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
faltersainse [42]
3 years ago
11

A rectangular picture frame is 5 inches wide and 10 inches tall. You want to make the area 6 times as large by increasing the le

ngth and width by the same amount. Find the number of0 inches by which each dimension must be increased.
​
Mathematics
1 answer:
kap26 [50]3 years ago
8 0

Answer:

5 inches

Step-by-step explanation:

(5 + x)(10 + x) = 6x²

x² + 15x + 50 = 6x²

5x² - 15x + 50 = 0

x² - 3x + 10 = 0

(x - 5)(x + 3) = 0

x = 5, x = -3

We want x to be positive, so x = 5.

Thus, each dimension must be increased by 5 inches.

You might be interested in
A Pine tree is 180 feet tall. A redwood tree is 75% taller. How tall is the redwood tree?
uysha [10]

Answer:

Average mature trees are from 200 to 240 feet high with diameters of 10 to 15 feet at 4 feet 8 inches above the ground. Exceptional individuals sometimes reach a height of 350 feet, a diameter of over 20 feet, and an age of approximately 2000 years. Redwood leaves are green, flat, and sharp-pointed.

4 0
2 years ago
Read 2 more answers
Simplify: |3 – 8| - (12 divided by 3 + 1) to the power of 2
Harlamova29_29 [7]

Answer:

-4

Step-by-step explanation:

Assuming that the following equation is correct, begin by solving the operations within parentheses and absolute value expressions.

|3 - 8| - (\frac{12}{3+1} )^2

|-5| - (\frac{12}{4} )^2

The absolute value of -5 is 5; -5 is five units away from 0. 12/4 is equal to 3.

5 - 3^2

5 - 9 = -4

The simplified expression is equal to -4.

4 0
3 years ago
Read 2 more answers
A cone is a solid that has one circular base and only one face. true or false
bearhunter [10]
The answer for this is true 
4 0
3 years ago
Read 2 more answers
Solve the differential equation by variation of parameters, subject to the initial conditions y(0) = 1, y'(0) = 0. 36y'' − y = x
viktelen [127]
Try this solution, note, checking was not performed.

5 0
3 years ago
The population of a city is modeled by the equation P(t)=232012e0.23t where t is measure in years. If the city continues to grow
Gennadij [26K]

In around 6.35 years, the population will be 1 million.

<h3> how many years will it take for the population to reach one million?</h3>

The population is modeled by the exponential equation:

P(t) = 232,012*e^{0.23*t}

Then we just need to solve the equation for t:

P(t) = 232,012*e^{0.23*t} = 1,000,000

Let's solve that:

232,012*e^{0.23*t} = 1,000,000\\\\e^{0.23*t} = 1,000,000/232,012 = 4.31\\

If we apply the natural logarithm to both sides:

ln(e^{0.23*t}) = ln(4.31)\\\\0.23*t = ln(4.31)\\\\t = ln(4.31)/0.23 = 6.35

So in around 6.35 years, the population will be 1 million.

If you want to learn more about exponential equations:

brainly.com/question/11832081

#SPJ1

5 0
2 years ago
Other questions:
  • the chef has eight blocks of butter. she cuts the butter into fourths. how many slices of butter does the chef have now​
    6·2 answers
  • Henri surveys his 20 classmates about the number of times they go swimming per week during the summer. He finds that 6 of his cl
    10·1 answer
  • What is the midpoint of the line with endpoints (3,-2) and (-3,6)
    5·1 answer
  • Here is an equation. 2( x + 12) = 4x - 6.
    11·1 answer
  • Help if you can. Thank You.
    14·1 answer
  • A car is traveling 40 kilometers per hour. What is the speed of that car in meters per second?
    15·2 answers
  • Pls help me with this
    10·2 answers
  • PlEASE help so confused? <br><br> THANKS
    15·2 answers
  • Find the fraction form <br> percents-12 1/2,25,37 1/2,50,62 1/2,75,87 1/2
    6·2 answers
  • Solve the following equation -3x+5&lt;20
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!