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Use additive inverses and their properties to find the equivalent expressions.

Answer:

a) 2/5 x 900 = 360 hectares

b) 3/5th

c) 3/5 x 900 = 540

540 - 360 = 180

Farmer Richards needs to bring another 180 hectares under cultivation.

Answer:

≈ 7 hours

Step-by-step explanation:

Maria can do full job in 13 hours,

she can do 1/13 part of job in one hour

Felipe can do full job in 15 hours,

he can do 1/15 part of job in 1 hour

Together they can do:

to complete full job they need:

Answer:

7 hr 10 min 12 seconds

Step-by-step explanation:

Maria, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a new clerk, needs 16 hours to do the same job. Working together, how long will it take them to fill the order?

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

Maria rate = 1/13 job/hr

-----

Felipe rate = 1/16 job/hr

----

Together rate = 1/x job/hr

-------

Equation:

rate + rate = Together rate

1/13 + 1/16 = 1/x

----

16x + 13x = 13*16

------

29x = 13*16

Answer:

(-4, 2)

Step-by-step explanation:

By looking at the graph, the solution to the system of linear equations will always be where they intercept. If they both are the same line it means that there are infinite solutions, and if they don't intercept at all, that means there are no solutions.

Answer:

the formula is V=BH

Step-by-step explanation:

if the prism is rectangular prism : it has three dimensions then V=length * height * width

V= L*H*W or V= base*H

or V=BH

in your question it does not show V=BH maybe it is misprint

The volume of the prism is V = Bh , where B is the base area and h is the height of the prism

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

Identify the shape of the base of the prism: The base of the prism can be any polygon, such as a triangle, rectangle, or hexagon. It is important to identify the shape of the base because the formula for calculating the area of the base will depend on the shape.

Calculate the area of the base: Once the shape of the base has been identified, calculate the area of the base using the appropriate formula. For example, if the base is a rectangle, the area would be calculated as length x width.

Multiply the area of the base by the height of the prism: Once the area of the base has been calculated, multiply it by the height of the prism to get the volume. The height is the perpendicular distance between the two parallel bases of the prism.

Hence , by following these three steps, you can calculate the volume of a prism regardless of its shape, as long as you can identify the shape of the base and calculate its area.

To learn more about volume of prism click :

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Answer:

12 units

Step-by-step explanation:

distance formula

Answer:

f(t) = $67000(.30)^t          (Must use " ^ " to indicate exponentiation)

Step-by-step explanation:

This is an exponential function:

f(t) = $67000(.30)^t  (Must use " ^ " to indicate exponentiation)

Answer:

y=4x-31

Step-by-step explanation:

Ignore the hint. Point slope form makes everything so much harder than it has to be.

Parallel lines always have the same slope, in this case 4.

So our equation is now: y = 4x + b

Let's solve for b by plugging in (5, -11), as it's the only point we know is on the parallel line.

-11 = 4(5) + b

-11-20 = b

b = -31

So plug in b: y = 4x - 31

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

Also rate and tell me if I'm correct :)

Answer:

y = -4x + 15.

Step-by-step explanation:

To find the equation of a line perpendicular to y = -2 and passing through the point (4, -1), we can use the point-slope form of a linear equation.

The given line y = -2 has a constant slope of 0 since there is no variable term involving x. A line perpendicular to it will have an undefined slope.

Using the point-slope form, we have:

y - y₁ = m(x - x₁),

where (x₁, y₁) represents the coordinates of the given point (4, -1), and m represents the slope.

Since the slope is undefined, the equation becomes:

y - (-1) = undefined(x - 4).

Simplifying:

y + 1 = undefined(x - 4).

Now, we can write the equation in slope-intercept form by substituting the slope as -4 (the negative reciprocal of 0):

y + 1 = -4(x - 4).

Expanding the right side:

y + 1 = -4x + 16.

To isolate y, we can subtract 1 from both sides:

y = -4x + 16 - 1.

Combining the constants:

y = -4x + 15.

Therefore, the equation of the perpendicular line is:

y = -4x + 15.

Answer:

30 days

Step-by-step explanation:

There are 6 * 7 = 42 days in 6 weeks.

There are 2 * 6 = 12 weekends in 6 weeks.

42 - 12 = 30

Answer:

30 days

Step-by-step explanation:

Answer:

X=(9,0)

Y=(0,-6)

Answer:

x=3,y=-1 or (3,-1) The answer is D

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

Just move the decimal 2 spaces to the right .03 becomes 3% :)

Answer:

it is C. An = 2(2)^n

Step-by-step explanation:

Answer:it is C. An = 2(2)^n

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Data

Given that A, B, and C are collinear points and B is between A and C, then the addition of the measure of segments AB and BC must be equal to the measure of segment AC, that is:

AB + BC = AC

Replacing with data:

2x + (x - 2) = 28

3x - 2 = 28

3x = 28 + 2

x = 30/3

x = 10

Answer:

D) 5

Step-by-step explanation:

The smaller triangle is similar to the big triangle with the big triangle with a scale factor of 1.8.

5x × 1.8 = 45

Divide both sides by 1.8

5x = 25

Divide both sides by 5

x = 5

Answer:

4) 8^14

7) h^7

10) 29^8 over 10^8

Step-by-step explanation:

If the numbers have the same base, just add their exponents together. So 10 plus 4 is 14.

Same thing for the second problem, since you have the same base, just add the exponents together. 6 plus 1 is 7

The bases are the same so just add the exponents, 7 plus one is 8.

(-2.9)^8

Convert it into a fraction: -(29/10)^8

Raise the fraction to the power (8) and the numerator and denominator to that power: 29^8/10^8

Hope this helps :)

8¹⁴

Step-by-step explanation:

4.) 8¹⁰×8⁴

=8 to the power (10+4)

=8¹⁴

7.) h⁶xh¹

=h to the power (6+1)

=h^7

10.) (-2.9)^1×(-2.9)^7

=(-2.9)^7+1

=(-2.9)^8

Answer:

b

Step-by-step explanation:

Work Shown:

sec(80) = 1/cos(80) = 5.75877048314363 which rounds to 5.76

Make sure your calculator is in degree mode.

Answer:

There is no explanation so I guess 1 to 1?

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

f(x)=5x+40

so f(5)=5(-5)+40

f(5)= -25+40

f(5)=15

4 1/2 times 2 3/4 does not equals to 11 11/48.

It actually equals to 12 3/8

hope it helps

Good luck on your assignment

Answer:

The correct answer is

[tex] = 12 \frac{2}{8} \\ = 12 \frac{1}{4} \\ [/tex]

Step-by-step explanation:

[tex]4 \frac{1}{2} \times 2 \frac{3}{4} \\ \frac{9}{2} \times \frac{11}{4} \\ = \frac{99}{8} \\ = 12 \frac{2}{8} \\ = 12 \frac{1}{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Part A -  0.90(x + y) = 90 Part B - Pencils

Answer:

1) False

2) True

3) False

4) True

5) True

6) False

7) True

8) True

Answer:

The electron configuration of an element describes how electrons are distributed in its atomic orbitals. Electron configurations of atoms follow a standard notation in which all electron-containing atomic subshells (with the number of electrons they hold written in superscript) are placed in a sequence. For example, the electron configuration of sodium is 1s22s22p63s1.

Step-by-step explanation:

This Is A Linear Graph Because Quadratic Graphs Are Curved

Answer: n = 42

Step-by-step explanation:

56 - 14 = 42

If + and - are right next to each other, the + cancels out.

Answer:

i agree with Thetides5 the answer is n=42

Step-by-step explanation:

plz give me a brainliest i been working so hard to get a brainliest but no one has give me me one so plz can u give me one??? And hope this helps :D

Answer:

The sequence is an arithmetic sequence.

Common difference = 0.6

Step-by-step explanation:

Given

-2.8, -2.2, -1.6, -1.0

Required

State if it's an arithmetic progression

Also state its common difference

To know if a sequence is arithmetic or not, we simply check for common difference

Common difference is calculated by subtracting a lower term with its immediate higher time;

In other words

[tex]Common difference = T_2 - T_1 = T_3 - T_2 = T_4 - T_3 = ......[/tex]

Where T represent Term and the number represent their positions;

So, from the given above

[tex]T_1 = -2.8\\T_2 = -2.2\\T_3 = -1.6\\T_4 = -1.0[/tex]

Calculating [tex]T_2 - T_1[/tex]

[tex]T2 - T1 = -2.2 - (-2.8)\\T2 - T1 = -2.2 + 2.8\\T2 - T1 = 0.6\\[/tex]

Calculating [tex]T_3 - T_2[/tex]

[tex]T_3 - T_2 = -1.6 - (-2.2)\\T_3 - T_2 = -1.6 + 2.2\\T_3 - T_2 = 0.6[/tex]

Calculating [tex]T_4 - T_3[/tex]

[tex]T_4 - T_3 = -1.0 - (-1.6)\\T_4 - T_3 = -1.0 + 1.6\\T_4 - T_3 = 0.6[/tex]

Notice that all the above workings gave the same result;

This shows that the sequence is an arithmetic sequence.

The result of each workings above is the common difference

Common difference = 0.6

Answer:

C. 58 tables

Step-by-step explanation:

If there are 460 people, and each table seats 8 people, then we divide 460 by 8, giving us 57.5 tables. We cannot have a half of a table, so the answer is 58 tables.

Answer:

D i think

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

There are 4 equal sized sections, and 2 sections that are twice the size of the others ( 2*2=4), for a total of 8 sections

The section with a 6 in it is a double size section so it counts as 2 sections

P(6) =number of sections with a 6/ total sections

       =2/8

       =1/4

Answer:

1/4

Step-by-step explanation:

A