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
Alexeev081 [22]
3 years ago
6

The length of a rectangle is 3 inches more than three times the width. The perimeter is 62 inches. Find the length and width.

Mathematics
1 answer:
IRISSAK [1]3 years ago
4 0

Answer:

length= 24 inches

width= 7 inches

Step-by-step explanation:

Start by writing down what you know.

width= w

length= 3w+3

Then, we can substitute into the perimeter of a rectangle equation, P=2l+2w.

62= 2(3w+3) + 2(w)

62=6w+6+2w

62=8w+6

56=8w

7=w

Now, plug this into our original equations for length and width:

width=7

length= 3(7)+3, so 24

You might be interested in
The fish population in a certain lake rises and falls according to the formula F = 3000(23 + 11t − t2). Here F is the number of
Gemiola [76]

Answer:

a) On January 1, 2017 the fish population will be the same as the initial population.

b) On September 18th, 2018 the fish population will be zero.

Step-by-step explanation:

Hi there!

a) First, let´s write the function:

F(t) = 3000(23 + 11t − t²)

The population on January 1, 2006 is the population at t = 0. Then:

F(0) = 3000(23 + 11· 0 - 0²)

F(0) = 3000 · 23 = 69000

This will be the population every time at which t² - 11t = 0. Then let´s find the other value of t (besides t = 0) that makes that expression to be zero:

t² - 11t = 0

t(t - 11) = 0

t = 0

and

t - 11 = 0

t = 11

On January 1, 2017 (2006 + 11), the fish population will be the same as the initial population.

b) We have to obtain the value of t at which F(t) = 0

F(t) = 3000(23 + 11t − t²)

0 = 3000(23 + 11t − t²)

divide both sides of the equation by 3000

0 = 23 + 11t − t²

Let´s solve this quadratic equation using the quadratic formula:

a = -1

b = 11

c = 23

x = [-b ± √(b² - 4ac)] / 2a

x = 12.8  ( the other value of x is negative and therefore discarded).

After 12.8 years all the fish in the lake will have died.

If 1 year is 12 months, 0.8 years will be:

0.8 years · 12 months/year = 9.6 months

If 1 month is 30 days, 0.6 month will be:

0.6 month · 30 days / month = 18 days

All the fish will have died after 12 years, 9 months and 18 days from January 1, 2006. That is, on September 18th, 2018.

7 0
3 years ago
What percent is 680 of 2300
Usimov [2.4K]
29.5652% please give brainlest
8 0
3 years ago
Read 2 more answers
If four times the sum of a number and 3 is divided by 2, the quotient is 0: find the number
AveGali [126]

The other number is -3.

Step-by-step explanation:

Step 1; First we develop formulae for the given information. A number is added with 3 and the resulting sum is multiplied by 4. This number is then divided by 2 and the quotient is 0. Assume the unknown number is x, then the given information is as follows

The quotient of \frac{4(x+3)}{2} is 0. So \frac{4(x+3)}{2} = 0.

Step 2; Now we solve the above equation. The denominator is taken to the RHS and the RHS remains zero.

\frac{4(x+3)}{2} = 0, 4(x+3)= 0, 4x+ 12 = 0, 4x = -12, x = \frac{-12}{4} = -3.

So the other number is -3.

3 0
3 years ago
Choose all the factors of 12. (Check all that apply.)
SSSSS [86.1K]
ANSWER: 1,2,3,4,6,12
EXPLANATION: When a question asks you the factors of a number it is basically just asking you what number are in the multiplication of 12. The numbers all tie in with the number 12 when they are multiplied
EX:
-1 * 12 = 12
-2*6=12
-3*4=12
-6*2=12

7 0
3 years ago
Read 2 more answers
stacy buys 3 cds in a set for $29.98. She save $6.44 by buying the set instead of buying the individual cds. if each cd costs th
Natalka [10]
29.98+ 6.44 = 36.42 (cost with out the discount)
36.42/3 = 12.14

Answer-
12.14
4 0
3 years ago
Read 2 more answers
Other questions:
  • write in graphing form please! A parabola that opens down with no stretch factor that has a vertex of (-6,5)
    9·1 answer
  • Suppose that you wanted to predict the price of a house based on where the house was located (northeast, northwest, southeast, o
    7·1 answer
  • Please help me, solve for y 2x-y=5
    11·1 answer
  • 5(x+4)+10-2x+3(2x+9)
    15·1 answer
  • A 32​-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first​ piece, and the third
    14·1 answer
  • HELP PLEASE
    9·1 answer
  • Pleaseee help I will give you all my points
    14·1 answer
  • PLEASE HELP,, MARKING BRAINLIEST!!!<br><br> Solve for the value of x.
    12·1 answer
  • JERMEY had 36 community concerts to sell he sold 2/3 of the tickets how many tickets did he sell
    9·1 answer
  • Which of the following is equivalent to<br> (16 3/2)^1/2 ?<br><br> O 6<br> O 8 <br> O 12<br> O 64
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!