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3 years ago

Solve x/-4 - (-8) =12 16 80 -80 -16

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

7 0

Answer:

x = -16.

Step-by-step explanation:

x/-4 - (-8) = 12

x/-4 + 8 = 12

x/-4 = 12 - 8

x/-4 = 4

Cross multiply:

x = -4 * 4

x = -16.

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If Gina leaves now and drives at 66km/h she will reach Alton just in time for her appointment on the other hand if she has lunch

Stolb23 [73]

Answer:

165km

Step-by-step explanation:

If Gina leaves now and drives at 66km/h she will reach Alton just in time for her appointment

Now:

Distance=Speed X Time

D=66 X t=66t.....(I)

If she leaves in 40 minutes,and she must get there at the same time, her new drive time will be:

t hours - 40 minutes

=(t-40/60)hours=( t-2/3) hours

Her Distance this time

D=90(t-2/3)=90t-60.....(ii)

Since the distance to Alton does not change, we equate (I) and (ii)

66t=90t-60

60=90t-66t

60=24t

t=2.5 hours

From equation (I)

Distance=66t=66X2.5=165km

Distance to Alton is 165km.

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3 years ago

You'll find lots of clouds over _____________ climates and practically no clouds over ___________ climates.

SVETLANKA909090 [29]

Answer:

you'll find lots of clouds over tropical climates and practically no clouds over desert clmates.

7 0

3 years ago

The function gx) = x^2is transformed to obtain function hr.

Sav [38]

the graph will shift 3 units to the right

6 0

3 years ago

What is interest earned on 3500 invested at 6% compounded quarterly or 12 years

enyata [817]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$3500\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &12
\end{cases}
\\\\\\
A=3500\left(1+\frac{0.06}{4}\right)^{4\cdot 12}\implies A=3500(1.015)^{48}$

so, the interest earned then will be A - 3500.

6 0

3 years ago

The U.S. Department of Housing and Urban Development publishes data on the fair market monthly rent for existing one-bedroom hou

Aleksandr [31]

Answer:

$n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247$

So the answer for this case would be n=247 rounded up to the nearest integer

Step-by-step explanation:

We know that the standard deviation is :

$\sigma = 80$ represent the deviation

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution and the critical value would be $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247$

So the answer for this case would be n=247 rounded up to the nearest integer

8 0

3 years ago