a pastry recipe calls for 3 cups of flour to make 8 serving .how many cups of flour are needed to make 6 serving

Answers

Answer 1

Answer: If you would like to know how many cups of flour are needed to make 6 servings, you can calculate this using the following steps:

3 cups of flour ... 8 servings
x cups of flour = ? ... 6 servings

3 * 6 = 8 * x
18 = 8 * x /8
x = 18/8
x = 9/4
x = 2 1/4 cups of flour

The correct result would be 2 1/4 cups of flour.

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Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237. a. Write an equation that can be used to find the number of swimming lessons that she paid for.
Evaluate 15÷3·(-2) + |-10|
Given that g(4)=9 and g(-11)=k, find the value of k that would result in a slope of 5 between the two points.
Let f(x)= x^4 + ax^2 +b. The graph of f has a relative minimum at (0,1) and an inflection point when x=1. The values of a and b are...I AM EXTREMELY DESPERATE I NEED THIS ANSWER!!!

Help to answer 2 & 3 Pablo and Jasmine had just started studying systems of linear equations in algebra. They looked at Pedro's drawing and said, "We could write that as a system of equations." Let t be the price of each taco and d be the price of each drink. - Write an equation that represents the cost of Pablo's order. (6T + 2D = 9) - Write an equation that represents the cost of Jasmine's order. (4T + 2D = 7) 2. What operations with the equations from part (1) match your way of using Pedro's sketch to find the prices t and d? 3. Why do the operations make sense?

Answers

Answer:

Step-by-step explanation:

The equation for Pablo's order is given as 6T+2D=9 or 6T+2D-9=0

While the equation for Jasmine's order is given as 4T+2D=7 or 4T+2D-7=0

Subtracting Jasmine's equation from Pablo's

6T+2D-9-(4T+2D-7)=0

This gives us

6T+2D-9-4T-2D+7=0

The reduces to

2T-2=0

Dividing all through by 2 gives

T-1=0

Therefore

T=1

Substituting the value for T into any of the equations of either Pablo and Jasmine

Using Pablo's

6T+2D=9

6(1)+2D=9

2D=9-6

2D=3

There D= 3/2

If f(x) = 3x + 3, g(x) = 3x + 3, and h(x) = x + 3, what is [g o f o h](–5)?A: –30
B: –24
C: –15
D: –6

Answers

Answer:

The correct answer is D. -6

Step-by-step explanation:

f(x) = 3x + 3

g(x) = 3x + 3

h(x) = x + 3

We need to find : [g o f o h](–5)

⇒ [g o f o h](–5)

⇒ [g o f]h(-5)

⇒ [g o f](-5 + 3)

⇒ [g o f](-2)

⇒ [g]f(-2)

⇒ [g](3 × -2 + 3)

⇒ [g](-6 + 3)

⇒ g(-3)

⇒ 3 × -3 + 3

⇒ -9 + 3

⇒ -6

Therefore, The correct answer is D. -6

The answer would be -6.
Start by substituting -5 into the 'h' function.
h(-5) = -5 + 3 = -2
Now substitute this answer into the 'f' function.
f(-2) = 3(-2) + 3 = -3
now substitute this answer into the 'g' function
g(-3) = 3(-3) + 3 = -6
D is your answer

If 48 is added to one-third of a number, the triple of the number is the result. What is the number?

Answers

Until we know what it is, let's call the number ' M ', for 'Mystery number'.

      The number . . . . M
   The triple of the number . . . 3M
   One third of the number . . . . M/3
48 added to one third of the number. . . . M/3 + 48 .

You said that 48 added to one third of the number makes triple the number,
so I can write
    M/3 + 48 = 3M
and the rest is easy.

Multiply each side by 3 : M + 144 = 9M

Subtract M from each side: 144 = 8M

Divide each side by 8 : 18 = M

Check:

   Is M/3 + 48 equal to 3M ?

   (18/3) + 48 ? = ? 3(18)

   6    + 48 ? = ? 54

54 = 54

   yay !

Please answer this question.1m of ribbon costs £3.20. find the cost of 1 and 1/4 m

Answers

$\begin{array}{ccc}1m&-&\£3.20\n\n1(1)/(4)m&-&x\end{array}\n-------------\nmultiply\ on\ the\ cross\n-------------\n1\cdot x=1(1)/(4)\cdot3.20\n\nx=1.25\cdot3.20\n\nx=4\n\nAnswer:\£4.00$

Philip played a board game, and he drew 4 straight cards that read, “Go back 8 spaces.” What is the change in Philip’s position on the game board?

Answers

The change in Philip's position on the game board is 32 spaces backward.

What is the change in Philip’s position on the game board?

Each card says, "Go back 8 spaces," so for each card drawn, Philip moves back 8 spaces on the game board. Since he drew 4 cards, we can calculate the total change in his position as follows:

Change in position = Number of cards drawn * Spaces moved back for each card

Change in position = 4 * 8

Change in position = 32

So, the change in Philip's position on the game board is 32 spaces backward.

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What number solves this propoetion? 2.4/m=3/4.5

Answers

$\frac { 2.4 }{ m } =\frac { 3 }{ 4.5 } \n \n \frac { 4.5 }{ 3 } \cdot m\cdot \frac { 2.4 }{ m } =\frac { 3 }{ 4.5 } \cdot m\cdot \frac { 4.5 }{ 3 } \n \n m=\frac { \left( 4.5 \right) \left( 2.4 \right) }{ 3 } \n \n m=\frac { \left( 4+\frac { 1 }{ 2 } \right) \left( 2+\frac { 2 }{ 5 } \right) }{ 3 }$

$\n \n m=\frac { 8+\frac { 8 }{ 5 } +1+\frac { 2 }{ 10 } }{ 3 } \n \n m=\frac { 9+\frac { 16 }{ 10 } +\frac { 2 }{ 10 } }{ 3 } \n \n m=\frac { \frac { 90 }{ 10 } +\frac { 18 }{ 10 } }{ 3 }$

$\n \n m=\frac { \frac { 108 }{ 10 } }{ 3 } \n \n m=\frac { 108 }{ 10 } \cdot \frac { 1 }{ 3 } \n \n m=\frac { 108 }{ 30 } \n \n m=\frac { 3\cdot 36 }{ 3\cdot 10 } \n \n m=\frac { 36 }{ 10 } \n \n m=3.6$

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