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andrew-mc [135]
3 years ago
14

14. According to a recent government study, the average 15-year-old male gets 11.4% of his daily caloric intake from sugar drink

s.
If that 15-year-old consumes 2,400 calories each day, how many calories come from sugar drinks?
Mathematics
1 answer:
tatuchka [14]3 years ago
3 0

Answer:

273.6

Step-by-step explanation:

11.4% of his daily calories intake is from sugar drink.

If he consumes 2400 calories each day , the amouth that comes from sugar drink will be 11.4% /100% x 2400

0.114 x 2400

273.6

So 273.6 calories comes from sugar drinks

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What fraction of 7 2/5 is 49 1/3?
Digiron [165]

Answer:

8 1/6 / 1 7/8 = 196/45 = 4 16/45 ≅ 4.3555556

Step-by-step explanation:

Conversion a mixed number 8 1/6

to a improper fraction: 8 1/6 = 8 1/6 = 8 · 6 + 1/6= 48 + 1/6 = 49/6

To find new numerator:

a) Multiply the whole number 8 by the denominator 6. Whole number 8 equally 8 * 6/6 = 48/6

b) Add the answer from previous step 48 to the numerator 1. New numerator is 48 + 1 = 49

c) Write a previous answer (new numerator 49) over the denominator 6.

Eight and one sixth is forty-nine sixths

Conversion a mixed number 1 7/8

to a improper fraction: 1 7/8 = 1 7/8 = 1 · 8 + 7/8 = 8 + 7/8= 15/8

To find new numerator:

a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8/8 = 8/8

b) Add the answer from previous step 8 to the numerator 7. New numerator is 8 + 7 = 15

c) Write a previous answer (new numerator 15) over the denominator 8.

One and seven eighths is fifteen eighths

Divide: 49/6 : 15/8 = 49/6 · 8/15 = 49 · 8/6 · 15 = 392/90 = 2 · 196 /2 · 45 = 196/45

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 15/

8 is 8/15

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 2 gives 196/45

.

In words - forty-nine sixths divided by fifteen eighths = one hundred ninety-six forty-fifths.

8 0
3 years ago
Help me please will give brainliest <br> (has picture)
Anvisha [2.4K]
To add fractions, find the LCD and then combine.

Exact form:

9/2

Decimal form:

4.5

Mixed number form:

4 1/2

So, answer is

4 1/2

Hope this helps!
6 0
3 years ago
Read 2 more answers
More points!! Please solve 22 and 23
nadya68 [22]
For the table, we can count the circles that appear in each step of the fractal. The center is a single circle and is step 0. Step 1 sees 4 circles grow off of that one circle. Step 2 sees 4 circles grow off of each of these circles. Therefore the table should be:

Step 0 : 1 circle
Step 1 : 4 circles
Step 2 : 16 circles
Step 3:  64 circles

Using this table, we can solve the second part. This function is exponential growth and each step is a multiple of 4. Therefore, the function is f(x) = 4^x.
8 0
4 years ago
Pls help answer this
Paladinen [302]

Answer: Third option

Step-by-step explanation:

For this exercise it is important to remember the following:

1. By definition, the Associative property of addition states that it does not matter how you grouped the numbers, you will always obtained the same sum.

2. The rule for the  Associative property of addition is the following (given three numbers "a", "b" and "c"):

a + (b + c) = (a + b) + c

Knowing the information shown before, you can identify in the picture attached that the option that illustrates the Associative property of addition is the third one. This is:

(11+8)+1=11+(8+1)

As you can notice that you will always get the same result:

(19)+1=11+(9)\\\\20=20

8 0
3 years ago
Factor completly x^8- 1/81. please help:)
Leno4ka [110]

Answer:

{x}^{8}  -  \frac{1}{81}  = ( {x}^{4}  +  \frac{1}{9} )(  {x}^{2}  +  \frac{1}{3} )(x +  \frac{1}{ \sqrt{3} } )(x -  \frac{1}{ \sqrt{3} } )

Step-by-step explanation:

see the picture attached for further explanation.

5 0
3 years ago
Read 2 more answers
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