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3 years ago

Answer the question in the picture please and if you don't know please just don't answer it <3

Mathematics

1 answer:

Naily [24]3 years ago

6 0

9514 1404 393

Answer:

340 quarters
1020 dimes
1031 nickels
2062 pennies

Step-by-step explanation:

x is the number of quarters

a) d = 3x . . . . . . the number of dimes is 3 times the number of quarters

b) n = d + 11 = 3x +11 . . . . there are 11 more nickels than dimes

c) p = 2n = 2(3x +11) = 6x +22 . . . . there are twice as many pennies as nickels

d) The total number of coins is ...

x + d + n + p = 4453

x + (3x) +(3x +11) +(6x +22) = 4453

13x +33 = 4453

13x = 4420

x = 4420/13 = 340 . . . . number of quarters collected

3x = 1020 . . . . . . . . . . . .number of dimes collected

1020 +11 = 1031 . . . . . . . number of nickels collected

2·1031 = 2062 . . . . . . . . number of pennies collected

There were 340 quarters, 1020 dimes, 1031 nickels, and 2062 pennies collected.

_____

<em>Check</em>

340 +1020 +1031 +2062 = 4453 . . . as required

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3 years ago

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Step-by-step explanation:

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4 years ago

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First lets put this into a nicer format
y=5x-35
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4 years ago

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SCORPION-xisa [38]

Answer:

Step-by-step explanation:

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3 years ago

Aimee is shipping a care package to her friend in college, and she has a piece of

VikaD [51]

Aimee is shipping a care package to her friend in college, the max volume of the box is mathematically given as

V=1539.6007

<h3>What is the max volume of the box?</h3>

Generally, the equation for the height is mathematically given as

V=(20-2x)(40-2x)x

Where x is the height

V=4x^3-120x^2+800x

differentiate v and solve

dv/dx=3x^2-60+200

3x^2-60+200=0

Therefore

x= $\frac{60\pm \sqrt{60^2-4x3x200}}{2*3}$

x= $\frac{60-34.64}{6}$

x=4.2265

In conclusion, the second differentiation of v and solve we have

d^2v/dx^2=24-240

Hence

d^2v/dx^2< 0

V=(20-2x(40-2x)x

subsitute x

V=(20-2(4.2265))(40-2(4.2265))(4.2265)

V=1539.6007