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2 years ago

A geologist visits 90 volcanoes in Alaska and California

Mathematics

1 answer:

Viktor [21]2 years ago

4 0

Answer:

40 volcanoes = 100% of them 15% were in California so if we want to know how much % were in Alaska we do 100% - 15% which equals 85%, so 85% were in Alaska. Now to find out how many the geologist visited in each state multiply 40 by the percentage. Number of volcanoes in California = 15% of 40 volcanoes = 0.15 x 40 = 6Number of volcanoes in Alaska = 85% of 40 volcanoes 0.85 x 40 = 34

Step-by-step explanation:

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Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.

MrRa [10]

Answer:

 The numbers are 6, 18, and 30 

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

If 10 is added to the last number to form an arithmetic progression

Then, 3x 9x (10x+10) are the progression

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10

Substituting these values into equation 1

9x-3x = (10x+10)-9x

Solving the equation above,

3x = 10+x

3x-x = 10

2x = 10

x = 10/2

x = 2.

Therefore the numbers are 6, 18, and 30 

7 0

3 years ago

Denise spent $56.48 at the grocery store while Michael spent $74.06. How much more money did Michael spendthan Denise?A.$17.58B.

ZanzabumX [31]

We will use the equation 74.06-56.48=? To find the change in prices, aka how much more money was spent. That equals 17.58. So A, Michael spent $17.58 more than Denise.

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3 years ago

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Rewrite the following the form log (c) log (20) - log (5)

Dmitrij [34]

Answer:log (20/5)

Step-by-step explanation:

When subtracting logs you divide the numbers after the log

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3 years ago

Maya runs a farm stand that sells raspberries and blueberries. Each pound of raspberries sells for $1 and each pound of blueberr

aniked [119]

30 pounds of raspberries and 50 pounds of blueberries are sold

Solution:

Let "a" be the pounds of raspberries sold

Let "b" be the pounds of blueberries sold

Cost per pound of raspberry = $ 1

Cost per pound of blue berry = $ 3.25

Maya made $192.50 from selling a total of 80 pounds of raspberries and blueberries

Therefore,

a + b = 80

a = 80 - b ------- eqn 1

Maya made $192.50. Therefore, frame a equation as:

pounds of raspberries sold x Cost per pound of raspberry + pounds of blueberries sold x Cost per pound of blue berry = 192.50

$a \times 1 + b \times 3.25 = 192.50$

a + 3.25b = 192.50 ------ eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

80 - b + 3.25b = 192.50

2.25b = 192.50 - 80

2.25b = 112.5

Divide both sides by 2.25

b = 50

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3 years ago

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kakasveta [241]

Answer:

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Step-by-step explanation:

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3 years ago

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A geologist visits 90 volcanoes in Alaska and California​

A geologist visits 90 volcanoes in Alaska and California