what is the quotient of 35.86 divided by 2.123

Step-by-step explanation:

I solved it in my notebook

To seat all 58 children in the hall for the concert, 10 rows are needed.

1. Determine the number of children per row: Since there are 6 seats in a row, each row can accommodate 6 children.

2. Divide the total number of children by the number of children per row: Divide 58 (the total number of children) by 6 (the number of children per row).

  58 ÷ 6 = 9 with a remainder of 4

  This means that 9 full rows can be formed, and there will be 4 children left after the last full row.

3. Check if there are any remaining children: Since there are 4 children remaining, they cannot form a complete row by themselves.

4. Calculate the number of rows needed: Add 1 to the number of full rows to account for the remaining children.

  9 full rows + 1 row for the remaining children = 10 rows in total.

Therefore, to seat all 58 children in the hall for the concert, 10 rows are needed.

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The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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Step-by-step explanation:

z+w= 1+3i-3-4i = -2-i

w+z=-3-4i+1+3i = -2-i

So, z+w = w+z

So, complex number addition is commutative

If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.

We are aware that the addition's commutative property states that altering the addends' order will not affect the sum.

Here z = 1 + 3i and w = -3 - 4i.

Now, z + w = 1 + 3i - 3 - 4i = 1 - 3 + 3i - 4i = - 2 - i

and w + z = - 3 - 4i + 1 + 3i = - 3 + 1 - 4i + 3i = - 2 - i

i.e. z + w = w + z

Clearly, the addition obeys the commutative property.

Therefore we can conclude that If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.

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Answer: 19.28 Meters

Step-by-step explanation:

We will find our units of conversion for this problem.

100 centimeters is equal to 10 meters.

So, we will divide 1,928 by 100 and we will see what we get.

1,928 ÷ 100 = 19.28

Our answer to the question is 19.28!

Carry on Learning!

Answer:

3/4

Step-by-step explanation:

Ok, so I see that the x-intercept is (4,0), while the y-intercept is(-3,0)

Slope is rise/run

Between these two points, the line rose 3 and horizontally went 4 units to the right. Therefore, the slope is 3/4.

Feel free to tell me if I did anything wrong! :)

Also, if you're still confused, I could explain it another way.

After the shutdown, the hospital will maintain 126 acute hospital beds available for usage.

Hospitals are classified as general, specialist, or government facilities by the source of their funding. In a medical center, nursing education and patient care are both integrated. A care facility which is smaller than a hospital is called a clinic.

If 28% of the hospital's acute card beds are going to ever be closed, that leaves 100% - 28% = 72% of such beds available for utilization.

72% of 175 beds = 0.72 x 175 = 126 beds

As a result, following the shutdown, the hospital will still have 126 basic card beds available for usage.

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Answer:

x = 25°

y = 55°

Step-by-step explanation:

   In Parallelogram, opposite angles are equal.

   3x - 15 = 60

Add 15 to both sides,

           3x = 60 + 15

            3x = 75

Divide both sides by 3,

             x = 75÷3

              \(\sf \boxed{x = 25^\circ}\)

AB // CD and BD is transversal, So, alternate interior angles are equal.

        y = 55°

Answer:

25/144

Step-by-step explanation:

5^2/12^2 Area

25/144

Answer:

Belinda threw the ball 2.31 meters farther than Lorraine.

Step-by-step explanation:

To find how many meters farther Belinda threw the ball, we subtract Belinda's distance from Lorraine's distance.

We have that:

Lorraine threw a football 9.89 meters.

Belinda threw the football 12.20 meters.

12.20 - 9.89 = 2.31

Belinda threw the ball 2.31 meters farther than Lorraine.

Best explanation is from option B :This equation is true because both sides of the equation are equal to 10.4.

Define equation ?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

What are an expression and sentence in mathematics?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions. The other number is x, and a number is 6 greater than half of it. As a mathematical expression, this proposition is denoted by the expression x/2 + 6.

By solving both equation :

The left side of the equation is

22.4 - 2 x 6 = 10.4.

The right side of the equation is

24 ÷ 6 + (12 – 5.6)

= 4 + 6.4 = 10.4.

This calculation says that equation is true and both sides are equal.

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answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

The expanded form of (16x-8) is 16x - 8.

Step-by-step explanation:

In mathematics, the expanded form of a mathematical expression is a way of writing out the terms of the expression using their full definitions.

For example, the expression (16x - 8) can be written in expanded form as 16x - 8. This is because the expression consists of two terms: 16x and -8. The term 16x represents the product of 16 and x, while the term -8 represents the negative of 8.

In general, the expanded form of a mathematical expression is obtained by writing out each term in the expression using its full definition, rather than using abbreviations or symbols. This can be helpful for understanding the structure of an expression and how it is derived.

Answer:

product A

75%

67%

Product B

Step-by-step explanation:

I just found the percentage by dividing the amount of people who found relief into the whole

Hopes this helps please mark brainliest

Answer:

- 8

Step-by-step explanation:

Step 1:

12x ÷ 4y         Equation

Step 2:

12 ( - 8 ) ÷ 4 ( 3 )     Input x and y

Step 3:

- 96 ÷ 12      Multiply

Answer:

- 8      Divide

Hope This Helps :)

The number of cartons of face masks and hand - sanitizers that Mod World bought were 19 cartons of cloth face masks and 5 cartons of hand sanitizer from Maleri Designs.

Let's assume that Mod World purchased x cartons of cloth face masks and y cartons of hand sanitizer.

The simultaneous equations would be :

x + y = 24

10x + 4y = 210

Using substitution we get the value of x to be:

x = 24 - y

When put in the second equation this is:

10x + 4y = 210

10(24 - y) + 4y = 210

240 - 10y + 4y = 210

-6 y = -30

y = 5

x would then be:

x + y = 24

x + 5 = 24

x = 19

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The required trail is 5  1 / 4. Option A is correct.

Given that,
The table shows the total distance of four trails. You want to complete a trail in 1 1/2 hours with an absolute deviation of at most 15 minutes. You hike at a rate of 3 miles per hour.

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
The absolute deviation is 15 minutes = 1 / 4 hour
Interval of time with this deviation =  1 1 / 2 ± 1 / 4 hour
here for  +
time = 1 + 1 / 2 + 1 / 4
time = 1 3 /4
for  -
time = 1 1/2 - 1/4
time= 1 1 / 4

Now, there is variations of time,
So, the required possible trail could correspond to the time i.e.
Time = 1 3 / 4

Distance = rate  * time
               = 1 3 / 4  * 3
               = 5 1 / 4

Thus, the required trail is 5  1 / 4. Option A is correct.

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Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:

Between 20 and 30 bags.

A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.

In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:

Number of bags = Number of treats / Treats per bag.

The values of these parameters are given as follows:

Hence the numeric value of the expression is:

Number of bags = 78/3 = 26.

Which is a number between 20 and 30.

The problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.

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Answer:

∠ GJK = 102°

Step-by-step explanation:

(2x + 92) and (3x + 63) are same- side interior angles and sum to 180° , so

2x + 92 + 3x + 63 = 180

5x + 155 = 180 ( subtract 155 from both sides )

5x = 25 ( divide both sides by 5 )

x = 5

Then

∠ GJK = 2x + 92 = 2(5) + 92 = 10 + 92 = 102°

To find :

Solving the equation :

\( \longmapsto \sf { \dfrac{4(3x-5)}{1+5} = 13} \)

\( \longmapsto \sf { \dfrac{12x-20}{6} = 13} \)

\( \longmapsto \) 12x - 20 = 6 × 13

\( \longmapsto \) 12x - 20 = 78

\( \longmapsto \) 12x = 78 + 20

\( \longmapsto \) 12x = 98

\( \longmapsto \) x =\( \sf { \dfrac{98}{12} } \)

\( \longmapsto \bf\red { x = \dfrac{49}{6} } \)

Value of x is 49/6.

Answer:

Step-by-step explanation:

\({\underline{\underline{\bf{\red{\:\:\:Given\: Equation\:\:\:}}}}}\)

\(\mapsto\:\:\sf{\dfrac{4(3x-5)}{1+5}=13}\)

\({\underline{\underline{\bf{\blue{\:\:\:Solution\:\:\:}}}}}\\\\\)

\(\\\)

\(\qquad:\longrightarrow\:\:\:\:\sf\red{\dfrac{4(3x-5)}{1+5}=13}\)

\(\\\)

\(\qquad:\longrightarrow\:\:\:\:\sf\orange{\dfrac{4(3x-5)}{6}=13}\)

\(\\\)

\(\qquad:\longrightarrow\:\:\:\:\sf\green{\dfrac{2(3x-5)}{3}=13}\)

\(\\\)

\(\qquad:\longrightarrow\:\:\:\:\sf\blue{\dfrac{6x-3}{10}=13}\)

\(\\\)

\(\qquad:\longrightarrow\:\:\:\:\sf\purple{6x-10=39}\)

\(\\\)

\(\qquad:\longrightarrow\:\:\:\:\sf\red{6x = 39+10}\)

\(\\\)

\(\qquad:\longrightarrow\:\:\:\:\sf\blue{6x = 49}\)

\(\\\)

\(\qquad:\longrightarrow\:\:\:\:{\underline{\boxed{\sf{\purple{x = \dfrac{49}{6}}}}}}\)

\(\\\)

5th term of the sequence is -4

To find the 5th term in the sequence, we need to substitute n =  5 into the expression given

 \(a_5\) =  26- 6( 5)  

\(a_5\) =  26- 30

\(a_5\) = -4  

The formula given, an =  26- 6n, represents an  computation sequence with a common difference of-6.

This means that each term in the sequence is  attained by obtain 6 from the  former term.  

It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the  matching value of  n.

 In this case, we were asked to find the 5th term, so we substituted n =  5 into the formula to get a5 = -4.

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As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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Answer:

4

Step-by-step explanation:

The slope of a line parallel to 2y - 8x = 10 would have the same slope as 2y - 8x = 10, since parallel lines have the same slope.

So to find the slope of the line that is parallel to 2y - 8x = 10, we have to find the slope of 2y - 8x = 10. We can do this by putting the equation in slope-intercept form.

2y - 8x = 10

Add 8x to both sides.

2y = 8x + 10

Divide both sides by 2.

y = 4x + 5

So we can see that the coefficient of x is 4 when the equation is in slope-intercept form. The slope of the 2x - 8x = 10 is 4. Therefore, the slope of the line that is parallel to 2x - 8x = 10 is 4.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

b & c

Step-by-step explanation: