What number divided by 6 leaves a remainder of 5, divided by 5 leaves a remainder of 4, divided by 4 leaves a remainder of 3, and divided by 3 leaves a remainder of 2?

Answer:

The answer is 1470 seconds.

Step-by-step explanation:

Answer:

The area of a triangle is:

Step-by-step explanation:

Given the points of a triangle

A(1, 1)

B(2, 3)

C(4, 5)

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

Distance between AB:

[tex]AB=\sqrt{\left(2-1\right)^2+\left(3-1\right)^2}[/tex]

     [tex]=\sqrt{1+4}[/tex]

     [tex]=\sqrt{5}[/tex]

so

Distance between BC:

[tex]BC=\sqrt{\left(4-2\right)^2+\left(5-3\right)^2}[/tex]

     [tex]=\sqrt{2^2+2^2}[/tex]

     [tex]=\sqrt{2^3}[/tex]

     [tex]=2\sqrt{2}[/tex]

so

Distance between AC:

[tex]AC=\sqrt{\left(4-1\right)^2+\left(5-1\right)^2}[/tex]

    [tex]=\sqrt{3^2+4^2}[/tex]

   [tex]=\sqrt{5^2}[/tex]

    [tex]=5[/tex]

so

Semiperimeter = sum of sides ÷ 2            

                       [tex]s=\frac{\sqrt{5}+2\sqrt{2}+5}{2}=5.03224[/tex]

Area of the triangle:

[tex]A=\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}[/tex]

[tex]A=\sqrt{s\left(s-\sqrt{5}\right)\left(s-2\sqrt{2}\right)\left(s-5\right)}[/tex]

[tex]A=\sqrt{5.03224\dots \left(5.03224\dots -\sqrt{5}\right)\left(5.03224\dots -2\sqrt{2}\right)\left(5.03224\dots -5\right)}[/tex]

[tex]A=1[/tex]

Therefore, the area of a triangle is:

Answer:

80 meals

Step-by-step explanation:

Set up an equation where x is the number of meals:

100x + 3000 = 70x + 5400

Solve for x:

100x + 3000 = 70x + 5400

30x + 3000 = 5400

30x = 2400

x = 80

So, at 80 meals, the cost of the 2 venues will be the same

Answer:

80 metals

Step-by-step explanation:

100x + 3000 = 70x + 5400

How to Solve for x:

100x + 3000 = 70x + 5400

30x + 3000 = 5400

30x = 2400

x = 80

So, at 80 meals, the cost of the 2 venues will be the exact same

Answer:

Reflexive

Step-by-step explanation:

Because C and D are right angles. That’s def of perpendicular. I’m not sure about the vertical angles but it’s shown in the proof

Answer:

Reflexive

Step-by-step explanation:

Given:

Initial population = 45,000

Decreasing rate = 2%

Time = 5 year

To find:

The population after a period of 5 years.

Solution:

Formula used:

[tex]f(t)=ae^{rt}[/tex]

where, a is initial population, r is rate and t is time.

[tex]r=\dfrac{2}{100}=0.02[/tex]

Decreasing rate represented by -0.02.

Substitute a=45000, r=-0.02 and t=5 in the above formula.

[tex]f(5)=45000e^{-0.02(5)}[/tex]

[tex]f(5)=45000e^{-0.1}[/tex]

[tex]f(5)=45000(0.904837418)[/tex]

[tex]f(5)=40717.68381 [/tex]

Approximate the value to the previous integer.

[tex]f(5)\approx 40717 [/tex]

Therefore, the population after 5 years is 40717.

Answer:

40,718

Step-by-step ex

The population of a city is currently 45,000 and is declining at a rate of 2% each year. Estimate the population after a period of 5 years. Use the formula ƒ(t) = aert. planation:

Answer:

100 minutes or 1 hour and 40 minutes

Step-by-step explanation:

3 miles in 30 minutes means 1 mile in 10 minutes

10 miles takes 100 minutes or 1 hour and 40 minutes.

1 hour and 40 minutes

Answer:

6?

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2 + 4 =6

just add 2 by 4 than ans 6

Answer:

6. -f         7. f= 6/8

Step-by-step explanation:

Hope dis helps!!

1 foot = 12 inches:

1/72 = 12/x

Cross multiply:

1x = 72 * 12

x = 864 inches

Answer:

a) there is no chart but we can elaborate one:

taxi fee            half-miles driven

$1.75                      0

$2.05                     1

$2.35                     2

$2.65                     3

$2.95                     4

$3.25                     5

$3.55                     6

b) y = 0.3x + 1.75

where:

y = taxi fee

x = half miles driven

Answer:

0x + y = 6

Step-by-step explanation:

Equation of the Line

The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It can be later converted to any other form of the line. For example, the standard form is:

[tex]Ax + By = C[/tex]

Let's find the equation by using the given points (0,6) (5,6):

[tex]\displaystyle y-6=\frac{6-6}{5-0}(x-0)[/tex]

Operating:

[tex]\displaystyle y-6=\frac{0}{5-0}(x-0)[/tex]

y - 6 = 0

Or, equivalently:

0x + y = 6

This corresponds to a horizontal line

Answer:

No solution.

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

4x + 16y = -19

-2x - 8y = 10

Step 2: Rewrite systems

-2x - 8y = 10

Step 3: Redefine systems

4x + 16y = -19

x = -4y - 5

Step 4: Solve for y

Substitution

Here we see that -20 does not equal -19.

∴ This systems of equations has no solution

Step 5: Graph

Check the systems.

Hard to see, but they are parallel lines.

Answer:

66m

Step-by-step explanation:

perimeter is the distance all round a figure

perimeter(p)= 2( length(l) + width(w))  or  perimeter= 2 length + 2 width

p= 2(l + w)                                                 or      p =  2l  + 2w

p= 2(16.3 +16.7)                                        or      p=  2(16.3) + 2(16.7)

p=2(33)                                                      or     p=   32.6  +  33.4

p=66m                                                        or     p=  66m

Answer:

8/343

so A

Step-by-step explanation:

Answer:

Iscoccecles

Sorry if i spelled it wrong.

Step-by-step explanation:

Step-by-step explanation:

you have to know how many inches make a foot or vice versa the you do simple proportion by equating the inches to the foot to get the answer. simple as abc

Answer:

cf

cf

centru. toc htc. toc cf. activ. cfc fgfvxv. chvv

Answer:

$12.60

Step-by-step explanation:

12/100 × 12 = 0.60

12 + 0.60 = 12.60

Answer:

25

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3x+4

-3(-4)+4

12+4

16

Answer:

3x+4

3(-4)+4

12+4

16

Step-by-step explanation:

Answer:

Hi... U should do like this

Answer:

2 is A, 3 is C

Step-by-step explanation:

[tex]\huge\mathtt{Hello!}[/tex]

[tex](6x - 23) = (4x + 9)[/tex]

[tex]6x -4x = 9 + 23[/tex]

[tex]2x = 32[/tex]

[tex]x = 16[/tex]

It is because the sides are equal, so the angles opposite to them also are equal.

Have a nice day!

Answer:

200

Step-by-step explanation:

Length = 2w

2w + 2l = 60

substitute l out with 2w

2w + 2(2w) = 60

2w + 4w = 60

w = 10

l = 20

Area = w • l

        = 10 • 20

        = 200

Step-by-step explanation:

Given the equation;

3(x-2) = 4

A sequence of steps for solving the equation is as shown;

Step 1: Open the parenthesis by applying distributive law to distribute 3 over x and 2 as shown;

3(x-2) = 4

3(x)- 3(2) = 4

3x - 6 = 4

Step 2: Add 6 to both sides of the equation (Addition property)

3x-6+6 = 4+6

3x = 10

Step 3: Division property of equality. Divide both sides by 3;

3x = 10

3x/3 = 10/3

x = 10/3

Answer:

The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)

Step-by-step explanation:

Given quadratic polynomial is:

[tex]5x^2-14x+8[/tex]

To factor a quadratic polynomial with leading co-efficient has to be factorized, the leading co-efficient and the constant are multiplied and pairs(a,b) of the product are made so that their sum or subtraction is equal to the co-efficient of x

We get 40 by multiplying 8 and 5

And the pair we get are: 10 and 4

[tex]=5x^2-10x-4x+8\\=5x(x-2)-4(x-2)\\=(5x-4)(x-2)[/tex]

Hence,

The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)

Answer:

Yellow is correct.

You can add the valued and divide by how many values there are to find the mean

The score of 20 is an outlier and brings the mean score down by almost 10%

Step-by-step explanation:

Answer:

3: The low score causes the mean to decrease.

Step-by-step explanation:

If you add a significantly lower number, it will bring down the overall average.

Hope this helps!

Answer:

25%

Step-by-step explanation:

This is like a part over whole problem, where 24 blue pens is the part and 96 pens total is the whole.

24/96 = 0.25 * 100 = 25%

Answer:

Of the 96 pins, 25% of the pins were blue.

Step-by-step explanation:

We are given that Martina ordered 96 pins in total. We are also given that she ordered 24 blue pins.

With this, we can determine how many of the pins were not blue pins by subtracting the amount of blue pins from the number of total pins.

[tex]96 \ \text{total pins} - 24 \ \text{blue pins} = 72 \ \text{orange pins}[/tex]

Now, we can divide the number of blue pins by the number of total pins to determine the fraction of blue pins to total pins.

[tex]\displaystyle \frac{24}{96} = \frac{12}{48} = \frac{6}{24} = \frac{3}{12} = \frac{1}{4}[/tex]

Then, we can convert our fraction to a decimal.

[tex]\displaystyle \frac{1}{4} = 0.25[/tex]

And finally, we can convert our decimal to a percentage by multiplying the determined decimal by 100.

[tex]0.25\times100 = 25\%[/tex]

Therefore, of the 96 pins that Martina ordered, 25% of them were blue.