Answer:
The number of adult ticket sold is [tex]12[/tex]
The number of child ticket sold is [tex]38[/tex]
Step-by-step explanation:
Given cost of adult tickets are $[tex]8[/tex], and cost of child tickets are $[tex]4[/tex]
Let the number of adult ticket sold is [tex]x[/tex]
Also, the number of child ticket sold is [tex]y[/tex]
We can write two equation from given information.
[tex]x+y=50\ Equation\ (1)\\8x+4y=248\ Equation(2)[/tex]
Now, plug [tex]x=50-y[/tex] in [tex]Equation(2)[/tex] we get,
[tex]8(50-y)+4y=248\\400-8y+4y=248\\-4y+400=248\\-4y=248-400\\-4y=-152\\y=\frac{-152}{-4}\\y=38[/tex]
Now, from [tex]Equation(1)[/tex]
[tex]x+y=50\\x+38=50\\x=50-38\\x=12[/tex]
So, The number of adult ticket sold is [tex]12[/tex]. And the number of child ticket sold is [tex]38[/tex]
:
m +3m + 6 = 4m - 9+ 15
Solve for the variable
Answer:
Solution: each real numberStep-by-step explanation:
[tex]m+3m+6=4m-9+15\qquad\text{combine like terms}\\\\(m+3m)+6=4m+(-9+15)\\\\4m+6=4m+6\qquad\text{subtract}\ 4m\ \text{from both sides}\\\\4m-4m+6=4m-4m+6\\\\6=6\qquad\bold{TRUE}\\\\\bold{CONCLUSION:}\ \text{infinitely many solutions}[/tex]
What is the answer to |x-4|<13
Answer:
The solution is -9 < x < 17.Step-by-step explanation:
|x-4|<13.
The above equation means, whatever the actual value of x is, the value of (x - 4) must be greater than - 13 and less than 13.
Hence, -13 < x - 4 < 13 or, -9 < x < 17. The value of x will be in between -9 and 17. The value of x can not be -9 or 17.
if you get 17 out of 20 questions correct on your next test what percent of the test did you answer correctly?
Answer:
85%
Step-by-step explanation:
Just use a calculator to divide 17 by 20. That gives you .85. To convert into a percent, multiply by 100, giving you an 85%.
A trick I use to convert decimals into percents is to jut move the decimal point 2 spaces to the right.
You answered 85% of the test questions correctly.
To find the percentage of questions answered correctly, we can use the formula:
Percentage = (Number of questions answered correctly / Total number of questions) × 100
In this case, you answered 17 out of 20 questions correctly. Plugging these values into the formula:
Percentage = (17 / 20) × 100
Percentage = 0.85 × 100
Percentage = 85
Therefore, you answered 85% of the test questions correctly.
To know more about " Percentage. ." here
https://brainly.com/question/24877689
#SPJ6
What is the 60th term in this sequence?
-6, -3,0,3,...
Answer:
54.
Step-by-step explanation:
Start at 60 and subtract 6. That leaves you with 54.
The 60th term in the arithmetic sequence -6, -3, 0, 3, ... can be determined using the formula of an arithmetic sequence, which results in a value of 171.
An arithmetic sequence, also known as an , is a sequence of numbers in which each term is obtained by adding a fixed constant to the previous term. In simpler terms, it's a sequence where the difference between any two consecutive terms is always the same.
The given sequence is an arithmetic progression where each term differs from the previous term by a constant value. In this case, the common difference[tex](\(d\))[/tex]between consecutive terms is 3.
To find the 60th term of this sequence, we can use the formula for the nth term of an arithmetic sequence:
[tex]\[a_n = a_1 + (n - 1) \cdot d\][/tex]
Here,[tex]\(a_n\)[/tex]represents the nth term, \(a_1\) is the first term, \(n\) is the term number we want to find, and \(d\) is the common difference.
In this sequence:
- The first term [tex](\(a_1\)) is -6.[/tex]
- The common difference [tex](\(d\)) is 3.[/tex]
- We want to find the 60th term, so [tex]\(n = 60\).\\[/tex]
Now, we can substitute these values into the formula:
[tex]\[a_{60} = -6 + (60 - 1) \cdot 3\][/tex]
[tex]\[a_{60} = -6 + 59 \cdot 3\][/tex]
[tex]\[a_{60} = -6 + 177\][/tex]
[tex]\[a_{60} = 171\][/tex]
Therefore, the 60th term in this arithmetic sequence is 171. This means that if you continued the sequence, the 60th term would be 171 units greater than the first term (-6), following the pattern of adding 3 at each step.
Learn more about Arithmetic Sequence here:
https://brainly.com/question/32830972
#SPJ2
Solve for x in the equation x squared minus 4 x minus 9 = 29. x = 2 plus-or-minus StartRoot 42 EndRoot x = 2 plus-or-minus StartRoot 33 EndRoot x = 2 plus-or-minus StartRoot 34 EndRoot x = 4 plus-or-minus StartRoot 42 EndRoot
Answer:
The correct answer is A. x = 2 +/- √42
Step-by-step explanation:
Let's solve for x the quadratic equation, this way:
x² - 4x - 9 = 29
x² - 4x - 38 = 0
Using the quadratic formula, we have:
x = [- (-4) +/- √ -4² - 4 * -38]/2
x = 4 +/- √ 16 + 152/2
x = 4 +/- √ 168/2
x = 4 +/- √ 4 * 42/2
x = 4 +/- 2 √42/2
x = 2 +/- √42
The correct answer is A. x = 2 +/- √42
Answer:
the answer is A on edg2020
Step-by-step explanation:
What shows a fractional and decimal equivalent of 9/20
Answer:
0.45 45%
Step-by-step explanation:
RSM Question NEED HELP!!! A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire, he walks it back at an average speed of 3 miles per hour. If he returns home 6 and a half hours after he starts, how far into the country does he go?
Let x = distance traveled (not round trip)
x/10 + x/3 = 6.5
13/30x = 6.5
x = 15 miles
answer: 15 miles
Answer:
15 miles
Step-by-step explanation:
Find out the how far into the country does he go.
To proof
Let us assume that the total diatance travelled into the country be x .
Formula
As given
A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire,
he walks it back at an average speed of 3 miles per hour.
If he returns home 6 and a half hours after he starts i.e the total time including the bike time and walk time of the cyclist be 6.5 hours.
Than the equation becomes
L.C.M of (10,3) = 30
Than the equation becomes
3x +10x = 195
solving
13x = 195
x = 15 miles into the country
Hence proved
Which property is demonstrated in the equation 0×25=0 ?
2y =30 the answer is 15 correct? They do not give that answer as an option
Answer:
Yes it is 15
Step-by-step explanation:
30/2 =15
Answer:
Yes, you are right! The answer is 15! :)
Step-by-step explanation:
2y = 30
Divide by two to get y on it's own.
y = 15
A rectangular garage is 12 meters long and 10 meters wide. What is its perimeter?
if the origin is the midpoint of the line segment joined by the points (2,3) (x,y) find x and y
Answer:
(- 2, - 3 )
Step-by-step explanation:
Given the endpoints of a segment (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[0.5(x₁ + x₂), 0.5(y₁ + y₂ ) ]
Here (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (x, y) and the midpoint = (0, 0), thus
0.5(2 + x) = 0 , that is
2 + x = 0 ( subtract 2 from both sides )
x = - 2
0.5(3 + y) = 0, that is
3 + y = 0 ( subtract 3 from both sides )
y = - 3
Thus (x, y) = (- 2, - 3 )
in the three stacks of books there are 15 books, 9 books and 9 books if the books were rearranged so that the stack had the same number of books how many books would be even?
Answer:
There would be 11 books in each stack, to have the same number.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Books in stack 1 = 15
Books in stack 2 = 9
Books in stack 3 = 9
2. If the books were rearranged so that the stack had the same number of books how many books would be even?
Total books = Books in stack 1 + Books in stack 2 + Books in stack 3
Total books = 15 + 9 + 9
Total books = 33
Total books/Number of stacks = Number of books per stack to be the same
33/3 = Number of books per stack to be the same
Number of books per stack to be the same = 11
Job A pays $28.59 per hour. Job
B pays $25.71 per hour, but has
health benefits. Lauren will need
to buy health insurance for $6650
per year if it's not a job benefit. If
Lauren expects to work 2,000
hours during the year, and
ignoring taxes, which job should
Lauren take to have more
spending cash?
Answer:
Job B
Step-by-step explanation:
Job A:
Job A pays $28.59 per hour.
Lauren expects to work 2,000 hours during the year, so Lauren can expect to be paid
[tex]\$28.59\times 2,000=\$57,180[/tex]
Job B:
Job B pays $25.71 per hour.
Lauren expects to work 2,000 hours during the year, so Lauren can expect to be paid
[tex]\$25.71\times 2,000=\$51,420[/tex]
Health insurance costs $6,650. Add health insurance to job B payment:
[tex]\$51,420+\$6,650=\$58,070[/tex]
Since [tex]\$58,070>\$57,180,[/tex] Lauren should take job B
Evaluate -|-8 - 2|
-6
-10
10
Answer:
-10
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
4. A Christmas promotion included a $2.5 mail-
promotion included a $2.5 mail-in rebate for the purchase of a 10-liter bome
K and a store coupon for $1.39 off a 5-liter bottle of vegetable oil. Jesse Gatling
bought one 10-liter bottle of milk for $33.00 and a 5-liter bottle of vegetan
$26.89. Calculate his total cost if an envelope costs $0.10 and a stamp costs $
5. An Apple iPod sells for $781.29 and has a mail-in rebate for
$55.00. Determine the cost after the rebate if an envelope
costs $0.13 and a stamp costs $0.40.
The answer is
Final answer:
To find the final cost of an Apple iPod after a mail-in rebate and the cost of mailing the rebate (envelope and stamp), subtract the rebate amount from the original price and add the mailing costs. The total cost after these calculations is $726.82.
Explanation:
Let's tackle the Apple iPod rebate calculation problem. An Apple iPod sells for $781.29 and has a mail-in rebate for $55.00. To calculate the cost after the rebate, you must also consider the costs of an envelope and a stamp, which are $0.13 and $0.40, respectively. The formula for the final cost after applying the mail-in rebate, including the expenses for an envelope and a stamp, is as follows:
Calculate the rebate price by subtracting the rebate amount from the original price: $781.29 - $55.00 = $726.29.
Add the costs of the envelope and stamp to the price after rebate: $726.29 + $0.13 + $0.40 = $726.82.
The final cost of the iPod after the rebate and additional costs is $726.82.
What is 4x-8 equivalent to?
Answer:
4x - 8 = -(8 - 4x)
Step-by-step explanation:
Answer: -32
First you would have to multiply 4x8 which is 32 and then just add the dash before the 32.
Please help
Evaluate the expression for n=2
4(n+1)=
Answer:
12
Step-by-step explanation:
4(2+1)
4*3
12
Answer:
substitute n in bigger equation with 2.
4(2+1)
4×3=12
Liability insurance covers any damage you might do to the apartment building. Contents insurance covers all your belongings. Your landlord requires that you purchase Liability insurance, but he will pay 20% of the cost if you buy both Liability and Contents insurance. If you buy both at the same time the cost is $45 per month. What is the cost to you per month if you buy both and take advantage of the landlord's offer?
Answer:
I believe that it would just be 20% of the $45 which would mean that you would have to pay $36 a month.
Hope this is helpful!
The cost to you per month, after the landlord's contribution, is $36.
If you buy both Liability and Contents insurance, and take advantage of the landlord's offer to pay 20% of the cost, the cost to you per month can be calculated as follows:
Let's assume the cost of Liability insurance is represented by 'L' and the cost of Contents insurance is represented by 'C'.
According to the information given, if you buy both insurances at the same time, the cost is $45 per month.
This means: L + C = $45
The landlord is willing to pay 20% of the cost, which is equal to 20% of ($45). To calculate this amount:
20% of $45 = (20/100) x $45 = $9
So, the landlord will pay $9 towards the cost of both insurances.
Now, if you subtract the landlord's contribution from the total cost, you'll get the amount you have to pay:
(L + C) - $9 = $45 - $9 = $36
Therefore, the cost to you per month, after the landlord's contribution, is $36.
Learn more about insurances click;
https://brainly.com/question/27822778
#SPJ2
mary drove 495 miles in 9 hours at the same rate, how long would it take her to drive 385 miles?
Which salt is the most common found in ocean water?
A.) calcium carbonate
B.) magnesium
C.) potassium
D.) sodium chloride
Answer:
sodium chloride
Step-by-step explanation:
sea salt is basically sodium chloride
Answer:
Sodium chloride is the most abundant salt
Step-by-step explanation:
What’s is the least common multiple of 5,4,3
Answer:
Step-by-step explanation:
The LCM of 5,4,3 is 5×4×3=60
MATH HELP PLS THANK U
Answer:
Step-by-step explanation:
(14)
Given :
y = [tex]\frac{1}{2}[/tex][tex](x-3)^{2}[/tex] - 6
comparing with the standard form :
y = a[tex](x-h)^{2}[/tex] + k
vertex = ( h , k )
Focus = (h , k+14a )
Directrix = y = k
comparing the equation and the standard form ;
Vertex = ( 3 , -6 )
Focus = ( 3 , -6+14{1/2} )
Focus = ( 3 , 1)
Directrix ⇒ y = -6
(19)
[tex]x^{2}[/tex] + [tex]4y^{2}[/tex] = 13 .............. equation 1
[tex]x^{2}[/tex] - [tex]4y^{2}[/tex] = 5 ..................... equation 2
add equation 1 and 2
2[tex]x^{2}[/tex] = 18
divide through by 2
[tex]x^{2}[/tex] = 9
x = ±3
substitute x = 3 into equation 1
[tex]3^{2}[/tex] + 4[tex]y^{2}[/tex] = 13
9 +4[tex]y^{2}[/tex] = 13
4[tex]y^{2}[/tex] = 13 - 9
4[tex]y^{2}[/tex] = 4
[tex]y^{2}[/tex] = 1
y = ±1
Therefore , the solution is ( 3 , 1 ) or (-3 , -1 )
Answer:
14) vertex: (3, -6); focus: (3, -5.5); directrix: y = -6.5
17) see below for a graph
19) (±3, ±1) — four points
20) see below for the work
Step-by-step explanation:
14) The vertex form of a quadratic equation can be written as ...
[tex]y=\dfrac{1}{4p}(x-h)^2+k[/tex]
This parabola will have its vertex at (h, k), its focus at (h, k+p), and its directrix at y=k-p.
The given equation is ...
y = 1/2(x -3)² -6
Comparing this to the form above, we see that ...
4p = 2, h = 3, k = -6
From this, we can find the value of p to be ...
p = 2/4 = 1/2 . . . . divide the above equation by 4
Now, we know the parameters of the parabola are ...
vertex = (h, k) = (3, -6)focus = (h, k+p) = (3, -6 +1/2) = (3, -5.5)directrix ⇒ y = k-p = -6 -1/2 = -6.5_____
17) The equation of the parabola is given as ...
y = 1/4(x -1)² +5
Comparing the given equation to the form shown in the above problem, we see that ...
4p = 4 ⇒ p = 1(h, k) = (1, 5)So the parameters of the parabola are ...
vertex = (1, 5)focus = (1, 5+1) = (1, 6)directrix ⇒ y = 5-1 = 4The graph is shown below.
_____
20) It is convenient to show the solution steps before showing the solution. Hence we show problem 20 (steps) before problem 19 (solution).
The given system of equations is ...
x² +4y² = 13x² -4y² = 5The two equations can be added to give ...
(x² +4y²) +(x² -4y²) = (13) +(5)
2x² = 18 . . . . . . eliminate parentheses, collect terms
x² = 9 . . . . . . . . divide by 2
x = ±3 . . . . . . . . take the square root
__
The second equation can be subtracted from the first to give ...
(x² +4y²) -(x² -4y²) = (13) -(5)
8y² = 8 . . . . . . . eliminate parentheses, collect terms
y² = 1 . . . . . . . . . divide by 8
y = ±1 . . . . . . . . . take the square root
_____
19) Based on the above, the four solutions to the given system of equations are ...
(3, 1), (3, -1), (-3, 1), (-3, -1)
__
A graph is shown in the second attachment.
0.6 of it is 30
Find the number
Answer:
The number is 50.
Step-by-step explanation:
0.6x=30
x=30/0.6
x=50
Jackie is thinking of one number and Adrian is thinking of another. Camila thought if I take these two numbers, they have a product of 567 and a difference of six. Jackie’s number is higher than Adrian’s. What are Jackie’s and Adrian’s numbers?
Answer:
Jackie: 27Adrian: 21Step-by-step explanation:
Integers with a product of 567 are ...
567 = 1·567 = 3·189 = 7·81 = 9·63 = 21·27
The last of these pairs of factors have a difference of 6, so they are the answers.
Jackie's number is 27; Adrian's number is 21.
_____
You could let "a" represent Adrian's number and write the equation ...
a(a +6) = 567
a^2 +6a +9 = 576 . . . . . complete the square
(a +3)^2 = 24^2 . . . . . . . write as squares
a = -3 +24 = 21 . . . . . . . . take the positive square root; subtract 3
Adrian's number is 21; Jackie's number is 27.
What is solution of 8x-2y =1 and -4x+y = 3
Answer: it has no solution
Step-by-step explanation:
8x - 2y = 1 ..................... equation 1
-4x + y = 3 ...................... equation 2
solving the system of linear equation by substitution method . From equation 2 , make y the subject of the formula.
y = 3 + 4x .......................... equation 3
substitute equation 3 into equation 1 .
8x - 2(3 + 4x ) = 1
8x - 6 - 8x = 1
8x- 8x - 6 = 1
-6 = 1
this means that the equation has no solution
2/5 times 25 help I got game day tomorrow
Answer:
10
Step-by-step explanation:
You are doing:
(2/5) * 25
You can do it two ways, first divide, then multiply, OR multiply, then divide.
In this case, I will multiply, then divide:
First, multiply:
(2 * 25)/5 = (50)/5
Next, divide:
50/5 = 10
10 is your answer.
~
What is the answer to the problem 1 + -4
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
cuz its like 4-1
Sally found 58 seashells on the beach, she gave Jason some of her seashells. She has 28 left. How many seashells did she give to Jason?
Sally gave 30 shells to Jason
Solution:
Given that, Sally found 58 seashells on the beach, she gave Jason some of her seashells
She has 28 left
To find: Number of sea shells she gave to Jason
From given,
Total number of shells she found = 58
Remaining shells = 28
Therefore,
Number of sea shells she gave to Jason = Total number of shells she found - Remaining shells
Number of sea shells she gave to Jason = 58 - 28 = 30
Thus Sally gave 30 shells to Jason
5[8 (7 — 4) divided by 6]
What is the value of the expression?
Please please please answer!
Answer:
20
Explanation:
PEMDAS
An economy package of cups has 630 green cups. If the green cups are 30% of the total package, how many cups are in the package? 10 pts pls help
There are 2100 cups in the package.
Step-by-step explanation:
Given,
Number of green cups in package = 630
This represent 30% of the total package.
Let,
x represent the total number of cups in package.
30% of x = 630
[tex]\frac{30}{100}*x=630\\0.30x=630[/tex]
Dividing both sides by 0.30
[tex]\frac{0.30x}{0.30}=\frac{630}{0.30}\\x=2100[/tex]
There are 2100 cups in the package.
Keywords: percentage, division
Learn more about percentages at:
brainly.com/question/9817377brainly.com/question/9762331#LearnwithBrainly