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natulia [17]
3 years ago
8

} }" align="absmiddle" class="latex-formula">
Solving Exponential equations using logs. Round any decimal answers to the hundredths
Mathematics
1 answer:
timama [110]3 years ago
8 0

Answer:

Step-by-step explanation:

a= b^c     << === >>    logb(a) = c

                 a      b    c

Convert    45 = 9^√x    << === >>   log9 (45) = √x  

                                                1.7324867604 = √x    

                                                              3.0    =    x          squared both sides

I used a log calculator on the internet when a Gaggled log calculators

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Sam bought 15 pies and 7 slices of cake for $55.25. If each pie cost 2/5 as much as a slice of cake, what was the total cost of
romanna [79]

Answer: $10.20

Step-by-step explanation:

Let's first collect the information from the word problem.

<h3><em>We are told:</em></h3>
  • Bought 15 pies and 7 cake slices
  • Total cost was $55.22.
  • Pies cost \frac{2}{5} as much as a slice of cake
<h3><em>We need to solve for:</em></h3>
  • Total cost of 1 pie and 2 cake slices

1. Create an equation/expression:

To solve the problem, we need to find the price of a pie and cake slice.

Using the information gathered, the equation is:

    55.25 = 7x+15(\frac{2}{5} x)

<em>x = the cost of the slice of cake.</em>

<em />

2. Simplify/Solve

55.25 = 7x+15(\frac{2}{5}x)\\55.25 = 7x+15*\frac{2}{5}*x\\55.25 = 7x+6x\\55.25 = 13x\\4.25 = x

  • Great! we have the price of a slice of cake. ($4.25)

Remember that the pie is \frac{2}{5} of a slice of cake, so now find the price of the pies.

Pie = \frac{2}{5} 4.25

Pie = $1.70

  • Awesome! We know a slice of cake costs $4.25 and a slice of pie costs $1.70.

3. Check your work!

<em>Check to make sure the math is done correctly!</em>

55.25=7(4.25)+15(1.70) \\55.25=29.75+25.50\\55.25=55.25

Good! It is verified that our calculations are correct.

4. Solve!

1 pie and 2 cakes cost: 1.70+2(4.25)

  • $10.20 is our final answer!

  • Hope this helped!~~ -Astro

7 0
4 years ago
PLEASE HELP HELP HELP HELP HELP HELP
RideAnS [48]

|\Omega|=12\cdot11\cdot10=1320\\|A|=9\cdot8\cdot7=504\\\\P(A)=\dfrac{504}{1320}=\dfrac{21}{55}\approx38.2\%

7 0
4 years ago
The shape of a toy cylinder has a radius of 5cm and height of 8cm on top a hemisphere of radius 5cm , calculate the volume of th
steposvetlana [31]

Answer:

  890.1 cm^3

Step-by-step explanation:

The volume of the cylinder is given by the formula ...

  V =  πr^2h

Filling in the given numbers, we find the volume of the cylinder to be ...

  V = π(5 cm)^2(8 cm) = 200π cm^3

__

The volume of a hemisphere is given by the formula ...

  V = (2/3)πr^3

Filling in the given radius, we find the hemisphere volume to be ...

  V = (2/3)π(5 cm)^3 = 250π/3 cm^3

__

The total volume of the toy is presumed to be the sum of these volumes, so is ...

  toy volume = (200π cm^3 +250π/3 cm^3) = 850π/3 cm^3

  toy volume ≈ 890.1 cm^3

5 0
4 years ago
Please help!
REY [17]

Answer:

I think I know all of them it is quadrilateral which means 4 and parallelogram I don't think it can be a rectangle because it's not straight not a rhombus or a square.

4 0
3 years ago
Read 2 more answers
What is the area of the shape shown? All units are in feet.
Mariana [72]

Answer:

112 ft squared

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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