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earnstyle [38]
3 years ago
13

What equation matches this situation.mai biked x miles han biked 2/3 more than that

Mathematics
1 answer:
Olin [163]3 years ago
3 0

Answer:

i need more information like how much mai biked

Step-by-step explanation:

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A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i
Assoli18 [71]

Step-by-step explanation:

Rate of growth equals 420/100 = 4.2 times per hour

So after t=three hours,

size of culture = 100*(4.2)^t = 100*4.2^3=7408.8 bacteria,

round to nearest unit 7409 bacteria after three hours (after initial size of 100).

8 0
3 years ago
Read 2 more answers
A chemistry teacher needs to mix a 20% salt solution with an 80% salt solution to make 20 qt of a 40% salt solution. How many qu
Svetlanka [38]

Answer:

  • 6 2/3 qt 80%
  • 13 1/3 qt 20%

Step-by-step explanation:

It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.

__

We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...

  0.80x +0.20(20-x) = 0.40(20)

  0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify

  x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution

  (20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed

The teacher should mix 6 2/3 quarts of 80% solution with 13 1/3 quarts of 20% solution.

3 0
2 years ago
Please help, i need to raise my grade
Dmitrij [34]

Answer:

r=\dfrac{v^2}{a}

Step-by-step explanation:

To isolate r, we're going to need to do some algebraic manipulation.

a=\dfrac{v^2}{r}

Multiply both sides by r:

a\cdot r=v^2

Divide both sides by a:

r=\dfrac{v^2}{a}

Hope this helps!

5 0
3 years ago
Coefficient of x^2 in the expansion of (x-3)^3
Mila [183]

Answer:

-9

Step-by-step explanation:

(x-3)(x-3)(x-3)

(x^2-6x+9)(x-3)

x^3-9x^2+27x-27

Therefore, the coefficient of x^2 is -9.

7 0
3 years ago
Read 2 more answers
Mrs. Nally's swimming pool is 10 feet by 6 feet. She paves the area around it with a sidewalk x feet wide, using 80 square feet
andrew11 [14]

Answer:

The sidewalk is 2 feet wide

Step-by-step explanation:

The area of the sidewalk is given as 80 square feet

The length and width of pool

including side walks will be;

10 + 2x and 6 + 2x

To get the area of the side walk

That will be area of total minus area of the pool

That will be ;

(10 + 2x)(6 + 2x) - 10(6) = 80

60 + 12x + 20x + 4x^2 - 60 = 80

4x^2 + 32x -80 = 0

x^2 + 8x -20

x^2 + 10x - 2x - 20 = 0

x(x + 10) -2(x + 10) = 0

(x-2)(x + 10) = 0

x = 2 or -10

since width cannot be negative;

The sidewalk is 2 feet wide

6 0
3 years ago
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