The denominator of a fraction is three more than its numerator. When both the numerator and denominator are increased by one the fraction becomes 1/2. What is the original fraction?

Answer:

The distance between them is 5km

Step-by-step explanation:

Given

[tex]Car\ A =4km[/tex]

[tex]Car\ B =3km[/tex]

Required

Distance between them

The scenario can be represented with the attached image

The distance between them is then calculated using Pythagoras theorem

[tex]d^2 = 4^2 +3^2[/tex]

[tex]d^2 = 16 +9[/tex]

[tex]d^2 = 25[/tex]

Take square roots of both sides

[tex]d = \sqrt{25[/tex]

[tex]d = 5[/tex]

Answer:

( Hint)

Step-by-step explanation:

55-5= 5x>-25-5

50= 5x>-30

10=x>-6

Answer:

Long part= 45

Short part= 25

Step-by-step explanation:

Let the short part of the stick be x

Let the long part be x+20

The total length of the stick is 70cm

x + (x+20)= 70

x+x+20= 70

2x+20= 70

2x= 70-20

2x= 50

x= 50/2

= 25

Longer part length= 20+25

= 45

The short part is 25

Answer:

Hello! answer: 1,200

Step-by-step explanation:

We know he pays 720 in a year so i divide that by 12 so... 720 ÷ 12 = 60 so he pays 60 each month for his telephone service since thats only 1/20 of his earning what I do is 60 × 20 and we get 1200 so craig makes 1200 a month hope that helps!

$1200, Craig earns each month.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Let's assume Craig earns $x per month.

The telephone bill is 1/20 of his monthly earnings, which is (1/20)x.

He pays a total of $720 each year for his telephone service.

Since there are 12 months in a year,

he pays (1/12) * 720 = $60 per month for his telephone service.

Therefore,

(1/20)x + $60 = x,

as he earns the same amount each month.

Simplifying the equation,

we get x/20 = $60

Multiplying both sides by 20,

we get x = $1,200

Therefore, Craig earns $1,200 per month.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ3

Answer:

1

Step-by-step explanation:

m/8n > 4/8(1/2) ( since its 1/2 all u need to do is change the fraction to whole number which is 1/2 = 0.5)

The given will become 4/4 then simplest form is 1

Step-by-step explanation:

I=?

P= $4500

R=8%=0.08

T=1 year

8%*0.01= 0.08

I=(4500)(0.08)(1)

(4500)(0.08)=360

360*1=360

The interest after one year is $360

Answer: 384

Step-by-step explanation: 10% also equals 0.1 so, 3840*0.1 = 384.

Answer:

$3840

Step-by-step explanation:

10%= x/10 and the x is equal to 3840. 3840/10=384 now that I know what %10 of 3840 I can take off the discount price onto the original price,                 3840-384=3456. So 3456 is the final price after including the 10% discount.

Answer:

13cm

Step-by-step explanation:

Let the given lengths be the opposte amd adjacent sides of a right triangle'

The missing side will be the hypotenuse

Using the pythagoras theorem;

hyp^2  = 5² + 12²

hyp² = 25 + 144

hyp² = 169

hyp =√169

hyp = 13cm

Hence the missing one is 13cm

Answer:

It's a right angle triangle with

                        [tex]tan 12 = \frac{500}{x} \\\\x = \frac{500}{tan12}\\\\x = 2352.3ft[/tex]

Answer: 303

Step-by-step explanation:

Answer:

Step-by-step explanation:

Nope<3;p

Answer:

I believe the answer is 58.1 degrees

Step-by-step explanation:

acrsin 45/53=58.1

45/53 is the sin of P

Answer:

x and y =   5√2.

Step-by-step explanation:

This is a 45:45:90 triangle so length of x = length of y.

In this triangle the ratio of the sides is 1:1:√2

Finding length of x and y:

1/√2 = x/10

√2x = 10

x = 10/√2

=  10√2/2

=  5√2.

Answer:

11.70

Step-by-step explanation:

d=√((16-5)^2+(14-10)^2)=11.7046999...

Answer:

G = 50

Step-by-step explanation:

50 is the initial after-cost, right?

answer is : The function formula will be

Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

Step-by-step explanation:Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

Answer:

The answer would be 17

Step-by-step explanation:

The answer would be 17 because if you add 12 plus 5 That would be your answer

Answer:

The scale is 1:200

Step-by-step explanation:

On the plan we have the drawing as 6 cm

In real representation, we have the distance as 12 m

Firstly we have to convert to same unit

In this case, we use the cm for convenience

Mathematically, 100 cm is 1 m

Thus, 12 m

will be 12 * 100 = 1,200 cm

So, we have the ratio as;

6 cm : 1,200 cm

and that is 1:200 (since 6/1200 = 1/200 and in ratio form, we have that as 1:200)

[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]

C.) 64 to 66 seconds

because, the function is decreasing with respect to time between interval 64 to 66 seconds.

[tex]\#TeeNForeveR[/tex]

Answer:

arwa

Step-by-step explanation:

A scalene triangle has no equal length sides. It also has no equal inside angles. These triangles can be acute (all angles less than 90°), right-angled (one angle is 90°), or obtuse (one angle is more than 90°)

Answer:

Right scalene triangle

Step-by-step explanation:

Scalene triangles have no equal sides. A right scalene triangle has no equal sides, and one right angle.

Answer:

x = 16

Step-by-step explanation:

*A triangle's interior angles always add up to 180 degrees*

1. The square on the left-hand side means 90 degrees

2. To find the degrees on the 150 degrees side we need to subtract 180 from 150  as the line it's on equals 180 degrees

180 -151 = 29

3. Now we know 3 out of the two angles, so if we add them up and subtract them from 180 degrees we will have the 3rd angle

29 +90 = 119

180 - 119 = 61

4. Now we can put that in with the equation

4x + 3 = 61

5. Solve

4x - 3 = 61

    + 3   +3

4x = 64

/4     /4

x = 16

Answer:

The answer is r^10s^6/r-5s^9= r^10/r-^5 = r^15

Step-by-step explanation:

the answer is r^15

Answer:

p because variables are shown by letters not numbers

Hope this helped:)

Step-by-step explanation:

Rule: If x is the leg of a 45-45-90 triangle, then x*sqrt(2) is the hypotenuse.

We can prove this by showing that x^2+x^2 = (x*sqrt(2))^2 is an identity. It's from the pythagorean theorem a^2+b^2 = c^2.

Put another way, if we know that a = x and b = x are the two congruent legs, then x^2+x^2 = c^2 leads to c = x*sqrt(2). This triangle is known as an isosceles right triangle.

So if 4*sqrt(2) is the hypotenuse, we match that up with the template x*sqrt(2) and see that x = 4 must be the case.

Answer:

A linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.

Answer: is a diagram which shows a connection or relation between two or more quantity.

Step-by-step explanation:

Answer:

339.29

Step-by-step explanation:

Use formula for cylinder: [tex]V=\pi r^2h[/tex].

Note: I rounded to the nearest hundreth.

Answer:

The answer is still 15. Because

Answer:

The second one I think

Step-by-step explanation:

Answer:

Center: (−3,2)

Radius: 3

Step-by-step explanation:

Answer:

Yea you correct, you answer is right