Kai bought 5 bags. In each bag there is bottle of Gatorade that cost 3$ and two pacIs of gum. If Kai spent 55$ all together how much did each pack of gum cost?

Answer:

x =number of child tickets

y=number of adult tickets

x + y = 9

3x +9y = 57

x = 9-y

3(9-y) + 9y =57

27 - 3y + 9y = 57

6y = 30

y=5 adult tickets

x = 4 child tickets

Answer:

adult's tickets a=5

child's tickets c=4

Step-by-step explanation:

a+c=9

9a+3c=57

c=9-a

3a+c=19

3a+9-c=19

2a=10

a=5

c=9-a=9-5=4

Answer:

The distance is roughly 86.6 m

Step-by-step explanation:

Working is attached below.

Answer:

the date is 4 January today what was the date of week before is

Step-by-step explanation:

the the date is 29 December

Answer:

AB || CE, so we have triangle DEO, two of whose angles are 100° and 26° (from point D, draw DE such that CD + DE = CE intersects BO). The third angle of this triangle measures 54°, so

x = 180° - 54° = 126°.

(1,2,4)

Range describes the y-values of a graph.

Range

Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.

Finding Range

In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).

When an economy is producing its Natural Real GDP, the rate of unemployment is the sum of the frictional unemployment rate and the structural unemployment rate.

The rate of unemployment can be broken down into different components, including frictional unemployment and structural unemployment. Frictional unemployment refers to the temporary unemployment that occurs as individuals transition between jobs or enter the workforce. Structural unemployment, on the other hand, is caused by a mismatch between the skills and qualifications of job seekers and the available job opportunities.

When an economy is operating at its Natural Real GDP, it is considered to be at full employment, meaning there is no cyclical unemployment present. Cyclical unemployment refers to the unemployment that occurs as a result of fluctuations in the business cycle, where the economy is operating below its potential output.

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The range of a logarithmic function y = log_b(x), where b is a positive real number not equal to one, depends on the base, b, of the logarithm.

For logarithms with a base greater than 1 (b > 1), the range of the logarithmic function y = log_b(x) is all real numbers. In this case, the logarithm can take on any positive or negative value.

For logarithms with a base between 0 and 1 (0 < b < 1), the range of the logarithmic function y = log_b(x) is limited to negative real numbers. In this case, the logarithm can only take on negative values.

In both cases, the range does not include zero since logarithms are not defined for zero or negative values of x.

- If b > 1, the range is (-∞, +∞), where the logarithm can be any real number.

- If 0 < b < 1, the range is (-∞, 0), where the logarithm can only be negative real numbers.

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The range of a logarithmic function y=log_(b)(x), where b is a positive real number not equal to one, depends on?

Answer: a = -3.25, b = -4, c = 0.5 and d = -4

Step-by-step explanation:

To find the coefficient of a cubic function, we can use the values in the given table to set up a system of equations and then solve for the unknowns.

Here is the system of equations we can set up using the values in the table:

y = ax^3 + bx^2 + c*x + d

0 = 0a + 0b + 0c + d

-4 = 1a - 4b + 1c + d

-26 = 8a - 4b + 2c + d

-48 = 27a - 4b + 3c + d

We can then solve this system of equations using matrix operations or Cramer's rule.

a = -26/8 = -3.25

b = -4

c = -26-8a = -26+26.5 = 0.5

d = -48-27a-4b-3c = -48+91.75-44-30.5 = -4

Therefore, the coefficient a = -3.25, b = -4, c = 0.5 and d = -4 for the cubic function y = ax³ + bx² + cx+d

It's important to note that this method of solving a system of equations is the most common way but not the only way to get the coefficients in this case.

Answer:

182.75

Step-by-step explanation:

21.5x8.50=182.75

Answer:

\(-16\)

Step-by-step explanation:

\(f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16\)

The total resistance of the circuit is 0.051 ohms.

A circuit's opposition to current flow is measured by its resistance. The Greek letter omega stands for ohms, which are used to measure resistance. German physicist Georg Simon Ohm (1784–1854), who investigated the connection between voltage, current, and resistance, is the name given to the unit of resistance known as an ohm. He is credited for coming up with Ohm's Law.

The resistors in series is given as:

R = R2 + R5 + R8

R = 8 + 18 + 14

R = 40

Also, Req = R4 + R6

Req = 7 + 3 = 10

Now, the resistors R and Req are in parallel connection.

Thus,

Rp = 10 + 40 / (10)(40)

Rp = 50/400 = 0.125

Now, R1, Rp, and R7 are in series:

R = 10 + 0.125 + 12

R = 22.125

Again, R3 and R are in parallel:

R = 22.125 + 150 / (22.125)(150)

R = 0.051

Hence, the total resistance of the circuit is 0.051 ohms.

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The expression that represents the total cost after the return is 4b + 3r.

To reduce a fraction to its lowest terms by canceling to the lowest common factor for both numerator and denominator or to simplify an algebraic expression by grouping and combining similar terms is called Simplification.

Given that 6b + 4r represents the total cost of the rice and beans Gabriel bought.

He returns 2 bags of beans and 1 bag of rice, the expression that represents the total cost after the return is (6b + 4r) – (2b + r).

The simplification of the expression of the total cost is given below.

\(6b + 4r - (2b + r)\)

\(6b + 4r - 2b -r\)

Regrouping the common terms,

\(6b-2b + 4r -r\)

\(4b + 3r\)

Therefore, the expression that represents the total cost after the return is 4b + 3r.

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Answer: B

Step-by-step explanation: reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

66°

Step-by-step explanation:

Draw the figure to left on a piece of paper and rotate in to fit. I think ∠C = ∠M.

the figures are ≅ so corresponding sizes and angles are ≅.

Answer:

41

Step-by-step explanation:

b^2 -2ac

Let  a=4  b=3  c=-4

( 3)^2 -2 (4) (-4)

Exponents first

9 - 2 (4) (-4)

Multiply

9 + 32

41

Answer:

41

Step-by-step explanation:

b^2 - 2ac                plug in the values

3^2 -2(4)(-4)             start with the exponent (remember PEMDAS)

9  -2(4)(-4)                start multiplying from left to right

9  -8(-4)                    multiply

9 + 32                       add

41                              that's your answer :)  

Answer:

Peyton can multiply 1 by 100, to make 100 over 8, and divide 100 by 8 which is 12.5 then dividing by 100 to get .125 which is equal to 1/8

Step-by-step explanation:

Answer: I am assuming the question is asking if Peyton got the decimal equivalent of 1/8 correct. Well, since the question is incomplete, I do not know what Peyton got, however, I can tell you that the decimal equivalent for 1/8 is 0.125

Answer:

your anwser is 1085

Step-by-step explanation:

Answer:

Her age is 15.

Step-by-step explanation:

13 + 14 + 15 = 42

Julia is the oldest and 15 is the greatest of the 3 numbers

therefore Julia is 15

Answer:

The new slope is 1 and the line is shifted flatter.

Step-by-step explanation:

Line A slope is 4.

Line B slope is 1.

The y-intercept rose up 3

As far as slope, it became flatter because the line only rises 1 'square' for every 1 'square' it travels to the right. It was rising 4 'squares' for every 1 to the right.  

Answer:

Slope: -1/16

Step-by-step explanation:

12-8= 4

-39-25= -64

4/-64 = -1/16

The required slope of the line that passes through the points (25, 8) and (-39, 12) is m = -1/16.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the line that passes through the points (25, 8) and (-39, 12) given as

m = (y₂ - y₁) / (x₂ - x₁)

m = 12 - 8 / -39 - 25
m = 4 / -64
m = -1/16

Thus, the slope of the line that passes through the points (25, 8) and (-39, 12) is m = -1/16.

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Answer:

Step-by-step explanation:

y=10

The name of a table that shows the relationship between two variables is a "two-way table" or a "contingency table."

A two-way table is a simple yet powerful tool used in statistical analysis to explore the relationship between two categorical variables. A categorical variable is a variable that can take on one of a limited set of values, such as gender, race, or political party affiliation.

The table consists of rows and columns, with each row representing one of the variables and each column representing the other variable. The cells of the table show the frequency or count of observations that fall into each combination of categories for the two variables. For example, a two-way table might display the number of males and females who have graduated from high school and the number of males and females who have not.

By analyzing the distribution of frequencies across the table, we can draw insights and make informed decisions about the variables being studied. For instance, we can calculate the marginal frequencies for each variable to see the total count of observations for each category. We can also calculate the conditional frequencies to examine how the distribution of one variable changes based on the value of the other variable.

Two-way tables are a useful way to summarize data and identify patterns that may not be apparent in other types of visualizations. They are commonly used in market research, social science, and other fields where categorical data is analyzed.

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Answer:

$228,692

Step-by-step explanation:

10 years so 3.25% was added 10 times

3.25(10) = 32.5

32.5 + 100 = 132.5

So Jack paid 132.5% of his loan.

x/172,598 = 132.5/100

172598(132.5) =  22,869,235

22,869,235/100 = 228,692.35

Round it to the nearest dollar and you get 228,692

Answer:

7.851 is the only one that has a 5 in the hundredth

False.

If A is a 5×4 matrix and B is a 4×3 matrix, then the entry of AB in the 3rd row / 2nd column is obtained by multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.

If A is a 5×4 matrix and B is a 4×3 matrix, then the entry of AB in the 3rd row / 2nd column is obtained by multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.

To see why, let C = AB be the product of A and B. Then, by definition, the entry in the i-th row and j-th column of C is given by the dot product of the i-th row of A and the j-th column of B. That is, Cij = Ai1B1j + Ai2B2j + ... + Ai4B4j, where Ai1, Ai2, ..., Ai4 are the entries in the i-th row of A and B1j, B2j, ..., B4j are the entries in the j-th column of B.

So, in this case, the entry in the 3rd row / 2nd column of C is given by C32 = A31B12 + A32B22 + A33B32 + A34B42. This involves multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.

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The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.

Two important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.

The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.

Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.

Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}

On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.

Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.

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When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b).

When should you use point-slope form?

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.

One of the three ways we can express a straight line is using the point slope form, also known as the point-gradient form. By merely knowing one point on the line and the slope of the line, we may use this form to get the equation of the line.

The slope and y-intercept of the matching line can be rapidly determined when we have a linear equation in slope-intercept form. This enables us to graph it as well.

The equation of a line can be represented in either slope-intercept form or point-slope form.

Slope-intercept form:

The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of the line passing through the points (3,5) and (6,11) in slope-intercept form, we can use the point-slope formula to find the slope and then use one of the points to find the y-intercept.

Point-slope form:

The point-slope form of a line is given by y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

To find the equation of the line passing through the points (3,5) and (6,11) in point-slope form, we can use the point-slope formula and one of the points.

Using the point-slope formula, the slope of the line is (11 - 5) / (6 - 3) = 6/3 = 2.

So, the equation of the line in slope-intercept form is:

y = 2x + b

We can use the point (3,5) to find the y-intercept:

5 = 2 * 3 + b

Solving for b, we get b = -1.

So the equation of the line in slope-intercept form is:

y = 2x - 1

In point-slope form, using the point (3,5), the equation of the line is:

y - 5 = 2(x - 3)

Both forms represent the same line, just in different ways.

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Answer:

n=22.5

Step-by-step explanation:

2*22.5=45, 45+3=48.

The value of the equation 2ⁿ x 3 = 48 is n = 4

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

2ⁿ x 3 = 48   be equation (1)

On simplifying the equation , we get

Divide by 3 on both sides of the equation , we get

2ⁿ = 48/3

2ⁿ = 16

when n = 4

2⁴ = 16

Therefore , the value of n = 4

Hence , the equation is n = 4

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Answer:

I would say r

RPT , because the sides are always equal so RPT is my answer. C.

Step-by-step explanation:

I hope it's correct!!

Answer: A) ∠RTP

Step-by-step explanation:

The line segments TR and PT both include only point T.  Thus, the vertex of the angle must be point T.  Thus, the angle is ∠RTP or ∠PTR.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

Step-by-step explanation: