How do i solve for x​

48 calculated on my calculator and i worked it out irl your welcome

Answer: 302 children and 42 adults

Step-by-step explanation:

x= Children y= Adults

x+ y = 344

1.50x + 2y= 537

Then I would use elimination and multiply the first equation by -2.

-2x-2y= -688

+1.5x+2y= 537

Add the equations and get

-0.5x= -151

Divide by -0.5

x= 302

Then plug x back into the equation.

302+y=344

Subtract 302 from both sides.

y=42

The probability to get the combination (black, black, red, white, white) from the urn without replacement is 0.5994. The probability to get the sequence (2, 6, 4, 9, 13) is 0.000333.

It is given that there are:-

The combination given is  [Black, Black, Red, White, White]

Let A be the event to draw out the chips in the combination [Black, Black, Red, White, White]

Probability = no. of favorable outcomes / Total no. of outcomes

Since there are 6 white chips, 4 black chips, and 5 red chips the no. of ways to select-

Therefore, n(A) = 4 X 3 X 5 X 6 X 5

=  1800

Total no. of ways to select 5 chips = ¹⁵C₅ = n

= 15!/ 10! X 5!

= 3003

Therefore, P(A) = 1800/3003

= 0.5994

Since there exists only one chip of each no. from 1 to 15, there is only one way to get (2, 6, 4, 9, 13)

Let B be the event to get the combination (2, 6, 4, 9, 13) without replacement

Hence, P(B) = n(B)/ n

= 1/3003

= 0.000333

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Analysis means examining the whole in order to learn about the individual elements. Correct option is b).

Analysis involves breaking down a complex system or situation into smaller parts in order to understand how they work together. This process allows for a more detailed examination of the individual components, which can then be studied in isolation or in relation to one another.

Analysis is a critical part of problem-solving and decision-making, as it enables us to identify patterns and relationships that might not be immediately apparent. By analyzing a situation or system, we can gain a deeper understanding of its strengths, weaknesses, opportunities, and threats, which can inform our strategic planning and risk management efforts. Correct option is b).

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Answer: equilateral

Step-by-step explanation:

The △DEF is an Isosceles triangle.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The vertices of △DEF are D(1, 19), E(16, - 1), and F(- 8, - 8).

Now,

Since, The vertices of △DEF are D(1, 19), E(16, −1), and F(−8, −8).

Hence, We find the distance of sides as;

⇒ DE = √ (1 - 16)² + (19 - (- 1))²

         = √15² + 20²

         = √ 625

         = 25

EF = √(16 - (-8))² + (- 1 - (-8))²

    = √24² + 7²

    = 625

    = 25

FD = √ (- 8 - 1)² + (- 8 - 19)²

     = √9² + 27²

      = √810

Thus, Two sides of a triangle are equal.

Hence, The △DEF is an Isosceles triangle.

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Answer:

-3

Step-by-step explanation:

Finding the Equation of a Line Given Two Points:

Most people when asked, “What is the equation of a line?”, will answer, “y = mx + b”. This is the

equation of a line in what is called slope-intercept form where “m” is the slope and “b” is the y-

intercept. So, how do you find the equation of a line? There are several different ways that you can find

the equation of a line. I find the equation of a line everytime by following the same three steps:

Step 1: Find the slope of the line.

Step 2: Use the slope to find the y-intercept.

Step 3: Use steps 1 and 2 to write the answer.

I will explain these steps by looking a several examples. Please understand that there are often several

different ways to complete each math problem, but I have found through the years that students are most

successful when the do problems the same way each and every time they attempt the problem. If you

know a different way to find the answer that is great, but I am going to show how to do the problem one

way and use the same technique everytime I see this problem.

Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).

Step 1: Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope

formula:

( )

( )

So the slope of the slope of the line passing through these two points is 3.

Step 2: Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and

we get:

y = 3x + b

Next choose one of the two point to plug in for the values of x and y. It does not matter

which one of the two points you choose because you should get the same answer in either

case. I generally just choose the first point listed so I don’t have to worry about which

one I should choose.

(–1, –2) → –2 = 3(–1) + b Multiply to simplify the problem.

–2 = –3 + b Solve for b and you will have the y-intercept. b=1

Step 3: Write the answer.

Using the slope of 3 and the y-intercept of 1, the answer is:

y = 3x + 1

Answer:

121° and 59°

Step-by-step explanation:

We'll assign the two angles 'a' and 'b'. Since they are supplementary, this means they add to 180°. We can model this peoblem with the expressions:

a + b = 180° and a - b = 62°

Let's use the second equation to find a substitution for a:

a - b = 62°

a = 62° + b

Now substitute this in the first equation and solve:

(62° + b) + b = 180°

62° + 2b = 180°

2b = 118°

b = 59°

59° + 62° = 121° this is angle a

Answer:

Step-by-step explanation:

\(Tan(R)=\frac{45}{28} \\R=Tan^{-1} (\frac{45}{28} )\\\\\\\\Tan(S)=\frac{28}{45} \\S=Tan^{-1} (\frac{28}{45})\)

Answer:

34

Step-by-step explanation:

Step 1: form an equation

n + 4 = 38

Step 2: isolate the variable (n)

n = 38 - 4

Step 3: solve the equation

n = 34

Based on the survey results and the proportion of dentists recommending Pearly brand toothpaste in the sample, we can predict that approximately 238 dentists out of 850 would recommend Pearly brand toothpaste

What is Prediction?

Prediction refers to the process of estimating or forecasting future outcomes or events based on available information, data, patterns, or models. It involves using existing knowledge, historical data, and statistical or machine learning techniques to make informed guesses or projections about what is likely to happen in the future. Prediction can be applied across various domains and fields, such as weather forecasting, stock market analysis,

To predict how many dentists out of 850 would recommend Pearly brand toothpaste, we can use the concept of proportion.

Given:

Sample size (n) = 100

Number of dentists recommending Pearly brand toothpaste in the sample (x) = 28

First, we calculate the proportion of dentists recommending Pearly brand toothpaste in the sample:

Proportion (p) = x / n = 28 / 100 = 0.28

Next, we use this proportion to predict the number of dentists recommending Pearly brand toothpaste in the population of 850 dentists:

Predicted number of dentists = p * population size = 0.28 * 850 = 238

Therefore, based on the survey results and the proportion of dentists recommending Pearly brand toothpaste in the sample, we can predict that approximately 238 dentists out of 850 would recommend Pearly brand toothpaste.

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Answer:

Step-by-step explanation:

Here you go mate

Step 1

3x(1.05)   Equation/Question

Step 2

3x(1.05)   Simplify

3x(1.05)

Step 3

3x(1.05)   Multiply them

Answer

3.15x

Hope this helps

Answer:

x = 4, y = 3.

Step-by-step explanation:

2x - 2y = 2

2x + y = 11     Subtract:

-3y = -9

y = -9/-3

y = 3

Plug y = 3 in equation 1:

2x - 2(3) = 2

2x - 6 = 2

2x = 2 + 6 = 8

x = 4.

\(\huge\text{Hey there!}\)

\(\mathsf{5 + (94 \times 9^2)}\)

\(\mathsf{= 5 + 94 \times 9^2}\)

\(\mathsf{= 5 + 94 \times \bf 9\times9}\)

\(\mathsf{= 5 + 94 \times \bf 81}\)

\(\mathsf{= 5 + \bf 7,614}\)

\(\mathsf{= \bf 7,619}\)

\(\huge\textsf{Therefore, your answer should be:}\)

\(\huge\boxed{\frak{7,619}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

\(\huge\text{Random note:}\)

\(\huge\textsf{Just do PEMDAS to solve problems like this.}\\\\\\\huge\textsf{If you are unsure what PEMDAS means, it simply}\\\huge\textsf{is:}\)

\(\frak{\bold{P}arentheses\ (a + b)}\)

\(\frak{\bold{E}xponents\ (a^2)}\)

\(\frak{\bold{M}ultiplication\ (a\times b)}\)

\(\frak{\bold{D}ivision\ (b\div a)}\)

\(\frak{\bold{A}ddition\ a + b}\)

\(\frak{\bold{S}ubtraction\ (b - a)}\)

Follow the PEMDAS order of operations:

Calculate 9 to the power of 2:

To calculate powers, this means that the base will be multiplied as indicated by its exponents; 9 is the base and 2 is the exponents, so 9 is multiplied 2 times:

Multiply and divide (from left to right) 94 * 81 = 7614

Add and subtract (from left to right) 5 + 7614 = 7619.

Answer:

360°

Step-by-step explanation:

Since this is a quadrilateral, all 4 angles add up to 360°

Answer: Parallel lines are simply lines that extend in both directions, and do not intersect.

Line CD is guaranteed to be parallel to AB

From the attachment, we have the following observations

The line drawn from CD to AB is perpendicular to AB

Points C and D are on the same straight horizontal level

This means that, the line drawn from CD to AB:

Is perpendicular to CD

is perpendicular to AB

If a line is perpendicular to two other lines, then the two other lines are parallel.

So, we can conclude that:

Lines CD and AB are parallel

Step-by-step explanation:

The perimeter of the triangle with vertices A(-1,3,3), B(4,-3,3), and C(7,7,4) is √61 + √110 + 9 found by calculating the sum of the lengths of its three sides.

To find the perimeter of a triangle with given vertices, we need to calculate the distances between each pair of vertices and then sum those distances.

Let's denote the vertices as A(-1,3,3), B(4,-3,3), and C(7,7,4). We can use the distance formula to find the lengths of the sides AB, BC, and AC.

AB = √[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]

= √[(4 - (-1))^2 + (-3 - 3)^2 + (3 - 3)^2]

= √[5^2 + (-6)^2 + 0^2]

= √[25 + 36 + 0]

= √61

BC = √[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]

= √[(7 - 4)^2 + (7 - (-3))^2 + (4 - 3)^2]

= √[3^2 + 10^2 + 1^2]

= √[9 + 100 + 1]

= √110

AC = √[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]

= √[(7 - (-1))^2 + (7 - 3)^2 + (4 - 3)^2]

= √[8^2 + 4^2 + 1^2]

= √[64 + 16 + 1]

= √81

= 9

Finally, we sum the lengths of the three sides to find the perimeter:

Perimeter = AB + BC + AC

= √61 + √110 + 9

Therefore, the perimeter of the triangle is √61 + √110 + 9.

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Answer:

the other side lengths are 6m and 8m

Step-by-step explanation:

i did the quiz and got it right

The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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Answer:mile.

B.Mary stopped and waited for the traffic light to turn green.

Step-by-step explanation:

edge 2020 its simp3l

The line y = -4 does not intersect or coincide with any side of the quadrilateral STUV.

Based on the given vertices of the quadrilateral STUV, we can plot the points on a coordinate plane:

S(-3,-3)

T(3,-5)

U(16,-7)

V(-2,-7)

To find the equation of the line y = -4, which is a horizontal line, we know that the y-coordinate of every point on that line is -4.

Since the y-coordinate of all the vertices in STUV is not -4, we can conclude that the line y = -4 does not pass through any of the vertices of the quadrilateral STUV.

Therefore, the line y = -4 does not intersect or coincide with any side of the quadrilateral STUV.

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Answer:

8

Step-by-step explanation:

16 inchers = 128 feet

128/16=8

so 1 inch = 8 feet

Answer:

16 inches:128 feet = 1 inch:8 feet

Answer:

Step-by-step explanation:

\begin{align*}

T_{1,1} &= \frac{1}{2} (f(0) + f(1)) \\

&= \frac{1}{2} (1 + \frac{1}{2}) \\

&= \frac{3}{4}

\end{align*}

Now, for two subintervals:

\begin{align*}

T_{2,1} &= \frac{1}{4} (f(0) + 2f(1/2) + f(1)) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{1 + \left(\frac{1}{2}\right)^2}\right) + \frac{1}{1^2}\right) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{1 + \frac{1}{4}}\right) + 1\right) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{\frac{5}{4}}\right) + 1\right) \\

&= \frac{1}{4} \left(1 + 2 \cdot \frac{4}{5} + 1\right) \\

&= \frac{1}{4} \left(1 + \frac{8}{5} + 1\right) \\

&= \frac{1}{4} \left(\frac{5}{5} + \frac{8}{5} + \frac{5}{5}\right)

\end{align*}

Thus, the approximate value of the integral using Romberg's method is T_2,1, and this can also be used to obtain an approximate value of π.

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To verify that the vector xp is a particular solution of the given nonhomogeneous linear system, we need to substitute xp into the system and check if it satisfies the equation.

The given nonhomogeneous linear system can be written in the form x' = Ax + f, where A is the coefficient matrix (2 1 1 -1) and f is the constant vector (-5 2). The vector xp = (1 3) is a particular solution if it satisfies the equation x' = Ax + f.

Substituting xp into the equation, we get:

x' = (2 1 1 -1) (1 3) + (-5 2)
  = (1 -1 2 -8)

Therefore, the left-hand side of the equation is:

x' = (1 -1 2 -8)

And the right-hand side is:

Ax + f = (2 1 1 -1) (1 3) + (-5 2)
       = (1 -1 2 -8)

Since the left-hand side is equal to the right-hand side, we can conclude that the vector xp = (1 3) is indeed a particular solution of the given nonhomogeneous linear system.

We have verified that the vector xp = (1 3) is a particular solution of the given nonhomogeneous linear system by substituting it into the equation and checking if it satisfies the equation.

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Answer:

8

Step-by-step explanation:

3(8-m)=5m-40

you first distribute 3 through the parenthesis

24-3m=5m-40

Move the variable to the left and change sign

24-3m-5m=-40

now move the constant to the right

-3m-5m=-40-24

collect like terms

-8m=-40-24

-8m=-64

Divide both sides by -8 and negative divide negative number becomes positive

so m = 8

so I put your equation in cymath. feel free to use it whenever you need help. it really do comes in handy.

Answer:

3 < x < 6

Step-by-step explanation:

8 < 3x - 1 < 17

Add 1 to all sides

8+1 < 3x - 1+1 < 17+1

9 < 3x  < 18

Divide all sides by 3

9/3 < 3x/3  < 18/3

3 < x < 6

Answer:

x=(3,6)

Step-by-step explanation:

3x-1>8 and 3x-1<17

3x>9           3x<18

x=3               x=6

Answer:

If 20 more soldiers join it would last 48 days

Step-by-step explanation:

if 80 soldiers need 84000 food for 60 days it means that in 60 days one soldier eats 84000/80= 1050 each

then 1050/60=17.5 meaning they need 17.5 food a day each,

adding 20 soldiers means 80+20= 100 soldiers

100*17.5=1750 food is eaten every day

84000/1750= 48 which means that 100 soldiers will eat 84000 in 48 days

Answer:

7 inches/5 yards = 105 inches/y yards

105 ÷ 7 = 15, so y = 5 × 15 = 75.

The actual park is 75 yards wide.

Answer:

101

Step-by-step explanation:

41+38=79

180-79=101