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Reil [10]
3 years ago
7

Lucy cuts 4 square with side length x in. From the corners of a 6 in by 9 in cardboard rectangle. She folds the remaining cardbo

ard to make a tray that is x in high. Write and simplify a polynomial fiction for volume V of the tray in terms of x
A and B
Mathematics
1 answer:
pantera1 [17]3 years ago
8 0

Answer:

V=4x^3-30x^2+54x

Step-by-step explanation:

From the question we are told that

Breath of cardboard h=6

Length of cardboard l=9

Let x be the height when fold

Generally the new rectangle is  mathematically given as

Breath h'=(6-2x)

Length l'=(9-2x)

Generally the Volume of tray is mathematically given as

V=L*B*H

V=(9-2x)*6-2x*x

V=x(4x^2-30x+54)

V=4x^3-30x^2+54x

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Pencils are on sale for 25 for $1.25. Based on this rate, how much would one pencil cost?
Marat540 [252]

Answer:

$0.05

Step-by-step explanation:

1.25/25=0.05

6 0
2 years ago
With a beginning balance of $2500 and no additional charges, there is no grace-period, you will just pay the minimum payment eac
valkas [14]

Answer:

a = $31.23 per month

b = $20.83 per month

c = 249.98 = $249.98 interest charges

                   = $624-249.98 = 374.02 profit part decrease 8% inc.                  

d = 35.35%

e = Answer is in the name; basic payment is a contract which means whilst account remains open charges are requested without fail. Should balance be less or on zero, charges are still applied.

Step-by-step explanation:

2500 x 1.2499 = interest only for start month 13 =3124.75

3124.75/ 100 x 1.08   = 8% of this = 249.98 each year.

We only have to divide each by 12 to work out monthly individual charges and subtract to find out payments.

3124.75 - 249.98 = 2874.77 = Total after charges each year.

249.98/12 = 20.83 = monthly charges.

3124.75- 2500 = 624.75 payments each year

624.75/12 = 52.06 month 1 payment before charge

52.06-20.83 =31.23 total minimum payment

2500 + 249.98

Percentage = 200:600 = 1/3 33% + (comparing to ratio 10:25 closer to 40%)

We find ratio 200:600= 33.33 + 49.995/24.75 = 2.02

33+2.02 = 35.35%

7 0
3 years ago
One hour after yolanda started walking from x to y, a distance of 45 miles, bob started walking along the same road from y to x.
Rufina [12.5K]
<span>Answer: When bob starts walking The distance between them is 45-3 = 42 miles If they meet at time t then Yolanda would have walked X/3 minutes and Bob would have walked (42-X)/4 mins X/3 = (42-X)/4 so X = 18 Bob would have walked 42-18 = 24 miles.</span>
3 0
3 years ago
X+y=12<br> 3x = 2y + 6<br> system of elimination
Tasya [4]

Answer:

(x,y)=(6,6)

Step-by-step explanation:

there you go

3 0
3 years ago
8+2(5 - x) = <br> Need help
nikdorinn [45]
We can distribute
2(5)+2(-x)=10-2x

we get
8+10-2x=?
18-2x=?

whatever that ? is, we don't know
multiply both sides by -1
2x-18=-?
add 18 to both sides
2x=18-?
divide bth sides by 2
x=9-(?/2)
whatever the left side  it, just divide it by 2 and subtract it from 9
7 0
3 years ago
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