Answer: 40 degrees
Step-by-step explanation: alternate interior angles are equal.
Answer:
soda = 35mg
coffee = 81mg
energy = 83mg
Step-by-step explanation:
coffee + energy + soda = 199
coffee = 11 + (2 * soda)
energy = (soda + coffee) - 33
(11 + (2 * soda)) + ((soda + (11 + (2 * soda))) - 33) + soda = 199
11 + 2s + s + 11 + 2s - 33 + s = 199
22 + 6s - 33 = 199
-11 + 6s = 199
6s = 210
s = 35
soda = 35mg
c = 11 + 2s
c = 11 + 2(35)
c = 11 + 70
c = 81
coffee = 81mg
e = s + c - 33
e = (35) + (81) - 33
e = 116 - 33
e = 83
energy = 83mg
To find f(x)-g(x), find (3x-21)-(3x+21)
(3x-21)-(3x+21)
Flip the signs in the second binomial
(3x-21)-3x-21
Combine like terms
3x-3x-21-21
-21-21
-42
The final answer is -42. X is irrelevant because whatever you plug in will always equal -42.
Answer:
40 cm
Step-by-step explanation:
57600 is the volume here
Because "was filled with 57600cm of water."
<h2><u>- </u><u><em>
NOTE</em></u><u> </u>: Volume can Never change unless There is a Subtracted amount of water That's Removed </h2>
36 x 40 x n = 57600
n = 40
Question (1):
Assume that the first number is n. Since the two number are consecutive even numbers, this means that the second number is n + 2
We know that the sum of the two numbers is 70. This means that:
n + n + 2 = 70
2n + 2 = 70
2n = 68
n = 68/2
n = 34
This means that the two numbers are: 34 and 34+2 = 36 .......> last option
Question (2):
Assume dog's age is x. We know that cat's age is 5 less than twice dog's age. This means that:
cat's age = 2x - 5
We know that cat's age is 11, therefore:
11 = 2x - 5
11 + 5 = 2x
16 = 2x
x = 16/2 = 8
Dog's age is 8 .......> first option
Question (3):
The three numbers are consecutive. This means that we can assume the numbers to be n, n+1 and n+2. We know that their sum is 46. Therefore:
n + n + 1 + n + 2 = 46
3n + 3 = 46
3n = 43
n = 43/3
The three numbers are 43/3 , 46/3 and 49/3 .......> none of the given options in correct
Question (4):
The three consecutive numbers are all even. This means that we can assume the numbers to be n , n+2 and n+4
We know that their sum is 198. This means that:
n+n+2+n+4 = 198 .........> second option
Question (5):
The four consecutive numbers can be assumed as n, n+1 , n+2 and n+3. We know that their sum is 86. Therefore:
n + n+1 + n+2 + n+3 = 86 .......> third option
Question (6):
Assume the width is w. We know that the length is 15 cm greater than the width. This means that:
length = w + 15
Now, we have:
perimeter = 2(length + width)
150 = 2 (15 + w + w)
75 = 15 + 2w
60 = 2w
w = 60/2
w = 30 cm
This means that:
length = 15 _ 30 = 45 cm
Based on the above, the dimensions of the rectangle are:
length = 45 cm and width = 30 cm .......> first option
Question (7):
Assume original price before taxes is x
Total price = original price + taxes
825 = x + 0.1x = 1.1 x
x = 825/1.1
x = $750 .........> second option
Question (8):
Assume cost of helmet is x and that cost of bicycle is 5x. We know that the total is 240. This means that:
240 = x + 5x = 6x
x = 240/6
x = 40
This means that:
price of helmet = $40
price of bicycle = 5(40) = $200
..........> first option
Hope this helps :)