Seven times a number is the same as 12 more than 3 times the number

What is the solution of x+8/5x-1>0?

DerKrebs [107]

Answer:

x<-8 or x>1/5

Step-by-step explanation:

$\frac{x+8}{5x-1} >0$

First we replace > symbol by = sign

$\frac{x+8}{5x-1} =0$

To solve for x we multiply 5x-1 on both sides

x+8 =0

x=-8

5x-1=0 solve for x

x= 1/5

WE got two values x=-8 and x= 1/5

Now we make a number line and check with each interval

x<-8, -8<x<1/5, x>1/5

Pick x= -9 and check with the given inequality

$\frac{-9+8}{5(-9)-1} >0$

1/46 >0 is true, so x<-8 satisfies our inequality

Pick x= 0 and check with the given inequality

$\frac{0+8}{5(0)-1} >0$

-8 >0 is false , -8<x<1/5 does not satifies our inequality

Pick x= 2 and check with the given inequality

$\frac{2+8}{5(2)-1} >0$

10/9>0 is true , x>1/5 satisfies our inequality

3 0

3 years ago

Read 2 more answers

Order the following values from least to greatest.

maks197457 [2]

Answer:

-6 1/2

-1

0

9

these are in order from least to greatest

3 0

3 years ago

Read 2 more answers

A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Portland. The stu

iVinArrow [24]

Answer:

$-0.061 < P_1 -P_2< 0.025$

Step-by-step explanation:

Give data:

$n_1 = 350$

$n_2 =250$

$x_1 = 23$

$x_2 = 21$

$\hat{P} 1 = \frac{x_1}{n_1} = \frac{23}{350} = 0.066$

$\hat{P} 2 = \frac{x_2}{n_2} = \frac{21}{250} = 0.084$

for 95% confidence interval

$\alpha = 1 - 0.95 = 0.05 and \alpha/2 = 0.025$

$z_{\alpha/2} = 1.96$ from standard z- table

confidence interval for P_1 and P_2 is

$\hat{P} 1 - \hat{P} 2 \pm z_{\alpja/2} \sqrt{\frac{\hat{P} 1(1-\hat{P} 1)}{n_1} +\frac{\hat{P} 2(1-\hat{P} 2)}{n_2}}$

$(0.066 - 0.084) \pm 1.96 \sqrt{\frac{0.066(1-0.066)}{350} +\frac{0.084(1-0.084)}{250}}$

$-0.018 \pm 0.043$

confidence interval is

$-0.018 - 0.043 < P_1 -P_2$

$-0.061 < P_1 -P_2< 0.025$

7 0

3 years ago

Explain how the value of the 7 in 327,902 will change if you move it to the tens place

-BARSIC- [3]

The tens place will be where the zero is which the value would be 70 since the 7 is in the thousand place the value is 7,000

7 0

3 years ago

The formula used to calculate the value of a savings accounty =(1+)120What does theafter t years is A(t)=0.04= 1500 1+120.04frac

yulyashka [42]

We have here the formula for Compound Interest:

$A=P(1+\frac{r}{n})^{nt}$

Where:

• A is the accrued amount.

,

• P is the Principal (the original amount of money, the starting amount of money).

,

• r is the interest rate.

,

• n is the number of times per year compounded.

,

• t is the time in years.

When we have that n is equal to 12, we are talking here about that the amount of money is being compounded monthly (we have 12 months in a year, 12 periods, n = 12). <em>Therefore, we are dividing the rate, r, by the number of compoundings per year, n, and this is the rate per each new compounding period of time, r/n, and, in this case, n = 12 (monthly interest rate). </em>

Therefore, in few words, the fraction (0.04/12) is the monthly interest rate (option C).

[If we see the other options, we have:

• The daily interest rate would be given by 0.04/365.

,

• How long the money has been in the account is time, t.

,

• The starting balance in the account is the Principal, P. ]

7 0

2 years ago