at the city museum, child admission is $5.20 and adult admission is $9.10. on saturday, 162 tickets were sold for a total sales of . how many child tickets were sold that day?

The additive inverse of − 5 − 7 is 12

The additive inverse of a number is the number that when added to the original number results in zero.

For example, the additive inverse of 5 is -5 because 5 + (-5) = 0.

In our question, the additive inverse of − 5 − 7 would be the number that when added to − 5 − 7 would give zero.

So, the additive inverse of -12 is 12 because -12 + 12 = 0

It is important to note that for any number 'a', its additive inverse is always -a. So if we take any number as a, its additive inverse will be -a.

In summary, additive inverse is the opposite of a number in terms of addition, and it is a number that when added to the original number it results in zero. and the additive inverse of -12 is 12.

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Answer:

-4/-5 the line is negative

Step-by-step explanation:

Answer:

see attached

Step-by-step explanation:

www desmos com/calculator

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If a metalworker has a metal alloy that is 20% copper . The number of kilograms of each alloy should the metalworker combine to create 90 kg of a 60% copper alloy is: 18kg (20% copper), 72kg (70% copper).

Let the amount of 20% copper be  x kg. Since, total of 90 kg is needed, amount of 70% copper is 90-x kg .

So,

0.20x +0.70(90-x) = 0.60(90)

0.20x + 63 - 0.70x = 54

Combine like terms

0.50x =9

Divide both side by 0.50

x = 9/0.50

x = 18kg (20% copper)

Hence,

90-x

90 - 18 =72kg (70% copper)

Therefore the number of kilograms of each alloy is: 18kg (20% copper), 72kg (70% copper).

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Answer:The man had hiccups. The barman recognized this from his speech and drew the gun in order to give him a shock. It worked and cured the hiccups so the man no longer needed the water.

Step-by-step explanation:

The required value of k will the system of linear equations has infinite number of solutions is 6.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Given:

3x + 5y = 0.

2: kx + 10y = 0.

Both equations are expressed as: Whereas a1 & a2 are the coefficients of x, b1 & b2 are the coefficients of y, and c1 & c2 are the constants

The solution indicates that:

a1 = 3 a2 = k b1 = 5 b2 = 10 c1 = 0 c2 = 0

Only when the equation is satisfied by a nontrivial solution, or with values other than x = 0 and y = 0,

will the equation have a nonzero solution. If the above numbers are entered into the equation for the given system of equations, there will be a non-zero solution.

[tex]\frac{a_{1}}{a_{2}} =\frac{b_{1}}{b_{2}}[/tex]

9/k = 5/10

5k = 30

k = 6

Thus, required value of k is 6.

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Complete Question:

The value of k for which the system of equations 3x + 5y = 0 and kx + 10y = 0 has a non - zero solution, is

The number of gallons  to cover 4 walls will be 1.28  gallons

The walls are four in number. Each wall is rectangular in shape. The length of each wall is 14 feet and the height is 8 feet. A gallon of paint will cover an area of 350 square feet. For each wall, the area can be computed since the height and the length is known.

Area of each wall(rectangle) = Length × height

length = 14 feet

height = 8 feet

Area of each wall(rectangle) = 14 × 8

Area of each wall = 112 square feet

The total square feet is 112 × 4 walls

The total square feet of the 4 walls = 448  square feet

Since, 1 gallon will  cover 350 square feet, the number of gallons will be:

= 448/350

= 1.28  gallons

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2y = x  -8 is the equation of line w.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, Line v has an equation of y= – 2x+5.

also given Perpendicular to line v is line w

Slope of the perpendicular line w = -1/(Slope of the line v)

From Slope intercept form

y = mx + c

where m is the slope

Slope of the perpendicular line w = -1/ (-2)

The slope of the perpendicular line w = 1/2

Thus, the equation of a line:

y = 1/2x + c

Since, w passes through the point (6, – 5).

Thus,

-5 = 1/2 * 6 + c

c = -8

So, the equation of line y = 1/2x -8

Therefore, the Equation of line w is 2y = x  -8.

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The compound inequality's solution set is represented by the symbol x. (2 , 6).

The intersection of the answers to each individual inequality is the answer to a compound inequality, which is a pair of inequalities connected by the word and. Alternatively put, both claims have to be accurate simultaneously.

The inequality is expressed as follows: 8x - 9 39 and 3.5x - 10 > -3.

Take one: 3.5x - 10 > -3

Then multiplying by 10 on each sides

⇒ 3.5x - 10 + 10 > -3 + 10

⇒ 3.5x > 7

the two sides are now divided by 3.5.

⇒ x > 2

Now, 8x - 9 < 39

On all sides, add 9.

⇒ 8x - 9 + 9 < 39 + 9

⇒ 8x < 48

then multiply both sides by 8 now.

⇒ x < 6

The compound inequality presented has the following solution set: x (2 , 6).

The complete question is,

In which case does the compound inequality's solution set exist? A, B, C, D for 3.5x-10>-3 and 8x-939.          

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A cubic polynomial with rational coefficients has the roots 2 + √7 and 3/8, so the one additional root is: 2 - √7

When exponents, constants, and variables are joined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable).

According to the conjugate root theorem, irrational roots of P(x) = 0 with the formula (a + √b) occur in conjugate pairs if P(x) is a polynomials with rational coefficients. This means that (a - √b) is likewise a root if (a + √b) is an irrational root and (a and b) are rational.

In this case, a cubic polynomial with rational coefficients has the roots 2 + √7 and 3/8, so the one additional root is: 2 - √7

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The probability that the mean salary of the sample is less than $60,000 is approximately 0.3576.

To calculate the probability that the mean salary of a random sample of 35 specialists is less than $60,000, we can use the central limit theorem which states that the mean of a large enough sample size from a population with a finite mean and finite standard deviation will be approximately normally distributed.

Given that the mean annual salary for environmental compliance specialists is $66,000 and we are taking a random sample of 35 specialists, we can assume that the sample mean will be approximately normally distributed with a mean of $66,000 and a standard deviation of [tex]$\frac{66,000}{\sqrt{35}}$[/tex]

To find the probability that the mean salary of the sample is less than $60,000, we need to standardize the value of $60,000 by subtracting the population mean and dividing by the standard deviation of the sample mean:

[tex]$z = \frac{60,000 - 66,000}{\frac{66,000}{\sqrt{35}}} = -0.537$\\[/tex]

Using a standard normal table or calculator, we can find the probability that a standard normal variable is less than -0.537. This probability is approximately 0.3576 or 35.76%.

So, the probability that the mean salary of a random sample of 35 specialists is less than $60,000 is approximately 35.76%.

It's important to note that this is an approximation and actual probability would be determined through experimental measurements.

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Patterns where the output is addition or subtraction the same value is Linear

Patterns where the output is multiplying or dividing the same value is Exponential.

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given:

We know In a linear relationship the y-values have equal differences.

Then, we can say that linear relation support addition and subtraction.

Thus, Patterns where the output is addition or subtraction the same value is Linear

Now, In an exponential relationship, the y-values have equal ratios.

Then, we can say that exponential relation support multiplying or dividing.

Thus, Patterns where the output is multiplying or dividing the same value is Exponential.

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The total weight lost by Luke and Liam each is 6 pounds

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.

Luke's weight loss journey;

Weight luke lost in the first week; x pounds

The weight he lost in the second week is 3/2 pounds less than 3/2 times the pounds he lost in the first week. Thus;

Weight luke lost in the second week = ³/₂x - ³/₂ pounds

In the third week, he lost 1 pound more than 3/4 of the pound he lost in the first week. Thus;

Weight luke lost in the third week = (³/₄x) + 1 pounds

Total weight lost by luke in 3 weeks = x + ³/₂x - ³/₂ + ³/₄x + 1

=¹³/₄x - ¹/₂

Liam's weight loss journey;

First week he lost 1 pound less than 3/2 times the pounds luke lost in the first week

Weight Liam lost in the first week; ³/₂x - 1 pounds

The weight he lost in the second week is 4 pounds less than 5/2 times the pounds luke lost in the first week. Hence:

Weight Liam lost in the second week = ⁵/₂x - 4 pounds

In the third week, he lost 1/2 pound more than 5/4 of the pound luke lost in the first week. Hence:

Weight Liam lost in the third week = (⁵/₄x) + ¹/₂ pounds

Total weight lost by Liam in 3 weeks = ³/₂x - 1 + ⁵/₂x - 4 + ⁵/₄x + ¹/₂

⇒ ²¹/₄x - ⁹/₂ pounds

uke and Liam lost the same weight over 3 weeks. Hence:

¹³/₄x - ¹/₂ = ²¹/₄x - ⁹/₂

⇒ ²¹/₄x - ¹³/₄x = ⁹/₂ -  ¹/₂

⇒ 2x = 4

x = 4/2

x = 2

The expression for Luke's weight loss over the 3 weeks =

¹³/₄x - ¹/₂ pounds

The expression for Liam's weight loss over the 3 weeks =

²¹/₄x - ⁹/₂ pounds

The number of pounds Luke lost in the first week =

x = 2 pounds

The number of pounds Luke and Liam each lost over the three weeks = 6 pounds

Therefore, the total weight according to expression lost by Luke and Liam each will be 6 pounds

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Solution of the non linear equations are (-5, √11) , (-5,-√11) and (6,0)

When two or more equations are being solved concurrently, at least one of them must be a system of nonlinear equations. Be aware that just one of your equations—not all of them—can be linear in a nonlinear system.

Any function whose graph is NOT a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of the form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope. Every pair of points on the graph do not have the same slope.

The non linear equations are :

(i)      y² = 6 - x

(ii)     x² + y² = 36

From , (i) putting y² = 6 - x in equation (ii) we get

x² + 6 - x = 36

⇒ x² - x - 30 = 0

⇒x² +5x - 6x -30 =0

⇒x(x+5) -6(x+5) = 0

⇒(x+5)(x-6) = 0

so, x = -5 and x = 6

when x = -5

y² = 6 - x is

y² = 6 + 5 = 11

⇒ y = ±√11

and when x = 6

y² = 6 - x is

y² = 6-6

y = 0

Solution of the non lineae equations are (-5, √11) , (-5,-√11) and (6,0).

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The function N(T(t)) will be N(T(t)) = 550t² - 30t - 54.5. Then the number of bacteria approximately will be 1.129 × 10⁹.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

N(T) = 22T² - 72T + 4

T(t) = 5t + 1.5

Then the function N(T(t)) will be given as,

N(T(t)) = 22(5t + 1.5)² - 72(5t + 1.5) + 4

N(T(t)) = 550t² + 330t + 49.50 - 360t - 108 + 4

N(T(t)) = 550t² - 30t - 54.5

At t = 1433, then we have

N(T(t)) = 550(1433)² - 30(1433) - 54.5

N(T(t)) = 1.129 × 10⁹ - 42,990 - 54.5

N(T(t)) ≈ 1.129 × 10⁹

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The missing question is attached below.

A statement which best describes the function represented by the graph include the following: B) The function is decreasing on the interval (-∞, ∞).

For any given function, y = f(x), if the output value (range or y-value) is decreasing when the input value (domain or x-value) is increased, then, the function is generally referred to as a decreasing function.

On the other hand (conversely), if the output value (range or y-value) is increasing when the input value (domain or x-value) is increased, then, the function is generally referred to as an increasing function.

By critically observing the graph above, we can reasonably infer and logically deduce that this function is decreasing over the interval -∞ < x < ∞, from left to right.

In conclusion, the output values (range or y-values) of this function are decreasing from left to right i.e as we move towards the right.

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Answer:1/4 divided by 1/4

Step-by-step explanation:

The original price of the tech stock would be = $358.38

The decrease in price of the stock tech in first week = 22%

The decrease in the second week = 15%

The total decrease = 22+15 = 37%

If 37% of the price after its decrease = $132.60 then it's 100% would = X

That is 37% = $132.60

100% = X

Make X the subject of formula;

X = 100 × $132.60/ 37

= 13260/37

= $358.38

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hope it helps you

thank you

Therefore ,as a result the domain and range for the given function problem are Domain: (-∞, ∞) and   Range: (0,∞).

The function will only return one or no results for any input. If there are multiple outputs for a specific input, the phrase does not specify the function. Anything that is a function must only have one output value for the y variable for each value of x.

Here,

Given :  f(x)= 2ˣ+1

The curve of an exponential function often achieves a horizontal equilibrium state at y=0 or the x-axis if a number has not been added. If it has, the curvature is altered.

Since it does not applied to the full function, this function's multiplication on the exponent has no impact on the asymptote.

Its y-axis values remain in the range of 0 and. This is the range, or the set, of y values.

However, the spectrum of exponentials might vary depending on the unit vector. The graph flips inside out and the spectrum reaches - if the result is negative. Additionally, this is inadequate.

The function is moved to the left sans modifying the range when the exponent is added to 1.

In exponential functions, the x values are frequently unaffected but all are taken into consideration. Even while it varies, the domain remains constant. The range of it is 0 to ∞ .

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Answer:

2 gallons 100% vegetable juice

4 gallons 40% vegetable juice

Step-by-step explanation:

x = gallons of 100% vegetable juice

y = gallons of 40% vegetable juice

1x + .4(6 - x) = 6(.6)

1x + 2.4 - .4x = 3.6

.6x + 2.4 = 3.6

.6x = 1.2

x = 2

y = 6 - x

y = 6 - 2

y = 4

2 gallons 100% vegetable juice

4 gallons 40% vegetable juice

Answer:

2x-3

Step-by-step explanation:

Apply Multiplicative Distribution Law: 6x - 3 - 4x

Combine like terms:2x-3

Answer:Distribution 2

Step-by-step explanation:

yes

According to the scores of a recent test taken by 95, the number of students who scored more than 85 is determined using z-score, which is 48 students.

What is a z-score?

Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.

The number of observations is, n = 95.

The mean value is, μ = 85.

The observed value is, x = 85.

The standard deviation value is, σ = 14

The formula for z-score is -

Z = (x - μ)/σ

Where,  Z = standard score

x = observed value

μ = mean of the sample

σ = standard deviation of the sample

Substitute the values in the formula -

Z = (x - μ)/σ

Z = (85 - 85)/14

Z = 0/14

Z = 0

Now, from Cumulative normal distribution table the value for -

Z(0.0) = 0.5000

To find the number of students who scored more than 85 -

= (1 - Z-score) × n

= (1 - 0.5000) × 95

= 0.5000 × 95

= 47.5 ≈ 48

Therefore, 48 students got score higher than 85.

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Answer: -10x/3-7/10

Step-by-step explanation:

Answer:7/3 in exact form.

Step-by-step explanation:

If you need it in mixed form or decimal form. Decimal form:2.3

Mixed number form:2 1/3

The equation (3/5)(30x - 15 )= 72 will be equal to the expression 18x - 9 = 72. The correct option is C.

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Now,

The given expression (3/5)(30x - 15 )= 72 will be calculated as:-

(3/5)(30x - 15 )= 72

Multiply the left-hand side of the equation by ( 1 / 5 ) and solve.

(3 )(6x - 3 )= 72

Multiply the left-hand side of the equation by (3 ) and solve.

18x - 9 = 72

Therefore, the equation (3/5)(30x - 15 )= 72 will be equal to the expression 18x - 9 = 72. The correct option is C.

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The complete options are given below:-

A). 18x - 5 = 72

B) 50x - 25 = 72

C) 18x - 9 = 72

D) x = 4.5

A test using traceroute command is performed to a destination site. The number of routers in this test is 8. The second test is performed after two hours and the paths does not change. In general case, the paths might change if there are network problems and it needs to do re-routing.

Traceroute is a command like ping command used for isolating problems in the network. Unlike ping command, traceroute does not need to know the IP address of the destination site.

The TTL (Time to Live) field in the IP packet header is used by Traceroute. TTL is typically used to prevent packets from being sent indefinitely when there is a routing loop. When a router forwards an IP packet, the TTL is reduced by one. When the TTL reaches zero, the IP packet is dropped.

This is an example for the result of traceroute command:

C:\Users\ayuner>tracert  [31.13.64.35]

Tracing route to  [31.13.64.35]

over a maximum of 30 hops:

1     9 ms     8 ms     8 ms  D5644061.static.ziggozakelijk.nl [215.99.12.17]

 2     9 ms    14 ms     8 ms  tb-rc0001-cr101-ae40-0.core.as9143.net [213.51.158.66]

 3    10 ms    12 ms    11 ms  asd-tr0042-cr101-ae5-0.core.as9143.net [213.51.158.18]

 4    14 ms    12 ms    12 ms  br02.ams1.tfbnw.net [80.249.209.164]

 5    12 ms    12 ms    13 ms  po131.asw01.ams3.tfbnw.net [157.240.35.46]

 6    12 ms    12 ms    13 ms  po232.psw01c.amt2.tfbnw.net [157.240.35.175]

 7    13 ms    12 ms    12 ms  msw1ad.01.amt2.tfbnw.net [173.252.64.255]

 8    12 ms    11 ms    13 ms  edge-star-mini-shv-01-amt2 [31.13.64.35]

Trace complete.

Your question is incomplete. Most likely it was:

Perform a Traceroute between source and destination on the same continent at three different hours of the day. Find the number of routers in the path at each of the two hours. Did the paths change during any of the hours?

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