Answer:
Step-by-step explanation:
If you factor the first one you get 
The 6x times 5 gives 30x, added to 30x, the middle term so it works.
For the 2nd one you know the factoring has to be 
so its easy to multiply to get 48x as the middle term.
Answer :
6 : Margaret has 30 50-cent coins and 26 10-cent coins
let 'x' represent the number of 50-cent coins, then '56-x' represents the number of 10-cent coins
17.60 = 0.5x + 0.1(56-x)
solving for 'x' we have x=30
56-30 = 26
7 : Total money = $29.40
mich money = m dollar,
amy money = (3/4)m dollars,
Total = m + 3m/4 = 29.40,
4m+3m = 4*29.4,
7m = 117.6,
m = 117.6/7 = 16.8
Hence,
Michelle's money = $16.80
Amy money = $12.60
8 : (a) The amount of milk in a carton is normally distributed with a mean of 260 millilitres (mL) and a standard deviation of 8 mL. Every milk carton is labelled with the serving size as 250 mL. (i) What is the probability that a randomly selected carton has more than the labelled serving? [3 marks) (ii) Determine the amount of milk in a carton for which only 7.08% of cartons fall below this amount. [3 marks (iii) Find an interval around the mean y = 260mL such that 95% of all milk cartons fall within this interval. (5 marks)
9 : a=3, b=5
So b+2 = a+4 = 4a-b
b=a+2
3a=b+4
b=2a-1
Hence
2a-1=a+2
10 : original dimensions of rectangle, length = 18cm and width = 10cm
Let length and width = L and W.
from statement "A rectangle has perimeter 56 cm. If 4 cm is taken from the length and added to the width, the rectangle becomes a square", you can deduce
2L + 2W = 56 ( its sides make up its perimeter )
L - 4 = W + 4
L = W + 8
sub L = W + 8 into 2L + 2W = 56
2 ( W + 8 ) + 2W = 56
2W + 16 + 2W = 56
4W = 40
W = 10
sub W = 10 into L = W + 8
L = 10 + 8 = 18
Answer:
12 teeth
Step-by-step explanation:
<em>The attachment of this question is missing; however, the question can be solved without the attachment</em>
Given:
Larger Gear = 6
Smaller Gear = 1
Required
Number of Smaller Gear if there are 72 larger gears
When the number of larger gear is 6, smaller gears is 1;
<em>This can be represented using the following ratio;</em>
Let x represent the number of smaller gear, when there are 72 larger gears;
<em>This can also be represented using the following ratio;</em>
Equate both ratios
Convert the ratios to fraction
Multiply both sides by x
Divide both sides by 6.
<em>This implies that there are 12 teeth on the smaller gear</em>
Answer:
hry
Step-by-step explanation:
Answer: Yes. When you solve your equations, you're solutions will change a little bit. It's good because it'll give you the right answer.
I hope this helps you and I hope it's right. ☺
