2x + 8y = 22
8x - 8y = 8

Answers

Answer 1

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

2x + 8y = 22

8x - 8y = 8

Step 2: Solve for x

Elimination

Add 2 equations together:                    10x = 30Divide 10 on both sides:                         x = 3

Step 3: Solve for y

Define original equation:                    8x - 8y = 8Substitute in x:                                     8(3) - 8y = 8Multiply:                                                24 - 8y = 8Subtract 24 on both sides:                 -8y = -16Divide -8 on both sides:                      y = 2

Step 4: Graph systems

Check the systems.

2x + 8y = 22 8x - 8y = 8

Related Questions

A mathematical model that estimates the average atmospheric concentration of carbon​ dioxide, C, in parts per​ million, x years after 1950 is

Answers

Answer:

C = 306 +1.3x

Step-by-step explanation:

In 1950 the average atmospheric concentration of carbon dioxide was 306 parts per million with an estimated increase of 1.3 parts per million every single year. Therefore we can use these numbers to create the following mathematical model.

C = 306 +1.3x

This model multiplies the number of years after 1950 (x) by the estimated carbon dioxide increase per year in parts per million, and finally adds the initial atmospheric concentration of carbon dioxide from 1950 to calculate the current atmospheric concentration of carbon dioxide

Let C(t) be the amount of U.S. cash per capita in circulation at time 1. The table, supplied by the Treasury Department, gives values of C(t) as of June 30 of the specificd year. Interpret and estimate the value of C'(1980).

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

C'(t) was its time, in years, or t shift of cash per unit. That C'(1980) meaning, therefore, becomes the change of cashier's population to t = 1980.  

They could either use t = 1970 or t = 1990 to approximate the C'(1980) price. When using t = 1970:

[tex]C'(1980) = \frac{[C(1980) - C(1970)]}{[1980 - 1970]}\\\\[/tex]

              [tex]= \frac{(571 - 265)}{10}\\\\ = \$ \ 30.6 \\[/tex]

t = 1990:

[tex]C'(1980) = \frac{[C(1980) - C(1990)]}{[1980 - 1990]}[/tex]

              [tex]= \frac{(571 - 1063)}{ -10} \\\\= \$ \ 49.2[/tex]

the sum of four consecutive odd numbers is 48?

Answers

Answer:

The numbers are 9 + 11 + 13 + 15.

Step-by-step explanation: The equation for this is simple.

Take x as the smallest number of the 4 numbers. The second number would be x +2, third number is x+4, and the fourth number is x+6. you add these together, and you get: 4x +12 = 48, you then solve this as a linear equation. 48-12 = 36. Then you divide by 4, which gives you 9 as the smallest number of the 4 numbers. Remember that the second number is  9+2=11, third is 9+4=13, and the fourth is 9+6=15. If you add these together you get 9+11+13+15=48.

The following is a conversion table for hours and minutes. Which numbers belong in the hours column?

1, 2, 3
1, 2, 4
2, 3, 4
2, 5, 6

Answers

Answer:

Lesson 2 and metric conversions from Module 2. ... Problem 2: Convert hours to minutes. ... of minutes in one hour. How many minutes are in an hour? 0. 1. 2. 3. 4. 5. 6. 7. 8.

The complete table is given below. Then the correct option is C.

       Hours     Minutes

  2             120   3             180   4             240

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The following is a conversion table for hours and minutes.

We know that in one hour, there are 60 minutes.

In two hours, there are 120 minutes.

In three hours, there are 180 minutes.

Similarly, in four hours, there are 240 minutes.

Then the complete table is given below.

Hours     Minutes

  2             120

  3             180

  4             240

Then the correct option is C.

The complete question is given below.

The following is a conversion table for hours and minutes. Which numbers belong in the hour's column?

Hours        Minutes

                    120

                    180

                    240

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Completely factor the expression.

Answers

Answer:

x(8xsquare+6x-20)

Step-by-step explanation:

Answer:

[tex]x(2x+4)(4x-5)[/tex]

Step-by-step explanation:

[tex]x(8x^{2} +6x-20)\\x(2x+4)(4x-5)[/tex]

Six years ago Deki was P times as old as Benita was. If Deki is now 17 years old, how old is
Benita now in terms of P?
A. 11/P + 6
B. P/11 + 6
C. 17 - P/6
D. 17/P​

Answers

Answer:

A) 11/P + 6

Let Ben’s age now be B

Anita’s age now is A.

(A - 6) = P(B - 6)

But A is 17 and therefore 11 = P(B - 6)

11/P = B-6

(11/P) + 6 = B

please make as brainleylist

What is the measure of the largest angle in the
accompanying triangle?
(2X+1)
/(x+15)
х
1) 41
2) 46.5
3) 56
4) 83

Answers

Answer:

Number 4. 83

Answer:

83

Step-by-step explanation:

(2x+ 1 ) +(x+15)+x=180

4x+16=180

4x=164

x=41

Largest angle -2x+1

2(41)+1=83

PLEASE HELP!! GEOMETRY!!

Answers

=685.67Step-by-step explanation:

The time it takes to preform a task has a continuous uniform distribution between 43 min and 57 min. What is the the probability it takes between 52.3 and 54.7 min. Round to 4 decimal places.

Answers

Answer:

The values is  [tex]P(52.3 < X < 54.7 ) = 0.17142[/tex]

Step-by-step explanation:

From the question we are told that

  The lower limit of the interval is  a = 43 minutes

   The upper limit of the interval is  b  =  57 minutes

Generally the probability distribution function of  uniform distribution is mathematically represented as

          [tex]F(x) = \left \{ {{\frac{1}{(b - a)}\ \ \ for \ x \ \epsilon\ | a, b | } \atop {0 } \ \ \ \ \ \ otherwise} \right.[/tex]

Generally the probability it takes between 52.3 and 54.7 min is mathematically represented as

       [tex]P(52.3 < X < 54.7 ) = \int\limits^{52.4}_{54.7} {F(x)} \, dx[/tex]

=>  [tex]P(52.3 < X < 54.7 ) = \int\limits^{52.4}_{54.7} {\frac{1}{57- 43} } \, dx[/tex]

=>   [tex]P(52.3 < X < 54.7 ) = \int\limits^{52.4}_{54.7} {\frac{1}{14} } \, dx[/tex]

=>   [tex]P(52.3 < X < 54.7 ) = {\frac{1}{14} } \int\limits^{52.4}_{54.7} \, dx[/tex]

=>   [tex]P(52.3 < X < 54.7 ) = {\frac{1}{14} } [x] \ | \left 54.7} \atop {52.3}} \right.[/tex]

=>   [tex]P(52.3 < X < 54.7 ) = \frac{54.7 -52.3}{14}[/tex]

=>   [tex]P(52.3 < X < 54.7 ) = 0.17142[/tex]

Help me please and thank you

Answers

Answer:

b/-4+8=5
Multiply each side by 4
-b+32=20
Move the constant to the right
-b=20-32
-b=-12
Change the signs
b=12

A calculator is able to generate random numbers from the interval (0, 1). We need five random numbers from (0, 2/5). Using this calculator, how many independent random numbers should we generate, on average, to find the five numbers needed?

Answers

Answer:

12.5

Step-by-step explanation:

Using the negative binomial method, we can solve this question. Try defining the variable with parameters (r,p) with success probability p.

Hope this helped!

George bought 7,5 cases of pancake mix for his diner. A case contains 12 1.3-pound boxes. How many pounds of pancake mix did george buy?

Answers

Answer:

7.5 x 12 = 90 to find out how many boxes

Then take the boxes x 1.3 = 117 pounds

Answer:

Déjà Vu

Step-by-step explanation:

i ve been reading this test before

someone please help ;-; ​

Answers

So for A Write all numerators above the least common denominator Add the numbers
7
-
12

This is urgent please help!

Answers

Answer:

try the last one

Step-by-step explanation:

Find the simplified product 5/n+1 x n+1/n+3

Answers

5(n+1)/(n+1)(n+3)
Cancel out common factor
Final answer: 5/n+3

Answer: C) 5/n+3

Step-by-step explanation:

What’s the product of 1,243x8

Answers

Answer:

9944

Step-by-step explanation:

Calculator. Was there anything else you needed help on while I'm at it?

Answer:

9944

Explaination:

Typed it into a calculator

help me I'm desperate I'm begging you please I'm about to break down help​

Answers

because 10/9 is greater than one the product of 3 2/3 and 10/9 is greater than 3 2/3 :))

Rachel is buying lunch for herself and two friends . She has a coupon for $20 off the total bill. Rachel wants to spend less than $60. Write an inequality to find out the cost of the meal if they all order the same meal for lunch.

Answers

If C represents the cost of the meal then
3c - 20 < 60

Noah is thinking of two fractions that have a sum of 35. Each fraction has a numerator of 1.
What are the denominators of the fractions?

Answers

Answer:

2 and 10

Step-by-step explanation:

Purchased bed for $119.99 bought it at $71.99 the percent difference was 40% or $48.00. How to I write an equation that relates y discount cost to x original cost.

Answers

Answer:How was the question asked I bet I could figure it out if you told me that

Step-by-step explanation:

how much sugar is in a 1 l bottle of soda

Answers

Answer:

Step-by-step explanation:

It is about 52 grams of sugar in one bottle of soda.

Answer:

It contains a 108 grams of sugar

Find the slope of the line through the points (5, -3) and (5, 4)

Answers

Answer:

Infinity

Step-by-step explanation:

Let one point is x1, y1 (5, -3)

the other is x2, y2 (5,4)

then slope = (y1-y2)/(x1-x2)

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

=-7/0

=Infinity

So slop is infinite

Mike was training for a marathon. On his first day, he ran 2.45 kilometers. On the second day, he ran 3.8 kilometers. How far did he run altogether?

Answers

Answer:

6.25 kilometers

Step-by-step explanation:

2.45km + 3.8km

= 6.25km

Answer: 6.25 Kilometers

Step-by-step explanation:

First, take 2.45 Kilometers from day one

Then take 3.8 Kilometers from day two

Now add them together for the result of

6.25 Kilometers

Help me out plz. Struggling :( 5 and 4

Answers

Answer:

#5 = $676.40

#6 = $522.50

Step-by-step explanation:

Lets start with number 5.

Marla earns $17.80 per hour. If she works 38 hours a week she will earn $(17.80*38) per week which is $676.40 per week

Now for number 6

He earns $11.00 an hour for a 40 hour work week. If he gets paid 1.5 that (1.5 his normal rate) for overtime and he has 45 hours vs his 40 hours, heres how we solve:

Solve for his pay on a normal week:

11 * 40 = 440 a week on a normal week

Find out how much overtime

45-40 = 5 hours

Calculate the pay for the overtime

(11*1.5) x 5 =

16.50 x 5 = 82.5

Add the two pays together

440 + 82.50 = $522.50

also #4 is not provided to me to solve so if you want it solved update this question to include it

Hope this helps :)

PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.

Evaluate.

(−2)^6

Enter your answer in the box.

Answers

Answer:

-64

Step-by-step explanation:

I used a calculator lol.

The correct answer is 64
(-2)^6 take out the negative sign( you can't raise the exponent of a negative number)
2^6

2x2=4, 4x2=8, 8x2=16, 16x2= 32, and 32x2=64

Hope this helps :D

Which congruence theorem can be used to prove △BDA ≅ △DBC?

Triangles B D A and D B C share side D B. Angles C B D and A D B are right angles. Sides C D and B A are congruent.

HL
SAS
AAS
SSS

Answers

Answer:

HL

Step-by-step explanation:

The triangles share a congruent hypotenuse as well as one side. This qualifies for the Hypotenuse leg theorem.

Answer:

A: HL

Step-by-step explanation:

Answer right and I’ll give you brainliest

Answers

You divide x by y to get the rate of change

Halla una razón equivalente para formar una proporción 17
----
19​

Answers

Answer:

85:95 I did the math

Answer it pleaseee!!!

Answers

Answer:

.

Step-by-step explanation:

.

Which expression represents the phrase below?
The product of 15 and the quantity 12 less than a number.
a. (15 x 12) - a
b. 15(a - 12)
c. 15+ (12-a)
d. 12a * 15

Answers

The answer is (15*12) -a

Answer:

Answer C

Step-by-step explanation:

the product of 15 and the quantity 12 less than a number

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