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1 year ago

Q: The ratio of the numbers of Nick's marbles to Michael's is 3:5. Nick has 36 marbles. If Nick receives

Mathematics

1 answer:

Nataly [62]1 year ago

7 0

Answer:

$\frac{3}{4}$

Step-by-step explanation:

$\frac{3}{5} = \frac{36}{x}$

3x = 36 x 5

3x = 180

x = 60

Michael has 60 marbles.

Nick recieves 9 more marbles so he has 36 + 9 = 45 marbles

The new ratio will be:

$\frac{45}{60}$ = $\frac{3}{4}$

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Simply<br> tan 45°. sin 30° - cot 45°/sec 60°

dusya [7]

If we want to write the given four numbers in another form, we can write it like this;

$tan45=sin45/cos45=1$

$sin30=sin(\frac{\pi }{2}-60 )=cos60=\frac{1}{2}$

$cot45=cos45/sin45=1$

$sec60=1/cos60=\frac{1}{1/2} =2$

Now let's rewrite the given expression and get the result.

$(tan45.sin30)-(cot45/sec60)=(1.\frac{1}{2})-(\frac{1}{2} )=0$

5 0

1 year ago

Read 2 more answers

Which of the following consists of equivalent fractions

NeTakaya

The first one is the only one that shows equivalent fractions

If correct brainliest please

Thank you and Your welcome

:)

3 0

3 years ago

Read 2 more answers

Plz answer both questions 15 points

anyanavicka [17]

Answer:

If the signs of rational numbers are same, then the answer is positive.

If the signs of rational numbers are different, then the answer is negative.

Step-by-step explanation:

Consider the provided information.

A: When multiplying or dividing rational numbers, when will the answer be positive?

If we are multiplying or dividing rational numbers the answer will be positive if and only if both the rational numbers have same sign.

For example: Multiply 2 and 4.

2×4=8 (same sign)

Multiply -2 and -4.

-2×-4=8 (same sign)

8 is a positive rational number.

Now divided 2 and 4.

$\frac{2}{4} =\frac{1}{2}$

Divided -2 and -4.

$\frac{-2}{-4} =\frac{1}{2}$

1/2 is a positive rational number.

Hence, If the signs of rational numbers are same, then the answer is positive.

B: When multiplying or dividing rational numbers, when will the answer be negative?

If we are multiplying or dividing rational numbers the answer will be negative if and only if both the rational numbers have different sign.

For example: Multiply 2 and -4.

2×-4=-8 (different sign)

Multiply -2 and 4.

-2×4=-8 (different sign)

-8 is a negative rational number.

Now divided 2 and -4.

$\frac{2}{-4} =-\frac{1}{2}$

Divided -2 and 4.

$\frac{-2}{4} =-\frac{1}{2}$

-1/2 is a negative rational number

Hence, If the signs of rational numbers are different, then the answer is negative.

3 0

3 years ago

A woman spent two thirds of her money she lost two thirds the remainder and then had $4 left how much money did she start with

Lisa [10]

Answer

Find out how much money did she start with.

To proof

let us assume that the money she had be x.

As given

woman spent two thirds of her money

$Money\ spent = \frac{2x}{3}$

Money she had after spent two thirds of her money = Total money - money spent

$= x - \frac{2x}{3}$

$= \frac{1x}{3}$

As given she lost two thirds the remainder

$=\frac{2}{3}\times ( money\ she\ had\ after\ spending\ two\ thirds\ of\ her\ money)$

$= \frac{2}{3} \times\frac{1x}{3}$

we get

$=\frac{2x}{9}$

Money she had after lost two thirds the remainder = Money she had after spent two thirds of her money - she lost two thirds the remainder

$= \frac{1x}{3} - \frac{2x}{9}$

$= \frac{1x}{9}$

As given

she had $4 left

thus

$\frac{1x}{9} = 4$

x = $36

she start with $36.

Hence proved

3 0

3 years ago

Read 2 more answers

If it took Carlos 30 minutes to cycle from his house to the library yesterday, was the distance that he cycled greater than 6 mi

Ivanshal [37]

Answer:

1) No

2) Yes

Step-by-step explanation:

Given : If it took Carlos 30 minutes to cycle from his house to the library yesterday.

To find : Was the distance that he cycled greater than 6 miles?

Solution :

The relation between speed , distance and time is

$\text{Distance}=\text{Speed}\times \text{Time}$

1) The average speed at which Carlos cycled from his house to the library yesterday was greater than 16 feet per second.

Speed = 16 feet per second

Converting into miles, $s=\frac{16}{5280}$

Time = 30 minute

Converting into seconds, $t=30\times 60$

The distance he covered is

$\text{Distance}=\frac{16}{5280}\times30\times 60$

$\text{Distance}=5.45\text{ miles}$

No, the distance that he cycled is not greater than 6 miles.

2) The average speed at which Carlos cycled from his house to the library yesterday was less than 18 feet per second.

Speed = 18 feet per second

Converting into miles, $s=\frac{18}{5280}$

Time = 30 minute

Converting into seconds, $t=30\times 60$

The distance he covered is

$\text{Distance}=\frac{18}{5280}\times30\times 60$

$\text{Distance}=6.13\text{ miles}$

Yes, the distance that he cycled is greater than 6 miles.

6 0

3 years ago