5x-8y=1...(1)
3x+6y=-21...(2)
(1)*3:
15x-24y=3...(3)
(2)*5:
15x+30y=-105...(2)
(3)-(2):
15x-24y-(15x+30y)=3-(-105)
15x-24y-15x-30y=108
-54y=108
y=-2
Answer:
42$
Step-by-step explanation:
The person pays 33$ for a membership,and then visits the museum 9 times.So 33+(9*1)=42
Answer:
The answer is −a^4 + 5a^3b + 2a^3c − 4a^2b^2 − 10a^2bc − a^2c^2 + 8ab^2c + 5abc^2 − 4b^2c^2 / −a^4 + 2a^3b + 2a^3c − a^2b^2 − 4a^2bc − a^2c^2 + 2ab^2c + 2abc^2 − b^2c^2
Step-by-step explanation:
This the equation being simplified
4(x + 7) = 38
Since there is no operation sign between the 4 and parenthesis, it makes it an automatic multiplication problem.
You would use distributive property to multiply each which should leave your equation looking like this afterwards:
4x + 28 = 38
(4 times x and 4 times 7)
You would then solve it like a two step equation,
1. +28 - 28 = 0
2. 38 - 28 = 10
4x = 10
10 divided by 4 = 2.5
x = 2.5
We can recheck our work by substituting in the value of x.
4(2.5 + 7) = 38
10 + 28 = 38
When we substituted in the value, it gave us the correct inequality.
Therefore,
x = 2.5
Answer:
cubic meter of clay will be used to create all the pyramids
Step-by-step explanation:
The remaining part of the question is given in the attached file
Solution
The total clay used is equal to the sum of volumes of two triangular and three rectangular pyramids.
For Rectangular Pyramid,
Volume of three rectangular pyramids

Substituting the given values in above equation, we get -
cubic centimeter
For triangular Pyramid,
Volume of two triangular pyramids

cubic centimeter
Total clay used = Volume of 3 rectangular pyramid + volume of 2 triangular pyramid
Cubic centimeter