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ss7ja [257]
4 years ago
14

For the following system, use the second equation to make a substitution for x in the first equation. x + 2y = 7 x + 5 = 3y What

is the resulting equation? 3y - 5 - 2y = 7 3y + 5 + 2y = 7 3y - 5 + 2y = 7
Mathematics
1 answer:
ozzi4 years ago
6 0

Answer:

  3y - 5 + 2y = 7

Step-by-step explanation:

Subtracting 5 from the second equation gives ...

  x = 3y -5

Using the expression on the right for x in the first equation gives ...

  x + 2y = 7 . . . . . . . . first equation

  (3y -5) +2y = 7 . . . . with expression substituted for x

  3y - 5 + 2y = 7 . . . . with parentheses removed

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A bedroom measures 15 ft by 14 ft with a closet that measures 4 ft by 8 ft. if carpet costs $4.25 per foot, how much will it cos
Anastasy [175]
First of all, I must assume that the correct cost for carpet is $4.25 per <em><u>square</u></em> foot.
It could be $4.25 per foot if it came of a standard roll, but then I would need to know the width of the roll, which you haven't given.

Area of the room = (15-ft x 14-ft) = 210 square feet

Area of the closet = (4-ft x 8-ft) = 32 square feet

Total area = (210 + 32) = 242 square feet.

Total cost of carpet = (242 x $4.25) = <u>$1,028.50</u> plus pad and installation.
=========================================
You know what ?  I think you may have mis-copied the price of carpet altogether.
At $4.25 per square foot, that's <em><u>awfully</u></em> expensive carpet.
I suspect the actual price is $4.25 per <em>square yard</em>.  That's pretty cheap, but 
it's a lot closer to reasonable than $4.25 per square foot is ($38.25 per yd² !) 

If it's $4.25 per square yard, then we need to know that 1 square yd = 9 square ft.

The total requirement is 242/9 = 26 and 8/9 square yard, so you'll buy 27 sq yds.

$4.25 x 27 = <u>$114.75</u> plus pad and installation.  That sounds cheap but better.
7 0
3 years ago
Help I really need help plz
Digiron [165]

Hello.


Given the domain, {-5, -3, 0, 3, 11} and the range, {-4, 0, 2}, none of the answers given above fit into the given domain and range.


I think you didn't screenshot the entire question, and there might be another option. If there is, comment down below, and I'll help you! :)

7 0
4 years ago
I Mayumi hikes 3 miles in 2 hours. Edwin hikes 4 miles in
Tju [1.3M]
Mayumi hikes 3 miles in 2 hours and Edwin hikes 4 miles in 3 hours.

12 miles = 3x ————— (2 hours • X)

12/3=x—————(2x)

4=x—————(2(4))= 8hours

Mayumi walked 12 miles in 8 hours

12miles=4x————(3hours • X)

12/4=X————-(3x)

3=X————-(3(3))= 9 hours

It takes Edwin 9 hours to hike 12 miles, while it only takes mayumi 8 hours

a) Edwin takes longer to hike 12 miles

b) it takes him 1 hour longer to hike the 12 miles


3 0
3 years ago
Solving literal equations <br> Solving for y<br> -x + 3y = -6
Anna [14]

Since y is the variable, x is considered here as a constant.

Then :

-x + 3y = -6

we add x in both left side and right side of the equation :

-x + x + 3y = -6 + x

3y = -6 + x

Then we divide both side by three :

3y / 3 = (-6+x) /3

y = (-6+x)/3

y = -6/3 + x/3

y= -2 + x/3

4 0
3 years ago
In a 30° - 60° - 90° triangle, the longer leg is which of the following?
svetlana [45]
In the triangle...the length of the longer side is tan 60 multiply by the shorter leg. Tan 60 = sq root 3...thus
Longer side = sq root 3 times the length of the shorter leg
3 0
4 years ago
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