The problem can be translated into an equation that is something like 4/5 + 3/x = 1/2
we cannot have x equal to zero because the number can be infinite.
So the LCD here is 10x, so multiply both sides by that to get:
8x + 30 = 5x
Subtract 5x and 30 from both sides:
3x = -30
divide:
x = -10
The solution isn't zero so there is a solution.
It would be B. because if you put the numbers on a number line, you notice that -14 is further down than -3 since -3 is closer to 0, so -14 is less than -3
(b) is the answer.
Step-by-step explanation:
By the Pythagorean Theorem,
A² + B² = C²
Where:
A = Length of side 1
B = Length of side 2
C = Hypotenuse
This rule applies to all right-angled triangles.
The length of the hypotenuse of a right-angled triangle is always the largest value.
Therefore, we can test the answers with the equation above.
(a)
8² + 18² = 20²
64 + 324 = 400
388 ≠ 400
The rule of Pythagorean theorem doesn't work on a, so (a) is not a right-angled triangle.
(b)
12² + 35² = 37²
144 + 1225 = 1369
1369 = 1369
The rule of Pythagorean theorem works here, so (b) is a right-angled triangle.
Area of square= s^2
12.25=s^2
take the sqrt(12.25) = 3.5
Perimeter of square = 4s
P=4(3.5)
P= 14 m
Answer:
$12,958
Step-by-step explanation:
The total amount of the account, principal plus interest, is given by ...
A = P(1 +rt)
The given information tells us ...
12,122 = P(1 + .08×2) = 1.16P
Then the principal amount is ...
12,122/1.16 = 10,450
__
When that same amount is invested using a different rate and time period, it becomes ...
A = 10,450(1 + .09×(2 2/3)) = 10,450×1.24 = 12,958
It will amount to $12,958 in 2 years 8 months at 9%.
