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

The number of collections of 7 books can you​ take is 1685.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Total books= 15

n = 15 (the number of possible books) and r = 7 (the number of books to be taken).

Now,

To find the number of different collections of 7 books, we can use the formula for combinations. Combinations are ways of selecting items from a collection, such that the order of selection does not matter.

The formula for combinations is:

nCr = n! / (r! (n - r)!)

where n is the number of items in the collection, r is the number of items to be selected, and ! is the factorial operator.

We can plug these values into the formula:

15C7 = 15! / (7! (15 - 7)!)

= 15! / (7! 8!)

= (15 x 14 x 13 x 12 x 11 x 10 x 9 x 8!) / (7! 8!)

= (15 x 14 x 13 x 12 x 11 x 10 x 9) / (7 x 6 x 5 x 4 x 3 x 2 x 1)

= (6435 x 1320) / (5040)

= 8491770 / 5040

= 1685.25

Since we cannot have a fraction of a collection, we round down to get the final answer:

15C7 = 1685

Therefor, by algebra the answer will be 1685.

More about the Algebra link is given below.

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Answer:

-5 - 2.3v

Step-by-step explanation:

You want to combine like terms and since two of the numbers have variables, then you can add them both together

4.2v - 6.5 v = -2.3 v

So... -5 - 2.3v or

-2.3v - 5

either or there both same

Hope this helped!

Answer:

A) 5:20 pm

B) 2:35 am

Step-by-step explanation:

The hours in am are from 00:00 - 12:00, the numbers after 12 for example 17, you subtract 12 and the remaining is the hours and what is left of the number for example 20 is the minutes.

I am horrible at explaining but I hope this helps...  :)

Answer:

a) 5:20

b) 2:35

Step-by-step explanation:

a) Subtract 12 from the 17 at the beginning of 1720, leaving you with 5. This is the hour component of standard time, and will be placed on the left side of the colon (5:__). Then, put  the last two digits onto the other side of the colon in standard time like so: 5:20.

b) For this one, because the first two digits don't exceed twelve, you simply have to divide the first two digits from the last two digits and put a colon between them: 02:35, or 2:35.

Step-by-step explanation:

7 months = 3/4

1 month = 3/4 ÷ 7

= 3/28

12 months / 1 year = 3/28 x 12

= 9/7

not sure if its correct

Answer: 1 2/7

trust me it just worked for me on IXL

I guess you're asking to compute the difference,

-3224₅ - 3434₅

Ignore the minus signs for now, and consider the sum

3224₅ + 3434₅

In the 5⁰ place (the rightmost digit) we have

4₅ + 4₅ = 8 = 13₅

Carry the 1 to the next place. In the 5¹ place,

2₅ + 3₅ + 1₅ = 6 = 11₅

Carry the 1. In the 5² place,

2₅ + 4₅ + 1₅ = 7 = 12₅

Carry the 1. In the 5³ place,

3₅ + 3₅ + 1₅ = 7 = 12₅

So,

3224₅ + 3434₅ = 12213₅

and hence

-3224₅ - 3434₅ = -12213₅

Answer:

(θ) = 84°

Step-by-step explanation:

Given:

sin(θ)=cos(6)

Find:

value of θ

Computation:

sin(θ)=cos(6)

We know that

cos(90-a) = sin(a)

So,

sin(θ)=cos(90-84)

sin(θ)=sin(84)

So,

(θ) = 84°

The value of (θ) = 84°

Given that,

Based on the above information, the calculation is as follows:

sin(θ)=cos(6)

We know that

cos(90-a) = sin(a)

So,

sin(θ)=cos(90-84)

sin(θ)=sin(84)

So,

(θ) = 84°

Learn more: https://brainly.com/question/6789603?referrer=searchResults

Step-by-step explanation:

provide more details, please

Answer:

61

Step-by-step explanation:

we kno that a triangle is 180 degrees so we just add the first two angles

37 + 82 = 119

then subtract that from 180

180 - 119 = 61

so x = 61 degrees

lmk if this wrong and ill fix it

hope this helps <3

Answer:61

Step-by-step explanation:

i did test on k12 it was right

Answer:

The price of a cold drink is 10 dollars.

Step-by-step explanation:

We can use proportion.

[tex] \frac{5 \: ice \: creams}{125 \: dollars} = \frac{1 \: ice \: cream}{x} \\ \\ \frac{5x}{5} = \frac{125}{5} \\ \\ x = 25[/tex]

So we found out that one ice-cream costs $25.00.

The statement said, "An ice cream costs 15 more than a cold drink"

In other words, A cold drink costs 15 dollars less than an ice cream.

So we would subtract.

[tex]25 - 15 = 10[/tex]

So a cold drink costs $10.00.

Answer:

Step-by-step explanation:

$4.75+1+$8.20= $13.95

$20.00 - $13.95 = $6.05

Answer:

$6.05

Step-by-step explanation:

candy - $4.75

soda - $1

ticket - $8.20

4.75 + 1 + 8.20

$13.95

bill - $20

20 - 13.95

$6.05

Answer:

[tex]20y^5+3y^3[/tex]

Step-by-step explanation:

[tex]16y^5 + 4y^5 -12y^3 + 15y^3[/tex]

All we can do here is combine like terms (add those that have the same the same exponent)

[tex]20y^5+3y^3[/tex]

Good luck!

Answer:

[tex]20y^{5} +3y^{3}[/tex]

Step-by-step explanation:

[tex]16y^{5} +4y^{5} =20y^{5}[/tex] and [tex]-12y^{3} +15y^{3} =3y^{3}[/tex]

So [tex]20y^{5} +3y^{3}[/tex]

Answer:

288 combinations.

Step-by-step explanation:

Simply multiply 2! by 3! and 4! which equals to 2 * 6 * 24 = 288 combinations.

Hope this helped!

Answer:

24

Step-by-step explanation:

Answer:

x = 8/3 and y = 32/3

Step-by-step explanation:

Add the two equations, getting -3y = -32, thus y = 32/3

Sub for y in first equation, getting 5x + 32/3 = 24

5x = 40/3

x = 8/3

Answer:

no correlation

Step-by-step explanation:

The price of the smartphone is fixed beforehand, therefore price does not depend upon the number of units sold.

Hence, there is no correlation between the two given variables.

Hence, no correlation would be the answer.

Answer:

y = 15 - 2x

Step-by-step explanation:

The starting temp is 15, and we expect it to fall 2 degrees each night. We substitute x and y, y = total temp at the end of the examined time period, x = number of hours.

Please give me thanks by clicking the heart button! :)

Answer:

15 - 2(x)

x = hours

Step-by-step explanation:

Answer:

194 square units

Step-by-step explanation:

perimeter is the measurement of the distance surrounding a shape. There fore, the perimeter of the shape is: 42+53+56+44=194 square units

Answer:

There are 15 carbs in one glass of milk and 13 carbs in one snack bar.

Step-by-step explanation:

Let m be the number of carbohydrates in one glass of milk and

Let s be the number of carbohydrates in one snack bar

Then according to given information

The system of equations will be:

[tex]4m+2s = 86\\2m+3s = 69[/tex]

Multiplying equation 2 by 2 and subtracting from equation 1

[tex]2(2m+3s) = 69*2\\4m+6s = 138[/tex]

Subtracting from equation 1

[tex]4m+2s-(4m+6s) = 86-138\\4m+2s-4m-6s = -52\\-4s = -52\\\frac{-4s}{-4} = \frac{-52}{-4}\\s = 13[/tex]

Putting s=13 in equation 1

[tex]4m+2(13) =86\\4m+26 = 86\\4m = 86-26\\4m = 60\\\frac{4m}{4} = \frac{60}{4}\\m = 15[/tex]

Hence,

There are 15 carbs in one glass of milk and 13 carbs in one snack bar.

Answer:

3 milkshakes and 3 sundaes

Step-by-step explanation:

3 * 5 = $15 + 3 * 2 = $21

Answer:

We want to get y and x such that it satisfices all geometric relations:

3y=87

y=87/3 = 29 degree

Hence y= 29 degree

Two parallel lines tell us that 87=3x such that x=29

Step-by-step explanation:

Step-by-step explanation:

5 points is too small for this..

Answer:

Please check the explanation.

Step-by-step explanation:

Determining the length of BC

From the diagram, it is clear that

Since points A and C are located on a horizontal straight line. Thus, the length of BC can be determined by counting the x-axis units from reaching x = -8 to x = 8. i.e. 8-(-8) = 8+8 = 16

Thus, the length of BC = 16 units

Determining the length of CD

Given

The distance between C(8, 10) and D(2, -2)

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]CD=\sqrt{\left(2-8\right)^2+\left(-2-10\right)^2}[/tex]

      [tex]=\sqrt{6^2+12^2}[/tex]

      [tex]=\sqrt{36+144}[/tex]

      [tex]=\sqrt{180}[/tex]

      [tex]=\sqrt{36\times 5}[/tex]

      [tex]=6\sqrt{5}[/tex]

Thus, the length of CD [tex]=6\sqrt{5}[/tex] units

Determining the length of ED

Given

The distance between E(-8, -4) and D(2, -2)

[tex]ED=\sqrt{\left(2-\left(-8\right)\right)^2+\left(-2-\left(-4\right)\right)^2}[/tex]

      [tex]=\sqrt{10^2+2^2}[/tex]

      [tex]=\sqrt{100+4}[/tex]

      [tex]=\sqrt{104}[/tex]

       [tex]=\sqrt{26\times \:4}[/tex]

        [tex]=2\sqrt{26}[/tex]

Thus, the length of ED [tex]=2\sqrt{26}[/tex] units

Determining the length of EB

From the diagram, it is clear that

Since points E and B are located on a vertical straight line. Thus, the length of EB can be determined by counting the y-axis units from reaching y = -4 to y = 10. i.e. 10-(-4) = 10+4 = 14

Thus, the length of EB = 14 units

Answer:

Step-by-step explanation:

1. y + 3 = 0 ⇒

2. y² - 3y + 9 = 0

Answer:

Do u still need the answer?

Step-by-step explanation:

Answer:

Chris will type 7,000 words in 20 minutes. You can use 350 x 20 to find your answer.

Step-by-step explanation:

Answer:

15 cats

proportion 3x : 5x

in this case x= 5

Step-by-step explanation:

divide 25 by 5

=5

now you know the factor is 5

multiple 3 by 5

=15

60 x 5 + 45 = 345 Seconds

Answer:

#6-

1. 9x30=(9x10)+(9x10)+(9x10)

2. 9x30=9(10+10+10)

3. 9x30=270

#7-

1. 7x50=7x(10+10+10+10+10)

2. 7x50=7x(25+25)

3. 7x50=350

#8-

1. 2x90=(2x45)+(2x45)

2. 2x90=90+90

3. 2x90=180

Step-by-step explanation:

Hope this helps!

Answer:

gsgsbsbsbs

Step-by-step explanation:

yewhsgshdhhssjbs

Answer:

Step-by-step explanation:

1. 20

2. 150

3. 56

4. 60

hope this helps. i am in algebra two so you can trust my answers. happy holidays and stay safe