For their twentieth wedding anniversary, Richard and Sylvia had a party for several of their best friends. Things were going along just fine until one of their friends asked the happy couple who was older! Here's what they had to say. Richard: "I am older than my wife." Sylvia: "I am younger than my husband." That might have been the end of it, but one of the guests knew that at least one member of the couple was lying. Well, who is older, Richard or Sylvia?

Answer:

13.7

Step-by-step explanation:

3x=41

x is around 13.7

Answer:

x = [tex]\frac{41}{3}[/tex]

x ≈ 13.7

Step-by-step explanation:

[tex]3x+15=56\\3x+15-15=56-15\leftarrow \text {Subtraction Property of Equality} \\3x=41\\\\\frac{3x}{3} =\frac{41}{3} \leftarrow \text {Division Property of Equality}\\\\\boxed {x=\frac{41}{3}}[/tex]

41/3 = 13.66666666....

13.666... ≈ 13.7

Answer:

6 plus .1 plus .007

6 times 1 plus 1 times .1 plus 5 times .01

Step-by-step explanation:

Hope this helps

Answer:

x=9

y=5

Step-by-step explanation:

Step-by-step explanation:

6a

Sn = n/2 [2a + (n-1) d]

(2Sn)/ n = 2a + (n - 1) d

2a + (n-1) d = (2Sn)/n

(n-1) d = (2Sn - 2a)/n

[tex]d = \frac{2sn \: - 2a}{(n(n - 1))} [/tex]

[tex]d = \frac{2(sn - a)}{ {n}^{2} - n} [/tex]

6b

[tex]d = \frac{2(56 - 25)}{ {32}^{2} - 32} [/tex]

d = ¹/16

7a.

E = (mv²)/2 + mgh

E = m( v²/2 + gh)

E/m = v²/2 + gh

E/m - gh = v²/2

2(E/m - gh) = v²

so

[tex]v = \sqrt{2( \frac{e}{m} - gh)}[/tex]

7b.

[tex]v = \sqrt{2( \frac{4900}{20} - 9.8 \times 15)}[/tex]

v = 14 m/s

Answer:

Edge = 2.5

Step-by-step explanation:

Answer: 10.99 + 1.25x

Step-by-step explanation:

The cost of a large pizza is $10.99 and each additional topping costs $1.25. The expression that can be used to calculate the cost of a pizza when x toppings are added will be:

Cost of pizza + (number of additional toppings × 1.25)

Since x toppings are included, this will be:

= 10.99 + (1.25 × x)

= 10.99 + 1.25x

Answer:

The solution of the given two simultaneous equation

A( 3 ,6)  and  [tex]B(\frac{1}{2} ,\frac{17}{2} )[/tex]

The intersecting points of given two simultaneous equations are

A( 3 ,6)  and  [tex]B(\frac{1}{2} ,\frac{17}{2} )[/tex]

Step-by-step explanation:

Explanation:-

Step(i):-

Given  simultaneous equation

        y  =  9-x    ...(i)

      y   = 2 x² +4 x+6 ..(ii)

Equating (i) and (ii) equations , we get

      9 -x =  2 x² +4 x+6

 ⇒    2 x² +4 x + 6- 9 +x =0

 ⇒  2 x² + 5 x - 3 =0

  ⇒ 2 x² +6 x -x -3 =0

⇒   2 x ( x +3) -1 ( x+3) =0

⇒    (2 x -1 ) ( x+3) =0

⇒    (2 x -1 ) = 0   and   ( x +3 ) =0

    [tex]2 x =1[/tex]    and   x = -3

      x = 1/2 and x =3

Step(ii):-

  x = 3  ⇒ y = 9 - 3 =6

   A( 3 ,6)

 [tex]x = \frac{1}{2} , y = 9 - \frac{1}{2} = \frac{17}{2}[/tex]

[tex]B(\frac{1}{2} ,\frac{17}{2} )[/tex]

Final answer:-

The intersecting points of two simultaneous equations are

A( 3 ,6)  and  [tex]B(\frac{1}{2} ,\frac{17}{2} )[/tex]

The solution of the given two simultaneous equation

A( 3 ,6)  and  [tex]B(\frac{1}{2} ,\frac{17}{2} )[/tex]

The solution to the given simultaneous equation is (1/2, 8 1/2) and (-3, 12)

From the question,

We are to solve the given simultaneous equations

The given equations are

y = 9-x                ---------- (1)

y = 2x²+4x+6    ---------- (2)

Substitute equation (1) into equation (2)

y = 2x²+4x+6

That is

9-x = 2x²+4x+6

Simplifying, we get

0 = 2x² +4x +x +6 -9

0 = 2x² +5x -3

∴ 2x² +5x -3 = 0

Now, solving the quadratic equation

2x²+6x -x -3 = 0

Factorizing

2x(x+3) -1(x+3) = 0

Then, we get

(2x -1)(x+3) = 0

∴ 2x - 1 = 0 OR x + 3 = 0

2x = 1 OR x = -3

∴ x = 1/2 OR x = -3

Now, substitute the values of x into equation (1) to determine the values of y

y = 9-x

When x = 1/2

y = 9 - 1/2

y = 8 1/2

and when x = -3

y = 9 --3

y = 9+3

y = 12

Hence, the solution to the given simultaneous equation is (1/2, 8 1/2) and (-3, 12)

Learn more here: https://brainly.com/question/24448700

Answer: 400 units

Step-by-step explanation:

Volume=1/3a^2h

=1/3(10)^2(12)

=400

The correct answer is 400. I had the same question on a test I took not to long ago.

Answer:

4/5

Step-by-step explanation:

y = mx + b

4/5 = m = slope

Answer:

The slope is 4/5.

Step-by-step explanation:

It's a linear equation. Which means that you can graph a "line" out of it.

The format is y=mx+b

mx=slope

b= y-intercept.

The slope is 4/5.

Answer:

x=6

Step-by-step explanation:

11, 3, x, x+2, 5, 10

in ascending order the data points:

Step-by-step explanation:

4 + (27 - 12 * 2) / 2

4 + (27 - 24) / 2

4 + 3/2

5 1/2

Answer:

5 1/2

Step-by-step explanation:

4 + (27 - 12 ∙ 2) ÷ 2=

4 + (27 - 24) ÷ 2=

4 + 3/2= 5 1/2

Answer: 30% or 3/10.

Step-by-step explanation: To find the probablilty of getting a white shirt, we first have to find the total number of shirts: 3 white + 2 blue + 5 red = 10 total. Out of the ten total, there are 3 white shirts. The probability of getting a white shirt is 3/10, because out of the 10 total shirts, 3 shirts are white.

Answer:

Step-by-step explanation:

[tex]Probability = \frac{Events}{Possible- outcomes} \\Total -no -of -shirts=3+2+5=10\\Event = 3 \\Probability = \frac{3}{10}[/tex]

I hope i am correct

Answer:

<1 = 48

Step-by-step explanation:

<1 + <2 + <3 = 180 since they form a line

<1 + 90+ 42 =180

Combine like terms

<1 + 132 =180

Subtract 132 from each side

<1 +132-132 =180-132

<1 = 48

Answer:

48 is the answer

Step-by-step explanation:

Answer: a=-2, b=7/2

Step-by-step explanation:

To solve for a and b, we can use the elimination method for these system of equations.

3a+2b=1

a+2b=5

Since there is a 2b in both equations, we can subtrac the 2 equations.

2a=-4

a=-2

Now that we have found a, we can plug it into ay of the equations to find b.

-2+2b=5

2b=7

b=7/2

Step-by-step explanation:

do you mean --8 plus 31

Answer:

Janice converted a mixed number to the wrong improper fraction.

Step-by-step explanation:

1 batch of stew uses 1 and 2/3 lb meat

Total amount of meat used - 10 and 5/6 lb

x = number of stew batches made

To get number of batches made, divide total meat used by the amount of meat each batch requires:

x = 10 5/6 ÷ 1 2/3

convert mixed fractions to improper fractions:

x = (10x6+5)/6 ÷ (1x3+2)/3

x = 65/6 ÷ 5/3

The fraction in bold numbers is where Janice got it wrong. She changed 1 2/3 to 5/2. (From the question: 10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds = StartFraction 65 over 6 EndFraction divided by five halves). 1 2/3 converted to an improper fraction is 5/3. From this point going forward, the calculations are wrong.

Answer:

A

Step-by-step explanation:

Answer:

OG, OC, TG, TC, VG, VC

Step-by-step explanation:

Soups: O, T, V

Salads: G, C

For each soup, he can choose 2 salads.

OG, OC, TG, TC, VG, VC

The sample space represents all the possible ways to choose one soup and one salad is {OG, OC, TG, TC, VG, VC}.

Sample space is the set of all the possible values or the outcomes of a event.

Let suppose the coin are tossed two times. Then the set of possible outcome or sample space of it can be given as,

[tex]S=\{HH,HT,TH,TT\}[/tex]

Here, H denotes the head and T denotes the tail part of the coin.

A customer at a restaurant can choose a soup and a salad from the menu choices shown.

For this menu the customer choose one onion as soup and one garden as salad which can be represented as (OG). Similarly, the sample space of his choice can be,

[tex]\{OG, OC, TG, TC, VG, VC\}[/tex]

Thus, the sample space represents all the possible ways to choose one soup and one salad is {OG, OC, TG, TC, VG, VC}.

Learn more about the sample space here;

https://brainly.com/question/9222927

#SPJ2

Answer:

x=62.

Step-by-step explanation:

2x +4=128

2x=128-4

2x=124

x= 62

Answer:

135°

Step-by-step explanation:

You want QRT. So if you look at it you have a straight line, which equals 180°. you already have an angle at 45° so all you do is 180-45 and that equals 135°

Answer:

44/51

Step-by-step explanation:

1 5/6 ÷ 2 1/8

Change to improper fractions

1 5/6 = (6*1+5)/6 = 11/6

2 1/8 = (8*2 +1) /8 = 17/8

11/6 ÷17/8

Copy dot flip

11/6 * 8/17

11/17 * 8/6

11/17 *4/3

44/51

Answer:

x=4

Step-by-step explanation:

1. x =5

2. x = 7

3. p = 12

4. m=2

5. z = 10

Answer:

Below in bold.

Step-by-step explanation:

1) 4x - 7 = 13

4x = 20

x = 20/4

x = 5.

2)  3x + 4 = 25

3x = 21

x = 7.

3) p/3 + 5 = 9

p/3 = 9 -5 = 4

Multiply both sides by 3:

p =  3*4

p = 12.

4)   m/5 + 2 = 12/5

Multiply through by 5:

m + 10 = 12

m = 12 -10

m = 2.

5) 4z/5 - 2 = 6

4z/5 = 8

Cross multiply:

4z = 5*8

4z = 40

z = 10.

Answer:

In this problem, we have three vertices, namely:

A(-2,2) , B(-2,4) , C(0,0)

Our transformation rule is (x+3,y-2) and this rule forms the image A'B'C'. So:

Step-by-step explanation:

A'=(-2+3,2-2)=(1,0)

B'=(-2+3,4-2)=(1,2)

C'=(0+3,0-2)=(3,-2)

Taking a look in the First Figure, we can see the two triangles. The red one is the triangle ABC and the blue one is A'B'C'. In the Second Figure, the corresponding vertices have been connected with line segments, as indicated the green lines. The characteristics of those three lines are two, namely:

They are parallel.

They have the same length.

Answer:

12

Step-by-step explanation:

n*30=360

n=360/30

n=12

Answer:

3

Step-by-step explanation:

1/4 +11/4

(1+11)/4

12/4

3

Answer:

=3

Step-by-step explanation:

The correct answer to this question is =3. I added the steps down below. I also added a attachment that refer to a number line for this question.

1: =1/4+11/4

2: =1+11/4

3: 12/4

4: =3

Answer: =3

Number line attached.

Hope this helps.

Answer:

Y=1/2x-3

Step-by-step explanation:

Down 3 at the y-axis and up 1 right 2.

Answer:

You divide the perimeter by the width to get the length

Step-by-step explanation:

I'm guessing the second derivative is for y with respect to x, i.e.

[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}[/tex]

Compute the first derivative. By the chain rule,

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}[/tex]

We have

[tex]y=b\sin\theta\implies\dfrac{\mathrm dy}{\mathrm d\theta}=b\cos\theta[/tex]

[tex]x=a\cos\theta\implies\dfrac{\mathrm dx}{\mathrm d\theta}=-a\sin\theta[/tex]

and so

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{b\cos\theta}{-a\sin\theta}=-\dfrac ba\cot\theta[/tex]

Now compute the second derivative. Notice that [tex]\frac{\mathrm dy}{\mathrm dx}[/tex] is a function of [tex]\theta[/tex]; so denote it by [tex]f(\theta)[/tex]. Then

[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm dx}[/tex]

By the chain rule,

[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm df}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}[/tex]

We have

[tex]f=-\dfrac ba\cot\theta\implies\dfrac{\mathrm df}{\mathrm d\theta}=\dfrac ba\csc^2\theta[/tex]

and so the second derivative is

[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\frac ba\csc^2\theta}{-a\sin\theta}=-\dfrac b{a^2}\csc^3\theta[/tex]

Answer:

126

Step-by-step explanation:

The probability is 90/500 = 18%

So, from 700 customers,

700 * 18%  = 700 * 18/100 = 126

Therefore, 126 customers will be selected on saturday.