Addy bough 4 frozen pizzas for the same price each. Her total cost was $12. What was the cost of each pizza.
x + 4 = 12

Answer:

Must understand distance and slope formula first:

slope y_2-y_1/x_2-x_1

distance d=√((x_2-x_1)²+(y_2-y_1)²)

(Just search up the formulas if this isn't clear)

Step-by-step explanation:

For #13 take two points and put them in the distance formula remember (#,#) the first # is 'x' the second # is the 'y' in a point.

then you could simply type all that in a calculator and a single number should pop up indicating one of the lines (doesn't matter the #) then do the same for the second points (cuz you used two already you have two left) If the number is same as the first two points it's a pallelagram. (I tested it out got 7.07...)

For the slope you're doing something similar to the distance formula, you're filling out two sets of points into the slope formula if they come out the same # it's parallel.

The length the line segment DF is 21 units

What is Similarity of Triangles?

Two objects are comparable in Euclidean geometry if they have the same form or one has the same shape as the mirror image of the other. More exactly, one can be created by evenly scaling the other, potentially with extra translation, rotation, and reflection.

Since, the question is incomplete I can only assume that the traingles are similar

So, by rule of similarity we can say that ED/BA = DF/AC

by this 15/5 = DF/7

This implies that the length of DF is 21 units

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By using normal distribution, we get probability of gains between 0kg to 3kg is 0.2547

What is normal distribution?

A probability distribution known as a "normal distribution" is symmetric about the mean and indicates that data that are close to the mean are more likely to occur than data that are far from the mean.

Given that:

μ= 1.4

σ=4.6

We know the formula of normal distribution is z = (x-μ)/σ

\(P(0 < x < 3)=P(x < 3)-P(x < 0)\)

For \(P(x < 3)\)

\(z=\frac{3-1.4}{4.6} \\z=0.35\)

By using the z-table \(P(x < 3)=0.6368\)

For \(P(x < 0)\)

\(z=\frac{0-1.4}{4.6}\\z=-0.30\)

By using the z-table \(P(x < 0)=0.3821\)

Substituting \(P(x < 3)\) and \(P(x < 0)\) in \(P(0 < x < 3)\)

we get,

\(P(0 < x < 3)=0.6368-0.3821\\P(0 < x < 3)=0.2547\)

Therefore, by using normal distribution, we get probability of gains between 0kg to 3kg is 0.2547

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The number of years she had her investment is after 3 years

From the question, the given parameters are:

The number of years (T) is calculated from the following simple interest formula

I = PRT

Substitute the given parameters in the above equation

20.64 = 400 * 1.72% * t

Express 1.72% as decimal without percentage

20.64 = 400 * 0.0172 * t

Evaluate the product

20.64 = 6.88 * t

Divide both sides by 6.88

20.64/6.88 = 6.88/6.88 * t

Evaluate the quotient

3 = t

Rewrite the equation as

t = 3

This means that she had her investment after 3 years

Hence, the number of years she had her investment is after 3 years

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Answer:

I am not sure if you're accustomed to using a z-score and table of probabilities or technology, so I will answer using both!

a) Since you're choosing one person from the population, you will use the mean and standard deviation from the population.  z= (210.9-197.5)/8.6 = 1.56 Using a table of normal probabilities,

P(x>210.9)= 1-P(z<1.56)= 1- 0.9406=0.0594

Using technology: normalcdf(210.9, 1E99, 197.5, 8.6)=0.0596

b) Since you're calculating the population for a sample to occur, you need to get a mean of the sampling distribution and standard deviation of the sampling distribution.

Meanpop=Meansampling dist.=197.5

St. Devsampling dist.= Stdpopulation/√n = 8.6/√15 = 2.22

Using technology, P(X>196.20)= normalcdf( 196.20, 1E99, 197.5, 2.22) = 0.7209

c) You only have to worry about the sample size in a sampling distribution if you either do not know the shape of the distribution of the population or if the distribution of the population is not normally distributed. Since this population is normally distributed (as stated in the given information), then your sample size does not have to be greater than 30.

Step-by-step explanation:

The volume of the cube shown can be found to be 132. 65 inch ³ .

To ascertain the volume of a cube , knowledge of one edge's length is mandatory . This side would correspond to all other sides; therefore , multiplying it by three inversely gauges its complete space as a cubic structure.

The formula for the volume of a cube is:

= Side x Side x Side

The side is 5. 1 inch so the volume is:

= 5. 1 x 5 .1  x 5. 1

= 132. 65 inch ³

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The value of 6315 ×41 is 260391.

Multiplication is a method of finding the product of two or more numbers

We have to find the product of 6315 times of forty one

 6351

×     41

_______

    6351

25404+

__________

260391

Hence, the value of 6315 ×41 is 260391.

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Answer:

(2) 12√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

g(x) = 4√x

g(45) is x = 45 for function g(x)

Step 2: Evaluate

The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

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Answer:

Its the 2nd option

Step-by-step explanation:

i took the quiz

The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

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Answer:

68.18%

Step-by-step explanation:

325+50=375

375-220=155

155÷220×100%

≈68.18%

1) y = -3x and y = -3x + 2: inconsistent system of equations.

2) y = x - 5 and -2x + 2y = - 10: consistent and independent.

3) 2x - 5y = 10 and 3x + y = 15 : consistent and independent.

The given equation are:

The graph for each system of equations is plotted.

1) y = -3x and y = -3x + 2

From the graph 1 it is shown that the lines for the each equation form the parallel lines.

Thus, system of equations are inconsistent.

2) y = x - 5 and -2x + 2y = - 10

From the graph 2 it is shown that the lines for the each equation form the coincident lines.

Thus, system of equations are consistent and independent.

3) 2x - 5y = 10 and 3x + y = 15

From the graph 2 it is shown that the lines for the each equation form the coincident lines.

Thus, system of equations are consistent and independent.

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Answer:

\(\frac{4}{5}\)

0.8

Step-by-step explanation:

Happy to help:)

The measure of angle O is 56 and the value of m and n are 8.1 in and 14.5 in respectively.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The longest side is hypotenuse and it is the side facing the right angle. The other two sides are opposite and adjascent.

sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan,(tetha) = opp/adj

angle O = 180-(90+34)

= 180- 124

= 56°

To find m,

Tan 34 = m/12

m = Tan34 × 12

m = 8.1 in

using Pythagoras theorem to find n,

n= √8.1²+12²

n = √65.61+144

n = √209.61

= 14.5 in

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The percent that is represented by the shaded squares in this 20-square grid is 90%.

From the information, it was illustrated that the bar diagram has 18 shaded squares and 2 unshaded squares. In this case, the total value of the square will be:

= Shaded part + Unshaded part.

= 18 + 2

= 20

Therefore, the percentage for shaded part will be:

= Shaded part / Total part × 100

= 18/20 × 100

= 90%

The percentage is 90%.

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Complete question

What percent is represented by the shaded squares in this 20-square grid?

A bar diagram with 18 shaded squares and 2 unshaded squares.

%

Answer:

The correct answer to your question .....What percent is represented by this 20-square grid?

Is BELOW

Step-by-step explanation:

What percent is represented by this 20-square grid?

A bar diagram with 18 shaded squares and 2 unshaded squares.

% is 90%

Have great day/week.

The value of the product of the number as given in the task content is; Choice B; 1.

It follows from the task content that the numbers whose product are to be determined are; ¾ and 1⅓.

To effectively multiply, we must convert the mixed number to a fraction as follows;

1⅓ = 4/3.

Hence, the product is; 4/3 × 3/4 = 12/12 = 1.

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Answer:

g=-3

Step-by-step explanation:

-8g+6=30

-6

-8g=24/-8

Answer:

g = -3

Step-by-step explanation:

The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

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Answer:

D

Step-by-step explanation:

The mean, median, and mode all are 3

The amount of Duane's first payment that goes to interest is approximately $26.47.

To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.

The formula to calculate the interest portion of a loan payment is:

Interest = Remaining Balance * Monthly Interest Rate.

Let's calculate the interest for the first payment using the given information:

Loan Amount = $5,000.00

Monthly Payment = $118.57

First, we need to calculate the monthly interest rate:

Monthly Interest Rate = Annual Interest Rate / 12

= 6.5% / 12

= 0.00542

Next, we need to calculate the remaining balance after the first payment:

Remaining Balance = Loan Amount - Principal Paid

= $5,000.00 - $118.57

= $4,881.43

Finally, we can calculate the interest portion of the first payment:

Interest = Remaining Balance * Monthly Interest Rate

= $4,881.43 * 0.00542

= $26.47

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The difference between ANOVA and Z-test Hypothesis is the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

The Z-test becomes possible in  the comparison of the mean of a sample to that of the population. It evaluates if there is statistical relevance in the difference between the mean of a sample and the mean of the whole population

In contrast, ANOVA is employed to contrast the averages of three or more separate groups. This assesses if there is a noteworthy distinction in the averages of said groups. The F-statistic in ANOVA is computed by assessing the disparity in variability between groups and the variability within groups.

In a nutshell, the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

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Answer:

m = 25 + 6n

Step-by-step explanation:

To write a function for the amount of money Makayla spent going to the movies during the club, you need to consider two things: the annual registration fee and the discounted ticket price. The annual registration fee is a fixed amount that does not depend on the number of movie tickets Makayla purchases. The discounted ticket price is a variable amount that depends on the number of movie tickets Makayla purchases. You can use a letter, such as n, to represent the number of movie tickets Makayla purchases. Then, you can write an expression for the amount of money Makayla spent on movie tickets, which is 6 times n, or 6n. To find the total amount of money Makayla spent going to the movies during the club, you need to add the annual registration fee and the amount of money spent on movie tickets. This gives you the expression 25 + 6n. You can use another letter, such as m, to represent the total amount of money Makayla spent going to the movies during the club. Then, you can write an equation that relates m and n, which is m = 25 + 6n. This equation is a function that models the amount of money Makayla spent going to the movies during the club as a function of the number of movie tickets she purchased.

This means that the football’s height when it was kicked 41 yards away was -1.762 yards.

A yard is a unit of length measurement in the imperial and US customary systems of measurement. It is equal to 3 feet or 36 inches.

The equation given is a parabolic equation which models the path of the football. It is a quadratic equation in the form of y = ax² + bx + c, where a, b, and c are coefficients that determine the shape of the path. The coefficient a represents the rate of change in the football’s height as it moves away from the punter. In this equation, a is -0.035, which indicates that the football’s height decreases as it moves away from the punter. The coefficient b indicates the rate of change in the football’s height as it moves back toward the punter, and in this equation, b is 1.4, which means that the football’s height increases as it moves back towards the punter. Finally, the coefficient c is 1, which indicates the height of the football when it is kicked.

In this case, the football was kicked 41 yards, so plugging x = 41 into the equation gives us y = -0.035(41²) + 1.4(41) + 1 = -1.762.

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Answer:

He took 28min eat.

Step-by-step explanation:

Given:

\(\dfrac{dr}{dt}=1.4\text{ in/s}\)

\(\dfrac{dh}{dt}=-2.1\text{ in/s}\)

To find:

The rate of change in volume at \(r=120\text{ in. and }175\text{ in.}\)

Solution:

We know that, volume of a cone is

\(V=\dfrac{1}{3}\pi r^2h\)

Differentiate with respect to t.

\(\dfrac{dV}{dt}=\dfrac{1}{3}\pi\times \left[(r^2\dfrac{dh}{dt}) + h(2r\dfrac{dr}{dt})\right]\)

Substitute the given values.

\(\dfrac{dV}{dt}=\dfrac{1}{3}\times \dfrac{22}{7}\times \left[(120)^2(-2.1) +175(2)(120)(1.4)\right]\)

\(\dfrac{dV}{dt}=\dfrac{22}{21}\times \left[-30240+58800\right]\)

\(\dfrac{dV}{dt}=\dfrac{22}{21}\times 28560\)

\(\dfrac{dV}{dt}=29920\)

Therefore, the volume of decreased by 29920 cubic inches per second.

Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

7 min = 23 pages

To find out the amount of time the color printers to print one page we need to do 7/23 min.

Answer: 7/23

is there a pic to it? put the pic then i can answer

Answer:

You forgt to add picture

Step-by-step explanation: