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3 years ago

Express the following as a single fraction in its simplest form

Mathematics

1 answer:

il63 [147K]3 years ago

5 0

Answer:

4x-18y-18/12

Step-by-step explanation:

x/3 - 2(y+1)/4

1. Find the Least Common Multiple for the denominators (in this case it is 12)

4x/12 - 6(3y+3)/12

2. Use PEMDAS

4x/12 - 18y+18/12

3. Distribute the arithmetic sign

4x/12 + -18y-18/12

4. Combine the fractions

4x-18y-18/12

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If y varies directly as x, and y =6 when x =10, find x when y=18

bonufazy [111]

Answer:

X=30

Step-by-step explanation:

y=kx

6=10k

k=0.6

y=0.6x

18=0.6x

X=18/0.6

x=30

7 0

3 years ago

On a coordinate plane, triangle J K L has points (negative 2, 1), (0, 3), and (2, negative 1). Reflect the figure over the line

svetlana [45]

Answer:

J'(2, 1)

K'(0, 3)

Step-by-step explanation:

On a coordinate plane, coordinates of the points J, K and L are (-2, 1), (0, 3) and (2, -1) respectively.

If we reflect these points over the line x = 0 or y-axis, rule to be followed is

(x, y) → (-x, y)

Only sign of x coordinates get changed while y coordinates remain the same.

Following this rule coordinates of the images of J' and K' will be

J(-2, 1) → J'(2, 1)

and K(0, 3) → K'(0, 3)

6 0

3 years ago

Read 2 more answers

Russell is eating at a restaurant. His total bill comes to $45.10. If Russell decides to leave a tip that is approximately 25% o

olga2289 [7]

Answer:

$11.28

Step-by-step explanation:

45.10 x 0.25

4 0

2 years ago

What is the solution of the inequality 2x - 9<7?

notka56 [123]

I think it is d I think not sure tho

5 0

3 years ago

Vending machines can be adjusted to reject coins above and below certain weights. The weights of legal U.S. quarters have a norm

tigry1 [53]

Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%

Step-by-step explanation:

Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.

Let x be the weights of legal U.S. quarters .

Required probability: $P(x5.81)$

$=P(\dfrac{x-\mu}{\sigma}\dfrac{5.81-5.67}{0.07})\\\\=P(z2)\approx0.02275 \ \ \ [By\ P-value\ calculator]$

The percentage of legal quarters will be rejected by the vending machine = 2.275%

5 0

2 years ago

Express the following as a single fraction in its simplest form ​

Express the following as a single fraction in its simplest form