Complete the statements below to explain two ways to convert miles to kilometers.


1 mile ≈1.61 kilometers
1 kilometer ≈0.62 mile
CLEARCHECK
Kilometers are ____
miles.
That means the number of kilometers in a distance will always be
_____ the number of miles in that distance.
We can convert miles to kilometers by ______
by 1.61.
We can convert kilometers to miles by ______
by 0.62.

Answer:

1 5/7

Step-by-step explanation:

12/7 x 5/5 = 60/35 or 1 5/7

[tex] - 2x + 2 = 180 \\ - 2x = 180 - 2 \\ - 2x = 178 \\ \frac{ - 2x}{ - 2} = \frac{178}{ - 2} \\ x = - 89[/tex]

ATTACHED IS THE SOLUTION of X

Answer:

4.25c + 3.5p = 36.50

c + 6 = p

c = candies and p = pretzels

Step-by-step explanation:

So for the first equation, the prices will be the coefficients of each variable, since for each candy/pretzel it will be that price. We also know that both of these prices together equal 36.50, so that will be on the other side of the equal sign. So the equation representing this info is 4.25c + 3.5p = 36.50

And for the second equation I saw that Mason bought 6 more pretzels than candies. So no matter what number the candies is, the pretzels should always be 6 more than the candies. So the equation representing this information is c + 6 = p

Lastly I just defined the variables that I used to right the system. That is all! Hope this helps you this should be correct :)

The equation of the polynomial is P(x) = (x - 4)(x - 6)(x + 3)²

Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators

The given parameters are

The sum of multiplicities of the polynomial equation must be equal to the degree.

This means that the multiplicity of the zeros 4 and 6 is 1

The equation of the polynomial is then calculated as

P(x) = (x - zero)^ multiplicity

So, we have

P(x) = (x - (-3))² * (x - 4) * (x - 6)

This gives

P(x) = (x - 4)(x - 6)(x + 3)²

Hence, the equation is P(x) = (x - 4)(x - 6)(x + 3)²

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Answer:

assuming the percents are out of 100 the order is

14.8 then 15% then 154/5 then 1450%

if thats not the case let me know and i'll correct it

Step-by-step explanation:

15% of 100 = 15

154/5 = 30.8

1450% of 100 = 1450

The weight of a person in Venus who weighs 210 pounds on Earth is 185.5 pounds.

It is given in the question that weight of a person on Venus varies directly with his or her weight on Earth. Also, a person weighing 120 pounds on Earth weighs 106 pounds on Venus.

We have to find the weight of the person in Venus who weighs 210 pounds on Earth.

Let weight on Earth be e and,

weight on Venus be v.

From the data given in the question, we can write,

e ∝ v

e = kv

Where k is the constant of proportionality

120 = k*106

k = 120/106 = 60/53

Hence, we can write,

210 = (60/53)*v

(210*53)/60 = v

v = 185.5 pounds

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The equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case is: 800 x + 1800 y = 17600.

Let variable x =represent the number of associates, assigned to the case

Let variable y represent number of partners assigned to the case.

The system of equations re:

800 x + 1800 y = 17600

y = x + 2

Plug equation 2 in equation 1, we get,

800 x + 1800(x+ 2) = 17600

2600 x + 3600 = 17,600

Collect like terms

2400 x = 14,000

Divide both side by 2400x

x = 14,000 / 2400

x = 5.8

x = 6 (Approximately)

So,

y = x + 2

y = 5.8 +3

y = 7.8

y = 8 (Approximately)

Therefore the number of associates assigned to the case were 6, and the number of partners associated to the case were 8.

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Incomplete question.No requirement of question

Answer: No Solution

Step-by-step explanation:

||3x - 1| + 5| <1  ⇒

[tex]\left \{ {{|3x - 1| + 5 < 1} \atop {|3x - 1| + 5 > -1 }} \right.[/tex]    ⇒

[tex]\left \{ {{|3x - 1| < -4} \atop {|3x - 1| > -6} \right.[/tex]        ⇒

The first equation does not make sense because absolute value and as it is a system of equations, the whole system does not have a solution.

Answer:

add a picture

Step-by-step explanation:

Answer:

Property of Equality

Step-by-step explanation:

B=D and D=B so they are the same value so its a property of equality

Answer:

INVALID or 16

Step-by-step explanation:

The answer would be invalid due to the double addition signs.

However, if you meant to put a 2 in between those signs, it would be:

4+2+2+2+2+2+2

6+2+2+2+2+2

8+2+2+2+2

10+2+2+2

12+2+2

14+2

16

Answer:

Step-by-step explanation:

14

Zach’s gross income was $79,500.

Given:

Zach's salary = $75,000

His interest income from a CD = $4,500  

Expenses = $5,000

Contribution to an IRA = $4,000

Standard deduction = $5700

Exemption rate = $3,650

Zach’s gross income =  Salary + interest income

                                  = $75,000 + $4,500

                                  = $79,500

Therefore, Zach’s gross income was $79,500.

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Answer: 5<x<35

Step-by-step explanation:

An acute angle ranges from 0 to 90 degrees.

[tex]0 < 3x-15 < 90\\\\15 < 3x < 105\\\\5 < x < 35[/tex]

Answer:

D.   [tex]x^4-x^3+x^2-x+1-\frac{6}{5x+5}[/tex]

Step-by-step explanation:

Volume of a rectangular box = Base Area x Height

V = Ah

Here we are give V and h and asked to compute A

From the equation for V, dividing both sides by h gives
V/h = A

A = V/h

V = 5x⁵ - 1
h = 5x + 5

[tex]V = \dfrac{5x^5-1}{5x + 5}[/tex]

The simplified result is [tex]x^4-x^3+x^2-x+1-\frac{6}{5x+5}[/tex]

I solved this using synthetic division and can provide the steps if you want

 x = 5 is the value of x in exterior angle.

Why is this term "exterior angle" used?

∠QRS is exterior angle .

apply exterior angle theorem in ΔPQR

So, ∠QRS = ∠PQR + ∠RPQ

     8x - 9° = 3x + 12° + 3x - 11°

     8x - 9 = 6x + 1

       8x - 6x = 1 + 9

         2x = 10

            x = 10/2

            x = 5

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Answer: 4AB

Step-by-step explanation:

[tex](A+B)^2-(A-B)^2=\\((A+B)+(A-B))((A+B)-(A-B))=\\(A+B+A-B)(A+B-A+B)=\\(2A)(2B)=\\4AB[/tex]

Answer:

each point needs to be transformed using (-y,x) for the new coordinate

Answer:

50

Step-by-step explanation:

          i^2 = -1

First simplify the radicals. Then use FOIL method

[tex]\sf (3 + \sqrt{-16})(6-\sqrt{-64}) = (3 +\sqrt{i^2*4^2})(6-\sqrt{i^2*8^2})[/tex]

                                     = ( 3 + 4i)(6 -8i)

                                     = 3*6 - 3*8i + 4i*6 - 4i*8i

                                     = 18 - 24i + 24i - 32i^2

                                      = 18 - 24i + 24i - 32*(-1)

                                       = 18 - 24i +24i + 32

                                       = 18 + 32 - 24i + 24i

Combine like terms,

                                       = 50

Step-by-step explanation:

this is very roughly converted from the original question, I bet. no punctuation marks and, and ...

what I understood of the important information is :

there are 23 boxes of books with 12 books in each.

there are 4 teachers dividing the books evenly among themselves for their cells (classes ?) of students.

so, we need to divide the books by 4 to distribute them evenly into 4 parts.

23×12/4 = 23×3 = 69

each teacher got 69 books.

In case whereby the factors of 45= 3x3x5  and 75=3x3x5 given the factors, that both 45 and 75 share are 3, 5 , which are two factors

The factors of the two given numbers 45 and 75 can be seen as those whole numbers that when it is been used to divide the numbers 45 and 75 will have no remainders.

For instance , if we divide 45 by 3 then we will have 15 which do no have any remainder, same with when we divide 45 by 5 , it will have no remainder, same thing can be done to 75, we can divide it by 3 as wel as 5 without getting any remainder.

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Answer:

9.

he washes 9 cars on Tuesday.

Step-by-step explanation:

28 * 7 = 196.

448 - 196 = 252

252 / 28 = 9

On solving the linear equation  28x + 196 = 448, we get that Craig washed 9 cars on Tuesday.

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting , multiplying or dividing same number to both sides.

Given that Craig washes cars and earns $ 28 for each car . He washed 7 cars on Monday.

Let on Tuesday he washed x cars

Total money earned on Tuesday and Monday by Craig = $448

Money earned on Monday = $ 7× 28 = $ 196

Money earned on Tuesday  = $ x×28 = $ 28x

⇒ 28x + 196 = 448

Subtracting 196 from both sides we get

⇒ 28x + 196 -196 = 448 - 196

⇒ 28 x = 252

Dividing both sides by 28

⇒ x = 252/28 = 9

Therefore, Craig washed 9 cars on Tuesday.

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Answer: Slope 0.5298 ± 0.2372

Y-intercept 1.429 ± 1.198

X-intercept -2.697

Step-by-step explanation: I hope that helped

Answer:

Exact form: x= -1 ± √2

Decimal Form: x= 0.41421356..., -2.41421356...

Step-by-step explanation:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros) replace  with 0 and solve for x.

Answer:

6.25

Step-by-step explanation:

a quarter=1/4 which is 0.25; 0.25 for each person is 0.25(25)=6.25

We typically write linear equations in slope-intercept form:

[tex]y=mx+b[/tex]

We're given:

1) Determine the slope (m)

To find the slope, we can use the slope equation:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points through which the line passes

⇒ Plug in the given points:

[tex]m=\dfrac{-1-(-4)}{0-(-13)}\\\\m=\dfrac{-1+4}{0+13}\\\\m=\dfrac{3}{13}[/tex]

Therefore, the slope of the line is [tex]\dfrac{3}{13}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\dfrac{3}{13}x+b[/tex]

1) Determine the y-intercept (b)

In this case, the y-intercept is already given to us.

The y-intercept is the value of y when x=0. Given that the line passes through (0,-1), we know that this is -1.

Plug this into [tex]y=\dfrac{3}{13}x+b[/tex]:

[tex]y=\dfrac{3}{13}x+(-1)\\\\y=\dfrac{3}{13}x-1[/tex]

[tex]y=\dfrac{3}{13}x-1[/tex]

The equation of the line in the point-slope form is y + 3 = 1/2(x - 5)

From the question, we are to determine the equation of the given line in point-slope form

First, we will determine the slope of the line

Using the points (1, -5) and (3, -4)

From the formula,

Slope = (y₂ - y₁) / (x₂ - x₁)

Slope = (-4 - -5) / (3 - 1)

Slope = ( -4 + 5) / 2

Slope = 1/2

Now,

For the point-slope form of the line

Using the point-slope form of the equation of a straight line,

y - y₁ = m(x - x₁)

Where m is the slope

The given point is (5, -3)

Thus,

The point-slope form of the line is  

y - -3 = 1/2(x - 5)

y + 3 = 1/2(x - 5)

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The the coordinates of endpoint J on line segment JL with a midpoint of (-2, 6) is ( -3,15 ).

A midpoint is simply a point that divides a line segment into two equal halves.

The midpoint formula is expressed as;

M = ( (x₁+x₂)/2, (y₁+y₂)/2

Given the data in the question;

Midpoint K(-2, 6)

Point L(-1, -3).

Point J

To determine the coordinate of point J, plug the given points into the midpoint formula above and simplify.

First, we get the x-coordinate of point J

x = (x₁+x₂)/2

2x = x₁ + x₂

2( -2 ) = x₁ + ( -1 )

-4 = x₁ - 1

x₁ = -4 + 1

x₁ = -3

Next, we get the y-coordinate of point J

y = (y₁+y₂)/2

2y = y₁ + y₂

2(6) = y₁ + (-3)

12 = y₁ - 3

y₁ = 12 + 3

y₁ = 15

Therefore, the coordinates (x₁,y₁) of the endpoint point J is ( -3,15).

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Answer:

September2020

13outcomes

Alternate interior angles are congruent if the two parallel lines are intersected by the transversal.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertically opposite angles etc.

The parallel lines in the diagram has two red arrows on it.

The transversal line is the one that cut the other two parallel lines.

The angles formed are 9x + 5 and 10x - 5.

Therefore, if the two parallel lines are intersected by the transversal then alternate interior  angles are congruent.

Hence,

9x + 5 = 10x - 5

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