Help Solve 10 12 − 3 8 . Show your solution as an equation.

A factory produces 3/4 of a mile of thread every 1/4 of an hour. What is the unit rate of miles of thread per hour?

marissa [1.9K]

Isn’t this 12/4 of a mile of thread every hour? If the factory produces 3/4 of a mile of thread every 1/4 of an hour, then all you need to do is 3/4 x 4. 1/4 is like .25 so to make a whole number, you have to do .25 x4 which makes the whole. I don’t know if my explanation is correct or not but I do believe my answer is. (12/4 is 3)

6 0

3 years ago

What is the sum? 3 y / Y 2 + 7 y + 10 + 2 / y + 2

kap26 [50]

Answer:

5/(y+5)

Step-by-step explanation:

Perhaps you want the sum ...

$\dfrac{3y}{y^2+7y+10}+\dfrac{2}{y+2}\\\\=\dfrac{3y}{(y+2)(y+5)}+\dfrac{2(y+5)}{(y+2)(y+5)}=\dfrac{3y+2(y+5)}{(y+2)(y+5)}\\\\=\dfrac{5y+10}{(y+2)(y+5)}=\dfrac{5(y+2)}{(y+2)(y+5)}=\boxed{\dfrac{5}{y+5}}$

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Comment on rational expressions

When writing ratios in plain text, it is imperative to put parentheses around numerators and denominators. (If the numerator is a product only, then parentheses are optional.)

Your expression might be properly written as ...

3y/(y^2 +7y +10) +2/(y+2)

As you have written it, it simplifies to ...

3(y/y)2 +7y +10 +2/y +2 = 3·2 +7y +2/y +12

= 7y +2/y +18

Please note, too, the exponentiation symbol (^).

6 0

3 years ago

5x-4y=-10 -4x+5y=8 (Khan academy)

Yakvenalex [24]

Answer:

X = 10

Y = 48/5

Step-by-step explanation:

Your welcome.

3 0

2 years ago

Josie can solve 4/3 rubix cubes in 1/6 of an hour. How many rubix cubes can she solve an in hour please help

777dan777 [17]

Answer:

5

Step-by-step explanation:

So 1/6 of an hour is 10 minutes and 3/4 of a Rubiks cube is technically 1 1/4 so in an hour she can solve five in an hour

3 0

3 years ago

Javier and his friends go out to eat. The restaurant they chose automatically adds a 15% gratuity to their food bill since they

siniylev [52]

well, we know that 213.90 includes the 15% gratuity, so if the meal price was say "x", namely that is the 100%, and we add 15% to that, then 100% + 15% = 115%, so 213.90 is really the 115%.

now, if 213.90 is the 115.%, what is "x"? the 100%.

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 213.90&115\\ x&100 \end{array}\implies \cfrac{213.9}{x}=\cfrac{115}{100}\implies 21390=115x \\\\\\ \cfrac{21390}{115}=x\implies 186=x$

so since we know the meal without the tip is 186 bucks, the tip was then 213.90 - 186 = 27.90.

but they got extra potato wedges with butter and the waitress was wearing her best hat, they added $20 more, so the tip ended up as 27.90 + 20 = 47.90.

now, if the cost of the meal was $186 and that is the 100%, what is 47.90 off of it in percentage?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 186&100\\ 47.90&x \end{array}\implies \cfrac{186}{47.90}=\cfrac{100}{x}\implies 186x=4790 \\\\\\ x=\cfrac{4790}{186}\implies x\approx \stackrel{\%}{25.75}$

7 0

3 years ago

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