All categories

3 years ago

George has a coin collection. 16% of the coins are quarters from the

Mathematics

1 answer:

IRISSAK [1]3 years ago

7 0

Answer:

200

Step-by-step explanation:

Given that :

16% of coins are quarters from 1990

Number of quarters from 1990 = 32

Since 16% = 32 quarters

The number of the total coins can be obtained thus :

Let the total number of coins = x

16% = 32

100% = x

Cross multiply :

0.16x = 32 * 1

0.16x = 32

x = 32 / 0.16

x = 200

Hence, total number of coins in the collection = 200

You might be interested in

14 stamps increaseded by 125%

Luden [163]

14 increased by 125% is 17.5

5 0

3 years ago

Jane completes several example problems that ask her to the find the opposite of the opposite of a number, and for each example,

creativ13 [48]

Answer:

Jane is not correct.

Step-by-step explanation:

Jane must have complete several examples using positive numbers. That conclusion does not apply for negative numbers.

Let's see an example:

Given the number 5:

its opposite number is: -5
the opposite of this opposite number: is 5

Note that is the same number and it is positive.

However, if we check the same situation with a negative number:

Given the number -3:

its opposite number is: 3
the opposite of this opposite number: is -3

In conclusion, Jane's conclusion is wrong. The opposite of the opposite number is not always a positive number.

8 0

3 years ago

Find the measure of each unknown angle.

tekilochka [14]

Answer:

= 56°

= 34°

Step-by-step explanation:

3x + 5 + 2x = 90°

3x + 2x + 5 = 90°

5x + 5 = 90°

5x = 90 - 5

5x = 85

x = 85/5

x = 17

3x + 5

= 3(17) + 5

= 51 + 5

= 56°

= 2(17)

= 34°

3 0

3 years ago

Instead I’d using the values 1,2,3,4,5,6 on dice, suppose a pair of dice have the following 1,2,2,3,3,4 on one die and 1,3,4,5,6

Oxana [17]

Answer:1/24

Step-by-step explanation:

Since the first die has 4 distinct numbers, and second has 6 distinct numbers, so total number of combinations possible = 4 × 6 = 24

Now, the number of chances where we get the rolling sum as 12 is only one. (

Therefore, the probability of getting sum 12 is 1/24

4 0

3 years ago

Practice simplifying rational expressions with negative exponents.

Gelneren [198K]

Answer:

Part 1:- option first is correct

$-\frac{1}{2}ab^{12}$

Part 1:- option third is correct

$\frac{w^{10}}{3y^{4}}$

Step-by-step explanation:

Given:

The given ration expressions are.

1. $\frac{-2a^{2}b^{4}}{4ab^{-8}}$

2. $\frac{-5w^{4}y^{-2}}{-15w^{-6}y^{2}}$

We need to simplify the given expressions.

Solution:

Part 1:-

Given expression is

$=\frac{-2a^{2}b^{4}}{4ab^{-8}}$

Using law of exponents $\frac{x^{m} }{x^{n} } = x^{(m-n)}$

$=-\frac{a^{2-1}b^{4-(-8)}}{2}$

$=-\frac{a^{1}b^{4+8}}{2}$

$=-\frac{ab^{12}}{2}$

$=-\frac{1}{2}ab^{12}$

Therefore, option first $-\frac{1}{2}ab^{12}$ is correct.

Part 2:-

Given expression is.

$=\frac{-5w^{4}y^{-2}}{-15w^{-6}y^{2}}$

Using law of exponents $\frac{x^{m} }{x^{n} } = x^{(m-n)}$

$=\frac{w^{4-(-6)}y^{-2-2}}{3}$

$=\frac{w^{4+6}y^{-4}}{3}$

$=\frac{w^{10}y^{-4}}{3}$

$=\frac{w^{10}}{3y^{4}}$

Therefore, third option $\frac{w^{10}}{3y^{4}}$ is correct.

4 0

3 years ago