At a zoo, the price of 4 adult tickets and 6 child tickets is $77.The price of 6 adult tickets and 4 child tickets is $83. What is the ticket price for one adult and for one child?
Answer:
the cost of 1 child ticket is $6.5 and the cost of 1 adult ticket is $9.5
Step-by-step explanation:
Given that:
the price of 4 adult tickets & 6 child tickets = $77
the price of 6 adult tickets & 4 child tickets = 83
then the price of 1 adult ticket and 1 child ticket will be:
Let assume that the cost of 1 adult ticket to be $p
Then;
the cost of 4 adult ticket = $4p
Similarly, the cost of 6 adult ticket = $6p
However, assuming that the cost of 1 child ticket is $q
Then;
the cost of 6 child ticket = $6q
the cost of 4 child ticket = $4q
∴
We can express them with their given prices that:
4p + 6q = 77 --- (1)
6p + 4q = 83 --- (2)
From equation (1), let 4p = 77 - 6q
Then; [tex]p = \dfrac{77 - 6q}{4}[/tex]
replace the value of p into equation (2)
∴
[tex]6 \Big ( \dfrac{ 77 - 6q }{4}\Big) + 4q = 83[/tex]
[tex]\dfrac{462 - 36q}{4}+ 4q = 83[/tex]
[tex]115.5 - 9q + 4q = 83 \\ \\ 115.5 -5q= 83 \\ \\ 115.5 - 83 = 5q \\ \\ 32.5 = 5q[/tex]
[tex]q= \dfrac{32.5}{5}[/tex]
q = 6.5
Since q = 6.5, then using equation (1)
4p + 6(6.5) = 77
4p +39 = 77
4p = 77 -39
4p = 38
p = 38/4
p = 9.5
Thus, the cost of 1 child ticket is $6.5 and the cost of 1 adult ticket is $9.5
V70
Estimate the square root of the number below to the nearest tenth
please help solve for x ................................................................
Answer:
104°+33°+(5x+13)°=180°[all angle sum is 180°]
137°+(5x+13)=180°
137°+13+5x=180°
150°+5x=180°
5x=180°-150°
5x=30
x=30/5
×=6
Answer:
x = 6
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
5x + 13 + 104 + 33 = 180, that is
5x + 150 = 180 ( subtract 150 from both sides )
5x = 30 ( divide both sides by 5 )
x = 6
0
o
C
-10
-5
-5
0
5
10
-5
Answer:
its -10
Step-by-step explanation:
NO explain needed
If the density of a piece of wood is 0.85 g/cm3, what is the volume if the mass of 24.99 cm3?
Answer:
to find volume
Step-by-step explanation:
I think so it is like this 24.99/0.85 =29.4
. What is the value of x
please help
Answer:
9
Step-by-step explanation:
12x + 17x - 14 + 90 + 2x + 5 = 360
31x + 81 = 360
31x = 279
x = 9
There are 120 cars in a grocery store parking lot. The probability that a car selected at random is white is 18.How many of the cars in the parking lot are white?
A 8
B 15
C 30
D 105
Answer:D
Step-by-step explanation:
If you subtract 120-18 it is 102 and 105 is the closest feel free to correct me if I'm wrong.
How do you do this C=2πr with π=3.14?
Answer: C=2*3.14*r
Step-by-step explanation:
You just plug in 3.14 for pi, it's pretty simple
Is my answer right? if not can you please show me the correct answer
Answer: No, is a=9
Step-by-step explanation:
three to the fifth power
answer please
Answer:
243
Step-by-step explanation:
Answer:
243
Step-by-step explanation:
Which of the following statements provides the correct freezing and boiling points of water on the Celsius and Fahrenheit temperature scales
7. 8x - 4= 4(2x + 1) have how many solutions
Answer:
0
Step-by-step explanation:
Let's solve for x
8x-4=4(2x+1)
8x-4=8x+4
0= 8
This obviously isn't true and therefore there are 0 solution
Answer:
No solution as both side not equal.
- 5x + 9y = - 32
-5x - 3y = 4
Answer: look at the picture
Step-by-step explanation: Hope this help :)
The perimeter of triangle ABC is 96. Find the value of x. 4x + 1 2x 3x + 2 perimeter of ABC = 96
Answer:
4.5is answer
Step-by-step explanation:
perimeter of ABC = 96
4x + 1 2x 3x + 2=96
21x=96
x=96/21=4.5
Anais bought 4 1/2 yards of ribbon. She had 3 feet 8 inches of ribbon left after trimming some curtains. How many inches of ribbon did anais use to trim the curtains
Answer:
First convert all numbers into inches since that is the answer being solved for.
1 yard =36 inches
4.5 x 36 = 1,620 inches
1 foot = 12 inches
3 x 12 = 36 inches
36 + 8 = 44 inches
Now take 1,620 inches (starting ribbon measure) and subtract 44 inches (what was left over) to get the inches used to trim curtains.
1,620 inches - 44inches =
1,576 inches were used to trim the curtains.
Step-by-step explanation:
Brainly highly appreciated <3
I need the solution. Please give steps
y = 10x + 20
y = 20x + 10
Answer:
If your trying to answer for X, here is how you do it.
For the equation '' Y = 10x + 20 '', isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', to get your answer:
X = Y/10 − 2
Or
X = [tex]\frac{Y}{10}[/tex] − 2
For the other equation " Y = 20x + 10 ", it's the exact same thing. Isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', to get your answer:
X = Y/20 − 1/2
Or
X = [tex]\frac{Y}{20}[/tex] − [tex]\frac{1}{2}[/tex]
Id.k uhhhh
X = 30?
wee e wee e we
I dont got steps sorry :v
Evaluate the expression when x = 2 and y = 6, show all your work.
[tex]2x^{3} +3y-4[/tex]
Which value will change most when
13 is added to the data set?
0, 6, 4, 5, 3, 3, 2
A mean
B median
C mode
D outlier
Answer:
it's the mean bc mode and median will not change and that outlier is the one that's different but they are all diff
Evaluate the following expression. Round to the nearest hundredth when necessary.
27
Answer:
27?
Step-by-step explanation:
27 is a whole number you know
Gabriela was solving an equation, but when she checked her answer, she saw solution was incorrect . She knows she made a mistake, but she can’t find it.
Answer:
The distribution at the 2nd line
Step-by-step explanation:
I believe where Gabby went wrong was in her multiplication distribution
12*5=60 not 72
hope this helps!!
The value of y form the given equation is -65/11. Gabriela did mistake in second step while multiplying 12 and 5 and - sign into a bracket.
The given equation is 12(5+2y)=4y-(5-9y).
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation can be solved as follows:
12(5+2y)=4y-(5-9y)
⇒ 60+24y=4y-5+9y
⇒ 60+24y=13y-5
⇒ 24y-13y=-5-60
⇒ 11y=-65
⇒ y=-65/11
Therefore, the value of y form the given equation is -65/11. Gabriela did mistake in second step while multiplying 12 and 5 and - sign into a bracket.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ5
plz answer all of them
Answer:
ace
Step-by-step explanation:
Answer:
See attached
Step-by-step explanation:
Solution in the picture
Help pls (pls dont write absolute nonsense on here pls i really need help)
A construction company submitted bids for three contracts. The company estimates that it has a 20%
chance of winning any given bid. Let X represent the number of bids the company wins. Here is the
probability distribution of X along with summary statistics:
X = # of bids won-
0 1 2 3
P(X)-
0.512 0.384 0.096 0.008
Mean: µx=0.6
Standard deviation: σx=0.69
It costs the company a total of $2,000 to submit these bids, and they stand to gain $10,000 for each bid
they win. Let V represent their net gain from submitting these three bids.
What are the mean and standard deviation of V?
µv= ______dollars
σv=_______dollars
Answer: 4000 dollars
6900 dollars
Step-by-step explanation:
A shop advertises 15% off it's prices in the sale.
A purse is £4.42 in the sale.
What was the original price?
Answer:
5.20
Step-by-step explanation:
100%-15%=85%
85%->4.42
100%->4.2÷85×100=5.20
HELPPP PLEASE!!!! HELP
Write down in terms of n an expression for the nth term of the following sequence
12 16 20 24 28
Answer:
4n + 8
Step-by-step explanation:
Everything at a store is on sale for 25% off. The regular price of a jacket is $35.00. What is the discount price?
Answer:
$26.25
Step-by-step explanation:
35(1-0.25)
= 35(0.75)
= 26.25
HELLP ILL GIVE ALL MY POINTS IF SOMEONE HELPS The ratio of bows to headbands of Monique’s hair accessories is 8:4.
Select all true statements.
For every 8 hair accessories, 4 are bows.
For every 8 bows, there are 4 headbands.
For every 8 headbands, there are 4 bows.
For every 8 hair accessories, 4 are headbands.
For every 12 hair accessories, 4 are headbands.
Answer:
Its a
Step-by-step explanation:
Answer:
B and D I think
Explaination:
its bows to hair so its 8:4
and add head bands to bows thats 12
12:4
( all to headbands)
Hope it make sense
2/5 divided by 4 and reduce the answer
Answer:
1/10 i guess
Step-by-step explanation:
2/5=0.4
0.4/4=0.1
0.1=1/10 (one tenth_
Answer:
1/10
Step-by-step explanation:
2/5 ÷4 is the same as 2/20, which is 1/10
1 Which expression is equivalent to 4 − (−7)?
A 7 + 4
B 4 − 7
C −7 − 4
D −4 + 7
Answer:
The answer is A
Step-by-step explanation:
4−(−7)
=4−(−7)
=4+7
=11