All categories

3 years ago

A rectangle has a height 3z and a width of 2x-3 Express the area of the entire rectangle.

Mathematics

1 answer:

viktelen [127]3 years ago

5 0

Answer:

3z(2x - 3)

Step-by-step explanation:

Area of a rectangle, a = height * width

height, h = 3z

width, w = 2x - 3

a = 3z * (2x -3)

expand

a = 6xz - 9z

a = 3z(2x - 3)

You might be interested in

If you multiply 2/3 * 6/10, would the product be more than 6/10 or less than 6/10?

Gwar [14]

Answer:

Less than.

Step-by-step explanation:

I have included the explanation in bullet points so it is easier to understand.

We don't even need to solve the problem in order to find out.

We know that any number times one is itself
We know that any number times less than one would be less than itself.
In order to get a product more than 6/10 we would need to multiply it by something more than 1.
2/3 is not more than one, which means the product would be less than 6/10

Hope this helps!

--Appleπ101

4 0

3 years ago

)

iogann1982 [59]

Answer:

The best answer is 48 bucks my guy

7 0

3 years ago

A rectangle has an area of x square units. The rectangle is dilated to create a new rectangle with an area of 9x square units. D

Alika [10]

The reactangle has an area of x.

So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b.

So that means the side lengths are <u />a and b. And ab = x (will be using this right next).

And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:

$(y\times a)\times (y\times b)=9x$
$y^2ab=9x$
$y^2x=9x$
$y=3$

y can not equal to -3, because the length of a side of any polygon can never be negative.

So the dilation is 3.

And so if the dimension is 5 by 8.

Then the area is $5 \times 8=40$

And so then $x=40$

And then after the dilation, it would be $9x=9(40) = 360$

We could check it another way too. Since we said the scale factor is 3, then:

$( 5 \times 3) \times (8 \times 3) = 15 \times 24 = 360$

So basically 15 by 24 is the new dimensions :)

6 0

3 years ago

Denisa is saving for a new bicycle. The bicycle cost $89. So far, Denisa has earned $54 babysitting. What percent of the total c

xz_007 [3.2K]

$54/$89 means she has dared 60.6742% or you can round to 60.67%

5 0

3 years ago

Read 2 more answers

1. A company produces two types of nutritional supplements; Energize and Excel. Energize contains 26 mg of vitamin A, 42 mg of v

geniusboy [140]

Answer:

1)A) Minimize C = 40x + 100y.

2) d) 7x + 8y ≤ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.

3) B) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 17x + 25y ≥ 140, x ≥ 0, y ≥ 0.

Step-by-step explanation:

1) Energize pills cost 40 cents each, while Excel pills cost 100 cents each. If x represent the energize pills and y represent the excel pills, the objective function would be:

minimize cost = cost of energize pill + cost of excel pill

Minimize cost = 40x + 100y

2) Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce.

7 hours of assemble time to produce a mountain bike and 8 hours of assemble time to produce a racing bike. Since the company has at most 190 hours for assemble time, it can be represented as:

7x + 8y≤ 190

5 hours of mechanical tuning to produce a mountain bike and 4 hours of mechanical tuning to produce a racing bike. Since the company has at most 22 hours for mechanical tuning, it can be represented as:

5x + 4y ≤ 22

Also assemble time and mechanical time must be greater than 0, hence:

x ≥ 0, y ≥ 0

3) The fieldwork constraint can be represented as:

23x + 15y ≥ 154

The time to be spent at university research center can be represented as:

17x + 25y ≥ 140

Both fieldwork time and time spent at university research center mut be greater than 0, hence:

x ≥ 0, y≥ 0

The cost equation is:

Minimize cost = 295x + 416y

5 0

3 years ago