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Gala2k [10]
3 years ago
10

Plz, answer the question in the photo.

Mathematics
1 answer:
kotegsom [21]3 years ago
4 0

Answer:

H

Step-by-step explanation:

Step 1 of 2: Subtract, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 1 over 32

1

3

= ( 2 × 3 ) over 3

2 × 3

3

+ 1 over 3

1

3

= ( 6 + 1 ) over 3

6 + 1

3

= 7 over 3

7

3

Step 1 of 2: Subtract, sub-step c: Find common denominator.

Find common denominator

32 over 9

32

9

− 7 over 3

7

3

= ( 32 × 1 ) over ( 9 × 1 )

32 × 1

9 × 1

− ( 7 × 3 ) over ( 3 × 3 )

7 × 3

3 × 3

= 32 over 9

32

9

− 21 over 9

21

9

9 is the least common multiple of denominators 9 and 3. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Subtract, sub-step d: Subtract.

Subtract

32 over 9

32

9

− 21 over 9

21

9

= ( 32 − 21 ) over 9

32 − 21

9

= 11 over 9

11

9

Step 1 of 2: Subtract.

Step 2 of 2: Simplify.

Simplify

11 over 9

11

9

= 1 and 2 over 91

2

9

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Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and t
Lilit [14]

Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x 1.025^n, where

n is the number of years after 1993 and

c is the consumption for that year.

An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

6 0
2 years ago
Amanda is practicing her dives off the diving board. When she dives into the water, the path her body makes and where she resurf
Vilka [71]

Answer:

The number of feet she will travel back is 1 or 7 feet

Step-by-step explanation:

Here, we need to solve the quadratic equation

That will be as follows;

0 = x^2 -8x + 7

x^2-x-7x+ 7 = 0

x(x-1)-7(x-1) = 0

(x-1)(x-7) = 0

x = 1 or 7

The number of feet she will travel before coming back to the surface of the water is 1 or 7 feet

6 0
3 years ago
Jailed has 60 dimes and 60 nickels
Ivenika [448]

Answer:

75 cents

Step-by-step explanation:

60 dimes is 600 cents or $6, 60 nickels is 300 cents or $3. when we add them together we have $9 and we need 9.75 so we need 75 cents more.

5 0
3 years ago
I'm confused I put 13-x and it said incorrect?? HELP!
Andreas93 [3]

Answer:

Maybe -12?

Step-by-step explanation:

Because sometimes variables on their own symbolize 1, so we can subtract 13 from 1 to get -12.

5 0
2 years ago
Read 2 more answers
Mr.Webb wants to give each of his 7 dogs no more than 10 treats. how many treats does he need? (let t= the number of treats)
Lina20 [59]

Answer:

70

Step-by-step explanation:

7x10=70

5 0
3 years ago
Read 2 more answers
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