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Anna35 [415]
2 years ago
5

4.) Emma wants to know the volume of a box of chocolates

Mathematics
1 answer:
VladimirAG [237]2 years ago
7 0

Answer:

390 cubic centimeters

Step-by-step explanation:

the volume of a box is the length width and height all multiplied together

so this is what the equation would look like

5(6)(13)

you can split this up into

5(6) * 13

so 5(6) is 30

30(13)

this is 390

so the box is 390 cubic centimeters

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If a triangle is
Goryan [66]
I believe the answer is positive rotation
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3 years ago
Find the solution of this system of equations<br> 4x - 5y = -12<br> -X + 5y = 18
Natalka [10]

4x - 5y = -12

-x + 5y = 18

Add the equations together:

4x + -x = 3x

-5y + 5y = 0

-12 + 18 = 6

So now you have:

3x = 6

Divide both sides by 3:

X = 2

Now you have the value of x, replace x with 2 in one of the equations and solve for y:

4(2) -5y = -12

8 -5y = -12

Subtract 8 from both sides:

-5y = -20

Divide both sides by -5:

Y = 4

The solution is x = 2 and y = 4 which is written as (2,4)

7 0
3 years ago
Calculate the length of the circumference of a circle with radius of 4.5cm <br><br> Pie=3
Butoxors [25]
Circunference=2 times pi time r
if pi=3 and r=4.5
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answer is 27cm

5 0
3 years ago
Read 2 more answers
F(x+1)+f(x+2)=2x+3; f(x)=?
Rama09 [41]

Answer:

F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1

Step-by-step explanation:

1. \mathrm{Subtract\:}f\left(x+2\right)\mathrm{\:from\:both\:sides}\\&#10;F\left(x+1\right)+f\left(x+2\right)-f\left(x+2\right)=2x+3f-f\left(x+2\right)&#10;&#10;

2. \mathrm{Simplify}\\&#10;F\left(x+1\right)=-xf+f+2x\\&#10;

3. \mathrm{Divide\:both\:sides\:by\:}x+1;\quad \:x\ne \:-1\\&#10;\frac{F\left(x+1\right)}{x+1}=-\frac{xf}{x+1}+\frac{f}{x+1}+\frac{2x}{x+1};\quad \:x\ne \:-1

4. \mathrm{Simplify}\\&#10;F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1

Final Answer: F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1

4 0
3 years ago
A large appliance such as a water heater is only running when it has clicked on and is actually heating water. The time your wat
mafiozo [28]

a) Total cost (per day) ≈ $1.40

​b) Total cost (per year) ≈ $510

c) New annual cost = $327

d) The number of years that the water heater pays for itself is; approximately 4 years

<h3>How to calculate Energy Bill?</h3>

Wattage per hour = 4200 Watts per hour

Number of hours per day = 3 hours

Cost per unit = $0.11 per kilowatt-hour

Savings rate = 36%

Cost water heater = $1,100

a) The total wattage is the product of the wattage per hour and the number of hours;

Total wattage (per day) = Wattage per hour × Number of hours

= 4,200 watts per hour × 3 hours

= 12,600 watt-hours

= 12.6 kilowatt-hours

​

The total cost is then the product of the total wattage and the cost per unit:

Total cost (per day) = Total wattage × Cost per unit

Total cost (per day) = 12.6 kilowatt-hours × $0.11 per kilowatt-hour

Total cost (per day) = $1.386

Total cost (per day) ≈ $1.40

​

b) The total cost in a year is the product of the total cost in a day and the number of days in a year. There are 365 days in a year (assuming no leap year).

Total cost (per year) = Total cost (per day) × Number of days in a year

Total cost (per year) = $1.40 × 365

Total cost (per year) = $511

Total cost (per year) ≈ $510

​

c) We are told that this new water heater saves 36% of annual cost. Thus;

Amount saved = 36% * 510 = $183.6

Thus;

New annual cost = $510 - $183 = $327

d) The number of years that the water heater pays for itself is;

1100/327 = 3.36 or approximately 4 years

Read more about Energy Costs at; brainly.com/question/14277272

#SPJ1

6 0
1 year ago
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