The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.

Answer:

790,000

Step-by-step explanation:

Take the place behind the place you're trying to round from, (thousands place in this case) and if that number is 5 or above, which it is, you round up. (790,000). If it's 4 or below, keep it as is.

Answer:

2ay

Step-by-step explanation:

a(x+y)-a(x-y)

Distribute

ax +ay - ax + ay

Combine like terms

2ay

Work Shown:

a(x+y)-a(x-y)

ax+ay-ax+ay

(ax-ax)+(ay+ay)

(0ax)+(2ay)

0+2ay

2ay

9514 1404 393

Answer:

  D.  9

Step-by-step explanation:

The segment lengths are equal, so ...

  x^2 = 90-x

  x^2 +x -90 = 0 . . . . . . add x-90 to put in standard form

  (x +10)(x -9) = 0 . . . . . factor

The solutions are the values of x that make the factors zero: -10, 9.

The positive value of x is 9.

Answer:

204+272+9

Step-by-step explanation:

Answer:

3.73 hours

Explanation:

In 1 hour, Lisa does 1/7th of the order while Bill does 1/8th of the order in an hour. To find out how long it will take them to fill the order, we have to:

Step 1:

Add the rate of both Lisa and Bill together

1/7 + 1/8

Step 2:

Since both denominators of the fractions are different, you have to find the least common multiple of 7 and 8

7·8= 56    8·7= 56

which is 56.

Step 3:

Then, you have to multiply the numerator of 1/7 with 8 and the numerator of 1/8 with 7.

1·8= 8    1·7= 7

The fractions would now have equal denominators:

Lisa: 8/56    Bill: 7/56

Step 4:

Now, you can add them together

8/56 + 7/56

which equals to 15/56. Both Lisa and Bill together completes 15/56th of the order in 1 hour.

Step 5:

15/56 is not the final answer as it is the RATE of them working together. To find how long it will take them total to complete the order, you must divide 56 with 15.

56/15

which is 3.73 hours in decimal form (rounded).

Answer:

The answer is 1.8.

Step-by-step explanation:

Answer:f(x, y) = e

−xy. For the interior of the region, we find the critical points:

fx = −ye−xy

, fy = −xe−xy, so the only critical point is (0, 0), and f(0, 0) = 1.

For the boundary, we use Lagrange multipliers.

g(x, y) = x

2 + 4y

2 = 1 ⇒ λ∇g = h2λx, 8λyi, so setting ∇f = λ∇g we get

−ye−xy = 2λx and −xe−xy = 8λy. The first of these gives e

−xy = −2λx/y,

and then the second gives −x(−2λx/y) = 8λy ⇒ x

2 = 4y

2

. Solving this

last equation with the constraint x

2 + 4y

2 = 1 gives x = ± √

1

2

and y = ±

1

2

√

2

.

Now f

± √

1

2

, ∓

1

2

√

2

= e

1/4 ≈ 1.284 and f

± √

1

2

, ±

1

2

√

2

= e

−1/4 ≈ 0.779.

The former are the maxima on the region and the latter are the minima.

Step-by-step explanation:

2 hours and 40 minutes

Step-by-step explanation:

Let a be Mrs Santos

Let b be Mr. Salonga

Mrs. Santos can cook the menu for a party in 4 hours

a = 4 hours

Mr. Salonga can work twice as fast as she can.

b = 2 ( 4) = 8 hours

The word time formula is

1/a +1 /b = 1/t

Where t is the total time

Substitute the values

1/4 + 1/8 = 1/t

1/4 + 1/8 = 2/8 + 1/8 = 3/8

Therefore

3/8 = 1/t

Doing cross multiplication

3*t = 1 * 8

3t = 8

Dividing both sides by 3

3t/3 = 8/3

t = 8/3 hours

t =2 \frac{2}{3}t=2

3

2

hours or 2 hours and 40 minutes

Answer:

3

Step-by-step explanation:

Because the slope line is ending on 3

Answer:

Speedie ran the race in 0.708(3)% of an hour, the 3 in the parentheses means the 3 repeats forever

Step-by-step explanation:

We have 25.5/3600, and when we convert it to a decimal, we have 0.00708(3), the 3 in the parentheses means the 3 repeats forever. To convert it to percentage, we multiply it by 100, to get 0.708(3). Hope it helps!

Answer:

I dunno what your saying.

Step-by-step explanation:

Please us English

Answer:

116

Step-by-step explanation:

(difference = subtract)

90 - 36 = 54

adding 62 to 54 = 116

answer

62+(90-36)

62+54

116

are you speaking another language

Hope this helps!

Answer:

they are all right next to eachother

Answer:

(-14,0)

Step-by-step explanation:

-94 24

-74 18

-54 12

-34 6

-14 0

Answer:

-14,0

Step-by-step explanation:

khan academy

O valor de x é 45º

Explicação:Confia no pai

Answer:

$15

Step-by-step explanation:

30 - (12+15)

30-27=3

18-3=15

Hope this helps ;)

Answer:

[tex]his \: reasoning \: is \: correct.[/tex]

Step-by-step explanation:

[tex]since \: the \: ratio \: of \: the \: glass \: to \:that \\ \: of \: the \: thermos \: is \: in \: the \: fraction : \\ \frac{2 7 0 mL }{1mL} \: which \: is \:270 mL : 1mL \\ then \: the \: keem \: is \: right.[/tex]

Answer:

5/6

Step-by-step explanation:

8/9=16/18

16/18-1/18=15/18

15/18 divided by 3 is 5/6

Answer:

5/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

1). ∠1 and ∠2 are supplementary.

  m∠1 + m∠2 = 180°

2). ∠1 and ∠2 are complementary angles.

   m∠1 + m∠2 = 90°

3). If ∠1 and ∠2 are vertical angles,

   m∠1 = m∠2 = 64°

4). ∠Q and ∠R are complementary angles.

   m∠Q + m∠R = 90°

   If m∠R = 73°,

   m∠Q + 73° = 90°

   m∠Q = 90° - 73°= 17°

5). m∠AED = 135°

a). Since, ∠AED and ∠AEC are supplementary angles,

   m∠AED + m∠AEC = 180°

   m∠AED = 152°

   152° + m∠AEC = 180°

   m∠AEC = 180° - 152° = 28°

b). m∠CEB + m∠AEC = 180°

    28° + m∠CEB = 180°

    m∠CEB = 180° - 28° = 152°

c). m∠FEC = m∠FEA + m∠AEC

                 = 90° + 28°

                 = 118°          

Answer:

Step-by-step explanation:

A

Answer:

60%

Step-by-step explanation:

all you need to do is multiply this by 100 (move two decimal places to the right).

0.6--> 60

60 percent

Answer: 60%

Explanation: .6 x 100 = 60

Answer:

y = -6x - 7

Step-by-step explanation:

y = mx + b

5 = -6(-2) + b

5 = 12 + b

b = -7

y = -6x - 7

Answer:

28

Step-by-step explanation:

2x +4x +4x-10 -80-10

10x-100=180

10x=180+100

10x=280

10x/10=280/10

x=28

Answer:

1/8

Step-by-step explanation:

Answer:

-|7-2x|+11= -8

x=-6 0r x=13

9-7|-x-3|= -61

x=-13 or x=7

13|-2x+1|-10=159

x=-6 or x=7

Step-by-step explanation:

-|7-2x|+11= -8

-|7-2x|=-8-11

either :

7-2x=-19

-2x=-19-7

x=-26/2

x=13

Or: 7-2x=19

-2x=19-7

-2x=12

x=-12/2

x= - 6

9−7(|−x−3|)=−61

−7(|−x−3|)=−61-9

−7(|−x−3|)=−70

|-x-3|=-70/-7

|-x-3|=10

either :

-x-3=10         or -x-3=-10

-x=13                   -x=-7

x=-13                    x=7

13|-2x+1|=159+10

13|-2x+1|=169

|-2x+1|=169/13

|-2x+1|=13

either                                          or

-2x+1=-13                                     -2x+1=13

-2x=-14                                        -2x=12

x=-14/-2                                        x=12/-2

x=7                                               x=-6

Given parameters;

  Let us solve this problem step by step;

Let us represent Simon's money by S

Kande's money by K

               S > K

 if Simon gives $20, his money will be  S - 20 lesser;

      When Kande receives $20, his money will increase to K + 20

                     S - 20  = K + 20   ------ (i)

          if Kande gave Simon $22, his money will be K - 22

    Simon's money, S + 22;

                  S + 22  = 2(K - 22)    ------ (ii)

Now we have set up two equations, let us solve;

         S - 20  = K + 20  ---- i

         S + 22  = 2(K - 22)  ;       S + 22  = 2K - 44  ---- ii

So,      S - 20  = K + 20

          S + 22  = 2K - 44

subtract both equations;

               -20 - 22  = (k -2k)  + 64

                   -42  = -k + 64

                       k  = 106

Using equation i, let us find S;

            S - 20 = K + 20

             S - 20  = 106 + 20

              S = 106 + 20 + 20  = 146

Therefore, Kande has $106 and Simon has $146

Answer:

This year, the circus had 35,441 guests.

Step-by-step explanation:

You just subtract 8,034 from 43,475.

I really hope this helped you!