Find the values of a and b so that the linear system has the given solution.
Given Solution: (2, 1)
Equation 1: ax - by'= 4
Equation 2: bx - ay = 10

Step-by-step explanation:

The HCF of 28 and 40 is 4, and the LCM is 280.

Step-by-step explanation:

this is the answer..........

Answer:

A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 18, 22. Column 2 is labeled y with entries 2, 3, 4.

Step-by-step explanation:

cv

Answer:

P(X = 7) = 0.11712

Step-by-step explanation:

From the information given:

Average no. of claims received per week λ = 9

The required probability that exactly 7 claims will be received is determined by applying the Poisson distribution formula:

[tex]P(X=x) = \dfrac{\lambda ^x e^{-\lambda}}{x!}[/tex]

[tex]P(X=7) = \dfrac{9 ^7 e^{-9}}{7!}[/tex]

[tex]P(X=7) = \dfrac{4782969 \times1.23409804 \times 10^{-4}}{5040}[/tex]

[tex]P(X=7) = \dfrac{590.2652672}{5040}[/tex]

P(X = 7) = 0.11712

Answer:

12 yards

Step-by-step explanation:

side b = √(diagonal^2 - side a^2)

Answer:

-x^2 - 11x -30

Step-by-step explanation:

Solve using foiling. Ignore the -1 to begin with and just look at the part in parenthesis. Do x from the first parenthesis times the stuff in the second parenthesis.

ie: x(x) and x(6)

ie: x^2 + 6x

Then do the 5 times the things in the second parenthesis.

ie: 5(x) and 5(6)

ie: 5x + 30

Then add what you got from multiplying the first value to what you got from multiplying the second.

ie: x^2 + 11x + 30

This is a trinomial because it has three different variables. Now change all the signs to negative because of the -1 out front.

ie: -x^2 - 11x -30

Answer:

200 pages

Step-by-step explanation:

( number of pages) ×(2/5) = 80

Number of pages = 80 ÷(2/5)

Number of pages = 200

Answer:

12 kg

Step-by-step explanation:

15×80/100

15×8/10

120/10

12 kg

Answer:

12kg

Step-by-step explanation:

When finding 15% of something you can set it up like this

?      15

---    ----

80  1000

to figure out what the '?' is you need to multiply diagonally and divide the neighbor

80 x 15 = 1200

1200 / 100 = 12

Hence, your answer is 12 kg

Hope this helps <3

Answer:

He can build ...

... min(floor((available wood)/(wood per chair)), floor((available glue)/(glue per chair)))

... = min(floor(6/4), floor(12/6))

... = min(1, 2) = 1

The carpenter can build ...

... e. one chair

Step-by-step explanation:

Answer:

4 dimes

2 nickels

Step-by-step explanation:

Answer:

4 dimes 2 nickels

Step-by-step explanation:

Given :

To find :

Solution :

As it is given that the length of rectangle is 6 m more than the breadth.

Thus, let us consider the Breadth as ''x''.

Then the Length will be ''x+6''.

We know that,

Perimeter of rectangle = 2(l + b)

According to Question,

➠Perimeter of rectangle = 2(x+6+x)

➠60 = 2(x+6+x)

➠60 = 2(x+x+6)

➠60 = 2(2x + 6)

➠60 = 4x + 12

➠60 - 12 = 4x

➠48 = 4x

➠48/4 = x

➠12 = x

______________________

∴ We got the Value of Breadth as 12 m, because we have let the breadth as x.

And the Length of the rectangle will be,

↠x + 6

↠12 + 6

↠18 m

Hence,

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:

-21°C

Step-by-step explanation:

Since the plane is flying at an altitude of 5 kilometers, then we have to multiply 6.4 by each kilometer that the plane's altitude increased (5). After that, we will end up with 32°C that we have to subtract from the ground temperature of 11°C. Once we do that, we get -21°C which means that the temperature at an altitude of 5 kilometers is -21°C.

(sorry if this is confusing but I hope this helped)

Answer:

a direct proof

Step-by-step explanation:

Answer:

direct proof

Step-by-step explanation:

any kind of chart wouldnt be helpful, and an indirect proof wouldnt either.

Answer:

24

Step-by-step explanation:

you divide 16 by the decimal form of 2/3 (0.66666666666666666666666...) and you get your answer, 24.

I hope this helped :))

Answer:

24

Step-by-step explanation:

you divide 16 by the decimal form of 2/3

you get 24.

Answer:

[tex]B.\ 3[/tex]

Step-by-step explanation:

Given

[tex]x^3 + \frac{1}{3}x^3 +6x + 5[/tex]

Required

Power of term with coefficient of 1

First, we need to identify the variable in the given polynomial

The variable is x

Each term has the following format:

[tex]mx^n[/tex]  where [tex]n \ge 0[/tex] and m is the coefficient

In this case, we are to look for n where m = 1

Looking at each term of the polynomial, we have the following match:

[tex]mx^n = x^3[/tex]

Substitute 1 for m

[tex]1 * x^n = x^3[/tex]

[tex]x^n = x^3[/tex]

By comparison:

[tex]n = 3[/tex]

Hence, the solution to this question is (B)

9514 1404 393

Answer:

  524,160

Step-by-step explanation:

Assuming order matters, it is the number of permutations of 16 things taken 5 at a time:

  16P5 = 16!/(16-5)! = 16·15·14·13·12 = 524,160

_____

The first passenger can pick any of 16 seats; the second can pick any of 15 remaining seats; and so on until all 5 passengers have chosen a seat. The number of possible different arrangements is the number shown above.

Answer:

t = 4.5

Step-by-step explanation:

1.8 = 0.4(t) solve for t

Answer:

one

Step-by-step explanation:

Answer:

n = 6

Step-by-step explanation:

[tex](2.4 \times {10}^{3} ) \times (3 \times {10}^{n} ) = 7.2 \times {10}^{9} \\ \\ (2.4 \times 3 \times {10}^{3 + n} ) = 7.2 \times {10}^{9} \\ \\ 7.2 \times {10}^{3 + n} = 7.2 \times {10}^{9} \\ \\ {10}^{3 + n} = {10}^{9} \\ \\ 3 + n = 9 \\ \\ n = 9 - 3 \\ \\ n = 6[/tex]

Answer:

200 CDs

Step-by-step explanation:

1000 g = 1 kg

2 kg = 2000 g

2000 / 10 = 200 CDs :D

Answer:

1:4

Step-by-step explanation:you can simplify the ratio by finding the LCM on both sides and dividing the number by the lcm in which this case is 15.

15/15=1

60/15=4

so 1:4

The answer to the question is 1:4

Step-by-Step explanation:

We have to divide each number over here by the LCF of 15.

The LCF (Least Common Factor) of 15 is 5.

Given the LCF of 15 is 15, we will divide both given numbers by 15.

[tex]\text {60 / 15 = 4 and 15 / 15 = 1}[/tex]

We will put the numbers back in order from least to greatest.

The ratio we find is 1:4, and the answer to your question is 1:4.

Carry on Learning!

Answer:

option D

Step-by-step explanation:

In the right angled triangle , one vertex angle is 60° . The other vertex angle will be = 180 - (90+60) = 30°

Hypotenuse = m ; Perpendicular = n ; Base = 4

Side opposite to 60° = Base

Side adjacent to 60° = Perpendicular

Side opposite to 30° = Perpendicular

Side adjacent to 30° = Base

So,

[tex] \sin(60) = \frac{opposite}{hypotenuse} = \frac{4}{m} [/tex]

[tex] = > \frac{ \sqrt{3} }{2} = \frac{4}{m} [/tex]

[tex] = > m = \frac{4 \times 2}{ \sqrt{3} } = \frac{8}{ \sqrt{3} } [/tex]

Rationalising the value of m gives [tex] \frac{8 \sqrt{3} }{3} [/tex]

Also,

[tex] \tan(30) = \frac{opposite}{adjacent} = \frac{n}{4} [/tex]

[tex] = > \frac{1}{ \sqrt{3} } = \frac{n}{4} [/tex]

[tex] = > n = \frac{4}{ \sqrt{3} } [/tex]

Rationalising the value of n gives [tex] \frac{4 \sqrt{3} }{3} [/tex]

Answer: Capitalism

Step-by-step explanation:

hope it helps

Answer:

$406

Step-by-step explanation:

The formula for simple interest is I=prtI=prt where II is the amount of interest earned, pp is the initial deposit, rr is the annual interest rate, and tt is the number of years.

It is given that he deposits p=$400p=$400, the bank pays r=1.5%= 0.015r=1.5%=0.015 in annual interest, and t=1t=1 year. The amount of interest he will earn is then I=prt=400(0.015)(1)=$6I=prt=400(0.015)(1)=$6.

His total balance after one year will then be p+i=$400+$6=$406p+i=$400+$6=  

$406

​  

.

Answer:

7,24,25

3,4,5

Step-by-step explanation:

1. Let assume the three sides of a right triangle are A,B and C, and C is the longest side

2. For the definition of a right triangle, [tex]C^{2}[/tex]=[tex]A^{2}[/tex]+[tex]B^{2}[/tex]

3. For all the sets listed, only these two sets meet the definition.

Answer:

3.4.5, 2.3.3, and7. 24. 25

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Lol I just had this same question on edge 2021 (◕‿◕✿)

Answer:

It Is B, x-6.

Step-by-step explanation:

I Just Did The Unit Test Review (ﾉ◕ヮ◕)ﾉ*.✧

Answer:

$38.66

Step-by-step explanation:

Answer:

392

Step-by-step explanation:

hope this helps dont 4get to like and star

-mercury