Brandon wants to ride his bicycle 21 miles this week. He has already ridden 6 miles. If he rides for 5 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal.

Equation: 5x+6=21

Solve: 5x+6=21
-6= -6
5x=15
5x/5 = 15/5
x =3
Answer: x = 3

The proportional relationships for these problems are given as follows:

18. y = 0.5x, with constant k = 0.5.

22. y = -0.4x, with constant k = -0.4.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In item 18, we have that when x = 2, y = 1, hence the constant is:

k = y/x = 1/2 = 0.5.

Hence the equation is:

y = 0.5x.

In item 22, we have that when x = -5, y = 2, hence the constant is:

k = y/x = -2/5 = -0.4.

Hence the equation is:

y = -0.4x.

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The value of k  such that a is singular is ±√(5/2).

If a singular matrix's determinant is 0, it is a square matrix. Specifically, if and only if det A = 0, a square matrix A is unique. We are aware that the formula A-1 = (adj A) / can be used to get the inverse of a matrix A. Here, the denominator contains det A, which is the determinant of A. We are aware that a fraction with a denominator of 0 is not defined. Since det A = 0, A-1 is not defined. In other words, a single matrix's inverse is not defined. That is to say, there isn't a matrix B such that AB = BA = I.

A singular matrix means that the detA should be 0.

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The variable that would be the best choice when Pearce needs to choose a variable to represent the number of wallabies in an exhibit will be D. let w= the number of wallabies on the exhibit.

It should be noted that a variable simply means a symbol that's used to represent a situation in mathematics.

In this case, the variable that would be the best choice when Pearce needs to choose a variable to represent the number of wallabies in an exhibit so be let w= the number of wallabies on the exhibit.

This is because of the first alphabet used which is w.

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The area that occupies on a plan drawn to the given scale is 0.024 m²

Given,

The area of the playing surface at the Olympics stadium in Beijing = 3/5 hectare

The scale factor on a plan drawn = 1:500

We have to find the area that occupies on a plan drawn to the given scale:

Applied to the area we consider k² as the area is the product of two dimensions.

So, k = 1/500

Now the area on plan:

a : k² = actual area

a : (1/500)² = (3/5) × 10000

a : (1/250000) = 3 × 2000

a × 250000 = 6000

a = 6000 / 250000

a = 0.024 m²

That is, the area that occupies on a plan drawn to the given scale is 0.024 m²

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Equation and solution of equation :

17.25 + p(17.50) = 69.75

17.25 + 17.50p = 69.75

17.50x = 69.75 - 17.25

17.50p = 52.50

p = 52.50/17.50

p = 3

So three people can go to the amusement park (assuming that they are all travelling together in the same car).

The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

A group of friends wants to go to the amusement park. they have $69.75 to spend on parking and admission. Parking is $17.25, and tickets cost $17.50 per person, including tax.

Let p be the number of people. Then the equation is given as,

17.50p + 17.25 = 69.75

The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.

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After estimating 48 ÷ 7, we get the result as 7.

We are given an expression

48 ÷ 7

We need to estimate the result.

First, we will divide 48 by 7

So, we get that:

48 ÷ 7 = 6.857

Now we will estimate it.

We will round of the result.

as 6 > 5, we will get it as:

48 ÷ 7 ≈ 7

Therefore, after estimating 48 ÷ 7, we get the result as 7.

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The expressions are simplified to 3x^3/2/ y , 2 - 4i -  35i² and 4x^7y^9z^5

1.

Given the expression;

[tex]\sqrt{\frac{9x^3}{4y^2} }[/tex]

Take the square root of the variables;

= [tex]\frac{3x^3^/^2}{y}[/tex]

2. (2-5i)(3+7i)-(4+3i)

expand the bracket

6 + 14i - 15i - 35i² - 4 - 3i

collect like terms

2 - 4i -  35i²

3. Given the expression;

[tex]\sqrt[3]{81} x^7 y^9z^5[/tex]

Take the cube root of the value, we have;

4x^7y^9z^5

Thus, the expressions are simplified to 3x^3/2/ y , 2 - 4i -  35i² and 4x^7y^9z^5

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Answer:

v= 0

6(2-0)+2(4)=20 is the simplified version of the equation.

Answer:

140.4 inches

Step-by-step explanation:

there are 36 inches in a yard

3.9 times 36 is 140.4

Hope It Helps

Sorry If I'm Wrong

3.9 yards is equal to 140.4 inches.

We have,

The concept used to convert 3.9 yards to inches is the conversion factor between yards and inches. The conversion factor states that 1 yard is equal to 36 inches.

By multiplying the given value in yards (3.9 yards) by the conversion factor (36 inches/yard), we can convert the measurement from yards to inches.

This concept of using a conversion factor allows us to convert between different units of measurement.

To convert 3.9 yards to inches, we can use the fact that 1 yard is equal to 36 inches.

So, to convert 3.9 yards to inches, we multiply 3.9 by 36:

3.9 yards * 36 inches/yard = 140.4 inches

Therefore,

3.9 yards is equal to 140.4 inches.

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The inequalities are matched with their correct graph respectively as follows:

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

In Geometry, if the leading coefficient of a quadratic equation is greater than (>) zero, the parabolic curve would open upward while the parabolic curve would open downward when the leading coefficient of a quadratic equation is less than (<) zero.

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Complete Question:

Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)

1. A = {(x, y): y > x^2}

2. B = {(x, y): y ≥ x^2+ 3}

3. C = {(x, y): y ≤ 3x^2 + 2}

4. D = {(x, y): y ≥ 2x^2- 5x + 1}

6. x^2- 3x ≥ 0

7. x^2- 3x + 2 ≤ 0

8. {(x, y): y ≤ 1 - x^2}

9. {(x, y): y ≥ -1}

Answer:

h(3) = 1

Step-by-step explanation:

[tex]h\left(3\right)=\left(3\right)\cdot \:2-3\\h\left(3\right)=3\cdot \:2-3\\h\left(3\right)=6-3\\h\left(3\right)=3[/tex]

Divide

[tex]\frac{h\cdot \:3}{3}=\frac{3}{3}\\h=1[/tex]

Answer:

-8

Step-by-step explanation:

Any number raised to the power 1 is that number itself

So (-8)⁻¹ = -8

Answer:

See below

Step-by-step explanation:

The most important info is the rate ft^2 / min and how many minutes it took to mow.

From this, we need to know how much total area there is. We do this by multiplying the rate by the time.

[tex] \frac{ 4{ft}^{2} }{minute} \times 29minutes = 116 {ft}^{2} [/tex]

Then we need to write out the sum of the whole area in terms of length times width

[tex]6ft \times 14 ft + x \times 4ft = 116 {ft}^{2} [/tex]

Notice how we put x for the unknown variable, this turns it into an easy peasy algebra problem. I leave that to you, solve for x

Answer:

An absolute number is a number that is represents a distance from 0. An absolute number is always positive since the distance between two number is always positive.

Step-by-step explanation:

Answer:

find the value of x file attached x9

The Option A best explains the dual experiments: "In the experimental group, a chosen variable is altered in a known way. In the control group, that chosen variable is not altered so a comparison can be made."

Now,

Hence, amongst all the given options, The Option A best explains the dual experiments: "In the experimental group, a chosen variable is altered in a known way. In the control group, that chosen variable is not altered so a comparison can be made."

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Answer: 8 runners

Step-by-step explanation:

If you mean that " if each person runs one more mile than the previous runner" then:

First person = 1

Second person = 1+1

.....

(1)+(1+1)+(1+1+1)+(1+1+1+1)+(1+1+1+1+1)+(1+1+1+1+1+1)+(1+1+1+1+1+1+1)+(1+1+1)

1  +   2 +    3    +     4      +       5       +         6        +            7         +    3  =31

(the last runner runs less miles then needed)

Answer:

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

.75 x 28 = 21

Answer:

360 - 6r

Step-by-step explanation:

just simplify the expression

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

Reason:

It might help to draw a number line for this.

3/18 is closer to 0 than it is to 1/2 = 9/18, so the mixed number 3 & 3/18 rounds to 3 when rounding to the nearest half.

4/7 is closer to 1/2 = 4/8 than it is to either 0 or 1, so 4 & 4/7 rounds to 4 & 1/2 when rounding to the nearest half.

Adding 3 to 4 & 1/2 gets 7 & 1/2 since we add the whole parts 3+4 = 7, and the fractional part stays as it is.

-----------

Check:

(3 + 3/18) + (4 + 4/7) = 7.738 approximately

7 + 1/2 = 7.5 exactly

The two results aren't too far off. The estimate of 7 & 1/2 is an underestimate.

Answer:

About 7 1/2 ounces

Step-by-step explanation:

Add your whole numbers first, 3 + 4 = 7

Now the fractions:

3/18 = 1/6

Estimate 4/7 + 1/6, the answer is somewhere between 1/2 and 1 whole. Therefore the answer is about 7 1/2

Check:

3/18 × 7/7 = 21/126

4/7 × 18/18 = 72/126

21/126 + 72/126 = 93/126

The actual answer is 7 31/42, so the closest answer is 7 1/2

The value of the given quadratic equation are = x = -(6/5) , x = 2

Quadratics are polynomial equations of the second degree, which means they have at least one squared term. It is also known as quadratic equations. The quadratic equation has the general form: ax2 + bx + c = 0.

Quadratic functions occupy a distinctive place in the school curriculum. They are functions whose values are easily estimated from input values, therefore they are a modest improvement over linear functions and provide a major shift away from attachment to straight lines.

Given (5x + 6)(3x - 6) = 0

Using the zero factor principle: if ab = 0 then a = 0 and b = 0

So,

(5x + 6) = 0 or (3x - 6) = 0

for the (5x + 6):

(5x + 6) = 0 (subtracting both side by 6)

5x + 6 - 6 = 0- 6

so, x = -(6/5)

Same calculation for (3x - 6) = 0 we get x = 2

The value of the given quadratic equation are = x = -(6/5) , x = 2

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In some base [tex]B[/tex], we have

[tex]abab_B \equiv 555_{10}[/tex]

so that

[tex]aB^3 + bB^2 + aB + b = 555[/tex]

Factorize the left side.

[tex]aB (B^2 + 1) + b (B^2 + 1) = 555[/tex]

[tex](aB + b) (B^2 + 1) = 555[/tex]

Now, [tex]B[/tex] is a positive integer greater than 1, and [tex]a,b[/tex] are positive integers taken from [tex]\{0,1,2,\ldots,B-1\}[/tex]. So consider the prime factorization of 555 on the right side.

[tex](aB + b) (B^2 + 1) = 3\times5\times37[/tex]

which we can write as

[tex](aB + b) (B^2 + 1) = 15\times(6^2 + 1) = (2\times6 + 3) \times (6^2+1)[/tex]

and so the base is 6, and the number in question is 2323₆.

Step-by-step explanation:

no lo se,no hablo ingles..........

Lo ciento, pero yo no se mucho Espanol por que yo soy negro y boricua pero mas negro asi que yo nunca aprendió.

Yo esperar una persona quien es muy mejor a Espanol pueda ayudarte! Adios.

(Yo solo escribio ese para la premio!)

If Point B [tex](3,1)[/tex] has translated 2 units to the right and 1 unit up, new coordinates of point B' are [tex](5,2)[/tex]

As per the question statement, Point B [tex](3,1)[/tex] is there on a cartesian plane. Point B is translated 2 units to the right and 1 unit up.

Before solving this question, we need to know about cartesian plane system in which, there are four quadrants which are made using positive and negative axes known as positive X and negative X (same for Y axis).

Now point B[tex](3,1)[/tex] lies in the first quadrant and value "3" describes the location of point on X axis and value "1" describes the location of point on Y axis.

If point B [tex](3,1)[/tex] is translated 2 units to the right and 1 unit up, the locations of X and Y axes will change to value "5" on X axis and value "2" on Y axis.

Hence the coordinates of point B' are [tex](5,2)[/tex]

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