1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sedaia [141]
3 years ago
5

A rectangular table top has a perimeter of 24 inches and an area of 35 square inches. find its dimensions.

Mathematics
2 answers:
olga2289 [7]3 years ago
4 0
Hello : 
let : x  the lenght    y : the widith
the perimeter is ; 2(x+y)  and the area is : xy
so the system : 2(x+y) =24
                            xy  = 35  
  x+y = 12.....(1)
 xy = 35  ...(2)
 by (1) : y = 12-x
subsct in (2) : (12-x)x = 35
x²-12x+35 = 0
(x-7)(x-5) = 0
x-7=0 or x-5 = 0
x=7 or x=5
if : x=7    y = 12-7 = 5
if : x=5    y = 12-5 =7
but : x<span> <span>><span> y
</span></span></span>conclusion : one solution  (7 , 5).

The dimensions are 7 and 5 inches.
aleksandr82 [10.1K]3 years ago
3 0
7*5=35

7(2)+ 5(2)= 24

The dimensions are 7 and 5 inches.
You might be interested in
Help please...
stealth61 [152]

Answer:

1) 80%  2)25%

Step-by-step explanation:

1)80% of $2.50 = $4.50

2)25% of $9 = $2.25

  9 - 2.25 = $6.75

7 0
3 years ago
What is the distance between A and B? Round your answer to the nearest tenth.
poizon [28]
\bf ~~~~~~~~~~~~\textit{distance between 2 points}&#10;\\\\&#10;A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\qquad &#10;B(\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad &#10;%  distance value&#10;d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}&#10;\\\\\\&#10;AB=\sqrt{[4-(-1)]^2+[1-5]^2}\implies AB=\sqrt{(4+1)^2+(1-5)^2}&#10;\\\\\\&#10;AB=\sqrt{5^2+(-4)^2}\implies AB=\sqrt{41}
4 0
3 years ago
2(x+1)+3x=37 *what is x??​
irina1246 [14]

2(x+1)+3x=37

simplifythe left side:

2x +2 +3x = 37

Combine like terms:

5x +2 = 37

Subtract 2 from both sides:

5x = 35

Divide both sides by 5:

x = 7

5 0
3 years ago
Read 2 more answers
Define a function f on a set of real numbers as follows: f(x) = 3x − 1 x , for each real number x ≠ 0 Prove that f is one-to-one
dalvyx [7]

Answer with Step-by-step explanation:

We are given that

f(x)=\frac{3x-1}{x}

For each real number x\neq 0

To prove that f is one -to-one.

Proof:Let x_1 and x_2 be any nonzero real numbers such that

f(x_1)=f(x_2)

By using the definition of f to rewrite the left hand side of this equation

f(x_1)=\frac{3x_1-1}{x_1}

Then, by using the definition of f to rewrite the right hand side of this equation  of f(x_1)=f(x_2)

f(x_2)=\frac{3x_2-1}{x_2}

Equating the expression then we get

\frac{3x_1-1}{x_1}=\frac{3x_2-1}{x_2}

3x_1x_2-x_2=3x_2x_1-x_1

3x_1x_2-3x_1x_2+x_1=x_2

x_1=x_2

Therefore, f is one-to-one.

6 0
3 years ago
2 numbers are such that if 7 is added to the first number, a number twice the second number is obtained. If 20 is added to the s
Eduardwww [97]

Answer:

1st= 47/7 or 6.71

2nd= 48/7 or 6.857

Step-by-step explanation:

1st number =X and 2nd number = Y

According to question, X+7=2Y

20+Y=4X

X=2Y-7 (from 1st condition)

putting in it second

20+Y=4(2Y-7)

20+Y=8Y-28

20+28=8Y-Y

48=7Y

Y=48/7

so X=2(48/7)-7

=96-49/7

47/7

5 0
3 years ago
Other questions:
  • Answer number 32 please
    6·2 answers
  • Marketing provides a guiding philosophy for a​ company's strategic planning. This​ philosophy, known as​ __________, focuses on
    10·1 answer
  • Can y’all help me pls
    9·1 answer
  • A small town decided to get into the holiday spirit during Halloween. Every person in
    15·1 answer
  • please help me with this :( I did the first one and I’m confused on the others I’ll mark u brainliest
    5·1 answer
  • What is the length in feet of the hypotenuse x?
    10·2 answers
  • Y = (x + 2)(x − 3)<br> Find the zero of the function
    6·1 answer
  • A 56 inch of pipe is cut into two pieces. One piece is 8 inches longer than the other. How long is each piece?
    15·1 answer
  • Find the LCD for the list of rational expressions.<br> 2<br> 7x +4<br> x2 + 5x - 14' x2 + 3x – 28
    10·1 answer
  • Una bolsa contiene 3 canicas rojas, 8 azules y 10 amarillas. ¿Cuál es la razón de canicas rojas al total de canicas en su forma
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!