Solve: 3 2/4 + 5 4/11 = ___

The number 120 in the equation of y = 5x + 120 mean is there were 120 customers per night when the restaurant opened.

For this case, the equation of y = 5x + 120 is for linear relationship.

Which is

y represent average number of nightly customer.

x represent number of months the restaurant opened.

For example for month 0 or for the first time restaurant open the nightly customer is,

y = 5(0) + 120

y = 0 + 120

y = 120

It mean the average number of nightly customer is 120 in the first time restaurant open. After month 0, in month 1 the nightly customer is increase by 5. So, total average nightly customer is 125, and so on.

Attached graph is for visualization and to make it easier to understand the equation mean.

Thus, number 120 in the equation is to represent there were 120 customers per night when restaurant opened.

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Answer:

  107 meters

Step-by-step explanation:

You want Nikko's distance from a 50 m high building if the angle of elevation to the top is 25°.

The tangent relation tells you the acute angle in a right triangle is related to the sides by ...

  Tan = Opposite/Adjacent

In this problem, the relation means ...

  tan(25°) = building height / distance to building

Solving for the distance to the building, we get ...

  distance to building = (building height)/tan(25°) = (50 m)/tan(25°)

  distance to building ≈ 107.225 m

Nikko is about 107 meters from the building.

Rate of change: 9
Initial value: 14

explanation:
9 x 4 = 36 (she adds 9 stickers every week, it's 4 weeks)
50 - 36 =  14 (subtract what she added to find initial value)

We have to use pigeonhole principle to find balls from bowl. From 75 balls at least one out of 31 balls will be of black color, out of 23 balls will be red, out of 25 will be blue, out of 27 balls will be green, out of 29 will be yellow.

out of 75 balls for each ball to be chosen at least once then we have to compute each color of ball separately,

By using the pigeonhole principle's formula n(r - 1) + 1

For red ball,

N=11, k=1, [N/2]≥3

= 11(3-1)+1

= 23

Hence, out of 23 balls from 75 balls at least one will be of red color

For, blue ball

N=12, k=1, [N/2]≥3

= 12(3-1)+1

= 25

Hence, out of 25 balls from 75 balls at least one will be of blue color

For green color,

N=13, k=1, [N/2]≥3

= 13(3-1)+1

= 27

Hence, out of 27 balls from 75 balls at least one will be of green color

For yellow ball,

N=14, k=1, [N/2]≥3

= 14(3-1)+1

= 29

Hence, out of 29 balls from 75 balls at least one will be of yellow color

For black ball,

N=15, k=1, [N/2]≥3

= 15(3-1)+1

= 31

Hence, out of 31 balls from 75 balls at least one will be of black color

The pigeonhole principle states that if n items are put into m containers, where n > m, at least one container must contain more than one item. If there are k+1 or more pigeons dispersed throughout the k pigeonholes, at least one pigeonhole will have two or more pigeons. Proof. The statement's converse is that there can only be a maximum of k pigeons if each slot can only accommodate one bird.

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Answer:

66 foot per second

Step-by-step explanation:

Answer: M=9

Step-by-step explanation:

Answer: 23

Step-by-step explanation: To evaluate the expression (2.3x6)+(2.3x4), we can first use the order of operations to simplify the expression. Since the multiplication and division have the same precedence, we can evaluate them from left to right. Therefore, we have: (2.3x6)+(2.3x4) = (2.36)+(2.34)

Next, we can evaluate the multiplication to get: (2.36)+(2.34) = 13.8 + 9.2

Finally, we can evaluate the addition to get: 13.8 + 9.2 = 23

Therefore, the value of the expression (2.3x6)+(2.3x4) is 23.

What is it you are trying to solve with the given equation? Are you graphing it? Determining the slope and y-intercept? Finding slope? Elaborate a bit more, if you could, on what you seek and I'll see what I can do to help. Tysm!

The true statement about his relationship is that the hours worked is directly proportional to the money earned.

We know that a graph could be used to show the relationship between variables. This relationship can be shown by the use of the cartesian coordinates. The cartesian coordinates is directed in the x and the y plane as shown in the image in the question.

Now, we can see that the line of best fit that was drawn through the data points is point upwards. This would show us that as the number of hours worked is increasing, the money earned is also increasing.

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The percentage of girls in a class are 26.67%.

What is percentage?

A percentage in mathematics is a number or ratio that is expressed as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, though the percent sign, "%," is most frequently used. A percentage has no dimensions and no standard measurement.

Given:

In a class of 45 student there are 12 girls.

We have to find the percentage of girls in the class.

Percentage of girls = (number of girls / Total number of students ) x 100

                                = (12 / 45) x 100

Percentage of girls = 26.6666

Percentage of girls ≈ 26.67

Hence, the percentage of girls in a class are 26.67%.

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In the quadratic function f(x) = -x² – 5x + 12 the true statement is

A quadratic equation when plotted traces a parabolic path hence the graph of the quadratic equation is said to be a parabola hence this is a true statement

When x² opens up when positive but down when negative. since the function is negative hence the curve opens down

from the attached graph the points in the graph is shown and the origin (0, 0) is inclusive

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The answers to both the subparts using the inversely proportional property are shown:

(A) The formula will be: M = 375/g³

(B) The value of g is 15 when M = 1/9.

When one variable decline, the others also decline in the same ratio.

When two variables move in opposite directions, one variable reduces as another increase, and the other increases as another variable lower, the variables are said to be inversely proportional.

Since M and g3 have an inverse relationship, we can say:

M = k/g^3

Assuming that g = 2.5 and that M = 24 then:

24 = k/(2.5)^3

24*(2.5)^3 = k = 375

(A) Formula for M in terms of G:

The formula will be M = 375/g³.

(B) Value of G when M = 1/9:

If M = 1/9, we get:

1/9 = 375/g^3

g^3 = 9*375

g = ∛(9*375) = 15

Therefore, the value of g is 15 when M = 1/9.

Therefore, the answers to both the subparts using the inverse proportional property are shown:

(A) The formula will be: M = 375/g³

(B) The value of g is 15 when M = 1/9.

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The numerical will be equal to 159 ÷ 16 and the polynomial will be (9x +15)/x.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

In comparison to the divisor, the dividend will be 15 times greater. It seems that you are free to select any divisor. It must be more than 15 if the divisor is totally numerical.

Numerical:

Divisor = 16,

so we have,

(9×16 +15) ÷ 16

= 159 ÷ 16

Polynomial:

The simplest divisor we can have is a single variable: x.

(9x +15)/x

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Answer:

y=-6

Step-by-step explanation:

1. -2y+6=y+24

2. -2y-y=24-6

3.-3y=18

4. y=-6

x = amount of the 80% broth

y = amount of water with 0% broth

keeping in mind that water has no broth in it, so 0% of broth, let's plug in those percentages in decimal format to see how much each one has.

what's 80% of "x"? well (8/100) * x = 0.80x.

what's 0% of "y"?  well hell is just 0.

what's 60% of 200? well anyhow is just 120.

[tex]\begin{array}{lcccl} &\stackrel{liters}{quantity}&\stackrel{\textit{\% of liters that is}}{\textit{broth only}}&\stackrel{\textit{liters of}}{\textit{broth only}}\\ \cline{2-4}&\\ \textit{80\% Sol'n}&x&0.80&0.80x\\ water&y&0.00&0\\ \cline{2-4}&\\ mixture&200&0.60&120 \end{array}~\hfill \begin{cases} x + y = 200\\\\ 0.80x+0=120 \end{cases} \\\\[-0.35em] ~\dotfill\\\\[/tex]

[tex]\stackrel{\textit{using the 2nd equation}}{0.8x=120}\implies x=\cfrac{120}{0.8}\implies \boxed{x=150~liters} \\\\\\ \stackrel{\textit{using the 1st equation}}{150 + y = 200}\implies y=200-150\implies \boxed{y=50~liters}[/tex]

Answer: 15000

Step-by-step explanation: Step by step solution for calculating 135 is 0.9 percent of what number

We already have our first value of 135 and the second value of 0.9. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1135 = 0.9% × Y

STEP 2135 =

0.9

100

× Y

Multiplying both sides by 100 and dividing both sides of the equation by 0.9 we will arrive at:

STEP 3Y = 135 ×

100

0.9

STEP 4Y = 135 × 100 ÷ 0.9

STEP 5Y = 15000

Finally, we have found the value of Y which is 15000 and that is our answer.

You can easily calculate 135 is 0.9 percent of what number by using any regular calculator, simply enter 135 × 100 ÷ 0.9 and you will get your answer which is 15000

The expression to show how to find Milan's age when Raul is 14 is x + 6 = 14.

An expression is simply used to show the relationship between the variables in the data.. Addition, subtraction, multiplication, and division are possible mathematical operations.

Let Milan's age be x

Rauls age = x + 6

Therefore, when Raul is 14, Milan will be:

x + 6 = 14

Collect like terms

x = 14 - 6

x = 8

Milan is 8 years.

The expression is x + 6 = 14

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Complete question

Milan is 6 years younger than Raul. Write an expression to show how to find Milan's age when Raul is 14

Answer:

Step-by-step explanation: 69

The volume of the cube will increase by 8 cubic centimeters per second.

Given,

The edge length of a cube is changing at a rate of 1/6 cm/sec.

We have to find the rate by which cube's volume changing when the edge length is 4 cm.

Here,

We have,

da/dt = 1/6 cm/sec

We know that, volume of cube is

V = a³

Differentiate with respect to t.

dV/dt = 3a² da/dt

Substituting da/dt = 1/6  and a = 4, we get;

dV/dt ₐ ₋ ₄ = 3 × 4² 1/6

dV/dt ₐ ₋ ₄ = 3 × 16 × 1/6

dV/dt ₐ ₋ ₄ = 16/2 = 8

Therefore,

The volume increased by 8 cubic centimeters per sec.

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Answer:

[tex]M=\left(-1, \dfrac{7}{2} \right)[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Midpoint between two points}\\\\Midpoint $=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.\\\end{minipage}}[/tex]

Given endpoints:

Substitute the given points in the midpoint formula:

[tex]\implies M=\left(\dfrac{x_C+x_A}{2}, \dfrac{y_C+y_A}{2} \right)[/tex]

[tex]\implies M=\left(\dfrac{-5+3}{2}, \dfrac{16+(-9)}{2} \right)[/tex]

[tex]\implies M=\left(\dfrac{-2}{2}, \dfrac{7}{2} \right)[/tex]

[tex]\implies M=\left(-1, \dfrac{7}{2} \right)[/tex]

Answer:

A) x=4

Step-by-step explanation:

Answer:

1. 4

Step-by-step explanation:

3/4 x + 4 = 7  Multiply all the way through by 4 to clear the fraction

3x + 16 = 28   Subtract 16 from both sides

3x = 12  Divide both sides by 3

x = 4

The correct option for the dilation scale factor is-

By creating a right triangle with vertices just at origin, Point P as an extra point, and a leg down the x-axis, the scaling factor can be applied.

Thus, this triangle will plot a new point, the image of P, on the line with any dilation given to it.

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The time that has elapsed before the body was found is 1.5 hour

Newton's law of cooling states that the rate of heat loss from a body is inversely related to the temperature difference between the body and its surroundings.

Given:

when time, t = 0, temperature = 98.6 ⁰F

when time, t = 1, temperature = 75⁰

when time,  t = t, temperature = 80⁰

By Newton's method of cooling equation;

T(t) = [tex]T_s (T_0 - T_s)e^{kt[/tex]

T(t) = 70+  28.6[tex]e^{kt[/tex]

Now, At the time of discovery

80 = 70+  28.6[tex]e^{kt[/tex]

10= 28.6[tex]e^{kt[/tex]

Then, 1 hour later( t + 1) we have the second equation;

75= 70 + 28.6[tex]e^{kt[/tex]

28.6[tex]e^{kt[/tex] = 5

Now, divide equation 1  by equation 2;

2= [tex]e^{-k[/tex]

k = -0.693

The time when he dead body was discovered

10= 28.6[tex]e^{kt[/tex]

10= 28.6[tex]e^{-0.693[/tex]

-0.693t = ln (10 /28.6)

-0.693t = -1.05

t= 1.5 hour

Hence, the time that has elapsed before the body was found is 1.5 hour

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Answer:

four x plus three divided by two

Step-by-step explanation:

based on the results of this t-test, report the p value. explain this means in context of a type 1 error is  you can reject the null hypothesis, but this does not necessarily mean that your alternative hypothesis is true.

What does p-value tell you about error?

The p-value only tells you how likely the data you have observed is to have occurred under the null hypothesis. If the p-value is below your threshold of significance (typically p < 0.05), then you can reject the null hypothesis, but this does not necessarily mean that your alternative hypothesis is true.

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Answer:

(2x+2)=(3x-52)

2x+2=3x-52

2x-3x=-52-2

-x=-54

x=54

Using the binomial probability concept, the standard deviation of the number of people who suffer from insomnia is =24.21

What is binomial probability?

When an experiment or survey is repeated numerous times, the likelihood that the results will be SUCCESS or FAILURE is known as the binomial distribution. The prefix "bi" implies "two" or "twice," therefore the term "binomial" refers to a distribution type with two probable outcomes. A coin flip, for instance, can only result in one of two outcomes: heads or tails, and completing a test can result in either passing or failing.

standard deviation =[tex]\sqrt{n*p(1-p)}[/tex]

p = probability of success = 6% = 0.06

1 - p = 1 - 0.06 = 0.94

Sample size, n = 10400

Substituting the values into the equation :

[tex]\sqrt{10400*0.06(1-0.04)}[/tex]

[tex]\sqrt{10400*0.06(0.94)}[/tex]

[tex]\sqrt{10400*0.0564}[/tex]

[tex]\sqrt{586.56}[/tex]

= 24.21  

Hence, the standard deviation is 24.21.

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The frictional loss will be greater for aspect ratio of 2 as friction will be more when the height of the duct is higher compared to the increase in width.

In a straight duct with constant cross sectional area , the velocity of the water is changed. The change in static pressure is the frictional loss .

In the duct the energy is constant. Therefore when water moves upwards with the increase in height the frictional loss or the pressure loss will be more more.

When width increases there will be less pressure, So frictional loss will be increased with height.

Let the width and height be a and b respectively.

now area = ab

and a\b =2

or, a = 2b

again a\b = 4 or, a = 4b

if ab is constant then the height for the aspect ratio of 4 is greater.

Therefore there will be more frictional loss for the increased height.

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Answer:

y = -4x + 0 or y = -4x

Step-by-step explanation:

y = mx + b

y = -4x + b

21 = -4(0) + b

21 = 0 + b

b = 0

y = -4x + 0 or y = -4x (the 0 is unnecessary to write but you could write it both ways)

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