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Allisa [31]
3 years ago
14

Mr. Cole made this diagram of his bedroom. Which is the area of Mr. Cole’s bedroom? 90 square feet 82 square feet 72 square feet

36 square feet

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
3 0

Answer:

The answer is 82 square feet

Step-by-step explanation:

An easy way to do this is to split it into two rectanlges. You can do 10*5 and 8*4 as the dimensions to the two rectangles or you can do 2*4 and 9*8.

I am going to do the first option.

The area of a rectangle is length times width.

Rectangle one can be the one with the dimensions 10 and 5 and the length and width.

Rectangle two can be the one with the dimensions 8 and 4 and the length and width.

Area of rectangle one = 50 feet^2

Area of rectangle two = 32 feet^2

Since we split a large irregular shape into two bits, we must add them together, which results in 82 feet^2.  

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Patty made a banner that has an area of 36 square inches,. The length and width of the banner are whole numbers. The length is 4
omeli [17]

Answer: width= 3 inches; length= 12 inches.

Step-by-step explanation:

From the question, the length is 4 times greater than the width.

Let the width of the banner be represented by y.

Since the length is 4 times greater than the width. It will be denoted as:

Length= 4 × y = 4y

Since area= length×width

4y × y = 36

4y^2 = 36

Divide both side by 4

y^2 = 36/4

y^2 = 9

We have to find the square root of 9

y= √9

y = 3

The width is 3 inches.

The length will be: (3×4) = 12 units.

3 0
3 years ago
Read 2 more answers
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a t
PIT_PIT [208]

Answer:

Large box weighs 18.25 kilograms

Small box weighs 15.25 kilograms

Step-by-step explanation:

A fruit company delivers its fruit in two types of boxes: large and small.

Let x = weight of large box.

Let y = weight of small box.

A delivery of 3 large boxes and 5 small boxes has a total weight of 131 kilograms. This means

3x + 5y = 131 - - - - - - - - - - -1

A delivery of 6 large boxes and 2 small boxes has a total weight of 140 kilograms.

This means 6x + 2y = 140 - - - - - - - 2

Solving equation 1 and equation 2 by elimination method,

Multiply equation 1 by 6 and equation 2 by 3

18x + 30y = 786

18x +6y = 420

24y = 366

y = 366/24 = 15.25

Put y = 15.25 in equation 1

3x + 5× 15.25 = 131

3x + 76.25 = 131

3x = 131 - 76.25

3x = 54.75

x = 54.75/3 = 18.25

5 0
3 years ago
Mark is in training for a marathon race. He has been training by running 10 miles each day. He will be increasing his running by
Kobotan [32]

Answer:

  26

Step-by-step explanation:

Put 10 in the formula where x is, then do the arithmetic.

  y = 10(1.1^10) ≈ 10(2.5937) ≈ 26

Mark will be running 26 miles per day 10 weeks from now.

5 0
3 years ago
6) (after 2.3) Consider the infinite system of linear equations in two variables given by ax + by = 0 where (a, b) moves along t
Paraphin [41]

Answer:

Step-by-step explanation:

Given infinite system of linear equations is ax + by = 0

when (a,b) moves along unit circle in plane.

a) system having unique system (0, 0)

Since two of equation in thus system will be

1.x+0.y=0\\x=0

and

0.x+1.y=0\\y=0

It is clear that x = 0, y= 0 is the only solution

b) Linear independent solution in this system gives some set of solutions

1.x+0.y=0\\\x=0

and

0.x+1.y=0\\y=0

Vector form is

\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =I

c) for this equation if add 0x +0y = 0 to system , Nothing will change

Because [0,0] satisfies that equation

d) If one of the equation is ax + by = 0.00001

where 0.00001 is small positive number

so, the system will be inconsistent

Therefore, the system will have no solution.

6 0
3 years ago
A system whose graphs have the same slope but different y- intercepts
almond37 [142]
X intersept form........
8 0
3 years ago
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