Answer:
the answer is 175
Step-by-step explanation:
you will do 2500*7/100
There are three types of tickets to enter the amusement park of a particular city. The normal ticket costs R $ 52.00, the child ticket costs R $ 20.00 and the elderly ticket costs R $ 28.00. A group of friends went to the park and paid in total R $ 480.00. In this group, each adult (normal or senior) took two children. How many normal tickets purchased?
Answer:
3 normal tickets were sold, 3 tickets were sold for the elderly, and 12 tickets were sold for children
Step-by-step explanation:
Let x = normal ticket number
Let y = child ticket number
Let z = elderly ticket number
The total amount spent is 480, so we can create this equation:
52 * x + 20 * y + 28 * z = 480
They also tell us that each adult took two children, so:
y = 2 * (x + z)
We have two equations and three unknowns, therefore we must simplify and do trial and error. First, let's substitute "y" in terms of "x" and "z" in the first equation, then simplify:
52 * x + 20 * y + 28 * z = 480
52 * x + 20 * 2 * (x + z) + 28 * z = 480
52 * x + 40 * (x + z) + 28 * z = 480
52 * x + 40 * x + 40 * z + 28 * z = 480
92 * x + 68 * z = 480
23 * x + 17 * z = 120
Let's solve for x in terms of e:
23 * x = 120-17 * z
x = (120-17 * z) / 23
We know that (120 - 17 * z) has to be a multiple of 23 for "x" to be an integer. So let's look at testing some values of "z" to make valid values for "x":
120-17 (0) = 120 (not multiple of 23)
120-17 (1) = 103 (not multiple of 23)
120-17 (2) = 86 (not multiple of 23)
120-17 (3) = 69 (multiple of 23)
120-17 (4) = 52 (not multiple of 23)
120-17 (5) = 35 (not multiple of 23)
120-17 (6) = 18 (not multiple of 23)
120-17 (7) = 1 (not multiple of 23)
After that, we get negative values for "x", so here there is only one possible value for "x", so we know that z = 3:
Now we can solve for "x" and "y":
x = (120-17 * 3) / 23
x = (120-51) / 23
x = 69/23
x = 3
Now for and:
y = 2 * (x + y)
y = 2 (3 + 3)
y = 12
Therefore, 3 normal tickets were sold, 3 tickets were sold for the elderly, and 12 tickets were sold for children.
Please help with this question
Answer:
a) 50π cm^2
b) π/8
Step-by-step explanation:
a) The formula for the area of a semicircle is ...
A = (1/2)πr^2 = (1/2)π(d/2)^2 = (π/8)d^2
For a diameter of 20 cm, the area is ...
A = (π/8)(20 cm)^2 = 50π cm^2 . . . . . the area of the semicircle
__
The formula for the area of a quarter circle is ...
A = (1/4)πr^2
For a radius of 20 cm, the area is ...
A = (π/4)(20 cm)^2 = 100π cm^2 . . . . . the area of the quarter circle
__
The shaded area is the difference of the areas of the quarter circle and semicircle:
shaded area = (100π cm^2) -(50π cm^2)
shaded area = 50π cm^2
__
b) The ratio of the shaded area to the square area is ...
shaded area / square area = (50π cm^2)/(20 cm)^2 = π/8
Which statement is true about f(x) + 2 = 1/6 |x-3| ?
A) The graph of f(x) has a vertex of (–3, 2).
B) The graph of f(x) is a horizontal compression of the graph of the parent function.
C) The graph of f(x) opens downward.
D) The graph of f(x) has range of f(x) ≥ –2.
Answer:
Option D.
Step-by-step explanation:
Statement given,
f(x) + 2 = [tex]\frac{1}{6}|x - 3|[/tex]
Or f(x) = [tex]\frac{1}{6}|x-3|[/tex] -2
Parent function, g(x) = |x|
Absolute value function g(x) when shifted 3 units right,
g'(x) = |x - 3|
Vertically compressed by [tex]\frac{1}{6}[/tex] units and shifted 2 units down, then the new function will be
f(x) = [tex]\frac{1}{6}|x - 3|-2[/tex]
Characteristics of the graph of this function:
1). Vertex at (3, -2).
2). Vertical compression of the parent function by [tex]\frac{1}{6}[/tex].
3). Graph opens upwards.
4). Range of the graph f(x) is f(x) ≥ -2.
Therefore, Option D will be the answer.
A function is defined by f (x) = 5 (2 minus x). What is f(–1)? –5 5 15
Answer: 15
Step-by-step explanation: 2 minus negative 1 is the same as 2+1. 2 plus 1 is 3 and 5 times 3 is 15. Therefore, 15 is your answer.
Answer:
15
Step-by-step explanation:
took the test on EDGE
Choco pies are cookies made from chocolate (c), sugar (s), and flour (. Chocolate costs $5 per pound, sugar costs
$3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as
sugar
Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put
$1000 more in a 2-year deposit than in a l-year deposit and invest the rest in a 3-year deposit. How much money
should he invest in each deposit?
Number of Years
Rate
2.0%
5.09
6.0%
1-year: $2200, 2-year: $3200, 3-year: $6600
1-year: $4000, 2-year: S5000, 3-year: $3000
1-year: S3200, 2-year: $4200, 3-year: $4600
1-year: $1000, 2-year: S2000, 3-year: $9000
Question :
justinapace7446
Yesterday
Mathematics
High School
+5 pts
Choco pies are cookies made from chocolate (c), sugar (s), and flour (. Chocolate costs $5 per pound, sugar costs
$3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as
sugar
Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put
$1000 more in a 2-year deposit than in a l-year deposit and invest the rest in a 3-year deposit. How much money
should he invest in each deposit?
Number of Years
Rate
2.0%
5.0%
6.0%
Answer:
1-year: $2200, 2-year: $3200, 3-year: $6600
Step-by-step explanation:
Assume y = Amount invested for 1 year.
y + 1000 = investment amount for 2 years
12000 - (y + y + 1000 ) = amount invested for 3 years
11000 - 2y = amount invested for 3 years
Total interest
Multiplying each by its corresponding rate
(0.02 × y) + (0.05 × (y+1000)) + (0.06 × (11000-2y)) = 600
0.02y + 0.05y + 50 + 660 - 0.12y = 600
-0.05y + 710 = 600
-0.05y = 600 - 710
-0.05y = - 110
y = 2200
Therefore first year = y = $2200
Investment for 2 years =y + 1000 = 2200 + 1000 = $3200
Investment for 3 years = 11000 - 2y = (11000 - (2*2200)) = (11000 - 4400) = $6600
It is known that 60% of the students at a large university have a job and 40% do not have a job. If three of these students are randomly selected, what is the probability at least one does not have a job? (Hint: the compliment of this event is all three have jobs.)
Answer:
78.4% probability at least one does not have a job
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they have a job, or they do not have a job. The probability of a student having a job is independent of other students. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
60% of the students at a large university have a job
This means that [tex]p = 0.6[/tex]
Three of these students are randomly selected
This means that [tex]n = 3[/tex]
What is the probability at least one does not have a job?
Either all of them have a job, or at least one does not. The sum of the probabilities of these events is decimal 1. So
[tex]P(X < 3) + P(X = 3) = 1[/tex]
We want P(X < 3). Then
[tex]P(X < 3) = 1 - P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.6)^{3}.(0.4)^{0} = 0.216[/tex]
[tex]P(X < 3) = 1 - P(X = 3) = 1 - 0.216 = 0.784[/tex]
78.4% probability at least one does not have a job
How can properties of linear pairs and vertical angles help determine the angle measures created by the intersecting lines?
Answer:
Linear pairs are adjacent angles that are supplementary. Their measures add to 180 deg. Vertical angles are congruent. Let's say two lines intersect, and you know the measure of one of the 4 angles that were formed.
Step-by-step explanation:
make x the subject of m=n + x/p
Answer:
[tex] \boxed{x = p(m - n)} [/tex]
Step-by-step explanation:
[tex] = > m = n + \frac{x}{p} \\ \\ = > m = (n \times \frac{p}{p} ) + \frac{x}{p} \\ \\ = > m = \frac{pn}{p} + \frac{x}{p} \\ \\ = > m = \frac{pn + x}{p} \\ \\ = > mp = pn + x \\ \\ = > x + pn = pm \\ \\ = > x = pm - pn \\ \\ = > x = p(m - n)[/tex]
Solve x
3x+6=42 please help me get this done
_______________________________
Solution,
3x+6=42
or,3x=42-6
or, 3x=36
or,X=36/3
X=12
The value of X is 12.
hope it helps
Good luck on your assignment
____________________________
Answer:
this can be solved by using transposition method let me tell you how
Step-by-step explanation:
3x+6=42
+6 will transpose to the rhs
=3x = 42 - 6 (+WILL BECOME - WHILE TRANSPOSING LHS TO RHS)
= 3x = 36
3x will transpose and will become division
= x = 36 /3
=x =12
the value of x is 12
FAST ANSWER PLEASE THANKS
Answer: D
Step-by-step explanation:
(g*h)(x) is equal to g(x) times h(x). So, simply multiply them to get [tex]6x^2[/tex]
work out the surface area of a sphere please help if u get it correct i’ll give h brainlest
Answer:
Surface area of sphere = 4πr²
r = radius
and radius = diameter/2
radius = 13/2
= 6.5cm
Surface area = 4 × π × 6.5
= 26 × π
= 81.68
= 81.7cm²
Hope this helps.
simplify 12a^7b^5/16a^2b^2
Answer:
[tex]\frac{12a^7b^5}{16a^2b^2}=\frac{3}{4} a^5b^3[/tex]
Can someone explain this to me
Answer:
35°
Step-by-step explanation:
ABC is a equilateral triangle and that means all of its
interior angles have the same measure and = 60°
since angle ACB is 60° the complementary of it would be 120° this is alsıo the measure of angle ACD
The measure of angle CAD is given as 25°
The measure of sum of interior angles in a triangle is equal to 180°
So the missing angle ADC is 35°
Thank you for all your help I need this too ASAP pls
Answer:
A
Step-by-step explanation:
Quadratic equation
Enter a number in the box to complete the sentence. Give your answer to the nearest half-hour.
When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.
Until the candle has been burning for at least _____ hours, the height of Jennifer's candle will be more than 7 inches.
Please help me answer this I'm currently taking the end of the year assessment right now!!
Answer:
2.5 hours
Step-by-step explanation:
To solve this question we can use the exponencial function:
P = Po * (1 + r)^t
Where P is the final value, Po is the inicial value, r is the rate and t is the time.
In this case, we have Po = 8, P = 7 and r = -5% = -0.05. So, we can solve for t:
7 = 8 * (0.95)^t
0.95^t = 0.875
log(0.95^t) = log(0.875)
t * log(0.95) = -0.1335
t * (-0.0513) = -0.1335
t = -0.1335 / (-0.0513) = 2.6023 hours
Rounding to the nearest half-hour, we have t = 2.5 hours
Answer:
2.5
Step-by-step explanation:
I had this question and got it right
the vertex of this parabola is at (4,-3). When the x-value is 5, the y-value is -6. what is the coefficient of the squared expression in the parabola's equation
Answer:
Step-by-step explanation:
The work form of this upside down parabola is
[tex]y=-|a|(x-h)^2+k[/tex]
It's VERY important that you remember that the negative value there in front of the absolute value of a just means that the parabola is upside down. a itself will not be negative (and we know that because of the absolute value symbols there!). Filling in the x, y, h, and k values we were given allows us to solve for the |a|:
[tex]-6=-|a|(5-4)^2-3[/tex] and
[tex]-6=-|a|(1)^2-3[/tex] and
[tex]-6=-|a|1-3[/tex] and
[tex]-6=-|a|(-2)[/tex] and
3 = -|a|
Again, the negative simply tells us the parabola is upside down, so the absolute value of a = 3, choice c.
Answer: The answer is -3!!!!!!!!!
Step-by-step explanation:
20 PTS What is the sixth term of the sequence shown in the table? Term Value 1 –46,656 2 7,776 3 –1,296 4 216 5 6 {SEE IMAGE}
Answer:
a₆ = 6
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
r = [tex]\frac{216}{-1296}[/tex] = [tex]\frac{-1296}{7776}[/tex] = [tex]\frac{7776}{-46656}[/tex] = - [tex]\frac{1}{6}[/tex]
This indicates the sequence is geometric.
To obtain any term in the sequence, multiply the previous term by r, thus
a₅ = 216 × - [tex]\frac{1}{6}[/tex] = - 36
a₆ = - 36 × - [tex]\frac{1}{6}[/tex] = 6
Answer:
It's 6
Step-by-step explanation:
Got it right!
1 –46,656
2 7,776
3 –1,296
4 216
5 36
6 6
divided by 6 every time
Acellus
Find the value of x below. If
necessary, round to the nearest
tenth.
X
90°
450
8
Answer:
Step-by-step explanation:
Please help me with my question:))
Answer:
D
Step-by-step explanation:
Two lines are perpendicular when the product of their slopes = - 1
line 1: y = 3x + 4
(3 , 0) ; (-3,2)
[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-0}{-3-3}\\\\=\frac{2}{-6}\\\\=\frac{-1}{3}[/tex]
Slope of line 1 = 3
Slope of line 2 = -1/3
3* -1/3 = -1
Answer:
im sorry but you just need a chill pill
Step-by-step explanation:
Which is the solution to the inequality?
Answer:
C
Step-by-step explanation:
y is greater than or equal to 14.
Answer:
Option C
y _> 14
Step-by-step explanation:
here, y is greater than or equal to 14
Galileo improved the telescope and made important historic observations, including discovering four moons of _____. A. Mars B. Jupiter C. Saturn D. Neptune
Answer:
B: Jupiter
Step-by-step explanation:
hope this helps
URGENT!!!!! LAST QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!URGENT!!!!!
16. Which piece of information below will not help you prove that triangles ABC and DEF are congruent using ASA?
IF YOU REALLY LOOK YOU CAN SEE THE LETTERS BUT IN CASE HERE:
PIC BELOW ON THE LEFT TRIANGLE: A IS ON THE BOTTOM LEFT. B IS AT THE TOP, POINTY PART, C IS ON THE BOTTOM RIGHT
ON THE RIGHT TRIANGLE: D IS ON THE BOTTOM LEFT. E IS AT THE TOP, POINTY PART, F IS ON THE BOTTOM RIGHT
A) AC=DF
B) AB=DE
C) B=E
D) A=D
Answer: A) AC=DF
Step-by-step explanation:
Angle-Side-Angle (ASA) Postulate: If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.
Answer A is the only one that wouldn’t help you prove that these triangles are congruent.
The lowest airport in the world is Atyrau Airport in Kazakhstan. Its
runway is 72 feet below sea level. A passenger in a small airplane on
the runway holds her phone exactly 4 feet above the runway. What
is the elevation of her phone? Use a negative sign where appropriate,
and don't include units when typing in the secret answer
Answer:
-72 + 4 = -68
If p(x) = x + 3, then p(x) + p(–x) is equal to ??
Answer:
The answer is 6
Step-by-step explanation:
p(x) = x + 3
p(-x) = -x + 3
=> p(x) + p(-x) = x + 3 + (-x) + 3 = 6
Hope this helps!
:)
Given the explicit formula, calculate the first four (4) terms.
1. f(n) = 9+8n
2. f(n)=8(n+1)-13
3. f(n)=65-9n
plz help me out
Answer:
Step-by-step explanation:
Given the following explicit formula, we are to calculate the first four (4) terms of the sequence.
1) f(n) = 9+8n
When n = 1
f(1) = 9+8(1)
f(1) = 17
when n = 2
f(2) = 9+8(2)
= 9+16
= 25
When n = 3
f(3) = 9+8(3)
f(3) = 33
when n = 4
f(4) = 9+8(4)
= 41
= 25
The first four terms are 17, 25, 33 and 41
2) f(n) = 8(n+1)-13
When n = 1
f(1) = 8(2)-13
f(1) = 3
when n = 2
f(2) = 8(3)-13
= 24-13
= 11
When n = 3
f(3) = 8(4)-13
f(3) = 32-13
= 19
when n = 4
f(4) = 8(5)-13
= 40-13
= 27
The first four terms are 3, 11, 19 and 27
3) f(n) = 65-9n
When n = 1
f(1) = 65-9(1)
f(1) = 56
when n = 2
f(2) = 65-9(2)
= 65-18
= 47
When n = 3
f(3) = 65-9(3)
f(3) = 65-27
= 38
when n = 4
f(4) = 65-9(4)
= 65-36
= 29
The first four terms are 56, 47, 38 and 29
help please i’ll give u brianliest
Answer:
I guess the answer is c.... I guess it must be c
Carlos and his brother each made 72 cookies for the church bake sale. They sold the same amount of cookies each day over a three day period. Between the two of them how many cookies did the boys sell each day? A. 24 B. 48 C. 72 D. 144
Answer:
the answer is 144
Step-by-step explanation:
just add 72+72=144
a:b= 5:8 and b:c=6:25
Find, in its simplest form, the ratio a:b:c
Answer:
a:b:c = 15:24:100.
Step-by-step explanation:
We need to make the values of b the same in both ratios so we multiply b = 6 by 4/3 to make it 8 and also multiply 25 by 4/3.
6 25 = 8 : 33.33......
So a:b:c = 5:8:33.33...
To convert to whole numbers we multiply by 3:
a:b:c = 15:24:100.
How do you put 0.02 in scientific notation
Answer:
2 x 10^-2
Step-by-step explanation:
0.02 equals to 2/100
therefore 0.02= 2/102 (remember this is negative)
= 2x10^-2 (therefore -2)
The solution to the number 0.02 in scientific notation is 2 * 10⁻²
How to express the number 0.02 in scientific notationFrom the question, we have the following parameters that can be used in our computation:
Number = 0.02
Multiply the number by 1
So, we have
Number = 0.02 * 1
Express 1 as 100/100
So, we have the following representation
Number = 0.02 * 100/100
Next, we have
Number = 2 * 1/100
Express 1/100 as 10⁻²
So, we have
Number = 2 * 10⁻²
Hence, the solution is 2 * 10⁻²
Read more about scientific notation at
brainly.com/question/1767229
#SPJ6
Which value of x makes 7+5(x-3)=22 a true statement?
Choose 1 answer:
A
x=4
B
x=5
C
x=6
D
x=7
Answer:
C
X=6
Step-by-step explanation:
7+5x-15=22
5x-8=22
5x=22+8
5x=30
X=30/5
X=6