Answer:
Interest: £23.4
Amount: £101.4
Step-by-step explanation:
6 × 5/100 × 78 = 23.4
Balance: 78 + 23.4 = 101.4
Answer:
Shortest side = 39 cm.
Median side = 65 cm.
Longest side = 91 cm.
Step-by-step explanation:
The perimeter in total is 195 cm. The ratio of the sides are 3 : 5 : 7.
First, find how much parts there are as a whole, by combining the ratios:
3 + 5 + 7 = 15 parts.
Divide the total of parts from the total measurement:
195/15 = 13
Each part has the measurement of 13 cm.
1 part = 13 cm.
Use the following ratio to solve for each of the sides:
Shortest side: 3
3 x 13 = 39
Shortest side = 39 cm.
Median side: 5
5 x 13 = 65
Median side = 65 cm.
Longest side: 7
7 x 13 = 91
Longest side = 91 cm.
Check. Combine all side measurements together. They should equal 195:
39 + 65 + 91 = 195
(39 + 65) + 91 = 195
(104) + 91 = 195
195 = 195 (True).
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Answer:
Brand X has to mix 8.4 oz of brand A mixed nuts which contain 35% peanuts and 12.6 oz of brand B mixed nuts which contain 25%, to obtain 21 oz. Bags of mixed nuts that contain 29% peanuts.
Step-by-step explanation:
Hi
We define
, wich means Brand A has 1 oz containing 35% peanuts.
, wich means Brand b has 1 oz containing 25% peanuts.
So we can build an equiation system
(1) 
(2)
, after fixing it a little
(2)
As we can use any method to solve the system, I used a calculator wich thrown the following results 
and 
.
Answer:
x=S+bc/b+c
x=S−2ab/2(a+b)
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=S+bcb+c
Isolate the variable by dividing each side by factors that don't contain the variable.
x=S−2ab2(a+b)
