Mrs. Leger has a rectangular garden with side lengths measuring (3x + 10) inches
and (2x + 7) inches. She needs to purchase fertilizer to cover the area of her
garden. Given the side lengths, what is the area of Mrs. Leger's garden?

The length of the rectangle is determined as x - 5 while the width is x² + 3.

The length of the rectangle is determined by the following formula shown below;

Area = Length x width

L = A/w

           x  - 5

          ------------------------------------

x² + 3 √x³ - 5x² + 3x - 15

           -(x³  + 3x)

        --------------------------

             - 5x²  - 15

              -5x² - 15

        ----------------------------

                     0

Thus, the length of the rectangle is determined as x - 5 while the width is x² + 3.

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Interest is calculated monthly here

Interest:-

Step-by-step explanation:

Interest can be calculated by formula,

» I = Prt

where,

Given:

To find:

Solution:

Time in yrs so :- 40/365 = 8/73

Rate :- 10/100

Calculating Interest

» I = 470* 8/73* 10/100

» I = 47* 8/73

» I = 5.15

The Perimeter of the Field with a rectangular area of 1764 m² and the given width is; D: 170 m

We are given;

Area of rectangle; A = 1764 m²

We are told that the width of the field is 13 m more than the length. Thus;

W = L + 13

Thus;

L(L + 13) = 1764

L² + 13L = 1764

Using quadratic equation calculator;

L = 36 m

Thus;

W = 36 + 13

W = 49

Perimeter = 2(L + W)

Perimeter = 2(49 + 36)

Perimeter = 170 m

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Interest be I

If interest is daily

If interest is monthly (30days)

Answer:

$ 1.20

Step-by-step explanation:

[tex]\sf Time = 10 \ days = \dfrac{10}{365}=\dfrac{2}{73}[/tex]

[tex]Interest = Principal * time *rate\\\\\\=470*\dfrac{2}{73}*\dfrac{9}{100}\\\\= 1.20[/tex]

= $ 1.20

Answer:

3/12

Step-by-step explanation:

2/3 of the 3/4

=3/4×2/3

=6/12

=1/2

this is to say a half of the boys are wearing tennis shoes

since the total number of boys in the class is 3/4

1/2 of the 3/4

=3/12

[tex]2\sqrt 5 + 3 \sqrt{20}\\\\\\=2\sqrt 5 + 3 \sqrt{4 \times 5}\\\\\\=2\sqrt 5+ 3\cdot 2 \sqrt 5\\\\\\=2\sqrt 5 + 6 \sqrt 5\\\\\\=8\sqrt 5[/tex]

Answer: In geometry, a pentagon is a five-sided polygon with five straight sides and five interior angles that sum up to

540

°

. A pentagon shape is a plane figure, or flat (two-dimensional) 5-sided geometric shape.

Properties of a Pentagon

1. Pentagons have five straight sides

2. Pentagons have five interior angles, which sum to

540

°

3. The five sides do not intersect

Step-by-step explanation:  Hello, I have only told you the properties on how to tell if it's a pentagon, please explain or show some type of image if you still need help!

Answer: it's c

your welcome:)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

26 and 5/9 are left if you eat 7 and 4/9 of 34 cookies.

Step-by-step explanation:

Answer:

15 cookies

Step-by-step explanation:

34-7=27

eat 4/9 of remaining cookies means 27÷9×4= 12 more cookies are eaten

27 - 12 = 15

Answer:

41cm^2×11cm=451cm^3

Step-by-step explanation:

You need to multiply the surface of the 'base' with height

Answer: 451 cm³

Step-by-step explanation: the rule of the volume is base times height so multiply 41

times 11 so the answer is 451 . The units is to the power of 3 in finding volume of figures . The hexagon is the base and the rectangle is the height so multiply their lengths and don't forget the units . Hope this helps .

The point P is located on the second partition, when segment AB is divided into 5 subsegments

The ratio is given as:

AP : PB = 8 : 12

Simplify the ratio i.e. divide by 4

AP : PB = 2 : 3

The above ratio means that when the segment AB is divided into 5 equal segments, the point P is located on the second partition

Note that the question is incomplete, so I provided a general explanation

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#SPJ1

Answer:

Step-by-step explanation:

V=pi*r^2*h

V=3.14*100*100

V=31400

Answer:

50 cubic units

Step-by-step explanation:

The formula for volume of cube = length x width x height

so we do

5 x 5 x 2 =

25 x 2 =

50 cubic units

Hope this helps!

- profparis

the lenghts on the figure are not

Answer: Counter, 0, 0.

Step-by-step explanation:

Think about a clock. The hand of a clock goes clockwise. When you tighten something (righty tighty) you spin it clockwise. You can rotate an object, lets say a square, clockwise. You can also rotate it counterclockwise, in the other direction. Therefore, you can rotate an object clockwise and counterclockwise.

You can rotate a figure around any point, such as the center of the figure, the origin, or anywhere else. One common place to rotate a figure around, such as a square, is the origin. This is the center of the coordinate plane. This point is not up, down, left, or right at all from the center. This coordinate is (0, 0). Therefore, the next two blank spaces should both be filled with 0.

The blank spaces should look like this:

One direction is clockwise and the other is counterclockwise.

...

This can be any coordinate point such as the origin which is at ( 0 , 0 )

Answer:

[tex]\huge\boxed{\bf{^6C_4 = 10combinations}}[/tex]

Step-by-step explanation:

Given:-

To find:-

Ans:-

[tex]\sf \to ^6C_4 = \frac{6!}{4!(6 - 4)!} [/tex]

[tex]\sf \to ^6C_4 = \frac{6!}{4!2!} [/tex]

[tex]\sf \to ^6C_4 = \frac{\cancel6^2*5*\cancel{4!}}{\cancel{4!}\cancel{2!}} [/tex]

[tex]\sf \to ^6C_4 = 2*5 [/tex]

[tex]\sf \to ^6C_4 = 10combinations[/tex]

[tex]\: [/tex]

[tex]\huge\colorbox{blue}{BlackPain} [/tex]

Answer:

C.

Step-by-step explanation:

In a function, one x-value must have just one y-value assigned to it. So in short, C is the only table that does not represent a function because it has two values of Y (-3, and -1) for one value of x (1).

Answer:

(x+5)

Step-by-step explanation:

x^2 + 2x -15   =   (x+5)(x-3)

x^2 + 7x + 10 =    (x+5)(x+2)

The correct answers are:

B, D, and E.

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

A rectangle is a parallelogram with all right angles, so yes, every rectangle is a parallelogram.

A square is a parallelogram with all right angles and all congruent sides; since it is a parallelogram with all right angles, every square is a rectangle.

A rhombus is a parallelogram with all congruent sides.

Since a square is a parallelogram with all congruent sides, then every square is a rhombus.

A trapezoid is a quadrilateral with one pair of parallel sides. Since a rhombus is a parallelogram, with 2 pairs of parallel sides, rhombus are not trapezoids.

Answer:

40mph

Step-by-step explanation:

use the speed = distance/time formula.

1. The first car has a speed of 30mph and travels one mile so the equation can be written as 30mph = 1/t.

Rearrange to get t = 1/30

1/30 of an hour is 2 minutes.

2. The second car has a speed of 60 mph and travels one mile so the equation can be written as 60mph = 1/t

Rearrange to get t = 1/60

1/60 of an hour is 1 minute.

The time it took for the total journey is 1 + 2 = 3 minutes

Writing 3 minutes as a fraction of an hour:

3/60 = 1/20

So using the s = d/t formula to calculate the average speed the formula can be written as (the speed is unknown, time is 1/20 and the distance is 2 miles):

Speed = 2/(1/20) = 2x20/1 = 40

Therefore the average speed of that car is 40 mph.

Answer:

173%

Step-by-step explanation:

So, if one big square represents one whole it means each small square represents 1% as there are 100 of them in each large square.

The first square is completely shaded (100%) and the second square has 73 squares shaded (73%), so 100 + 73= 173%

Hope this helped! :)

Answer:

[tex]86.5 \ \%[/tex]

Step-by-step explanation :

the shaded area consists of 173 squares

The total area consists of 200 squares

THen the shaded area represents :

[tex](\frac{173}{200} \times 100) \ \% = 86.5 \ \%[/tex]

:

Using the relation between velocity, distance and time, the equation that relates x and y is given by:

x + y - 3 = 0.

Velocity is distance divided by time, hence:

[tex]v = \frac{d}{t}[/tex]

In this problem, he wants to run 30 km at a rate of 10 km per hour, hence:

[tex]10 = \frac{30}{t}[/tex]

10t = 30

t = 3.

The total time is 3 hours. Considering x as the number of hours he runs and y the number of hours he walks, along with the total time, the equation is given by:

x + y = 3.

In standard form:

x + y - 3 = 0.

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Answer:

5 1/4

Step-by-step explanation:

2 1/4 x 2 1/3 = 21/4 = 5 1/4

Answer: 0.165%

Step-by-step explanation: 102,000/62,000,000, × 100%

Answer:

99/101

Step-by-step explanation:

sin is essentially opposite over hypotenuse

hence, 99/101 is = sin(F)

Answer:

there are 5,280 feet in one miles

so 5,280 times greater

radius= 7ft

height= 15ft

the amount of water the tank can hold as its maximum.

[tex]volume \: of \: cylinder = {\pi \: r}^{2} h[/tex]

[tex] = \pi \times {7}^{2} \times 15[/tex]

= 2309.07

therefore, the tank can hold 2309.07L of water as its maximum.

Answer:

2y >= 5/2

Step-by-step explanation: