A single rose sells for 50 cents, so buying two will cost $1 (50 cents multiplied by 2).
With 2 roses per dollar, spending $20 allows for the purchase of 40 roses.
They make $6 profit on $20 sales, which means they spend $14 on the 40 roses ($20 minus $6).
Dividing $14 by 40 roses gives a cost of $0.35 per rose.
Therefore, the vendor pays 35 cents for each rose.
Dolls = d
trains = t
8d + 10t = 150
I believe we can express it like that.
Answer: OPTION C.
Step-by-step explanation:
It is essential to consider the following:
Dilation:
- A transformation where the image retains the same shape as the original but differs in size.
- Dilation maintains the order of points.
- Measurements of angles remain unchanged.
Translation:
- A transformation that keeps the image identical in size and shape to the original.
- Translation preserves the ordering of points.
- The angle measurements do not change.
Consequently, since Square T underwent translation followed by dilation to form Square T'', we conclude that the rationale explaining why they are similar is:
Translations and dilations maintain the order of points; thereby, the corresponding sides of squares T and T″ are proportional.
Answer: The cube root of 10 is 2.1544, using an initial value of -0.003723.
Step-by-step explanation: The Newton-Raphson method is utilized for root finding, and its formula is NR: X=Xo-(f(x)/f'(x)). Before applying this formula, the derivative of the equation must be determined. Given that X =10, this method was implemented to identify the best root to ascertain the cube root of 10 to 5 significant figures. Utilizing software like Excel for quicker iteration calculations is advisable. The found root in this instance was -0.003723.
100 plus 70 equals 170
170 divided by 10 equals 17
That makes 17 trains of 10 cubes