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2 years ago

Five times a number is divided by 7 more than the number. If the result is 2, then what was the original number?

Mathematics

2 answers:

oksian1 [2.3K]2 years ago

5 0

Answer:

14/3

Step-by-step explanation:

(5n)/(7+n) = 2

Multiply both sides by 7 + n:

(7 + n) x (5n)/(7 + n) = (7 + n) x 2

5n = 14 + 2n

3n = 14

Divide both sides by 3:

(3n)/3 = 14/3

n = 14/3

RoseWind [281]2 years ago

4 0

Answer:

-1

Step-by-step explanation:

the equation would be 5x+7=2.

so first you'll subtract from both sides so you'll do 2 from 7, whcih equals -5. then you'll divide 5 from each side. 5x÷5=x. -5÷5=-1. so the answer would be -1

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Can somebody solve this advanced algebra problem ?

ELEN [110]

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just use pemdas

7 0

2 years ago

The Statistical Abstract of the United States published by the U.S. Census Bureau reports that the average annual consumption of

Karo-lina-s [1.5K]

Answer:

a) $P(\bar X$

b) $P(98$

c) $P(\bar X$

d) $P(93$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(99.9,30)$

Where $\mu=99.9$ and $\sigma=30$

We select a random sample of n=36. And from the central limit theorem we know that the distribution for the sample is given by:

$\bar X \sim N(\mu =99.9 , \frac{\sigma}{\sqrt{n}}= \frac{30}{\sqrt{38}}=4.87)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

If we apply this formula to our probability we got this:

$P(\bar X$

$=P(Z$

Part b

For this case we want this probability:

$P(98$

$=P(\frac{98-99.9}{\frac{30}{\sqrt{38}}}$

And we can find this probability on this way:

$P(-0.39$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-0.39$

Part c

If we apply this formula to our probability we got this:

$P(\bar X$

Part d

For this case we want this probability:

$P(93$

$=P(\frac{93-99.9}{\frac{30}{\sqrt{38}}}$

And we can find this probability on this way:

$P(-1.42$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-1.42$

3 0

3 years ago

Plz Answer this question fast, Thank You

AysviL [449]

Answer:

162

Step-by-step explanation:

20736 x 729 x 4/216 x 64 x27

Now go ahead and do the cancellations

20736/216 =96

729/27 =27

64/4 =16

so you end up getting 96 x 27 x1 /26

96/16 =6

so you get 27 x 6 =162

4 0

3 years ago

Read 2 more answers

Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 3. Check your answer by noting that the curve is

Reptile [31]

Answer:

$4\sqrt{17}$

Step-by-step explanation:

Let's find the answer by using the arc length formula which is:

$\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^{2} } } \, dx$

First, let's find dy/dx which is:

y=4x-5

y'=4*(1)-0

y'=4, now let's use the formula:

$\int\limits^3_{-1} {\sqrt{1+4^{2}} } \, dx=\sqrt{17} *(3-(-1))=4\sqrt{17}$

Now, using the distance formula we have:

$d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }$

$y(-1)=4*(-1)-5=-9 \\y(3)=4*(3)-5=7$

So we have two points (-1, -9) and (3, 7) so:

$d=\sqrt{(3-(-1))^{2} +(7-(-9))^{2} }=4\sqrt{17}$

Notice both equations gave the same length $4\sqrt{17}$ .

5 0

3 years ago

AB = x + 15 DC = 4x AD = x + 10 BC = ? Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show

dexar [7]

Answer:

$BC=15\ units$

Step-by-step explanation:

we know that

In a parallelogram opposite sides are congruent

In this problem

we have that

AB and DC are opposite sides

AD and BC are opposite sides

AB=DC

AD=BC

step 1

Find the value of x

AB=DC

substitute the given values

$x+15=4x$

solve for x

$4x-x=15$

$3x=15$

$x=5\ units$

step 2

Find the length of AD

we have that

$AD=x+10$

substitute the value of x

$AD=5+10=15\ units$

step 3

Find the length of BC

Remember that

AD=BC ----> by opposite sides

therefore

$BC=15\ units$

6 0

3 years ago