Answer:
202 tickets for adults were sold and 70 tickets for children are sold.
Step-by-step explanation:
Solve this question using simultaneous linear equation.
•Let the number of tickets sold for adults be a
•Let the number of tickets sold for children be b
The question stated that 272 tickets were sold altogether. So:
[tex]a + b = 272[/tex]
Now, make sure that only one of the unknown values remain on the left hand side. For example:
[tex]a = 272 - b[/tex]
I will refer to the above equation as equation 1.
Now, the question also stated that the tickets sold $1694. This means that:
[tex]7a + 4b = 1694[/tex]
I will refer to this equation as equation 2.
Now, substitute equation 1 into equation 2 by replacing the a in equation 2 with the values on the right hand side in equation 1. For example:
[tex]7(272 - b) + 4b = 1694[/tex]
Then just solve the equation by finding the value of b.
[tex]7(272 - b) + 4b = 1694 \\ 1904 - 7b + 4b = 1694 \\ 1904 - 3b = 1694 \\ 1904 - 1694 = 3b \\ 210 = 3b \\ b = 210 \div 3 \\ = 70[/tex]
Lastly, find the value of a. Just take the value of b and then substitute into equation 1.
[tex]a = 272 - b \\ = 272 - 70 \\ a = 202[/tex]
If a=0 and b≠0, where will the graph of the complex number a+bi always lie?
Answer:
On the horizontal axis
Step-by-step explanation:
The complex number is represented by the complex plane or z-plane which is the representation geometrically of the real (number) axis and the imaginary (number) axis
When plotting complex numbers, the real part of the complex number is always plotted on the horizontal axis while the imaginary part is plotted on the vertical axis
The complex plane concept facilitates the description of complex numbers geometrically.
Solve the equation 1/2(2x+2)-1/4(3x-1)=15
Answer:
it is algebraic expression
Solve: 9^(2x + 1) = 9^(3x – 2)
Answer:
x = 3Step-by-step explanation:
The same bases (9) needs the same exponents to be equal:
[tex]\big9^{2x + 1}=\big9^{3x-2}\quad\iff\quad 2x+1=3x-2\\\\2x+1=3x-2\\\\2x-3x=-2-1\\\\-x=-3\\\\x=3[/tex]
The computation of the indices show that the value of x in 9^(2x + 1) = 9^(3x – 2) is 3.
How to calculate the indices?From the information given, we are told to simply solve 9^(2x + 1) = 9^(3x – 2). In this case, the exponents given are equal which is 9.
Therefore, 2x + 1 = 3x - 2
Collect like terms
3x - 2x = 1 + 2
x = 3
Therefore, the value of x is 3.
Learn more about indices on:
https://brainly.com/question/10339517
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36. GEOMETRY Write an algebraic expression to
represent the area of the triangle. Then evaluate it to
find the area when h = 12 inches.
Answer:
108 in²
Step-by-step explanation:
Area of a triangle is given as ½*base*height
The base of the given triangle = h + 6
height = h
Algebraic expression for its area = [tex] \frac{1}{2}*(h + 6)*h = \frac{1}{2}(h^2 + 6h) = \frac{h^2 + 6h}{2} [/tex]
Evaluate the area if h is given as 12 inches.
Plug in the value of h into the algebraic expression:
[tex] \frac{h^2 + 6h}{2} = \frac{12^2 + 6(12)}{2} [/tex]
[tex] = \frac{144 + 72}{2} [/tex]
[tex] = \frac{216}{2} = 108 in^2 [/tex]
I need help pleaseeee you get 44 points if you answer my last question and be serious
I dont even know how to start answering that last question...
A carpenter and his assistant can do a piece of work in 3 days. If the carpenter himself could do thework alone in 5 days, how long would the assistant take to do the work alone?
Answer:
7 1/2 days
Step-by-step explanation:
The carpenter can do 1/5 of the work in 1 day. The assistant, who takes 'a' days to do the work, can do 1/a of the work in 1 day. Together, they can do 1/3 of the work in 1 day:
1/5 + 1/a = 1/3
1/a = 1/3 -1/5 = 2/15
a = 1/(2/15) = 15/2 = 7.5
The assistant takes 7.5 days to do the work alone.
Item 4
Solve the equation.
23h−13h+11=8
h=
Celine was working on the following problem and can't seem to get the problem right. Choose the step where she made a mistake.
(-2×2-6) ÷2
Answer:
- 5
Step-by-step explanation:
Given
(- 2 × 2 - 6) ÷ 2
Evaluate the parenthesis performing the multiplication before subtracting.
= (- 4 - 6) ÷ 2
= - 10 ÷ 2
= - 5
Expand each of the following expressions
(b-2) (b+7)
Answer:
[tex] {b}^{2} + 5b - 14[/tex]
Step-by-step explanation:
By algebraic identity:
[tex](x + a)(x + b) = {x}^{2} + (a + b)x + ab \\ we \: have \\ (b - 2)(b + 7) \\ = {b}^{2} + ( - 2 + 7)b + ( - 2)7 \\ = {b}^{2} + 5b - 14[/tex]
Step-by-step explanation:
Hope it is helpful for you
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HELLPPPPPPPPP WITH THE TOP THREE PLS
Answer:
9) Domain: 0≤x≤6
Range: -3≤y≤3
10) Domain: -∞≤x≤∞
Range: -∞≤y≤∞
11) Domain: -∞≤x≤∞
Range: y≥-2
13) Domain: -∞≤x≤∞
Range: -2≤y≤4
Step-by-step explanation:
9) Domain: 0≤x≤6
Range: -3≤y≤3
10) Domain: -∞<x<∞
Range: -∞<y<∞
11) Domain: -∞<x<∞
Range: y≥-2
13) I think you need to look at this one again. It looks like:
Domain: -∞<x<∞
Range: -2≤y≤4
Given f(x)
5x + 1
2 , solve for f-1(8).
Joan bought a soft drink for $3 and 9 candy bars. She spent a total of $21. How much did each candy bar costs?
Answer:
2$ per candy bar
Step-by-step explanation:
21 - 3 = 18
18/9 = 2
Hopefully this helps you :)
pls mark brainlest ;)
Harry parks his toy cars. he has less than 100 cars. When he parks them in groups of three, there will be two left, when he parks them in groups of four, there will be two left and when he parks them in groups of 5, there will be two left. How many will be left if he parks them in groups of seven? What method do you use here?
Answer:
Step-by-step explanation:
Examples: 4.121121112... For each square below, is the side length rational or irrational? A Blom A = 89 cm 1. What is the formula for the area of a...
3. The sides of a triangular birdcage are consecutive integers. If the perimeter is 114 centimeters, what is the length of each side? Label each side with an expression that represents its length.
Step-by-step explanation:
Let the first side is x, second side is (x+1) and the third sie is (x+2). The perimeter of the triangle is 114 cm.
It means,
x+x+1+x+2=114
3x+3=114
3(x+1)=114
x+1=38
x=37
So, first side is 37 cm
Second side is 37+1=38 m
Third side is 37+2=39 m
Hence, this is the required solution.
solve for d, s = 2d / t
s = 2d / t
Multiply both sides by t
st = 2d
Divide both sides by 2
st / 2 = d
solve 9x - y = 45 for y
Answer:
y=9x-45
Step-by-step explanation:
9x-y=45
-y=45-9x
y=9x-45
check for extraneous solutions: |2x + 5| = 3x + 4
it would be 1.............
Reposted this Bc idk if ppl saw it
Answer:
Hey there!
4 2/3 can be written as 14/3
The ones that represent a rational number are the fourth and fifth options.
Let me know if this helps :)
The measure of an angle is equal to the measure of its complement.
Answer:
Step-by-step explanation: just learn
plz answer i will mark as brainliest follow u and give you thx..but in return i need full proper answer
two dice are thrown simultaneously. list all the possible outcomes and the probability of getting same number on both dice (doublets); the sum of prime number
Which of the following options have the same value as 65% of 20?
B
...........................
Answer:
It is A and D
Step-by-step explanation:
65% of 20 is also
.65 * 20 or
65/100 * 20
I did Khan Academy too :)
A 9-pack of toaster pastries costs $3.60. What is the unit price?
per pastry
Answer:.40 cents
Step-by-step explanation: divide the total cost by the amount of items you have.
m + 4 = -12
and
v - 15 = -27
Answer:The AR-15 came first, in 1947; the M16 a decade later. They have the same magazine capacity: 30 rounds. The former is heavier, with a shorter range and slower rate of fire, but these are subtle differences. Overall, the weapons are pretty simila
Step-by-step explanation:M4 carbine
Carbine, Caliber 5.56 mm, M4
Manufacturer See Manufacturers below
Unit cost $700 (avg. cost)m= -16
v= -12
Step-by-step explanation:
m + 4 = -12
m= -4-12
m=-16
v - 15 = -27
v=-27+15
v= -12
Produced 1991–present
Variants M4A1 Mark 18 Mod 0 CQBR
Answer:
m= -16
v= -12
Step-by-step explanation:
m + 4 = -12
m= -4-12
m=-16
v - 15 = -27
v=-27+15
v= -12
Find sin 0.
15
8
0
please help! very important
Answer:
D
Step-by-step explanation:
In the phrase SOH - CAH - TOA, the SOH stands for "Sine = opposite / hypotenuse", hence, the answer would be 15 / 8.
Answer: for me the answer was 15/17
Step-by-step explanation:
Phyllis invested 51000 dollars, a portion earning a simple interest rate of 4 percent per year and the rest earning a rate of 7 percent per year. After one year the total interest earned on these investments was 2370 dollars. How much money did she invest at each rate?
Answer:
Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.
Step-by-step explanation:
From the information provided, you can write the following equations:
x+y=51000 (1)
0.04x+0.07y=2370 (2), where
x is the portion earning a simple interest rate of 4 percent per year
y is the portion earning a simple interest rate of 7 percent per year
First, you can isolate x in (1):
x=51000-y (3)
Now, you can replace (3) in (2) and solve for y:
0.04(51000-y)+0.07y=2370
2040-0.04y+0.07y=2370
0.03y=330
y=330/0.03
y=11000
Then, you can replace the value of y in (3) to find the value of x:
x=51000-11000
x=40000
According to this, the answer is that Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.
is 34.223 greater than 34.232
Answer:
Yes
Step-by-step explanation:
Is [tex]34.223[/tex] greater than [tex]34.232[/tex]?
Let's compare these two decimals.
[tex]34.223[/tex] ? [tex]34.232[/tex]
It may look like [tex]34.232[/tex] is bigger but it actually isn't. The first thing you have to do is look at the last digit in the decimal.
In the first decimal([tex]34.223[/tex]), the last digit is 3. In the second decimal([tex]34.232[/tex]), the last digit is 2. 3 is bigger than 2 so the decimal that is greater is [tex]34.223[/tex].
Hope this helps!
The sum of two number is 50. The second number is five times the first. Find the number
Answer:
x=25/3 & y=125/3
Step-by-step explanation:
Let first number be x
Second number be y
x+y=50
y=5x
=>x+5x=50
=>6x=50
=>x=50/6
=>x=25/3
Sam is playing in a tree house 15 feet above sea level. Levi is swimming in a pool 7 feet below sea level. How far apart are the boys?
x^2-15x+26 factoring need help
Answer:
x^2 - 2x - 13x + 26 = (x-2)(x-13)
Step-by-step explanation:
x^2 - 15x + 26 = x^2 - 2x - 13x + 26 = (x^2 - 2x) - (13x - 26)
= x(x-2) - 13(x-2) = (x-2)(x-13)
Solve x^2=64. What property did you use?
Answer:
x = ± 8 using the square root property
Square root both sides to get x = ± 8.