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3 years ago

Wats the correct answer here

Mathematics

2 answers:

marta [7]3 years ago

8 0

It is 10 hours and 20 minutes because if you round 7:50 to 8:00 and count from 8:00 to 5:20 you have 10 hours and 20 minutes.

nevsk [136]3 years ago

4 0

Well I think it's 10 hours and 20 minutes you just have to count the hours but subtract one hour because of lunch then add the remaining minutes.

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The sum of two consecutive natural numbers is 525.<br> Find the numbers.

Luda [366]

Answer:

262 and 263 are consecutive natural numbers whose sum is 525.

Step-by-step explanation:

Natural number are a subset of real numbers consisting in positive integers (i.e. 1, 2, 3, 525) and two natural numbers are consecutive when distance between each other is equal to 1. ( $|x-y| = 1$ , $\forall\,x,y \in \mathbb{N}$ ) We can interpret the statement mathematically by means of the following expression:

$x + y = 525$

$x = n$

$y = n+1$

Where $x$ , $y$ , $n$ $\in \mathbb{N}$ .

This system is reduced to a single equation and solved afterwards:

$n +(n+1) = 525$

$2\cdot n + 1 = 525$

$2\cdot n = 524$

$n = 262$

Now we evaluate $x$ and $y$ to obtain the natural numbers:

$x = 262$

$y = 263$

262 and 263 are consecutive natural numbers whose sum is 525.

3 0

3 years ago

67.1 is 55% of what number

Ganezh [65]

36.91 is the answer 67.1x.55

3 0

3 years ago

Read 2 more answers

(cotx+cscx)/(sinx+tanx)

Butoxors [25]

Answer: $\bold{\dfrac{cot(x)}{sin(x)}}$

<u>Step-by-step explanation:</u>

Convert everything to "sin" and "cos" and then cancel out the common factors.

$\dfrac{cot(x)+csc(x)}{sin(x)+tan(x)}\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)}{1}+\dfrac{sin(x)}{cos(x)}\bigg)\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg[\dfrac{sin(x)}{1}\bigg(\dfrac{cos(x)}{cos(x)}\bigg)+\dfrac{sin(x)}{cos(x)}\bigg]\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)}{cos(x)}+\dfrac{sin(x)}{cos(x)}\bigg)$

$\text{Simplify:}\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)+sin(x)}{cos(x)}\bigg)\\\\\\\text{Multiply by the reciprocal (fraction rules)}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)cos(x)+sin(x)}\bigg)\\\\\\\text{Factor out the common term on the right side denominator}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)(cos(x)+1)}\bigg)$

$\text{Cross out the common factor of (cos(x) + 1) from the top and bottom}:\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)}\bigg)\\\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times cot(x)}\qquad \rightarrow \qquad \dfrac{cot(x)}{sin(x)}$

6 0

3 years ago

Janine is saving money to buy a car. She has a total of $1400 left to save, and she plans to save a certain percentage of $1400

shusha [124]

Answer:

August=$350

September=$560

October=$210

November= $280

Step-by-step explanation:

Total amount left to save $1400.

We calculate the amount save each mount since we are already given the percentages.

For the month of August she saves 25% of $1400, we convert the percentage to equivalent cash

$\frac{25}{100}*1400\\=350$

for the month of August, she saved $350,

Next For the month of September she saves 40% of $1400, we convert the percentage to equivalent cash

$\frac{40}{100}*1400\\=560$

for the month of September, she saved $560,

Next For the month of October she saves 15% of $1400, we convert the percentage to equivalent cash

$\frac{15}{100}*1400\\=210$

for the month of October, she saved $210,

total amount saved by October = $350+$560+$210=$1120

Amount saved by November=1400-1120=$280

5 0

2 years ago

Please answer in a step by step explanation

Aneli [31]

An open circle means any number except the one in the circle. Here the number in the circle is 3. The arrows go to both sides. This means every number except 3. The answer is c. Which states that every number is included except 3. Basically meaning x is never equal to 3.

7 0

3 years ago