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2 years ago

6

Liz wants to make several batches of biscuits. She has 27 tablespoons of yeast left in the jar and each batch of biscuits takes

3 1/4 tablespoons. At most how many batches of biscuits can Liz make with the yeast she has? Help

1 answer:

asambeis [7]2 years ago

8 0

Answer:

8

Step-by-step explanation:

27 divided by 3 1/4 =

27 divided by 13/4=

27 times 4/13 = 108/13 = 8.307

At most she can make 8 taches.

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Brass is made from a mixture of copper and other elements. a mixture that is 80% copper is combined with a mixture that is 60% c

algol [13]

The equation that can be used to find x, the amount of the 60% mixture used to create the 65% mixture is:

0.60*x + 0.80*(100 - x) = 0.65*(100).

<h3>Which equation we should use?</h3>

First, let's define two variables:

x = pounds of the 60% copper brass.
y = pounds of the 80% copper brass.

We know that we want to make 100 lb of 65% copper brass, then we must have that:

x + y = 100

And the percentage of copper before and after mixing must be the same, so we can write:

0.60*x + 0.80*y = 0.65*(x + y).

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Then we have a system of equations:

x + y = 100

0.60*x + 0.80*y = 0.65*(x + y).

To get a single equation, we can isolate the variable "y" on the first equation:

y = 100 - x

Now we replace that in the other equation:

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This is what we wanted to get, an equation that can be used to find x, the amount of the 60% mixture used to create the 65% mixture.

If you want to learn more about systems of equations:

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2 years ago

Please help with the questions in the image

iren2701 [21]

Step-by-step explanation:

This seems to be calculus 1.

<u>Question a</u>

We have $-2x^3 + 5x^2 + 9$

m = slope = derivative

Find the derivative / slope of $-2x^3 + 5x^2 + 9$

We do this by differentiating the polynomials. There are a few methods to do this but I am going to use the power rule, which we multiply the constant by the exponent on the variable and subtract one from the exponent.

$\frac{d}{dx}(-2x^3 + 5x^2 + 9)$

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<em>Now that we have this information, we can answer question b</em>

<u>Question b</u>

<u>The tangent line for Point (1, 12)</u>

First find the slope by using our derivative.

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$m = -6(1)^2 + 10(1)$

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Now that we have our slope, use point slope form to find our tangent line

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Now graph the lines, which I have done and you can see by viewing the image I have attached.

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