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PolarNik [594]
3 years ago
7

The width of a rectangle is 3 units less than the length. The area of the rectangle is 54 units. What is the length, in units, o

f the rectangle?
Mathematics
1 answer:
suter [353]3 years ago
4 0
Length=9
Below algebraically

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The second off two numberrs is 5 moree than twice the first. the sum of the numbers is 44. find the numbers
BartSMP [9]
B=2a+5 -----(1)
a+b=44----(2)

place (1) into (2)
a+(2a+5) = 44
3a+5=44
3a=39
so a= 13

then b=2(13)+5= 26+5=31

so that the two numbers are 13 and 31
7 0
4 years ago
Tell whether the ordered pair is a solution of the system of linear equations.
melamori03 [73]

Answer: No, it is not a solution. It makes the first equation true, but the second equation is false when (x,y) = (16, 1)

To check a possible solution, we replace the variable letters with their actual numbers. The given solution is (x,y) = (16,1) so x = 16 and y = 1 pair up. We'll replace x with 16, and replace y with 1.

Do so with the first equation and simplify

y = (-1/4)*x + 5

1 = (-1/4)*16 + 5

1 = -4 + 5

1 = 1 ... true

And repeat for the second equation

y = (1/6)*x - 2

1 = (1/6)*16 - 2

1 = 2.667 - 2

1 = 0.667 .... false

The equation above is false, so the original equation is false when (x,y) = (16,1). This proves the point is not on the line.

So overall, (16,1) is not a solution to the system.

5 0
3 years ago
Suppose $7,558.20 in interest was earned after $12,350 was invested at a simple interest rate of 7.65%. How long (in years) was
vladimir1956 [14]
The formula is
I=prt
I interest earned 7558.20
P principle 12350
R interest rate 0.0765
T time?
Solve the formula for t by dividing both sides by pr to get
T=I/pr
T=7,558.20÷(12,350×0.0765)
T=8 years

Hope it helps!
5 0
3 years ago
-2.5d ≥ 30 ??<br> i need help
just olya [345]

Answer:

I need more information, are we solving for D?

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
You sell instruments at a Caribbean music festival. You earn $326 by selling 12 sets of maracas, 6 sets of claves, and x
LenKa [72]
From the given photograph in the problem above, the cost of each macaras is $14, each set of clave cost $5. Lastly, each djembe drum costs $16. If we let x be the number of djembe drum sold, our equation would be,
                         326 = 12(14) + 6(5) + x(16)
Simplifying the right side of the equation,
                           326 = 198 + 16x
6 0
3 years ago
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