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Nimfa-mama [501]
3 years ago
14

Leah gets to paint her room since she bought a new bedspread set. Two gallons of paint covers 800 square feet. How many gallons

of paint will Leah need to paint her entire room, which is 1,200 square feet?
Mathematics
1 answer:
loris [4]3 years ago
4 0

Answer:

3 gallons

Step-by-step explanation:

If two gallons of paint covers 800 square feet, 'x' gallons of paints will cover 1200square feet room where x is the number of gallons needed to paint the 1200 square feet room.

Mathematically,

2 gallons = 800sq.ft

x gallons = 1,200sq.ft

x × 800 = 2 × 1200

x = 2 × 1200/800

x = 3 gallons

Therefore Leah will need 3gallons of paint for 1200sq.ft room

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In 1970, the average length of a major league baseball game was 150 minutes compared to 180 minutes in 2018. Calculate the absol
Pavlova-9 [17]

Answer:

  • 30 min
  • 20%

Step-by-step explanation:

The absolute change in game length is ...

  (180 min) -(150 min) = 30 min . . . . change in game length

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The relative change is expressed as a fraction of the original game length:

  (30 min)/(150 min) × 100% = 20% . . . . relative change in game length

6 0
3 years ago
The annual energy consumption of the town where Camilla lives in creases at a rate that is onal at any time to the energy consum
boyakko [2]

Answer:

6.575 trillion BTUs

Step-by-step explanation:

<em>Let represent the annual energy consumption of the town as E</em>

<em>The rate of annual energy consumption *  energy consumption at time past</em>

<em>dE/dt * E</em>

<em>dE/dt =K</em>

<em>k = the proportionality constant</em>

<em>c= the integration constant</em>

<em>(dE/dt=) kdt</em>

<em>lnE = kt + c</em>

<em>E(t) = e^kt+c ⇒ e^c e^kt  e^c is a constant, and e^c = E₀</em>

<em>E(t) = E₀ e^kt</em>

<em>The initial consumption of energy is E(0)=4.4TBTU</em>

<em>set t = 0 then</em>

<em>4.4 = E₀ e⇒ E₀ (1) </em>

<em>E₀ = 4.4</em>

<em>E (t) = 4.4e^kt</em>

<em>The consumption after 5 years is t = 5, e(5) = 5.5TBTU</em>

<em>so,</em>

<em>E(5) = 5.5 = 4.4e^k(5)</em>

<em>e^5k = 5/4</em>

<em>We now take the log 5kln = ln(5/4)</em>

<em>5k(1) = ln(5/4)</em>

<em>k = 1/5 ln(5/4) = 0.04463</em>

<em>We find  the town's annual energy consumption, after 9 years</em>

<em>we set t=9  </em>

<em>E(9) = 4.4e^0.04463(9)</em>

<em>= 4.4(1.494301) = 6.5749TBTUs</em>

<em>Therefore the annual energy consumption of the town after 9 years is </em>

<em>= 6.575 trillion BTUs</em>

<em />

3 0
3 years ago
Which value completes the equation?
Ivahew [28]

Step-by-step explanation:

56,000÷7=8000

56,000÷70=800

56,000÷700=80

56,000÷7000=8

7 0
3 years ago
Approximate each irrational number to the nearest thousandth. <br> ✔5<br> ✔19<br> ✔99<br> ✔42
xenn [34]

Answer:

look down

Step-by-step explanation:

the square root of 5 is : 2.2360679775

rounded to the nearest thousandth is 2.236

__________________________________

the square root of 19 is: 4.35889894354

rounded to the nearest thousandth is 4.359

__________________________________

the square root of 99 is: 9.94987437107

rounded to the nearest thousandth is 9.950

__________________________________

the square root of 42 is: 6.48074069841

rounded to the nearest thousandth is 6.481

hope this helps :)

5 0
3 years ago
Tim's phone service charges $24.93 plus an additional $0.21 for each text message sent per month. If
Nastasia [14]

Answer:

x = 24

Step-by-step explanation:

T = 24.93 + 0.21x      Substitute 30.18 for T

30.18 = 24.94 + 0.21x

-24.94  - 24.94              Subtract 24.94 from both sides

5.24 = 0.21x                   Divide both sides by 0.21

x = 24.95 ≈ 24 because you can't have a partial text message.

If this answer is correct, please make me Brainliest!

4 0
3 years ago
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