Finding area of composite figure

Answer: To model the problem with a division equation, we can write 46 ÷ 7 = x, where x represents the number of swimmers that each lane will have.

To solve the equation using repeated subtraction, we can subtract 7 from 46 several times until we reach a number that is less than 7. The number of times we subtract 7 will give us the number of swimmers each lane will have. Here's one way to do it:

46 - 7 = 39

39 - 7 = 32

32 - 7 = 25

25 - 7 = 18

18 - 7 = 11

11 - 7 = 4

As you can see, we are able to subtract 7 from 46 a total of 6 times before we get a number less than 7. This means that each lane will have 6 swimmers, and the remaining 4 swimmers will practice diving. So each lane will have 6 swimmers.

So the equation 46 ÷ 7 = 6, and also by repeated subtraction method it shows the same result of 6 swimmers each lane.

Step-by-step explanation:

Answer:

6chapters per hour

Step-by-step explanation:

Take 48 chapters divided by the no hrs which are 8

Answer:

The answer is "0.00088"

Step-by-step explanation:

Many ways of selecting r articles of n,[tex]\to ^nC_r = \frac{n!}{(r! \times (n-r)!)}[/tex]

P(wins the player) = [tex]\frac{1}{\text{Any combinations of possible numbers}}[/tex]

[tex]= \frac{1}{^{20} C_3}\\\\[/tex]

[tex]= \frac{1}{\frac{20!}{(3!\times 17!)}}\\\\= \frac{1}{1140}\\\\= 0.00088[/tex]

25 kilograms of fertilizer would be needed to fertilize the lawn.

In essence, percentages are fractions with 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage.

given, A certain type of fertilizer contains 8 percent of nitrogen. If 2 kilograms of nitrogen are needed to fertilize a lawn.

Since fertilizer contain 8% nitrogen in it

thus for 80 grams of nitrogen = 1 kg of fertilizer

for 1 gram of nitrogen = 1/80 kg fertilizer

for 2000 gram of nitrogen = (1/80)* 2000 kg fertilizer

for 2 kilograms of nitrogen = 25 kg fertilizer

therefore, To fertilize the yard, 25 kg of fertilizer would be required.

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Answer:

A.  5/13

Step-by-step explanation:

Cos is the adjacent side/hypotenuse

Cos C = 10/26 = 5/13

Answer:

  3x -y = 2

Step-by-step explanation:

You want a standard form equation for the line through the points (0, -2) and (2, 4).

The slope of the line is the "rise" divided by the "run". The given point on the right is 3 grid squares above the one on the left. It is one grid square to the right. So, the slope is ...

  m = (squares above)/(squares to the right) = 3/1 = 3

If we consider the actual x- and y-values represented by these grid squares, then the slope is ...

  m = (4 -(-2))/(2 -0) = 6/2 = 3

The point (0, -2) tells you the y-intercept is -2. That is where the line crosses the y-axis.

With this information, we can write the slope-intercept form equation for the line:

  y = mx +b . . . . . . . line with slope m and y-intercept b

  y = 3x -2 . . . . . . . . line with slope 3 and y-intercept -2

The standard form of an equation for a line is ...

  ax +by = c

where a, b, c are generally mutually-prime integers with a ≥ 0. If a=0, then b > 0.

We can rearrange the slope-intercept equation to put it into this form.

  y = 3x -2

  3x -y -2 = 0 . . . . . subtract y

  3x -y = 2 . . . . . . . add 2. This is the standard-form equation of the line.

Answer:

14

Step-by-step explanation:

so first our equation is: -4a+2b so a is -2 right? okay so your going to do

-4 x -2 which you get 8 (minus times minus is postive). and now for 2b: 2x3 is 6 so 6+8 is 14

Answer:

Step-by-step explanation:

y= 265

The rate of change of the equation is 25.

The rate at which one quantity changes in relation to another quantity is known as the rate of change function. Simply put, the rate of change is calculated by dividing the amount of change in one item by the corresponding amount of change in another.

Given that the linear equation is y = 25x + 115. The rate of change of the equation is represented by the slope or gradient of the equation of the line.

Here in the equation y = 25x + 115 the rate of change is 25. Which is equivalent to the slope of the line.

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Answer:

(C) 369 cm

Step-by-step explanation:

because i got it right :D

Step-by-step explanation:

Why can't I plus x² to each side of the inequality x²+4x > -x² ?

(Note: one adds things; one does not plus them.)

You can easily add x² to both sides here:

(x² + 4x) + x² > (-x²) + x², or

2x² + 4x > 0, or

x² + 2x > 0, or

x(x + 2) > 0.

For this to be true, x > 0 and x+2 > 0; or else x < 0 and x+2 < 0.

Case 1: x > 0 and x+2 > 0.

Rewrite this as x > 0 and x > -2.

This is true for all x > 0.

Case 2: x < 0 and x+2 < 0.

Rewrite this as x < 0 and x < -2.

This is true for all x < -2.

The solution set for the inequality, in interval notation, is then (-∞,-2) ∪ (0,∞).

done its a good question btw ....

Answer:

the correct answer is option C

Answer:

Hello There!!

Step-by-step explanation:

The answer is c. 12+h as sum means adding 12 and then with h.

hope this helps,have a great day!!

~Pinky~

On solving the provided question, we cans ay that - here in triangles, triangle ABC is congruent to triangle A`B`C`

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

Here,

two triangles are there

triangle ABC and triangle A`B`C`

AB =A`B`

BC = B`C`

AC =A`C`

So, by sss property

both are congruent

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The common denominator of the given expression is 5y+6.

Division is the process of splitting a number or an amount into equal parts.

here, we have,

Given expression,

(y+(y-3)/3)/(5/9+2/3y)

We have to find the common denominator.

On solving the numerator and denominator of the  given expression,

=3y(4y-3)/5y+6

Hence the common denominator of the above expression is given by 5y+6

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Answer:

350,000.00

Step-by-step explanation:

420,000.00 - 20% = 350,000.00
Increase percentage: 70,000.00

Answer:

Step-by-step explanation:

Total Females = 3 + 4 + 6 + 3  = 16

Number of female seniors = 3

P ( Female | senior )

number of female seniors / total female  = [tex]\frac{3}{16}[/tex]

In percent,

[tex]\frac{3}{16}[/tex] · 100 = 0.1875 · 100 = 18.75%

18.75% rounded to nearest whole percent is 19%

The required probability is 3/4= 75%, the probability the student is a senior given that it's female.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

here, we have,

We have to compute the probability,

P(Female |Junior) because we have to find the probability of the female student and the given condition is that the student is junior.

Determine the total number of juniors. Juniors=2+6=8

Since the number of females who are junior is 6, determine the required probability.

P(Female|Junior)=6/8=3/4

Therefore, the required probability is 3/4 = 75%

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The solution is:

the first graph is positive correlation

The second is No correlation

The third is positive correlation

The fourth is negative correlation.

Here, we have,

each correlation would mean:

A positive correlation : As one variable increases, so does the other

In other words, the line would be going 'up'

A negative correlation : As one variable increases, the other decreases

In other words, the line would be going 'down'

No correlation : there is no connection between the two

In a visual way, you won't be able to see a 'line'.

so, from the given graph we get,

Therefore, the first graph is positive correlation

The second is No correlation

The third is positive correlation

The fourth is negative correlation.

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Answer:

5,024 ft³

Step-by-step explanation:

I took the k12 quiz

Answer:

71.43%

Step-by-step explanation:

100/7 = 14.29

14.29 times 5 = 71.428 rounded to 71.43

The value of c obtained from the linear inequality (3/5)·c + 7 ≤ 2/5 is the option;

c ≤ -11

An inequality is a (non equal) comparison between two expressions that have different values.

The specified inequality can be expressed as follows;

[tex]\dfrac{3}{5} \times c + 7 \leq \dfrac{2}{5}[/tex]

Simplifying the above inequality by subtracting  7 from both sides, we get;

[tex]\dfrac{3}{5} \times c + 7 - 7 \leq \dfrac{2}{5} - 7[/tex]

Evaluating and simplifying the right hand side into a fraction, we get;

[tex]\dfrac{3}{5} \times c + 0 \leq \dfrac{2}{5} - 7 = \dfrac{2 - 35}{5} = \dfrac{-33}{5}[/tex]

[tex]\dfrac{3}{5} \times c \leq \dfrac{-33}{5}[/tex]

Multiplying both sides by 5, we get;

[tex]5\times \dfrac{3}{5} \times c \leq 5 \times \dfrac{-33}{5}[/tex]

[tex]\dfrac{5}{5} = 1[/tex], therefore;

3·c ≤ -33

Dividing both sides of the above inequality by 3, we get;

3·c ÷ 3 ≤ -33 ÷ 3

c ≤ -11

The correct option is; c ≤ -11

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Explanation:

I'm assuming your teacher meant to say "same number or letter" instead of "same number of letter" at the very end of the problem.

The best case scenario is that the person selecting the cards is very lucky to select say a king of hearts and king of clubs. This shows that 2 cards is the lowest amount of cards to select here.

----------

Of course, such a scenario is not that likely. That person is likely to get some other card compared to the 1st selection.

Let's assume the person selecting the cards has the worst luck possible. This means they select each card 1,2,3,...,10,J,Q,K exactly once in any order. If this happens, then the person does not have any pairs just yet. The person has selected 13 cards so far with this worst case scenario.

The 14th card is guaranteed to pair up with some other card previously chosen. There simply aren't any other options left once you've exhausted all possibilities. See the pigeonhole principle for more information.

So this is why you would need to select 14 cards to guarantee having at least two pair up together (i.e. you would have 2 or more pairs).

1 day = 1 hour

1 year = 365 days

365 x 1 = 365

= 365 hours

Answer:

if one day equals one hour then a year is equal to 365 hours

Barrett saves by joining the art museum instead of science museum is $2.50 plus $1.25 per month.

Saving money is one of the essential aspects of building wealth and having a secure financial future. Saving money gives you a way out of the uncertainties of life and provides you with an opportunity to enjoy a quality life.Savings represents an individual's unspent earnings. It is the amount that remains after meeting the household expenses.

Member benefits are the perks, services, and access that members receive as part of their membership. In other words they are what members get in exchange for joining the organization and if applicable, paying member dues.

Now we have

Fee charged by science museum= $10.75

Fee charged by art  museum         =$8.25

Now by subtracting he saves       =$2.50

Again

he saves =amount charged by science - amount charged by arts

              = $3.50 -$2.25

              = $1.25

In the results he saves $2.50 +$1.25 per month.

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Answer:

#3

What was the area left unpainted?

Option D

#4

How big is Ben's share?

Option A

#5

The area of a circular pool whose radius is 2 m:

Option A

Answer:

D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation: