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Katen [24]
3 years ago
13

The denominator of a fraction is one more than the numerator. If 3 is subtracted to

Mathematics
1 answer:
polet [3.4K]3 years ago
6 0

Answer:

\frac{4}{5}

Step-by-step explanation:

let the original fraction be

\frac{n}{n+1} ( with denominator 1 more than numerator )

Subtracting 3 from numerator/ denominator gives

\frac{n-3}{n+1-3} = \frac{n-3}{n-2}

Given that the fraction is now equivalent to \frac{1}{2} , then

\frac{n-3}{n-2} = \frac{1}{2} ( cross- multiply )

2(n - 3) = n - 2, distribute left side

2n - 6 = n - 2 ( subtract n from both sides )

n - 6 = - 2 ( add 6 to both sides )

n = 4

and n + 1 = 4 + 1 = 5

Thus original fraction is \frac{4}{5}

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Measurement: Customary Units", then answer each of the following questions. Round answers to the nearest hundredth, if necessary
Neporo4naja [7]

Solution

For this case we have the following amount: 35 pints

We want to convert this into quarts so we can do this:

35Pts\cdot\frac{1quart}{2Pts}=17.5\text{quarts}

Then the answer rounded to the nearest hundredth is:

17.50 quarts

3 0
8 months ago
How do I find a percent of a number?
ddd [48]
You can take 0.48 as a number, multiply by 100 to that and you get 48%
3 0
3 years ago
Triangle WXY is isosceles. ∠YWX and ∠YXW are the base angles. YZ bisects ∠WYX. m∠XYZ = (15x)°. m∠YXZ = (2x + 5)°. What is the me
DiKsa [7]

Answer:

Option D is correct.

The measure of \angleWYX = 150^{\circ}

Step-by-step explanation:

\triangle WXY is isosceles  and \angle YWX and \angle YXW are base angles.

Isosceles Triangle:

A triangle with two equal sides, and two congruent base angles that means the angles are equal

By the definition, the base angles are equal i.e, m\angle YWX=m\angle YXW

Since, YZ bisects m\angle WYX

Angle Bisector theorem: An angle bisector is a line or ray that divides an angle into two equal angles

then, \angle WYX =2\angle XYZ or

Substitute the value of \angle XYZ=(15x)^{\circ} ;

\angle WYX =2(15x)^{\circ} = (30x)^{\circ}

The sum of measures of these three angles of  triangle WXY is equal to the 180 degree.

In triangle WXY we have;

\angle YXW+\angle WYX+\angle YWX=180^{\circ}

Substitute the value of m\angle YWX=m\angle YXW=(2x+5)^{\circ} and \angle WYX=(30x)^{\circ} in above formula:

2\angle YXW+30x=180^{\circ} or

2\cdot(2x+5)+30x=180^{\circ}

Simplify:

4x+10+30x=180^{\circ}

Combine like terms ;

34x+10^{\circ}=180^{\circ} or

34x=170^{\circ}

Simplify;

x= \frac{170}{34} =5^{\circ}

Substitute the value of x in  \angle WYX;

\angleWYX = (30x)^{\circ} = 30 \cdot 5 = 150^{\circ}

Therefore, the measure of \angleWYX = 150^{\circ}






7 0
3 years ago
Read 2 more answers
A box of oat cereal costs $3.90 for 15 ounces.A box of rice cereal costs $3.30 for 11 ounces.Which box of cereal costs less per
allsm [11]
To solve this is you have to find the price per ounce for each item by simply dividing the price by the ounces.

For the oat cereal divide $3.90 by 15

3.90/15

.26 per ounce

For the rice cereal divide $3.30 by 11

3.30/11

.30 per ounce

The oat cereal costs less per ounce since it is only .26 per ounce whereas the rice cereal is .30 per ounce.

Hope this helps!
3 0
3 years ago
Pete’s Painting Company will charge a one-time fee of $60 for labor and $20 for each room painted. Carla’s Creative Colors will
Nadya [2.5K]

Answer:

Pete's: f(x) = 20x + 60

Carla's: f(x) = 40x + 20

Step-by-step explanation:

Let's assume that x is the amount of rooms painted, and f(x)

For Pete's Painting Company, they charge a flat fee of $60, so we will have a constant of 60.

They also charge 20$ per room, meaning that we will multiply 20 by x, the amount of rooms painted.

This gets us the function f(x) = 20x + 60

For Carla's Creative Colors, they charge 20$ to hire the workers, meaning this will be our constant.

They also charge $40 a room, meaning we will multiply 40 by x, the amount of rooms painted.

So the function is  f(x) = 40x + 20.

Hope this helped!

3 0
3 years ago
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