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Rama09 [41]
3 years ago
9

What is a common factor for the two fractional terms StartFraction 5 over 8 EndFraction x andStartFraction 11 over 8 EndFraction

x y? The terms can be written as 5StartFraction 1 over 8 EndFraction(x) and 11StartFraction 1 over 8 EndFractionxy. 5 StartFraction 1 over 8 EndFraction x StartFraction 5 over 8 EndFraction y
Mathematics
2 answers:
inessss [21]3 years ago
9 0

Answer:

B. 1/8x

Step-by-step explanation:

Dafna1 [17]3 years ago
4 0

Answer:

\frac{1}{8x}

Step-by-step explanation:

Given two fractional terms \frac{5}{8x}\ and\ \frac{11}{8xy}. Their common factor is a value or function that can go in both fractional terms. The terms can be written as shown.

\frac{5}{8x} = 5 *\frac{1}{8x}

\frac{11}{8xy} = 11 * \frac{1}{8x} * \frac{1}{y}

It can be seen from the both equations that they both have \frac{1}{8x} as one of their factors i.e <em>1/8x is common to both fractional terms</em>. This gives the common factor for the two fractional terms as \frac{1}{8x}

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Rob is saving to buy a new MP3 player. For every $11 he earns babysitting, he saves $6. On Saturday, Rob earned $44 babysitting.
Anon25 [30]

Answer:

Rob saved $24 on Saturday.

Step-by-step explanation:

Given:

Rob is saving to buy a new MP3 player.

Money earned in baby sitting = $11

Money saved =$6

First we will find the Percentage of amount he saved.

Percentage of amount he saved can calculated by Amount saved divided by total money earned and then multiplying by 100.

framing in equation form we get;

Percentage of amount he saved = \frac{6}{11} \times 100 \approx 54.55\%

Now Given:

Money earned in babysitting on Saturday = $44

We need to find the Money he saved on Saturday.

Money Saved can be calculated by Percentage of amount he saved multiplying by Money earned in babysitting on Saturday and then divided by 100.

framing in equation form we get;

Money Saved on Saturday = \frac{54.55}{100}\times 44 = \$24

Hence Rob saved $24 on Saturday.

8 0
3 years ago
How many seamstresses would be needed to sew thirty-six seams in two hours?
VashaNatasha [74]

Answer:

Six.

Step-by-step explanation :

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8 0
3 years ago
Read 2 more answers
Identify the solutions to the quadratic equation!
Elenna [48]

The solution to the quadratic equation are option C) x= -5 and option E) x=3.

<u>Step-by-step explanation</u>:

The given  quadratic equation is x²+2x-15 = 0.

Using the factorization method,

  • product of the roots should be -15.
  • Sum of the roots should be 2.

⇒ -15 = 5 \times -3

⇒ 2 = 5+(-3)

(x+5)(x-3) = 0

Therefore, x = -5 and x = 3

8 0
3 years ago
Gymnast Clothing manufactures expensive soccer cleats for sale to college bookstores in runs of up to 500. Its cost (in dollars)
Natalija [7]

Revenue, R = 130x

Profit, P = Revenue – Cost

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P = 130x – 2950 + 6x + 0.1x^2

At P = 0

0 = -2950 + 136x +0.1x^2

X = 21.355, -1381.355

Therefore, manufacture greater than 21.355 items to make profit. 

3 0
3 years ago
Read 2 more answers
Verify the identity. 4 csc 2x = 2 csc2x tan x
vlada-n [284]

Step-by-step explanation:

4csc(2x) = 2csc^2(x) tan(x)

We start with Left hand side

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So csc(2x) is replaced by 1/sin(2x)

4 \frac{1}{sin(2x)}

Also we use identity

sin(2x) = 2 sin(x) cos(x)

4 \frac{1}{2sin(x)cos(x)}

4 divide by 2 is 2

Now we multiply top and bottom by sin(x) because we need tan(x) in our answer

2\frac{1*sin(x)}{sin(x)cos(x)*sin(x)}

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2\frac{1}{sin^2(x)} \frac{sin(x)}{cos(x)}

We know that sinx/ cosx = tan(x)

Also  1/ sin(x)= csc(x)

so it becomes 2csc^2(x) tan(x) , Right hand side

Hence verified



6 0
3 years ago
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