A bottle of medicine holds 0.25 litres.
The instructions on the bottle of medicine say: 'Take two 5 ml spoonfuls three times a day
How many days will a full bottle of medicine last?

Answer:

[tex]\huge\boxed{f(x)=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x}[/tex]

Step-by-step explanation:

[tex]f(x)=a(x+3)(x-0)(x-7)=ax(x+3)(x-7)\\\\=ax\bigg((x)(x)+(x)(-7)+(3)(x)+(3)(-7)\bigg)\\\\=ax(x^2-7x+3x-21)=ax(x^2-4x-21)\\\\=(ax)(x^2)+(ax)(-4x)+(ax)(-21)\\\\=ax^3-4ax^2-21ax\qquad(*)\\\\f(-8)=-5[/tex]

[tex]\text{substitute}\ x=-8\\\\f(-8)=(a)(-8)^3-(4a)(-8)^2-(21)(-8)a=-512a-(4a)(64)+168a\\\\=-512a-256a+168a=-600a\\\\f(-8)=-5\\\\\text{therefore}\\\\-600a=-5\qquad|\text{divide both sides by (-600)}\\\\a=\dfrac{-5}{-600}\\\\a=\dfrac{1}{120}[/tex]

[tex]\text{Substitute to}\ (*):\\\\f(x)=\dfrac{1}{120}x^3-4\cdot\dfrac{1}{120}x^2-21\cdot\dfrac{1}{120}x=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x[/tex]

Answer:

8×1=8+64=72

Step-by-step explanation:

there is your answer are you happy now

Answer:

Step-by-step explanation:

let x be the larger number

x + (4/5)x = 981

(9/5)x = 981

x = 981(5/9)

x = 545

(4/5)(545) = 436

Answer:

Pythagoras Theorem

Step-by-step explanation:

Answer:

so if I do b1+a1=c1 ok me done

Answer:

Step-by-step explanation:

U

Answer:

3

Step-by-step explanation:

[tex]x^4-y^4=(x^2)^2-(y^2)^2=(x^2-y^2)(x^2+y^2)\\24=8(x^2+y^2)\\x^2+y^2=\frac{24}{8}\\x^2+y^2=3[/tex]

Answer:

20 three-point scores

61/3=20 R1

Answer:

7

Step-by-step explanation:

61 divided by 8 = 7 remainder 5

you can do 7 3's and 7 5's which would make 7x3 = 21  +  7 x 5 = 35  21 + 35 = 56

61 - 56  = 5 (add 1 to the amount of 5's)

7 3's and 8 5's

Answer:

2/7=0.285714

Step-by-step explanation:

When Php 20.247 is rounded to the nearest hundredths, the value that will be gotten is Php. 20.25.

It should be noted that the 2 after the decimal is the tenth place, 4 is in the hundredth place and 7 is in the thousandth place.

Therefore, when Php 20.247 is rounded to the nearest hundredths, we'll add 1 to 4 since the thousandths place is above 5. Therefore, the new number is Php. 20.25.

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Answer:

18

Hope this helps :) Please mark this brainiest?

Step-by-step explanation:

18/6=3

54/3=18

Answer:

18 ounces

Step-by-step explanation:

I think this is right because if you take 18 and divide it by 3 it equals 6 so i divided 54 by 3 and got 18 ounces hope this helps

<3

Answer: equals Z

Step-by-step explanation:

simple you do y divided by mass energy

Answer:

C

Step-by-step explanation:

Answer:

D. 15 square units

Step-by-step explanation:

Explanation shown in the screenshots of the graph.

Answer:

The answer is 82.109 sec.

Step-by-step explanation:

Answer: 28 adults

Step-by-step explanation: 1 3/4 tons is 3500 pounds which I divided by 124 pounds which gave me the answer 28

Answer: A reflection, and then a translation.

Answer:

y= 8.5x - 10

Step-by-step explanation:

I think it is substracting because it's how much remains, if its wrong it could either be 10x - 8.5 or 8.5x + 10

Answer:

6

Step-by-step explanation:

5L - 0.5 = 4.5

Pam is putting 4.5L into bottles

4.5/0.75 = 6

0.75L = 1 bottle

x2

1.5L = 2 bottles

x3

4.5L = 6 bottles

The answer is D, 75°.

All the interior angles of a triangle add up to 180°. With this information, we can set up this equation:

(x + 5) + (3x) + (3x) = 180

Combine like terms.

(x + 5) + (3x) + (3x) = 180

7x + 5 = 180

-5 -5

7x = 175

/7 /7

x = 25

Now, since this is an isosceles triangle, we can easily substitute the value of x into 3x. 3 • 25 = 75 which is 75°.

Answer:

30 pages/min

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Please mark brainliest

hope it helps

Answer:

D

Step-by-step explanation:

I just know

Answer:

Step-by-step explanation:

Given:

Cross-multiply and solve for x:

9514 1404 393

Answer:

  $9.86

Step-by-step explanation:

The numbers in your problem statement are somewhat garbled. We understand the problem to be ...

Given:

  earnings: $11.60 per hour

  1/10 of earnings donated

  8 1/2 hours worked

Find:

  the amount donated

Solution:

The amount donated will be the product of the given numbers:

  ($11.60 /hour)×(8.5 hours)×(1/10) = $9.86

Kendra donated $9.86 to the charity last week.

Answer:

Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets.

Step-by-step explanation:

You can solve this question by coming up with equations for each friend and then substituting them into the equation M + J + A = 296

Jade sells 8 more tickets than Mia, so Jade's equation for how many tickets she sold is the amount of tickets that Mia sold + 8:

J = M + 8

Amelia sells twice as many tickets as Mia, so her equation is the amount of tickets Mia sold * 2:

A = 2 * M

Now we can substitute these equations into the overall one.

M + (M + 8) + (2M) = 296

Now we can combine like terms and solve for M.

2M + 8 + 2M = 296

4M + 8 = 296

4M = 288

M = 72

We now have the amount of tickets Mia sold, so we can insert this number into the equations for Amelia and Jade.

J = M + 8

J = 72 + 8

J = 80

A = M * 2

A = 72 * 2

A = 144

So Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets.

The solution is Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of tickets sold by Mia , Jade and Amelia be M , J and A respectively

Total number of tickets = 296

So , M + J + A = 296   be equation (1)

Now , Jade sells 8 more tickets then Mia

So , J = M + 8   be equation (2)

Subtracting 8 on both sides , we get

M = J - 8   equation (3)

Now , Amelia sells twice as many tickets as Mia

So , A = 2M   be equation (4)

Substituting the value of J and A in equation (1) , we get

M + ( M + 8 ) + 2 M = 296

4M + 8 = 296

Subtracting 8 from both sides , we get

4M = 288

Divide by 4 on both sides , we get

M = 72

The number of tickets sold by Mia = 72

Substituting the value of M in equation (2) and equation (4) , we get

J = M + 8

J = 80

The number of tickets sold by Jade = 80

A = 2M

A = 144

The number of tickets sold by Amelia = 144

Hence , The number of tickets sold by Mia is 72 tickets, Jade is 80 tickets, and Amelia is 144 tickets

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Answer:

yes because that are true

Answer:

D or answer choice 4

Step-by-step explanation:

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{"y" is inversely proportiional to }x^3}{y = \cfrac{k}{x^3}}\qquad \textit{we also know that} \begin{cases} y = 44\\ x = a \end{cases} \\\\\\ 44 = \cfrac{k}{a^3}\implies 44a^3=k~\hfill \boxed{y=\cfrac{44a^3}{x^3}} \\\\\\ \textit{when x = 2a, what is "y"?}\qquad y = \cfrac{44a^3}{(2a)^3}\implies y = \cfrac{44a^3}{8a^3}\implies \blacktriangleright y = \cfrac{11}{2} \blacktriangleleft[/tex]

Answer:

ask sombody else

Step-by-step explanation:

guess we dont