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katen-ka-za [31]
3 years ago
14

Find three mixed numbers so that the sum is 18 and the difference between the greatest number and least number is 5 1/5

Mathematics
1 answer:
Zigmanuir [339]3 years ago
7 0
Suppose y=0. That means 
<span>x+z = 18 </span>
<span>x-z = 26/5 </span>

<span>x = 58/5 </span>
<span>z = 32/5 </span>

<span>So, the largest x can be is 58/5 </span>
<span>Now, suppose we toss in y. If we subtract y/2 from both x and z, then the difference between x and z is still 26/5, and the sum is </span>

<span>(x-y/2) + y + (z-y/2) = x+z = 18 </span>

<span>For example, if y = 4, </span>

<span>x = 48/5 </span>
<span>y = 20/5 </span>
<span>z = 22/5 </span>

<span>x-z is still 26/5, and the sum is still 18. </span>
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Given that aₙ = (-2) (5)ⁿ⁻1 for a geometric sequence, determine the common ratio:
patriot [66]

Answer:

5

Step-by-step explanation:

The nth term of the geometric sequence is

a_n=(-2)(5)^{n-1}

In general the nth term of a geometric sequence is

a_n=a_1(r)^{n-1}

By comparism;

r=5 is the common ratio of the sequence.

Or

a_1=(-2)(5)^{1-1}=-2

a_2=(-2)(5)^{2-1}=-10

Common ratio is

r=\frac{-10}{-2}=5

4 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
polet [3.4K]
The two angles are the same value. To find, think of the equation 3<em>x</em>+50=6<em>x</em>-10. Put the 6<em>x</em> to the other side of the equation. You shall get -3x+50=-10. Move the 50 to the other side, and you'll end up with -3<em>x</em>=-60. Divide each number by -3 to find <em>x</em> now. Your final answer will be <em>x=20</em>.

Answer: <em>x=20</em>
8 0
3 years ago
The Quotient 250 divided by 5/8 tells about how far a sloth may move in one hour How far can a sloth go in 90 minutes?
Hunter-Best [27]

Given condition is:

A sloth moves in one hour = \frac{250}{5/8}

\frac{5}{8}=0.625

So, a sloth moves in one hour = \frac{250}{0.625}=400 units

Hence, in 60 minutes a sloth moves = 400

In 1 minute sloth will move = \frac{400}{60}

In 90 minutes it will  move = \frac{400}{60}\times90=600

The answer is 600 units.

4 0
3 years ago
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Valentin [98]
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3/4ths of his sister’s sales would be:

3/4x

3 less than 3/4ths of his sister’s sales would be:

3/4x - 3
3 0
2 years ago
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Svet_ta [14]
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and when the leading term coefficient is positive, the parabola opens upwards, with a minimum, check the picture below at the right-hand-side.

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