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Leviafan [203]
3 years ago
6

The caloric density of foods is a useful tool when comparing calorie counts. The table shows typical serving sizes for several f

oods and the number of calories per serving. Complete the fourth column. Then use the final column to number the foods from the lowest caloric density to the highest. Round to the nearest calorie per 100 grams.

Mathematics
1 answer:
mezya [45]3 years ago
6 0

Answer:

Medium apple < Large hard boiled egg < raisins < cheddar cheese

Step-by-step explanation:

1. Cubic inch cheddar cheese ;

Cal per 100g = cal(c) / grams(g)

Cal per 100g = 69 / 17 = 4.0588cal/g

approximately 4.1cal/g

2. Large hard boiled egg;

Cal per 100g = cal(c) / grams(g)

Cal per 100g = 78 / 50 = 1.56cal/g, approximately 1.6cal/g.

3. Medium apple;

Cal per 100g = cal(c) / grams(g)

Cal per 100g = 72 / 138 = 0.52cal/g

4. Raisins;

Cal per 100g = cal(c) / grams(g)

Cal per 100g = 129 / 43 = 3cal/g

The foods with the lowest density to the highest is,

Medium apple < Large hard boiled egg < raisins < cheddar cheese

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20 square root of 270 /4 square root of 3
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Answer:

<u>The most simplified form is 15√10</u>

Step-by-step explanation:

1. Let's simplify the expression:

20√270 ÷ 4√3

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3 years ago
6. 4x + 2y = 16<br> | 5x - 2y = 38
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Answer:

1. Slope = -4.000/2.000 = -2.000

 x-intercept = 8/2 = 4

 y-intercept = 8/1 = 8.00000

2.  Slope = 5.000/2.000 = 2.500

 x-intercept = 38/5 = 7.60000

 y-intercept = 38/-2 = 19/-1 = -19.00000

Step-by-step explanation:

1.

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  4x + 2y - 16  =   2 • (2x + y - 8)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2     Solve   2x+y-8  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x+y-8  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 8/1 so this line "cuts" the y axis at y= 8.00000

 y-intercept = 8/1  =  8.00000

Calculate the X-Intercept :

When y = 0 the value of x is 4/1 Our line therefore "cuts" the x axis at x= 4.00000

 x-intercept = 8/2  =  4

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 8.000 and for x=2.000, the value of y is 4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.000 - 8.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -4.000/2.000 = -2.000

Geometric figure: Straight Line

 Slope = -4.000/2.000 = -2.000

 x-intercept = 8/2 = 4

 y-intercept = 8/1 = 8.00000

Processing ends successfully

2.

Step  1  :

Equation of a Straight Line

1.1     Solve   5x-2y-38  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x-2y-38  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 19/-1 so this line "cuts" the y axis at y=-19.00000

 y-intercept = 38/-2 = 19/-1  = -19.00000

Calculate the X-Intercept :

When y = 0 the value of x is 38/5 Our line therefore "cuts" the x axis at x= 7.60000

 x-intercept = 38/5  =  7.60000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -19.000 and for x=2.000, the value of y is -14.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -14.000 - (-19.000) = 5.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  5.000/2.000 =  2.500

Geometric figure: Straight Line

 Slope = 5.000/2.000 = 2.500

 x-intercept = 38/5 = 7.60000

 y-intercept = 38/-2 = 19/-1 = -19.00000

Processing ends successfully

plz mark me as brainliest :)

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