Wyatt uses 3.15 cups of flour in a recipe that makes 9 shortcakes Cora uses 2.4 cups of flour in a recipe that make 8 shortcakes how much more flour per shortcake is needed for Cora’s recipe

Answers

Answer 1

Answer: Wyatt - 3.15/9 = 0.35 cups of flour per shortcake
Cora - 2.4/8 =0.4 cups of flour per shortcake

0.4 - 0.35 = 0.05 cups of flour per shortcake
Cara needs 0.05 more cups of flour per shortcake.

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Celine has a bottle that contains 20% milk and the rest water. The bottle has 1 liter of water. Part a: write an equation using one variable that can be used to find the total number of liters of milk and water in the bottle. Define the variable used in the equation. Hint: 0.2x represents the number of liters of milk in the bottle. (5 points) part b: how many liters of milk are present in the bottle? Show your work. (5 points)

Suppose you invest $580 at 10% compounded continuously , write an exponential function to model the amount in your investment account ?

Answers

Interest=percent times rate(in years) times principal.
Or I=PRT
So you invest $580 so I=$580 Rate would be .10 and time would be 1 for one year. So if you put this into the formula you get
$580=P(.65)(1)
So $580=.65P so $580/.65=P so P is approximately $892.31 per year.

3(q - 7) = 27

Solve for q

Answers

Answer:

3(q-7)=27

3q-21=27

3q=48

q=16

Step-by-step explanation:

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Answer:

q = 16

Step-by-step explanation:

3(q - 7) = 27

3q - 21 = 27 | +21

3q = 48 | :3

q = 16

How do I write -2.5 into a fraction?

Answers

Do u have a 100 dollar calculator if so press math enter enter

Answer:

$-(25)/(10)$

Step-by-step explanation:

Which is bigger, 40% of 180 or ¼ of 320?

Answers

'of' in mathematics means multiplication.

40% of 180 means 40/100 * 180

40/100 * 180
= 0.40 * 180
= 72

1/4 of 320 means 1/4 * 320

1/4 * 320
= 320/4
= 80

40% of 180 is 72
1/4 of 320 is 80

1/4 of 320 is bigger than 40% of 180

You could also say that as:

1/4 of 320 is greater than 40% of 180.

A las 9 de la mañana,la temperatura en Valcorto era de -8 grados . A las 12 horas era dos grados mayor ,a las 15 horas tres grados mas que a las 12 ,y a las 21 horas nueve grados menos que a las 15 ¿que temperatura habia cada hora citada?

Answers

Answer:

$T_(9hr)=-8 C$

$T_(12hr)=-6 C$

$T_(15hr)=-3 C$

$T_(21hr)=-12 C$

Step-by-step explanation:

The initial temperature at 9 am:

$T_(9hr)=-8 C$

At 12 hr is 2 degrees higher:

$T_(12hr)=T_(9hr)+2 C=-6 C$

At 15 hr is 3 degrees higher than 12hr:

$T_(15hr)=T_(12hr)+3 C=-3 C$

Finally, at 21 hr, is 9 degrees lower than 15 hr:

$T_(21hr)=T_(15hr)-9 C=-12 C$

The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?The domain is all real numbers. The range is {y|y < 16}.
The domain is all real numbers. The range is {y|y ≤ 16}.
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.

Answers

First, you can simplify the function finding the perfect square:

$f(x)=-x^2-2x+15=-(x^2+2x)+15=-(x^2+2x+1-1)+15=-((x+1)^2-1)+15=-(x+1)^2+1+15=-(x+1)^2+16.$

This form of function gives you the coordinates of parabola vertex - (-1,16).

From the diagram you can see that all values for x are possible, then the domain is $x\in (-\infty,\infty)$ (all real numbers). Also you can see that values of y decrease from y=16 to $-\infty$ , then the range is $y\in(-\infty,16]$ (or {y|y ≤ 16}).

Answer: correct choice is B.

Since the function is a parabola and there are no discontinuities, the domain is all real numbers. To determine the range, the function has to be transformed into the vertex form.
The vertex form of the function is:
f(x) = -(x+1)2 +16
This means that the graph is facing downwards with the vertex at (-1,16).
So, the range is {y|y ≤ 16}

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