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poizon [28]
2 years ago
10

a family of 6 goes to the local sandwich shop. All six people order the combination meal, which includes a drink and a sandwich

for $6.99. One person thinks the total bill will be around $30. Is this a reasonable estimate?
Mathematics
1 answer:
gogolik [260]2 years ago
8 0

Answer:

No, a reasonable estimate is around 6 times $7 = $42

Step-by-step explanation:

$6.99 is rounded up to 7, and there are 6 people who ordered a $7 meal. And 6 times 7 is 42

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A type of organism's cells split every minute. If the organism has 4 cells when the cells begin to split, how many cells will th
snow_lady [41]

Answer:

The total of cells will the organism have after 6 minutes is 252

Step-by-step explanation:

* Lets consider this problem as a geometric series

- There is a constant ratio between each two consecutive numbers

Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)

* General term (nth term) of a Geometric series:

∵ U1 = a  ,  U2  = ar  ,  U3  = ar^2  ,  U4 = ar^3  ,  U5 = ar^4

∴ Un = ar^n-1

- Where r is the ratio between each two consecutive terms and

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* The sum of first n terms of a Geometric Progression is calculate from

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- In the problem the cell split every minute

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∴ a = 4

# 4 , 8 , 16 , 32 , .......

∴ r = 2

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∴ S6 = 4(1 - 2^6)/1 - 2 = 4(1 - 64)/-1 = 4(-63)/-1 = 252 cells

4 0
3 years ago
Please help me with this math question.
alex41 [277]

Answer:

275 m^3

Step-by-step explanation:

The volume of a triangular pyramid is V=(1/3)Ah, where A is the area of the triangular base and h is the height.

First, let's find A, the area of the base. The area of a triangle is bh/2, where b is the base and h is the height.

In this question, 5 is the base and 15 is the height, so A=5*15/2=75/2.

Now we know A is 75/2, so let's go back to the formula for the volume of a pyramid. We are given h is 22, so

V=(1/3)(75/2)*22=275

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