Answer:
£84
Step-by-step explanation:
The given ratios are ...
A : N = 2 : 1
N : J = 3 : 1
Putting these together, we have ...
A : N : J = 6 : 3 : 1
There are a total of 6+3+1 = 10 ratio units, so each is worth £140/10 = £14.
Angad's share is 6×£14 = £84.
_____
<em>Check</em>
Nick gets £42, and June gets £14. Together, they share £84 +42 +14 = £140.
Answer:
The function is A = 10√r
Step-by-step explanation:
* Lets explain the meaning of direct variation
- The direct variation is a mathematical relationship between two
variables that can be expressed by an equation in which one
variable is equal to a constant times the other
- If Y is in direct variation with x (y ∝ x), then y = kx, where k is the
constant of variation
* Now lets solve the problem
# A is varies directly with the square root of r
- Change the statement above to a mathematical relation
∴ A ∝ √r
- Chang the relation to a function by using a constant k
∴ A = k√r
- To find the value of the constant of variation k substitute A and r
by the given values
∵ r = 16 when A = 40
∵ A = k√r
∴ 40 = k√16 ⇒ simplify the square root
∴ 40 = 4k ⇒ divide both sides by 4 to find the value of k
∴ 10 = k
- The value of the constant of variation is 10
∴ The function describing the relationship of A and r is A = 10√r
Answer:
Savings on electricity per year by brand B = 114.3 - 104.76 = $9.54
Step-by-step explanation:
Ms. Wang is shopping for a new refrigerator. Brand A costs $569 and uses 635 kilowatt-hours per year. Brand B costs $647 and uses 582 kilowatt-hours per year.
Let's assume he buys brand B, so he already has a loss over the price of the commodity that is , loss = 647 - 569 =$78
Cost of electricity = $0.18
Now in the case of electricity,
spending on Brand A = 635
0.18 = $114.3
spending on Brand B = 582 0.18 = $104.76
Savings on electricity per year by brand B = 114.3 - 104.76 = $9.54
X^2 - 6x + 5 = 0
(x - 5)(x - 1) = 0
x - 5 = 0; x =5
x - 1 = 0; x = 1
answer
x = 1, x =5
Answer:
1/7
Step-by-step explanation:
The list of numbers generated is; 0, 1, 2, 3, 4, 5, 6,
There are 7 possible outcomes and each outcome is equally likely. The probability or chance that each number will occur is given by;
number of times the number occurs / 7
In our case, each number occurs only once, so the chance will be;
1/7
