What is the remainder when the positive integer n is divided by 12 ? (1) when n is divided by 6, the remainder is 1. (2) when n is divided by 12, the remainder is greater than 5?

Answers

Answer 1

The remainder is 7.

The number n would be 31. In this case you could divide it by 6 and get 5 with a 1 remainder and then divide it by 12 and get 2 with a 7 remainder.

Related Questions

A circle is centered at (−8, −13) and has a radius of 13.

What is the equation of the circle?

Enter the equation in the box using lower case variables x and y.

Answers

we know that
the equation of a circle is
(x-h)²+(y-k)²=r²
where
(h,k) is the center
r is the radius
so
for a circle is centered at (−8, −13) and has a radius of 13
the equation is
(x+8)²+(y+13)²=13²--------------> (x+8)²+(y+13)²=169

the answer is
(x+8)²+(y+13)²=169

The answer is
(x+8)²+(y+13)²=169

A fish tank in the shape of a rectangular prism has these dimensions: length = 20 inches width = 10 inches height = 12 inches What is the volume of water in the tank when it is 45 full?

Answers

Final answer:

The volume of water in the fish tank when it is 45% full is 1080 cubic inches.

Explanation:

To find the volume of water in the tank when it is 45% full, we first need to calculate the volume of the tank.

The formula for the volume of a rectangular prism is length × width × height.

Given that the length is 20 inches, the width is 10 inches, and the height is 12 inches, we can substitute these values into the formula: 20 × 10 × 12 = 2400 cubic inches.

Next, we need to find 45% of this volume. To do this, we multiply the volume by 0.45: 2400 × 0.45 = 1080 cubic inches.

Therefore, the volume of water in the tank when it is 45% full is 1080 cubic inches.

Damien bowled 5 games, His scores were:

82, 83, 65, 84, 76.

What is Damien's mean bowling score?

Please hurry! On a time limit!

Answers

The mean is basically the average.
To find the mean we need to add up all the values and divide it by the amount of games he played.
82 + 83 + 65 + 84 + 76 = 390
390/5
Mean = 78

Final answer:

To find Damien's mean bowling score, we add up his scores and divide by the number of games played. The mean bowling score is 78.

Explanation:

To calculate Damien's mean bowling score, we need to find the sum of all his scores and divide it by the total number of games played. Damien's scores are 82, 83, 65, 84, and 76.

Adding these scores together we get: 82 + 83 + 65 + 84 + 76 = 390.

Then, divide the sum by the total number of games played: 390 ÷ 5 = 78.

Therefore, Damien's mean bowling score is 78.

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Elizabeth brought a box of donuts to share. there are two-dozen (24) donuts in the box, all identical in size, shape, and color. six are jelly-filled, 6 are lemon-filled, and 12 are custard-filled. you randomly select one donut, eat it, and select another donut. find the probability of selecting two custard-filled donuts in a row.

Answers

12/24 + 11/23 = 276/552 + 264/552
= 540/552
= 90/92
= 45/46 (Final Answer)

The ratio of height between Joey and his girlfriend is 8:7. If Joey is 72 inches tall, how tall is his girlfriend in inches

Answers

Ratio is Joey/girlfriend = 8/7=8x/7x.
8x is height of Joey.
8x=72
x=72/8=9

7x is height of Joey's girlfriend.
7x=7*9=63 in.
Answer: 63 in.

Joey : Girlfriend = 8 : 7

Multiply the ratio by 9:
Joey : Girlfriend = 8x9 : 7x9
Joey : Girlfriend = 72 : 63

Answer: His girlfriend is 63 inches tall.

A scatter plot has a correlation coefficient of -0.159. What does this suggest about the relationship between the two variables?

Answers

r = -0.159 is the correlation coefficient

the value of r is closer to 0 than it is to -1, so the data is very weakly linear associated. The scatter plot points are too spread out for one single line to be close to them all. A different curve (such as a parabola) may be a better fit.

The fact that r is negative suggests that there is negative association. What this means is that as x goes up, y goes down. As you move from left to right, you go downhill. The regression line will have a negative slope.

shawna and amanda are selling pies for a school fundraiser. customers can buy cherry pies and pumpkin pies. shawna sold 1 cherry pie and 3 pumpkin pies for a total of $55. amanda sold 3 cherry pies and 3 pumpkin pies for a total of $69. what is the cost of each one cherry pie and one pumpkin pie?
PLEASE SHOW WORK

Answers

Let the cherry pies be c and the pumpkin pies be p:
Shawna: c + 3p = 55
Amanda: 3c + 3p = 69
We want to find the cost of c + p. To do this, the easiest way is to divide the second equation by 3:
(3c + 3p)/3 = 69/3
c + p = 23
Therefore, 1 cherry pie & 1 pumpkin pie cost $23.

A jar contains nickels and pennies there are 56 coins in the jar in all the total value of he coins is $1.52 how many pennies are in the jar

Answers

You would have 24 nickels and 32 pennies in the jar.
24*5=1.20
56-24=32
1.20+.32=1.52

Given the two expressions shown below:

A. \sqrt{3} +\sqrt{2}
B. \sqrt{3} +\sqrt{6}

Which statement best describes the two expressions?

Both are rational.
Both are irrational.
A is rational, but B is irrational.
A is irrational, but B is rational.

Answers

[tex]\sqrt3\ is\ irrational\\\\\sqrt2\ is\ irrational\\\\\sqrt6\ is\ irrational\\\\therefore\\\\A.\ \sqrt3+\sqrt2\ is\ irrational\ and\ B.\ \sqrt3+\sqrt6\ is\ irrational[/tex]
Answer: Both are irrational.

Ryan wants to use the Fermi process to estimate the number of basketballs that would fill a gymnasium. As part of the process, he needs to estimate the volume of a basketball. The diameter of a basketball is about 10 in.

Which estimate best approximates the volume of a basketball?

5×10^1 in³
5×10^2 in³
5×10^3 in³
5×10^4 in³

Answers

A basketball is the shape of a sphere.

The volume of a sphere is given by

[tex]V= \frac{4}{3} \pi r^3[/tex]

Given that the diameter of the basketball is 10 in., thus the radius is 10 / 2 = 5 in.

Thus, the volume of the basketball is given by

[tex]V= \frac{4}{3} \pi(5)^3 \\ \\ = \frac{4\times125}{3} \pi=523.6\ in^3[/tex]

Therefore, The best approximate of the volume of the basketball is [tex]5\times10^2\ in^3[/tex]

Find an explicit formula for the sequence 30\,,\,150\,,\,750\,,\,3750,...30,150,750,3750,...30, space, comma, space, 150, space, comma, space, 750, space, comma, space, 3750, comma, point, point, point.

Answers

The series shown is an geometric series and the explicit formula is given by:
an=ar^(n-1)
where
a=first term
n=number of terms
r=common ratio
from the sequence:
a=30
r=5
thus the explicit formula will be:
an=30(5)^(n-1)
hence the answer is:
an=30(5)^(n-1)

Answer:750+3750=4,500

Step-by-step explanation:

Ross and 5 of his friends are going kayaking. They rented 6 kayaks for 420. then they brought food for all 6 people , which costs 144. if all 6 people shared the cost 144. if all 6 people shared the cost of the trip equally, how much did each person pay?
A. 70
B.76
C.88
D.94
please help me

Answers

I think the correct answer would be : $94
adding $420 + $144 = 564
then divide 564 and 6 to get 94.

Answer:

its $95

Step-by-step explanation:

i got it right

What will it cost to tile a rectangular floor measuring 231 feet by by 37 feet if the tile costs $ 14 per square foot?

Answers

we know that
area of rectangular floor=231*37-----> 8547 ft²

if the tile costs $ 14 per ---------------> 1 ft²
x----------------------------------> 8547 ft²
x=8547*14-----> x=$119658

the answer is
$119658

Final answer:

The total cost to tile a rectangular floor measuring 231 feet by 37 feet, with tile costing $14 per square foot, will be $119,658.

Explanation:

To find the cost of tiling a rectangular floor, first, calculate the area of the floor which is the length times the width. In this case, the rectangle is 231 feet by 37 feet so its area is 231 x 37 = 8,547 square feet.

With the tile costing $14 per square foot, the total cost will be the area of the floor times the cost per square foot. This can be calculated by multiplying 8,547 square feet x $14 per square foot = $119,658.

Therefore, the total cost to tile the rectangular floor will be $119,658.

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Find the quotient. 6^8/6^6

Answers

The answer would be 1^2.

To find this, first you divide 6 (numerator) by 6 (denominator) to get 1. Then you subratct the power of 6, from the power of 8, to get 2. Thus getting a final answer of 1^2.

I hope this helps!

6^2
Because 8 - 6 = 2

How do I do this ??

Answers

the answer is b.) -12x^3+28x^2

-4x^2 * 3x = -12x^3
-4x^2 *-7 = +28x^2
So since you can’t add them together the answer is the second one

how many real solutions does y = (-x + 4)^2 have?

Answers

it has 2 solutions
1.y = -1
2.y = 4/3 = 1.333

Short answer 1

Comment
There are a couple of ways of doing this to show there there is just one solution. The most easily done way is to graph the quadratic. I have done that for you.

Notice that the quadratic touches the x axis, it does not cut it in two places or no places. When a quadratic just touches the x axis, it has only one solution.

Method 2
The quadratic is shown in the vertex form. If there was a number outside he bracket showing squares then you would get

y = (-x + 4)^2 + 4 (drawn in blue)
y = (-x + 4)^2 - 6 (drawn in green)

These two examples show what the vertex form would look like if the axis was cut in 2 places or no places and there would be no solution for the first one and 2 places for the second one.

someone help me, please :)

Answers

f(x)=4x+1
g(x)=x^2-5
(f . g)(x)=?

(f . g)(x) = f(x) . g(x) = (4x+1).(x^2-5)=(4x).(x^2)+(4x).(-5)+(1).(x^2)+(1).(-5)
(f . g)(x) = 4x^(1+2)-20x+x^2-5
(f . g)(x)=4x^3+x^2-20x-5

Answer: Option A. 4x^3+x^2-20x-5

How much money must be deposited today to become $1300 in 20 years at 7.5% compounded continuously?

Answers

Use the formula for Amount for continuous compounding:

A = Pe^(rt)

Here A = $1300, r = 0.075 and t = 20 yrs. Thus,

1300 = P*e^(0.075*20), or 1300 = P (4.482).
$1300
Solving for P: P = ----------------- = $290.07 (answer)
4.482

What is the y-value of sin(x) when x = -90°?

Answers

-90 degrees = 270 degrees

You can use the unit circle to find this value, if you wish.

sin(-90) = -1

Eliminate the parameter.

x = one divided by two t, y = 3t^3 - 1

Answer choices:
y = three divided by eight t^3 - 1
y = 24x^3 - 1
y = 6x^3 - 1
y = 24x - 1

Answers

Answer:
y = 24x³ - 1

Explanation:
We have:
x = [tex] \frac{1}{2} t[/tex]
This means that:
t = 2x ...............> I

We are also given that:
y = 3t³ - 1 .............> II

Substitute with I in II to eliminate the t as follows:
y = 3t³ - 1
y = 3*(2x)³ - 1
y = 3*8x³ - 1
y = 24x³ - 1

Hope this helps :)

x = one divided by two t
x = 1/2t; t = 2x

Substitute the t in the equation:
y = 3t^3 - 1
y = 3(2x)^3 - 1
y = 3(8x^3) - 1
y = 24x^3 - 1

The answer is y = 24x^3 - 1

Hope this helps! Goodluck

In which situation would a savings account be the best investment to earn interest?

saving for retirement in 20 years
saving to buy a new car in three years
saving to buy a new house in seven years
saving to easily access the money when needed

Answers

Assuming that the interest rate in each case is the same, the only factors that come into play are the length of time, and the accessibility of the money. The longer the money is left alone, the more money it will accrue, meaning the first option "saving for retirement in 20 years" is the best option. The two below it are a shorter length of time and will therefore accrue less, and the final option is less profitable because withdrawing from the account would decrease the total interest earned.

Saving to easily access the money when needed is the situation would a savings account be the best investment to earn interest

What is Investment?

Investment is traditionally defined as the commitment of resources to achieve later benefits

An investment can be regarded as asset or item that is been gotten so as to generate income or appreciation.

It should be noted that appreciation serves as increase in the value of an asset over time.

To earn interest, it will be best to use savings account so that there could be easy access to the money when needed.

Hence, saving to easily access the money when needed is the situation would a savings account be the best investment to earn interest

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A rectangular garden measures 40 yards by 35 yards. a lawn of uniform width surrounds the garden and has an area of 316 square yards. find the width of the lawn that surrounds the garden.

Answers

The lawn area of uniform width can be written as follows:
A = (40 + 2x) * (35 + 2x) - (40) * (35)
Where,
x: width of the lawn
Substituting the value of the area we have:
316 = (40 + 2x) * (35 + 2x) - (40) * (35)
Rewriting:
316 = 1400 + 80x + 70x + 4x ^ 2 - 1400
Rewriting we have:
4x ^ 2 + 150x - 316 = 0
Solving the polynomial we have:
x1 = - 79/2
x2 = 2
Taking the positive root we have that the grass width des:
x = 2 yards
Answer:
The width of the lawn that surrounds the garden is:
x = 2 yards

The width of the lawn surrounding the garden is 2 yards.

Let's denote the width of the lawn as "w" yards.

The dimensions of the garden are 40 yards by 35 yards. Including the lawn, the dimensions become:

Length: 40 + 2w yards

Width: 35 + 2w yards

The area of the rectangle including the garden and the lawn is:

(40 + 2w) × (35 + 2w) square yards

The area of the garden itself is:

40 × 35 = 1400 square yards

The area of the lawn alone is:

Total area - Area of the garden = 316 square yards

Therefore:

(40 + 2w) × (35 + 2w) - 1400 = 316

Expand the left side of the equation:

= (40 + 2w)(35 + 2w)

= 40 × 35 + 40 × 2w + 35 × 2w + 2w × 2w

= 1400 + 80w + 70w + 4w²

= 1400 + 150w + 4w²

Set up the equation:

= 1400 + 150w + 4w² - 1400 = 316

= 150w + 4w² = 316

Rearranging the equation:

4w² + 150w - 316 = 0

Solve this quadratic equation using the quadratic formula:

w = (-b ± √(b² - 4ac)) / 2a

Here, a = 4, b = 150, and c = -316

Calculate the discriminant:

= b² - 4ac

= 150² - 4 × 4 × (-316)

= 22500 + 5056

= 27556

√27556 ≈ 166

Therefore:

w = (-150 ± 166) / 8

This gives two potential solutions:

w = (16 / 8) = 2

w = (-316 / 8) (not valid as width cannot be negative)

I have milk that contains 1 percent fat and milk that contains 4 percent fat. a customer wants a double latte made with 1/3 of a pint of 2 percent milk. how much of each type of milk should i use ?

Answers

You should use 2/9 of a pint of the 1% milk and 1/9 of a pint of the 4% milk.

Let x be the amount of 1% milk used. 1% = 1/100 = 0.01; this gives us 0.01x to represent this.

We know that we will use the 4% milk to make up the rest of the 1/3 pint; this gives us 0.04(1/3-x).

Together, they will make 1/3 pint of 2% milk, or 0.02(1/3)

This gives us the equation
0.01x+0.04(1/3-x) = 0.02(1/3)

Multiplying, we have
0.01x+0.04/3-0.04x = 0.02/3

We can multiply everything by 3 to eliminate the fractions:
0.01x*3 + 0.04 - 0.04x*3 = 0.02
0.03x + 0.04 - 0.12x = 0.02

Combining like terms, we have
-0.09x + 0.04 = 0.02

Subtract 0.04 from both sides:
-0.09x + 0.04 - 0.04 = 0.02 - 0.04
-0.09x = -0.02

Divide both sides by -0.09:
-0.09x/-0.09 = -0.02/-0.09

This gives us x = 2/9, so we will use 2/9 of a pint of the 1% milk.

1/3 - 2/9 = 3/9 - 2/9 = 1/9; we will use 1/9 of a pint of the 4% milk.

The double lathe milk with 2 percent fat concentration, is made by

considering the concentration and amount of each constituent.

The amount of each type of milk to be used in the [tex]\dfrac{1}{3}[/tex] pint of double lathe

are;

[tex]\dfrac{2}{9}[/tex] pint of the 1 percent fat milk and [tex]\dfrac{1}{9}[/tex] pint of the 4 percent fat milk.

Reasons:

Let x represent the amount of the milk that contains 1 percent fat in the

volume of the 2 percent fat milk.

Therefore, we have;

The amount of the 4 percent fat milk to be used = [tex]\dfrac{1}{3} - x[/tex]

[tex]Amount \ of \ fat = \dfrac{1}{100} \times x + \dfrac{4}{100} \times \left (\dfrac{1}{3} - x\right) = \dfrac{2}{100} \times \dfrac{1}{3} = \dfrac{2}{300}[/tex]

[tex]\dfrac{1}{100} \times x + \dfrac{4}{100} \times \left (\dfrac{1}{3} - x\right) = \dfrac{4 - 9 \cdot x}{300} = \dfrac{2}{300}[/tex]

Therefore;

4 - 9·x = 2

4 - 2 = 9·x

[tex]x = \dfrac{2}{9}[/tex]

The amount of the 1 percent fat milk to be used for the double lathe, x = [tex]\dfrac{2}{9}[/tex]

of a pint.

The amount of the 4 percent fat milk to be used for the double lathe = [tex]\dfrac{1}{3} - x[/tex]

Therefore;

The mount of the 4 percent fat milk = [tex]\dfrac{1}{3} - \dfrac{2}{9} =\dfrac{1}{9}[/tex]

The amount of the 4 percent fat milk to be used for the double lathe = [tex]\dfrac{1}{9}[/tex]

pint.

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Solve the equation.
left parenthesis x plus 4 right parenthesis left parenthesis x minus 9 right parenthesis equals 4 x
x =
nothing
(Use a comma to separate answers as needed.)

Answers

Final answer:

To solve the equation (x + 4)(x - 9) = 4x, expand and rearrange the terms. Then solve the quadratic equation by factoring or using the quadratic formula.

Explanation:

To solve the equation (x + 4)(x - 9) = 4x, we can expand the left side of the equation and then rearrange the terms:

x^2 - 5x - 36 = 4x

Next, we can move all the terms to one side of the equation:

x^2 - 9x - 36 = 0

Finally, we can solve this quadratic equation by factoring or using the quadratic formula to find the values of x.

Jack's father let jack use a rectangular section of the back yard that had dimensions of 10 feet by 12 feet for his garden. he wanted to put a fence around the outside of the garden. how long should the piece of fencing he needs to buy be?

Answers

That would be 12*2 + 10*2 = 24 + 20 = 44 feet

What is the excluded value of
-2x/17
a. x=0
b. x=2
c. x=17
d. no excluded values

Answers

Answer is d: no excluded values.

There is only excluded values if the variable x is in the denominator.

Find 3 consecutive odd numbers where the product of the smaller two numbers is 46 less than the square of the largest number.

Answers

Answer: The numbers are: " 5, 7, and 9 " .
___________________________________________________

Explanation:
___________________________________________________
Let the "3 consecutive odd numbers" be represented by:
___________________________________________________
"x" ;
___________________________________________________
"x + 2 " ;
___________________________________________________
"x + 4 " ;
___________________________________________________
→ Solve for "x" ; and then solve for "(x + 2)" and "(x + 4)" .
___________________________________________________

The product of the smaller two numbers, is "46 less than" (the square of) the largest number:
___________________________________________________
→ " x* (x + 2) = (x + 4)² − 46 " ;
___________________________________________________
Note the "distributive property" of multiplication:
___________________________________________________
a(b + c) = ab + ac ;

a(b − c) = ab − ac .
___________________________________________________

Start with simplifying the "left-hand side" of the equation:
___________________________________________________

" x(x + 2)" = (x * x) + (x * 2 ) = (x² + 2x) ;
___________________________________________________
Then simplify the "right-hand side" of the equation:
___________________________________________________

" (x + 4)² − 46 " ;
___________________________________________________
→ (x + 4)² = (x + 4) (x + 4) ;

Note: " (a + b)(c + d) = ac + ad + bc + bd " .

→ (x + 4)² = (x + 4) (x + 4) = (x *x) + (x *4) + (4 *x) + (4 * 4) ;

= x² + 4x + 4x + 16 ;

= x² + 8x + 16;

→ Bring down the " − 46 " ;
___________________________________________________
→ x² + 8x + 16 − 46 ;

= x² + 8x + 16 − 46 ;

= x² + 8x − 30 ;
____________________________________________________
Now, rewrite the entire equation:
____________________________________________________

→ x² + 2x = x² + 8x − 30 ;

Subtract "x² " & "2x" from EACH SIDE of the equation:

→ x² + 2x − x² − 2x = x² + 8x − 30 − x² − 2x ;

to get:

→ 0 = 6x − 30 ;

→ 6x − 30 = 0 ;

Add "30" to each side of the equation:

→ 6x − 30 + 30 = 0 + 30 ;

→ 6x = 30 ;

Divide each side of the equation by "6" ;
to isolate "x" on each side of the equation; & to solve for "x" ;

→ 6x / 6 = 30 / 6 ;

to get;

→ x = 5 ;

→ "(x + 2)" = "(5 + 2)" = 7 ;

→ "(x + 4)" = "(5 + 4)" = 9 ;
______________________________________________________
Answer: The numbers are: " 5, 7, and 9 " .
______________________________________________________

LAST TIME I POST THIS QUESTION
Solve the triangle: α = 58°, a = 9, b = 15.

Answers

Not sure if this help not sure what your looking for

HELP!!! - The lunch special at a diner is a bowl of soup with either a salad or a sandwich. The diner offers chicken noodle, potato, or lentil soup as part of the special. Which statement best describes how this tree diagram represents the number of different ways the lunch special can be ordered?

A: The diagram is flawed because it should show there are four different ways the special can be ordered.
B: The diagram is flawed because it should show there are five different ways the special can be ordered.
C: The diagram models the situation correctly, and it shows there are six different ways the special can be ordered.
D: The diagram models the situation correctly, and it shows there are nine different ways the special can be ordered.

Answers

The correct answer is C) The diagram models the situation correctly, and it shows there are six different ways the special can be ordered.

Answer:

C: The diagram models the situation correctly, and it shows there are six different ways the special can be ordered.

Step-by-step explanation:

In an origami class, the instructor tells the students to cut a square that has an area of 24 square inches. Kevin cuts a square with a side length of 4.80 inches. Which statement is true?

Answers

the options of the question in the attached figure

we know that
area of a square=b²
b is the length side of a square
Area=24 in²
24=b²-----------> b=√24 in-----> b=2√6 in-----> b=4.90 in

if Kevin cuts a square with a side length of 4.80 inches
so
4.80 < 4.90

therefore
the answer is
The side length of the square Kevin cuts is slightly less than the length the instructor required

Answer:

The side length of the square Kevin cuts is slightly less than the length the instructor required

Can I get brainliest?

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