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2 years ago

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Mathematics

1 answer:

4vir4ik [10]2 years ago

3 0

Answer:

An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b, and geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.

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Paul works at a local grocery store. he worked 15 hours this week. last week he worked 2.5 times as many hours as he worked this

Nonamiya [84]

So last week Paul worked 2.5x this week's hours, so he worked a total of 2.5x15= 37.5 hours last week.

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3 years ago

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2 years ago

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Autum school holding a voleturing challeng. Students are encouraged to volunteer for at least 1 1/2 hours per week. Volenteers a

Pani-rosa [81]

Given :

Challenge given is to volunteer for about 1 1/2 hours per week .

Autum did at a rate of 6 3/4 hours per week .

To Find :

The comparison ( ratio ) her volunteers rate with the challenge rate .

Solution :

Simplifying challenge rate in in normal fraction , $1\dfrac{1}{2}=\dfrac{2+1}{2}=\dfrac{3}{2}$ .

Also , simplifying her rate , $6\dfrac{3}{4}=\dfrac{(6\times 4)+3}{4}=\dfrac{27}{4}$ .

Now , ratio of his work by challenge is :

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3 years ago

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Gerardo works at an ice cream shop each flavor of ice cream is stored in a right cylindrical tub that measures approximately 9 i

Leokris [45]

Answer:

Volume left = 404.32 cubic inches

Step-by-step explanation:

volume of a cylinder = $\pi$ $r^{2}$ h

volume of ice cream in the cylindrical tub = $\frac{22}{7}$ x $5^{2}$ x 9

= $\frac{22}{7}$ x 25 x 9

= 707.1429

Volume of ice cream in the cylindrical tub is 707.14 cubic inches.

The ice cream scoop has a spherical volume, so that;

volume of a sphere = $\frac{4}{3}$ $\pi$ $r^{3}$

r = $\frac{2.5}{2}$

= $\frac{5}{4}$ inches

volume of the scoop = $\frac{4}{3}$ x $\frac{22}{7}$ x $(\frac{5}{4} )^{3}$

= $\frac{4}{3}$ x $\frac{22}{7}$ x $\frac{125}{64}$

= 8.1845

volume of the scoop is 8.19 cubic inches.

If he scoops 37 scoops,

volume of the 37 scoops = 37 x 8.1845

= 302.8265

volume of 37 scoops is 302.83 cubic inches.

Volume of ice cream left in the tub = 707.1429 - 302.8265

= 404.3164

Volume of ice cream left in the tub is 404.32 cubic inches.

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3 years ago

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Average cost = Total cost / Number of supplies

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1 year ago