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2 years ago

2. A recipe calls for 2 1/3 cups of flour and 1/8 cup of baking soda "you are

Mathematics

1 answer:

Inga [223]2 years ago

5 0

Answer:18.7 or 56/3 cup of flour

Step-by-step explanation:

The solution is in the attached file

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What is the effect on the graph of the function () =

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3 years ago

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How many cubes with side lengths of 1/4 does it take to fill this prism?

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Answer:

Step-by-step explanation:

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3 years ago

What is the explicit formula for the arithmetic sequence 4/5, 29/30, 17/15, 13/10?

svetoff [14.1K]

Answer:

The answer is D,

a(n) = 4/5 + 1/6(n- 1)

just took the test :)

Step-by-step explanation:

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3 years ago

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In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store.

sergiy2304 [10]

Answer:

a) Which item’s price was reduced by more, and by how many dollars more was it reduced?

The DVD player's price was reduced more by $3.82 than the stereo tuner's price.

b) Round all dollar values to the nearest cent.

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

The DVD player's price was reduced by 382 cents more than the stereo tuner's price

Step-by-step explanation:

Lets day the original price of the DVD player was $100

We are told the price was marked down to 36%

36% of $100 = $36

$100 - $36 = $64

We are told the DVD cost $41.60 after the markdown.

Original cost of DVD =

$41.60/$64 × 100 = $65

Lets the original price of the Stereo player was $100

We are told the price was marked down to 22%

22% of $100 = $22

$100 - $22 = $78

We are told the DVD cost $69.42 after the markdown.

Original cost of Stereo =

$69.42/$78 × 100 = $89

DVD = $65 - $41.60 = $23.40 less

Stereo = $89 - 69.42 = $19.58 less

Difference between the DVD and the Stereo is

$23.40 - $19.58 = $3.82

Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

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3 years ago

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The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp

Oxana [17]

To prove that the diagonals are congruent, you need to formula to compute the distance between two points:

$d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}$

Using that formula, you may prove that $d(C,E) = d(D,F)$ , which means that the two diagonals have the same length.

To prove that they are perpendicular, you need the formula to compute the slope of a segment. The slope, knowing the enpoints, is given by

$m = \cfrac{\Delta y}{\Delta x} = \cfrac{A_y-B_y}{A_x-B_x}$

You can use this formula to prove that

$m_{CE} = -\cfrac{1}{m_{DF}}$

In fact, if one slope is the opposite of the reciprocal of the other, the two segments are perpendicular.

Finally, to prove that they bisect each other, you first need to find the point where they meet. First of all, you need to find the line the segments lie on: the formula is

$y-y_0 = m(x-x_0)$

where $(x_0,y_0)$ is one of the points belonging to the line, and you already know how to find the slope. Then, you find the point of intersection, say A, by solving the system involving the two lines:

$\begin{cases} y= m_{CE}x+q_{CE}\\ y = m_{DF}x+q_{DF} \end{cases}$

And use again the formula for the distance between two points to prove that

$d(A,C) = d(A,D) = d(A,E) = d(A,F)$

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3 years ago