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Effectus [21]
3 years ago
12

Write an expression to represent the length of a string in yards in terms of the string's length, x, in inches

Mathematics
1 answer:
Sergio039 [100]3 years ago
3 0

Answer:

y = \frac{x}{36}

Step-by-step explanation:

Given

Length of string = x inches

Required

Determine the length in yards

Represent the equivalent length with y

Such that

y = x\ inches

Divide x by 36 to get equivalent in yards

y = \frac{1}{36} * x

y = \frac{x}{36}

Hence, the equivalent in yards is \frac{x}{36}

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Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
Setler79 [48]

Answer:

Therefore values of a and b are

a=3\ and\ b = 2

Step-by-step explanation:

Rewrite x^{2}-6x+7=0 in the form

(x-a)^{2}=b

where a and b are integers,

To Find:

a = ?

b = ?

Solution:

x^{2}-6x+7=0 ..............Given

Which can be written as

x^{2}-6x=-7

(\frac{1}{2} coefficient\ of\ x)^{2}=(\frac{1}{2}\times -6)^{2}=9

Adding half coefficient of X square on both the side we get

x^{2}-6x+9=-7+9=2 ...................( 1 )

By identity we have (A - B)² =A² - 2AB + B²

Therefore,

x^{2}-6x+9=x^{2}-2\times 3\times x+3^{2}=(x-3)^{2}

Substituting in equation 1 we get

(x-3)^{2}=2

Which is in the form of

(x-a)^{2}=b

On comparing we get

a = 3 and b = 2

Therefore values of a and b are

a=3\ and\ b = 2

4 0
3 years ago
Mr.edwards is making sandwiches.he has 4 pounds of cheese.he put 1/8 pound of cheese in each sandwich. what is the total number
dem82 [27]
Answer: 32 sandwiches


explanation: well, if one sandwich uses one eighth of a pound of cheese, that means that eight eighths of a pound (i.e one whole pound) would make eight sandwiches. Since we know that there are four pounds of cheese altogether, we can use this ratio (8 sandwiches per every 1 pound of cheese) to calculate that he made 32 sandwiches (8 times 4).
5 0
4 years ago
for freinds share 32 tokens at the arcade .if they share them equally ,what fraction of tokens will each person get?            
Anvisha [2.4K]
32/4=8

----------

Each person will get 8 tokens. 8 tokens turns out to be a quarter of the tokens that are available.
6 0
3 years ago
Read 2 more answers
How is making a perpendicular bisector different to making an angle bisector
mr_godi [17]

Answer and Step-by-step explanation:

When making a perpendicular line, you take 2 points on a straight line.

- You put the compass on the two points, making marks above and below to be able to draw the line.

When making an angle bisector line, you use the angle and 2 points to make a straight line that will bisect the angle.

- You put the compass on the angle, making an arc from the two lines that join to make the angle. Then, you put your compass on where the arc meets the lines, and make a mark, which you then draw a line through.

<u><em>#teamtrees #PAW (Plant and Water)</em></u>

3 0
3 years ago
Can someone help with this q u e s t i o n p l e a s e
Mrac [35]
What can I do for you
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2 years ago
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