A farmer uses 1/3 of his land to plant cassava, 2/5 of the remaining and to plant maize and the rest vegetables .if vegetables cover an area of 10acres,what is the total area of the farmers land.

Step-by-step explanation:

The given sequence is 25, 29, 33, ....

The sequence represents arithmetic progression

In an AP, the first term is a1  = 25

The difference between two terms, d = 29 - 25 = 4

To find the 97th term,

By formula, [tex]a_{n} = a_{1} + (n - 1) d[/tex]

Substituting the values in the above equation, we get

[tex]a_{97} = 25 + (97 - 1) 4[/tex]

= 25 + (96 * 4)

= 25 + 384

= 409

The 97 th term in the given sequence is 409.

The 97th term of the arithmetic sequence 25,29,33,... can be calculated using the formula: a+(n-1)*d. In this case, the 97th term equals 409.

The subject of your question is arithmetic sequences. In an arithmetic sequence, every term is a certain amount greater than the previous term. This difference is known as the common difference. In your question, the sequence is 25, 29, 33, ..., indicating the common difference is 29-25, which equals 4.

To calculate the 97th term of an arithmetic sequence, we can use the formula: a + (n-1) * d where 'a' is the first term, 'n' is the term you're looking for, and 'd' is the common difference.

So, for your question, we input the necessary values and calculate: 25 + (97-1)*4 = 25 + 96*4 = 25 + 384 = 409.

Therefore, the 97th term of the arithmetic sequence you provided is 409.

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Final answer:

To make a total of 4 starting with 2 1/8, you need to add 1 7/8, which is the difference between 4 written as a fraction (32/8) and 2 1/8 (17/8).

Explanation:

To find what you need to add to 2 1/8 to make 4, you follow these steps:

First, you need to write the number 4 as a fraction with the same denominator as 2 1/8. Since 1/8 is the fractional part of 2 1/8, you can write 4 as 32/8 (because 4 × 8 = 32).

Next, you subtract the fraction 2 1/8 from 32/8. The whole number 2 is the same as 16/8 (because 2 × 8 = 16). So 2 1/8 is the same as 17/8 (because 16 + 1 = 17).

Now, subtract 17/8 from 32/8 to get the difference. 32/8 - 17/8 = 15/8.

The fraction 15/8 can also be written as 1 7/8 (because 15 ÷ 8 = 1 with a remainder of 7).

Therefore, you need to add 1 7/8 to 2 1/8 to make 4.

Answer:

- 8

Step-by-step explanation:

Given

= 4a + 8z ← substitute a = 8 and z = 3 into the expression

= - 4(8) + 8(3)

= - 32 + 24

= - 8

Answer:

-8

Step-by-step explanation:

a = 8

z = 3

-4(8) + 8(3) = -32 + 24 = -8

Step-by-step explanation:

D. Both charges must be different.

Because, like charges repel each other and different charges attract each other.

Answer:

32.3°

Step-by-step explanation:

Sqrt(7.5² - 6²) = 4.5

Tan(D) = 6/(24-10-4.5)

= 6/9.5

D = 32.3

Answer:

x=-8

Step-by-step explanation:

-8x - 8 + 3(x-2) = -3x + 2     Multiply the parentheses by 3

-8x - 8 + 3x -6= -3x +2        Collect all like terms and Calculate

-5x - 14= -3x + 2                   Move the terms

-5x + 3x = 2 + 14                  Collect all the like terms and Calculate the sum

-2x = 16                                Divide both of the sides by -2

x = -8

I hope this is what you were looking for and helps you out.

Answer:

[tex]x=-8[/tex]

Step-by-step explanation:

Given Equation:

           [tex]-8x-8+3(x-2)=-3x+2[/tex]

Solving for 'x' by taking the terms of 'x' to one side and constants to the other side:

         [tex]-8x-8+3(x)-3(2)=-3x+2\\[/tex]

           [tex]-8x-8+3x-6=-3x+2[/tex]

Adding the like terms:

         [tex]-5x-14=-3x+2[/tex]

Adding '[tex]3x[/tex]' both sides:

         [tex]-5x+3x-14=-3x+3x+2[/tex]

         [tex]-5x+3x-14=2\\\\-2x-14=2[/tex]

Adding '[tex]14[/tex]' both sides:

            [tex]-2x-14+14=2+14\\\\-2x=16\\\\x=\frac{16}{-2}[/tex]

            [tex]x=-8[/tex]

Answer:A=52M/7+20/7

Step-by-step explanation:

Answer: 7:4

Step-by-step explanation:

To take this ratio to its simplest form, we have to divide by a value divisible by both sides of the ratio.

8 is a divisible value, therefore,

56/8 = 56 ÷ 8 = 7

32 ÷ 8 = 4

Thus, 56:32 in its simplest form= 7:4

I hope this helps.

Answer: -31/3,-3,-1,-1/2,0,1,4,21/5,5,6

Answer:

= 2(x+[tex]\frac{5}{2}[/tex] )

Step-by-step explanation:

2x + 5

= 2(x+[tex]\frac{5}{2}[/tex] )

When:

2 is the constant

(x+[tex]\frac{5}{2}[/tex] )  is a sum of terms

Hope it will find you well.

The expression 2x + 5 can be written as the product of 1 and the sum 2x + 5. Therefore, it's 1(2x + 5).

Step 1:

Factor out the greatest common factor.

In the expression 2x + 5, there is no common factor other than 1 since both terms do not share any common factors.

Step 2:

Rewrite as the product of a constant and a sum of terms.

We rewrite 2x + 5 as the product of 1 and the sum of 2x and 5: [tex]\(1 \times (2x + 5)\).[/tex]

Step 3:

Perform the multiplication.

Multiplying 1 by the sum (2x + 5) gives us [tex]\(1 \times (2x + 5) = 2x + 5\)[/tex].

Step 4:

Interpret the result.

The expression [tex]\(2x + 5\)[/tex] represents the original expression 2x + 5 as the product of the constant 1 and the sum of terms 2x and 5. This expression is now in the form requested.

Answer:

789.6

You can do it on a calculator

105% of 752 is 789.6.

To find what number is 105% of 752, we first need to calculate 105% of 752.

105% of 752 can be found by multiplying 752 by 105% (or 1.05).

The calculation is: 752 * 1.05 = 789.6

Therefore, 105% of 752 is 789.6.

Answer:

3.1 kg

Step-by-step explanation:

3100 × 10^-3 = 3.1

Answer:

Step-by-step explanation:

Compare y = mx + b to

                y = -69x - 346.

Here the slope, m, equals -69 and the y-intercept, b, equals -346 (Answer C)

Answer:

Trust him (:

Step-by-step explanation:

Solution:

Given that,

z varies directly with x and inversely with [tex]y^2[/tex]

Which means,

[tex]z \propto \frac{x}{y^2}\\\\z = k \times \frac{x}{y^2}[/tex]

Where, "k" is constant of proportionality

Substitute x = 2 and y = 5, z = 8 in above

[tex]8 = k \times \frac{2}{5^2}\\\\8 = \frac{2k}{25}\\\\k = 25 \times 4\\\\k = 100[/tex]

What is the value of z when x = 4 and y = 9?

Substitute k = 100 , x = 4 and y = 9 in above

[tex]z = 100 \times \frac{4}{9^2}\\\\z = 100 \times \frac{4}{81}\\\\z = 4.938[/tex]

Thus value of z is 4.938

For this case we have that, by definition of trigonometric relationships of rectangular triangles, the cosine of an angle is given by the division of the leg adjacent to the angle on the hypotenuse of the triangle. According to the figure we have:

[tex]Cosine (50) = \frac {6} {x}\\x = \frac {6} {cosine (50)}\\x = 9.3343[/tex]

Thus, the value of x is 9.3

Answer:

[tex]x = 9.3[/tex]

Answer:

x+2y=-1 3x+y=1

Step-by-step explanation:

look photo

Answer: x + 2y = -1 and 3x + y = 1

Step-by-step explanation:

Answer:

90 km / hour.

Step-by-step explanation:

Speed = distance / time

So Distance = speed * time.

The distance is the same  in both scenarios so

60 * 9 = s * 6   where s is the required speed.

540 = 6s

s = 540 / 6

s = 90 km / hour.

Answer:

90 km/h

Step-by-step explanation:

If the jeep finished the journey in 9 hours and 60 km/h, then we know that the journey is 9 * 60 kilometers long, or 540 kilometers.

540 kilometers / 6 hours = 90 km/h

Answer:

A=~r

Step-by-step explanation:

Answer:

To find the area of a circle use the formula:  A = π * r^2

r is the radius that is given.

Example:  Find the area of a 5 in radius circle

A = π * (5)^2

A = 25π

A = 78.54

Hope this helps :)

Answer:

Step-by-step explanation:

The second expression 5 (x minus 3) the third 4 x + 3 y minus 15 minus 3 y + x

and there is no more

Answer:

5(x+3) 5 (x+15) Those are 2 Your welcome.! (:

Step-by-step explanation:

Answer:

-8×+1

Step-by-step explanation:

you CLT the 4 + (-3)

Answer:

-8x + 1

Step-by-step explanation:

(Not sure what you wanted it rewritten as. This is the equation in standard form).

A = 0, B = 6, C = 3, D = 6, E = 4, F = 5 and G = 1.

Solution:

Starting line is [tex]\frac{0}{6}=0[/tex].

In the number line, all the denominators are same.

If we match this to the given number line, we get

A = 0, B = 6, C = 3, D = 6, E = 4, F = 5 and G = 1.

Answer:

1/12 kg

Step-by-step explanation:

1/4(1/3)=1/12

Answer:Exact Form: 1/2

Step-by-step explanation:

Answer:

[tex]x = - 2 \: o r\: 1[/tex]

Step-by-step explanation:

We want to solve the quadratic equation:

[tex]5x + 5{x}^{2} - 10 = 0[/tex]

Rewrite in standard form to get:

[tex]5 {x}^{2} + 5x - 10 = 0[/tex]

Divide through by 5 to get;

[tex]{x}^{2} + x - 2 = 0[/tex]

Factor to get;

[tex](x + 2)(x - 1) = 0[/tex]

Apply zero product property to get:

[tex]x + 2 = 0 \: or \: x - 1 = 0[/tex]

The solutions are:

[tex]x = - 2 \: or \: x = 1[/tex]

Answer:

F= (9C+160)/5

Step-by-step explanation:

C=5(F-32)/9

make F the subject of the formula= isolate F

5(F-32)=9C

5F-160=9C

5F=9C+160

F= (9C+160)/5

check: a, b, c are all positive integers (a=9, b=160, c=5)

Answer:

9c+160/5

Step-by-step explanation:

Answer:

Parallelogram

Explanation:

Since there are four points, this is a quadrilateral.

There is a slope during the points. Therefore it could not be a rectangle nor square. The sides are still parallel though.

The length is not equal too, so it could not be a rhombus.

If you plot these points to the graph and connect them, it would form a parallelogram.

Answer:

  a parallelogram

Step-by-step explanation:

When the points are connected to form a convex polygon, that polygon is a parallelogram.

Answer:25/39

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Substitute n for 3

A(n) = 3/2(-2)^(n-1)

A(3) = 3/2(-2)^(3-1)

A(3) = 3/2(-2)²

A(3) = 3/2(4)

A(3) = 12/2

A(3) = 6

Answer:

6 is the right answer i pretty sure

Step-by-step explanation:

3/2(-2)^(n-1)

3/2(-2)^(3-1)

3/2(-2)²

3/2(4)

12/2

which then if we simplify we get

12/2=6

Check the picture below.

Answer:

PD = 12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the tangent ratio in right Δ PDW and the exact value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex], then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{WD}{PD}[/tex] = [tex]\frac{12}{PD}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

PD = 12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using similarity it can be solved as:

[tex] In\:\triangle PDW\: \& \: \triangle CTW\\\\

\angle PDW \cong \angle CTW.... (each\:90 °) \\\\

\angle PWD \cong \angle CWT... (Vertical\:\angle s) \\\\

\therefore \triangle PDW\: \sim\: \triangle CTW\\

(by \:AA\: criterion \: of\: similarity) \\\\

\therefore \frac{PW}{CW} =\frac{WD}{WT}.. (csst) \\\\

\therefore \frac{PW}{6} =\frac{12}{3}\\\\

\therefore \frac{PW}{6} =4\\\\

\therefore PW=4\times 6\\\\

\huge \red {\boxed {\therefore PW=24}} \\\\

In\:\triangle PDW\:, \angle PWD = 60°\\\\

\therefore PD =\frac {\sqrt 3}{2} \times PW\\\\

\therefore PD =\frac {\sqrt 3}{2} \times 24\\\\

\huge \orange {\boxed {\therefore PD = 12\sqrt 3\: units}} [/tex]