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3 years ago

12

chad has 22 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 460 cents, how many di

mes and how many quarters does he have?

1 answer:

Alenkinab [10]3 years ago

6 0

Answer: delete this plz

Step-by-step explanation:

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Two boxes contained 155 lb of flour. If you take 20 lb from the first and add it to the second, the first box will contain 12 19

gladu [14]

Answer:

First and second box had 80 and 75 lb flour originally.

Step-by-step explanation:

Let the two boxes contained x lb and y lb of the flour respectively.

Both the boxes contained 155 lb of flour in total.

So the first equation will be,

x + y = 155 --------(1)

If the 20 lb of the flour is taken out then amount of flour in first box = (x - 20) lb

and added to the second box then flour in second box = (y + 20) lb

After the mixing of flour statement says that "the first box will contain $\frac{12}{19}$ of the flour now in the second box."

For this statement equation will be

$(x-20)=\frac{12}{19}(y+20)$

19(x - 20) = 12(y + 20)

19x - 12y = 380 + 240

19x - 12y = 620 ------(2)

Equation (1) × 12 + equation (2)

12(x + y) + (19x - 12y) = 155×12 + 620

31x = 1860 + 620

31x = 2480

x = $\frac{2480}{31}$

x = 80 lb

from equation (1)

80 + y = 155

y = 155 - 80

y = 75 lb.

Therefore, first and second boxes had 80 lb and 75 lb of flour originally.

3 0

3 years ago

In a lab experiment, 1900 bacteria are placed in a petri dish. The conditions are such

GREYUIT [131]

Answer:

393 bacteria

Step-by-step explanation:

First find how much it would increase per hours :

1900 / 29 = 65.5172414

Then take this and multiply it by 6 to get :

393.103448

Round it to the nearest whole number to get:

393 bacteria

3 0

3 years ago

A triangle has a vertices at (2,3), (-1,-2) and (-3,1). what is the approximate perimeter of the triangle?

rjkz [21]

It is A Scalene triangle
A scalene triangle<span> is a </span>triangle<span> that has three unequal sides, such as those illustrated above. SEE ALSO: Acute </span>Triangle<span>, Equilateral </span>Triangle, IsoscelesTriangle<span>, Obtuse </span>Triangle<span>, </span>Triangle<span>. CITE THIS AS: Weisstein, Eric W. "</span>

6 0

3 years ago

Write an equation for a rational function with:

bagirrra123 [75]

Making a fraction is the easiest way to do this.

The x-intercepts give solutions to a problem that equals zero.
$0 = (x-5)(x+1)$
The vertical asymptotes are values x cannot be, in a fraction the denominator can not be zero.
$y = \frac{(x-5)(x+1)}{(x+4)(x-3)}$
Horizontal asymptotes are the values y approaches. This can be accomplished by making the leading term have a coefficient of 6
$y = \frac{6(x-5)(x+1)}{(x+4)(x-3)}$

5 0

3 years ago

Find the general indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.

Maru [420]

Answer:

$9\text{ln}|x|+2\sqrt{x}+x+C$

Step-by-step explanation:

We have been an integral $\int \frac{9+\sqrt{x}+x}{x}dx$ . We are asked to find the general solution for the given indefinite integral.

We can rewrite our given integral as:

$\int \frac{9}{x}+\frac{\sqrt{x}}{x}+\frac{x}{x}dx$

$\int \frac{9}{x}+\frac{1}{\sqrt{x}}+1dx$

Now, we will apply the sum rule of integrals as:

$\int \frac{9}{x}dx+\int \frac{1}{\sqrt{x}}dx+\int 1dx$

$9\int \frac{1}{x}dx+\int x^{-\frac{1}{2}}dx+\int 1dx$

Using common integral $\int \frac{1}{x}dx=\text{ln}|x|$ , we will get:

$9\text{ln}|x|+\int x^{-\frac{1}{2}}dx+\int 1dx$

Now, we will use power rule of integrals as:

$9\text{ln}|x|+\frac{x^{-\frac{1}{2}+1}}{-\frac{1}{2}+1}+\int 1dx$

$9\text{ln}|x|+\frac{x^{\frac{1}{2}}}{\frac{1}{2}}+\int 1dx$

$9\text{ln}|x|+2x^{\frac{1}{2}}+\int 1dx$

$9\text{ln}|x|+2\sqrt{x}+\int 1dx$

We know that integral of a constant is equal to constant times x, so integral of 1 would be x.

$9\text{ln}|x|+2\sqrt{x}+x+C$

Therefore, our required integral would be $9\text{ln}|x|+2\sqrt{x}+x+C$ .

4 0

3 years ago