To begin solving this system of linear equations by elimination , you can add the equations . x + 4y = 38 5x - 4y = -30 8x = 8 This step works because of the distributive property B. multiplication property of equality C. commutative property D. addition property of equality

Answer:

y = x - 2

General Formulas and Concepts:

Pre-Algebra

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Point (-2, -4)

Point (2, 0)

Step 2: Find slope m

Step 3: Find y-intercept b

Step 4: Write linear equation

Slope-Intercept Form:   y = x - 2

And we have our final answer!

Answer:

312500

Step-by-step explanation:

I believe the pattern is x5 x-5 x5 x-5 and if you follow that pattern, you get 312500. im sorry if im wrong

Answer: 1000

Step-by-step explanation:

Answer:

1000

Is the answer I think

Answer:

So the answer is 30 of a length

Step-by-step explanation:

equal sides of the length 5 and length 6

Answer:

3

Step-by-step explanation:

2n+10=16

2n=6

n=3

Answer:

27

Step-by-step explanation:

6/10=12/20 because when you cross multiply, 120=120, so then you can do wither 6/10=x/45 and when you cross multiply you get 270=10x and 270/10=27.

Answer:

1) 50

2) -18

Step-by-step explanation:

2) what I did was subtract -34 from -16

The distance between -34 and 16 as requested is; 50

The distance between two points, x and y on the number line is the absolute value of their difference.

Distance = | x -y |

In this scenario; the distance between -34 and 16 is therefore;

Distance = | -34 - 16|

Distance = | -50 |

In essence, Distance = 50.

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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:

1/14 Hope this helps!!! :) Have a great day

Step-by-step explanation:

Answer:

1/14

Step-by-step explanation:

3/7 × 1/6

1/7 × 1/2

1/14

Answer:

7/16

Step-by-step explanation:

Answer:

14/32 = 7/16

Step-by-step explanation:

You divide each number by two

Answer:

x = 40

Step-by-step explanation:

2/5x + 1/4x = 26

~Find common denominators

8/20x + 5/20x = 26

~Combine like terms

13/20x = 26

~Multiply 20/13 to both sides

x = 40

Best of Luck!

Answer:

so all you do is cross flip and multiply  

Step-by-step explanation:

what that means is you flip the fraction on the right and then cross multiply the two fractions

I hope this helps

Answer:

ok so

lets say

1 2/4 divided by 1/3

okay so first you change the 1 2/4 into a improper fraction

1 2/4 = 6/4

okay then you find a common denominator for both of them so you multiply 6 and 4 times 3 and you multiply 1 and 3 times 4

so the question is now

18/12 divided by 4/12

then you divide the numerator by numerator and the denominator stays the same

heres another way:

you change the number to improper if not already

18/12 divided by 4/12

and then you switch the 4 and the 12 around so its now

18/12 divided by 12/4 and then u change the divide sign into a multiply sign which is

18/12 times 12/4 and then u multiply the numerator by numerator and denominator by denominator

sorry if this is confusing, im bad at explaining >_<

Answer:

Caleb will run 237 ft

Step-by-step explanation:

Answer:

Caleb will run 220 ft.

Step-by-step explanation:

70 * pi = 220 ft

Answer:

see below

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y - 2 = 4(x- -1)

y - 2 = 4(x+1)

slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 4x+b

Substituting the point in

2 = 4(-1)+b

2 = -4+b

6 =b

y = 4x+6

standard form

Ax +by = c  where A is a positive integer and b and c are integers

y = 4x+6

Subtract 4x from each side

-4x+y = 6

Multiply by -1

4x -y = 6

Answer:

60

Step-by-step explanation:

so 4 of BC will make a AB, so AC =5 of BC =75

therefore BC=75/5=15

If BC=15 and AB=4*BC=4*15=60

Answer:

Step-by-step explanation:

the range are the y values so must be [4,-∞) because if you look at the y-axis the highest value is 4 and the lowest goes to -∞

Answer:

It would travel 320 miles in 8 hours

Step-by-step explanation:

200 divide by 5 equals 40

40 x 8= 320

Answer: 320 miles

You divide 200 from 5, which gives you 40. Then, you multiply 40 times 8, giving you 320.

p.s. I know someone already answered this question, but I just needed to respond to any kind of question.

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)

Answer:

1. 8x^3+6x^2+7

Step-by-step explanation:

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:

Line Segment EF passes through the center of the dilatation

Step-by-step explanation:

I just know...

Option (4) will be the correct option.

    Given in the question,

Option (1). E'F' is perpendicular to EF.

Since, center of dilation of ABCD is at E, E' will coincide point E.

Therefore, EF and E'F' can't be perpendicular.

Option (2). E'F' is parallel to EF.

Since, center of dilation of ABCD is at E, point E' will coincide point E.

Therefore, E'F' can't be parallel.

Option (3). E'F' intersects with point B'.

Since, center of dilation of ABCD is at E, EF will lie on E'F'.

Therefore, E'F' cant intersect point B'.

Option (4). E'F' passes through center of dilation.

Since, center of dilation of ABCD is at E, therefore, E'F' will pass through the center of dilation E.

  Therefore, Option (4) is the correct option.

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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:

Answer:

David makes $185 each week and Linda makes $175 each week, this  property of multiplication would be, Commutative.

Step-by-step explanation:

The amount David and Linda make together each week is $850.

17 x 25 = 25 x 17 is a commutative property of multiplication.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

David:

Amount made in one week.
= 17 x 25

= $425

Linda:

Amount made in one week.

= 25 x 17

= $425

Now,

17 x 25 = 25 x 17

This is a commutative property of multiplication.

Thus,

The amount made together in one week is $850.

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Answer:

z+11y/5 = x

Step-by-step explanation:

Since you are solving for x, you want to isolate the variable. You do that by adding 11y to both sides, which cancels out the -11y. From that you should have z+11y = 5x. To cancel out the 5x you need to divide both sides by 5 to get z+11y/5 = x. Hope this helps :)

Answer:

Step-by-step explanation:

[tex]P = \frac{x}{n}[/tex]

Cross Multiply

[tex]P\times n = x\\\\Pn = x\\\\x =Pn[/tex]

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.

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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.

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