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AURORKA [14]
3 years ago
13

A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/8 cup of brown sugar. (a) How many total cups of ingredien

ts are there? Show your work using a number line. (b) Which of the following mixing bowls can you use to make the recipe: 2-cup, 3-cup, or 4-cup? Justify your answers.
Mathematics
1 answer:
marin [14]3 years ago
5 0
(a) 1 1/2 cups + 3/4 cup + 1/8 cup = 1 4/8 + 6/8 + 1/8 =  2 3/8 cups
(b) 
3-cup mixing bowl because there is a total of 2 3/8 cups, which is greater than 2 but less than 3.
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An airport has two long term parking lots. the cost to park,y, in each lot for x days is shown in the tables
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Answer:

y = 4x + 12 will be the other equation.

Step-by-step explanation:

Data given in the tables show a linear relation (has a common data).

To get the linear relation, we will choose the two points from table (1) .

Let the points are (1, 16) and (2, 20).

Slope of the line 'm' = \frac{\triangle{y}}{\triangle{x}}

m = \frac{20-16}{2-1}

m = \frac{4}{1}

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Equation of the line passing through (1, 16) having slope = 4

y - 16 = 4(x - 1)

y = 4(x - 1) + 16

y = 4x - 4 + 16

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Now we take second set of data,

We choose two points (1, 6) and (2, 12).

Slope 'm' = \frac{\triangle{y}}{\triangle{x}}

m = \frac{12-6}{2-1}

m = 6

Equation of the line passing through (1, 6) having slope = 6

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3 years ago
There is enough fencing to surround the dog's play yard. The yard must have a perimeter of n more than 38 feet. The length of th
Ierofanga [76]

Answer:

Step-by-step explanation:

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    x = length of each of the other two sides

Then, y+2x = 64.  So, y = 64-2x

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The graph of the area function is a parabola opening downward with a highest point and with x-intercepts (0,0) and (32,0).

By the symmetry of the parabola, the x-coordinate of the maximum point lies halfway between the x-intercepts.  

So, the area is maximized when x = 16 ft

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Maximum area = xy = (16)(32) = 512 ft2

To maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.  

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Long N. answered • 10/06/16

TUTOR  4.5 (4)

Years of Tutoring Calculus, Algebra, Statistics, Finance and SAT Prep

SEE TUTORS LIKE THIS

For the fixed given perimeter, the maximum area which can be obtained is a square.

So for 3 sides= 64 feet

one side = 64/3

The maximum area is 64/3*64/3 square feet

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