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iogann1982 [59]
3 years ago
12

Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric, and the length of the table cl

oth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?
Mathematics
1 answer:
Setler79 [48]3 years ago
7 0
If you use division you will find 30ft divided by the 7.5ft is 4ft so 7.5ft*4ft=30ft squared 
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Ishaan is 2 times as old as Christopher. 35 years ago, ishaan was 7 times as old as Christopher
Natalija [7]

Answer:The present age of both of them are Christopher = 42 years, and Ishaan = 84 years.

Step-by-step explanation: Solution:

Let present age of:

Christopher =  

x

yrs

Ishaan =  

2

x

yrs ( given that Ishaan is 2 times as old as Christopher)

35 yrs ago:

Age of Christopher = (

x

- 35)yrs

Age of Ishaan = (

2

x

- 35) yrs

According to question, 35 yrs back, Ishaan was 7 times older than Christopher.

Therefore

7 X (

x

- 35) = (

2

x

- 35)

7

x

- 245 =  

2

x

- 35

7

x

-  

2

x

= 245 - 35

5

x

= 210

x

= 42

So present age of Christopher =  

x

= 42 yrs

&

Present age of Ishaan =  

2

x

= 84 yrs

Check your solution:

As 84 is 2 times of 42 so Ishaan is 2 times older than Christopher.

35 yrs ago, Christopher was (42 - 35) = 7 yrs old and Ishaan was (84 - 35) = 49 yrs old so Ishaan was 7 times older than Christopher then.

6 0
3 years ago
Which of the following shows the general formula for factoring the difference of cubes?
Tcecarenko [31]

Answer:

(a - b)(a² + ab + b²)

Step-by-step explanation:

The difference of cubes is expressed as:

a³-b³

Using trial and error:

a³-b³

Check  (a - b)(a² + ab + b²)

Expand

(a - b)(a² + ab + b²)

= a(a²)+a(ab)+a(b²)-a²b-ab²-b³

= a³+a²b+a(b²)-a²b-ab²-b³

Collect the like terms

= a³+a²b-a²b+ab²-ab²-b³

= a³-b³

Hence the required option is

7 0
3 years ago
(X^2+y^2)^2 polynomial identify. Simplify
Alexxx [7]

Answer:

(x^{2}+ y^{2})^{2} =x^{4}+2x^{2}y^{2}+y^{4}

Step-by-step explanation:

(X^2+y^2)^2 polynomial identify. Simplify

i.e

(x^{2}+ y^{2})^{2} = ?

Solution:

We have the identity,

(A+B)^{2}=A^{2}+2AB+B^{2}

In the Question

A=x^{2}

B=y^{2}

Substituting in the identity we get

(x^{2}+ y^{2})^{2} =(x^{2})^{2}+2(x^{2})(y^{2})+(y^{2})^{2}

Also we have

(x^{a})^{b} =x^{a\times b}

(x^{2}+ y^{2})^{2} =x^{4}+2x^{2}y^{2}+y^{4}  Which is the required

8 0
4 years ago
Spila Motors Inc. earned income of $69,000 from its operating activities for a specified period. During the same period, it sold
guajiro [1.7K]

Answer:

i think it is b

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Two adjacent, supplementary angles form a<br> right angle<br> obtuse angle<br> line<br><br> b?
noname [10]
You got that correct it is B. here is why:
it is an obtuse because it all adds up to 180 degrees

8 0
3 years ago
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