Mathematics, 04.07.2020 06:01 mmimay3501

How many capfuls of liquid soap are needed to fill the rectangular soap dispenser? HELPPP PLZ

How many capfuls of liquid soap are needed to fill the rectangular soap dispenser? HELPPP PLZZZZ

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Answer from: landofliam30

Answer : The number of capfuls of liquid soap needed to fill the rectangular soap dispenser are 12.

Step-by-step explanation :

First we have to calculate the volume of soap dispenser which is a cuboid.

Volume of cuboid = l × b × h

where,

l = length of cuboid = 16 cm

b = width of cuboid = 9 cm

h = height of cuboid = 4 cm

Now put all the given values in the above formula, we get:

Volume of cuboid = 16 cm × 9 cm × 4 cm

Volume of cuboid = 576 cm³

Now we have to calculate the volume of cap which is a cylinder.

Volume of cylinder = π r² h

where,

r = radius of cylinder = 2 cm

h = height of cylinder = 4 cm

Now put all the given values in the above formula, we get:

Volume of cylinder = 3.14 × (2 cm)² × 4 cm

Volume of cylinder = 50.24 cm³

Now we have to calculate the number of capfuls of liquid soap are needed to fill the rectangular soap dispenser.

Number of capfuls of liquid soap needed = $\frac{\text{Volume of soap dispenser}}{\text{Volume of cap}}$

Number of capfuls of liquid soap needed = $\frac{576cm^3}{50.24cm^3}$

Number of capfuls of liquid soap needed = 11.46 ≈ 12

Therefore, the number of capfuls of liquid soap needed to fill the rectangular soap dispenser are 12.

Answer from: Quest

A. dividing 99 by 204 will tell you that 99 out of 204 of the people were females at the action movie.

Answer from: Quest

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,

b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,

and solve for the variable

* lets solve the problem

∵ $7^{x}=77$

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴ $ln(7^{x})=ln(77)$

- use the rule $ln(a^{n})= nln(a)$

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴ $x=\frac{ln(77)}{ln(7)}=2.23$

* the solution of the equation is 2.23 to the nearest 2 decimal places

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