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masya89 [10]
3 years ago
12

Are the ratios 6:5 and 5:6 equivalent

Mathematics
1 answer:
V125BC [204]3 years ago
8 0
I don’t believe so but 10/12 is equivalent to 5/6 but not 6/5 ‍♀️
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The recursive rule for a sequence is an=an-1+7, where a1=15.What is the explict rule for this sequence
posledela

well, the recursive rule of aₙ = aₙ₊₁ + 7, where a₁ = 15, is simply saying that

we start of at 15, and the next term is obtained by simply adding 7, and so on.

well, that's the recursive rule.

so then let's use that common difference and first term for the explicit rule.

\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=15\\ d=7 \end{cases} \\\\\\ a_n=15+(n-1)7\implies a_n=15+7n-7\implies a_n=7n+8

5 0
3 years ago
Divide 9x^2 by 3x help please
KiRa [710]
Factor the numerator and denominator and cancel the common factors.
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6 0
3 years ago
A French restaurant used 848,540 ounces of cream last year. This year, due to a menu update, it used 40% less. How much cream di
Vsevolod [243]

Answer:

339416

Step-by-step explanation:

848,540 * 40/100 = 339416

4 0
3 years ago
A computer moniter is solid by the diagonal length of the screen a computer monitor has a 15 inch screen the screen has a width
n200080 [17]
For this problem, you would use the Pythagorean Theorem (a^2 + b^2 = c^2)

A and B are the length and width of the triangle. The triangle is created by the diagonal line splitting the computer screen. C is the hypotenuse, which is the diagonal line, and will always be the longest side of the triangle. 

When we plug in the numbers into the formula, we would get this:

13^2 + b^2 = 15^2

B is the unknown variable in which we are trying to find.
First, you square 13 and 15:

169 + b^2 = 225

Then, subtract 169 from both sides:

b^2 = 56

Finally, find the square root of both sides:

b = 7.483314774

Simplify to the nearest tenth, and the answer is 7.5<span />
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Help?...<br> 1/3(-3) + 13
ra1l [238]

Answer: 12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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