The length of a rectangle is 3 times the width. If
the length is decreased by 4m and the width is
increased by 1m, the perimeter will be 66m.
Determine the dimensions of the original rectangle.

Answer:  6000ft2

Step-by-step explanation: Multiply 15*20*20 to find the area of a figure.

Answer:

113 inches

Step-by-step explanation:

13 times 9 is 117 inches (this is the area for the whole cake)

2 times 2 is 4 (this is just the middle)

But since the brother ate the middle you will have to subtract the area of the middle piece from the whole area.

117-4 is 113 so the area now is 113 inches

Answer:

x = 80 / 79 [improper fraction]

x = 1 ¹⁄₇₉ [mixed fraction]

x = 1 + [tex] 0.\overline{0126582278481} [/tex]

[decimal]

x ≈ 1.01 [decimal to nearest hundredth]

Step-by-step explanation:

10.3x + 4.5x = 15

(10.3 + 4.5)x = 16

(15.8)x = 16

(15.8)x / 15.8 = 16 / 15.8

x = 16 / 15.8

x = (16) / (15 + ⁸⁄₁₀)

x = (16) / (15 + ⅘)

x = (16) / (15 ⅘)

x = (16) / (79 / 5)

x = (16) × (5 / 79)

x = 80 / 79

x = 1 ¹⁄₇₉

x = 1 + ¹⁄₇₉

x = 1 + [tex] 0.\overline{0126582278481} [/tex]

x ≈ 1.01

Answer:

4/5 x 2 1/2 < 2 1/2

Step-by-step explanation:

1/5 x 2 1/5 is 1/2 of 2 1/2 so 2 1/2 would be greater.

Answer:

A.

irrational numbers

Step-by-step explanation:

Name the set(s) of numbers to which each number belongs.

1/33......the number is rational

7........Natural Number....whole number

-20/4=-5........integer

-7.34.........rational

[tex]\sqrt{5}[/tex]......... irrational number

all above numbers belong to the "REALS"

Use the definitions in order to categorize the numbers as either natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.

Irrational Numbers, Real Numbers

Answer: A. Irrational Numbers

Step-by-step explanation:

Gradpoint.

Answer:

x=2

Step-by-step explanation:

1. AB=AC (The triangle is isosceles. This means that at least two of its sides are equal in length. Looking at the triangle in the picture, sides AB and AC look the same, so we will assume that they are equal. Note that as you get more advanced, assuming isn't the best strategy. You should always try to look for hints if you are ever unsure. For example, if there are two angles that are the same measure in a triangle, the two sides that are only touching one of these angles are equal in length. This is called the base angles theorem converse.)

2. 9x-3=6x+3 (Rewrite sides AB and AC as the values given in the picture. This is called substitution.)

3. 9x=6x+6 (Add 3 to each side)

4. 3x=6 (Subtract 6x from each side)

5. x=2 (Divide each side by 3)

let me know if i did anything wrong, hope this helps!!

Answer:

3 + (px6)

Step-by-step explanation:

hope this helps

Answer:

3+(p.6)

Step-by-step explanation:

Answer:

Step-by-step explanation:

6+12+18+....6n=3n(n+1)

Proof by induction

True for n = 1

6 = 3(1)(1+1)

Assume true for n = k

6+12+18+....6k=3k(k+1)

Then show that

6+12+18+....6(k+1)= 3(k+1)(k+1+1)

We add 6(k+1) to both sides of

6+12+18+....6k=3k(k+1)

6+12+18+....6k +6(k+1) =3k(k+1) + 6(k+1)

= 3(k+1)(k + 2)

= 3(k+1)(k+1+1)

So true for n = k+1

Since true for n=1 it is true for n=2,3,...

Thus true for all natural numbers n by mathematical induction

Answer:

6

Step-by-step explanation:

First subtract the fixed fee. 59-5=54

Divide 54 by 9.  

6

Answer:

B.) y - 6 = -8/5(x + 2)

Step-by-step explanation:

Remember in order to find the slope intercept form on 2 points, you need these equations: [tex]\frac{x_2 -x_1}{y_2 -y_1}[/tex] and [tex]y-y_1=m(x-x_1)[/tex]

To find the slope, you will need to use the first equation. In this case the equation will look like this: [tex]\frac{(-2)-6}{3-(-2)}=-\frac{8}{5}[/tex]

Then use the second equation, plug in the numbers, and you will get B as your answer

Answer:

x = 7

Step-by-step explanation:

x + 8 = 15

7 + 8 = 15

15 = 15

LHS = RHS

Answer:

B

Step-by-step explanation:

the answer is B.the equation of the line

...It's A on Ap3x......

Answer:

330

Step-by-step explanation:

Hello There!

The shown figure is a trapezoid with the following dimensions:

Height - 11m

Base 1 - 41m

Base 2 - 19m

Given this information we need to find the area

Remember the formula for the area of a trapezoid is

[tex]A=\frac{a+b}{2} h[/tex]

where a and b are bases and h is the height

Because we are given all of the information needed to calculate the area all we have to do is plug in the values into the formula

So...

[tex]A=\frac{19+41}{2} 11\\19+41=60\\\frac{60}{2} =30\\30*11=330\\A=330[/tex]

In conclusion the area of the figure is 330 square units

Answer:

y = 10

x = 17

Step-by-step explanation:

4y - 3 = 37

4y = 37 + 3

4y = 40

y = 40 / 4

y = 10

3x - 9 = 42

3x = 42 + 9

3x = 51

x = 51 / 3

x = 17

Hope that helps!

Answer:

x = 17

y = 10

Step-by-step explanation:

Parallel sides are equal in length, so set them equal to each other.

3x - 9 = 42 --> Add 9 to both sides.

3x = 51 --> Divide both sides by 3.

x = 17

4y - 3 = 37 --> Add 3 to both sides.

4y = 40 --> Divide both sides by 4.

y = 10

Answer:

D. 49.35

Step-by-step explanation:

[tex]\frac{4935}{100 X 100}[/tex] X 100 = 49.35

Answer:

1. 4 and 3/5

2. 3 and 1/6

Step-by-step explanation:

thats about it

Answer:

1. 4 3/5 or 4.6   2.  3 1/6

Step-by-step explanation:

Answer:

9.

Step-by-step explanation:

Answer:

teal?

Step-by-step explanation:

Answer:

Black , Blue or White

Step-by-step explanation:

Answer:

225 ft²

Steps:

(20×10)+5² = 200+25 = 225 ft²

Answer: 225ft^2

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

What I did was simple. I just plugged it into my calculator and let it get to work. If you don't have a calculator, use your phone or computer. There should be calculators on both of these.

Please let me know if you need any more help. Hope this helps!

Answer:

The answer would be the third one (12,0)

Answer:

BGC and FGE are cmplimentary so FGE = 45 degrees

Step-by-step explanation:

Answer:

2 and 2/3 mph

Step-by-step explanation:

The computation of the speed when he wants to keep the same distance is shown below:

Given that

Jenny left her house at 8:00AM

Went for a school at a speed of 2 and 2/3 mph

And, her brother left the house minutes later

So here the speed would be the same i.e.  2 and 2/3 mph

Answer: 900

Step-by-step explanation:

The number of seconds it will take both the crew together to make 38 sandwiches is 900.

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

The time taken by the afternoon crew to make a sandwich is 45 seconds. The time taken by the evening crew to make a sandwich is 50 seconds. Taking the LCM of the timing of the two crew, to know at what time they both will finish making a sandwich together.

LCM of 45 and 50 is 450.

Therefore, the number of sandwiches made by the afternoon crew in 450 seconds is 10, while the number of sandwiches that will be made by the evening crew is 9. Thus, in a time period of 450 seconds, both crews together will make 19 sandwiches.

Now, since it takes 450 seconds to make 19 sandwiches the time it will take to make double the number of sandwiches therefore, 38 sandwiches will also be double.

Hence, the number of seconds it will take both the crew together to make 38 sandwiches is 900.

Learn more about LCM:

https://brainly.com/question/20739723

#SPJ2

Answer:

The answer is 1710

Step-by-step explanation:

To find the volume of a shape, multiply the length by width by height.

V = LxWxH

Answer:

810in^3

Step-by-step explanation:

(6*19)/2 = 54

54*15 = 810