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
Alika [10]
3 years ago
9

A rectangular painting is to have a total area (including the frame) of 1200 cm2. If the painting is 30 cm long and 20 cm wide,

find the width of the frame
Mathematics
1 answer:
Leno4ka [110]3 years ago
3 0

Answer:

5 cm

Step-by-step explanation:

Let x = width of frame.

The width of the frame is added all around the painting, so you must add 2x to the length of the painting and 2x to the width of the painting to find the total length and width including the frame.

painting length: 30

total length: 2x + 30

painting width: 20

total width: 2x + 20

total area = LW

total area = (2x + 30)(2x + 20)

total area = 1200

(2x + 30)(2x + 20) = 1200

(x + 15)(x + 10) = 300

x^2 + 10x + 15x + 150 = 300

x^2 + 25x - 150 = 0

(x - 5)(x + 30) = 0

x - 5 = 0  or  x + 30 = 0

x = 5  or x = -30

The width of the frame cannot be a negative number, so we discard the solution x = -30.

Answer: 5 cm

You might be interested in
Brett writes a number that is the same distance from O as TO 6on a number line, but in the opposite direction. Whatnumber did Br
Gennadij [26K]

since the number is going on the opposite it must be a negative integrer.

and since the number was 6 units away from 0, it should be the half point between the points.

number = 3

since it is going in the oppsoite direction it should be -3

4 0
1 year ago
Carlos is a boat dealer who bought a sailor for 11,400 and sold it for 12,711 what percent was his markup on a boat
dangina [55]
So we have 11400 +11400×x=12711
this represents the original price plus some percentage of the original price is equal to the new price. now all we need to do is solve for x
so 11400+11400x=12711
subtract 11400 from each side
11400x=1311 now divide both sides by 11400
x=.115 or about 12%
we can. check by finding 12% of the original price.
11400×.12=1368
now add to 11400
11400+1368=12768 so we are a bit over. this is because it is actually 11.5% just depends on how accurate your answer needs to be
6 0
3 years ago
Bianca earned $399.60 after working for 18.5 hours. How much did she earn for one hour?​
Oxana [17]

Answer:

$21.6 in one hour

Step-by-step explanation:

to find one hour divide 399.60 into 18.5

8 0
3 years ago
Read 2 more answers
What is the domain of the function f(x) = square root x-9+5?
tankabanditka [31]

Answer:

sqrt x-4

Step-by-step explanation:

3 0
3 years ago
Figure LMNOPQ ≌ figure STUVWX, m∠M = 25°, m∠P = 103°, and m∠Q = 47°.<br><br> What is m∠X?
Wewaii [24]
M∠X= m∠Q Therefore the m∠X= 47°
3 0
3 years ago
Other questions:
  • Skakwlwosozizjsjsjjsks
    11·2 answers
  • If z is divisible by all the integers from 1 to 5 inclusive,what is the smallest value of z?
    11·1 answer
  • How many different arrays are possible for 7
    10·1 answer
  • 1
    12·1 answer
  • Evaluate the expression: 7 + |2 + (-5)| × |-5| - 3<br> 47<br> 20<br> 19<br> -20
    9·1 answer
  • What polynomial has roots of -6, 1, and 4 ​
    15·2 answers
  • Please help
    13·2 answers
  • Are investment funds a liability or asset?
    6·1 answer
  • 9x two the second power = 1
    15·2 answers
  • What is 63 tenths less than 8.13?​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!