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3 years ago

Karen has 120. if she saves 24 per week, how many weeks will it take her to have a total of 312

Mathematics

1 answer:

son4ous [18]3 years ago

3 0

Answer:

13 weeks

Step-by-step explanation:

312/24=13

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What are the components of division and what do they mean (Like the divisor and stuff)

pashok25 [27]

Answer: The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

The division is an operation inverse of multiplication. If 3 groups of 4 make 12 in multiplication; 12 divided into 3 equal groups give 4 in each group in division.

The main goal of the division is to see how many equal groups or how many in each group when sharing fairly.

For example:

There are 16 balls and 4 boxes, how to put 16 balls into four equal sized boxes?

Step-by-step explanation: Therefore, 4 balls should be kept in each box.

Mathematical notation for division

There are various signs which can be used to indicate division such as ÷, /.

For example:

8 ÷ 2

8/2

Special names for each character in Division

Each part involved in a division equation has a special name.

Dividend ÷ divisor = quotient

Dividend: The dividend is the number that is being divided in the division process.

Divisor:The number by which dividend is being divided by is called divisor.

Quotient: A quotient is a result obtained in the division process.

18 ÷ 3 = 6

image5 image4 image6

Dividend divisor quotient

So, in the above process where we divided 16 balls into 4 equal groups;

The dividend is 16, the divisor is 4 and thus the quotient is 4.

3 0

3 years ago

The cost of a math book is $25 more than twice the cost of an English book. The total cost of the two books is $85. Find the cos

slavikrds [6]

Answer:

60 buck should be right

Step-by-step explanation:

4 0

4 years ago

A stockbroker earns a base salary of 40000 dollar plus 5%of the total value of the stocks,mutual funds , and other investments t

lisabon 2012 [21]

Well his salary is $40,000 dollars.

$72,750 - $40,000 = $32,750

This means that 5% of the value of investments he had sold was equal to $32,750.

$\frac { 1 }{ 20 } \times I=32750\\ \\ 20\times \frac { 1 }{ 20 } \times I=20\times 32750\\ \\ \therefore \quad I=655000$

The stockbroker sold $655,000 worth of investments.

7 0

4 years ago

G verify that the divergence theorem is true for the vector field f on the region

Alenkasestr [34]

$\mathbf f(x,y,z)=\langle z,y,x\rangle\implies\nabla\cdot\mathbf f=\dfrac{\partial z}{\partial x}+\dfrac{\partial y}{\partial y}+\dfrac{\partial x}{\partial z}=0+1+0=1$

Converting to spherical coordinates, we have

$\displaystyle\iiint_E\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=6}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=288\pi$

On the other hand, we can parameterize the boundary of $E$ by

$\mathbf s(u,v)=\langle6\cos u\sin v,6\sin u\sin v,6\cos v\rangle$

with $0\le u\le2\pi$ and $0\le v\le\pi$ . Now, consider the surface element

$\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\dfrac{\mathbf s_v\times\mathbf s_u}{\|\mathbf s_v\times\mathbf s_u\|}\|\mathbf s_v\times\mathbf s_u\|\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=\mathbf s_v\times\mathbf s_u\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=36\langle\cos u\sin^2v,\sin u\sin^2v,\sin v\cos v\rangle\,\mathrm du\,\mathrm dv$

So we have the surface integral - which the divergence theorem says the above triple integral is equal to -

$\displaystyle\iint_{\partial E}\mathbf f\cdot\mathrm d\mathbf S=36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv$
$=\displaystyle36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}(12\cos u\cos v\sin^2v+6\sin^2u\sin^3v)\,\mathrm du\,\mathrm dv=288\pi$

as required.

3 0

4 years ago

Please help! Both questions are in the photo. Thank you so much!

tangare [24]

The probability that a 4 shows up is 0.20 and the proportion of 3's rolled is 0.467

<h3>The probability that a 4 shows up</h3>

From the list of numbers, we have:

Sides = 5 i.e. numbers 1 to 5
n(4) = 1 i.e. sides labelled 4

The probability that a 4 shows up is then calculated as:

P = n(4)/Sides

This gives

P = 1/5

Evaluate

P = 0.2

<h3>The proportion of 3's rolled</h3>

In the list of numbers, we have:

Total = 15
Number of 3's = 7

The proportion of 3's rolled is then calculated as:

P = Number of 3's/Total

This gives

P = 7/15

Evaluate

P = 0.467

Hence, the proportion of 3's rolled is 0.467