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
wel
3 years ago
13

a rectangle shape whose length is 4 inches less than twice its width. the area is 30 square inches. whats the dimension

Mathematics
1 answer:
Ne4ueva [31]3 years ago
5 0
Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"

So, the length the rectangle is 2" and the width is 3"
You might be interested in
Please answer this quick
Darya [45]

(3x + 20degrees )  = 180degrees

180 degress because a stranight angle equals that

3 0
3 years ago
These ordered pairs represent a function:(0,2), (1,-1), (2,-4), (3,-7). Write a function rule (equation) to represent this funct
inna [77]

Answer:

A

Step-by-step explanation:

I included the steps in the picture I attached. lmk if you need me to explain more

6 0
3 years ago
Help me with this please ​
OleMash [197]

Answer:

x=4

Step-by-step explanation:

8 0
3 years ago
A bakery sold 119 chocolate cupcakes in a day, which was 35% of the total number of cupcakes sold that day. How many total cupca
Mashcka [7]

Answer: <em>Bakery sold 340 cupcakes</em>

Step-by-step explanation:

<em>119 ÷ 35% × 100% = 340</em>

4 0
3 years ago
The difference between the heights of your chair and your desk is -10 1/4 inches. The height of your desk is 29 3/4 inches. What
Salsk061 [2.6K]

Step-by-step explanation:

The height of your chair can be described as 29 - 10 1/4.

We can do this math mentally to get an answer of 18 3/4, or we can write this in decimal form; 18.75 inches.

The height of your chair is 18.75 inches

3 0
2 years ago
Read 2 more answers
Other questions:
  • 1. The national mean (μ) IQ score from an IQ test is 100 with a standard deviation (s) of 15. The dean of a college wants to kno
    6·1 answer
  • Math.....................
    15·2 answers
  • Can someone please help me solve 8(x-5)=8x+40 ASAP, thank you! &lt;3
    6·1 answer
  • A bank sampled its customers to determine the proportion of customers who use their debit card at least once each month. A sampl
    12·1 answer
  • In a hospital ward, there are fifteen nurses and three doctors. Nine of the nurses and one of the doctors are female. If a perso
    11·1 answer
  • For the triangle shown below, find the circumcenter and orthocenter
    5·1 answer
  • Keira bought 7 containers of gems. Each container has 24 blue gems and 32 yellow gems.
    7·2 answers
  • Rebecca has 85 ounces of soda in her refrigerator. She drinks exactly 1/5 ounces of soda everyday. At this rate, what is the max
    15·1 answer
  • NEED RN, WORTH 30! ~ please and thank you! &lt;3
    7·1 answer
  • 3. What is the converse of the following statement?If M is the midpoint of line segment PQ, then line segment PM is congruent to
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!