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zloy xaker [14]
3 years ago
6

The length of a rectangle is 3 cm greater than it's width. The area of the rectangle is 40 cm². Find the length and width of the

rectangle.

Mathematics
1 answer:
ki77a [65]3 years ago
4 0
I hope this helps you

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Two ways to solve -2(4x+3)=12x-6
olasank [31]

Answer:

\huge\boxed{x=0}

Step-by-step explanation:

-2(4x+3)=12x-6\qquad\text{divide both sides by (-2)}\\\\4x+3=-6x+3\qquad\text{subtract 3 from both sides}\\\\4x=-6x\qquad\text{add}\ 6x\ \text{to both sides}\\\\10x=0\qquad\text{divide both sides by 10}\\\\\boxed{x=0}\\\\=================================

-2(4x+3)=12x-6\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(-2)(4x)+(-2)(3)=12x-6\\\\-8x-6=12x-6\qquad\text{add 6 to both sides}\\\\-8x=12x\qquad\text{subtract}\ 12x\ \text{from both sides}\\\\-20x=0\qquad\text{divide both sides by}\ (-20)\\\\\boxed{x=0}

4 0
3 years ago
Liz earns a salary of $2,100 per month, plus a commission of 5% of her sales. She wants to earn at least $2,400 this month. How
Nookie1986 [14]
Hello! She earns a salary of $2,100, which is the fixed amount each month, plus 5% commission on her sales. To find out the amount of sales that will help her reach her goal, set up the inequality like this:

2,100 + 0.05x ≥ 2,400

We set it up like this, because $2,100 is the one-time price per month, and she earns 5% of her sales as commission. Plus, the key words "at least" means the inequality sign is greater than or equal to (≥)

How to solve this:

First off, subtract 2,100 from both sides, when you do, you get 0.05x ≥ 300. Now, divide each side by 0.05 to isolate the "x". 300/0.05 is 6,000. Let's check this. 6,000 * 5% (0.05) is 300. There. x = 6,000. Liz will need to sell $6,000 worth of items this month in order to meet her goal.
7 0
3 years ago
One number is three more than the other. their sum is thirty three. find the numbers
adell [148]
The numbers are 15,18
They add to 33 and a difference of 3
3 0
3 years ago
The diagram shows a cube with sides of length 8 meters. A smaller cube with
Tanya [424]

Answer:

a) 512 cm^3

b) 469.125 cm^3

Step-by-step explanation:

8*8*8 = 512 cm^3

or

8^3 = 512 cm^3

3.5^3 = 42.875

512 - 42.875 = 469.125 cm^3

You can round the second answer down

5 0
2 years ago
For the values a=8 which is a leg of a right triangle and value c=19 which is the hypotenuse find the length of the other leg b
FinnZ [79.3K]
C^2=a^2+b^2  we are given the hypotenuse of 19 units and one leg of 8 units so:

19^2=8^2+b^2

361=64+b^2

b^2=297

b=√297

b≈17.2 to the nearest tenth


4 0
3 years ago
Read 2 more answers
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