Please help, I can't figure out how to set this up. There's supposed to be 2 equations.

A number when divided by 780 gives remainder 38 .What

baherus [9]

Given:

A number when divided by 780 gives remainder 38.

To find:

The reminder that would be obtained by dividing same number by 26.

Solution:

According to Euclis' division algorithm,

$a=bq+r$ ...(i)

Where, q is quotient and $0\leq r$ is the remainder.

It is given that a number when divided by 780 gives remainder 38.

Substituting $b=780,\ r=38$ in (i), we get

$a=(780)q+38$

So, given number is in the form of $780q+38$ , where q is an integer.

On dividing $780q+38$ by 26, we get

$\dfrac{780q+38}{26}=\dfrac{780q}{26}+\dfrac{38}{26}$

$\dfrac{780q+38}{26}=30q+\dfrac{26+12}{26}$

$\dfrac{780q+38}{26}=30q+\dfrac{26}{26}+\dfrac{12}{26}$

$\dfrac{780q+38}{26}=30q+1+\dfrac{12}{26}$

Since q is an integer, therefore (30q+1) is also an integer but $\dfrac{12}{26}$ is not an integer. Here 26 is divisor and 12 is remainder.

Therefore, the required remainder is 12.

4 0

3 years ago

For friends went to a restaurant in bought Two large pizzas and if each pay 5.25 how much was each pizza

guajiro [1.7K]

Answer:

$10.5

Step-by-step explanation:

4(5.25) = $21 (total amount of money spent)

we want to divide that by 2 because we want to find the cost of one pizza

21/2 = $10.5

8 0

3 years ago

Appreciate the support!

andreyandreev [35.5K]

The volume of a rectangular prism is represented by the following equation:

$V=w*h*l$

Where the variables are for volume, width, height, and length, respectively.

We are given that the area of one end is 16 cm² (units have to be correct when solving these problems, so it's 16 cm², not 16 cm as described in the problem). We know that $A=w*h$

Using this knowledge, we can change the volume equation to our needs.

$V=w*h*l$

$V=(w*h)*l$

$V=A*l$

Note: We know that A is 16 since it's given

$V=16*l$

The volume is 208 cm³ (once again, incorrect units given). Insert this into the equation.

$208=16*l$

Divide both sides of the equation by 16.

$13=l$

The length is 13 cm.

Let me know if you need any clarifications, thanks!

4 0

3 years ago

Can anyone answer this? I'll give brianliest I just really really need this

avanturin [10]

Answer:

yes 2=138 degrees

Step-by-step explanation:

Not hundo perecent sure, sorry if it's wrong, if you want me to show my work then please ask

4 0

3 years ago

A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,

Alika [10]

The population of the moose after 12 years is 7692

Step-by-step explanation:

The form of the exponential growth function is $y=a(b)^{x}$ , where

a is the initial value
b is the growth factor

The table:

→ x : y

→ 0 : 40

→ 1 : 62

→ 2 : 96

→ 3 : 149

→ 4 : 231

To find the value of a , b in the equation use the data in the table

∵ At x = 0 , y = 40

- Substitute them in the form of the equation above

∵ $40=a(b)^{0}$

- Remember any number to the power of zero is 1 (except 0)

∴ 40 = a(1)

∴ a = 40

- Substitute the value of a in the equation

∴ $y=40(b)^{x}$

∵ At x = 1 , y = 62

- Substitute them in the form of the equation above

∵ $62=40(b)^{1}$

∴ 62 = 40 b

- Divide both sides by 40

∴ 1.55 ≅ b

∴ The growth factor is about 1.55

- Substitute its value in the equation

∴ The equation of the population is $y=40(1.55)^{x}$

To find the population of moose after 12 years substitute x by 12 in the equation

∵ $y=40(1.55)^{12}$

∴ y ≅ 7692

The population of the moose after 12 years is 7692

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

7 0

3 years ago