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2 years ago

In a recent town election, 1,860 people voted for either candidate A or candidate B for the position of supervisor.

1 answer:

4 0

837.

EXPLANATION:

if candidate A recieved 55% of the votes,

Then candidate B recieved 45% of the votes, because it must equal 100%

45% of 1860 is 837.

Hope this helpz!

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Ella has a part-time job selling cupcakes at a cart in the park. She is paid $25 for a shift plus a fee of $0.25 for each cupcak

mojhsa [17]

9514 1404 393

Answer:

A) t = 0.25c +25

B) c = 52

C) 3 weekday shifts

Step-by-step explanation:

A. The amount Ella earns is $0.25 per cupcake, so for c cupcakes, that is ...

0.25c

In addition, she is paid $25, so her total amount she is paid is ...

t = 0.25c +25

B. In order to earn $38, the number of cupcakes sold must be ...

38 = 0.25c +25

13 = 0.25c . . . . . . subtract 25

52 = c . . . . . . . . . multiply by 4

Ella sold 52 cupcakes to earn $38.

C. On one of the average weekdays, Ella could be expected to earn ...

t = 0.25(36) +25 = 34

Then for 3 weekday shifts, her earnings would be 3($34) = $102. (It would take Ella 3 weeks to earn $300.)

On one of the average weekend shifts, Ella could be expected to earn ...

t = 0.25(62) +25 = 40.50

Then for 2 weekend shifts, her earnings would be 2($40.50) = $81. (It would take Ella 4 weekends to earn $300.)

Ella would earn $300 more quickly by working weekday shifts.

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2 years ago

The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m

daser333 [38]

Answer:

$\dfrac{dV}{dt}=502.65\ mm^3/s$

Step-by-step explanation:

The volume of a sphere is given by :

$V=\dfrac{4}{3}\pi r^3$

The rate of change of volume means,

$\dfrac{dV}{dt}=\dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r\times \dfrac{dr}{dt}$

We have, $\dfrac{dr}{dt}=2\ mm/s\ and\ r=40\ mm$

So,

$\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3\times 20\times 2\\\\=502.65\ mm^3/s$

So, the volume is increasing at the rate of $502.65\ mm^3/s$ .

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3 years ago

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kirill [66]

The answer I think is a

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Amiraneli [1.4K]

Step-by-step explanation:

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