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3 years ago

5/4 * 6/7 Multiply. Write your answer as a fraction in simplest form. Thank you btw

Mathematics

2 answers:

Andrej [43]3 years ago

8 0

Answer: 59/28

Step-by-step explanation: 59/28

Gnesinka [82]3 years ago

4 0

59/28 is the answer.

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What is a formula for the nth term of the given sequence?<br> 36, 24, 16...

SpyIntel [72]

Answer:

The formula to find the nth term of the given sequence is 54 · $\frac{2}{3} ^{n}$

Step-by-step explanation:

The formula for nth term of an geometric progression is :

$a_{n} = \frac{a_{1}(r^{n})}{r}$

In this example, we have $a_{1}$ = 36 (the first term in the sequence) and

r = $\frac{2}{3}$ (the rate in which the sequence is changing).

Knowing what the values for r and $a_{1}$ are, now we can solve.

$a_{n} = \frac{a_{1}(r^{n})}{r}$ = $\frac{36 (\frac{2}{3} ^{n}) }{\frac{2}{3} }$ = 54 · $\frac{2}{3} ^{n}$

Therefore, the formula to find the nth term of the given sequence is

54 · $\frac{2}{3} ^{n}$

3 0

3 years ago

When 5 times a number is added to 45 the answer is the sm of 85 and 140 what is the number

zimovet [89]

Hello.

First, let the number be r.

5 times r is written like this:

$\rm{5r}$

Now, add 45:

$\mathrm{5r+45}$

Now, the sum of 5r+45 is equal to the sum of 85 and 140:

$\mathrm{5r+45=85+140}$

In order to solve this equation, we need to add 85 and 140:

$\mathrm{5r+45=225}$

Now, subtract 45 from both sides:

$\mathrm{5r+45-45=225-45}$

$\mathrm{5r=225-45}$

$\mathrm{5r=180}$

The last step is to divide both sides by 5:

$\mathrm{r=36}$

Therefore, the answer is

$\rm{r=36}$

I hope it helps.

Have a nice day.

$\boxed{imperturbability}$

8 0

3 years ago

What is the solution to the system? 1. x-y + 2 z = -7<br> 2. y + z =1<br> 3. x-2 y - 3 z = 0

kvv77 [185]

You'd find this problem easier to understand and do if you'd please list the defining equations vertically and line up variables:

1. x - 1y + 2 z = -7

2. y + 1z = 1

3. x - 2 y - 3 z = 0 Now eliminate the line numbers:

x - 1y + 2 z = -7

1y + 1 z = 1

x - 2 y - 3 z = 0

Let's use the elimination method to eliminate variable z: Seeing that z = 1 - y, we transform the first equation into 1x - 1y + 2(1-y) = -7

and the third into x - 2y - 3(1-y) = 0.

Simplifying 1x - 1y + 2(1-y) = -7

and x - 2y - 3(1-y) = 0,

we get

1x - 2y - 3 + 3y) = 0 and 1x - 1y + 2 - 2y = -7

which in turn simplify to

1x + y = 3 and 1x - 3y = -9

Having eliminated the variable z, we now focus on eliminating x. Mult. the 1st equation by -1, obtaining -1x - 1y = -3. Add this result to 1x - 3y = -9:

0 - 4y = -12, which tells us that y = 3. Subbing 3 for y in 1x + 1y = 3 tells us that x = 0.

All we have left to determine is the vaue of z.

Borrowing Equation 3, from above, we get x - 2 y - 3 z = 0, and into this equation we substitute x = 0 and y = 3: 0 -2(3) - 3z = 0.

Thus, -3z = 6, and z = -2.

The solution set is (0, 3, -2). You should check this by substitution.

3 0

4 years ago

What is the range of y=log^2(x-6)

Marysya12 [62]

Answer:

$y\geq 0$ or $[0, \infty)$

Step-by-step explanation:

By definition the function

$y = log (x)$ has a domain of $x> 0$ .

Since the function is not defined for the values of x negative or equal to zero.

The range of this function is all the real numbers.

Since $y$ when $0$ and $y\geq0$ when $1\leq x$

In this case we have the function $y = log ^ 2 (x-6)$

Therefore since the log function is squared then its range is now $y\geq 0$

6 0

3 years ago

Read 2 more answers

Chase invested $83,000 in an account paying an interest rate of 6.3%

luda_lava [24]

Answer:145

Step-by-step explanation:1+3400÷64+2/4-65%

4 0

3 years ago

Read 2 more answers