A line passes through the point (-4,6) and has a slope of 5/4

[tex]\\ \rm\Rrightarrow \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{(3+8)^2+(2-2)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{11^2}[/tex]

[tex]\\ \rm\Rrightarrow 11[/tex]

According to the table,

• € 1 = R 12,75

• $ 1 = € 0,70

• $ 1 = R 8,89

Then

€ 250 × (R 12,75 / € 1) = R 3.187,5

$ 1300 × (€ 0,70 / $ 1) = € 910

$ 680 × (R 8,89 / $ 1) = R 6.045,2

3x-4 is the quotient okkk

Arithmetic involves carrying out addition, subtraction, division and multiplication on numbers and expressions. The result of [tex]50 + 10 \times 0 + 7 + 2[/tex] is [tex]59[/tex]

Given that:

[tex]50 + 10 \times 0 + 7 + 2[/tex]

To do this, we apply BODMAS.

First, we evaluate all multiplication operations

[tex]50 + 10 \times 0 + 7 + 2 = 50 + 0 + 7 + 2[/tex]

Then evaluate all addition operations

[tex]50 + 10 \times 0 + 7 + 2 = 59[/tex]

Hence, the result of [tex]50 + 10 \times 0 + 7 + 2[/tex] is [tex]59[/tex]

Read more about arithmetic at:

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If [tex]k\in\mathbb{Z}[/tex] than [tex]k+1\in\mathbb{Z}[/tex] however any [tex]\mathbb{Z}[/tex] divided by 2 is in [tex]\mathbb{Q}[/tex].

But it is not so simple.

If [tex]k[/tex] is odd then [tex]k+1[/tex] is even but when even number is divided by 2, you get an odd number which is in [tex]\mathbb{Z}[/tex].

However if [tex]k[/tex] is even then [tex]k+1[/tex] is odd and when we divide that by 2, you get a number like for example [tex]\frac{5}{2}[/tex] which is not in [tex]\mathbb{Z}[/tex] but rather inside [tex]\mathbb{Q}[/tex]. There are fortunately no irrational numbers.

There is also a problem with zero, zero is neither odd nor even but still an integer. If your [tex]k[/tex] happens to be -1, [tex]k+1=0[/tex], and zero divided by 2 is still just 0 which is in [tex]\mathbb{Z}[/tex].

So to sum up,

If [tex]k[/tex] is odd and not -1, then [tex]\frac{k+1}{2}\in\mathbb{Z}[/tex].

Or to put it in math [tex]\forall k\in\mathrm{odd}-\{-1\}\cup\{0\}\implies\frac{k+1}{2}\in\mathbb{Z}[/tex].

If [tex]k[/tex] is even or -1, then [tex]\frac{k+1}{2}\in\mathbb{Q}[/tex].

Or to put it in math [tex]\forall k\in\mathrm{even}\cup \{-1\}\implies\frac{k+1}{2}\in\mathbb{Q}[/tex].

Notes:

[tex]\mathbb{Z}[/tex] is a set of integers.

[tex]\mathbb{Q}[/tex] is a set of rational numbers.

[tex]\mathbb{Z}\subset\mathbb{Q}[/tex] means integers are a subset of rational numbers, that is, every integer is a also a fraction, however not every fraction is an integer.

Hope this helps :)

Answer:

7 DVDs

Step-by-step explanation:

Christine spent $29.50 in total, and $5 on the membership.

so the amount of money spent on DVDs is $29.50 - $5, or $24.50.

The number of DVDs she rent are $24.50 / $3.50 = 7 DVDs

Answer:

7 DVDs

Step-by-step explanation:

We can create an equation to found out how many DVDs she rents. Let d = number of DVDs she rents.

3.50d + 5 = 29.50

~Subtract 5 to both sides

3.50d = 24.50

~Divide 3.50 to both sides

d = 7

Best of Luck!

Answer:

x=12

Step-by-step explanation:

(8x-20)+(8x+8)=180

16x-12=180

16x=180+12

16x=192

x=12

Answer:

x = 12

Step-by-step explanation:

The given angles are supplementary. Therefore, they have a sum of 180°.

8x - 20 + 8x + 8 = 180

16x - 12 = 180

16x = 192

x = 12

Answer:

Perimeter 18 and area is 9

Answer:

Step-by-step explanation:

P ___15cm______T____10cm______B

As shown above,

PB is a line segment and point T in it forming - PT = 15 and TB = 10

So,

PB = PT + TB

= 15 + 10

= 25 (Ans)

[tex] \sf \red {alternate \: angles}[/tex]

[tex] \huge \purple{ \underbrace{ \overbrace{Hope \: it \: helps}}}[/tex]

Answer:

Base: 24 and height:6

Step-by-step explanation:

Answer:

Base: 24

Height: 6

Step-by-step explanation:

The question says a scale factor of 1/2 so divide by 2. It says scale back

so you know as well that your answer is going to get bigger.

Original Base = 48/2 or (48)x(1/2)

Original Height = 12/2 or (12)x(1/2)

Answer:

9 and 11

Step-by-step explanation:

9 and 11 are before and after 10. so, 10 lies between them.

Answer:

8500

Step-by-step explanation:

depreciation=10000×15%=1500

initial cost = 10000

final cost = initial cost- depreciation

=10000-1500

=8500

Answer:

The two numbers are 6 and 16

Step-by-step explanation:

16+6=22

22+22=44

The numbers are 6 and 12.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number are x and y.

A number is 10 more than another number then

x + 10 = y...............(1)

and, Twice the sum of the two numbers is 44.

2(x+y)= 44...........(2)

Solving the above equation we get

x+ y= 22

y-10 + y = 22

2y = 32

y= 16

and, x= y-10 = 16-10= 6

Learn more about Algebra here:

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#SPJ2

Answer:

The Salinas Plan

The Salinas Plan is a Ten-Year Plan designed to provide the City with a path forward on maintaining a long-term balanced budget while preserving City services and addressing the affordable housing crisis.  The Salinas Plan may be found here.

The Salinas Plan Story

The Salinas Plan was presented to the City Council by representatives of the National Resource Network on December 4, 2018.  The Salinas Plan represented over a year of work analyzing the City's fiscal situation and current housing policies.  The Salinas Plan presented the following key findings:

- The City of Salinas is on a fiscally unsustainable path.  While the City's revenues are growing at 2.4% per year, expenditures are growing at 2.9% per year.

Step-by-step explanation:

The word sofa begins with an open syllable.

Phonetics is the study of the sound of words/ speeches. This branch of linguistics deals with how words and letters sound and classifies them accordingly.

The easiest way to detect an open and closed syllable is by identifying the position or use of the vowels and consonants in a syllable. This makes the word "sofa" an open syllable.

Learn more about open syllable here:

brainly.com/question/18046779

Step-by-step explanation:

First, let y coeffecinet be 1, since y coefficient is -4 we divide both sides by -4

[tex] - \frac{3}{4} x + y = - 2[/tex]

Add 3/4 to both sides

[tex]y = \frac{3}{4} x - 2[/tex]

Answer:

8a^3b^3

Step-by-step explanation:

Just put same numbers with numbers, same alphabets with same alphabets

(2a^2b) (4ab^2)

2 x 4 x a^2 x a x b x b^2

Step-by-step explanation:

[tex] \frac{1.4}{100} \\ 0.014[/tex]

Whenever you divide any number with 10,100,1000,10000 ....

then move the decimal point of the given number toward left side as the number of zero in dividing number,

1.4/100

here in 100 there is 2 zeros , so we should shift the decimal 2 point left of 1.4

Answer:

Divide  1.4 by  100  = 0.014

Answer:

2.b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

100x + 500 = t

Step-by-step explanation:

100x represents the amount you pay for each day you rent the car.

500 represents the flat fee that you only pay once.

t represents the total cost.

Answer:

The rate of change is 185.

It tells us that Fuji's expenses increase by $185 for each additional crib made.

Step-by-step explanation:

In a linear equation, the rate of change is the change in y over the change in x.

In this situation, that means how much the cost will change based on the amount of cribs that Fuji has to make.

Since labor and material costs for each crib cost $185, 185 is the rate of change.

For every additional crib that Fuji makes, the cost will increase by $185.

So, the rate of change is 185 and it tells us that Fuji's expenses increase by $185 for each additional crib made.

Answer:

i belive if not mistaken 6

Step-by-step explanatio

Answer and Step-by-step explanation:

I will replicate what you said into an algebraic equation.

Your number will be represented as x.

(3x + 3) - (2x + 1) = 9

Distribute the negative.

3x + 3 - 2x - 1 = 9

Combine like terms.

x + 2 = 9

Subtract both sides of the equation by 2.

x = 7

Your number is 7.

Checking my answer:

(3(7) + 3) - (2(7) + 3) = 9

(21 + 3) - (14 + 3) = 9

24 - 17 = 9

9 = 9 ✓

So, your number is 7.

#teamtrees #PAW (Plant And Water)

I hope this helps!