Answer:
6 black pieces
10 red pieces
Step-by-step explanation:
The way to interpret ratios is like so:
Adding up both parts of the ratio gives 8, i.e. 3 + 5
So for every 8 pieces, 3 are black and 5 are red;
There are 16 pieces, which is 2 × 8;
So, there are (2 × 3) black pieces and (2 × 5) red pieces, i.e. 6 black and 10 red
So, to solve:
Add all parts of the ratio (3 + 5);
Divide the number of pieces (16) by this sum of ratio parts (8);
Multiply the value from the division (2) by each part of the ratio
Tip:
It is important to take note of the order in the ratio, so the ratio of black to red means the number that comes first in the ratio represents parts black and the one that comes second represents parts red;
If the wording was the ratio of red to black, the number that comes first would represent parts red and the second would represent parts black
Answer:
3 is the answer
1/3*9/1=9/3=3
Step-by-step explanation:
Divide the amount you need to invest by the percentage.
430/0.05 = 8,600
You earned $8,600
9514 1404 393
Answer:
4) 6x
5) 2x +3
Step-by-step explanation:
We can work both these problems at once by finding an applicable rule.
where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.
This can be referred to as the <em>power rule</em>.
Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:
lim[h→0](f(x+h)-f(x))/h = 2ax +b
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4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.
5. The gradient of x^2 +3x +1 is 2x +3.
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If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.
<span>7e^(×/3)=14
</span><span>e^(×/3)=14/7
</span>e^(×/3)=2
take ln of both sides;
lne^(×/3)=ln2
****You should be familiar that lne^x=x as ln is the inverse function of e and vice versa****
then;
x/3=ln2
x=3ln2
x approximately is equal to 2.1
