The following year Tiffany gets $25 and 1 box of candy. Todd gets $20 and 5 boxes of candy. Their grandmother assures them that she spent the same amount on each gift. What is the price of a box of candy?

After calculating the angles, we know that the value of x is (C) 99°.

An angle is formed when two straight lines or rays meet at a single terminal.

The place where two points converge is known as an angle's vertex.

The name "angel" comes from the Latin word "angulus," which means "corner."

Angles are also produced when two planes intersect.

These are what are known as dihedral angles.

So, according to the given figure of the diagram:

We can say that:

y + 116 = 180

y = 180 - 116

y = 64°

Now, calculate for x inside the given figure:

125 + 72 + 64 + x = 360

261 + x = 360

x = 360 - 261

x = 99°

Therefore, after calculating the angles, we know that the value of x is (C) 99°.

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The dimensions of the rectangle is 25m × 25m.

Two dimensions make up a rectangle: the length and, perpendicular to that, the breadth.

The three dimensions of a three-dimensional shape are length, width, and depth.

It is given that

Perimeter of the rectangle = 100m

Area is as large as possible if both the values are the same number.

The measurements must be equivalent for the rectangle to attain its maximum area.

Consider the dimensions as x

So perimeter can be written as

2 (x + x) = 100

2 (2x) = 100

By additional computation

4x = 100

Divide both sides by 4

x = 25

Therefore, the dimensions of a rectangle is 25m × 25m.

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Each tube costs $15.17 to the group of friends when they rent 15 tubes for floating down near the Ichetucknee River. The procedure is as follows:

Given, the cost of each tube; 15 tubes would cost $277.50 to rent.

Consequently,

                                                      =22750 pennies

The expense of one tube= (22750/15)cents

                                          =1516.7 pennies

                                          = $15.17

The expense split technique is a method used to distribute the cost of a shared expense among a group of individuals. It involves dividing the total cost of the expense by the number of people in the group to calculate each person's share of the cost.

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The equation of the line passing through the two points [tex](1,1)[/tex] and [tex](3,5)[/tex] is [tex]\frac{3}{1}[/tex] i.e.  [tex]y=2x-1[/tex]

For finding the equation of lien if two points are given then we will use the two-point form i.e.

[tex]y-y_{1}=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } (x-x_{1})[/tex]

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{5-1}{3-1} \\m=\frac{4}{2} \\m=\frac{2}{1}\\m=2[/tex]

The slope of the line is [tex]2[/tex]

The point [tex](x_{1} ,y_{1} )=(1,1)[/tex]

Plug in these values

[tex]y-1=2(x-1)\\y-1=2x-2\\y=2x-2+1\\y=2x-1[/tex]

The equation of the line is [tex]y=2x-1[/tex]

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For the given pair of equations, the given ordered pair does not represent the solution.

Given is the equation -

7a + 8b = 3

For [a] = 0 and [b] = 1, we can write -

7 x 0 + 8 x 1 = 3

8 ≠ 3

Therefore, the points does not represent the solution to the equation given.

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Answer: x = 4

Step-by-step explanation:

Divide each term in 5x = 20 by 5 and simplify

[tex]\frac{5}{5} x[/tex] = [tex]\frac{20}{5}[/tex]

[tex]x=4[/tex]

Answer:

x=4

Step-by-step explanation:

5x4=20

Answer: 103

Step-by-step explanation:i think

Answer: 140 I think actually

Step-by-step explanation: Because if you use the well comonlmonly used method you would see that MAYBE the equivilancalence is 140, not  130.

When the scale factor of the map is less than 1, then the location will be above the map projection plane

The scale factor is used in the UTM mapping systems.

UTM stands for Universal Transverse Mercator, it is the coordinate grid used for the map projection.

The scale factor is an important part in the UTM mapping. Because it is used to show the distortion from the mapping system. Distortion is because of the Earth is mapped into flat surface.

So we can divide the surface into two, the surface above the mapping projection and the surface below the mapping projection

If the scale factor is less than 1 the location will be above the map projection plane and if the scale factor is greater than 1 the location will be below the map projection plane

Therefore, the scale factor less than 1 shows the location above the projection

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Answer:

PROBALLY, A

Step-by-step explanation:

Not entirely sure but translating up 7 units from 5 would be 3x-12

The formula for profit is:

P = I - E

Where,

Income = I

Expenses = E

Profit = P

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Income = I

Expenses = E

Profit = P

Now,

Profit = Income - Expenses.

P = I - E

Thus,

The formula for profit is:

P = I - E

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The required rate of change for the given equation is 57.

What is the rate of change?

A measure of how one quantity changes in proportion to another is called a rate of change. If x and y are the independent and dependent variables, respectively, then rate of change is equal to y-to-x conversions. Positive or negative change rates are possible.

For the given equation,

Health club charges a one-time sign-up fee and a monthly membership fee

y = 57x +30

So, the rate of change, [tex]\frac{dy}{dx}[/tex] = 57

hence, the required rate of change for the given equation is 57.

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The amount of income tax withheld each week is $350.

In the question ,

it is given that ,

the total gross taxable income every week is = $1166 ,

we know that the percent tax is = 30% ,

and their is no other source of income

So the income tax will be = 30% of total gross taxable income .

Substituting the value of gross taxable income ,

we get ,

income tax = 30% × 1166

= 0.30 × 1166    ...because 30% = 0.30

Simplifying further ,

we get ,

= 349.8

≈ 350

Therefore , amount of income tax withheld is $350 .

The given question is incomplete , the complete question is

You earn $1,166 gross taxable income every week, and have claimed no exemption. Assuming that you have no other source of income, what is the amount of income tax withheld each week ?

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The time take would be 1 hour and 18 minutes

What is Linear Equation in One Variable?

Linear equations are first-order equations. Lines in the coordinate system are determined by linear equations. A linear equation in one variable is defined as an equation with a homogeneous variable of degree 1 (i.e. only one variable).

Solution:

Given: Growth rate of bacteria = (3*I + 2)*t

I is the Initial Number of Bacteria

t is the time in hours

So,

42 = (3*10 + 2)t

42 = 32*t

t = 1.3 hours

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Answer:

x=12

Step-by-step explanation:

_-----------------------

-5x^4 is the 3rd term when 5 3x2 − 5x4 2x3 is arranged in descending order.

Given ,

the 3rd term when 5 3x2 − 5x4 2x3 is arranged in descending order.

It is said to be in descending order if the information is arranged from highest to lowest. Examples of numbers that are organized in descending order include 10, 9, 8, 7, 6, 5, 4, 3, 2, and 1. In other words, the order is said to be declining if the numbers are listed from largest to smallest.

5 3x^2 - 5x^4 2x^3

=> 5x^4 - 5 3x^2 2x^3

=> 5x^4 - 10x^5

=> -5x^4

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Answer:

66

Step-by-step explanation:

[tex]\binom{12}{2}=\frac{12!}{10!21}=\frac{12 \cdot 11}{2}=66[/tex]

The critical ratio (cr) will be less than one if the amount of work left is larger than the amount of time left.

In a work center, the critical ratio is a rule of thumb used to prioritize jobs that need to be processed (CR). The remaining shop time is divided by the equation (due date - today's date), and the result is the CR priority index number. When sequencing according to these criteria, the job with the lowest CR is put on the schedule first. a dispatching rule that generates a priority index number by dividing the amount of time remaining before the deadline by the estimated amount of time required to accomplish the job. Ratios below 1.0 are frequently thought of as being behind schedule, whereas ratios over 1.0 are thought of as being ahead of time. Critical ratio (CR) = CPI x SPI

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The percent of decrease in the number of tokens is 30%.

From the information illustrated, Reggie bought 40 tokens to use at a family fun center. He used some of the tokens to ride go-carts and use the batting cages. He now has 28 tokens left.

The number used will be:

= 40 - 28

= 12

Therefore, the percentage decrease will be:

= Number used / Total tokens × 100

= 12 / 40 × 100

= 30%

The percentage is 30%.

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By means of rigid transformation, the point L' has a y-coordinate equal to 4 / 5.

Herein we find a representation of a line segment on a Cartesian plane, from which we must determine the coordinates of the image of one of its ends (point L' is the image of point L) by means of the following transformation rule, a dilation centered at the origin:

L'(x, y) = k · L(x, y)

Where:

If we know that L(x, y) = (10, 2) and k = 2 / 5, then the coordinates of the  point L' are:

L'(x, y) = (2 / 5) · (10, 2)

L'(x, y) = (4, 4 / 5)

The y-coordinate of point L' is 4 / 5.

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Answer:

1/4

Step-by-step explanation:

[tex]\frac{1}{2} \cdot \frac{1}{2}=\frac{1}{2 \cdot 2}=\frac{1}{4}[/tex]

The ratio of  a: b is = 5:7

Here the ratio is a:b

When the prices are both decreased by £10, the new ratio

= a-10 : b-10

When the prices are both increased by  £5, the new ratio

= a+5 : b+5

By the given conditions,

a-10 : b-10 = 3:5

or, [tex]\frac{a-10}{b-10\\}[/tex] =[tex]\frac{3}{5}[/tex]

or, 5(a-10) = 3(b-10)

or, 5a -50 = 3b-30

or, 5a -3b = 20 .... ...(1)

and a+5 : b+5 =3 : 4

or,[tex]\frac{a+5}{b+5}[/tex] = [tex]\frac{3}{4}[/tex]

or, 4(a+5) = 3(b+5)

or, 4a +20 = 3b+15

or, 4a-3b= -5 .... ...(2)

subtract the equation(2) from equation(1)

   5a -3b - (4a -3b) =20 - (-5)

or, 5a-3b-4a+3b = 20+5

or, 5a-4a = 25

Therefore,  a =25

Putting a=25 in equation (1), we get

 125-3b=20

or, 3b= 105

therefore, b=35

a :b =25:35

       = 5:7

Hence, the ratio of  a: b = 5:7

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The solution of the linear inequation -8 - 4x > 1 is x < [tex]-\frac{9}{4}[/tex]

-10 satisfies the given linear inequation

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by >, <, ≥, ≤

A one degree inequation is known as linear inequation.

The given linear inequation is

-8 - 4x > 1

Now,

-8 - 4x > 1

-4x > 1 + 8

-4x > 9

x < [tex]-\frac{9}{4}[/tex]

-10 satisfies the given linear inequation

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Answer:

Inequality 1: x + y ≤ 1.50

Inequality 2: 4x + 6.5y ≥ 780

So, the possible solution can be x = 20, y = 1.20

(1) The inequalities can be written as:-

Inequality 1: x + y ≤ 1.50

Inequality 2: 4x + 6.5y ≥ 780

(2) The possible solution for the value of x and y can be x = 0.30, y = 1.20.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that Abigail owns a food truck that sells tacos and burritos. She only has enough supplies to make 130 tacos or burritos. She sells each taco for $3 and each burrito for $6. Abigail must sell no less than $600 worth of tacos and burritos each day.

The inequalities can be written as:-

Inequality 1: x + y ≤ 1.50

Inequality 2: 4x + 6.5y ≥ 780

The two inequalities can be solved as:-

x + y = 1.50 or x= 1.50 - y

4x + 6.5y = 780

4( 1.5 - y ) + 6.5y = 780

6 - 4y + 6.5y = 780

y = 1.20

The value of x will be,

x= 1.50 - y

x= 1.50 - 1.2

x = 0.30

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Answer:

3a - 2b = -3

Step-by-step explanation:

= (3) (3) - (6) (2)

= 9 - 12

= -3

Answer:

Step-by-step explanation:

3(3)- (6)2

9-12

-3

Answer:

Step-by-step explanation:

To solve use tangent(63) to solve for x

tan(63)=x/90

Multiple by sides by 90

90tan(63)=x

x=176.6

Answer:

176.6

Step-by-step explanation:

tan(63°) = x/90

1.962 • 90 = 176.58

When I round to the nearest tenth I get 176.6

I hope this helps:)

Answer:

The correct values for points A, B, C, and D on a number line going from negative 2 to positive 2 in increments of 1 are:

A = negative 2

B = negative 3/4

C = negative 1/4

D = 1/4

This can be determined by noting that each mark on the number line represents a distance of 1/4, and by counting the number of marks to the right or left of the given points. For example, point B is 1 mark to the right of negative 2, which means it is located at negative 2 + 1/4 = negative 3/4. Similarly, point C is 1 mark to the left of negative 1, which means it is located at negative 1 - 1/4 = negative 1/4. The other points can be determined in the same way.

Step-by-step explanation:

Answer:

It is A the 1st one

Step-by-step explanation:

A = negative 2, B = negative 1 and three-fourths, C = negative 1 and one-fourth, D = negative one-fourth

A distribution of the means of two independent groups serves as the comparison distribution for an independent-samples t-test.

By using the one-sample t-test formula

If s is the sample standard deviation, n is the sample size, and x is the sample mean, is the population mean.

The between-groups variance measures the variability of the group means, whereas the within-groups variance measures the variability of the individual scores within the groups. This is a key distinction between variance terms for between-groups and within-groups.

By using the formula,

df = (n1 - 1) + (n2 - 1) (n2 - 1)

where the sample sizes for the two groups are n1 and n2.

The mean of the differences between the scores in the two groups can be used to compute the mean of the difference scores for the original data. The mean of the difference scores would be determined as follows, for instance, if the first group has scores of 3, 5, and 7, while the second group has scores of 4, 6, and 8.

[tex]\frac{(3 - 4) + (5 - 6) + (7 - 8)}{3}[/tex]

= [tex]\frac{(-1 + -1 + -1)}{3}[/tex]

= [tex]\frac{- 3}{3}[/tex]

= -1

The name of the statistical test, the sample sizes, the averages and standard deviations of the groups, the estimated t-value and degrees of freedom, and the p-value would all be included in a report of statistical results that follows proper APA format. The research question and hypothesis being examined should be stated clearly in the report, together with a discussion of the findings and their implications.

The standard error of the difference scores for the provided data can be calculated as

SE = [tex]((\frac{s12}{n1}) + (\frac{s22}{n2}))[/tex]

where n1 and n2 are the sample sizes, s1 and s2 are the standard deviations of the two groups, and

Calculating the t-value and comparing it to the critical value of t from the appropriate degrees of freedom in the t-distribution is the fifth step in performing a single-sample t-test. The null hypothesis can be rejected if the estimated t-value is greater than the critical value since it shows that the observed differences between the sample and the population are statistically significant.

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The scores needed in order to score in the highest 5% of the GMAT are given as follows:

At least 711.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation of GMAT scores are given as follows:

µ = 527, σ = 112.

The highest 5% of scores are composed by scores of the 95th percentile and above, hence the minimum score is X when Z = 1.645.

Then:

1.645 = (X - 527)/112

X - 527 = 1.645 x 112

X = 711.

The mean and the standard deviation of scores are given as follows:

µ = 527, σ = 112.

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Answer:

Step-by-step explanation: No f(x) is not an inverse of g(x)