determine whether the systems have one solution, no solution, or infinitely many solutions


3x-2y=3;6x-4y=1


3x-5y=8;5x-3y=2


3x 2y=8;4x 3y=1


3x-6y=3;2x-4y=2


3x-4y=2;6x-8y=1

Answers

Answer 1

Answer:

First system: no solution

Second system: one solution

Third system: one solution

Fourth system: infinite solutions

Fifth system: no solution

Step-by-step explanation:

First system: 3x-2y=3; 6x-4y=1

From the first equation: y = (3x - 3)/2

Using this value of y in the second equation:

6x - 6x + 6 = 1

6 = 1 -> System has no solution

Second system: 3x-5y=8; 5x-3y=2

From the first equation: x = (8 + 5y)/3

Using this value of x in the second equation:

5*(8 + 5y) - 9y = 6

40 + 25y - 9y = 6

16y = -34 -> y = -2.125

x = (8 - 5*2.125)/3 = -0.875

This system has one solution

Third system: 3x-2y=8; 4x-3y=1

 From the first equation: x = (8 + 2y)/3

Using this value of x in the second equation:

4*(8 + 2y) - 9y = 3

32 + 8y - 9y = 6

y = 26

x = (8 + 2*26)/3 = 20

This system has one solution

Fourth system: 3x-6y=3; 2x-4y=2

  From the first equation: x = 1 + 2y

Using this value of x in the second equation:

2*(1 + 2y) - 4y = 2

2 + 4y - 4y = 2

2 = 2

This system has infinite solutions

Fifth system: 3x-4y=2; 6x-8y=1

  From the first equation: x = (2 + 4y)/3

Using this value of x in the second equation:

2*(2 + 4y) - 8y = 1

4 + 8y - 8y = 2

4 = 2

This system has no solution


Related Questions

Misty correctly determined the equation of the linear function represented by the table of values below to be in slope-intercept form by using the ordered pairs (1, 7) and (2, 5). x y 1 7 2 5 3 3 4 1 What would she have gotten for the equation of the linear function if she had used the ordered pairs (2, 5) and (4, 1) instead?

Answers

Answer:

y=-2x+9

Step-by-step explanation:

What is one value that makes the fraction (x^2 + 11x +30)/(4x + 44x^2 + 120x) Undefined?

Answers

Answer:

-31/11

Step-by-step explanation:

To get the value they makes the fraction undefined, we shall need to equate the denominator to zero

Hence;

4x + 44x^2 + 120x

Divide through be x

4 + 44x + 120 = 0

44x = -124

x = -124/44

x = -62/22

x = -31/11

lola rode her bike for 7/10 of an hour on Saturday, and 3/5 of an hour on Sunday.
How much longer did she ride her bike on Saturday and Sunday?

Answers

Answer:

She rode 1/10 of an hour more on Saturday

Step-by-step explanation:

Take the time she rode on Sunday and subtract that from Saturday

7/10 - 3/5

Get a common denominator

7/10 - 3/5*2/2

7/10 - 6/10

1/10

She rode 1/10 of an hour more on Saturday

What is the lcm of 150 and 180

Answers

Answer:

900

Step-by-step explanation:

multiply 2x2x3x3x5x5

4x9x25 which is 900

A bakery sold three kinds of muffins on Monday. The ratio of cranberry to blueberry muffins sold was 2:3. The ratio of blueberry to cinnamon muffins sold was 4:1. If 60 blueberry muffins were sold on Monday, how many more cranberry muffins than cinnamon muffins did the bakery sell?

Answers

Answer:

total cinnamon sold = 15

total cranberry sold = 40

so, according to the question

cranberry - cinnamon muffin

40-15

25

Hence, 25 cranberry muffins were sold more than cinnamon muffins.

The bakery sold 25 more cranberry muffins than cinnamon muffins on Monday.

What is an expression?

An expression is a mathematical phrase that can contain variables, constants, and mathematical operations, but does not have an equals sign. Expressions are used to represent mathematical relationships and to evaluate numerical values.

Let's start by using the given ratios to determine the number of cranberry and cinnamon muffins sold on Monday.

We know that the ratio of cranberry to blueberry muffins sold was 2:3, which means that for every 2 cranberry muffins sold, 3 blueberry muffins were sold. We also know that the ratio of blueberry to cinnamon muffins sold was 4:1, which means that for every 4 blueberry muffins sold, 1 cinnamon muffin was sold.

Since we know that 60 blueberry muffins were sold on Monday, we can use the ratio of cranberry to blueberry muffins sold to find the number of cranberry muffins sold:

2/3 = x/60

Where x is the number of cranberry muffins sold.

Multiplying both sides of the equation by 60, we get:

2/3 * 60 = x

Simplifying, we get:

x = 40

So, 40 cranberry muffins were sold on Monday.

Now, using the ratio of blueberry to cinnamon muffins sold, we can find the number of cinnamon muffins sold:

4/1 = 60/y

Where y is the number of cinnamon muffins sold.

Multiplying both sides of the equation by y, we get:

4y = 60

Dividing both sides of the equation by 4, we get:

y = 15

So, 15 cinnamon muffins were sold on Monday.

Finally, to answer the question, we need to find the difference between the number of cranberry muffins sold and the number of cinnamon muffins sold:

40 - 15 = 25

Therefore, the bakery sold 25 more cranberry muffins than cinnamon muffins on Monday.

To know more about an expression follow

https://brainly.com/question/16790323

#SPJ2

Please help me

What is the sum of the series?
Enter your answer in the box.

Answers

Answer:

the sum of the series is 365 is my answer

PLEASE HELP ME WITH THIS FAST FOR BRAINLIEST!

Answers

Answer:

Correct answer = 20 miles

Step-by-step explanation:

The mistake she made was that she made was that she  multiplied the amount with 3 instead of dividing it.

The incorrect way -

$60 = 3 × 60 = 90 (Her multiplication is also incorrect as 3 × 60 = 180)

Corrected method -

$60 = [tex]\frac{60}{3}[/tex] = 20 miles

Hope you understood. Please mark my answer as the brainliest.

match the expressions 21/25 60% 13/20 84% 2/5 75% 65% 3/4 3/5

Answers

Answer:

21/25 ---> 84%

13/20 ---> 65%

3/5 ---> 60%

3/4 --->75%

2/5 ---> 40%

Can someone help meee!

Answers

Answer:

X intercept = 4

Y intercept = -4

Step-by-step explanation:

X-intercept is when the graph crosses the X-axis or where the y is 0 for a X value. Here the (4,0) is where Y is 0 for a given x value and you see the graph crosses it on X-axis thus X intercept is 4.

Y-intercept is when the graph crosses the Y-axis or where the x is 0 for a Y value. Here the (0,-4) is where X is 0 for a given Y value and you see the graph crosses it on Y-axis thus Y intercept is -4.

The quotient of a number and -5 has a result of 2. What is the number?
n =
Plz help

Answers

Answer:

n / -5 = 2

n = - 10

For lunch, Jack ate 1/4 of a pizza, which was twice as much as John ate. If Timmy ate 1/6 of a pizza more than the amount that Jack and John ate combined, then what fraction of a pizza did Timmy eat?

Answers

Answer:

Timmy ate 13/24 of the pizza.

Step-by-step explanation:

To solve this problem, first you need to know how much pizza Jack and John ate. We know that Jack ate 1/4 of the pizza, and that John ate half of that, so we know that John ate 1/8 of the pizza. Together, Jack and John ate (1/4 + 1/8), which equals 3/8 of a pizza. Next, we need to find how much of the pizza Timmy ate. We know that he has eaten 1/6 more of the pizza than Jack and John combined, so that would be 1/6 more than 3/8. To add 1/6 to 3/8, we need to have a common denominator. The lowest common denominator would be 24, so you would have 4/24 + 9/24. That equals 13/24, so we know that Timmy ate 13/24 of the pizza.

Help. Summer school math please.

Answers

Answer:

y = 3x

where y is the plant height in cm and x is the time in months

at 12 months, height would be 36 cm

Step-by-step explanation:

Here, we want to model the data

let’s call the months x and the height y

What do you notice?

we can clearly see that the height is always 3 times the month

3 * 3 = 9

5 * 3 = 15

7 * 3 = 21

9 * 3 = 27

so we can say that;

Time in months * 3 = Plant height in cm

using the x and y notation;

x * 3 = y

or simply y = 3x

Now the height at 12 months can be calculated by substituting the value of x for 12

y = 3 * 12 = 36 cm

Find the midpoint between the two points of the line in the image below.

Answers

Answer:

the answer is ( 2 , 1 ) I hope thus helps

Answer:

(2,1)

Step-by-step explanation:

Average the x values and the y values out

A circle , with centre O , radius 6cm has chords AB and CD which intersects at x . Find OX , if AX = 3cm and XB = 2cm​

Answers

Answer:

OX = 5.4772 cm

Step-by-step explanation:

Please check image attached for the drawing of the circle with the chords and points.

From the theorem of intersecting chords, we have:

AE * EB = EF * EG

With AE = AX - EX, EB = BX + EX, EF = 6 - EO and EG = 6 + EO, we have:

(AX - EX) * (BX + EX) = (6 - EO) * (6 + EO)

(3 - EX) * (2 + EX) = 36 - EO^2

6 + EX - EX^2 = 36 - EO^2

EO^2 - EX^2 + EX = 30 (eq1)

From the triangle AEO, we have:

AE^2 + EO^2 = OA^2

(AX - EX)^2 + EO^2 = 6^2

(3 - EX)^2 + EO^2 = 36

9 - 6*EX + EX^2 + EO^2 = 36

EX^2 - 6*EX + EO^2 = 27 (eq2)

If we do (eq1) - (eq2), we have:

-2*EX^2 + 7*EX = 3

2*EX^2 - 7*EX + 3 = 0

Solving this quadratic equation, we have EX = 3 cm or EX = 0.5 cm

EX cannot be 3 cm, because AE would be 0 cm, so EX = 0.5 cm

Calculating EO, we have:

EO^2 - 0.5^2 + 0.5 = 30

EO^2 = 29.75

EO = 5.4544 cm

Now, using Pythagoras in the triangle EOX, we have:

EO^2 + EX^2 = OX^2

29.75 + 0.25 = OX^2

OX^2 = 30

OX = 5.4772 cm

I need to know the answer for the picture

Answers

Answer:

a = 2

Step-by-step explanation:

We can use cross products to solve

8         a

----- = -------

28        7

8*7 = 28*a

Divide each side by 28

56/28 = 28a/28

2 =a

Answer:

2

Step-by-step explanation:

Given:  

    8         a

 ------- = ------   Find the value of a that makes this equation true.  

   28        7

  Cross multiplying, we get 28a  =  56, and so a works out to 2.

Check:  Does 8/28 = 2/7?  Yes.

The number of calories in 5 cups of yogurt is 750. What proportion can you set up to determine the number of calories,c, in 9 cups of yogurt

Answers

Answer:

5 9

----- = ------

750 x

Step-by-step explanation:

Answer:

750 / 5  = c / 9

Step-by-step explanation:

Can someone please help me. I need help on the 5 one

Answers

Answer:

The second option

Step-by-step explanation:

On the right hand side you have all the multiples of 4, on the left hand side you have 5

The multiples of four are ...,-8,-4,0,4,8,....

so the simbol that means that 5 is not an element of the multiples of four is the second option.

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

1 A

2 A

Step-by-step explanation:

1. steps can be positive whole numbers only

2. there is 15 steps

Solve the inequality.
2(4+2x)>5x+5
O x5-2
O X2-2
x33
O X23

Answers

Step-by-step explanation:

8 + 4x > 5x + 5

8 - 5 > 5x - 4x

3 > x

The solution to the system of equation is x < 3

Inequality expression

Given the inequality expression 2(4+2x)>5x+5

Expand the inequality

2(4+2x)>5x+5

8 + 4x > 5x + 5

Collect the like terms

4x - 5x > 5 -8

-x > -3

x < 3

Hence the solution to the system of equation is x < 3

Learn more on inequality here: https://brainly.com/question/24372553

The solution set for -p2 − 11p = 0 is { }. (Separate the solutions with a comma.)

Answers

Answer:

0,-11

Step-by-step explanation:

-p^2 − 11p = 0

Factor out -p

-p( p+11) =0

Using the zero product property

-p =0    p+11 =0

p =0      p = -11

A^5 divided a^3 simplified

Answers

Answer:

[tex] {a}^{2} [/tex]

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \frac{ {a}^{5} }{ {a}^{3} } \\ = {a}^{5 - 3} \\ = {a}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Hey!!

The answer is a^2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

help me please !!!!!!

Answers

Answer:

256 ft^250 ft^225 ft^2281 ft^2

Step-by-step explanation:

Prism Area

The total surface area of a rectangular prism is given by ...

  SA = 2(LW +H(L +W))

For L = 12 ft, W = 5 ft, H = 4 ft, the surface area is ...

  SA = 2((12 ft)(5 ft) +(4 ft)(12 ft +5 ft)) = 2(60 ft^2 +(4 ft)(17 ft))

  = 2(60 ft^2 +68 ft^2) = 256 ft^2 . . . blank 1

__

Pyramid Lateral Area

The lateral area of the pyramid is 4 times the area of one triangular face:

  LA = 4(1/2)bh = 2(5 ft)(5 ft) = 50 ft^2 . . . blank 2

__

Pyramid Base Area

The area of the square base of the pyramid is the square of the length of one edge:

  B = (5 ft)^2 = 25 ft^2 . . . blank 3

__

Total Exposed Area

The exposed area of the prism is its area less that of the base of the pyramid. The total exposed area is the sum of prism exposed area and lateral area of the pyramid.

  total exposed area = (exposed prism area) + (pyramid lateral area)

  = (prism area) - (pyramid base area) + (pyramid lateral area)

  = 256 ft^2 - 25 ft^2 + 50 ft^2

  total exposed area = 281 ft^2 . . . blank 4

What decrease the probability of something happening?

Answers

Answer:

When you add more to your sample space.

Imagine you have a 6-sided dice and you change it to a 10-sided dice. Your possibilities of getting any number (excluding 7, 8, 9, 10), just went from 16.67% to 10%.

Select the correct answer from each drop-down menu.

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.




Use the given expression to complete the statements below.


The expression is the of the amount initially deposited and the of one and the rate of increase raised to the number of.


The choices are for 1 are sum, quotient, square, product. Choices for 2 is quotient, sum, product, difference. Choices for 3 are compounding periods, months, years.

Answers

Complete Question:

sierrac3000

06/28/2019

Select the correct answer from each drop-down menu.

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.

250(1+0.018/2)^2t

Use the given expression to complete the statements below.

The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*

1st Blank:

Product

Sum

Quotient

Square

2nd Blank:

Quotient

Product

Difference

Sum

3rd Blank:

Compounding Periods

Years

Months

Answer:

1st blank = product

2nd blank = sum

3rd blank = years

Step-by-step explanation:

The expression given above is :

250(1+0.018/2)^2t

The expression can thus be explained as:

The *product* of the amount initially deposited and the *sum* of one and the rate of increase raised to the number of *years*

help me find AD in degrees

Answers

Answer:

43°

Step-by-step explanation:

In circle with center P, AB is diameter. Hence, [tex] \widehat{ACB} [/tex] is a semicircular arc.

[tex] \therefore \widehat{ACB}= 180\degree.... (1)\\

\because \widehat{ACB}= \widehat{AD} + \widehat{DC}+ \widehat{CB}.... (2)\\

From\: (1)\: \&\: (2)\\

\widehat{AD} + \widehat{DC}+ \widehat{CB} = 180\degree \\

\therefore (7x + 1)\degree + 90\degree + (9x-7)\degree = 180\degree \\

\therefore (16x - 6)\degree = 180\degree- 90\degree\\

\therefore (16x - 6)\degree = 90\degree\\

\therefore 16x - 6 = 90\\

\therefore 16x = 90 +6\\

\therefore 16x = 96\\\\

\therefore x = \frac{96}{16}\\\\

\huge \red {\boxed {\therefore x = 6}} \\

\therefore \widehat{AD} = (7x+1)\degree \\

\therefore \widehat{AD} = (7\times 6+1)\degree \\

\therefore \widehat{AD} = (42+1)\degree \\

\huge \orange {\boxed {\therefore \widehat{AD} = 43\degree}} \\

[/tex]


PLZZ HELP!!!!!!
Solve the equation, justify each step with an algebraic property: -2 = x + 28 *

x = -26, Subtraction Property of Equality
x = -30, Addition Property of Equality
x = -14, Division Property of Equality
x = -30, Subtraction Property of Equality

Answers

Answer:

The answer is [tex]x = - 30[/tex], by using the Subtraction Property of Equality.

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]-2 = x + 28[/tex]

Turn the equation over:

[tex]x + 28 = -2[/tex]

-Subtract both sides by [tex]28[/tex] by using Subtraction Property of Equality:

[tex]x + 28 - 28 = -2 - 28[/tex]

[tex]x = -30[/tex]

So, the final answer is [tex]x = -30[/tex] .

Factorise 7a^3b^2 - 14a^2b^3

Answers

Answer:

[tex]7a^2b^2\left(a-2b\right)[/tex]

Step-by-step explanation:

[tex]7a^3b^2 - 14a^2b^3[/tex]

[tex]7a^2b^2(a)-7a^2b^2(-2b)[/tex]

[tex]=7a^2b^2\left(a-2b\right)[/tex]

simplify the equation

Answers

Answer:

3a^4

Step-by-step explanation:

Answer:

3 a^4

Step-by-step explanation:

4a * 6a^5 / 8a^2

Multiply the terms in the numerator

We know that we add the exponents when like terms with exponents are multiplied

24 a ^(1+5) = 24a^6

24a^6 / 8 a^2

Divide the whole numbers and subtract the exponents since we are dividing like terms with exponents

3 a^(6-2)

3 a^4

Two number cubes are rolled .what is the probability that the sum of the numbers on the cubes is 12 ?? The Answer is fraction


A.12/36
B.1/36
C.1/12
D.35/36

Answers

Answer:

The answer would be B.(1/36)

According to the table, which statement is correct about the bank balances?
A) Samuel has less debt than Harley.
B) Harley has more debt than Benton.
C) Benton has more debt than Winston.
D) Winston has more debt than Benton.

Will mark brainiest!

Answers

Answer: The answer is D

Step-by-step explanation:

If you read all the answers only D is true

Answer:

Its C. Trust me

Step-by-step explanation:

I picked D. and it was wrong and told me it was C. DO NOT PICK D. IT IS C.

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