How do you simplify 6 3/8 into its improper fraction simplest form?

What’s the answer 3y+5<10

photoshop1234 [79]

Answer:

y < 5/3

Step-by-step explanation:

3y + 5 < 10

Let's subtract 5.

3y < 5

Okay. We have something manageable. Let's divide by 3.

y < 5/3

That's our answer.

4 0

3 years ago

Find the 8th term of the geometric sequence whose common ratio is 2/3 and whose first term is 7

motikmotik

Answer:

The 8th term of the sequence is 896/2187.

Step-by-step explanation:

We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.

We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

$\displaystyle x_{n} = a\left(r\right)^{n-1}$

Where a is the initial term and r is the common ratio.

Substitute:

$\displaystyle x_{n} = 7\left(\frac{2}{3}\right)^{n-1}$

To find the 8th term, let n = 8. Substitute and evaluate:

$\displaystyle \begin{aligned} x_{8} &= 7\left(\frac{2}{3}\right)^{(8) - 1} \\ \\ &= 7\left(\frac{2}{3}\right)^{7} \\ \\ &= 7\left(\frac{128}{2187}\right) \\ \\ &= \frac{896}{2187} = 0.4096...\end{aligned}$

In conclusion, the 8th term of the sequence is 896/2187.

8 0

2 years ago

Patty paid $260.40 for a bike rack for her car, after tax, and the tax rate is 8.5%. What was the original price of the bike rac

Scorpion4ik [409]

Answer:

Step-by-step explanation:

2x - 9y = 23

5x - 3y = -12x - 9y = 23we]periyhw[euiorghweuirtg7wuio[ryg

5x - 3y = -12x - 9y = 23

5x - 3y = -1

5 0

3 years ago

Read 2 more answers

choose the equation below that represents the line passing through the point (−2, −3) with a slope of −6. y 3 = −6(x 2) y 2 = 6(

pishuonlain [190]

Line passing through point (-2, -3) with a slope of -6 is (y - (-3)) = -6(x - (-2)) => y + 3 = -6(x + 2)

7 0

2 years ago

Find the slope of the table below a.5,b.1,c.1/5, d.10

strojnjashka [21]

Answer:

Slope=2/10 or 0.2

Step-by-step explanation:

First, pick the numbers you want to use for slope. I will be using -10 as x1, 0 as x2, -1 and y1, and 1 for y2. The formula for slope is y2-y1/x2-x1.

Plug in these numbers: 1+1 (two negatives make a positive)/0+10(again, two negatives combine to make a positive)

This makes 2/10, which divided eaquals 0.2.

You can use either 2/10 or 0.2 as your answer, depending on what your teacher requires. Have a nice day and let me know if you have any questions!! :)

6 0

3 years ago