If (2a+b,11) and (1, a-3b) are equal ordered pair then (a,b) = ______.​

Answers

Answer 1

Given that

(2a+b,11) and (1,a-3b) are equal ordered pair

⇛(2a+b,11) = (1,a-3b)

On comparing both sides then

2a+b = 1 ----------Eqn(1)

11 = a-3b

⇛ a-3b = 11 ------Eqn(2)

⇛ a = 11+3b-------Eqn(3)

On substituting the value of a in Eqn(1) then

⇛ 2(11+3b) + b = 1

⇛(2×11)+(2×3b) + b = 1

⇛ 22 +6b+b = 1

⇛ 22+7b = 1

⇛ 7b = 1-22

⇛ 7b = -21

⇛ b = -21/7

⇛ b = -3

On substituting the value of b in Eqn(3) then

⇛ a = 11+3(-3)

⇛ a = 11-9

a = 2

Therefore, a = -3 and b = 2

Answer:-The value of (a,b) for the given problem is (-3,2).


Related Questions

6(x 2) 3(x 3) help me help me help me help me help me HELP MEEEEE PLZ its from usatestprep

Answers

Answer:

i dont now

Step-by-step explanation:

3-8(1+8x)=-133
Solve for x

Answers

Answer:

x=2

Step-by-step explanation:

Expanding, we have 3 - 8-64x=-133.

Combining like terms, we have -5 - 64x=-133

Adding 5 to both sides, we have -64x= -128

Dividing by -64, we have x = 2

help me please hhhhhjjkk

Answers

Answer:

x=11

Step-by-step explanation:

This is an exterior angle theorem question.

To answer this question, you must know what the exterior angle theorem is:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. (not my definition)

So first, you need to add the two opposite interior angles.

3x+8+2x+9 is equal to 5x+17.

Then, you make an equation setting 5x+17 equal to the exterior angle.

5x+17 = 8x-16.

To solve this equation, first add 16 on both sides

→5x+33 = 8x

Then, subtract 5x on both sides

→ 33 = 3x

Finally, divide both sides by 3 to get x=11

(a) $21,000.00 is to be divided in the ratio 5:7:9 respectively for three siblings Antony, Terry
and Jack. Calculate how much money each sibling will get.

Answers

Answer:

See below for answer

Step-by-step explanation:

Set up the equation 5x+7x+9x=2100 and solve for x:

5x+7x+9x=2100

21x=2100

x=100

Now multiply the proportion by 100:

5:7:9 * 100 = 500:700:900

This means that Antony will get $500, Terry will get $700, and Jack will get $900.

Use the given information to prove that CA = CB.

20 POINTS!!

Answers

The question and image??

can someone help me pls?

three friends each have some ribbon. Carol has 42 inches of ribbon, Tino has 2.5 feet of ribbon, and baxter has 1.5 yards of ribbon. express the total length of ribbon the three friends have in inches, feet, and yard.
____ inches = ____ feet = ____ yards

Answers

Answer:

126 inches = 10.5 feet = 3.5 yards

Step-by-step explanation:

42 in = 3.5 ft = 1.1667 yds

2.5 ft = 30 in = 0.8333 yds

1.5 yds = 54 in = 4.5 ft

42+30+54= 126 in

3.5+2.5+4.5= 10.5 ft

1.5+0.8333+1.1667= 3.5 yds

10.5/3= 3.5 yds

Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in simplest form, 2 1/7 divided by 1 2/5 =?

Answers

Answer:

1 26/49

Step-by-step explanation=

2 1/7 ÷ 1 2/5

15/7 over 1 2/5

15/7 over 7/5  

75/49  

= 1 26/49

3.
Billy and Karen are playing a billy and Karen are playing a game. They toss a coin that can land either heads or tails and a
spinner that can land on any of 8 equal regions. If a coin is tossed and the spinner is spun,

howmany possible outcomes are there?

Answers

The number of possible outcomes for both Billy and Karen = 32 possible outcomes.

A coin has head and tail and thus;

Number of possible outcomes of a coin toss = 2

Now, for the for the spinner, since there are 8 equal regions;

The number of possible outcomes of the spinner = 8

Now, since they are playing a game;

Number of possible outcomes for Billy for one toss of coin and one time of spinning the spinner = 8 × 2 = 16

Similarly;

Number of possible outcomes for Karen for one toss of coin and one time of spinning the spinner = 8 × 2 = 16

Therefore;

Total possible outcomes for both Karen and Billy = 16 + 16 = 32 possible outcomes.

Read more about probability at; https://brainly.com/question/21186493

someone please just help me i'm almost done with my math for today!
marking brailist

Answers

If 13 is added to the data set the range will increase by one because range is highest value minus lowest value and 13 is one unit less than the previous lowest value

therefore the answer is A

NO NEED FOR LINKS NEED THE ANSWER RIGHT NOW

Answers

Answer:

a. y= 16+ 7x

b. y=19+9x

c. y= 10+5x

Step-by-step explanation:

a.) adds 7 each time

b.) adds 9 eah time

c.) adds 5 each time

Answer:

hope it helps you......

The picture can be represented by the equation 40 divided by 8 equals 5.

Answers

Answer:

what is to do here

[tex] \sqrt[8]{40} = 4 \\ 5[/tex]

the answer like this up will be 5 what grade question

Which is true? A 0.9919 > 0.999 B 1.4359 < 1.446 C 2.6953 = 2.75 D 4. 9395 > 5.0

Answers

Option B. is true.

A isn't true because 0.9919 is lesser than 0.999.C is false because 2.6953 is lesser than 2.75. They are not equal.D is also false because 4.9395 is not greater than 5.0.

Answer:

B. 1.4359 < 1.446

Hope you could get an idea from here.

Doubt clarification - use comment section.

P(A ∪ B) = 0.8, P(B) = 0.5, P(A ∩ B) = 0.3. Find P(A). P(A) =

Answers

Answer:

The answer is 0.6

Step-by-step explanation:

I find it helpful to setup a Venn Diagram when dealing with these. This chart is pretty useful when dealing with set notation.

Then, you can set this up as a system of equations. So, based on your problem, we can setup the system like this:

x + y + z = 0.8

y + z = 0.5

y = 0.3

If you solve this, you will get:

x = 0.3

y = 0.3

z = 0.2.

To get P(A), you x and y to get x + y = 0.6

Which expression shows the result of applying the distributive property to 3 (1/5x - 1/7)

A. -3/5x + 3/7
B. 3/5x - 3/7
C. -3/5x - 3/7
D. 3/5x + 3/7

Answers

Hi,

3(1/5x - 1/7)

= 3/5x - 3/7

B

✅(◠‿◕)

Select the expressions that are equivalent to 7•7•7•7•7•7. I HAVE TO ANSWER 2 MORE ANSWERS

Answers

Answer:

49 * 7'4

Step-by-step explanation:


Which of the following numbers is proportional to 84/108?
1. 86/110
2.98/126
3.64/72
4.91/104

Answers

Proportional numbers are numbers with the same equivalent ratio

98/126 is proportional to 84/108

The number is given as:

[tex]Number = \frac{84}{108}[/tex]

Reduce fraction to the lowest term

[tex]Number = \frac{7}{9}[/tex]

Reduce 86/110 to the lowest term

[tex]Number = \frac{86}{110}[/tex]

Divide by 2/2

[tex]Number = \frac{43}{55}[/tex]

43/55 is not equivalent to 7/9

Reduce 98/126 to the lowest term

[tex]Number = \frac{98}{126}[/tex]

Divide by 14/14

[tex]Number = \frac{7}{9}[/tex]

7/9 is equivalent to 7/9.

Hence, 98/126 is proportional to 84/108

Read more about proportional numbers at:

https://brainly.com/question/1781657

Graph
-2(3x+4)(x-1)(x-3)^2

Answers

Answer:

Step-by-step explanation:

What is 7823× 10 to the 3 power?

Answers

Answer:

7823000

Step-by-step explanation:

Answer:

0 is the answer

7893 x 10 equal to 789300

write 164/100 as a mixed number in simplest form.

Answers

Answer:

1 16/25

Step-by-step explanation:

I just recently learned this kind of stuff!

Answer:

1 16/25

Step-by-step explanation:

164-100=64

Common factors of 64 and 100:

1, 2, 4

Greatest common factor: 4

64/4=16

100/4=25

16/25

1 16/25

Help pls , I’m lost

Answers

i think maybe 2,7 Sorry if i’m wrong

factor and solve the zeros for the following x^2+10x-75=0

Answers

x=5,−15 I know I took it

A student is told to work any 8 out of 10 questions on an exam. In how many different ways can he complete the exam

Answers

Answer:

Step-by-step explanation:

Assuming the order in which he answers the questions matter the answer is the number of permutations of 8 in 10.

This is 10! / (10-8)!

= 1,814.400.

If the order does not matter then the answer is the number of combinations of 8 from 10:

This is 10!/8!*2!

= 45.

Find the unit price for a 9 oz bottle of ketchup for 88cents. round answers to the nearest tenth of a cent. ________ cents per ounce

Answers

Answer:

0.1 cents per ounce

Step-by-step explanation:

You know that you paid 88 cents for the whole bottle of ketchup and the whole body contains 9oz of ketchup. Every one ounce is equal to 9.8 cents. You simply need to divide the total amount of the item by the weight (9 ounces) to get 0.09 or 0.1 when rounded.

[tex]\frac{88 cents}{9oz}=0.1 cents per ounce[/tex]

If 9 : x = x:4, then x = _____. 36 18 24 6

Answers

Solution: 9:x = x:4

⇛9/x = x/4

By doing cross multiplication, we get

⇛9(4) = x(x)

⇛36 = x²

⇛x² = 36

⇛x = √(36)

⇛x = √(6*6)

∴ x = 6 Ans.

also read similar questions: Which equations have the same value of x as 2/3(6x+12)=-24? Check all that apply.1. 4x+8=24 2. 9x+18=-24 3. 4x+12=-24 4. 18x+36/2=-24 5. 4x=-36 6. 4x=-32 7. x=-... https://brainly.com/question/6702722?referrer

If 9 : x = x:4, then x = 6

Gemma and Leah are both jewelry makers, Gemma made 106 beaded necklaces. Leah
made 39 more necklaces than Gemma.
Each necklace they make has exactly 104 beads on it. How many beads did both
Jewelers use altogether while making their necklaces? How many necklaces did Gemma and Leah each make

Answers

Answer:

Gemma made $34 more than Leah.

Step-by-step explanation:

Gemma made number of beaded necklaces = 106

Leah made 39 more necklaces than Gemma.

Leah made number of beaded necklaces  = 106 + 39 = 145

a. There are 104 beads on each necklace.

The total number of beads used altogether

= (106 × 104) + (145 × 104)

= 11,024 + 15,080

= 26,104

b. Gemma sold her 106 necklaces for = $14

Total price of her necklaces = 106 × 14

                                              = $1,484

Leah sold her 145 necklaces for = $10

Total price of her necklaces = 145 × 10

                                              = $1,450

Difference in Gemma and Leah's amount = 1484 - 1450 = $34.00

Therefore, Gemma made $34.00 more money than Leah.

Maybe Audrey waited 6 pounds 14 in ounces at birth convert her weight to ounces

Answers

Answer:

110 ounces :))

Step-by-step explanation:

Which expression is equal to “seven more than a number multiplied by 9"?
a. 9(x + 7)
b. 7 + 9x
c. 9x - 7
d. 9 + 7x

Answers

Answer:

b

Step-by-step explanation:

a: is not because in the distribution property, the answer would be for a, 9x+63.

b: yes.

c: it's subtracting, not adding. The question states adding

d: 7 is not the one being multiplied in the question, 9 is. Therefore b is right

The explaining is not good but im pretty sure it's b..

Marian sells handmade aprons at a local co-op. The wholesale cost of the materials for one apron is $12.99. If she sells the aprons for $25.00, what is the percent of markup? Round to the nearest percent.

Answers

Answer:

92%

Step-by-step explanation:

dnc

What is 18x77 with algorithm

Answers

Answer:

1386

Step-by-step explanation:

First multiply 8 and 77 to get 616

Then multiply 10 and 77 to get 770

Finally, add them all together to get 1386

Answer:

the answer is 1,386. ......

Problema: Juan quiere repartir sus calidez entre sus hermanos pequeños. Dice que dará la
mitad en Anna y tres sextas partes en Ignacio. Anna está enfadada porque dice que
Ignacio tendrá más, ¿es cierto?

Answers

Answer:

no .,..false

Step-by-step explanation:

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