Express the ratio as a fraction in simplest form.

18:24

1/2

2/3

3/4

6/7

Answer:

x=5 and y=16

Step-by-step explanation:

x = number of pants

y = number of shirts

Set up equations:

Set the equations up as a system:

25x+14.5y=357

x+y=21

Steps:

Solve the system by substitution.

(You can also solve this system by elimination.)

25x + 14.5y=  357

x + y = 21

Step 1: Solve x+y=21 for x:

(x + y) − y = (21) − y(Subtract y from both sides)

x = −y + 21

Step 2: Substitute −y + 21 for x in 25x + 14.5y = 357:

25x + 14.5y = 357

25(−y + 21) + 14.5y = 357

−10.5y + 525 = 357 (Simplify both sides of the equation)

(−10.5y + 525) − 525 = (357) − 525(Subtract 525 to both sides)

−10.5y =  −168

−10.5y / −10.5 = −168 / −10.5 (Divide both sides by -10.5)

y = 16

Step 3: Substitute 16 for y in x = −y + 21:

x = −y + 21

x = −16 + 21

x = 5 (Simplify both sides of the equation)

Answer:

x=5 and y=16

The circle has center O. Its radius is 6 cm, and the central angle measures 40. What is the area of the shaded region? Give the exact answer in terms of π, and be sure to include the correct unit in your answer.

Answer:

= 4π

Step-by-step explanation:

Area of the shaded region

Sector area = (central angle)/360° x area of circle

= (central angle)/360° x πr²

= 40°/360° x π6²

= 1/9 x 36π

= 36π/9

= 4π

Answer:

steps below

Step-by-step explanation:

x²/16 + y²/36= 1

x²/4² + y²/6²= 1

Eclipse center ed origin: standard formula  

²/radius of minor axis + y²/ radius of major axis =1

Vertices of major axis: (6 , 0) and (-6 , 0) ... horizontal

vertices of minor axis: (0 , 2) and (0 , -2)  ... vertical

Answer:

39

Step-by-step explanation:

Let, total rooms girls booked be x and total rooms girls booked be y.

entire hotel was booked except two rooms.

so, total = 158-2 = 156

x+ y = 156

this is equation 1.

also, girls are using three times more room than boys.

so, y=3x

substituting y=3x in 1st equation,

x+ 3x = 156

or, 4x = 156

or, x= 156/4

x= 39

Answer:

8/50

Step-by-step explanation:

2/10 x 4/5 = 8/50

Hope that helps!

Answer:

Major Arc

Step-by-step explanation:

because it's bigger then half of the circle

Answer:

it's probably a major arc because it is bigger than half of a circle

Answer:

Lara started with the number 15.

Step-by-step explanation:

In order to solve this problem, you can write an equation representing the situation. You can do this by applying the described actions to a variable; I'll use n for this:

(n ÷ 2 + 6) ÷ 3 = 4.5

Now, you can just solve this equation for n:

(n ÷ 2 + 6) ÷ 3 = 4.5 (given)

n ÷ 2 + 6 = 13.5 (multiply both sides by 3)

n ÷ 2 = 7.5 (subtract 6 from both sides)

n = 15 (multiply both sides by 2)

So, now you know that Lara's starting number was 15.

Answer: 10

Step-by-step explanation:

a+b where a=3 and b=7 so (3)+(7)=10

Answer:

10

Step-by-step explanation:

If you add 3+7 (a+b), you'll get 10. Hope that helps!

Answer:

17

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(30 - 22)² + (27 - 12)²

√(8)² + (15)²

√ 64 + 225

√289

= 17

Answer:

The coordinates of the point S could be;

A. (-1, -1)

Step-by-step explanation:

The given parameters are;

The ratio of the length of the line RS to the length of the line RT = 1:2

The coordinates of point R = (2. 5)

The coordinates point T = (-4, -7)

Therefore, we have;

[tex]\dfrac{The \ length \ of \, RS}{The \ length \ of \, RT} = \dfrac{1}{2}[/tex]

[tex]\therefore {The \ length \ of \, RS} = \dfrac{1}{2} \times The \ length \ of \, RT[/tex]

The length of the line RT = √(((2 - (-4))² + (5 - (-7))²) = 6·√5

Therefore, we have;

[tex]{The \ length \ of \, RS} = \dfrac{1}{2} \times 6\cdot \sqrt{5} = 3 \cdot \sqrt{5}[/tex]

When the coordinates of the point S = (-1, -1), we have;

The length of the line RS = √(((2 - (-1))² + (5 - (-1))²) = √45 = 3·√5

Therefore, the coordinates of the point S could be (-1, -1)

Answer:

Step-by-step explanation:

Polygon is regular when all angles are congruent and all sides are congruent.

So, the given polygon is square.

Answer:

A=270 in^2

Step-by-step explanation:

A=d1*d2/2 formula for A using the diagonals

A=45*12/2

A=540/2

A=270 in^2

Answer: 15 cans of sprite

Step-by-step explanation:

5 cans of coke and 3 cans of sprite

then its

25 cans of coke and 15 cans of sprite

Answer:

27

Step-by-step explanation:

here's your solution

=> a = 3

=> b= 7

=> the given expression is ( 2a + 3b)

=> bu putting value of a and b in equation

=> we get , (3*2 + 7*3)

=> 27

hope it helps

Answer:

747+9+83=839

Step-by-step explanation:

We can use 9x83=747 as a extra help to get the answer. Say you need the answer above (which I gave you) so you get 9x83 as an example to help figure out 749+9+83=839.

Answer:

Step-by-step explanation:

The slope of the line passing through two given points:  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(-2, 8)   ⇒   x₁ = -2,  y₁ = 8

(-22, 8)   ⇒     x₂ = -22,  y₂ = 8

So, the slope:

                     [tex]m=\dfrac{8-8}{-22-(-2)}=\dfrac{0}{-20}=0[/tex]

tem que ser portugeis lindo tchua feio

Step-by-step explanation:

aaahahahahajababababaabb ano reposta e eeeeee 3992

Answer:

your answer will be x=13

Step-by-step explanation:

hope it helps.

Answer:

h= 2/3d

Step-by-step explanation:

slope is the change of y value on the change of x value

4/6 = 2/3

Answer:

6.5%

Step-by-step explanation:

1000 in a box and he orders 5 boxes.

1000x5= 5000

So he orders 5000 paper clips

1 box is £15.40 and he order 5, so £15.40x5= £77

£77 is between £55 and £79.99 so he will get 6.5% discount.

After the discount he will pay  £71.99

Answer:

8x - 5  ≤ 25

Step-by-step explanation:

Given that the unknown number is x

product of 8 and a number is expressed as 8x

five substracted from the product of 8 and a number is expressed as 8x - 5

Since this expression is at most 25, the inequality sign that you are to use will be ≤ (less than or equal to) since it cannot be greater than 25. Hence the required inequality expression is 8x - 5  ≤ 25

Answer:

The answer is "5"

Step-by-step explanation:

Please find the complete question in the attached file.

Given values:

[tex]15 \ miles /hour\\\\10\ miles /hour[/tex]

When we calculating the difference so, it is "5" because 15 -10=5

Answer:

Step-by-step explanation:

First you start with -5+3/4 which is -4.25 then you subtract 1/8 which is 4.375

Then you subtract it by 1 to find x. So your answer is 3 3/8

Brainlest please

Answer:

Step-by-step explanation:

∠BEF  = ∠CFE             {Alternate interior angles}

5x - 10 = 4x + 20           {Subtract 4x from both sides}

5x - 4x - 10 = 20

        x - 10 = 20          {Add 10 to both sides}

             x  = 20 +10

x = 30°

Answer:

answer is selling price=$1411

Step-by-step explanation:

discount percentage=100%-15%=85%

Answer:

3x+14

Step-by-step explanation:

4(8)+3(x-6)

=32+3x-18

=3x+14