The numerator of a fraction is 2 less than the denominator. A new fraction can be formed by adding 5 to the denominator and doubling the numerator. The product of the original fraction and the reciprocal of the new fraction is 1/4. What is the original fraction?​

Answer:

y/2 = 4.5

Step-by-step explanation:

1/4x + 2y = 11/4

distribute by 4 to eliminate fractions

  x + 8y = 11

+ -x - 6y = 7

        2y = 18

          y = 9

half of 9 = 4 1/2

Answer:

180

Step-by-step explanation:

I think so but not sure.

Answer:

119

Step-by-step explanation:

Step-by-step explanation:

We need to solve the given fractions.

(1) [tex]18\times \dfrac{2}{12}=3[/tex]

(2)

[tex]2\dfrac{2}{3}\times 2\dfrac{1}{4}\\\\=\dfrac{8}{3}\times \dfrac{9}{4}\\\\=6[/tex]

(3) [tex]\dfrac{3}{5}\div 9[/tex]

We know that, [tex]\dfrac{x}{y}\div \dfrac{a}{b}=\dfrac{x}{y}\times \dfrac{b}{a}[/tex]

So,

[tex]\dfrac{3}{5}\div 9=\dfrac{3}{5}\times \dfrac{1}{9}\\\\=\dfrac{1}{15}[/tex]

Hence, this is the required solution.

Answer:

x=8c

or

x=8

Step-by-step explanation:

Hope that helps :)

Answer: X=-1, Y=1

Step-by-step explanation:

The answer to this problem is:

X= -1  Y=1

Answer:

7x + 13

Step-by-step explanation:

I know m math

We have a parallelogram and a half of circle.

[tex]A=\frac{\pi r^{2} }{2}[/tex]

Approaching π to 3,14

parallelogram:

b=26

h=13

A=13*26

A=338

Half circle:

r=12

A=(3,14*12²)/2

A=226,08

Answer:

at 12 hours, it's 9 inches.

at 14 hours, it's 14 inches.

at 13 hours it's 16 inches.

I'm not sure if you needed how many inches it snowed an hour, or if you just needed the hours and inches. My apologies.

Answer:

(10,-10)

Step-by-step explanation:

Answer: the 100th term of the sequence =-273 (1)

Step-by-step explanation:

Since the first term = 222

and d  (common difference )=-5 Then we are talking about an arithmetic progression

The nth term of an Arithmetic progression is given as

Tn=a + (n - 1)d

Therefore given that n =100

Tn=a + (n - 1)d = 222 +(100-1)-5

222+ (99)-5

222-495=-273

Answer:

[tex]3x - 70 = 50 + x \\ 2x = 120 \\ x = 60[/tex]

so ..

X=60

and

3x-70=180-60=110

Step-by-step explanation:

Answer:

angle LKM = 110 degrees

Step-by-step explanation:

angle JKL = 180 - (3x-70) because they are supplementary angles

angle JKL + x + 50 = 180 degrees because the sum of all the interior angles of a triangle equals 180 degrees

substituting for angle JKL:

180 - (3x - 70) + x + 50 = 180

180 - 3x +70 + x + 50 = 180

simplify:

-2x = -120

x = 60 degrees

angle LKM = 3(60)-70 = 110 degrees

Answer:

-26 is your answer

Step-by-step explanation: 2³ first which = 8 then solve in the parenthesis and all inside parenthesis = -19 so now you have -19+9-4². Now, solve 4² which = 16 so now you have -19+9-16 then solve that and it should give you -26.

Hope this helped you!!!!

Answer:

54 degrees

Step-by-step explanation:

Every side of a regular pentagon is same.

So we have an  isosceles triangle. The  correspond angle of y, must equal to y (degree) too.

Also, every inner angle of a regular pentagon is 360/5=72. So we can calculate angle y, by the equation y+y+72=180.

y=54

Answer:

55 degrees

Step-by-step explanation:

Complementary angles are two angles that equal 90 degrees together so if one angle is 35 degrees then the other must be able to add towards that to make 90 degrees

90=35+∠2

-35     -35

55=∠2

Answer:

A = 12.68 degrees

I don't know how to say this in simplest radical form

Step-by-step explanation:

tan A = 9/40 = 0.225

A = 12.68 degrees

9514 1404 393

Answer:

  B. The triangles are congruent by AAS

Step-by-step explanation:

Side WY is part of both triangles and congruent to itself. It is not between the two marked angles, and is opposite the same angle. The appropriate choice is ...

  B. The triangles are congruent by AAS

Answer (assuming it can be in slope-intercept form):

y = x - 5

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], and substitute the x and y values of the given points into it. Then, solve:

[tex]m = \frac{(2)-(1)}{(7)-(6)} \\m = \frac{2-1}{7-6} \\m = \frac{1}{1} \\m = 1[/tex]

2) Now that we know the slope and at least one point the line crosses through, we can write an equation of the line in point-slope form, or [tex]y-y_1 = m (x-x_1)[/tex]. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

Since [tex]m[/tex] represents the slope, substitute 1 for it. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, use any one of the given points (either one is fine, either way the equation will represent the same line) and substitute its x and y values into the equation. (I chose the point (6, 1), as seen below.) Finally, isolate y to put the equation in slope-intercept form.

[tex]y-1 = 1(x-6)\\y -1 = x-6\\y = x -5[/tex]

Answer:

Step-by-step explanation:

x = -y + 10

Substitute into the second equation

-y + 10 = y + 4

-2y = -6

y = 3

Plug into first or second equation.

x = -3 + 10 = 7

x = 3 + 4 = 7

So the ordered pair is (7,3)

Answer:

D

Step-by-step explanation:

the answer is d because the quadrilateral is in quadrant 3 which is (-,-)

Answer:

D

Step-by-step explanation:

Answer:

105cm

Step-by-step explanation:

Answer:

105cm^2

Step-by-step explanation:

Divide shape into a rectangle and a triangle.

Area of rectangle=6*15=90

Height of triangle=11-6=5

Base of triangle=15-9=6

Area of triangle=5*6/2=15

Total area=90+15=105cm^2

Answer:

C find ur x value by solving the simultaneous equations

Answer:

-2

Step-by-step explanation:

6x+4y=-14. X=-2y+7

—————

3

Answer:

$123.75

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

I added all the things she bought and subtracted it by the total and got B. 123.75

Answer:

1st answer is 6, 2nd is 5, 3rd is 5

Step-by-step explanation:

3x-2=x+10

3x-x=10+2

2x=12

x=12÷2

x=6

x+4=19-2x

x+2x=19-4

3x=15

x=15÷3

x=5

8z-20=z+15

8z-z=15+20

7z=35

z=35÷7

z=5

plzz mark me as brainliest

Answer:

3x-2=x+10

x=6

x+4=19-2x

x=5

8z-20=z+15

z=5

Step-by-step explanation:

3x-2=x+10

+2 on both sides

3x-2(+2)=x+10(+2)  =>  3x=x+12

subtract x on both sides

3x(-x)=x(-x)+12   =>  2x=12

divide 2 on both sides

2x/2=12/2

= x=6

x+4=19-2x

subtract 4 on both sides

x+4(-4)=19(-4)-2x    =>    x=15-2x

add 2x on both sides    

x(+2x)=15-2x(+2x)     =>    3x=15

divide 3 on both sides

3x/3=15/3

= x=5

8z-20=z+15

subtract z on both sides

8z(-z)-20=z(-z)+15    =>  7z-20=15

add 20 on both sides

7z-20(+20)=15(+20)

7z=35

divide 7 on both sides

7z/7=35/7

= z=5

Answer:

yay free brainlest

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Looking at the question we will notice that every 6 that Troy puts together Drake makes 10 so its simple, Troy makes 18 so we divide that by 6 meaning we get 3. We then get 3 and multiply it by 10, Thus 30 shall be our answer.

Answer:

T = 0.7(220 – a)

Step-by-step explantion:

Hope it helped