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Cloud [144]
3 years ago
14

The length of rectangle is 1 meter less than it's width . The area of the rectangle is 42 square meters. Find the dimensions of

the rectangle.
Mathematics
1 answer:
serg [7]3 years ago
7 0
We can turn this word problem into equations! So let l be length and w be width. So we can write, l+1=w. And l*w=42. we can plug the first equation in... l(l+1)=42 which is l^2+l=42. We can see that l=6. So w=7.
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How can the decimal 1.245 repeating be written as a quotient of two integers?
Nikolay [14]

Answer:

1244/999

Step-by-step explanation:

So we have 1.245245245245.... which we call x.

If we times this by 1000 (because 3 digits repeat) we get

1000x = 1245.245245245....

Subtract x from both sides:

999x = 1245.245245245... - 1.245245... = 1244

This means that x = 1244/999

This fraction cannot be simplified so this is the answer.

If you want to include the 1 in the repeating (1.2451245...) do the same but the sequence is 4 digits so times by 10000 instead.

7 0
3 years ago
Write 1,700 in exponential form
Artist 52 [7]

The correct answer is 1.7 times 10^3.

8 0
3 years ago
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babymother [125]

Answer:

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3 0
3 years ago
Alan mixes 1 1/3 cups of milk with a can of condensed soup. He makes a total of 2 5/8 cups of soup. How many cups of condensed s
Sonja [21]
To find the amount of soup in the soup-milk mixture, we just need to subtract the amount of milk from the amount of soup-milk mixture.

2 5/8 - 1 1/3 = 1 7/24.

There were 1 7/24 cups of soup in the can.
Hope that helped =)
8 0
3 years ago
What is the reflection of point P(−1, 6) across the line y = x?
zhannawk [14.2K]

ANSWER

P'(6,-1)

EXPLANATION

The mapping for a reflection in the line y=x is

The line y=x is the mirror line for a function and it's inverse.

(x,y)\to (y,x)

The x and y coordinates swap position.

The reflection of point P(−1, 6) across the line y = x is

P'(6,-1)

6 0
3 years ago
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