At a movie theatre, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is $64. What is the price for one child and one adult ticket. This is my last question please help :)
Answers
The ticket for an adult costs $10 and the ticket for a child costs $7
- Let adults tickets be a
- Let children tickets be c
Based on the information given, the equation to solve the question will be:
2a + 4c = 48
5a + 2c = 64
Multiply equation i by 5
Multiply equation ii by 2
10a + 20c = 240
10a + 4c = 128
Subtract the equations
16c = 112
c = 112/16
c = 7
The ticket for a child is $7
Since 2a + 4c = 48
2a + 4(7) = 48
2a + 28 = 48
2a = 48 - 28
2a = 20
a = 20/2
a = 10
The ticket for an adult cost $10
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Answer:
The price for one adult is $10 while the price for one child is $7
Step-by-step explanation:
Let
price for an adult = a
price for a child = b
2a + 4b = 48.............(i)
5a + 2b = 64.............(ii)
make a subject of the formula in equation (i)
2a = 48 - 4b
divide through by 2
a = 24 - 2b
Insert the value of a in equation (ii)
5(24 - 2b) + 2b = 64
120 - 10b + 2b = 64
collect like terms
- 8b = 64 - 120
-8b = -56
divide both sides by -8
b = 7
insert the value of b in equation(i)
2a + 4(7) = 48
2a + 28 = 48
2a = 48 - 28
2a = 20
divide both sides by 2
a = 10
The price for one adult is $10 while the price for one child is $7
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What is the volume of the entire figure?____cm3
Answers
m is the slope
b is the y-intercept
First find the slope
So far we have: y = 1/5x + b
Now we need to find b
y = 1/5x + b
Plug in (0,-2)
-2 = 1/5(0) + b
-2 = b
So the final equation is
-2 is your y intercept and using (y-y)/(x-x) you can get slope
(-1 - - 2)/ (5-0) = (-1+2) / (5) = 1/5
c = 4w + 3
B. c = w + 9
c = w − 3
C. w = c + 9
w = c − 3
D. w = c − 9
w = 4c + 3
Answers
The answer will be option B that is [ c = w + 9 ] and [ c = w − 3 ].
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
- Variable c is 9 more than variable w.
- Variable c is also 3 less than variable w.
From the given data in the question, the expression will be given as:-
[ c = w + 9 ]
[ c = w − 3 ]
Therefore the answer will be option B that is [ c = w + 9 ] and [ c = w − 3 ].
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x=
2. 2/7x + 6 + 17x = 18
x=
Answers
6(-3 - x) - 2x = 14
-18 - 6x - 2x = 14
simplify
-18 - 8x = 14
then add 18 to both sides to get the x's on there own
-8x = 32
then divide by -8
x = 32/-8
x = -4
2) multiply everything by 7x
2 + (6 x 7x) + ( 17x × 7x) = 18 x 7x
2 + 42x + 119x^2 = 126x
put everything on one side
119x^2 - 84x + 2 = 0
then use quadratic equation to solve
x = 0.024671849 or 0.6812105039
exponent form:
word form:
Answers
word form: one thousand
word form for exponent; ten to the power of three
Answers
Answer:
a ║ c
b ║ f
Step-by-step explanation:
when parallel lines are cut by a transversal line, the supplementary angles are angles whose angle measure adds up to 180°
so answers are:
a ║ c
b ║ f
A
tan A
B. Ocos A
C.
cos B
D
tan B
Answers
Final answer:
In a right triangle, sin A equals cos B because A and B are complementary angles. Sin A cannot equal tan A, tan B, or cos A.
Explanation:
In a right triangle, the sine of an angle is defined as the length of the opposite side over the length of the hypotenuse. Therefore, sin A cannot be equivalent to tan A or tan B because tangent of an angle is the ratio of the opposite side to the adjacent side. The sine of angle A is not related to cos A because cosine of an angle is the length of the adjacent side over the length of the hypotenuse.
However, it's relevant to note that in a right triangle, the sine of an angle is equal to the cosine of its complementary angle. Since A and B are complementary angles in a right triangle (sum up to 90 degrees), it means that sin A equals cos B. So, the correct answer is C: cos B.
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