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
likoan [24]
3 years ago
15

When the width of a rectangle with a length of 3/5 foot was decreased by 1/3 foot, the area of the rectangle became 7/25. Find t

he original width of the rectangle.
Plz help ASAP

Mathematics
1 answer:
insens350 [35]3 years ago
5 0

Answer:

\large\boxed{\text{The original width}\ =\dfrac{4}{5}\ ft}

Step-by-step explanation:

\text{The dimensions of rectangle:}\ \dfrac{3}{5}\times w.\\\\\text{The dimensions of new rectangel:}\ \dfrac{3}{5}\times\left(w-\dfrac{1}{3}\right)\\\\\text{The area of the new rectangle:}\ A=\dfrac{7}{25}\ ft^2\\\\\text{We have the equation:}\\\\\dfrac{3}{5}\left(w-\dfrac{1}{3}\right)=\dfrac{7}{25}\qquad\text{multiply both sides by 25}\\\\25\!\!\!\!\!\diagup^5\cdot\dfrac{3}{5\!\!\!\!\diagup_1}\left(w-\dfrac{1}{3}\right)=25\!\!\!\!\!\diagup^1\cdot\dfrac{7}{25\!\!\!\!\!\diagup_1}

15\left(w-\dfrac{1}{3}\right)=7\qquad\text{use the distributive property}\\\\15w-15\!\!\!\!\!\diagup^5\cdot\dfrac{1}{3\!\!\!\!\diagup_1}=7\\\\15w-5=7\qquad\text{add 5 to both sides}\\\\15w=12\qquad\text{divide both sides by 15}\\\\w=\dfrac{12:3}{15:3}\\\\w=\dfrac{4}{5}

You might be interested in
Jen cut a piece of paper in half and threw away one half. She cut the remaining paper in half and threw away one half. She conti
MrMuchimi
1 cut- 1/2
2 cuts- 1/4
3 cuts- 1/8
4 cuts- 1/16
5 cuts-1/32
So 5 cuts
7 0
3 years ago
A health insurance payment of 34.55 was deducted fromms Donaldsons earnings for the week. after the insurance deduction payroll
Nana76 [90]
The correct answer for the question that is being presented above is this one: "628.24." A health insurance payment of 34.55 was deducted fromms Donaldsons earnings for the week. after the insurance deduction payroll taxes equal to 28% of the balance were deducted. The total amount she received is <span>628.24.</span>
7 0
3 years ago
A 5-lb. force acting in the direction of (5,-3) moves an object just over 12 ft. from point (0,6) to (7,-4). Find the work done
snow_lady [41]
Magnitude of force= |F|= 5 lb
In the direction of vector,let say M=5i-3j
As, we know that vector consists of magnitude and direction( unit vector)
                                        F=|F| M(unit vector).........1
In order to find the unit vector, divide the vector M by its magnitude.
M(unit vector)=(5i-3j)/√34
Now, the eq. 1 becomes
                                        F=5(5i-3j)/√34
                                        F=(25i-15j)/√34
As, the object moves from point let say P=0i+6j to Q=7i-4j
so,
                                   PQ=Q-P 
                                        =(7-0)i+(-4-6)j
                                        =7i - 10j
So,
                                  W= F.PQ
                                      
=((25i-15j)/√34).(7i-10j)
                                      =(7*25/√34)+(-10*-15/√34)
                                      =55.7 lb*ft
                                      =56 lb*ft
Option C is correct
4 0
3 years ago
Write exponential equation for geometric sequence where t(1)=140 and t(2)=98
ser-zykov [4K]

Step-by-step explanation:

common ratio r = 98/140

first term a = 140

geometric sequence formula is an = ar^(n-1)

an = 98^(n-1)

where n is the number of terms in the sequence

4 0
3 years ago
A pyramid has a square base with sides of length s. The height of the pyramid is eqaul to 1/2 of the length of a side base. Whic
Paha777 [63]
A\ volume\ of\ a\ square\ pyramid:\\\\V=\dfrac{1}{3}a^2H\\\\a-length\ of\ a\ side\ of\ a\ base\\H-a\ height\ of\ a\ pyramid\\-------------------\\a=s;\ H=\dfrac{1}{2}s\\\\subtitute\\\\V=\dfrac{1}{3}s^2\cdot\dfrac{1}{2}s=\dfrac{1}{6}s^3\\\\\boxed{V=\frac{1}{6}s^3}\to\fbox{B.}
8 0
3 years ago
Other questions:
  • It’s easy help again
    8·2 answers
  • The Gilberts are designing a rectangular patio. The patio has an area of 432 square feet. The width of the patio is its length.
    15·1 answer
  • Can some one help <br> pleassse
    14·2 answers
  • What is the value of logo^6 1/36?
    7·1 answer
  • Subtract 3x^2 + 8x from -9x^2 +3x -8
    5·1 answer
  • I need to know what the statement means , plz help !
    7·1 answer
  • Angus decided to invest $10,000 into a savings account. If this account earns 2.6% annually, how much money would Angus have ear
    14·2 answers
  • Write the value of ten nickels as a decimal.<br> pls thx :)
    9·2 answers
  • A total of 356 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student t
    15·1 answer
  • What is a name for the marked angle?<br><br><br> Choose 1 answer:
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!