Answer:
see below
Step-by-step explanation:
Small bag
95p / 250 g * 12/12 to get to 3 kg = 1140 p / 3000g =11.40£s/ 3 kgs
Medium bag
1.8£ / 500 g * 6/6 to get to 3 kg = 10.8£ / 3000g =10.80£/ 3 kgs
Large bag
3.7£ / 3 kg *
With the given information, we can create several equations:
120 = 12x + 2y
150 = 10x + 10y
With x being the number of rose bushes, and y being the number of gardenias.
To find the values of the variables, we can use two methods: Substitution or Elimination
For this case, let us use elimination. To begin, let's be clear that we are going to be adding these equations together. Therefore, in order to get the value of one variable, we must cancel one of them out - it could be x or y, it doesn't matter which one you decide to cancel out. Let's cancel the x out:
We first need to multiply the equations by numbers that would cause the x's to cancel out - and this can be done as follows:
-10(120 = 12x + 2y)
12(150 = 10x + 10y) => Notice how one of these is negative
Multiply out:
-1200 = -120x - 20y
+ 1800 = 120x + 120y => Add these two equations together
---------------------------------
600 = 100y
Now we can solve for y:
y = 6
With this value of y known, we can then pick an equation from the beginning of the question, and plug y in to solve for x:
120 = 12x + 2y => 120 = 12x + 2(6)
Now we can solve for x:
120 = 12x + 12 => 108 = 12x
x = 9
So now we know that x = 9, and y = 6.
With rose bushes being x, we now know that the cost of 1 rose bush is $9.
With gardenias being y, we now know that the cost of 1 gardenia is $6.
Answer:
B. 
Step-by-step explanation:
The given quadratic trinomial is;
Comparing this to 
, we have a=5,b=17,c=6.
Two factors of 30 that add up to 17 is 15 and 2.
We split the middle term to obtain;
We factor by grouping;
Factor further
The correct answer is B.
Of means multiplication
So
And then simplify the numerator ad denominator
=
And simplify the numerator and denominator again
=
And we are finally left with the answer which is
Answer:
B, 140
Step-by-step explanation:
Alright so if you know to do volume this should be a breeze!
First off what you want to do is find the volume of the outside prism.
V=whl=4·5·8=160
160
Then find the smaller prisms volume.
V=whl=1·5·4=20
20
Minus the smaller from the bigger
160-20=140
The answers B!
