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ratelena [41]
3 years ago
8

The sum of 9 times a number and 5 is 3.

Mathematics
1 answer:
poizon [28]3 years ago
3 0

Answer:

9x + 5 = 3

Step-by-step explanation:

Hope this helps.

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A pharmacist wants to mix a 30% saline solution with a 10% saline solution to get 200 mL of a 12% saline solution. How much of e
Bess [88]

Answer:

30% constituents=20 mL

10% constituents=180 mL

Step-by-step explanation:

x= 30% volume

y=10% volume

For our first equation, we know the total volume is 200 mL and is the sum

x+y=200

y=200-x (1)

For our second equation, we do a mass balance for 200 mL of final solution.

12% w/v = 0.12 g/mL

This means that in 1 mL of solution, we have 0.12 g of NaCl.

For any solution, concentration multiplied by volume will give the mass of NaCl:

Mass in x mL= C*V (g/mL) (mL)

So in 200 mL, we have

0.12*200 (g/mL) (mL)

=24g of NaCl

Cx*Vx + Cy*Vy=24

0.3x+0.1y=24 (2)

Substitute y=200-x into (2)

0.3x+0.1(200-x)=24

0.3x+20-0.1x=24

0.2x=24-20

0.2x=4

Divide both sides by 0.2

0.2x/0.2=4/0.2

x=20

Substitute x=20 into (1)

y=200-x

y=200-20

y=180

30% constituents=20 mL

10% constituents=180 mL

6 0
3 years ago
A sales analyst listed the probabilities of profits and losses in dollars for a certain company. Find the mean for the probabili
kakasveta [241]

Answer: The mean for the probability distribution will be 69.25.

Explanation:

Since we given that

At\ x_1= -500 ,P(x) = 0.076\\

At\ x_2= -250,P(x)= 0.191\\

At\ x_3=0, P(x)= 0.265\\

At\ x_4=250 , P(x)= 0.316\\

At\ x_5=500 , P(x)= 0.152\\

As we know the formula for expectation of x i.e. known as mean for the probability distribution,

E(x)=x\sum_{1}^{5} P(x)

So, we  apply this formula in our case,

-500\times 0.076+(-250)\times 0.191+0\times 0.265+250\times 0.316+500\times 0.512=69.25

\mu = 69.25

Hence, the mean for the probability distribution will be 69.25.



4 0
3 years ago
Read 2 more answers
Write in slope intercept form an equation of the line that passes through(-4,1), (4,3)
saul85 [17]

Answer:

Step-by-step explanation:

I know this is not your question but it may help

Question:Write an equation in Slope intercept form of the line that passes through the given  points (-3,4) (1,4)

2 Answers:

1: y=x+4

2:

answer would be “y=4”

to find the answer: first you have to find the slope with the given points. (y2 - y1 / x2 - x1)

plug it in to get: (4-4 / 1- -3) = 0/4 = 0

this means the slope would be 0

if the y intercepts are the same then it usually indicates that the slope would be 0 and that the answer is the y intercept.. but if you don’t understand how to get slope-intercept using other coordinates then here’s how:

you can use point-slope formula (y-y1 = m (x-x1) in order to do this just plug in one of the coordinates. in this case an example of point-slope form would be:

y-4 = 0 (x - -3) or y-4 = 0(x-1)

it doesn’t matter which coordinates you use..

then solve the point slope for slope-intercept.

y-4 = 0(x-3) multiply 0 with x and -3

y-4 = 0x move -4 to the right by adding 4

y = 0x + 4 or y = 4 would be your answer!

7 0
2 years ago
Which sequences are geometric? check all that apply
dlinn [17]
2,6,18,54 because they have a common ratio of 3
3 0
3 years ago
In an ellipse, the ratio of the distance between the foci and the length of the major axis is called:
Anni [7]

The ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity.

<h3>Definitions of dimensions in ellipses</h3>

Dimensionally speaking, an ellipse is characterized by three variables:

  1. Length of the <em>major</em> semiaxis (a).
  2. Length of the <em>minor</em> semiaxis (b).
  3. Distance between the foci and the center of the ellipse (c).

And there is the following relationship:

c = \sqrt{a^{2}-b^{2}} (1)

Another variable that measure how "similar" is an ellipse to a circle is the eccentricity (e), which is defined by the following formula:

e = \frac{c}{a}, 0 \ge c \ge 1 (2)

The greater the eccentricity, the more similar the ellipse to a circle.

Therefore, the ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity. \blacksquare

To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943

3 0
2 years ago
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