A recipe requires 1/4 of oil for every 2/3 cup of water.How much oil (in cups) is needed per cup of water?

Y/x^2 + y/x^3<br><br>perform the operation and express your answer as a single fraction

umka2103 [35]

Answer:

$\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}$

Step-by-step explanation:

Given the expression

$\frac{y}{x^2}+\frac{y}{x^3}$

Let us perform the operation and express your answer as a single fraction

$\frac{y}{x^2}+\frac{y}{x^3}=\frac{x^3y+x^2y}{x^5}$

$=\:\frac{x^2\left(xy+y\right)}{x^5}$

$=\frac{\left(xy+y\right)}{x^3}$

Therefore, we conclude that:

$\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}$

3 0

3 years ago

What is the answer need it

denis-greek [22]

Answer:

$\frac{7}{10} |$

Step-by-step explanation:

STEP 1:

2/3 + 7/10 = ?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/3, 7/10) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

$(\frac{2}{3}$ * $\frac{10}{10})$ + $(\frac{7}{10} * \frac{3}{3})$ = ?

Complete the multiplication and the equation becomes

$\frac{20}{30} + \frac{21}{30}$

The two fractions now have like denominators so you can add the numerators.

Then:

$\frac{20+21}{30} = \frac{41}{30}$

This fraction cannot be reduced.

The fraction 41/30

is the same as

41 divided by 30

Convert to a mixed number using

long division for 41 ÷ 30 = 1R11, so

41/30 = 1 11/30

Therefore:

2/3+7/10= 1 11/30

STEP 2:

41/30 + -2/3

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(41/30, -2/3) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

$(\frac{41}{30} *\frac{1}{1} ) + ( \frac{-2}{3} * \frac{10}{10} )$

The two fractions now have like denominators so you can add the numerators.

Then:

$\frac{41+-20}{30} = \frac{21}{30}$

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 30 using

GCF(21,30) = 3

$\frac{21/3}{30/3} =\frac{7}{10}$

Therefore:

$\frac{41}{30} + \frac{-2}{3} =\frac{7}{10}$ |

8 0

2 years ago

1(6x - 9) = (4x - 6)

ruslelena [56]

1(6x-9)=(4x-6)

One solution was found :

x = 3/2 = 1.500

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

1*(6*x-9)-((4*x-6))=0

Step by step solution :

Step 1 :

Step 2 :

Pulling out like terms :

2.1 Pull out like factors :

6x - 9 = 3 • (2x - 3)

Equation at the end of step 2 :

3 • (2x - 3) - (4x - 6) = 0

Step 3 :

Equation at the end of step 3 :

2x - 3 = 0

Step 4 :

Solving a Single Variable Equation :

4.1 Solve : 2x-3 = 0

Add 3 to both sides of the equation :

2x = 3

Divide both sides of the equation by 2:

x = 3/2 = 1.500

One solution was found :

x = 3/2 = 1.500

3 0

3 years ago

Read 2 more answers

Suppose it takes John 18 minutes to run 3 miles. How long would it take him to run 7 kilometers? round to the nearest minute

alex41 [277]

Answer: 26 Minutes

Step-by-step explanation:

3 mi * 1.609 km/1 mi = 4.82 km

4.82 km/ 18 minutes = 7 km/ x minutes

4.82x=18*7

x=126/4.82

x=26.14 ~ 26 Minutes

8 0

3 years ago

What is the remainder when f(x) = x^2 + 14x − 8 is divided by (x − 5)? 103 88 87 72

il63 [147K]

Answer:

<h2>The answer is 87</h2>

Step-by-step explanation:

f(x) = x² + 14x - 5

To find the reminder when f(x) is divided by x - 5 , substitute the value of x into the above formula

That's

x - 5 = 0

x = 5

So we have

f(5) = 5² + 14(5) - 8

f(5) = 25 + 70 - 8

f(5) = 95 - 8

We have the final answer as

Hope this helps you

7 0

3 years ago