Find the area of the shape below:

Answer:

Slope: 4

Step-by-step explanation:

Answer: The slope is 4

Step-by-step explanation:

Slope formula:

[tex]m = \frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex]

[tex]m = \frac{17 - (-11) }{-1 -(-8) }[/tex]

[tex]m = \frac{17 +11 }{-1 +8}[/tex]

[tex]m = \frac{28 }{7}=m = \frac{4}{1}=m =4[/tex]

m = 4

The slope is 4

Answer:

100th term = -1485

Step-by-step explanation:

[tex]t_{n} = a + (n - 1)d[/tex]

n = number of terms

= 100

a = first term

= 5

d = difference

= second term - first term

= 2 - 5

= -3

substitute the values into the formula

[tex]t_{100} = 5(100 - 1)( - 3)[/tex]

[tex]t_{100} = 5(99)( - 3)[/tex]

[tex]t_{100} = 495( - 3)[/tex]

[tex]t_{100} = - 1485[/tex]

Answer:

£133

Step-by-step explanation:

March had 31 days

Extra days used in March = March 31 - March 28

= 3 days

Extra days used in April = 16 days

Total extra days used = Extra days used in March + Extra days used in April

= 3 days + 16 days

= 19 days

Cost per extra days = £7

Total fine for 19 extra days = £7 × 19

= £133

Total fine paid = £133

The total fine paid by amir should be  £133.

March had 31 days

Extra days used in March should be

= March 31 - March 28

= 3 days

Now

Extra days used in April = 16 days

And,  

Total extra days used = Extra days used in March + Extra days used in April

= 3 days + 16 days

= 19 days

Cost per extra days = £7

Total fine for 19 extra days = £7 × 19

= £133

Learn more: brainly.com/question/16911495

Answer:

x=1

Step-by-step explanation:

3x=4-1

3x=3

x=1

Answer:

x = 2

Step-by-step explanation:

In the given figure

∵ ABC is a triangle

∵ D is a point on side AB

∵ E is a point on side BC

∵ DE // AC

∵ AC is the third side of the triangle

→ That means DE divides the sides AB, BC into parts that have the same ratio

∴ [tex]\frac{BD}{DA}[/tex] = [tex]\frac{BE}{EC}[/tex]

∵ BD = 6 and DA = 4

∵ BE = x + 1 and EC = x

→ Substitute them in the ratio above

∴ [tex]\frac{6}{4}[/tex] = [tex]\frac{x+1}{x}[/tex]

→ By using the cross multiplication

∵ 6 × x = 4 × (x + 1)

∴ 6x = 4(x + 1)

∴ 6x = 4(x) + 4(1)

∴ 6x = 4x + 4

→ Subtract 4x from both sides

∵ 6x - 4x = 4x - 4x + 4

∴ 2x = 4

→ Divide both sides by 2 to find x

∴ x = 2

Answer:

11.0344828%

Step-by-step explanation:

145000 - 129000 = 16000.

16000/145000 = 16/145 = 0.110344828

Therefore there was a 11.0344828% decrease

Answer:

11.03% that is the percentage decrease

Answer:

n = 2/3

Step-by-step explanation:

Step-by-step explanation:

4+5+6=1000

1000/15

4 . 5. 6= 266.4 . 333. 399

9514 1404 393

Answer:

  266 2/3 : 333 1/3 : 400

Step-by-step explanation:

The total of ratio units is 4+5+6 = 15, so the fraction of 1000 that each portion represents is ...

  4/15 : 5/15 : 6/15 = 4/15 : 1/3 : 2/5

Multiplying 1000 by these fractions gives ...

  1000(4/15) : 1000/3 : 1000(2/5)

  = 266 2/3 : 333 1/3 : 400

Answer:

10

Step-by-step explanation:

Range of data = Highest value - Lowest value

Here,

Highest value = 5

Lowest value = -5

Range = 5 - (-5)

= 5 + 5

= 10

Answer:

1

Step-by-step explanation:

Answer:

Number of songs played last year = 98,112 songs

Step-by-step explanation:

Given:

Number of songs played = 116,800

Decrees songs = 16% = 0.16

Find:

Number of songs played last year

Computation:

Number of songs played last year = Number of songs played[1-Decrees songs]

Number of songs played last year = 116,800[1-0.16]

Number of songs played last year = 98,112 songs

Answer:

C

Step-by-step explanation:

its more than likely to be C

Answer:

x = 4

Step-by-step explanation:

7x + 16/11 = 4

11 x 7x + 16/11 = 4 x 11

7x + 16 = 44

7x + 16 - 16 = 44 - 16

7x = 28

7x/7 = 28/7

x = 4

Check:

7x + 16/11 = 4

7(4) + 16/11 = 4

28 + 16/11 = 4

44/11 = 4

4 = 4 (note that this number is not the answer, just to check if each side is balanced, the actual answer is 4)

Bam !

Hope this helps ^w^

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{7x + 16}{11} = 4[/tex]

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 4 does indeed equal 4.

∴ x = 4 is the solution to the equation.

Answer:

9

Step-by-step explanation:

divide 5 into 45 which equals 9

Answer:

The minimum number of teachers needed for this trip is 18.

Step-by-step explanation:

The slope for this is 5/2. So the equation is y = (5/2)x. We know the y is 45 students. So we do division. In the end, we get x = 18 teachers.

Answer:

14 scarves

Step-by-step explanation:

Change the divisor 3.75 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

5250 ÷ 375 = 14

and therefore:

52.5 ÷ 3.75 = 14

Both calculated to 0 decimal places.

Answer:

lemonade = 11

Step-by-step explanation:

let p = pink lemonade

let t = sweet tea

create a system of equations -- one with quantity, one with associate costs

p + t = 21      

2.5p + 4t = 67.5

substitution method:  let t = 21 - p

2.5p + 4(21 - p) = 67.5

2.5p + 84 - 4p = 67.5

-1.5 p = -16.5

p = 11

t = 21 - 11

t = 10

Answer:

24= 2*2*2*3= 2^3*3

Step-by-step explanation:

Answer:

prime factorization of 24 = 2 * 2 * 2 * 3 = 2^3 * 3

Step-by-step explanation:

List the first several prime numbers: 2, 3, 5, 7, 11, 13, ...

Now start with 2. Divide 24 by 2 as many times as possible. Then move on to 3, to 5, etc. until you end up with 1.

Divide only by prime numbers.

Start by dividing 24 by 2:

24/2 = 12     12 is divisible by 2, so divide 12 by 2.

12/2 = 6       6 is also divisible by 2, so divide 6 by 2.

6/2 = 3    Since 3 is not divisible by 2, move onto 3.

3/3 = 1      When you get to 1, stop. The prime factors are all the prime numbers in boldface that you divided by.

prime factorization of 24 = 2 * 2 * 2 * 3 = 2^3 * 3

Answer:

-1/2 anwserchoice B

Step-by-step explanation:

negitive (-) and then rise (1 up) over run (two over)

good morning to you aswell <3

Answer:

The house would be worth £89989.12 in January 2015.

Step-by-step explanation:

With respect to the optimistic forecast, the value of the house will increase by 4% per year.

For the first year (January 2012 to January 2013),

4% of £80000 = 0.04 x £80000

                      = £3200

The cost of the house = £80,000 + £3200

                                     = £83200

For the second year (January 2013 to January 2014), we have;

4% of £83200 = 0.04 x £83200

                        = £3328

The cost of the house = £83200 + £3328

                                    = £86528

For the third year (January 2014 to January 2015), we have;

4% of £86528 = 0.04 x £86528

                        = £3461.12

The cost of the house = £86528 + £3461.12

                                     = £89989.12

According to the forecast, the house would be worth £89989.12 in January 2015.

Answer:

(1/3)(9x+27) > x + 33

multiply out the 1/3

3x + 9 > x + 33

subtract x and 9 from both sides

2x > 24

x > 12

D) because you dont include the 12

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer: To find x you to figure out if the two longest sides of the triangle are equal. to do that find all angles to help.

Step-by-step explanation:

Answer:

equation b ............

Answer:

b. similar because they are said to be similar if their corresponding angles are congruent and the corresponding sizes are in proportion.

Answer:

Ok its friday be happy

Step-by-step explanation:

===================================================

Explanation:

Let

The goal is to find y

For now, focus on the interior angles of triangle DEF. We have these three angles:

Those interior three angles add to 180. This is true for any triangle.

D+E+F = 180

90+53+x = 180

143+x = 180

x = 180-143

x = 37

angle 2 = 37 degrees

Now we can find y.

Focus on angles 2 and 3, which are x and y respectively. These two angles add to 180 because they form a straight line. Note: the triangle's angles summing to 180 is closely related to this idea where angle 2 and angle 3 are a linear pair.

So this means,

(angle2)+(angle3) = 180

x+y = 180

37+y = 180

y = 180-37

y = 143

angle 3 = 143 degrees

It's not a coincidence that we ended up with a previously calculated value of 143. It turns out that adding the remote interior angles D and E leads to the exterior angle EFG.

D+E = 90+53 = 143 = angle EFG

I'm using the remote interior angle theorem. Some textbooks may call this the exterior angle theorem. In my opinion, the phrasing "remote interior angle theorem" is more descriptive.