Solve each equation. Show your work or explain your method. Each explanation is worth 2 points. A. 2(x - 3) = 14 b. 12 (x + 10) = 24 c. 1/6(x + 6) = 11

Answer:

The two numbers are 11/8 and 5/6

Step-by-step explanation:

Let the unknown numbers be x and y

Given that the difference of two numbers is 13/24

x - y = 13/24

and  that 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other

11/12 * 1/x = 5/9 * 1/y

11/12x = 5/9y

cross multiply

12x * 5 = 11* 9y

60x = 99y

x = 99y/60

= 33y/20

substitute into x - y = 13/24

33y/20 - y = 13/24

13y/20 = 13/24

24y = 20

y = 20/24

= 5/6

x = 33y/20

= 33 *5/20*6

= 11/8

0.46

Step-by-step explanation:

23÷50= 0.46

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Answer:

1st answer

Step-by-step explanation:

[tex]f(g(x)) = f(4x)=(4x)^2-8(4x)+4\\=16x^2-32x+4[/tex]

Answer:

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 52 =x /8

8 sin 52 =x

6.304086029 = x

Answer:

x=6.3

Step-by-step explanation:

simply

sin 52=x/8

cross multiply

8 sin 52=x

x= 8 x 0.7880

x= 6.3

Hola aquí va la respuesta...!!!

[tex]Which of the following are solutions to the equation below?

Check all that apply.

(2x + 3)2 = 10

3

A. x = 10 +

2

B. x=

7

C. x=-

D. X= V10-3

2

10 - 3

E. x=

F. x = - 0 +

NO

[/tex]

[tex] \bold{salu2}[/tex]

Espero que estés bien !

Answer:

\/10-3/2 and -\/10-3/2

Step-by-step explanation:

\/ is square root / is divided by

Answer:

U = 16206 + 22.2x

Step-by-step explanation:

This year, water usage has increased by 20% for both regular days and special events.. Write an equation for the total water usage, U, at the park this year in terms of x, the number of special events the park has hosted

Solution:

Last year regular usage of water was 13505 gallons, where as it was 18.5 gallons per special event. Let us assume that there were x special invents, hence:

The total usage for last year = 13505 + 18.5x

This year, the total usage (U) increased by 20%, hence:

Total usage for this year (U) = total usage for last year + 20% of total usage for last year

U = (13505 + 18.5x) + 0.2(13505 + 18.5x)

U = 13505 + 18.5x + 2701 + 3.7x

U = 16206 + 22.2x

Answer:

creating then into points for a graph

Answer:

36

Step-by-step explanation:

 72 different kinds of sandwiches can be made using 6 different types of bread, 4 different types of meat, and 3 different types of toppings

Given :

A sandwich shop offers 6 different types of bread, 4 different types of meat, and 3 different types of toppings

bread = 6 , meat=4, toppings=3

Sandwich is made of 1 type of bread, 1 type of meat, and 1 topping.

To find the number of combinations we multiply all the possible types we have

Number of combinations of sandwiches = [tex]6 \cdot 4 \cdot 3=72[/tex]

There are 72 different kinds of sandwiches.

Learn more : brainly.com/question/23045449

Answer:

Step-by-step explanation:

Use the exponential function

[tex]v(t)=a(b)^t[/tex] where a is the initial value of the car, b is the rate of decay, and t is the time in years. For us, a = 18000, b = (1 - .15), so the model for this car is:

[tex]v(t)=18000(.85)^t[/tex]  We can use this model now to find the value, v(t), of the car after 3 years has gone by (from 2006 to 2009 is 3 years):

[tex]v(t)=18000(.85)^3[/tex] and simplifying a bit:

v(t) = 18000(.614125) so

v(t) = 11054.25

Round however you need to.

Answer:

Step-by-step explanation:

1) the maximum value of f(x) = –|x – 4| – 5 is -5 when x = 4

2) the minimum value of f(x) = x2 – 2x +­ 1 is  0 when x = 1

Answer:

97

Step-by-step explanation:

360-117-146 is 97

Gimmi brainest answer :)

Answer: what’s the link about ?

From the figure, We can notice that Sum of the angles (∠AKC and ∠AKE) should be equal to 180°

Because ∠AKC and ∠AKE make a Linear Pair

⇒  ∠AKC + ∠AKE = 180°

⇒  5x + 12x + 27 = 180

⇒  17x = 180 - 27

⇒  17x = 153

⇒  x = 9°

⇒  ∠AKE = 12(9) + 27 = (108 + 27) = 135°

Answer : ∠AKE = 135°

Answer:

x=3, y=-1

Step-by-step explanation:

[tex]3x+y=8, 2x-2y=8[/tex]

Double the first equation, then add the second

  6x+2y=16

+ 2x-2y=8

The y's cancel each other out.

8x=24

x=3

Solve for y

6-2y=8

2y=-2

y=-1

Double check:

6(3)+2(-1)=16

18-2=16

Yay!

Step-by-step explanation:

I think the answer will be step 3

Answer:

Step-by-step explanation:

9+0.75x

1 metre= $9.75

2 metre= $10.50

3 metre= $11.25

4 metre= $12

5 metre= $12.75

6 metre13.50

Answer:

a. 135 is the correct answer

Step-by-step explanation:

Want to find out what the total degrees is of the octagon.

Octagon = 1080

Divide 1080 by 8

135 degrees per angle

Answer:

Option A is correct

Step-by-step explanation:

Hint :

Sum of angles in Regular Octagon = 1080°.

Simplify :

[tex]∴z = 135[/tex]

Answer:

128.57 degrees per each interior angle

Step-by-step explanation:

For interior angles of regular polygons, all you have to do is add 180 degrees to the sum for each side added. For example, from triangle to quadrilateral, you would do 180 + 180 to get 360. Then from quadrilateral to pentagon, you would do 360 + 180 = 540. Do that all the way up to a heptagon and you get a sum of 900 degrees. 900 divided by seven angles will get you 128.57 degrees per interior angle.

Answer:

each interior angle = 128.6°

Step-by-step explanation:

Sum of interior angles of  a polygon with n sides = ( n - 2) x 180°

Given n = 7

So, sum of interior angles = ( 7 - 2 ) x 180 = 900°

Given it is regular,

      therefore each interior angle :

                                             [tex]\frac{900}{7} = 128.6^\circ[/tex]

Answer: 0.033 liters or 33 ml each

Step-by-step explanation:

There are 33 liters of orange juice and 1,010 students to drink it.

If they are to drink an equal amount, you should divide the quantity of orange juice by the number of students who want to drink it:

= Quantity of orange juice / Number of students drinking

= 33 / 1,010

= 0.033 liters each

In milliliters this would be:

= 0.033 * 1,000 milliliters

= 33 ml each

Answer:

Step-by-step explanation:

Liz earnings per hour = $ 9.28

Liz earnings for 5.5 hours = 9.28 * 5.5

                                          = $ 51.04

Answer:

x = 20

Step-by-step explanation:

The diagonals of a kite are perpendicular to each other, so the 4 angles at the  intersection are right.

The sum of the 3 angles in a triangle sum to 180° , then

2x + 2x + 10 + 90 = 180

4x + 100 = 180 ( subtract 100 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

Answer:

20 is the answer

Step-by-step explanation:

Correct for Acellus!

Answer:

a)

The discount id 40%, so the function is:

b)

The graph is attached

c)

Sale price is:

Answer:

please give me some thanks please good morning

Answer: 145≤40+4.5v

Step-by-step explanation: have a blessed day !

Answer:

x = 9

Step-by-step explanation:

create a ratio between the triangles:

x/6 = 12/8; cross multiply

72 = 8x; divide 8 on both sides

x = 9

Answer:

D: 78 ft2    

Step-by-step explanation:

6x13=78

Answer:

Rectangle

Result

Area = l × w

= 13 × 6

= 78 feet2

Step-by-step explanation:

#Brainliestbunch

Answer should be 21

=

189

9

=

21

Answer:

y = 3x - 8

Step-by-step explanation:

Finding the equation in point-slope form is easier.  The result can then be put into slope-intercept form.

The point-slope formula is y - k = m(x - h).  With the given point (h, k) being (4, 4), h = 4 and k = 4.  The slope is 3.  Therefore, we have:

y - 4 = 3(x - 4), or

y = 4 + 3x - 12

This simplifies to the slope-intercept form y = 3x - 8

Answer:

7 in

Step-by-step explanation:

Process of elimination. It can’t be 9 or 10, because 9+9=18 and 10+10=20 (they're more than 16). 8+8=16 exactly, but there’s no room in 16 for the width. Therefore, it’s 7 because 7+7=14