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3 years ago

Write. varible expression to describe the rule for the sequence 8,10,12,14 then find the 100th term

1 answer:

4 0

The first step would be to put in the fact that the sequence starts at 8

y = 8 + _x

The blank is going to include the difference between each number in the sequence; that is, how much it’s increasing by. To find it, get the difference between any two (consecutive!) terms.

10 - 8

12 - 10

14 - 12

All of these are equal to 2. Therefore, our gap is going to include “2”

y = 8 + 2x

To find the hundredth term, simply plug in 99 for x (the reason being that plugging in 0 for x gives us 8, but this is considered the first term. Therefore, x - 1 is the actual term)

y = 8 + 2(99)

y = 8 + 198

y = 206

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Answer this question please!

Sidana [21]

Plug 7/50 into your calculator to get 0.14. The answer is C.

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4 years ago

Read 2 more answers

Travis has decided to budget his spending money. He can spend no more than $ 143.15 every month. He has also decided to spend 5.

dalvyx [7]

Answer:m<$23.09

Step-by-step explanation: This question is tricky as there are unexplained variables.

Travis plans spending $143.15 every month but only two expenses were given to us, so other possible expenses may or may not be expended in this particular month.

That’s why we must include an inequality here.

Okay, back to the question.

Travis plans spending 5.2 times movie money on video games, my kinda dude.lol

Hence, 5.2m=v

m=movie budget

v=video games budget

But m+v<=143.15, the total proposed budget. Let’s replace v with 5.2m,

We have,

m+5.2m<=143.15

6.2m<=143.15

m<=23.0887

(We’ll have to approximate to the nearest cent)

m<$23.09

4 0

3 years ago

Which expression is 8y-5x+13y equivalent to after being simplified?

Inga [223]

The answer is a because you add the same variables and 5x stays the same

3 0

3 years ago

the area of a rectangle is 30 to the square root of 3750 square inches, and the length is 3 to the square root of 250 inches. wh

uranmaximum [27]

<h3>Answer:</h3>

$\sf { width =10 \sqrt{15} \:inches}$

<h3>Solution:</h3>

We are given that:

Area of rectangle is 30√3570
Length of the rectangle is 3√250

Area of rectangle is given by:

$\implies\quad{\pmb{ \sf{Area = length\times width}} }$

Hence, putting the values in the formula:

$\implies\quad \sf{ A = l\times w}$

$\implies\quad \sf{ 30\sqrt{3750}=3\sqrt{250}\times w}$

$\implies\quad \sf{3\sqrt{250}\times w = 30\sqrt{3750} }$

$\implies\quad \sf{ w =\dfrac{30\sqrt{3750}}{3\sqrt{250}}}$

$\implies\quad \sf{ w =10\dfrac{\sqrt{3750}}{\sqrt{250}}}$

$\implies\quad \sf{ w = 10\times\sqrt{\dfrac{3750}{250}}}$

$\implies\quad \underline{\underline{\pmb{\sf{ w =10\sqrt{15}}}}}$

8 0

3 years ago

The GCD(a, b) = 6, the LCM(a, b)=180. Find the least possible value of a+b.

Fantom [35]

The factors of 180 are
(1, 180), (2, 90), (3, 60), (4, 45), (5, 36), (6, 30), (9, 20), (10, 18), (12, 15).

The GCD of 6 is the largest positive integer that divides 180.
Therefore the required factors of 180 are a=6 and b=30 or vice versa.
a + b = 6 +30 = 36

Answer: 36

3 0

3 years ago