10
Bridget was thinking of a number. Bridget adds 8 to it, then doubles it and gets an answer of 21.9. What was the original number?

9514 1404 393

Answer:

  $1.87 per guest for quantity used

  $1.91 per guest for whole bottles used

  $3.06 per guest for whole cases used

Step-by-step explanation:

The cost of the beverage is ...

  ($189.43/case)(1 case/(12 bottles))(1 bottle/(750 mL)) = $0.02104777.../mL

Each guest consumes 6 cocktails of 0.5 floz each, so ...

  (6 drinks/gues)(0.5 floz/drink)(29.5735295625 mL/floz) ≈ 88.7205 mL/guest

Then the cost per guest is ...

  ($0.02104777.../mL)(88.7205 mL/guest) ≈ $1.86737/guest

The cost per guest for the amount used is about $1.87.

__

The total amount of drink used for all guests is ...

  124(88.7205 mL/guest) ≈ 11,001.4 mL

At 750 mL per bottle, this is ...

  (11,001.4 mL)/(750 mL/bottle) ≈ 14.7 bottles

If you're constrained to pay for 15 bottles, then the cost per guest is ...

  $189.43(15/12)/124 = $1.91 per guest

__

At 12 bottles per case, this is ...

  (14.7 bottles)/(12 bottles/case) ≈ 1.2 cases

If you're constrained to pay for 2 cases, then the cost per guest is ...

  $189.43(2)/124 = $3.06 per guest

Answer:

2) 98/15 meters

21/5 + 7/3 = 63/15 + 35/15 = 98/15

3) 7/12 of the loaf

1/3 + 1/4 = 4/12 + 3/12 = 7/12

4) 19/8 inches

9/8 + 5/4 = 9/8 + 10/8 = 19/8

5) 73/6 cups

29/3 + 5/2 = 58/6 + 15/6 = 73/6

Let me know if this helps!

Answer: No

Step-by-step explanation:

you just gotta keep trying and ill help u

1. 6/7

2. 3/5 is already in its simplest form

3. 5 2/9

Answer:

it's just asking if the expressions ( whatever those are) are equal to 2^6 (64) or 4^4 (256). I hoped this helped

Answer:

3x7

Step-by-step explanation:

7 + 7 + 7 is 3 x 7 because 7x3=21 and 7+7+7=21

9514 1404 393

Answer:

  B.  6

Step-by-step explanation:

The longest chord of a circle is the diameter, twice the length of the radius.

  2(3 cm) = 6 cm

Answer:

B. 6

Step-by-step explanation:

A chord of a circle is a line segment where both endpoints land on the circumfrence of the circle. The longest chord would be at the diameter, which is 2r (2 x 3).

Hope this helps :)

Answer:

26 bc it is equall

Step-by-step explanation:

Answer:

1  cup

Step-by-step explanation:

You divide 36 by 2 to see how many cookies can be made with 1 cup which is 18 so in this question its 1

Answer:

Step-by-step explanation:

[tex]Slope= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-7-[-4]}{-11-[-2]}\\\\=\frac{-7+4}{-11+2}\\\\=\frac{-3}{-9}\\\\=\frac{1}{3}[/tex]

Answer:

a-2 / a - 1

Step-by-step explanation:

Answer: 2 1/2y

Step-by-step explanation:

This is correct because y is not a number it is a variable. This is y get it. That this is correct. Hope this helps ;)

a) The slope of the new road is given by m = -4

b) The equation of line is y = -4x + 32

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as P ( 4 , 7 )

Let the second point be represented as Q ( 2 , 15 )

Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 15 - 7 ) / ( 2 - 4 )

Slope m = 8 / -2

Slope m = -4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 4 = ( -4 ) ( x - 7 )

On simplifying the equation , we get

y - 4 = -4x + 28

Adding 4 on both sides of the equation , we get

y = -4x + 32

Hence , the equation of line is y = -4x + 32

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Answer:

Step-by-step explanation:

The middle three expressions are equivalent.

Answer:

The above answer is correct

hope it is helpful to you

Answer:

Both are right

Step-by-step explanation:

As maya say 4 hundreds in 5,467

this is right because the place value of 4 in 5467 is 4 hundreds = 400.

but Jenny says 54 hundreds in 5,467

this also correct because number 5467 in word is five thousand four hundred and sixty seven

54 hundreds = 54 × 100 = 5400

as here place value of 5 is 5000 and place value of 4 is 400

so, Addition of both gives = 5000 + 400 = 5400

If we divide 5400 by 100, we would have 54

It shows that there are 54 hundreds

so, Both are right

Answer:

Step-by-step explanation:

b

Compute the first few derivatives to reveal a pattern:

f(x) = x sin(x)

f '(x) = x cos(x) + sin(x)

f ''(x) = (-x sin(x) + cos(x)) + cos(x) = -x sin(x) + 2 cos(x)

f '''(x) = (-x cos(x) - sin(x)) - 2 sin(x) = -x cos(x) - 3 sin(x)

f ''''(x) = (x sin(x) - cos(x)) - 3 cos(x)) = x sin(x) - 4 cos(x)

f ⁽⁵⁾(x) = (x cos(x) + sin(x)) + 4 sin(x) = x cos(x) + 5 sin(x)

f ⁽⁶⁾(x) = (-x sin(x) + cos(x)) + 5 cos(x) = -x sin(x) + 6 cos(x)

f ⁽⁷⁾(x) = (-x cos(x) - sin(x)) - 6 sin(x) = -x cos(x) - 7 sin(x)

f ⁽⁸⁾(x) = (x sin(x) - cos(x)) - 7 cos(x) = x sin(x) - 8 cos(x)

and so on.

The pattern should be clear: for some integer k,

• if n = 4k, then f ⁽ⁿ ⁾(x) = x sin(x) - n cos(x)

• if n = 4k + 1, then f ⁽ⁿ ⁾(x) = x cos(x) + n sin(x)

• if n = 4k + 2, then f ⁽ⁿ ⁾(x) = -x sin(x) + n cos(x)

• if n = 4k + 3, then f ⁽ⁿ ⁾(x) = -x cos(x) - n cos(x)

80 is a multiple of 4, so the 80th derivative falls in the first category. Then

f ⁽⁸⁰⁾(x) = x sin(x) - 80 cos(x)

Answer:

43 square cm

Step-by-step explanation:

8 x 6 - (2 x 5 / 2)

8 x 6 - 5 =

48 - 5 =

43 cm square

Hope that helps!

Answer:

43

Step-by-step explanation:

first rectangle is 6*8=48 and small triangle is (8-3) * (6-4)/2=5*2/2=5*1=5

so 48-5=43

Answer:

True

Step-by-step explanation:

Answer:

The unknown is 44

Step-by-step explanation:

We need to solve for x in the proportion given by :

11 / 1 = x / 4

multiply both sides by 4 to isolate x

11 * 4 / 1 = x

x = 44

Answer:

1.5 hours  

Step-by-step explanation:

Answer:

1.5 hours

Step-by-step explanation:

15 men can dig a trench 90 feet deep in 3 hours. So, first, we have to divide 90 by 3 to find the depth that 15 men can dig in 1 hour.

90/3 = 30

Next, we need to divide 30 by 15 to find how deep 1 man can dig in 1 hour.

30/15=2.

Now, since there are 16 men in this second project, we need to multiply 16 by 2 to find how much 16 men can dig in 1 hour.

16x2 = 32.

Finally, we have to add 16 to get 48.

Since we added the depth for 1 hour plus the depth for half an hour to get the total depth, we can say that 16 men can dig 48m in 1.5 hours.

Answer:

>

Step-by-step explanation:

Answer:

5.31 > 5.13

Step-by-step explanation:

5.31 is greater than 5.13 as it is farther than 5.13 on the number line.

Answer:

[tex]15 = - 5x + 10 \\ - 5x = 15 - 10 \\ - 5x = 5 \\ x = \frac{ 5}{ - 5} \\ x = - 1 \\ thank \: you[/tex]

Answer:

6

Step-by-step explanation:

8-2 =6 therefore x is 6 if you want to do it a more complicated way be my guest

Answer: It is one-half the area of a rectangle with sides 2 units × 3 units.

It is twice the area of a square of side length 3 units.

It is one-half the area of a square of side length 3 units.

Step-by-step explanation:

Answer:

It is one-half the area of a rectangle with sides 2 units × 3 units.

Step-by-step explanation:

because the base of the triangle is connected in the "quadrilateral way" the base is one-half the rectangle and the units are 2x3 so therefore that answer is the correct one.

Answer:

wrong

Step-by-step explanation:

go to my crib and eat his pickles