Peyton owns a small business selling used books. She knows that in the last week 19
customers paid cash, 25 customers used a debit card, and 24 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with a
debit card or a credit card as a decimal to the nearest hundredth.

Answer:b

Step-by-step explanation:

just took the quiz

10 times by the little nuber then times by 6.0

do that for them all

A set of simultaneous equations is often known as a system of equations or an equation system. The solution of the system of equations is (1.894,2.791).

A set of simultaneous equations, often known as a system of equations or an equation system, is a finite collection of equations for which common solutions are sought.

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

The solution of the two of the given function will be when the graph of the two the function will intersect with each other.

Using the graph the solutions are (1.894,2.791).

Hence, the solution of the system of equations is (1.894,2.791).

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Answer:

x=42

Step-by-step explanation:

x/6+21=28

28-21=x/6

7=x/6

x=7*6

x=42

Answer:

42

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

31 years

Step-by-step explanation:

65000*(1.07) ^31 is around $529000

however, 65000*(1.07) ^30 is around $491000

so you would need 31 years to gain more than $500,000.

It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.

We need to find the value of x, which represents the number of years.

Setting y = $500,000, we can solve for x:

500,000 = 65,000(1.07)ˣ

500,000/65,000 = (1.07)ˣ

100/13 = (1.07)ˣ

To solve for x, we take the logarithm of both sides:

ln 100/13 = ln (1.07)ˣ

ln 100/13 = x ln (1.07)

x = (ln 100/13)/(ln (1.07))

x = 30

Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

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Unit rate of students per tent = Total number of students / Number of tents for students
= 36 / 12
= 3

Therefore, the answer is B) 3 students per tent.

A) There were 5 teachers, and each teacher had 2 tents, so there were 5 x 2 = 10 tents for the teachers. In total, there were 36 students + 5 teachers = 41 people on the trip. Therefore, there were 12 tents for the students + 10 tents for the teachers = 22 tents in total.

So, the answer is A) 2 tents, 5 teachers.

B) To find the unit rate of students per tent, we need to divide the total number of students by the number of tents for the students.

The total number of students is 36, and the number of tents for the students is 12, so:

Unit rate of students per tent = Total number of students / Number of tents for students
= 36 / 12
= 3

Therefore, the answer is B) 3 students per tent.

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Answer:

x = 11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

7x = 4x + 33

3x = 33 Bring the x's to one side.

x = 11

A) 38% of 124 is 46.32 (as a decimal)

B) 138% of 124 is 171.12 (as a decimal)

What is the decimal form?

The decimal form of a number is a way of expressing that number as a decimal (base 10) number. A decimal number is made up of a whole number part and a fractional part, separated by a decimal point.

A) To work out 38% of 124, we can use the following formula:

(percentage/100) * value = result

So, in this case:

(38/100) * 124 = 0.38 * 124 = 46.32

So, 38% of 124 is 46.32 (as a decimal)

B) To work out 138% of 124, we can use the same formula:

(138/100) * 124 = 1.38 * 124 = 171.12

So, 138% of 124 is 171.12 (as a decimal)

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We need to know about test statistic to solve the problem. The formula we will need to calculate test statistic is  (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

Test statistic is a number calculated by a statistical test. It describes how far the observed data is from the null hypothesis of no relationship between variables or no difference among sample groups. The test statistic can be calculated using the sample mean, the population mean and population standard deviation.

test statistic= (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

Therefore the formula to calculate the test statistic will be (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

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The final sale price (in $) after the following series of price changes in each case will be $65.85 and $90.74.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The discount cost of a bird enclosure is $55. The first markup was 46% in view of the selling cost.

The final price in each case will be given as,

⇒ $55 x (1 + 0.46) x (1 - 0.18)

⇒ $55 x 1.46 x 0.82

⇒ $65.85

⇒ $55 x (1 + 0.46) x (1 + 0.13)

⇒ $55 x 1.46 x 1.13

⇒ $90.74

The final sale price (in $) after the following series of price changes in each case will be $65.85 and $90.74.

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The equation of the parabola is:

y = 3/5 (x² -2x -8)    

We can use the factored form of the equation of a parabola below:

y = a(x - x₁)(x - x₂)

where x₁ and x₂ are the x-intercepts

x₁ = -2 and x₂ = 4

Point (2, 7): x = -1, y = -3

Substituting:

y = a(x - (-2))(x - 4)

y = a(x + 2)(x - 4)

Substituting x and y:

-3 = a(-1 + 2))(-1 - 4)

-3 = a(1 )(-5)

-3 = -5a

a = 3/5

Substituting a = 0.6 into y = a(x + 2)(x - 4):

y = 3/5(x + 2)(x - 4)

In expanded form:

y = 3/5 (x² -2x -8)    

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Answer:

-32

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

In Solving This You will Need To;

*First You Open The Bracket Which is

6×(2-8)+4

6×2-8+4

*So after this you will multiply the 6 by the 2 which is going to be;

12-8+4

*So after you have multiplied 6 by 2 you can choose to subtract the 8 from the 12 or you can also choose to add the -8+4 either way you choose you're going to arrive at the same answer. So I choose to subtract 8 from the 12 so it's going to be;

4+4

Then you add the four plus 4 so the final answer will be 8

(If I chose to add the -8+4 it would have been -4 so 12-4 would have also given me 8 so any step is acceptable)

The density is 1.7 x 10^-27 kg/m^3.

The density of a proton can be determined by calculating its mass and volume. Given the volume of a sphere, the density of a proton can be expressed to two significant figures.

To determine the density of a proton, we need to calculate its mass and volume. The mass of a proton is approximately 1.67 x 10^-27 kilograms. The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius. Since a proton is considered a point particle, it does not have a defined radius. Therefore, we assume the radius to be extremely small, close to zero. Substituting this value into the volume equation, we get V = (4/3)π(0)^3 = 0. However, the mass of the proton remains unchanged. Thus, the density of a proton is approximately 1.67 x 10^-27 kilograms per cubic meter. Rounded to two significant figures, the density is 1.7 x 10^-27 kg/m^3.

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Hey there!

-15z + 7(8 + 4z)

DISTRIBUTE 7 WITHIN the PARENTHESES

= -15z + 7(8) + 7(4z)

= -15z + 56 + 28z

COMBINE the LIKE TERMS

= (-15z + 28z) + (56)

(WE LEFT 56 ALONE BECAUSE IT DOES NOT HAVE ANY LIKE TERMS!)

= 56 + 13z

= 13z + 56

Therefore, your answer is: 13z + 56

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The square root and quadratic function share a y-intercept.

The range of the square root and absolute value function are the same.

Y-intercepts are the same when the curves meet the y-axis at the same point. That is true of the root and quadratic functions.

X-intercepts are the same when the curves meet the x-axis at the same point. None of these functions share an x-intercept.

The ranges of the functions are the same when they have the same vertical extent. The range of the quadratic is different from the range of the other two functions.

The absolute value and root functions have the same minimum (lower end of their range). That is the same as the maximum of the quadratic function.

Hence,

The statements that match the graphs are -

The square root and quadratic function share a y-intercept.

The range of the square root and absolute value function are the same.

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The dimensions of the garden are 12.5 feet by 30.5 feet.

To model this situation, we can use two equations. Let the width of the rectangular garden be w feet and the length be l feet.

Then:We know that the perimeter of the garden is 90 feet because the amount of fencing used was 90 feet.Perimeter = sum of all sides2(l + w) = 90Divide both sides by 22(l + w)/2 = 45l + w = 45Now,

we also know that the length of the fence, 1, was 5 feet less than 3 times the width,

w.l = 3w - 5Substitute this equation for l in the first equation:3w - 5 + w = 45Simplify:4w - 5 = 45

Add 5 to both sides :4w = 50Divide both sides by 4:w = 12.5

Now that we know the width of the garden is 12.5 feet, we can use the equation for l to find the length:l = 3w - 5l = 3(12.5) - 5l = 30.5

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Answer:

BA ≅ DA

Step-by-step explanation:

∠BAC = ∠DAC                           Given  

AC = AC                                     Reflexive

At this point you have a side and an angle

if BA ≅DA   then SAS

Answer:

Step-by-step explanation:

Use the formula of distance between the two points \((x_1,y_1)\) and \((x_2,y_2)\),

Distance = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

1. Distance between A(3, 4) and B(8, 12),

  AB = \(\sqrt{(8-3)^2+(12-4)^2}\)

  AB = \(\sqrt{25+64}\)

        = \(\sqrt{89}\)

        ≈ 9.43

2. Distance between C(-2, 10) and D(3, -2),

   CD = \(\sqrt{(3+2)^2+(-2-10)^2}\)

         = \(\sqrt{25+144}\)

         = \(\sqrt{169}\)

         = 13.00

3. Distance between X(20, 4) and Y(17, 0),

    XY = \(\sqrt{(20-17)^2+(4-0)^2}\)

          = \(\sqrt{3^2+4^2}\)

          = \(\sqrt{25}\)

          = 5.00

4. Distance between E(2, -1) and M(6, 9),

    EM = \(\sqrt{(2-6)^2+(-1-9)^2}\)

          = \(\sqrt{16+100}\)

          = \(\sqrt{116}\)

          = 10.77

Jutin chooses a function J(x) = 3x - 1 that when he uses the number 7 as an input, then the output is 20.

As per the given data, Jutin chooses a function in which he uses the number 7 as an input, then the output is 20.

Here we have to determine which function Jutin has to use.

Now we have to substitute the value that x = 7 in all the given functions.

First function:

F(x) = 2\(x^{5}\)

F(7) = 2 \((7)^{5}\)

F(7) = 2 (16807)

F(7) = 33614 which is not equal to 20.

Second function:

G(x) = \(x^{2}\) - 19

F(7) = \((7)^{2}\) - 19

F(7) = 49 - 19

F(7) = 30 which is not equal to 20.

Third function:

H(x) = 13 - x

H(7) = 13 - 7

H(7) = 6 which is not equal to 20.

Fourth function:

J(x) = 3x - 1

J(7) = 3(7) - 1

J(7) = 21 - 1

J(7) = 20

The correct function is J(x) = 3x - 1

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According to given information, the truck has 4.75 pounds of sand when it arrives at the yard.

What is distance?

Distance is a numerical description of how far apart objects or points are. It is a scalar quantity that is typically measured in units such as meters, kilometers, miles, etc. Distance is a fundamental concept in geometry, physics, and other fields of science and engineering.

The initial amount of sand the truck carried is 9.35 pounds.

The amount of sand the truck loses on the way is 4.6 pounds.

Therefore, the amount of sand the truck has when it arrives at the construction yard is:

9.35 - 4.6 = 4.75 pounds.

So the truck has 4.75 pounds of sand when it arrives at the yard.

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Answer:

Your slope is 1

Step-by-step explanation:

This is because you go up two boxes and to the right two boxes but then you have to simplify giving you a slope of 1

Answer:

y = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

31 - 8(y + 5) = 7

Step 2: Solve for y

Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!