6 adults & 4 senior citizens have to pay $228 while 13 adults and 7 senior citizens have to pay $459 to visit an exhibition at the Art science Museum . Find the total amount 2 adults & Senior citizen have to pay to visit the exhibition.
Answer: Rs. 69
Step-by-step explanation:
Let the amount that the adults have to pay be Rs. “x” and the amount that the senior citizens have to pay be Rs. “y”.
Step 1:
According to the question, we get
Equation 1:
6x + 4y = 228
Equation 2:
13x + 7y = 459
Step 2:
Then, by multiplying equation 1 by 7 & equation 2 by 4, we get
7 * [6x + 4y = 228]
⇒ 42x + 28y = 1596 …. (iii)
And,
4 * [13x + 7y = 459]
⇒ 52x + 28y = 1836 …. (iv)
Step 3:
Now, Subtracting eq. (iii) from eq. (iv), we get
52x + 28y = 1836
42x + 28y = 1596
(-) (-) (-)
---------------------------
10 x = 240
----------------------------
⇒ x = 240/10 = 24
Substituting the value of x in Eq. (1)
(6*24) + 4y = 228
⇒ y = [228 - 144]/4 = 21
Step 4:
Thus,
The total amount that 2 adults and a senior citizen have to pay to visit the exhibition is,
= 2x + y
= (2*24) + 21 ….. [substituting x= 24 & y = 21]
= Rs. 69
Step-by-step explanation:
Hope this helps
can i get braineist
100 POINTS AND BRAINLIEST!!
Answer:
A. $47,143
Step-by-step explanation:
Given information:
Current annual lifestyle cost ≈ $33,000Take home pay estimation = 70%Gross income: Total income before any deductions.
If take home pay is approximately 70% of the annual gross income, to be able to maintain the current lifestyle, 70% of the annual gross income needs to be at least $33,000.
Let x = annual gross income
Therefore:
70% of x = $33,000
⇒ 0.7x = 33000
⇒ x = 33000 ÷ 0.7
⇒ x = 47142.8571...
Therefore, the annual gross income needs to be $47,143 (nearest dollar) to maintain the current lifestyle.
Annual gross income be y
70% of y=330000.7y=330007y=330000y=330000/7y=47143Option A
Which equation represents a line parallel to the line x-4y=-2
a: y=-4x - 2
b: y=-1/4 + 5
c: y= 1/4x - 3
d: y=4x - 8
Answer:
c
Step-by-step explanation:
the slope of x-4y=-2 is 1/4
It is given that
A = {1, 2, 3, 4, 7} and B = {2, 4, 8, 10).
(i) List all the elements in A∩B in set notation.
(ii) Draw a Venn diagram to represent the sets A and B.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Given :
A = {1, 2, 3, 4, 7}
B = {2, 4, 8, 10)
A∩B = {2 , 4 }
See the venn diagram in attachment ~
4. Susannah is drawing a card from a standard 52-card deck. A standard deck of cards
contains four suits -- diamond, club, spade & heart. Each suit has 13 cards. Face cards (12)
are Jack, Queen, and King cards.
a. What is the probability that the card she draws is a diamond?
b. What is the probability that the card she draws is a face card?
c. What is the probability that the card she draws is a face card and a diamond?
d. What is the probability that the card she draws is a face card or a diamond?
Answer:
1/4(25%), 3/13(23%), 3/52(6%), 11/26(42%)
Step-by-step explanation:
a. 4 suits, therefore the probability is 1/4
b. there are 12 face cards. therefore the probability is 12/52 which simplifies to 3/13
c. there are only 3 cards that are diamonds and face cards. Therefore, it is 3/52
d. there are 12 face cards and 13 cards of each suit. But there are 3 that overlap. therefore, there are 22 in total, so 22/52. it simplifies to 11/26.
Can someone help me do this
Answer:
x = 6
Step-by-step explanation:
because of the exterior angle theorem, instead of looking for the inner angle's amount, I can directly look for the other angle's amount.
so:
6x + 8 + 5x + 8 = 82
11x + 16 = 82
11x = 66
x = 6
Lydia's bedroom has an area of 108 square feet. The length of the room is 12 feet long. What is the width of the room?
Answer: 9 Feet
Step-by-step explanation:
Answer:
hey it's the A xbxjdjdjdjdnd
could someone please help answer this, thank you, please no spam, will give brainliest, (homework help)!
Answer:
The answer would be W < - 18
What is the missing value?
Answer:
I guess 5⁴ is Missing value
(4a + 2) (6a ^2 - a + 2 )
so basically idekkkkkkk
52 miles every 2 hours
52 / 2 = 26 miles every hour
[tex]\frac{1}{3} (26)=8\frac{2}{3}[/tex] miles every 1/3 hours
Answer: The go cart can travel [tex]8\frac{2}{3}[/tex] miles every 1/3 of an hour
Determine the least three-digit number that is divisible by 3, 5, and 9.
Answer:
135
Step-by-step explanation:
Hope it helps!!!!!!!
-50= 6a+28 please help
Answer:
a=-13
Step-by-step explanation:
-50=6a+28
isolate the a
-50-6a=28
-6a=28+50
-6a=78
divide both sides by -6
a=-13
find the y intercept
y = 3/4x - 4
Look at picture ! Determine the number of sides for the 6th shape in this pattern.
A) 6
B) 7
C) 8
D) 9
Answer: C) 8
Explanation: It seems that the first three shapes in this pattern are increasing by one side as they progress, that means they go 3 sides, 4 sides, 5 sides, etc. If this keeps going until the 6th shape, it would land on 8 sides, which is an octagon.
I hope this helps you :)
The monthly cost of a certain texting plan is given by the function C(n)= 0.06n +9.95, where C(n) is in dollars and n is the
number of texts sent in a month. Find and interpret C(90)
Monthly Cost of Texting Plan
Ac(n)
Answer:
C(90) = 15.35
Step-by-step explanation:
Given the function, C(n) = 0.06n + 9.95:
where C = total cost of texting plan
n = number of texts sent in a month
9.95 = flat fee
To find C(90):
Substitute 90 as the input, n, for the function:
C(90) = 0.06n + 9.95
C(90) = 0.06(90) + 9.95
C(90) = 5.40 + 9.95
C(90) = 15.35
C(90) represents the cost of sending 90 texts in a month is $15.35.
Please mark my answers as the Brainliest if you find my explanations and solutions helpful :)
Which set of ratios is equivalent to 4:4
A. 8 to 10, 10/15 B, 8 to 10, 16/20
C. 15/20, 20:25 D. 40/50, 24;36
Answer:
B
Step-by-step explanation:
both simplify into 4:5
Graph the line that goes through the points (2,0) and (2,5).
The line is what
.
The line has what
slope.
Answer:
0
Step-by-step explanation:
5 - 0 = 5
2 - 2 = 0
5/0 = 0
Answer:
Step-by-step explanation:
what is 200x350+23-7
Answer:
70,016
Step-by-step explanation:
PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)
for this problem, we have to multiply first!
1) 200 x 350 = 70000
now we have ------> 70,000 + 23 - 7
we just have to work left to right
2) 70,023 - 7
3) 70,016
let me know if you have any other questions!
can someone with This thank you!!
Answer:
(a)
Coordinate A: (0,-3)
Coordinate B: (1,0)
Coordinate C: (5,2)
(b)
1, 5, 6, 7
compounds are pure substances. What other substances are considered pure substances? A: chemical reactions B: elements C: mixtures D: solutions
Answer:
Step-by-step explanation:
B
Two positive numbers have a difference of 8. The larger number is two more than twice the smaller. Find the two numbers
Let the bigger number be 'p' and the smaller number 'p'.
Since the numbers have a difference of 8, then p - q = 8
& since the larger number is two more than twice the smaller, then
p = 2q + 2
⇒ (2q + 2) - q = 8 [by substituting for equation for p]
q = 6
Since q = 6,
⇒ p - 6 = 8
p = 14
∴ the smaller number is 6 and the bigger 14
Help This Looks Hard!
Answer:
-204ºC
Step-by-step explanation:
The third option.
Abbie is twice as old as susan susan is 5 year old than Marc how old is Marc?
9
7
5
2
Answer:
9
Step-by-step explanation:
Answer:
A.) 9
Step-by-step explanation:
Hello! Please help!!
Answer:
3 x 6 = 18
Step-by-step explanation:
think it's right. that jump from 6 to 3 might be cause of my downfall.
Answer:
18!
Step-by-step explanation:
Its going down by 1 number, 9 x 10 = 90
8 x 9 = 72
7 x 8 = 56
6 x 7 = 48
3 x 6 = 18
A bicycle has a speed of 6 m/s. What is its speed in km/h?
(1 km=1000 m)
(1 h = 3600 s)
answer:
m/s --- km/h = [tex]\frac{1000}{3600}[/tex]
km/h= [tex]\frac{5}{18}[/tex]
6m/s= [tex]\frac{6*5}{18}[/tex]
6m/s= 1.66 km/h
The speed of the bicycle in km/h is 21.6 km/h.
Given that;
A bicycle has a speed of 6 m/s.
Since we know that;
1 km = 1000 m
And, 1 hour = 3600 s
Hence change the speed of the bicycle in km/h as;
[tex]Speed = 6 m/s[/tex]
It can be equal to;
[tex]Speed = \dfrac{6 \times \dfrac{1}{1000} km }{\dfrac{1}{3600} seconds }[/tex]
[tex]Speed = 21.6 km/s[/tex]
Therefore, the speed of the bicycle in km/h is 21.6 km/h.
To learn more about the measurement unit visit:
https://brainly.com/question/777464
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What is the value of x in this equation? 4x + 6 = -62
Answer:
- 14
Step-by-step explanation:
4x + 6 = - 62
4x = - 62 + 6
4x = - 56
x = - 56 / 4
x = - 14
The value of x in this equation will be; x = -14
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We are given that the equation 4x + 6 = - 62
Here, we need to solve for x
4x + 6 = - 62
4x = - 62 + 6
4x = - 56
x = - 56 / 4
x = - 14
Therefore, the solution will be as;
x = -14,
The value of x in this equation will be; x = 14
Learn more about equations here;
brainly.com/question/25180086
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Mr jones paid for a table using hire purchase plan if he made a deposit of $2000 and a monthly payment of $750 for 9 months , what did the table cost him
Answer:
138 I think
Step-by-step explanation:
2,000 - 750 ÷ 9 = 138
please help me its for my math and im not good at math :(
answer the question with clear explanation !!
[tex]food = \frac{1}{3} \times 48000 = 16000 \\ rent = \frac{1}{5} \times 48000 = 9600 \\ clothes = \frac{1}{4} \times 48000 = 12000 \\ food + rent + clothes = x \\ 16000 + 9600 + 12000 = 37600 \\ ndagune \: income - what \: he \: spends = what \: he \: saves \\ 48000 - 37600 = 10400 \\ ndagune \: saves \: 10400[/tex]