Enzo has fish in two aquariums. In one aquarium, the ratio of the number of guppies to the number of goldfish is 2:3. In the other, this ratio is 3:5. If Enzo has 20 guppies in total, the least number of goldfish that he could have is

A. 29

B. 30

c. 31

d. 32

a) The number of 12.2 mg chewable tablets would be taken in a week is 53.

b) The liquid antihistamine should a 100-pound person taken in a week is 528ml

An ordered pair of numbers a and b, denoted as a / b, is a ratio if b is not equal to 0. A proportion is an equation that equalizes two ratios.. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls.

Given that a typical dose for a 100-pound person is 23 mg every six hours.

100 pounds person - 23 mg - 6hrs

For  1 day it is 24 hrs

7 days-168hrs

Therefore,

a) For 6 hrs - 23 mg         

168 hrs- ?

X=(23×168)/6

 =644 mg

 For 1 tablet -12.2 mg

 =644/12.2

 = 52.786≈53 tablets

The number of 12.2 mg chewable tablets would be taken in a week is 53.

b) If 12.2 mg equals to 10 ml then

 644mg =(10/12.2)×644 ml

 =527.87 ml≈528ml

The liquid antihistamine should a 100-pound person taken in a week is 528ml

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Answer: 190

Step-by-step explanation:

first you add 29 + 29 and you get 58.  Next, you add 66 + 66 which is 132 then you add the 2 sums together and get 190.  :)

The inequality of the scenario is 10000 ≤ l² - 16l < 16000 and the length is 1672 feet

The statements from the question are given as:

Shape = Rectangular park

Minimum perimeter = 5000 square ft

Maximum perimeter = Less than 8000 square ft

Also, we have

Width = 8 less than half the length

This means that

w = 1/2l - 8

The perimeter of a rectangle is

perimeter = 2 * (l + w)

So, we have

P = lw

This gives

P = 2 * (l + 1/2l - 8)

P = 2 * (1.5l - 8)

Open the brackets

P = 3l - 16

Substitute the known values in the above equation So, we have the following equation

5000 ≤ 3l - 16 < 8000

The above represents the inequality

See attachment for the graph

From the graph, we have the solution to be

l = 1672 (approximately)

Recall that:

w = 1/2l - 8

So, we have

w = 1/2 * 1672 - 8

Evaluate

w = 828

Hence, the possible length is 1672 ft

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Answer: not a function

Step-by-step explanation: one input has more than one output and to be a function it must have one output for every input.

I hope it’s right, best of luck :)

Answer:

1.914 %

Step-by-step explanation:

Compounded quarterly means 4 periods per year  = n

   interest in decimal form per period    i = .019/4 = .00475

   Formula    

       annual yield =  ( 1+ i)^n  -1

                   (1+ .00475)^4  -1  = .01914  = ~ 1.914%

Area of the given figure is 27.852 in².

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

In the given figure there is a square.

First let us find the area of square, which has length of side 3 in

Area of square=3²=9

Now there are two semicircles with diameter 3 in.

Radius of semicircle = 3/2=1.5 in

Area of semicircle=2πr

=2×3.142×1.5

=9.426

As there are two semicircles

2×9.426

18.852

Area of figure is 9+18.852

27.852 in²

Hence, area of the given figure is 27.852 in².

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According to the given APR, the monthly interest charge is $47.46

APR

Basically, APR refers the refers to the yearly interest generated by a sum that's charged to borrowers or paid to investors.

Given,

Maxine's credit card has an APR of 21.99%.

Here we have to find the monthly interest charge if her current monthly balance, before interest, is $2,586.50.

While we looking into the given question, we have identified the following,

APR = 21.99%

For one month the APR is calculated as,

APR = 21.99 / 12

APR = 1.8325%

When we convert this into decimal form then we get,

=> APR = 1.8325/100

=> APR = 0.01835

And the current monthly balance is $2,586.50,

So, the interest change for the month is

=>2,586.50 x 0.01835

=> 47.46

Therefore, the monthly interest charge is $47.46.

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The magnitude of the second earthquake, using an logarithmic function, is of:

5.77.

The magnitude of an earthquake is given by the logarithmic rule presented as follows:

[tex]M = \frac{2}{3}\log{\left(\frac{E}{E_0}\right)}[/tex]

The first earthquake had a magnitude of 3.9, hence it's energy is obtained as follows:

[tex]3.9 = \frac{2}{3}\log{\left(\frac{E}{E_0}\right)}[/tex]

[tex]\log{\left(\frac{E}{E_0}\right)} = \frac{3.9 \times 3}{2}[/tex]

[tex]\log{\left(\frac{E}{E_0}\right)} = 5.85[/tex]

The logarithm and the base 10 are inverse functions, hence the base 10 is applied to both sides to isolate the energy variable as vollows:

[tex]\frac{E}{E_0} = 10^{5.85}[/tex]

[tex]E = 707945.784E_0[/tex]

For the second earthquake, it's energy was 650 times greater, hence:

[tex]E = 707945.784 \times 650E_0 = 460164760E_0[/tex]

Hence it's magnitude is obtained as follows:

[tex]M = \frac{2}{3}\log{\left(\frac{460164760E_0}{E_0}\right)}[/tex]

M = 5.77.

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By applying the distributive property of multiplication, this mathematical expression can be rewritten as -3(-4x + 5) = 12x - 15.

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.

Mathematically, the distributive property of multiplication can be represented by this mathematical expression:

a(b + c) = ab + ac.

By applying the distributive property of multiplication to the given mathematical expression, we have the following:

-3(-4x + 5) = -3(-4x) + [-3(5)]

-3(-4x + 5) = 12x - 15.

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Answer:

87 [tex]ft^{2}[/tex]

Step-by-step explanation:

11x9=99

99 ft is the area of the rectangle

Now we need the area of the triangle

4x6=24

24/2=12

12 ft is the area of the triangle so we subtract this from the area of the rectangle

99-12=87

Hopes this helps please mark brainliest

The number of calories in each serving is 125.14 calories.

The bad of popcorn has 438 calories. Also, it was stated that it can serve 3.5 people.

The number of calories for each serving will be the division of the calories given.

This will be:

Number of calories = Total calories / Number of people

= 438 / 3.5

= 125.14 calories

Each serving has 125.14 calories.

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The equation of the line that goes through the point (3, 1) and is perpendicular to the line 2x + 4y = 5 can be written in the form y = mx + b where m= 2 and b= -5.

According to the question,

We have the following information:

Points = (3,1)

Equation of the line: 2x+4y = 5

Now, converting this line into y = mx+b form:

4y = -2x+5

y = -2y/4+5/4

y = -y/2+5/4

Now, the slope of this line is -1/2.

Slope of the line perpendicular to this line will be 2 (-1/m).

Now, the equation of the line will be:

(y-y') = m(x-x')

x' = 3 and y' = 1

y-1 = 2(x-3)

y-1 = 2x-6

y = 2x-6+1

y = 2x-5

The value of m is 2 and b is -5.

Hence, the equation of the line that goes through the point (3, 1) and is perpendicular to the line 2x + 4y = 5 can be written in the form y = mx + b where m= 2 and b= -5.

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The probabilities are given as follows:

a) P(both marbles are red) = 0.167 = 16.7%.

b) P(red then green) = 0.111 = 11.1%.

c) P(green then blue) =  0.083 = 8.3%.

d) P(blue and red, any order) = 0.333 = 33.3%.

The probability of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.

In this problem, the are nine marbles, of which four are red, hence the probability of both red is:

p = 4/9 x 3/8 = 0.167 = 16.7%.

(the marble is not replaced, hence for the second marble there will be eight possible marbles, of which 3 are red).

For red then green, the probability is:

p = 4/9 x 2/8 = 0.111 = 11.1%.

For green then blue, the probability is:

p = 2/9 x 3/8 = 0.083 = 8.3%.

For blue or red, there are two possible outcomes, blue then red or red then blue, hence:

p = 3/9 x 4/8 + 4/9 x 3/8 = 0.333 = 33.3%.

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Answer:

36.147580645161

Step-by-step explanation:

Hope it helps you

Answer:

[tex]y=-2x-1[/tex]

Step-by-step explanation:

If two lines are parallel, they have the same slope. In this case, it is -2

Using point-slope form, with a slope of -2 going to through point P(0,-1)
We have:

y+1=-2x

y = -2x - 1

:]

Answer:

The answer to your question is,

7

Step-by-step explanation:

Answer:

y = -2/3 x + 8

Step-by-step explanation:

here is the answer in the image above

The previous population for the city is 23460.

Given that the population of a city has increased by 15% since it was last measured, the previous population will be:

= 1 - 15%

= 85%

Therefore, the previous population will be:

= Percentage × New population

= 85% × 27600

= 0.85 × 27600

= 23460

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Answer:

1

Step-by-step explanation:

Answer:17

Step-by-step explanation:

its just the order of operations aka PEMDAS If you want to know more about the order of operations just look it up. :)

The sales tax percent when Ava went shopping for a new pair of pants is 3%.

From the information, Ava went shopping for a new pair of pants the listed price of the pair of pants was $21 but the price with tax came out to $21.63.

The sales tax will be:

= $21.63 - $21

= $0.63

The percentage of sales tax will be:

= Sales tax / Original price × 100

= 0.63 / 21 × 100

= 3%

The sales tax is 3%.

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Answer:

f

Step-by-step explanation:f

The area of triangle XYZ in the given graph with points X(-6,-5), Z(-4,-2) and Y(-2,-6) is 4 units square.

If the triangle's three vertices are specified on the coordinate plane, the area of a triangle in coordinate geometry may be determined. In coordinate geometry, a triangle's area is the area or space it occupies in the 2-D coordinate plane. The formula for finding the area of a triangle with three coordinates [tex](x_1,y_1), (x_2,y_2),[/tex] and [tex](x_3,y_3)[/tex]  is as follows:

Area of triangle [tex]=\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]

Now, finding the area of trianlge with points X(-6,-5), Z(-4,-2) and Y(-2,-6).

Area of triangle [tex]=\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]

[tex]=\frac{1}{2}|-6(-2+5)-4(-6+5)+-2(-5+2)|\\=\frac{1}{2}\times|-18+4+6|\\ =4[/tex]

Therefore, the area of triangle XYZ in the given graph is 4 units square.

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as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

[tex]\stackrel{f(x)}{y}~~ = ~~\cfrac{1}{x+8}\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~\cfrac{1}{y+8}} \implies y+8=\cfrac{1}{x}\implies {\large \begin{array}{llll} \stackrel{f^{-1}(x)}{y}=\cfrac{1}{x}-8 \end{array}}[/tex]

1. The journal entries to record the transactions for Kohler Corporation are as follows:

January 2 Debit Treasury Stock $90,0000

Credit Paid-in capital in excess $30,000 Cash $120,000

January 5 Debit Dividend $88,000

Credit Dividend Payable $88,000

January 5 Debit Retained Earnings $88,000

Credit Dividend $88,000

February 28 Debit Dividend Payable $88,000

Credit Cash $88,000

July 6 Debit Cash $72,000

Credit Treasury Stock $45,000

Credit Paid-inn Capital in excess $27,000

August 22 Debit Cash $48,000

Credit Treasury Stock $45,000

Credit Paid-inn Capital in excess $3,000

September 5 Debit Dividend $100,000

Credit Dividend Payable $100,000

September 5 Debit Retained Earnings $100,000

Credit Dividend $100,000

October 28 Debit Dividend Payable $100,000

Credit Cash $100,000

December 31 Debit Income Summary $428,000

Credit Retained Earnings $428,000

2. The preparation of the statement of retained earnings for the current year ended December 31 is as follows:

Kohler Corporation

For the current year ended December 31

Beginning balance     $400,000

Dividends                       (88,000)

Dividends                     (100,000)

Income Summary          428,000

Ending balance          $640,000

The preparation of the stockholder's equity section of the balance sheet as of December 31 of the current year is as follows:

Kohler Corporation

As of December 31 of the current year

Common stock—$15 par value, 100,000 shares authorized

50,000 shares issued and outstanding                   $ 750,000

Paid-in capital in excess of par value, common stock 70,000

Retained earnings                                                        640,000

Total stockholders' equity                                       $1,460,000

January 2 Treasury Stock $90,0000 Paid-in capital in excess $30,000 Cash $120,000

January 5 Dividend $88,000 Dividend Payable $88,000 (50,000 - 6,000 x $2)

January 5 Retained Earnings $88,000 Dividend $88,000

February 28 Dividend Payable $88,000 Cash $88,000

July 6 Cash $72,000 Treasury Stock $45,000 Paid-inn Capital in excess $27,000 (3,000 x $24)

August 22 Cash $48,000 Treasury Stock $45,000 Paid-inn Capital in excess $3,000 (3,000 x $16)

September 5 Dividend $100,000 Dividend Payable $100,000 (50,000 x $2)

September 5 Retained Earnings $100,000 Dividend $100,000

October 28 Dividend Payable $100,000 Cash $100,000

December 31 Income Summary $428,000 Retained Earnings $428,000

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Step-by-step explanation:

your intercepts are:

y-intercept:

y = - 7/2x + 2

y = - 7/20 + 2

y = 2

( 0 , 2 )

x-intercept:

y = - 7/2x + 2

0 = - 7/2x + 2

-2 = - 7/2x

-7/2x = -2

2x = 2/7

x = 4/7

( 4/7 , 0 )

We have an odd degree polynomial wit a positive leading coefficient, then the end behavior is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

Here we have the function:

f(x) = -10 + 6x^5 + 4x^3

Notice that this is a polynomial of degree 5 (odd degree).

When we have a odd degree polynomial, we know that:

If the leading coefficient is positive, then the end behavior is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

If instead, the leading coefficient is negative, then:

as x → -∞, f(x) → ∞

as x → ∞, f(x) → -∞

For the case of:

f(x) = −10+6x^5+4x^3

The leading coefficient is 6, so it is positive, then the end behavior of our function is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

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Answer: function

Step-by-step explanation: for ever input the is one output, even though -10,5 showed up multiple times it had the same input and output. So it’s a function …if I remember correctly.

If the 5 is negative on just one, it’s not a function.

so sorry if it’s wrong, best of luck :)

Answer: 51 ft

Step-by-step explanation:

This is a Similar Triangles problem (geometry)

Draw 2 triangles with the sides correctly labeled.

Set up your ratios

170/6 = x/1.8

Solve for x

28.3 = x/1.8

x = 51 ft (length of shadow cast by the lighthouse)