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
Fudgin [204]
3 years ago
5

A rectangle has a a width of 9 inches the area is 648 inches what is the length of the rectangle

Mathematics
1 answer:
yuradex [85]3 years ago
5 0
The formula for a rectangle is length*width=area. Since we know the area and the width, we plug it in to the formula, we get length*9=648. 
l*9=648 is equivalent to l=648/9. Now we solve <span>l=648/9 and get l=72. SO the width is 72 inches. </span>
You might be interested in
Country days scholarship rounds receive a gift of $135000. The money is invested in stock, bonds, and CDs. CDs pay 2.75% interes
Vsevolod [243]

Answer:

  • CDs — $10,000
  • bonds — $80,000
  • stocks — $45,000

Step-by-step explanation:

Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:

  c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested

  0.0275c +.045b +0.104s = 8555 . . . . . total income earned

  -c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs

Using the third equation to write an expression for b, we can substitute into the other two equations.

  b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b

  c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation

  2c +s = 65000 . . . . . . . . . . . . . . . . [eq4] simplify

  .0275c +.045(70000 +c) +.104s = 8555 . . . . . substitute for b in 2nd eqn

  .0725c +.104s = 5405 . . . . . . . . . . [eq5] simplify

Using [eq4], we can write an expression for s that can be substituted into [eq5].

  s = 65000 -2c . . . . . . . expression we can substitute for s

  0.0725c +0.104(65000 -2c) = 5405

  -0.1355c = -1355 . . . . . . . . . . . . . . . . . . . . subtract 6760, simplify

  c = 1355/.1355 = 10,000

  s = 65000 -2×10000 = 45,000

  b = 70000 +10000 = 80,000

The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.

_____

Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...

\left[\begin{array}{ccc|c}1&1&1&135000\\0.0275&0.045&0.104&8555\\-1&1&0&70000\end{array}\right]

6 0
3 years ago
Classify the polynomial according to its degree and number of terms 3x^2+8x​
Sunny_sXe [5.5K]

Answer:

Classifying Polynomials

Polynomials can be classified two different ways - by the number of terms and by their degree.

1. Number of terms.

A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.

A binomial has two terms. For example: 5x2 -4x

A trinomial has three terms. For example: 3y2+5y-2

Any polynomial with four or more terms is just called a polynomial. For example: 2y5+ 7y3- 5y2+9y-2

Practice classifying these polynomials by the number of terms:

1. 5y

2. 3x2-3x+1

3. 5y-10

4. 8xy

5. 3x4+x2-5x+9

Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial

2. Degree. The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

Examples:

5x2-2x+1 The highest exponent is the 2 so this is a 2nd degree trinomial.

3x4+4x2The highest exponent is the 4 so this is a 4th degree binomial.

8x-1 While it appears there is no exponent, the x has an understood exponent of 1; therefore, this is a 1st degree binomial.

5 There is no variable at all. Therefore, this is a 0 degree monomial. It is 0 degree because x0=1. So technically, 5 could be written as 5x0.

3x2y5 Since both variables are part of the same term, we must add their exponents together to determine the degree. 2+5=7 so this is a 7th degree monomial.

Classify these polynomials by their degree.

1.7x3+52+1

2.6y5+9y2-3y+8

3.8x-4

4.9x2y+3

5.12x2

Answers 1) 3rd degree 2) 5th degree 3) 1st degree 4) 3rd degree 5) 2nd degree

6 0
3 years ago
Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel. How old is Daniel now
matrenka [14]
<span>K = 3D. K - 4 = 5(D - 4). K - 4 = 5D - 20. K = 5D - 16. 3D = 5D - 16. 16 = 2D. D = 8. K = 3 x 8. K = 24.</span>
7 0
3 years ago
An analysis was done to predict log(price) of homes in Gainesville during Spring 2019 based on number of beds and baths along wi
Alisiya [41]

Answer:

Since coefficient for northwest is - 66.21,

The price of home in north west are 66.21 dollars, lower than elsewhere in the town, for the given number of beds and baths.

7 0
3 years ago
Help please?????? I neeeeedc helppp
Sav [38]
Area of rectange = 5 x 8 = 40
area of green triangle = 1/2(8)(1) = 4
area of yellow triangle = 1/2(4)(8) = 16
area of blue triangle = 40 - (4+16) = 40 - 20 = 20

answer
C. 20

7 0
3 years ago
Read 2 more answers
Other questions:
  • How do you do this in simplest form
    10·1 answer
  • A city zoo builds an enclosure for birds in the shape of a cone with the dimensions shown. There are 42 birds contained in the e
    10·2 answers
  • Lead has a density of 11.36 grams per cubic centimeter. Iron has a density of 7.87 grams per cubic centimeter. A rectangular pri
    11·1 answer
  • if you divide a positive number by 12, the answer would be less than the original number? always, sometimes, or never​
    15·1 answer
  • Working together, Tyler and Evan painted a fence in 8 hours. If it takes Tyler 12 hours less than it takes Evan to paint the fen
    13·1 answer
  • a container for a hanging plant is a half sphere with a diameter of 9 inches. about how much soil does the container hold
    14·2 answers
  • Solve for x.​
    6·1 answer
  • Rectangle N NN has an area of 5 55 square units. James drew a scaled version of Rectangle N NN and labeled it Rectangle P PP. Re
    6·1 answer
  • Can someone pls help me with this?
    14·1 answer
  • Help Pls I cant do it Its due today
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!