Sofia was following a recipe to cook for her friends. She only used ⅔ of the chicken in the recipe because it was a small gathering. If she ended up using 2.5 pounds of chicken, how many pounds of chicken are called for in the actual recipe?
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Answer:

13 hours

Step-by-step explanation:

148.5/18=8.25

107.25/8.25=13

Answer:

Part A

D

Part B

76

Step-by-step explanation:

I don't know how to explain it

Answer:

b

Step-by-step explanation:

Answer:

Jose stretched the taffy the farthest and Maria stretched it the least

Step-by-step explanation:

Distance stretched by George = 3 feet

Distance stretched by Jose is [tex]1\dfrac{1}{3}[/tex] times as much as George so

[tex]3\times 1\dfrac{1}{3}=3\times\dfrac{4}{3}=4\ \text{feet}[/tex]

Distance stretched by Jose is [tex]4\ \text{feet}[/tex]

Maria streched the taffy [tex]\dfrac{2}{3}[/tex] times as George

[tex]3\times \dfrac{2}{3}=2\ \text{feet}[/tex]

Maria stretched the taffy by [tex]2\ \text{feet}[/tex]

Sally stretched it [tex]\dfrac{6}{6}[/tex] so [tex]1\ \text{feet}[/tex]

So, Jose stretched the taffy the farthest and Maria stretched it the least.

Answer:

$27

Step-by-step explanation:

0.50 * 60 = 30

60 + 30 = 90

0.30 * 90 = 27

9514 1404 393

Answer:

Step-by-step explanation:

Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.

The next term is 15.

_____

The sequence of triangular numbers is given by the explicit formula ...

   an = n(n+1)/2

__

Finding the Formula

The sequence of first differences is ...

  3 -1 = 2

  6 -3 = 3

  10 -6 = 4

And the sequence of second differences is ...

  3 -2 = 1

  4 -3 = 1

These are constant, indicating the sequence is described by a polynomial function of 2nd degree.

There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.

n = 1

  a1 = 1 = a(1)^2 +b(1) + c

n = 2

  a2 = 3 = a(2)^2 + b(2) +c

n = 3

  a3 = 6 = a(3)^2 +b(3) +c

To solve, we can subtract each equation from the next:

  a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)

  2 = 3a +b

and

  a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)

  3 = 5a +b

Now we can subtract the first of these equation from the second:

  (3) -(2) = a(5 -3) +b(1 -1)   ⇒   1 = 2a   ⇒   a = 1/2

Then ...

  2 = 3(1/2) +b

  1/2 = b

  1 = a + b + c   ⇒   1 = 1/2 + 1/2 + c   ⇒   c = 0

So, the quadratic function describing the sequence of triangular numbers is ...

  an = (1/2)(n^2 +n)

  an = n(n+1)/2

Answer:

The answer is 90 degrees.

Step-by-step explanation:

If you want an explination, I'm more than happy to explain.

Answer:x=90

Step-by-step explanation:

90

Answer:

30°

Step-by-step explanation:

It tells us that MFE is equal to (x + 6)° so we need to find x

The angle accross from MFE is RFT. These angles are congruent, because they are a vertical pair. So RFT is also equal to (x + 6)°

The angle RFT and PFR combined form a right angle. This means that RFT + PFR = 90°.

They told us that PFR = (3x - 4)°

so that means that (x + 6) + (3x - 4) = 90°

Knowing that we can just solve the equation by combining like terms

4x + 2 = 90

      Subtract two from both sides

4x = 88

       And then divide by 4

x = 22

Now we can plug in 22 in the original equation to find MFE

22 + 6 = 30

so MFE = 30°

Answer:

The answer is 5f + 6g +12

Step-by-step explanation:

Answer:

5f + 6g +12

Step-by-step explanation:

Simplify the expression.

Step-by-step explanation:

The initial level is 30.

let the upward travel be +X and downward travel be -Y.

so the expression for her current level be ,

30+X-Y = 30+6-14= 22.

22 is her current level.

Answer:

x^2 + 3x

Step-by-step explanation:

just add like terms so 3x^2 - 2x^2 = x^2 and 11x - 8x = 3x

Answer:

(-3, 4)

It doesn't show any coordinates so I assume that the origin is where the x and y axes intercept

Answer:

C. $126

Step-by-step explanation:

Let us say x is the amount of money Sky makes for babysitting 7 hours.

[tex]\frac{72}{4} =\frac{x}{7}[/tex]

[tex]\frac{72}{4} = 18[/tex]

[tex]18=\frac{x}{7}[/tex]

x=$126

one piece is 2m

one is 8m

Answer:

1 and 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option 1

Option 2

Option 3

Option 4

Answer:

73.67

Step-by-step explanation:

Answer:

1.)   ((a+1)^3)+(x^3)  = a^3 + 3a^2 + 3a + x^3 + 1

2.)  ((y-2)^3)-27  =   (y^2-y + 7) x ( y - 5 )

3.)   ((a-b)^3)+b^3  = a (a^2 - 3ab + 3b^2 )

4.)   (8x^3)+((x-y)^3)  =  9x^3 -3x^2 y + 3xy^2 - y^3

5.)   (27a^3)-((a-b)^3) = 26a^3 + 3a^2 b - 3ab^2 + b^3

5) factor = (a+b)(a+b)^ 2    if a is squared and if b is cubed and moved over to = 0 then we can find (a+b)(a+b)^2 but in all cases of quadratics you can set (x -1 ) = 1 and (x-1 ) = 1  so they are always positive. Which is the same if they start of negative.

For question 5 we have a factor solved (a+b)(a+b)^ 2

Which means the same as this expansion

(

Answer:

27

Step-by-step explanation:

You can easily find it by counting how much line are between point and and point B

there are 27 lines (including the line on point B)

Answer:

C

Step-by-step explanation:

Volume of a cylinder is πr²h

V = π * 5² * 8

V = π * 25 * 8

V = π * 200

V = 200π

Answer:

equation: 55 + (2x + 3) + 90 = 180

55 + 2x + 3 + 90 = 180

2x + 148 = 180

2x = 32

x = 16

Answer:

55 + 50 + 2x+3 + 2x+8 = 180

x = 16

Step-by-step explanation:

55 + 50 + 2x+3 + 2x+8 = 180

113 + 4x = 180

4x = 64

x = 16

Answer:

a.

capacity of car = 14 gallons

consumption of fuel in one day = 0.6 gallons

consumption of fuel in 14 days = 14 x 0.6 = 8.4 gallons

fuel remaining in car = 14 - 8.4 = 5.6 gallons

so they can drive the car without warning.

b.

consumption of fuel in one day = 0.6 gallons

consumption of fuel in 25 days = 25 x 0.6 = 15 gallons

fuel remaining in car = 14 - 15 = -1 gallons

so they can't drive the car without warning.

c.

the expression 14 - 0.6t represents remaining fuel in the vehicle, where t represents number of days.

d.

14 - 0.6t = 1.5

or - 0.6t = 1.5 - 14 = - 12.5

or t = -12.5 / - 0.6

or t = 20.8333 days

so he can drive 20 days without warning.                                                                                         E.

14 - 0.6t < 1.5

or t < 20.8333

here t represents number of days car can drive without warning light.

Step-by-step explanation:

The inequality is  

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

14 gallons-1.5 gallons=12.5 gallons  

we know that

If the remaining fuel is greater than  1.5 gallons Diego's father can drive the car without the warning light coming on  

so

Let

x ----> the number of days

 ----> inequality that represent the situation

Solve for x

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

Answer:

2. 8x

3. (12/2)*(10/2)

Step-by-step explanation:

Answer:

See this attachment...