2x - 8y = 16 and 3x - 2y = 19 How would I solve by substitution?

Answer:

8

Step-by-step explanation:

3x is a varable and -1 is an integer

Answer:

ΔASA ≅ ΔASA

Step-by-step explanation:

Answer:

a) 3, 6, 9, 12, 15,...,[tex]3\cdot n[/tex], b) 4, 7, 10, 13, 16,...,[tex]3\cdot n +1[/tex], c) Both sequences are arithmetic.

Step-by-step explanation:

a) The sequence of natural numbers which are multiplied by 3 are represented by the function [tex]f(n) = 3\cdot n[/tex], [tex]n\in \mathbb{N}[/tex]. Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...

b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function [tex]f(n) = 3\cdot n + 1[/tex], [tex]n\in \mathbb{N}[/tex]. Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...

c) Both sequences since differences between consecutive elements is constant. Let prove this statement:

(i) [tex]f(n) = 3\cdot n[/tex]

[tex]\Delta f = f(n+1) -f(n)[/tex]

[tex]\Delta f = 3\cdot (n+1) -3\cdot n[/tex]

[tex]\Delta f = 3[/tex]

(ii) [tex]f(n) = 3\cdot n +1[/tex]

[tex]\Delta f = f(n+1)-f(n)[/tex]

[tex]\Delta f = [3\cdot (n+1)+1]-(3\cdot n+1)[/tex]

[tex]\Delta f = 3[/tex]

Both sequences are arithmetic.

Answer:

[tex]Aaron=1188[/tex]

[tex]Beth=1782[/tex]

[tex]Charlie=2970[/tex]

Step-by-step explanation:

From the question we are told that

Ratio 6:9:15

Total amount to e shared N=£5940

Generally the Ratio can divide the Total amount mathematically as follows

Ratio

6:9:15/3=2:3:5

Sum of ratio

2+3+5=10

For Aaron

[tex]A=\frac{2}{10} *5940[/tex]

[tex]A=1188[/tex]

For Beth

[tex]B=\frac{3}{10} *5940[/tex]

[tex]B=1782[/tex]

For Charlie

[tex]C=\frac{2}{10} *5940[/tex]

[tex]C=2970[/tex]

Check answer

[tex]A+B+C=5940\\1188+1782+2970=5940[/tex]

Answer:

slope = - 2, point on line = (- 1, 3 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = - 2(x + 1) ← is in point- slope form

with slope m = - 2 and (a, b ) = (- 1, 3 )

The slope of equation y−3=−2(x+1) is -2.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

y−3=−2(x+1)

Using Slope- Intercept form

y= mx + b

So, the slope for the equation is -2.

Hence, the slope is -2.

Learn more about slope here:

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Answer: Water in the container = 87.75 cu.inches.

Step-by-step explanation:

Formula: Volume of rectangular prism = Base area x height

Base area = [tex]19\dfrac12[/tex] sq. inches    Height = [tex]4\dfrac12[/tex] inches

So,

Volume of container = [tex]19\dfrac12\times4\dfrac12\text{ cu.inches}[/tex]

[tex]=\dfrac{39}{2}\times\dfrac{9}{2}\text{ cu.inches}[/tex]

[tex]=\dfrac{351}{4}\text{ cu.inches}[/tex]

[tex]=87.75\text{ cu. inches}[/tex]

Hence, Water in the container = 87.75 cu.inches.

Answer:

y=4/5x-1 is the answer (A)

Step-by-step explanation:

Answer: Step-by-step explanation:

the first one would be your answer (y= 4/5x -1)

because the y intercept is -1 and the rise if 4 and run is 5 and that would be your slope.

The expression that represents Cindy's profit is $3.5b - $128.09.

Cindy's total profit is $30.82.

Profit is total revenue less total cost. Total revenue is the selling price per unit multiplied by the total units sold.

Profit = total revenue - total cost

($3.50b) - ($65.25 + $62.84)

$3.5b - $128.09

Profit for the first day = $3.5(24 + 15)  - $128.09

= ($3.5 x 39) - $128.09

= $136.50 - $128.09

=$8.41

Profit for the next day = $3.5(26 + 17)  - $128.09

= ($3.5 x 43) - $128.09

= $150.50 - $128.09

= $22.41

Total profit = $22.41 + $8.41 = $30.82

To learn more about profit, please check: https://brainly.com/question/26181966

Answer:

(a+9)(a-9)

Step-by-step explanation:

Both terms are perfect squares, use the difference of squares formula

a^2-b^2=(a+b)(a-b) where a=a and b=9

Answer:

Commision may be defined as a percentage cut which an employee, broker, vendor, retailer or other persons within a sale chain receive from an employer or production firm for selling a good or offering a successful service based on agreed terms by both parties. ;

$18700

Step-by-step explanation:

Given :

Commision pattern :

5% on first $200,000

6% on remaining amount

Amount of commission on $345000

0.05 * 200000 = 10,000

0.06 * (345000 - 200000) = 8700

Total commission :

10,000 + 8700 = 18,700

Answer:

91

Step-by-step explanation:

11*8=88 +3=91

Answer: The answer would be 91

Step-by-step explanation: since it's originally f(x)=11x+3 and x=8

then you plug in for X.

f(8)=11(8)+3=91

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Answer: 9 months.

Step-by-step explanation:

Simple interest = Principal x rate(in decimal)  x Time(in years)

Given: Principal = $15,000 , rate = [tex]5\dfrac12\%=\dfrac{11}{2}\%= 5.5\%= 0.055[/tex]

Interest =  $618.75

let t= time

Then,

[tex]618.75=15000\times 0.055\times t\\\\\Rightarrow\ t=\dfrac{618.75}{15000\times0.055}\\\\\Rightarrow\ t= 0.75\ or\ t=\dfrac34\ year[/tex]

1 year =12 months

[tex]\dfrac34\ year=\dfrac34\times12 = 9\ months[/tex]

Hence, it will take 9 months.

Answer:

1:5

5

125

2

Step-by-step explanation:

I'm not too sure how to explain this, if you have a question just ask

Answer:

5

Step-by-step explanation:

15/3=5

Answer:

4 liters

Step-by-step explanation:

simplify 2/6 = 1/3

Multiply 1/3 times the 12 bottles

1/3 * 12

12/3

Simplify

4

Answer:

4 liters of soda.

Step-by-step explanation:

2/6⋅12=24/6

24/6=4

Therefore, your answer is 4 liters.

Answer:

[tex]\displaystyle 9[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle 8 + (7 + 1)^2 \div 4 \cdot (\frac{1}{2})^4[/tex]

Step 2: Evaluate

Answer:

y = -8x - 8

Step-by-step explanation:

Add -8x on both sides to get -y = 8x + 8 and flip the y sign on the left to get your slope function which is y = - 8x - 8.

To graph the function, you would need to put (0, -8) as your y-intercept, and each unit will go down 8 units when you add 1.

Answer:

y=8x+8

Step-by-step explanation:

Just rewrite the problem so it's in y=mx+b format then it's easy to graph

Remember the y intercept is 8 because when x=0  y=8 and the slope is 8 so go up 8 and right 1

Answer:

55 is the answer I think so

Answer: 55

Step-by-step explanation:

Step One: Add: 2 + 3 = 5

Step Two: Multiple: 11 * the result of step No. 1 = 11 * 5 = 55

Answer:

1.   752/47=16

2.  375/25=15

3.  576/24=24

hope this helps!!:)

Step-by-step explanation:

1.

1. Find the Greatest Common Factor (GCF) of 752 which is 47 .

2. Divide both the numerator and the denominator by the GCF.

752/47

47/47

3. simplify

16

hope this helps!!:)

Answer:

5400

Step-by-step explanation:

you would measure the length and width. Multiply the length by the width to get the area, and add twice the length to twice the width to get the perimeter

x/9>12

x>12×9

x>108

This is your answer

Answer:

-5/6

Step-by-step explanation:

Using the slope formula we can easily find the slope

m=(y2-y1)/(x2-x1)

m=(-1-4)/(10-4)

m=-5/6

Answer:

164 degrees

Step-by-step explanation:

The measure of the individual internal angle in a polygon is;

(n-2)180/n

n = 22

So we have;

(22-2)180/22

= (20 * 180)/22

= 163.64 degrees

To the nearest whole number, this is 164

Answer: 8.9 m, 895 cm, 900 cm, 9.1 m, 0.0092 km, 12000 mm

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Explanation:

To be able to compare these various measurements, all of them must be the same unit. Let's convert each measurement to meters. If the measurement is already in meters, then we'll move onto the next measurement.

Here are some useful conversion factors

With those conversion factors in mind, we get the following conversions:

Here is the summary of the conversions:

The original list of

{900cm, 8.9m, 895cm, 9.1m, 12000mm, 0.0092km}

becomes this equivalent list

{9 m, 8.9 m, 8.95 m, 9.1 m, 12 m, 9.2 m}

in that exact order.

After converting everything to meters, we can then sort the values from smallest to largest. Doing so gets us this sorted list of

{8.9 m, 8.95 m, 9 m, 9.1 m, 9.2 m, 12 m}

Then you convert back each measurement to its original form

{8.9 m, 895 cm, 900 cm, 9.1 m, 0.0092 km, 12000 mm}

which is the final answer.

9514 1404 393

Answer:

  62°

Step-by-step explanation:

The measure of the external angle where the secants meet is half the difference of the arcs they subtend.

  ∠A = (DE - BC)/2

  2×∠A = DE -BC

  DE = BC + 2×∠A

  DE = 38° +2(12°)

  arc DE = 62°