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3 years ago

5000/210= with the remainder as a fraction

Mathematics

2 answers:

Softa [21]3 years ago

6 0

The answer is 23 4/5

miss Akunina [59]3 years ago

5 0

5000/210 results in 23.809523...

This is equivalent to 23 17/21.

Note that 210*23 = 4830, and so the remainder of 5000/210 is 5000-4830, or 170. The remainder, as a fraction, is thus 170/210, or 17/21.

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Round cake has a diameter of 30 cm . Angela places the cake on a circular cake board with a diameter 5 cm longer than that of th

Sav [38]

Answer:

circumference of the cake board = 109.9 cm

Step-by-step explanation:

diameter of cake = 30cm

diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm

radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm

radius of cake board = 17.5 cm

circumference of a circle = 2 × π × r (where π = 3.14)

circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm

Therefore the circumference of the cake board = 109.9 cm

5 0

3 years ago

Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1

Tamiku [17]

Base case: if n = 1, then

1² - 1 = 0

which is even.

Induction hypothesis: assume the statement is true for n = k, namely that k ² - k is even. This means that k ² - k = 2m for some integer m.

Induction step: show that the assumption implies (k + 1)² - (k + 1) is also even. We have

(k + 1)² - (k + 1) = k ² + 2k + 1 - k - 1

… = (k ² - k) + 2k

… = 2m + 2k

… = 2 (m + k)

which is clearly even. QED

8 0

3 years ago

Each week, a cook purchases 12 pounds of butter. During the last year, the cook has paid as little as $23.04 and at much as $29.

Tatiana [17]

Each week, a cook purchased 12 LBS. of Butter:

During the Last year: (12 Months):

Cook Paid:

Little: $23.04

Much: $29.40, For Butter he or she purchased in a week:

Question: is: what is the Difference between, the Greatest price per pound, and the least price per pound of butter the cook paid within the last year?

EQUATION:

Least Paid / 12 =====> 23.04 /12

Most Paid / 12 ======> 29.40 / 12

Divide:

23.04 / 12 = 1.92 / LB

29.40 / 12 = 2.45 / LB

Now Subtract:

2.45 - 1.92

Answer ======> 0.53 is the difference, between the greatest price per round, and least price per round of butter the cook would have paid within the last year.

Hope that helps!!! : )

4 0

3 years ago

What number would you have to add to both sides to complete the square?

aleksandr82 [10.1K]

X^2 + 12x = -6

x^2 + 12 x + 6^2 = -6 + 6^2

(x + 6)^2 = - 6 + 36

(x +6)^2 = 30

In the first step I had to add 6^2 = 36. The answer is option B. 36.

5 0

3 years ago

Read 2 more answers

Antonio uses a calculator to find 38 minus StartFraction 44 minus 16 over 4 EndFraction and gets a result of –10. Which statemen

frozen [14]

Answer:

The second statement is Correct.

Step-by-step explanation:

Consider the provided information.

It is given that Antonio uses a calculator to find $38-\frac{44-16}{4}$ and gets a result of –10.