose the system of equations to solve the following: Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Determine the total number of adult and student tickets.
Answer:
3 student tickets and 5 adult tickets
Step-by-step explanation:
WILL GIVE BRAINLIEST FOR ANSWER Find the area of the shaded polygons.
Answer:
7.74 cm2
Step-by-step explanation:
We need to find the area of both the square and the circle and then subtract the two. Inscribed means draw within a figure so as to touch in as many places as possible. So the circle is drawn inside the square. The opposite is circumscribed, meaning drawn outside.
Asquare = s2 = 36 cm2 so the side is 6 cm
6 cm is also the diameter of the circle and thus the radius is 3 cm
A circle = πr2 = 3.14 * 32 = 28.28 cm2
The resulting difference is 7.74 cm2
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
A linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
We know that line f(x) passes through points (5, 0) and (10, 10)
Then the slope of f(x) is:
a = (10 - 0)/(10 - 5) = 10/5 = 2
then:
f(x) = 2*x + b
again, knowing that f(10) = 10 (because this line passes through point (10, 10) )
10 = 2*10 + b
10 = 20 + b
10 - 20 = b = -10
Then the equation of this line is:
f(x) = 2*x - 10
Now for g(x) we know that it passes through (-3, 0) and (2, 10)
then the slope is:
a = (10 - 0)/(2 - (-3)) = 10/5 = 2
g(x) = 2*x + b
And knowing that g(2) = 10 (because this line passes through point (2, 10) )
10 = 2*2 + b
10 = 4 + b
10 - 4 = b
6 = b
then:
g(x) = 2*x + 6
Then the equations are:
f(x) = 2*x - 10
g(x) = 2*x + 6
A) One transformation may be a vertical translation, and the other can be a horizontal translation.
This is a vertical translation, which is defined as:
For a function f(x), a vertical translation of k units is written as:
g(x) = f(x) + k
If k is positive, the translation is upwards
if k is negative, the translation is downwards.
And an horizontal translation of k units is written as:
g(x) = f(x - k)
if k is positive, the translation is to the right
if k is negative, the translation is to the left.
B)
For the vertical translation we have:
g(x) = f(x) + k
2*x + 6 = 2*x - 10 + k
6 = -10 + k
6 + 10 = k
16 = k
For the horizontal translation we have:
g(x) = f(x - k)
2*x + 6 = 2*(x - k) - 10
2*x + 6 = 2*x - 2*k - 10
6 = -2*k - 10
6 + 10 = -2*k
16 = -2*k
16/-2 = k
-8 = k
C)
The transformations are:
g(x) = f(x) + 16
or
g(x) = f(x - (-8))
Which expression models the phrase "Wally mowed two more lawns than he mowed last week"? n + 2 n minus 2 2 minus n 2 n
Given:
The phrase is "Wally mowed two more lawns than he mowed last week".
To find:
The expression that models the given phrase.
Solution:
Let the number of lawns mowed by Wally last week be n.
We know that, we use plus sign "+" for "more".
If Wally mowed two more lawns than he mowed last week, then the lawns mowed by the Wally this week is the sum of n and 2.
Lawns mowed this week = [tex]n+2[/tex]
The required expression for the phrase "Wally mowed two more lawns than he mowed last week" is n+2.
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
What is the measure of angle x?
Answer:
x = 55°Step-by-step explanation:
1st Δ = 35°
2nd Δ = 90° ...... ( right Δ triangle )
3rd Δ = let x
35° + 90° + x = 180°
125° + x = 180°
x = 180° - 125°
x = 55°
What would x equal( rounded to the nearest tenth)
Write the equation for the following quadratic relation in standard form:
a= -2 and with a vertex at (-3,4)
Answer:
3x-x+2=4
Step-by-step explanation:
A ray has ................ end point/points.
A. 1
B. 2
C. 3
D. no
Answer:
one
Step-by-step explanation:
Answer:
is is letter a since a ray has only 1 end point
Simplify the left side of the equation.
(x + 10) + (4y - x - 10) = 180°
4y = 180°
y= 45°
Combine like terms.
Divide both sides by 4.
Therefore, x = 14 and y = 45.
Now find the measure of each angle. First, find the measure of ZBMQ. To do so, substitute the
value of x into the expression (x + 10)° and simplify.
(x + 10) = (14+ 10) Substitute.
Add.
Help
Answer:
24
Step-by-step explanation:
14 + 10 = 24.
The Question has given hints.
y=3/4x+2 linear or non linear
Answer:
linear
Step-by-step explanation:
Please help I’m failing all of classes please please please
Answer:
x=39 y=51
Step-by-step explanation:
Step-by-step explanation:
2x = 78 ( they're vertical angles)
divide both sides by 2
x = 39 degrees( I don't if that's correct as I did it in my head so double check) hope this helps!!! MARK BRAINLIEST IF YOU GET IT RIGHT PLEASE!!
(x+4),(x+12),(x-1) and (x+5) are in proportion .find the value of x
Answer:
x = 16
Step-by-step explanation:
(x +4) : (x +12) :: (x-1)(x +5)
As they are in proportion,
Product of means = Product of extremes
(x + 4)* (x +5) = (x + 12)(x - 1) {Use FOIL method}
x*x +x*5 +4*x + 4*5 = x *x + x*(-1) +12*x + 12*(-1)
x² + 5x + 4x + 20 = x² - x +12x - 12 {Now combine like terms}
x² + 9x + 20 = x² + 11x -12
x² + 9x +20 - x² - 11x = -12
x² - x² + 9x - 11x = -12 - 20
0 - 2x = - 32
-2x = -32 {Divide both sides by -2}
x = -32/-2
x = 16
What are the multiples of 2?
Answer:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...
Step-by-step explanation:
Multiple of any number is a number which can be divided exactly by that number. The Multiples of a number are formed by multiplyng it with other numbers like 1,2,3,etc.
In a right triangle, one of the non-right angles is 73 degrees. What is the measure of the other non-right angle?
Galvin bought 3/5 as many non-fiction books as fiction books from a book fair. He read 6 non-fiction books and 13 fiction books. He then had 3/4 as many non-fiction books left to read as fiction books. How many books did Galvin buy altogether?
Answer:
Let total non-fiction books = 3x
And total fiction books = 5x
After reading 6 non-fiction books, remaining non-fiction books = 3x-6
After reading 13 fiction books, total fiction books remaining fiction books = 5x-13
(3x-6)/(5x-13) = 3/4
Solving for x, we get x = 5
So total non-fiction books = 15 and fiction books=25
So total number of books bought = 40
Solve 5(2–m)-3(4 – 2m) = 20
Step-by-step explanation:
5(2–m)-3(4 – 2m) = 20
10-5m-12+6m=20
m=22
hope it helps
answer
m =22
solution
5(2-m)-3(4-2m)=20
10-5m-12 +6m=20
-2+m =20
m= 20+2
m =22
Please complete the table.
Answer:
10-35-45 and 5-17.5-22.5
Step-by-step explanation:
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n.
Answer:
78 dollars
Step-by-step explanation:
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).
Given:
c(n) = 50 + 4n
Where,
c = monthly cost of visiting a gym
n = number of visits
Find the value of c(7)
That is, when n = 7
c(n) = 50 + 4n
c(7) = 50 + 4(7)
= 50 + 28
= 78
c(7) = 78 dollars
Which choice is the solution for the inequality shown below? -5x + 10 > 5
A. x > 1
B. x < 1
C. x > -3
D. x < -3
(Also all the > and < signs had lines under them)
Answer:
d
Step-by-step explanation:
10^6 times 10^5 as a power of ten - thanks !
Answer:
one hundred billion
Step-by-step explanation:
10^6 x 10^5 = 10^11
10^11 = 100,000,000,000 or one hundred billion
I hope that's what you meant ^-^
Help, please :) Giving 16 points and PLEASE BE CORRECT! This is a test so I don't want to get it wrong. Thank you so much!
Answer:
y=x+4
Step-by-step explanation:
...
true or false justify your answer
integers are rational numbers
3 squared can be written as a fraction
whole numbers are irrational
Isaiah has $12.00 to pay the admission fee and play games at a local fair. There is a $5.00 admission fee, and each game costs $0.25. Write an inequality?
What value for 'C' makes the equation true root(4, (x ^ 4)/(c * y ^ 5)) = x/(3y * (root(4, 5)))
Answer:
Step-by-step explanation:
It would have to be something that when you take the fourth root of something, you would get 3
The way to find it is just raise 3 to the 4th power.
3^4 = 3 * 3 * 3 * 3 = 9 * 9 = 81
c = 81
.After making his first deposit, Paul has $758 in his checking account. The next month,
the balance is $836. The balance after the third month is $914.
Using liner sequences & function
Answer:
Step-by-step explanation:
This is the way I understand the question. I hope it makes sense.
n
∑ (P + 78n) P = the initial depost which is 758
n = 0
so when n = 0 the sum equals P or 758 because 78(0) = 0
so when n = 1 the sum equals P+78(1) = 758 + 78 = 836
so when n = 2 the sum equals P+78(2) = 758 + 156 = 914
Tell whether the triangle is a right triangle. Show Work.
Answer:
This is not a right triangle because the hypotenuse is less than the two sides and aren't equal when following the Pythagorean thm
Step-by-step explanation:
To confirm if a triangle is a right triangle, we must use the Pythagorean thm
a^2 + b^2 = c^2
23^2 + 11.4^2 = 21.2^2
529 + 129.96 = 449.44
658.96 ≠ 449.44
on a garden plan,two tree are 25metres apart .if the plan has a scale of 1:200,how far are they apart on the plan
What is 3.5 divided by 16.87 using long division.
Answer:
CORRECT ME IF I'M WRONGStep-by-step explanation:
#CARRY ON LEARNINGCan someone help me with this. Will Mark brainliest.
Answer:
The lines are perpendicular.
Step-by-step explanation:
If the lines are parallel, then the slopes are equal
If the lines are perpendicular, then the slopes are negative reciprocals
If neither of the above occur, then the lines are neither parallel or perpendicular.
y = 2x + 3 is in slope-intercept form, so the slope = 2
2y + x = 6
Solve for y: 2y = -x + 6
y = -1/2(x) + 3 so the slope = -1/2
2 and -1/2 are negative reciprocals, so the lines are perpendicular.
Note: Negative reciprocals have a product of -1. 2(-1/2) = -1