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satela [25.4K]
3 years ago
7

Todd’s diet allows him 80 grams of fat per day. He had 56% of his fat grams at breakfast and lunch. How many grams of fat can he

have at dinner assuming that’s the last meal he will eat that day
Mathematics
1 answer:
never [62]3 years ago
8 0

Answer:

35.2 grams

Step-by-step explanation:

Since 100% is considered anything's total, so consuming 56% means he has remaining:

100% - 56% = 44%

So, 44% of his fat per day can be consumed at night.

We need to figure out what is 44% of 80? First, 44% in decimal is:

44/100 = 0.44

Now we multiply this by 80 to get:

0.44 * 80 = 35.2 grams

He can have 35.2 grams of fat at dinner

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Which of the following is a solution to the inequality below? 12 - x/11 > 8
n200080 [17]

Answer:

12 - x/11 > 8

12 -8 - x/11 > 8 -8

4 -x/11 > 0

4 -x/11  + x/11> 0 + x/11

4 > x/11

44 > x

x is less than 44

Step-by-step explanation:

7 0
2 years ago
Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equati
amid [387]
In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form
f(x) = a(x - x_1)(x-x_2)(x-x_3)

As we know zeros are that point where we will get value of function equal to zero. So it is basically in form (x_n , 0)

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say x_1 = 2 , x_2 = 3 , x_3 = 5

So required equation is
f(x) = a (x-2)(x-3)(x-5)
              = a[(x^2 - 2x - 3x + 6)(x-5)]
              = a[(x^2 - 5x+6)(x-5)]
              = a(x^3 - 5x^2 + 6x- 5x^2 + 25x - 30)
              = a(x^3 - 10x^2+31x-30)
Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5
-5= a (0-0+0 - 30)
-5 = -30a
a =  \frac{-5}{-30} =  \frac{1}{6}
So required equation of cubic polynomial is
f(x) =  \frac{1}{6}(x^3 -10x^2+31x-30)

For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
So y - intercept is -5.
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3 years ago
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A store pays $399 for a waterheater. The store marks up the price by 42% . What is the amount of the mark-up?
Lelu [443]

Answer:

Step-by-step explanation:

399*42%= 167.58 the mark up amount

399+167.50=566.50 total

3 0
2 years ago
Find the missing angle
labwork [276]

Answer:

x=21

Step-by-step explanation:

69+90= 159

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The following graphs have a scale assigned to them: The area of each grid
dezoksy [38]

The graphs that are density curves for a continuous random variable are: Graph A, C, D and E.

<h3>How to determine the density curves?</h3>

In Geometry, the area of the density curves for a continuous random variable must always be equal to one (1). Thus, we would test this rule in each of the curves:

Area A = (1 × 5 + 1 × 3 + 1 × 2) × 0.1

Area A = 10 × 0.1

Area A = 1 sq. units (True).

For curve B, we have:

Area B = (3 × 3) × 0.1

Area B = 9 × 0.1

Area B = 0.9 sq. units (False).

For curve C, we have:

Area C = (3 × 4 - 2 × 1) × 0.1

Area C = 10 × 0.1

Area C = 1 sq. units (False).

For curve D, we have:

Area D = (1 × 4 + 1 × 3 + 1 × 2 + 1 × 1) × 0.1

Area D = 10 × 0.1

Area D = 1 sq. units (True).

For curve E, we have:

Area E = (1/2 × 4 × 5) × 0.1

Area E = 10 × 0.1

Area E = 1 sq. units (True).

Read more on density curves here: brainly.com/question/26559908

#SPJ1

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2 years ago
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