Step-by-step explanation:
I am not allowed to answer more than 3 questions. So I will do the first 3.
15a. i) (2/3) = 4/9
ii) (2/3) = 8/27
iii) (2/3) = 16/81
b. The product is small because you are finding the fraction of a fraction.
16. Compared to the factors, the product is less than each fraction. This is because, as stated above, you are trying to find a fraction (a part of the whole) of another fraction. When you multiply a whole number by a fraction, the whole number decreases. The same applies to a fraction.
17a. 0.4 × 0.3 = 0.12
b. 0.4 = 4/10 = 2/5
0.3 = 3/10
3/10 × 2/5 = 6/50
Part 1) we have that
volume smaller solid=512 cm³
volume larger solid=2197 cm³
we know that
volume larger solid=[scale factor]³*volume smaller solid
scale factor=∛[volume larger solid/volume smaller solid]
scale factor=∛[2197/512]-----> scale factor=1.625
Part 2)
the ratio of the surface areas is equal to [scale factor]²
1.625²-------> 2.64
Part 3)
surface area smaller solid=960 cm²
then
surface area larger solid=scale factor²*surface area smaller solid
surface area larger solid=[1.625]²*960-----> 2535 cm²
surface area larger solid is 2535 cm²
Answer: <u><em>Miles ran by Matt = 6 miles</em></u>
Step-by-step explanation: Miles ran by Stan = 4 7/10
i.e. 1 3/10 miles less than Matt.
∴ Miles ran by Matt = 4 7/10 + 1 3/10 = 60/10 = 6miles
∴<u><em> Miles ran by Matt = 6 miles</em></u>
<u><em /></u>
Make one side equal zero
minus 11 to both sides
x^2-6x-2=0
another quadratic equation
if you hahve
ax^2+bx+c=0
x=
1x^2-6x-2=0
a=1
b=-6
c=-2
x=
x=
x=
x=
x=
x=
or
aprox
x=6.31662 or -0.316625
<span>Hello,
For this 12x-3x+11>4x-(17-9x)let's rewrite it as:
12x-3x+11>4x-17+9x
Now combine like terms:
9x+11>13x-17
Subtract 9x and add 17 to get:
28>4x
Divide by 4:
7>x or rewritten as:
x<7
Make sense?</span>
