Set both fraction to a common denominator
7/16 and 4/16
now add them together
7/16 + 4/16 = 11/16
now subtract that from a full cake
16/16 - 11/16 = 5/16
there are 5/16 of the cake left
Answer:
you would give back $7.87. But if you add the $40.50 instead you would give them $8.05
Step-by-step explanation:
Answer:
-7 and -8
Step-by-step explanation:
Generally with this kind of problem it is helpful to construct equations representing the words.
Let's let:
Lesser integer = X
Greater integer = Y
The integers are consecutive, meaning that they are only one integer (number) apart. So,
Y = X+1
From the problem, we know that
Y = 9 + 2X
Now, we can sub in the equation from above.
(X + 1) = 9 + 2X
We now solve for X:
1 - 9 = 2X - X
-8 = X
Y = -8 + 1
Y = -7
Answer:
a) 24 cm
Step-by-step explanation:
Tangents form a 90° angle with a radius.
using the Pythagorean theorem:
D² = 25² - 7²
D² = 625 - 49 = 576
D = 24
Step (1)
We know that the sum of all the terms in an infinite geometric sequence finding from following equation whenever |q| < 1 .
q = magnitude
So :
Remember it I'll use it again.
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Step (2)
We know that the sum of the n first terms of a geometric sequence finding from following equation.
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Sum of all terms starting from the third is 9.
So :
Sides minus 9
So :
Factoring t(1)
We have found t(1) = 81 ( 1 - q ) in step (1).
So :
Divided sides by 81
Subtract sides minus -1
Negatives simplifies
Radical sides
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Step (4)
If q = 1/3 :
So :
°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°
If q = - 1/3 :
So :
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And we're done.
Thanks for watching buddy good luck.
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