Answer:
Step-by-step explanation:
The formula of a volume of a cone:
r - radius
H - height
We have r = 10cm and H = 16cm. Substitute:
x+y=19 and 6.5x+3y=74.5 can be used to determine the number of gifts wrapped and number of giftbags prepared where x represents the wrapped gifts and y represents giftbags.
Step-by-step explanation:
Let,
x be the gift wrapped with wrapping paper.
y be the gifts in gift bag.
Time for wrapping one gift = 6.5 minutes
Time for doing 1 gift bag = 3 minutes
Total gifts = 19
Total time = 74.5 minutes
According to given statement;
x+y=19
6.5x+3y=74.5
x+y=19 and 6.5x+3y=74.5 can be used to determine the number of gifts wrapped and number of giftbags prepared where x represents the wrapped gifts and y represents giftbags.
Keywords: linear equation, addition
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The order of arithmetic operations is given by the acronym PEMDAS, which means
Parentheses,
Exponents,
Multiplication,
Division,
Addition,
Subtraction.
These two examples illustrate how the use of parentheses can change the order.
Example 1:
5+7/3x4-2/5 has an answer of 13.933.
Use PEMDAS to obtain
5+(7/3)x4-(2/5)
= 5+(2.3333x4)-0.4
= 5+9.3333-0.4
= 14.3333-0.4
= 13.933
If we apply the parentheses: (5+7)/3x4-2/5
The result is
(12/3)x4-(2/5)
= (4x4)-0.4
= 16-0.4
= 15.06
which is a different answer.
Example 2:
8/3²x5+4 has the answer 8.444
Use PEMDAS to obtain
8/(3²)x5+4
= (8/9)x5+4
= (0.8889x5)+4
= 4.4444+4
= 8.4444
If we apply the parentheses (8/3)²x5+4:
The result is
2.6667²x5+4
= 7.1113x5+4
= 35.5565+4
= 39.5565
which is a different answer.
Answer:
A) x = 2, x = 7
Step-by-step explanation:
x^2 + 14 = 9x
Subtract 9x from each side
x^2-9x + 14 = 9x-9x
x^2-9x + 14 = 0
What 2 numbers multiply to 14 and add to -9
-7*-2 = 14
-7+-2 = -9
(x-7)(x-2) = 0
Using the zero product property
x-7 = 0 x-2 =0
x=7 x=2
