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
Sholpan [36]
2 years ago
8

The length of a standard jewel case is 7cm more than its width. The area of the rectangular top of the case is 294 cm^2. Find th

e length and width of the jewel case.
Mathematics
1 answer:
storchak [24]2 years ago
3 0

Answer:

Length = 21 cm

Width = 14 cm

Step-by-step explanation:

Let the width of the jewel case = m cm

So, the length of the case = (m + 7) cm

Area of the case = 294cm^{2}

Now, Area of a Rectangle = Length x Width

=   m x (m + 7)

⇒  m x (m + 7) = 294

or, m^{2}  + 7m - 294 = 0

⇒  m^{2}  + 21m  - 14m - 294 = 0

or, m(m+21) -14( m + 21)

⇒(m + 21)(m -14) = 0

Hence, either (m + 21) = 0  ⇒ m  = -21

or, (m -14) = 0⇒ m = 14

Since, m is the width of a case, so it can not be negative

Hence the width of the jewel case = m = 14 cm

And the length of the case = (m + 7) = 14 + 7 = 21 cm

You might be interested in
Select the two values of x that are roots of this equation.<br> 2x2 + 11x - 6 = 0
sukhopar [10]

Answer:

2×2 +11x - 6 =0

4 + 11x - 6 = 0

11x - 6 =4

-6 + 4 = 11x

-2 = 11x

X =11/2

X =5.2

8 0
2 years ago
PLEASE ANSWER!!!! 60 POINTS!!!!!
SpyIntel [72]

2. Distributive Property

4 is distributed and multiplied inside the parenthesis to x and -5.


4. Subtraction Property of Equality

x is subtracted from both sides of the equation.

4x - x - 22 = x - x + 3

3x - 22 = 3


5. Subtraction Property of Equality

22 is added to both sides of the equation.

3x - 22 + 22 = 3 + 22

3x = 25


6. Division Property of Equality

3 is divided from both sides of the equation.

\frac{3x}{3} = \frac{25}{3}

x = \frac{25}{3}

7 0
3 years ago
Read 2 more answers
What is the fourth term in the binomial expansion (a+b)^6)
Dafna11 [192]

Answer:

20a^3b^3

Step-by-step explanation:

<u>Binomial Series</u>

(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example:  4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3

\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3

\implies \dfrac{6!}{3!3!}a^{3}b^3

\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3

\implies \left(\dfrac{120}{6}\right)a^{3}b^3

\implies 20a^3b^3

7 0
2 years ago
Please help me somebody! &lt;3
Misha Larkins [42]
I believe it would be -17m-4/8
8 0
3 years ago
Read 2 more answers
Please please help im confused again
timama [110]

Answer:

A_s=179  \ yd

Step-by-step explanation:

Area of Circle can be calculated using following formula

A=\pi r^{2}

Where r is radius of circle

<u>Area of outer circle (r=11 yd)</u>

A_1=\pi (11)^{2}\\A_1=379.94 \ yd

<u>Area of inner circle (r=8 yd)</u>

A_2=\pi (8)^{2}\\A_2=200.96 \ yd

Area of shaded region

A_s=A_1-A_2

A_s=379.94-200.96\\A_s=179  \ yd

3 0
3 years ago
Other questions:
  • What is the square root of -1?
    5·2 answers
  • Ms more wrote the following on the blackboard and asked her students to write it in fraction form:
    8·1 answer
  • Reagan surveyed a number of her classmates about what time they usually go to bed. Of the fifteen classmates she asked, nine sai
    6·1 answer
  • Jerome bought a sweater that was on sale for 20 percent off. Jerome paid $25.10 for the sweater, including sales tax of 8.25 per
    8·1 answer
  • Woke out the following giving your answers in their simplest form 3/11÷3/11<br><br><br>​
    12·1 answer
  • Find the surface area of the composite figure.
    10·1 answer
  • YeOOoOoOOoOoOooOoOOOoOOoooooOoOOOooO,
    5·1 answer
  • Write an equation of the line below.
    13·2 answers
  • 2(4+2x) more then or equal to 5x+5
    11·1 answer
  • Can someone help me out please ?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!