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kari74 [83]
2 years ago
14

Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18. The

system that represents Mira's numbers is below. x – y = 4 One-halfx + One-halfy = 18 Which two numbers did Mira pick?
Mathematics
2 answers:
kobusy [5.1K]2 years ago
6 0

Answer:

20 and 16

Step-by-step explanation:

Let us find x and y.

x – y = 4 _____(1)

x/2 + y/2= 18___(2)

Multiply (2) by 2 and add to (1)

  x - y = 4

+<u>(x + y = 36)</u>

 <u>2x   =   40</u>

=> x = 40 / 2 = 20

From (1):

20 - y = 4

=> y = 20 - 4 = 16

The two numbers are 20 and 16.

ad-work [718]2 years ago
3 0

Answer:

20 and 16

Step-by-step explanation:

it's C on edg

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Suppose that the concentration of a bacteria sample is 100000 bacteria per milliliter. If the concentration doubles every 2 hour
Aliun [14]

Answer:

3.85 hours

Step-by-step explanation:

We have that the model equation in this case would be of the following type, being "and" the concentration of bacteria:

y = a * e ^ (b * t)

where a and b are constants and t is time.

We know that when the time is 0, we know that there are 100,000 bacteria, therefore:

100000 = a * e ^ (b * 0)

100000 = a * 1

a = 100000

they tell us that when the time is 2 hours, the amount doubles, that is:

200000 = a * e ^ (b * 2)

already knowing that a equals 100,000

e ^ (b * 2) = 2

b * 2 = ln 2

b = (ln 2) / 2

b = 0.3465

Having the value of the constants, we will calculate the value of the time when there are 380000, that is:

380000 = 100000 * (e ^ 0.3465 * t)

3.8 = e ^ 0.3465 * t

ln 3.8 = 0.3465 * t

t = 1.335 / 0.3465

t = 3.85

That is to say that in order to reach this concentration 3.85 hours must pass

4 0
1 year ago
A formula calls for 0.6 mL of a coloring solution. Using a 10-mL graduate calibrated from 2 to 10 mL in 1-mL units, how could yo
MrMuchimi

Answer:

let us add 2.4 mL of water in 0.6 ml of coloring solution

total volume of solution = 2.4 + 0.6 = 3 mL

therefore,

0.6 mL of coloring solution now includes = 2.4ml of water

or

1 mL of coloring solution includes = 4mL of water

Hence

measure 3 mL of coloring solution with water that is formed

therefore, this 3 mL will contain 0.6 mL of coloring solution

Step-by-step explanation:

Given:

formula calls for 0.6 mL of a coloring solution

10-mL graduate calibrated from 2 to 10 mL in 1-mL units

Now,

We want to use an aliquot technique to measure 0.6 ml of coloring solution.

Because the calibrated graduate is used to measure 2ml to 10ml with 1ml as unit measure

let us add 2.4 mL of water in 0.6 ml of coloring solution

total volume of solution = 2.4 + 0.6 = 3 mL

therefore,

0.6 mL of coloring solution now includes = 2.4ml of water

or

1 mL of coloring solution includes = 4mL of water

Hence

measure 3 mL of coloring solution with water that is formed

therefore, this 3 mL will contain 0.6 mL of coloring solution

3 0
1 year ago
Which system of equations can be used to find the roots of the equation 4 x Superscript 5 Baseline minus 12 x Superscript 4 Base
ehidna [41]

Answer:

D. on Edg 2020

Step-by-step explanation:

You are welcome, I helped better than that other guy!!!

3 0
2 years ago
If 36 is is the dividend and 4 is the divisor then what is the quotient
max2010maxim [7]
Given:
36 is the dividend
4 is the divisor
Since, 4 is the divisor, you are going to want to see how many times 4 can fit into 36 evenly:
4*1=4, 4*2=8, 4*3=12, 4*4=16, 4*5=20, 4*6=24, 4*7=28, 4*9= 36
As you can see above, 4 goes into 36, 9 times evenly:
36/4 = 9
Quotient: 9

I hope this helps!
4 0
2 years ago
Read 2 more answers
A convex lens has a diameter of 30 mm and a depth of 5 mm at the center. How far from the vertex is the focus?
natima [27]
The formula for determining the distance of the focus from the vertex is as follows,

     f = x² / 4a

where f is focus, x is the radius (half the value of diameter), and a is the depth. Substituting the known values to the given equation,

   f = (30/2 mm)² / (4)(5 mm)

    f = 11.25 mm

<em>ANSWER: 11.25 mm</em>
8 0
2 years ago
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