Two rectangles have the same width. The length of one is 1 foot longer than the width. The length of the other is 2 feet longer than the width. The larger rectangle has 5 more square feet than the smaller. What is the width of the rectangles?

Answer:

45

Step-by-step explanation:

45 = 3*3*5

180 = 2*2*3*3*5 <---- so the other number had to contain a factor of 2*2 or 4

also, let the other number has to be of the form 3k and it must contain a factor of 4, how about 12 ?

check: lcf of 12 and 45 is 3,

the lcm of 12 and 45 is ...

12 = 2*2*3

45 = 3*3*5

so we need: 2*2*3*3*5 = 180

Answer:

8ha

Step-by-step explanation:

600*200 = 120000

120000* 1/3 = 40000

120000 - 40000 = 80000

10000m = 1ha

80000m = 8ha

The area of the remaining land is 8 hectares. The correct answer would be an option (B).

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

The total area of the rectangular farm is 600m × 200m = 120,000 square meters.

If 1/3 of it is used for planting rice, then the area used for planting rice is 1/3 × 120,000 = 40,000 square meters.

Therefore, the area of the remaining land is 120,000 - 40,000 = 80,000 square meters.

To convert this to hectares, divide by 10,000, so the area of the remaining land is 80,000 / 10,000 = 8 hectares. So the answer is 8 hectares.

Hence, the correct answer would be an option (B).

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Answer:

it's A 10

Step-by-step explanation:

10+20= 30

so 15×2=30

5+10=15

2( = ×2

Answer:

$18

Step-by-step explanation:

378 ÷ 27 = 14

14 + 4 = 18

The normal cost per person = $18

The normal cost per person is $18.

Given,

Brad's science class is heading to Skylight Observatory on a field trip.

The observatory offers a group rate for students that is $4 less per person than the normal cost.

There are 27 students in Brad's science class.

The total cost for the class is $378.

We need to find the normal cost per person.

We divide the total cost by the number of items.

Example:

7 bags cost $49

1 bag cost = $49 / 7 = $7

We have,

The number of students = 27

The total cost of the class trip with the offer =  $378

Offer = $4 less than the normal cost per student

Now,

The offer cost for each person:

= $378 / 27

= $14

The normal cost for each person:

= $14 + $4

= $18

Thus the normal cost per person is $18.

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Using implicit differentiation, it is found that the rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.

The volume of a sphere of radius r is given by:

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

Applying implicit differentiation, the rate of change is of:

[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]

In this problem, we have that [tex]\frac{dr}{dt} = 0.5, r = 17[/tex], thus:

[tex]\frac{dV}{dt} = 4\pi (17)^2(0.5) = 1815.84[/tex]

The rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.

A similar problem is given at https://brainly.com/question/11496075

Answer:

Step-by-step explanation:12-4=8

Answer: 18 days

Step-by-step explanation: you multiply 90 by 0.2 and you get 18

Answer:did u get it right

Step-by-step explanation:

Answer:

The Third number is 19

Step-by-step explanation:

7 + 2 = 11 then add 19=

11 + 19 = 30 After divide by three because there are 3 numbers

30.6 ÷ 3 = 10

Remember: To find the mean you add all the numbers together and divide by how many numbers are there.

For example: you have 2, 5, 8 you add them together which is 15. There are 3 numbers so you divide 15 by 3 which is 5.

The simplified expression is 7x- 2.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

−4x−2y+6 from 3x−2y+4.

So, subtraction will be as follows

3x - 2y + 4-( -4x  -2y + 6 )

or, 3x - 2y + 4  + 4x + 2y -6

or, 7x - 2

Hence, the simplified expression is 7x- 2.

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Answer:

(1,-4)

Step-by-step explanation:

2x+4y=-14

x-2y=9

2x+4y=-14

2(x-2y)=(9)2

2x+4y=-14

2x-4y=18

Add X

4x=4

X=1

Substitute x into any equation

(1)-2y=9

-2y=8

y=-4

Answer:

Where are the questions?

Step-by-step explanation:

Answer:

A 3.24 milligrams

Step-by-step explanation:

4 milligrams of copper - 0.76 milligrams of lead = 3.24 milligrams.

brainliest please. . . .

Answer:

he is correct bc the pattern correct

Step-by-step explanation:

Answer:

ms finch

Step-by-step explanation:

.

3(m+2) = 5m-58

3m+6 = 5m-58

6 = 2m-58

64 = 2m

m = 32

Answer:

My answer is A. and I hope this'll help

Answer:

a) - 10m

b) - $5000

c) - 40°

d) + $2000

Step-by-step explanation:

I hope this help you

Area:66 Perimeter:36

Step-by-step explanation:

Perimeter: 9+9+5+3+4+6: 36

as 9-5 is 3

and 9-3 is 6

Area: 9*6 +3*4: 66

Amount of tax paid = 43-40 = 3

Tax rate = 3/40 = 0.75

0.75 x 100 = 7.5%

Tax rate = 7.5%

Answer:

-110

Step-by-step explanation:

Answer:

-110

Step-by-step explanation:

Answer:

The slope is [tex]\frac{2}{8}[/tex]

Step-by-step explanation:

Take the general equation of a straight line [tex]y = mx+c[/tex]

Here [tex]m[/tex] is the slope of the line.

So let's get the equation of the line in the question in the same form.

[tex]-48 = 2x-8y[/tex]

Add [tex]8y[/tex] to both sides: [tex]8y - 48 = 2x[/tex]

Add [tex]48[/tex] to both sides: [tex]8y = 2x + 48[/tex]

Divide by [tex]8[/tex] to get it into the general equation: [tex]y = \frac{2}{8} x + 6[/tex]

Now compare it to the general equation to find the value of [tex]m[/tex]. The value of [tex]m[/tex] is the coefficient of [tex]x[/tex] which we can see is [tex]\frac{2}{8}[/tex]

Answer:

A x=-8 or x=-2

B x=-4 or x=-3

C x=-1 or x=-12

Answer:

We start off with 21 as the first term. So a1 = 21

The common difference is d = -3 because we subtract 3 each time to get from one term to the other (eg: 21 to 18 is minus 3)

The nth term of an arithmetic sequence is found by using this formula

an = a1 + d(n-1)

let's plug in the values we have so far to get

an = 21 + (-3)(n-1)

an = 21 - 3(n-1)

an = 21-3n+3

an = -3n+24

Why do this? Well it's helpful so we can find any term in the formula we want. In this case, we want the 40th term. So just plug in n = 40 from here and you're done

an = -3n+24

a40 = -3*40+24

a40 = -96

pointing you to the answer of choice B) -96

Answer:

add by 13 so it would be letter A

Answer:

A

Step-by-step explanation:

Answer:

I think its the rule RHS or SAS that indicates that x is 180ft (scale factor of 1.5)

Step-by-step explanation:

first do 135/90 to find the scale factor of 1.5

then to find x, multiply 120 by the scale factor.

Answer:

{x,y} = {2,-2}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    7x + 3y = 8

  [2]    3x - 4y = 14

Graphic Representation of the Equations :

   3y + 7x = 8        -4y + 3x = 14  

Solve by Substitution :

// Solve equation [2] for the variable  x  

 [2]    3x = 4y + 14

 [2]    x = 4y/3 + 14/3

// Plug this in for variable  x  in equation [1]

  [1]    7•(4y/3+14/3) + 3y = 8

  [1]    37y/3 = -74/3

  [1]    37y = -74

// Solve equation [1] for the variable  y  

  [1]    37y = - 74  

  [1]    y = - 2  

// By now we know this much :

   x = 4y/3+14/3

   y = -2

// Use the  y  value to solve for  x  

  x = (4/3)(-2)+14/3 = 2

Solution :

{x,y} = {2,-2}

Answer:

-4.8 • 3.2 < 4.2 divided by -3 < -2 3/5 - (-1 2/5) < 2 1/4 + (-1 2/5)

Hope it helps!

Answer:

40

Step-by-step explanation:

It is 40 because on the graph it shows that you don't start at the first crate but the 2nd you do and you have to figure out if the crate was one how many apples would their be