Answer:
The answer is £4.16
Step-by-step explanation:
26 x 16 = 416 = £4.16
Answer:
A. It Increases
Step-by-step explanation:
Given the expression:
1+3f
When f=1, 1+3f=1+3(1)=1+3=4
When f=2, 1+3f=1+3(2)=1+6=7
When f=3, 1+3f=1+3(3)=1+9=10
We can see that the value of the given expression for each successive term increases and in fact form the sequence
4,7,10,...
Therefore, when f increases, 1+3f increases.
Answer:
$34
Step-by-step explanation:
I'd work backwards.
For the third book, she paid all her remaining money. The problem says she paid "1/2 her leftover money + $3". This means that: (let m = money used to buy book 3)
m = 1/2m + 3
1/2m = 3
m = 6
For the second book: (let n = money before book 2)
n - m (money left after book 2) = 1/2n + 2
1/2n +2 is money used up for book, which is the same as n-m.
n = 1/2n + 2 + m
1/2n = 2 + m = 2 + 6
1/2n =8
n = 16
For the first book, she spent 1/2 her money + 1. If o = money before book 1 (or the whole allowance):
o - n = 1/2o + 1
o = 1/2o + n + 1 = 1/2o + 16 + 1
1/2o = 17
o = 34
Check!
Spent 17 (half 34) + 1 on book 1
16 left
Spent 8 (half 16) +2 on book 2
6 left
Spent 3 (half 6) + 3 on book 3
0 left
Given the table below which lists the masses and volumes of several pieces of the same type of metal.<span>
From the table the ratio of the mass to the volume of the metal of mass 34.932 is 34.932 / 4.1 = 8.52
</span><span>the ratio of the mass to the volume of the metal of mass 47.712 is 47.712 / 5.6 = 8.52
</span><span>the ratio of the mass to the volume of the metal of mass 61.344 is 61.344 / 7.2 = 8.52
</span><span><span>the ratio of the mass to the volume of the metal of mass 99.684 is 99.684 / 11.7 = 8.52
</span>MASS (grams) VOLUME (cubic cm.)
34.932 4.1
47.712 5.6
61.344 7.2
99.684 11.7</span>
Since the ratio of the various masses to the volume of the metals is the same, so there is a relationship between the mass and the volume of the piece of metal.
If the volume of a piece of metal is 15.3 cubic cm, then the mass of the metal is given by 15.3 * 8.52 = 130.356 grams.
