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snow_lady [41]
3 years ago
8

A rectangular piece of cardboard is 16y cm long and 23 cm wide. Four square pieces of cardboard whose sides are 6y cm each are c

ut away from the corners. Find the area of the remaining cardboard. Express your answer in terms of y. If your answer is ay^b, then what is a+b?
Mathematics
1 answer:
Anna11 [10]3 years ago
3 0

Answer:

Area of remaining cardboard is 224y^2 cm^2

a + b = 226

Step-by-step explanation:

The complete and correct question is;

A rectangular piece of cardboard is 16y cm long and 23y cm wide. Four square pieces of cardboard whose sides are 6y cm each are cut away from the corners. Find the area of the remaining cardboard. Express your answer in terms of y. If your answer is ay^b, then what is a+b?

Solution;

Mathematically, at any point in time

Area of the cardboard is length * width

Here, area of the total cardboard is 16y * 23y = 368y^2 cm^2

Area of the cuts;

= 4 * (6y)^2 = 4 * 36y^2 = 144y^2

The area of the remaining cardboard will be :

368y^2-144y^2

= 224y^2

Compare this with;

ay^b

a = 224, and b = 2

a + b = 224 + 2 = 226

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Which expression is equivalent to 144^3/2
Tju [1.3M]

Answer:

\large\boxed{144^\frac{3}{2}=1728}

Step-by-step explanation:

\sqrt[n]{a^m}=a^\frac{m}{n}\\\\144^\frac{3}{2}=144^{1\frac{1}{2}}=144^{1+\frac{1}{2}}\qquad\text{use}\ a^na^m=a^{n+m}\\\\=144^1\cdot144^{\frac{1}{2}}=144\sqrt{144}=144\cdot12=1728

6 0
3 years ago
Mr. Wing is purchasing a new computer that costs $2,376. There is no interest charge if it is paid for in the next 12 months. Ho
Vedmedyk [2.9K]

Answer: $198

Step-by-step explanation:

2376/12 = 198

6 0
3 years ago
Read 2 more answers
5. Enter the answer as a decimal
Hitman42 [59]

Answer:

6.5%

Step-by-step explanation:

I = prt

5616 = 7200 × r × 12

r = 5616/(7200 × 12)

r = 0.065

r = 6.5%

5 0
1 year ago
What is the product 4n/4n-4 n-1/n+1
olga_2 [115]
4n/4n-4 × n-1/n+1
= 4n(n-1)/(4n-4)(n+1)
= (4n^2 - 4n)/(4n^2 + 4n - 4n-4)
= (4n^2 - 4n)/(4n^2 - 4)
= 4(n^2 - n)/4(n^2 - 1)
=(n^2 - n)/(n^2 - 1)
5 0
3 years ago
Donis bought a t-shirt for $15 and jeans for $35.50. If the sales tax rate is 8.25%. What is the sales tax for the t-shirt and j
SOVA2 [1]
<h3>Answer: 4 dollars and 17 cents</h3><h3>This is the same as saying $4.17</h3>

====================================================

Explanation:

15+35.50 = 50.50 dollars is the total before tax is applied.

Take 8.25% of this to get

0.0825*50.50 = 4.16625

and this rounds to 4.17, which is the amount of sales tax charged.

$4.17 = 4 dollars + 17 cents

---------

Extra info:

The grand total will be 50.50+4.17 = 54.67

Another way to get the grand total is to multiply 1.0825 by the previous subtotal (50.50) getting 50.50*1.0825 = 54.66625 and that rounds to 54.67

The multiplier 1.0825 effectively means "increase by 8.25%"

6 0
3 years ago
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