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Firlakuza [10]
3 years ago
14

a recipe for ginger cookie uses 4 cups of flour and 2 cups of sugar write a ratio to show the relationship of flour to sugar

Mathematics
1 answer:
yanalaym [24]3 years ago
3 0

For every ginger cookie:

                                                      4:2

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Name the property of multiplication illustrated<br><br> 112 X 1 = 112
Nat2105 [25]

Answer:

Identity property

Step-by-step explanation: because the product of any number and one is that number

4 0
2 years ago
What is the solution of the system?
spin [16.1K]
The Answer is b: x = 18, y = -20

Proof:

Solve the following system:
{4 x + 3 y = 12 | (equation 1)
{7 x + 5 y = 26 | (equation 2)

Swap equation 1 with equation 2:
{7 x + 5 y = 26 | (equation 1)
{4 x + 3 y = 12 | (equation 2)

Subtract 4/7 × (equation 1) from equation 2:
{7 x + 5 y = 26 | (equation 1)
{0 x+y/7 = (-20)/7 | (equation 2)

Multiply equation 2 by 7:
{7 x + 5 y = 26 | (equation 1)
{0 x+y = -20 | (equation 2)

Subtract 5 × (equation 2) from equation 1:
{7 x+0 y = 126 | (equation 1)
{0 x+y = -20 | (equation 2)

Divide equation 1 by 7:
{x+0 y = 18 | (equation 1)
{0 x+y = -20 | (equation 2)

Collect results:

Answer: {x = 18, y = -20
6 0
3 years ago
Use the graph of the function f(x) - (x + 1)2 + 2. Identify the vertex and<br> the axis of symmetry.
sweet-ann [11.9K]

Answer:

Step-by-step explanation:Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:

(

1

,

−

2

)

Focus:

(

1

,

−

7

4

)

Axis of Symmetry:

x

=

1

Directrix:

y

=

−

9

4

x

y

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1

2

0

−

1

1

−

2

2

−

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image of graph

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()

7 0
2 years ago
Read 2 more answers
How do I find b and c?
Alja [10]

Answer:

b = 25.03,

c = 32.67   to the nearest hundredth.

Step-by-step explanation:

To find b and c you can use the trigonometry of a right angled triangle.

tan 50 = b / 21

b = 21 tan 50

b =  25.03

cos 50 = 21 / c

c = 21 / cos 50

= 32.67

6 0
3 years ago
A luxury hotel group purchases a deserted island 3. 5 miles offshore and due south of an endangered bird nesting beach. The near
Serga [27]

Answer:

T.C ( 1.1007 ) = T.C_min = $2252  

Step-by-step explanation:

Given:

- Cost of electricity construction over water C_w = $250 / mile

- Cost of electricity construction over ground C_w = $150 / mile

- The distance from hotel island = 3.5 miles

- The distance from beach to power source = 10 miles

Find:

Find the least expensive price for which you can bill the job

Solution:

- This problem requires cost optimization. So we need to develop a cost function as follows

Total Cost = C_w*(distance from island to x) + C_g*( distance from x to power)

- Now calculate the relevant distances using Pythagoras theorem:

              Distance from island to x = sqrt ( x^2 + 3.5^2 )

              Distance from x to power station = 10 - x

- Input the distances in the cost function:

              T.C ( x ) = C_w*sqrt ( x^2 + 3.5^2 ) + C_g*(10 - x )

- Input the relevant rates:

              T.C ( x ) = 250*sqrt ( x^2 + 3.5^2 ) + 150*(10 - x )  

- Simplify:

              T.C ( x ) = 250*sqrt ( x^2 + 12.25 ) + 1500 - 150x

- Next, we will optimize the cost to minimum. We need the distance x that would give us the minimum cost. To minimize the function, set its derivative with respect to x equals to zero.

                T.C' ( x ) = 500*x*( x^2 + 12.25 )^( -0.5 ) - 150

- Set the derivative to zero and solve for x:

                            sqrt ( x^2 + 12.25 ) = 10x/3

Squaring both sides:

                           9*x^2 + 110.25 = 100*x^2

Simplify and solve:

                      x = sqrt (110.25 / 91) = 1.1007 miles

- The cost function is minimized at x = 1.1007 miles. We will input this back into our function and evaluate the minimum cost as follows:

                 T.C ( 1.1007 ) = 250*sqrt ( 1.1007^2 + 12.25 ) + 1500 - 150*1.1007

                 T.C ( 1.1007 ) = T.C_min = $2252  

                                 

- So the minimum cost associated with this plan is $2252.

6 0
3 years ago
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