Funky Fro-Yo
The school jazz band is playing at Sweet Yo's, a frozen yogurt shop. It costs $5 to get in
the door for the event and if you'd like to eat fro-yo to eat while listening to their tunes
you can fill your cup with yogurt and toppings for $0.40 per ounce.


1. Write an equation that gives the total cost in dollars, d, of attending the event if you
order z ounces of fro-yo.
2. If your cup weighs 14 ounces, how much would you pay in total for the evening?

Answer:

A

Step-by-step explanation:

w = 12500p + 250

250 is a fixed number of words.

12500 is the slope

For each dollar the price increases, the number of words increases by 12,500.

Answer: A

If it takes a printer seconds to print a single lyer, and it took 75 seconds to print a batch of lyers without stopping, the number of lyers in the batch is 75 / . This is because if it takes seconds to print a lyer, and we have 75 seconds available to print lyers, we can divide the total time available by the time it takes to print each lyer to find out how many lyers we can print.

For example, if it takes 3 seconds to print a single lyer, the number of lyers in the batch is 75 / 3 = 25. If it takes 2 seconds to print a single lyer, the number of lyers in the batch is 75 / 2 = 37.5.

Therefore, the number of lyers in the batch depends on the time it takes to print a single lyer. To find the exact number of lyers in the batch, we need to know the time it takes to print a single lyer.

The height of the desk for the doll according to conversion scale given is 1.5in.

Based on the information provided, the height of Katelyn’s actual desk is 3 feet. She wants to build a desk for her doll and she wants to use a scale of 0.5 in: 1feet to convert the measurements. A conversion scale refers to a scale which indicates the relationship between two different units of measurement.

According to the given conversion scale,

1 feet = 0.5in

If the height is 3 feet, the measurement in inches would be:

3 feet = 3 feet * 0.5 in/ 1 feet = 1.5 in

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The time required to pay off the loan at 4.5% interest rate 0.75 years.

The equation of simple interest will be used for calculation of time. The formula will be -

S. I. = Principal × Rate × Time/100

Keep the values in formula to find the value of time -

54 = 1600 × 4.5 × time/100

Rewriting the equation -

Time = (54 × 100)/(1600 × 4.5)

Performing multiplication on Right Hand Side of the equation

Time = 5400/7200

Performing division on Right Hand Side of the equation

Time = 0.75 years

I will need to take 0.75 years time to pay off the loan.

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Answer:

y = 3x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (- 2, - 2) ← 2 points on the line

m = [tex]\frac{-2-4}{-2-0}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3

the line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = 3x + 4 ← equation of line

Answer:

y=3x+4

Step-by-step explanation:

The formula used is point slope, or y=mx+b

here, the m is the slope, and the b is the y-intercept

The y-intercept is where the graph crosses the y-axis, also known as when x=0

In this case, the y intercept is at the point (0,4) so you'd plug in 4 for the 'b' in the equation

To find the slope, use the rise over the run of the graph.

To do this, pick two points along the graph, and count how many units up/down, and to the left/right between the two points

The units up/down goes on top, being positive if they're up, and negative if they're down

The units left/right go on bottom, being positive if they're right, and negative if they're left

In this case you go 3 units up, and 1 unit right, so the slope would be 3/1 or 3

Answer: The total volume of all the tanks at the aquarium after the new dolphin tank is installed will be 1.25x10^6 gallons + 250,000 gallons = 1.5x10^6 gallons.

This is the equivalent of 1,500,000 gallons.

Step-by-step explanation:

After solving the percentage the distance through which Nakeiha fell asleep along the trip is 72miles.

Percentage is a number expressed as a fraction of 100. The % sign means to divide the number by 100.

To solve this question, we will do 18% x 400.

= (18/100) x 400

= 72 miles

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Answer: a is about 7.416, rounding to two significant digits, 7.4, to one significant digit, 7.

Step-by-step explanation:

We will use the Pythagorean Theorem.

a²+b²=c²

c² is the longest side, so 8cm.

lets make the bottom side b², so 3cm

We are trying to find h, so let's make that a².

Applying the Theorem:

a²+3²=8²

--- a² + 9 = 64

subtract 9 from both sides.

-- a² = 55

Take the square root of both sides

a is about 7.416, rounding to two significant digits, 7.4, to one significant digit, 7.

Answer:

22.249 cm^2 (THIS IS ROUNDED)

Step-by-step explanation:

to find the area we first need to find h using Pythagorean theorem

a^2+b^2=c^2

We need to isolate a^2 on one side

a^2+b^2=c^2

     -b^2.   -b^2

a^2=c^2-b^2

a^2=8^2-3^2

a^2=64-9

a^2=55

√.      √

a=7.416

Now we multiply by 3 to find the area

7.416x3

About 22.249 cm^2

Hopes this helps

The volume and the surface area of the regular octogonal prism are given as follows:

The volume of the prism is given by the multiplication of the base area of the prism by the height of the prism.

The base is a regular octagon of side length 2 inches, hence it's area is given as follows:

[tex]A = 2a^2(1 + \sqrt{2})[/tex]

Hence, considering that a = 2, the base area is given as follows:

[tex]A = 8(1 + \sqrt{2})[/tex]

The height is of 7 inches, hence the volume, in cubic inches, is given as follows:

[tex]V = 7 \times 8(1 + \sqrt{2}) = 56(1 + \sqrt{2})[/tex]

The prism is composed by:

Hence the surface area of the prism, in square inches, is calculated as follows:

[tex]S = 2 \times 8(1 + \sqrt{2}) + 8 \times 2 \times 7[/tex]

[tex]S = 128 + 8\sqrt{2}[/tex]

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What the slope and the y-intercepts represent are;

Slope means that the rate at which the number of miles people in the U.S. traveled per year increased was 0.048

y-intercept means that the number of vehicle-miles traveled in 1975 is; 1.345 (in trillions)

A reasonable prediction for the number of miles people in the U.S. will travel in 2022 is; 3.601 (in trillions)

The equation for the line of best fit is given as;

y = 0.048x + 1.345

where;

x is the number of years since 1975

y is the number of vehicle-miles traveled in trillions

The equation of a line in slope intercept form has the general form as;

y = mx + c

where;

m is slope

c is y-intercept

Thus;

Slope = 0.048 which is the rate at which the number of miles people in the U.S. traveled per year increases.

y-intercept = 1.345 (in trillions) which is the number of vehicle-miles traveled in 1975

The year 2022 will be 47 years since 1975 and so the prediction is;

y = 0.048(47) + 1.345

y = 3.601 (in trillions)

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The vertex form of a quadratic equation is a standard form of a quadratic equation that is written in the form:

y = a(x-h)^2 + k

where a, h, and k are constants. This form is called the vertex form because it represents the graph of the quadratic equation as a parabola, with the vertex of the parabola located at the point (h,k).

The vertex form of a quadratic equation is useful because it allows us to easily identify the vertex of the parabola and the direction in which the parabola opens. If a is positive, the parabola opens upwards and the vertex is the minimum point of the parabola. If a is negative, the parabola opens downwards and the vertex is the maximum point of the parabola.

Overall, the vertex form of a quadratic equation is a standard form that represents the graph of a quadratic equation as a parabola with a specific vertex location. It is useful for identifying the characteristics of the graph and for solving problems involving quadratic equations.

The value that Helen wants to use is Pi = C/D. The lower bound value is 3.065, and the upper bound for Helen's value is 3.165.

What is circumference?

The circumference is the perimeter of the circle.

Given, the circumference, C, at 405 mm to three significant numbers.

She correctly estimates the diameter, d, to be 130 mm to two significant numbers.

Helen wants to find the value of Pi using the formula pi=C/D

We have, the circumference of the circle = C = 405 mm

The diameter of the circle = d = 130 mm

Pi = C/D

= 405 mm / 130 mm

= 405 / 130

= 3.115

3.115, measured to the nearest 0.1.

The degree of accuracy is nearest 0.1.

0.1/2 = 0.05

Upper bound = 3.115 + 0.05 = 3.165

Lower bound = 3.115 - 0.05 = 3.065

Therefore, the lower bound and upper bound for Helen's value are 3.165, and 3.065.

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The unit rate of cup of powered mix per gallon for each person by

Maria: 3 cups

Franco: 1/3 cups

Rate of powdered mix = number of cups ÷ number of gallons of water

Keep the values in formula to find the unit rate of cup of powdered mix

Rate of powdered mix by Maria = (3/4)÷3

Rate of powdered mix by Maria = 3/(4×3)

Cancelling 3 as it is common

Rate of powdered mix by Maria = 3 cups per gallon

Firstly converting the amount of cups from mixed fraction to fraction

Amount of cups = 1 [tex] \frac{2}{3} [/tex]

Amount of cups = 5/3 cups

Rate of powdered mix by Franco = (5/3)÷5

Rate of powdered mix by Franco = 5/(5×3)

Cancelling 5 as it is common

Rate of powdered mix by Franco = 1/3 cups per gallon

Thus, Maria's powdered mix is 3 cups per gallon while Franco's powdered mix is 1/3 cups per gallon.

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Step-by-step explanation:

come on, use some common sense.

length to breadth = 3/2.

so, when the breadth is 24, what is the factor compared to the original 2 of 3/2 ? 12.

2 × 12 = 24 cm

and then, we need to multiply the other ratio part by the sand factor

3 × 12 = 36 cm

when the length = 60 cm, then the factor compared to the original 3 of 3/2 is 20.

3 × 20 = 60 cm

and multiplying the other ratio part by the same factor

2 × 20 = 40 cm

when the breadth is 52, the factor compared to the original 2 of 3/2 is 26.

2 × 26 = 52 cm

and multiplying the other ratio part by the same factor

3 × 26 = 78 cm

Answer:

y = –5x/4 + 7

Step-by-step explanation:

x1 = 8 ,x2 = 4, y1 = –3 , y2 = 2

lets find the slope(m)

m = y2–y1/x2–x1

m = 2 – (–3)/ 4 – 8

m = 5/ –4

m= –5/4

to find the equation of a line using this as our guider y = mx + b

we will make use of one coordinate

(8,–3)

using the formula for one point

y – y1 = m(x – x1)

y – (–3) = –5/4(x – 8)

y + 3 = –5x/4 + 10

y = –5x/4 + 10 –3

y = –5x/4 + 7

i hope i helped pls rate the answer as brainliest if i deserve it

thanks

The original cardboard measures 25 cm by 40 cm. By cutting out a 10 cm by 10 cm corner square, the new measurement of the cardboard will be 15 cm by 30 cm. The volume of the container will be 4500 cm^3.

The goal of this project is to build a container out of a rectangular piece of cardboard measuring 25 cm by 40 cm. To do this, a square must be cut out of each corner of the cardboard and the sides must then be bent up. In order to produce a container with the most internal volume, the corner square should be 10 cm by 10 cm. This will result in four equal sides and a larger internal volume. The larger internal volume will allow the container to hold more material, thus making it more efficient for the project.

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Option D is the correct answer. if the residuals from a fitted regression violate the assumption of homoscedasticity their variance is not constant.

Homoscedasticity: It is an assumption of equal or similar variances in different groups are being compared. It is a condition in which the variance of the residual, or error term, in a regression model, is constant.

This is one of the most important assumptions of parametric statistical tests because they are sensitive to any dissimilarities. It is valid when X and Y are independent.

To deal with this First, we have attempted to transform your target using square root, log, reciprocal square root, or reciprocal transformations.

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Answer:

Given:

A figure of a triangle.

To find:

The values of x and y.

Solution:

From the given triangle it is clear that the base angles of the triangle are equal, so the triangle is an isosceles triangle.

Altitude on the base of the isosceles triangle from from the opposite angle is a median. It means, it divides the base in two equal parts.

In the given triangle, the altitude divides the base in two equal parts and the measure of each part is 9 units.

Step-by-step explanation:

Answer:

B) x = 9; y = 9√3

Step-by-step explanation:

x = 9 = ( 9 )

y = 9√3 = ( 15.588 )

Hope this helps!

Answer:

Step-by-step explanation:

iven, the equation is (x - 1)² + 2(x + 1) = 0. We have to determine if the equation has a real root. By using algebraic identity, (a - b)² = a² - 2ab + b² (x - 1)² = x² - 2x + 1.

Answer:

Step-by-step explanation: Step 1: Tyler correctly states that rhombuses have all sides congruent.

Step 2: Tyler correctly states that dilating a rhombus by a scale factor will result in sides of the same length, but he does not provide a justification for why he chose the scale factor of WX/AB.

Step 3: Tyler correctly states that if all sides in two figures are proportional, then the figures are similar, but he does not provide a justification for why this is true.

Step 4: Tyler correctly states that he will translate A'B'C'D' by the directed line segment A'W, but he does not provide a justification for why this will result in A'' and W coinciding.

Step 5: Tyler correctly states that he will rotate A"B"C"D" by the angle B"WX, but he does not provide a justification for why this will result in B'' and X coinciding.

Step 6: Tyler correctly states that he will reflect A"B''C''D'' over segment WX if needed, but he does not provide a justification for why this will result in D'' and Z coinciding.

Answer:

=£5898.38

Step-by-step explanation:

5000×1.07×1.05^(2)

=£5898.38

Answer:

Common Difference is positive

Step-by-step explanation:

If the common difference is negative, the value is decreasing every time the term increases.

If the common difference is positive, the value is increasing every time the term increases.

Because, in this case,  when the term increases, the value increases, the common difference is positive.

Answer:

Step-by-step explanation:

3

The set of all possible y-x values is between 3 and 6, excluding both endpoints.

===================================================

Explanation:

The y-x value is smallest when:

I recommend to draw out a number line. The idea is to place x and y as close as possible to each other.

Based on those two conditions, we use y = 10 and x = 7 respectively. That gives y-x = 10-7 = 3 as the smallest possible difference. Keep in mind we can't actually reach this value so we would write y-x > 3 which is the same as 3 < y-x.

--------------------

Similarly, y-x is largest when:

Like earlier, use a number line to see why this would be the case. We're trying to space x and y out as far as possible.

The largest y value and smallest x value are y = 12 and x = 6 in that order. So the upper bound is y-x = 12-6 = 6. Like before, we can't actually reach this number which means we write y-x < 6.

--------------------

Recap:

Put those two results together in a tidy compound inequality to get the final answer    3 < y-x < 6

It says: The expression y-x is between 3 and 6, excluding both endpoints.

Answer: The circumference itself can be considered a full circle arc length. Arc Measure: In a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc. Arc Length: In a circle, the length of an arc is a portion of the circumference.

An arc length is a portion of the circumference of a circle. You can use the measure of the arc (in degrees) to find its length (in linear units). In a circle, the ratio of the length of a given arc of the circumference is equal to the ratio of the measure of the arc to 360°.

It will help you.

Step-by-step explanation:

The multiple regression model is a model with single dependent variables and multiple independent variables.

The term regression referred as a statistical method that helps us to analyze and understand the relationship between two or more variables of interest.

Here we have to find the missing term in the statement "the multiple regression/correlation model is a model with"

In order to find the solution, we must know the definition of multiple regression model.

Multiple Regression model in statistics is defined as the is a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

Based on these definition, we have identified that it has single dependent variable and multiple independent variable.

Therefore, option (c) is correct.

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Answer:

£54

Step-by-step explanation:

Write 45% as

45

100

Since finding the fraction of a number is the same as multiplying the fraction with the number, we have

45

100

of 120 =

45

100

× 120

Therefore, the answer is 54

If you are using a calculator, simply enter 45÷100×120 which will give you 54 as the answer.

Using the table of Z-normal distribution and with the value of mean, standard deviation and the 12% who wait the shortest, The answer is

173.80 days.

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions. The probability distribution of X is defined as the function f(x) p(x)= P(X=x) for any x falling within the range of X. The probability mass function for the discrete random variable X is another name for it.

A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution, or z-distribution. By transforming the values of any normal distribution into z scores, it is possible to standardize it. Z scores provide the number of standard deviations from the mean that each value falls within.

[tex]P(x < Z) = 0.12\\Z = -1.175[/tex](From Z-normal table)

[tex]\frac{x-204}{25.7} = -1.175\\x= -1.175*25.7 +204\\x=173.80\\[/tex]

Days = 173.80 days .

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Answer:

£90

Step-by-step explanation:

1 friend = £30

all together there are 3 friends

30 x 3 = 90

or you can simplify and do 3x3 which is 9

and add the 0 at end (90)

each person = 30($)

people = 3

cost($) * number of people

[tex]30\times3[/tex]

[tex]=\fbox{90}[/tex]