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2 years ago

Find the first four terms of this geometric sequence for a1=3 and r=-3

1 answer:

8 0

$a_1=3;\ r=-3\\\\a_2=a_1r\to a_2=3\cdot(-3)=-9\\\\a_3=a_2r\to a_3=-9\cdot(-3)=27\\\\a_4=a_3r\to a_4=27\cdot(-3)=-81\\\\Answer:\{3;-9;\ 27;-81\}$

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working together two mathletes solve 32 math problems in a certain amount of time how many problems will 3 mathletes solve if th

dexar [7]

If they together at the same rate for the same amount of time, they will solve 48 math problems,

From the question, we can see that two mathletes solve 32 math problems in a certain amount of time, this can be written as:

2 mathletes = 32 math problems

In order to determine the number of problems for 3 mathletes, this is expressed as:

3 mathletes = x

DIvide both expressions:

2/3 = 32/x

Cross multiply

2x = 3* 32

x = 3 * 16

x = 48math problems

Hence if they together at the same rate for the same amount of time, they will solve 48 math problems,

Learn more on proportion here: brainly.com/question/1496357

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2 years ago

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ivolga24 [154]

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3 years ago

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3 years ago

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2 years ago

charissa ordered 3 cans of lemonade for each person at her party. She also ordered 1 pizza for every 4 people. If she ordered 6

krek1111 [17]

Answer:

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Step-by-step explanation:

step 1

Find the number of people

we know that

She ordered 1 pizza for every 4 people

using proportion

Find out the number of people for 6 pizzas

$\frac{1}{4}=\frac{6}{x}\\\\x=24\ people$

step 2

Find the number of cans ordered

we know that

Charissa ordered 3 cans of lemonade for each person

using proportion

Find out the number of cans of lemonade she ordered for 24 people

$\frac{3}{1}=\frac{x}{24}\\\\x=24(3)\\\\x=72\ cans$

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2 years ago