All categories

2 years ago

Express the quotient as a fraction in simplest form

Mathematics

2 answers:

Artemon [7]2 years ago

7 0

Answer:

-5/6

Step-by-step explanation:

A great way to divide fractions is to use the "leave it, change it, flip it" method. You leave the first fraction as it is, change the division sign to a multiplication sign, and flip the second fraction so you get the reciprocal. Like this:

-5/7 ÷ 6/7

-5/7 x 6/7

-5/7 x 7/6

Then you multiply through. First -5 x 7, -35, and then 7 x 6, 42, to get -35/42. Because both of these are divisible by 7, we can simplify to get -5/6.

Alexxandr [17]2 years ago

4 0

Answer:

-5

Step-by-step explanation:

⇒ $\frac{-5}{7}$ ÷ $\frac{6}{7}$

⇒ $\frac{-5}{7}$ × $\frac{7}{6}$

(We do this because when dividing a fraction by another fraction we take the inverse of the second fraction and multiply it to the first fraction.)

⇒ -5 × 7 = -35 (to simplify just divide both by 7) = -5

7 × 6 42 6

So the answer is -5

6

You might be interested in

Molly bought a pair of gloves and a skirt. The gloves cost £4. She sold the gloves and skirt for a total of £48. She made 100% p

Nimfa-mama [501]

Answer:

Profit % = 111.1 %

Step-by-step explanation:

Cost of glove = £4

Sales price of glove and skirt = £48

100% profits on the cost of the glove

20% profit on the total cost

Profit on the total cost = 20% = 0.20

Total cost + 0.20 total cost = Sale value

1.20 * total cost = 48

Total cost = 48 / 1.20

Total cost = 40

Cost of the skirt = Total cost - cost of the gloves

Cost of the skirt = 40 - 4

= 36

Price of the skirt = total value - price of the gloves

Total value = £48

100% of £4 = 100/100 * £4

= £4

Profits + cost of glove = $8

Amount remaining = £48 - £8

= £40

Profit percentage on the skirt = price of the skirt / cost of the skirt

= 40 / 36 * 100

= 1.1111 * 100

Profit % = 111.1 %

3 0

4 years ago

Which does NOT represent a function a b c d

mote1985 [20]

the answer is d
hope this helps

6 0

3 years ago

Manuel wants to buy a new bicycle.He found one on sale for 10% off the original price.If the original price was $206.00, how muc

hram777 [196]

So, because the bike was 10% off, we know that the bike is now at 90% of its original value (100%-10% = 90%)
So to find the new value, we multiply the price by 90%:
0.9*206 = 185.4
The bike will cost Manuel $185.4

3 0

3 years ago

Read 2 more answers

The perimeter of a fence must be no larger than 500 feet in length. The longer side of the fence must be 10 feet more than twice

Lady bird [3.3K]

Answer:

The shortest side of the fence can have a maximum length of 80 feet

Step-by-step explanation:

Inequalities

To solve the problem, we use the following variables:

x=length of the longer side

y=length of the sorter side

The perimeter of a rectangle is calculated as:

P = 2x + 2y

The perimeter of the fence must be no larger than 500 feet. This condition can be written as:

$2x + 2y \le 500$

The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.

This can be expressed as:

x = 10 + 2y

Substituting into the inequality:

$2(10 + 2y) + 2y \le 500$

This is the inequality needed to determine the maximum length of the shorter side of the fence.

Operating:

$20 + 4y + 2y \le 500$

Simplifying:

$20 + 6y \le 500$

Subtracting 20:

$6y \le 500 - 20$

$6y \le 480$

Solving:

$y \le 480 / 6$

$y \le 80$

The shortest side of the fence can have a maximum length of 80 feet

4 0

3 years ago

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If a fu

natta225 [31]

Answer:

See Explanation

Step-by-step explanation:

If a Function is differentiable at a point c, it is also continuous at that point.

but be careful, to not assume that the inverse statement is true if a fuction is Continuous it doest not mean it is necessarily differentiable, it must satisfy the two conditions.

the function must have one and only one tangent at x=c
the fore mentioned tangent cannot be a vertical line.

And

If function is differentiable at a point x, then function must also be continuous at x. but The converse does not hold, a continuous function need not be differentiable.

For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.

5 0

3 years ago