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
spayn [35]
3 years ago
9

The battery on McKenzies old computer can last 4(1/5) hours. She bought a new computer that has a battery that can last 40% long

er. How long can the battery last on McKenzie’s new computer last?
Can you please help me with this ASAP.

Mathematics
1 answer:
Solnce55 [7]3 years ago
4 0

Answer:

5\frac{22}{25}\ hours

Step-by-step explanation:

we know that

4\frac{1}{5}\ hours=\frac{4*5+1}{5}=\frac{21}{5}\ hours

100\%+40\%=140\%=\frac{140}{100}

Let

x ------> new battery life

The equation that represent this situation is

x=\frac{140}{100} (\frac{21}{5})=\frac{2,940}{500}\ hours

convert to mixed number

\frac{2,940}{500}=\frac{2,500}{500}+\frac{440}{500}=5\frac{22}{25}\ hours

You might be interested in
Mathematics of inequality
Lady_Fox [76]

Answer:

(-3x²+5x-2)-2(x²-2x-1)

-3x²+5x-2-2x²+2x+2

-5x²+7x

b = 7

8 0
2 years ago
Solve for x round to the nearest tenth
lidiya [134]

Answer:

47.0

Step-by-step explanation:

In this right angle triangle, we are faced with a challenge of two sides. The opposite side and the adjacent side, hence the tangent is used.

Where it is the opposite side and hypothenus side, the sine is used and when it is the hypothenus side and adjacent side, the cosine is used.

Hence, we have tan62°=x/25

We cross multiply, to have

25(tan 62°)= x

x = 47.01816

In rounding up numbers, number 1 to 4 will be rounded up to zero, while numbers 5 to 9 will be rounded up to 1.

Rounding up 47.01816 to the nearest tenth. The tenth value is the figure is 0, before it we have 1, which is to hundredth. 1 will be rounded up to zero.

So we have 47.0

3 0
2 years ago
How do i solve this? <br><br> 7 &lt; 3 - 2x<br><br><br> It's linear inequalities
Natasha2012 [34]

Hello from MrBillDoesMath!

Answer:

x < -2

Discussion:

7 < 3 - 2x                       => Add 2x to both sides

7 + 2x < 3 - (2x - 2x)     =>  As 2x -2x = 0

7 + 2x < 3                      =>  Subtract  7 from both sides

(7-7) +  2x < 3 - 7           => As 7-7 = 0 and 3-7 = -4

2x < -4                           => Divide both sides by 2

x < -4./2 = -2

Thank you,

MrB

7 0
3 years ago
During the day, Lola's dog is tied by a rope to a tree in the center of her yard. The scale drawing below shows the area that th
pav-90 [236]

Answer: t is 12.5 on a scale drawing

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Suppose brine containing 0.2 kg of salt per liter runs into a tank initially filled with 500 L of water containing 5 kg of salt.
Oliga [24]

Answer:

(a) 0.288 kg/liter

(b) 0.061408 kg/liter

Step-by-step explanation:

(a) The mass of salt entering the tank per minute, x = 0.2 kg/L × 5 L/minute = 1 kg/minute

The mass of salt exiting the tank per minute = 5 × (5 + x)/500

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;

Δ/dt = x - 5 × (5 + x)/500

The increase, in mass, Δ, after an increase in time, dt, is therefore;

Δ = (x - 5 × (5 + x)/500)·dt

Integrating with a graphing calculator, with limits 0, 10, gives;

Δ = (99·x - 5)/10

Substituting x = 1 gives

(99 × 1 - 5)/10 = 9.4 kg

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank)

∴ The concentration of the salt and water in the tank after 10 minutes =  (5 + 9.4)/500 = (14.4)/500 = 0.288

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter

(b) With the added leak, we now have;

Δ/dt = x - 6 × (14.4 + x)/500

Δ = x - 6 × (14.4 + x)/500·dt

Integrating with a graphing calculator, with limits 0, 20, gives;

Δ = 19.76·x -3.456 = 16.304

Where x = 1

The increase in mass after an increase in = 16.304 kg

The total mass = 16.304 + 14.4 = 30.704 kg

The concentration of the salt in the tank then becomes;

Concentration = 30.704/500 = 0.061408 kg/liter.

6 0
3 years ago
Other questions:
  • In the diagram GH bisects ∠FGI
    11·1 answer
  • you invest 1000 in an account that pays simple interest of 6% for 30 years what. How much money will you have in 30 years
    6·2 answers
  • The sales tax in New York is 8.25%. About how much will a $66.00 pair of shoes cost, including sales tax?
    7·1 answer
  • Do you guys know how to do this problem I’m stuck school just Started and I can’t remember how to do this
    10·1 answer
  • Henry draws an obtuse triangle how many obtuse angles does Henry's triangle have?
    15·2 answers
  • 25% of what number is 19
    15·1 answer
  • What is the equation of a line that is tangent to the circle (x + 1)2 + (y −2)2 = 10 at the point (0, 4)
    15·2 answers
  • Information about the five planets
    5·2 answers
  • Round the following numbers to 1 decimal place.
    8·2 answers
  • I really need help with this please!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!