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
VMariaS [17]
2 years ago
10

ALGEBRAIC PROOF!!!! PLS HELP!!! The area of a rectangular blanket is 20 square feet. The blanket's length is (2x + 1) ft and the

blanket's width is 2x ft. find the dimensions of the blanket. provide justification for each step.
Mathematics
1 answer:
Fynjy0 [20]2 years ago
7 0

Answer:

Length: 5 ft; width: 4 ft.

Step-by-step explanation:

A = LW     formula for area of rectangle

(2x + 1)(2x) = 20      substitute length, width, and area into formula

4x² + 2x - 20 = 0      use the distributive property to multiply out left side

2x² + x - 10 = 0         divide both sides of equation by 2

(2x + 5)(x - 2) = 0        factor out trinomial

2x + 5 = 0  or  x - 2 = 0        use zero product rule to solve for x

2x = -5  or x = 2       subtract 5 from both sides; add 2 to both sides

x = -5/2  or  x = 2

We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.

Length: 2x + 1 = 2(2) + 1 = 5

Width: 2x = 2(2) = 4

Length: 5 ft; width: 4 ft.

You might be interested in
Question 6 of 10 Multiple Choice: Please select the best answer and click "submit." What is the greatest number of acute angles
gavmur [86]
2. it can't have three because one of them is a right triangle do D doesn't add up. It can't have 0 because an obtuse angle plus a right angle would go over 180 degrees. So, the most it can have is 2 acute for example 90(right angle) 30(acute) and 60 (acute) is a possible answer. Also, a right angle can only have two acute angles since an obtuse angle would put it over 180 which was already stated
3 0
2 years ago
Carter has 37 coins, all nickels and dimes in his piggy bank. The value of the coins is $3.10. How many dimes does Carter have?
Sergio039 [100]
Carter has 25 dimes. He has 12 nickels.
3 0
2 years ago
A manufacturing company with 450 employees begins a new product line and must increase their number buy 18% how many total emplo
Soloha48 [4]

Answer:

After increasing their employees by 18% they will now have 531 total employees.

Step-by-step explanation:

0.18 x 450 = 81

81 + 450 = 531

7 0
2 years ago
Henry is mixing concrete. To make concrete he needs to mix cement, sand and gravel in the ratio 1 : 4 : 7 by weight. Henry needs
jolli1 [7]

Answer:

Henry is short of gravel

Step-by-step explanation:

Here, we are to identify which of the ingredients Henry is short of.

To identify this ingredient, what is needed to be done is to share the 180kg of concrete appropriately to get which of the material does not meet its ratio and thus allowing us know which is insufficient.

The total ratio is 1 + 4 + 7 = 12

For cement, we have ;

1/12 * 180 = 15 kg

For sand, we have

4/12 * 180 = 60kg

For gravel, we have

7/12 * 180 = 105 kg

From the values in the question, we can see that all the values we have are greater what is shared in the ratio except in the case of gravel. So we can confidently say he is short of gravel

8 0
2 years ago
the line x=3 is the axis of symmetry for the graph of a parabola. if the parabola contains the points (5,-3) and (4,9), what is
OLEGan [10]

a.  How many floors are between the seventh and fifteenth floors?

4 0
2 years ago
Other questions:
  • Use numerals instead of words. If necessary, use / for the fraction bar(s). A parabola is given by the equation y = x2 + 4x + 4.
    6·1 answer
  • Convert 2.5 to a fraction in simplest form
    11·1 answer
  • Test the hypothesis that the average content of containers of a particular lubricant is 10.110.1 liters if the contents of a ran
    12·1 answer
  • On a sunny day, a 6-foot red kangaroo casts a shadow that is 7 feet long. the shadow of a nearby eucalyptus tree is 42 feet long
    15·1 answer
  • A pay phone at a shopping mall charges $0.68 for the first four minutes and $0.21 for each extra minute (or part of a minute).
    15·1 answer
  • Can y’all please help me
    14·1 answer
  • What is the equation of the line that is perpendicular to the line 5x - 3y = 2 and passes through the point (-1.3)?​
    13·1 answer
  • Just by looking at the question x + 6 + 2x = 2x + 6 + 4 so what does x equal and why?
    9·1 answer
  • Freeeee points.heehehe<br>​
    14·2 answers
  • Find the least common denominator (LCD) of
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!