Answer:
x=3
Step-by-step explanation:
First, combine like terms on the left side
4x-5x+9=5x-9
-x+9=5x-9
Subtract 9 on both sides
-x=5x-18
Subtract 5x on both sides
-6x= -18
Divide by -6 on both sides
x=3
Hope this helps! :)
Expand the left side:
(3x + 2) (5x + 1) = 15x² + 10x + 3x + 2 = 15x² + 13x + 2
Then a = 15 and b = 13, so a - b = 2.
Step-by-step explanation:
1. first multiply -1 times all elements of matrix A
2. then multiply 1/3 by all elements of matrix B
3. then add each corresponding entries to get the result.
from step 1. matrix A will be
-4 -2. -1. -3
-2. 0. 1. -3
step 2. matrix B will be
3. -1. -2. -4
3. -10. 10. -1
add each corresponding elements to get
-1. -3. -3. -7
1. -10 11. -4
The volume of cone shaped popcorn cup is 75.36 cubic inches.
According to the given question.
The height of the popcorn cup = 8inches
And the diameter of the cup = 6 inches
⇒ Radius of the popcorn cup = 6/2 = 3 inches
As we know that, the volume of cone is calculated by the formula
volume of cone = (πr^2h)/3
Therefore, the volume of cone shaped popcorn cup
= 3.14((3)^2)(8)/3
= 3.14(3)(8)
= 75.36 cubic inches
Hence, the volume of cone shaped popcorn cup is 75.36 cubic inches.
Find out more information about volume of cone here:
brainly.com/question/23173618
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Answer:
"24 pounds" is the appropriate answer.
Step-by-step explanation:
According to the question, the equation will be:
⇒ 
...(equation 1)
or,
⇒ 
...(equation 2)
Now,
By multiplying (equation 1) by 55 and (equation 2) by 1, we get
⇒ 
...(equation 3)
⇒ ...(equation 4)
From equation 3 and 4, we get
⇒ 
By putting the values of "y" in equation 1, we get
⇒ 
Thus the value of x be "24 pounds".
