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3 years ago

Mrs.jacobson wants to order toy instruments to give as prizes to her class. the table shows the prices for various order sizes.

Mathematics

1 answer:

anzhelika [568]3 years ago

5 0

First let as solve all unit pirce
whistles 21.25 / 25 = $ 0.85 per unit
36 / 50 = $ 0.72 per unit
60 / 80 = $ 0.75 per unit
kazoos
10 / 25 = $ 0.4 per unit
18.50 / 50 = $ 0.37 per unit
27.20 / 80 = $ 0.34 per unit
a.) $ 0.85 - $ 0.72 = $ 0.13
b.) 10 / 25 = $ 0.4 per unit
c.) he must order 80 kazoos she should order

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If represents the number of bacteria in a culture at time t, how many will there be at time

Crazy boy [7]

Answer:

Population of bacteria at time $t = 6$ is $2441$

Step-by-step explanation:

The complete question is

If $y = 10 (2.5)^t$ represents the number of bacteria in a culture at time t, how many will there be at time $t = 6$

Solution

Given

The population of bacteria after time t is equal to $y = 10 (2.5)^t$

Population when at time $t = 6$

We will substitute the value of time in above equation.

$y = 10 (2.5)^6\\y = 10 *244.14\\y = 2441.4 = 2441$

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3 years ago

The profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the

Vitek1552 [10]

Answer: $4$ pairs

Step-by-step explanation:

Given

Profit on selling 'x' pairs of shoes is $P(x)=-4x^2+32x-39$

Find the derivative of the function to find out the critical points

$\Rightarrow -8x+32=0\\\Rightarrow x=4$

Thus, for 4 pair of shoes profit is maximize.

5 0

3 years ago

Between 0 degrees Celsius and 30 degrees Celsius, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is giv

Ira Lisetskai [31]

Answer:

T = 3.967 C

Step-by-step explanation:

Density = mass / volume

Use the mass = 1kg and volume as the equation given V, we will come up with the following equation

D = 1 / 999.87−0.06426T+0.0085043T^2−0.0000679T^3

= (999.87−0.06426T+0.0085043T^2−0.0000679T^3)^-1

Find the first derivative of D with respect to temperature T

dD/dT = $\dfrac{70000000\left(291T^2-24298T+91800\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^2}$

Let dD/dT = 0 to find the critical value we will get

$\dfrac{70000000\left(291T^2-24298T+91800\right)}$ = 0

Using formula of quadratic, we get the roots:

T = 79.53 and T = 3.967

Since the temperature is only between 0 and 30, pick T = 3.967

Find 2nd derivative to check whether the equation will have maximum value:

$-\dfrac{140000000\left(395178T^4-65993368T^3+3286558821T^2+2886200857800T-121415215620000\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^3}$

Substituting the value with T=3.967,

d2D/dT2 = -1.54 x 10^(-8) a negative value. Hence It is a maximum value

Substitute T =3.967 into equation V, we get V = 0.001 i.e. the volume when the the density is the highest is at 0.001 m3 with density of

D = 1/0.001 = 1000 kg/m3

Therefore T = 3.967 C

3 0

3 years ago

Una máquina demora 2 minutos y 30 segundos en fabricar una silla. Si en un día la máquina funciona sin parar 8 horas ¿Cuántas si

vaieri [72.5K]

Una máquina demora 2 minutos y 30 segundos en fabricar una silla. Si en un día la máquina funciona sin parar 8 horas ¿Cuántas sillas fabricará?

5 x 12
24 x 8
192

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3 years ago

Use the elimination method to solve the system of equations

Lady bird [3.3K]

Answer:

Step-by-step explanation:

2x + 3y = 18

3x - 3y = 12

the 3y and -3y cancel and you add the other like terms

5x = 30

x = 6

plug x back into any of the equations

2(6) + 3y = 18

12 + 3y = 18

3y = 6

y = 2

answer is (6,2)

4 0

3 years ago