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strojnjashka [21]
3 years ago
8

if we increased one side of a square by 5 units and decreased the other by 3 units the area of the resulting rectangle would be

21 units squared greater than the area of the square how long are the sides of the original square
Mathematics
1 answer:
zvonat [6]3 years ago
3 0

Answer:

18 units

Step-by-step explanation:

So let's list out the sides.

for the first square let's just call them x

for the second square then they would be x+5 and x-3

So let's write out their areas we will cal the area of the first one z

x*x = z

(x+5)*(x-3) = z+21

since z = x^2 we can set up the second equation as a quadratic.

(x+5)*(x-3) = x^2 + 21

x^2 - 3x + 5x - 15 = x^2 + 21

But look, the x^2s cancel out

2x - 15 = 21

2x = 36

x = 18

Test it out and see if it fits the description, And if you don't understand anything just let me know so I can explain more.  

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Of fabric costs $5.00 per yard, how much will 7/8 yards cost?
Maksim231197 [3]

Answer: It would be $4.38



Step-by-step explanation: If you divide the $5 by .8 it will give you what 1/8 of it would be then you multiply it by 7 to get the 7/8 of it.


4 0
3 years ago
A cafe only sells two types of sandwiches, turkey and steak. The cafe charges $4 for turkey sandwiches and $6 for steak sandwich
valkas [14]

Answer:

513 turkey sandwiches were sold.

Step-by-step explanation:

Let's use x to represent turkey sandwiches and y to represent steak sandwiches.

x = turkey sandwiches

y = steak sandwiches

x + y = 925 total sandwiches that were sold

4x + 6y = 4524 dollars that were made

x + y = 925\\y = 925 - x

Now that we know what y (steak sandwiches) equals, we plug it in to an equation to find x.

4x + 6(925-x) = 4524\\4x + 5550 -6x=4524\\

Now, we subtract 5,550 from BOTH sides so we can get x by itself.

-2x + 5550 - 5550 = 4524 - 5550\\-2x = -1026

Next, we divide both sides by 2, so x is bare.

\frac{2x}{2} = \frac{1026}{2}

x = 513

Since x represents turkey sandwiches, we have our answer: 513 turkey sandwiches were sold.

I hope this helps! :)

3 0
3 years ago
A frog is sitting on the ground when he is scared by a big dog. His movement is
horsena [70]
1 second is the answer
7 0
3 years ago
Brainliest if correct
Darya [45]

Answer:

Multiply 4 x 2 and the add the P in the front like this:

P = 8

HOPE IT HELPS, BE SAFE :3

4 0
2 years ago
Read 2 more answers
May I also have help with this question
KATRIN_1 [288]
The independent variable (the one they want) is the # of hours worked, since that determines the price.

All the other answers contain information not included in the problem
5 0
3 years ago
Read 2 more answers
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