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3 years ago

4. An oil palm plantation uses fertiliser at a rate of 350 kg per hectare. State the rate of

Mathematics

1 answer:

otez555 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

1kg= 1000g

1 hectare = 10 000 m²

1 kg/hct = 1000/10 000 g/m²

1 kg/hct = 1 / 10 g/m²

350 kg per hectare is equal to 350 / 10 = 35 g/m²

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5. A pair of jeans costing

Levart [38]

So $39.50 is the price when you are paying full price, which can be represented by 100%. If you’re paying 25% less, than you are only paying 75% of the original price. Simply multiply $39.50 by 75%(expresses as 0.75) to determine the sale price. 39.50(.75)=29.62 The closest value to that is $29.50, so D is the answer.

6 0

3 years ago

A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose fr

quester [9]

Answer: She could create 60 platters.

Step-by-step explanation:

Given: A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose from.

Number of combinations of selecting r things from n things is given by:-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

So, the number of combinations of selecting 2 different vegetables from 6 = $^6C_2=\dfrac{6!}{2!4!}=\dfrac{6\times5}{2}=15$

Now, By Fundamental counting principle, the number of different platters she could create = (number of ways of selecting 2 different vegetables from 6) x (Number of sizes)

= 15 x 4

= 60

Hence, she could create 60 platters.

6 0

3 years ago

I need this answer plzzz!!

Dmitriy789 [7]

Answer: True, False, False, False, False

Step-by-step explanation:

a) 5x - 7(x - 1)

5x - 7x + 7

-2x + 7 ⇒ a = -2, b = 7 One Solution

b) 3(x - 5) - 7

3x - 15 - 7

3x - 22 ⇒ a = 3, b = -22 One Solution

c) 2 - 7x + 3 + 4x

4x - 7x + 3 + 2

-3x + 5 ⇒ a = -3, b = 5 One Solution

d) -3(x - 3) - 1

-3x + 9 - 1

-3x + 8 ⇒ a = -3, b = 8 One Solution

e) -5x + 2 + 2x + 4

-5x + 2x + 2 + 4

-3x + 6 ⇒ a = -3, b = 6 One Solution

4 0

3 years ago

An art exhibit is made by stacking three identical prisms on top of each other end-to-end so their smallest faces overlap. One o

cestrela7 [59]

The surface area of the exhibit is 1,638 cubic inches.

Step-by-step explanation:

Step 1:

If three prisms are out on top of each other we get a shape as follows;

The length of the base $= 9$ inches,

The width of the base $=6$ inches, and

The height of the exhibit $= 3(17) = 51$ inches.

To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.

Step 2:

There are 6 faces to the exhibit.

The surface area of a rectangular prism is given by;

$A=2(w l+h l+h w)$

By substituting the values, we get

$A=2((6)(9)+(51) (9)+(51) (6)) = 2 (819) = 1,638.$

The surface area of the exhibit is 1,638 cubic inches.

4 0

3 years ago

A rectangle is placed around a semicircle as shown below. The length of the rectangle is 14mm. Find the area of the shaded regio

Damm [24]

Image is missing, so i have attached it

Answer:

21.07 mm²

Step-by-step explanation:

We will use the Formulas:

Area of semicircle = πr²/2

Area_rectangle = Length x width = Lw

We are given:

Length of rectangle = 14 mm

From the attached image, the diameter of the semicircle is equal to the length of the rectangle.

Thus;

diameter of semicircle = length of rectangle

Therefore,

diameter of semicircle = 14 mm

Also, from the attached image, the radius of the semicircle is equal to the width of the rectangle.

Thus;

diameter of semicircle/2 = radius of semicircle

Hence;

radius of semicircle = 14/2 = 7mm = width of rectangle

Thus;

Area of rectangle = L*w = 14 × 7 = 98 mm²

Area of semicircle = πr²/2 = π×7²/2 = 76.93 mm²

To get the area of the shaded region, we will subtract area of the semi-circle from the area of the rectangle.

Area of shaded region = Area_rectangle - Area_semicircle = 98 - 76.93 = 21.07 mm²

7 0

3 years ago