Find the slope and y-intercept from the following graph of a linear equation.

Answer:

(1) 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.

(2) 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.

(3) 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.

Step-by-step explanation:

(1) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n + (n+1) < 1000[/tex]

[tex]2\cdot n +1 < 1000[/tex] (Eq. 1)

Then we solve the inequation by algebraic means:

[tex]2\cdot n < 999[/tex]

[tex]n < \frac{999}{2}[/tex]

[tex]n < 499.5[/tex]

Which means that greatest value of [tex]n[/tex] is 499. In consequence, 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.

(2) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n+(n+1)+(n+2) < 1000[/tex]

[tex]3\cdot n + 3 < 1000[/tex] (Eq. 2)

Then we solve the inequation by algebraic means:

[tex]3\cdot n < 997[/tex]

[tex]n < \frac{997}{3}[/tex]

[tex]n < 332.333[/tex]

Which means that greatest value of [tex]n[/tex] is 332. In consequence, 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.

(3) Let be [tex]n \in \mathbb{Z}[/tex], such that:

[tex]n +(n+1)+(n+2)+(n+3)+(n+4) < 1000[/tex]

[tex]5\cdot n + 10 < 1000[/tex] (Eq. 3)

Then we solve the inequation by algebraic means:

[tex]5\cdot n <990[/tex]

[tex]n < \frac{990}{5}[/tex]

[tex]n < 198[/tex]

Which means that greatest value of [tex]n[/tex] is 197. In consequence, 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.

Answer:

16.4722222222

Step-by-step explanation:

The quotient and remainder should be 16 and 17 respectively.

Given that,

The division result in the division operator is

Now the remainder should be

Therefore we can conclude that the quotient and remainder should be 16 and 17 respectively.

Learn more about the division here: brainly.com/question/21416852

Answer:

15

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

10 to the 2nd power is 100

100 x 1.5=150

Step-by-step explanation:

1 is the starting point since it is on the the axis.

then you would use the rise over run method to get the fraction. it rises by two and runs by 1 which would get you 2/1. so the answer should be y=1+2/1

(it is an addition sign since it is a positive slope)

By direct calculation, we will see that Jessie can go to 7 rides in the county fair.

So we know that the cost of admission is $5.00 and each ride costs $2.00.

So if you go to the county fair and go to x rides, the cost is:

c(x) = $2.00*x + $5.00

And you have $19, then by solving:

c(x) = $19

We can find the number of rides at which Jessie can go.

$19 = $2.00*x + $5.00

$19 - $5 = $2*x

$14 = $2*x

$14/$2 = x = 7

Jessie can go to 7 rides.

If you want to learn more about linear equations, you can read:

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Answer:

m9 = 115

m4 =110

m10=65

m11= 70

m8= 70

m5 = 65

m3 = 70

m14 = 115

Answer:

5

Step-by-step explanation:

5 plus 5 more than 5 is 15

The answer should be 60 if im correct.

Answer:

X = -4 1/3 or -4.333 or -13/3

Step-by-step explanation:

2(x+5) = 5x+23

2x + 10 = 5x+23

2x-2x + 10 = 5x-2x +23

10 = 3x + 23

10-23 = 3x + 23-23

-13 = 3x

-13/3 = 3x/3

x = -4 1/3 or -4.3333

Answer:

X =[tex]-\frac{13}{3}[/tex] or -4.3 ( with a line above the 3)

Step-by-step explanation:

I showed how to do it in the image attached.

Hope this helps

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[tex] \frac{12}{80} \times 100 = \\ [/tex]

[tex] \frac{4 \times 3}{4 \times 20} \times 100 = \\ [/tex]

[tex] \frac{3}{20} \times 100 = \\ [/tex]

[tex] \frac{100}{20} \times 3 = \\ [/tex]

[tex]5 \times 3 = 15 \: \: \: percent[/tex]

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Answer:

50 $20 bills equals $1,000

Step-by-step explanation:

1000 / 20=50

50 $20 bills equal $1000

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here $1000 bill to find its $20 equivalent we divide the amount with 20 thus $20 equivalent of $1000 is  $1000/20=50

Hence, $1000 bill equivalent of $20 is 50

Learn more about the unitary method here:

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Answer:

16%

Step-by-step explanation:

Answer:

54x

Step-by-step explanation:

The equation y = 45 models the saving.

If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).

Given the graph of the equation.

Note that the graph passes through points (0,0) and (2,90).

The slope of the line is:

m = (90 - 0)/(2 - 0)

m = 45

The equation of the line with a slope of m = 45 and passes through (0,0) is:

y -0 = 45(x - 0)

y = 45x

Hence, the equation y = 45 models the saving.

Learn more about the point-slope form of a line:

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Answer:

-1.2*-7=8.4   -2.5*-2=5   2.5*-2=-5    -1.2*7=-8.4

Step-by-step explanation:

It's -46, because if you add -6 and -46 you get -52

Answer:

1. isosceles and acute

2. Scalene and acute

3. Equilateral and equiangular

4. Right (and isosceles ?)

(not sure ab isosceles for the last one but everything else is fine)

:)

Answer:

John attempted 500 passes.

Step-by-step explanation:

350 / x = 70%

350 = 0.7x

x = 500

Answer:

(7i^17+42.628%*1037)(437^2-281i)^19

Step-by-step explanation:

Itll all make sense

M e e e e e ??

Hope you have a great day!

9514 1404 393

Answer:

  a) base: 29.4377 cm

  b) hypotenuse: 30.7827 cm

  c) area: 132.470 cm²

  d) perimeter: 69.2204 cm

Step-by-step explanation:

a) The mnemonic SOH CAH TOA reminds you that ...

  Tan = Opposite/Adjacent

  tan(17°) = (9 cm)/base

  base = (9 cm)/tan(17°) = 29.4377 cm

__

b) The sine relation could be used in the same way to find the hypotenuse:

  hypotenuse = (9 cm)/sin(17°) ≈ 30.7827 cm

However, we're instructed to use the Pythagorean theorem. So, we have ...

  hypotenuse = √(base² +(9 cm)²) ≈ √(886.577 +81) cm ≈ 30.7827 cm

__

c) The area is half the product of the base and height:

  A = 1/2bh

  A = (1/2)(29.4377 cm)(9 cm) ≈ 132.470 cm²

__

d) The perimeter is the sum of side lengths:

  P = base + hypotenuse + height

  P = (29.4377 +30.7827 +9) cm = 69.2204 cm

Answer:

15ab

Step-by-step explanation:

if the AB is capital on purpose then its 15a^2b over AB

In a normal distribution, 95% of the data falls within two standard deviations.

What is a normal distribution?

The most typical distribution function for independent, randomly produced data is the normal distribution, commonly known as the Gaussian distribution. Every statistical report uses this well-known bell-shaped curve, from survey analysis and quality control to resource allocation.

Here,

We have to determine in a normal distribution, 95% of the data fall within how many standard deviations of the mean.

We concluded that 95% of the data points will fall within two standard deviations of the mean. 99.7% of the data points will fall within three standard deviations of the mean.

Hence, In a normal distribution, 95% of the data falls within two standard deviations.

To learn more about the normal distribution from the given link

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9 miles is approximately equivalent to 5.6 miles.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

We know 1 mile is approximately equivalent to 1.6 kilometers or 1.6 kilometers is equivalent to 1 mile.

∴ 9 kilometers is equivalent to (9/1.6) miles.

= 5.6 miles.

learn more about the unitary method here :

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Answer:

its D 162

Step-by-step explanation:

First, subtract 12 by 18 to find the length that gives you 6 then do 6x9 to find the area of the square then divide by 1/3 to find the triangle

Answer:

n + (3n)+7 =

4n+7

And that is the answer

Step-by-step explanation:

Answer:

X=42

Step-by-step explanation:

when the question says that ABCD ~ EFGH that's just saying that they are equal.

AB = 16   FE = 10   the first shape has sides that are 6 longer than the second shape.

next, to find X in FG, it's going to be BC - 6 = X - 4 = FG (aka 30 - 6 = 42 - 4 = 20).

i hope thought this out right for you, and hope that helps. :)

Answer:

C

Step-by-step explanation:

Only C is a polynomial function.  It is recognizable as such by the positive, integer power x^4.  The others have negative powers, which eliminates them.