Solve the simultaneous equations:

3a-2b=14
12a+9b=39

Answers

Answer 1
Use elimination
Multiply first equation by 4
12a - 8b = 56
12a + 9b = 39
Subtract both
-17b = 17
b = -1
Plug in -1 for b
3a - 2(-1) = 14
3a = 12, a = 4
Final answer: a = 4, b = -1

Related Questions

Find the geometric mean of 3 and 48.

Answers

Answer:

12

Step-by-step explanation:

In order for two figures to be considered similar, which of the following MUST be true? (Check all that apply) There is more than one answer.


Corresponding sides are proportional


Corresponding sides are congruent


The shapes are exactly the same in side length and angle measure


Corresponding angles are congruent

Answers

Answer:

According to me all the options are correct

The answers are A and D

1. So far, Marta has correctly predicted the winner of 6 out of 13 football games. She wants to know how many consecutive games she would have to predict correctly to raise the percent of correct predictions to 65%. (a) Write an equation to represent this situation. (3 points) (b) Solve the equation. Show all steps. (5 points) (c) Answer the question. How many consecutive games must she predict correctly to raise her percent to 65%? (1 point)

Answers

Answer:

[(6 + x) / 13+x] = 0.65

7

Step-by-step explanation:

Given that:

Total number of games = 13

Number of correct prediction = 6

Number of correct predictions needed to raise prediction % to 65%

(Number of correct predictions) / (total number of games) = 0.65

Let x = number of additional consecutive correct predictions

[(6 + x) / 13+x] = 0.65

Where x = number of consecutive predictions required

6 + x = (13 + x) * 0.65

6 + x = 8.45 + 0.65x

x - 0.65x = 8.45 - 6

0.35x = 2.45

x = 2.45 / 0.35

x = 7

7 consecutive correct predictions

Find the slope of the line passing through the points (9,3) and (9,-5).

Answers

Answer: its 8

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

Math Trick
43 x 67 = ?

Answers

Answer:2881

Step-by-step explanation:

Answer:

2881

Step-by-step explanation:

If Gabe's Soccer Ball Company is able, due to competitive pressure, to charge $60 for a new soccer ball, while one soccer ball costs $28 to make, plus $15,000 per month in overhead costs (mostly Gabe's extravagant salary) find: a. The average cost c(x) of producing each soccer ball b. Algebraically find the number of soccer balls Gabe's company must produce per month in order to break even (Profit = 0). Profit = Total Revenue – Total Cost c. Algebraically find the number of soccer balls Gabe's company must make to earn a profit of $10,000 per month. d. If Gabe took a pay cut to reduce the overhead costs to $8,000 per month, how many fewer balls would the company have to sell to break even. (There are multiple ways to get this result).

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Selling price= $60

Unitary variable cost= $28

Fixed costs= $15,000

First, we need to calculate the average total cost:

Average cost= total cost / number of units

For example, for 1 unit and 10,000 units:

1 unit:

Average cost= 15,028/1 = 15,028

10,000 units:

Average cost= (15,000 + 28*10,000) / 10,000

Average cost= $29.5

Now, we can calculate the break-even point in units:

0= (60*x) - (28*x) - 15,000

x= number of units to break-even

0= 32x - 15,000

15,000/32= x

468.75=x

break-even point in units= 469

For the desired profit of $10,000:

10,000 = (60*x) - (28*x) - 15,000

25,000= 32x

781.25= x

Break-even point= 782 units

Finally, fixed costs dropped by $8,000:

0= 32x - 7,000

x= 7,000/32

x= 218.75

Break-even point= 219

Difference= 250 units

Describe the set of all complex numbers that are at a distance of 2 units from the origin.

Answers

Answer:

The description of the set is [tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex].

Step-by-step explanation:

From Complex Analysis, we remember that complex numbers are numbers whose form is:

[tex]s = a+i\, b[/tex], [tex]a,b \in \mathbb{R}[/tex] (1)

Where [tex]i = \sqrt{-1}[/tex].

In addition, the distance from the origin is defined by the following Pythagorean identity:

[tex]\|s\| = \sqrt{a^{2}+b^{2}}[/tex] (2)

The following condition must be satisfied:

[tex]\|s\| = 2[/tex]

Then, the set of all complex numbers that are at a distance of 2 units from the origin is described below:

[tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex] (3)

The set of all complex numbers that are at a distance of 2 units from the origin is [tex]\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]

A complex number, written in rectangular form is

[tex]z=a+ib\\a,b\in \mathbb{R}[/tex]

The distance of a complex number from the origin (the modulus of the complex number, denoted by [tex]|z|[/tex]) is given by the formula

[tex]|z|=\sqrt{a^2+b^2}[/tex]

Since we want all the complex numbers to be at the distance of 2 units from the origin, they must satisfy

[tex]|z|=2[/tex]

thus, the set we are looking for is

[tex]D=\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]

where [tex]\mathbb{C}[/tex] is the set of all complex numbers

Learn more about complex numbers here: https://brainly.com/question/12274048

5(x - 6) + 2 = 7x - 8
what is x

Answers

Answer:

x = -10

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties

Distributive

Step-by-step explanation:

Step 1: Define equation

5(x - 6) + 2 = 7x - 8

Step 2: Solve for x

Distribute 5:                              5x - 30 + 2 = 7x - 8Subtract 5x on both sides:       -30 + 2 = 2x - 8Add:                                           -28 = 2x - 8Add 8 on both sides:                -20 = 2xDivide 2 on both sides:             -10 = xRewrite:                                      x = -10

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                         5(-10 - 6) + 2 = 7(-10) - 8Subtract:                            5(-16) + 2 = 7(-10) - 8Multiply:                             -80 + 2 = -70 - 8Add/Subtract:                    -78 = -78
5(x-6)=7x-8-2
5(x-6)=7x-10
5x-6*5=7x-10
5x-30=7x-10
5x-7x=-10+30
-2x=20
x=20/-2
x=-10

which is closer to 0 3/8 or -1/3

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

3/8 = 9/24

1/3 = 8/24

-1/3 is closer to 0

3/8 is farther from 0

Jack has 27 pencils. Shane has 3 more than twice the amount that Jack has. Which equation shows the relationship between the number of pencils Jack (j) has and the number of pencils Shane (s) has?

Answers

Answer:

s=27*2+3

rrefrewhtefghttrfdgh

Sara borrows $56 from her mother to buy a new pair of jeans. If
Sara decreases her debt by $4 each week, how many weeks will
it take her to pay off the whole amount she owes her mother?

Answers

Answer:

Have an amazing night/day!

Step-by-step explanation:

14 i think ill edit if im wrong

What is 1232456 * 789456? I will mark brainliest!!

Answers

Answer:

972,969,793,936

Step-by-step explanation:

972,969,793,936 is the answer when the numbers and multiplied.

You have to multiply according to the different places you put the numbers in.

Hope this helped,

Kavitha Banarjee

anserw

789101112

Step-by-step explanation:

Frank bought 5 pounds of dog food for 8.75. At this rate how much would he pay for 8 pounds

Answers

$14

you need to set up a preportion

if 5 lbs costs 8.75 then we need to figure out how much 8 lbs cost, obviously lol.

anyways what ya finna do is make a fraction

5                  8

---        =      ----

8.75             x

then u cross multiply. 8 x 8.75 = 70

70 = 5x

x= $14

The cost y (in dollars) to spend an evening bowling is proportional to the
number of games x that are bowled.
It costs $16 to bowl 4 games.
5. Write an equation that represents the situation.
6. How much does it cost in dollars) to bowl 6 games?

Answers

Answer:

y = 4x

Bowl 6 games cost $24

Step-by-step explanation:

Proportional Relationship

We have a situation where the cost y in dollars to spend an evening bowling is proportional to the number of games x bowled.

A proportional relationship is written with the equation:

y = k.x

The value of k will be determined by using the given information: 4 games bowled cost $16, thus:

16 = k.(4) = 4k

Solving:

k = 16 / 4 =4

Thus, the function is:

y = 4x

x=6 games bowled cost:

y = 4*6

y = $24

Bowl 6 games cost $24

Sam has a total of 43 quarters and nickels in her purse. If her change is worth $7.75, how many nickels and how many quarters does Sam have?
Warning: This is Algebra 1

Answers

Answer:

i need help with this too\

Step-by-step explanation:

Let q= the number of quarters
Let n=the number of nickels

q+n=43 This equations represents the total number of coins.
0.25q+0.05n=7.75 This equations represents her change totaling to $7.75.

Multiply the second equation by 100 to simplify the arithmetic.

q+n=43
25q+5n=775 Multiply the first equation by -5.

-5q-5n=-215
25q+5n=775 Add the two equation in which the n variable gets eliminated.
20q=560 Divide both sides by 20.

q=28 Substitute q=28 into the first equation and solve for n.
28+n=43
-28 -28
n=15 Therefore, she has 28 quarters and 15 nickels in her purse.

Hope this helps.

Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?

Answers

Answer:

$15.75

Step-by-step explanation:

30 multiplied by 0.3 is 9. 30-9 is 21. 21 multiplied by 0.25 is 5.25. 21-5.25 is 15.75

Which diagram can be used to prove △ABC ~ △DEC using similarity transformations?

Triangle A B C is rotated about point C and then is dilated to form smaller triangle C E D.
Triangle A B C is reflected across side A C and then is dilated to form smaller triangle C E D.
Triangles A B C and C E D have different angle measures.
Right triangle A B C is shown. Line segment D E is drawn near point C to form triangle D E C.

Answers

Answer:

A

Step-by-step explanation:

I like math

Answer:

Answer is A

Step-by-step explanation:

edge2021

Rosa picked some peaches from one tree,
and then she picked 8 peaches from a
different tree.
She gave 10 peaches to Sten.
She has 12 peaches left.
How many peaches did Rosa pick from the
first tree?

Answers

Answer:

points

Step-by-step explanation:

She picked 22 peaches first

Help me please be correct tysm <3

Answers

Answer:

the answer is yes  

because it is within the shaded region of both inequalities

the answer is yes! hope this helps <3.

17y-5x+8=9 in standard form?

Answers

Answer:

-5X + 17Y -1 A = -5X B = 17Y. C = -1

Step-by-step explanation:

follow me say a thanks mark me branliest

The equation of a line 17y - 5x + 8 = 9  in standard form

is - 5x + 17y - 1 = 0.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, 17y - 5x + 8 = 9 we have to convert in standard form Ax + By + c = 0.

∴  17y - 5x + 8 = 9.

- 5x + 17y - 1 = 0.

So, A = - 5, B = 17 and, c = - 1.

learn more about lines here :

https://brainly.com/question/17188072

#SPJ2

Is the following relation a function?
Х
y
-2
1
0
3
5
.5
7
8
No
Yes

Answers

No it’s not a function

Answer:

Yes, its a function

Step-by-step explanation:

Pls give me the answer to this geometry problem smart people

Answers

Answer:

25

Step-by-step explanation:

Since it is a rhombus all the parallel lines are always divided by half at the intersection. Basically divide 50 by 2 because QN=50 and QS is half of that

Which equation represents a line which is parallel to x = 0?
helppp pleaseee

Answers

Answer:

Y = x

Step-by-step explanation:

Answer:

The right answer is y=-7

Hope this helps :3

Step-by-step explanation:

please help me out with this question.
much appreciation. Thanks.​

Answers

Answer:

there is nothing

Step-by-step explanation:

What are the solutions to the equation? x2(x+2)(x+6)=0

Answers

Answer:

x1 = -6, x2 = -2

Step-by-step explanation:

hope this helps :)

For the equation 3(2x − 5) = 6x + k, which value of k will create an equation with infinitely many solutions?

Answers

Answer: K = -14

Step-by-step explanation: solve for k by simplifying both sides of the equation then isolating the variable

Answer:

the correct answer is -15 for the equation:

3(2x − 5) = 6x + k

Hope this helped!

3g-2+7g+8=
What is this

Answers

Answer:

10g+6 is the answer

Step-by-step explanation:

Please help me! Im not good at this topic.

Answers

Answer:

I THINK IT IS C.

Step-by-step explanation:

Evaluate the expression | 9 | + | - 2|

Answers

Answer: 11

Step-by-step explanation:

|9| + |-2| =

9 + 2 = 11

Answer:11Hope this helps!!

A jeweler has 36 inches of sliver chain. She needs 5 times that much to make some necklaces. How much sliver chain does the jeweler need to make her necklaces?

Answers

Answer:

180 inches

Step-by-step explanation:

36x5= 180

Answer:

if she already has 36 inches and we are tying to find how much she need we need to take that 5 and multiple it to the 36 because the word TIMES means to multiple so 36x5= 180. so your answer will be she will need 180 in (since that is the measurement we are using)

Step-by-step explanation:

Other Questions
Why do some parents in Japan hang fish-shaped streamers outside their homes to celebrate their sons progress?A) The streamers are in the shape of a carp, a fish that stands for energy and determination.B) Many special foods are served at the celebration, including fish.C) The streamers are in the shape of a carp, a fish known for beautiful golden scales.D)Many Japanese children keep small pets, including fish. Which of the following are runtime exceptions? Select all that apply.Select one or more:a. NullPointerExceptionb. IllegalArgumentExceptionc. ArithmeticExceptiond. IndexOutOfBoundsException Louis and Max are contestants in a jellybean-eating contest. Louis eats 18 jellybeansin 30 seconds. Max eats 24 jellybeans in 40 seconds. Why are Punnet squares specific to each offspring?PLEASE HELP. I WILL GIVE BRAINLIEST AND A LOT OF POINTS. 3 - 10 = a + 20How do you do this help please it will mean a lot The cost y (in dollars) to spend an evening bowling is proportional to thenumber of games x that are bowled.It costs $16 to bowl 4 games.5. Write an equation that represents the situation.6. How much does it cost in dollars) to bowl 6 games? Rosa picked some peaches from one tree,and then she picked 8 peaches from adifferent tree.She gave 10 peaches to Sten.She has 12 peaches left.How many peaches did Rosa pick from thefirst tree? Which of the following would you get from playing too much tennis?A. Cerebral PalsyB. Muscular DystrophyC. TendonitisD. ALS please help me out with this question.much appreciation. Thanks. (5)Mean of given data 2,3,4 will be What is the approximate value of x? Round to the nearest tenth What is 1232456 * 789456? I will mark brainliest!! HELP WILL MARK BRAINLIEST Read the incomplete line of poetry, and complete the lineusing iambic pentameter. His art inspiresa. brilliance from all peopleb. kindness despite circumstancec. the melodies of young heartsd. the song within my soul When making an intaglio print, ________________ a. ink is added to the raised areas. b. the images outline is always created with a gouge. c. ink is added to the engraved grooves. d. the image is cut into a synthetic surface known as linoleum. Which of the following is strenuous?Atraining for an athletic competitionBsharing a candy bar with a friendCreading an exciting mysteryDforgetting to complete your homework How long does it take for light to travel 1m? and a 1mm? HURRY PLS what was the first successful english establishment (town) in north america?? divde the following sentence into different parts. Srijana will be reading a story Sara borrows $56 from her mother to buy a new pair of jeans. IfSara decreases her debt by $4 each week, how many weeks willit take her to pay off the whole amount she owes her mother? What is the image of -1,-4 after a reflection over the x axis