Find all triples of natural numbers (a, b, c) satisfying the system of equations​

Answer:

x = 6 ± 5

Step-by-step explanation:

x² - 12x + 11 =0

x² - 12x = -11          Now add this number to both sides of the equal sign (1/2 of the coefficient of x-term squared)

x² - 12x +36 = -11 + 36                      1/2(-12)² = 36

(x - 6)(x - 6) = 25

(x - 6)² = 25

[tex]\sqrt{(x-6)}[/tex]² = [tex]\sqrt{25}[/tex]                             square root of both side of the equation

x - 6 =  ± 5                                          (5)² = 25 and (-5)² = 25

x = 6 ± 5

Answer:

Jina has $10,

Tony has $40,

and Henry has $20

Step-by-step explanation:

So if we use a little bit of algebra, let's say

Jina's amount = a.

Henry has $10 more than Jina, so that would make Henry's amount: a + 10. Tony has two times more dollars than Henry, so multiply Henry's amount

(a + 10) by 2, and you get: 2(a + 10).

Here's to make things easier on the eye for you:

Jina's amount = a

Henry's amount = (a + 10)

Tony's amount : 2(a + 10)

Next, form an equation by adding each of the three's amounts together:

Jina's amount + Henry's amount + Tony's amount

= a + (a + 10) + 2(a + 10)

= a + a + 10 + 2a + 20

(add the a's together and the numbers together. Then, put the total amount, $70, on the other side of the equation)

4a + 30 = 70

(subtract 30 from both sides of the equation: 4a + 30 - 30 = 70 - 30)

= 4a = 40

(and now, simplify by dividing by 4)

a = 10

Substitute 10 for a:

Jina: a = $10

Henry = (a + 10) = (10 + 10) = $20

Tony = 2(a + 10) = 2(10 + 10) = 2(20) = $40

Add them all up if you want to check if its correct:

$10 + $20 + $40 = 70$ ✔

Sorry if this explanation was a bit long, I hope you understand ^^.

Answer:

268 cm^2

Step-by-step explanation:

Pink prism:

top: 2 cm * 2 cm = 4 cm^2

right, left, back, front: 4 * 2 cm * 6 cm = 48 cm^2

bottom: completely covered in connection to green prism

Total surface area of pink: 52 cm^2

Green prism:

bottom: 10 cm * 5 cm = 50 cm^2

front, back: 2 * 10 cm * 4 cm = 80 cm^2

right, left: 2 * 5 cm * 4 cm = 40 cm^2

top: 10 cm * 5 cm - 2 cm * 2 cm = 46 cm^2

Total surface area of green: 216 cm^2

Total surface area of composite solid:

52 cm^2 + 216 cm^2 = 268 cm^2

Answer:

thousandths I'm pretty sure

conversion of temperature

buying groceries

checking weight

measuring length

Answer:

1/20

Step-by-step explanation:

Step 1: Write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly.

In this case, 0.05 has two numbers after the decimal, so, we place 100 in the denominator and remove the decimal point. This will make it 5/100

Step 2: Then, this fraction can be simplified. 5/100 = 1/20

Thus, 0.05 as a fraction is written as 1/20

Answer:

Step-by-step explanation:

let the fraction be a

a*100.....=0.05*100

100a......=05.00

99a....=0.05

100a= 5.00

99a=     0.05

   a=    4.95/99

Answer:

2.5

Step-by-step explanation:

By Pythagoras theorem,

Hypotenuse = √( 4^2 + 3^2 )

                     = √( 16 + 9 )

                     = √25

Hypotenuse = 5

4 / 2 = 5 / x

2 = 5 / x

x = 5 / 2

x = 2.5

Answer:

40°F

Step-by-step explanation:

When Tyrese fell asleep one night, the temperature was 24°F.

When Tyrese awoke the next morning, the

temperature was -16°F.

Letting + denote a rise in

temperature and - denote a drop in temperature, what was the change in temperature from the time Tyrese fell asleep until the time he awoke?

The temperature dropped from a high temperature to a low one : from 24° to -16°

This can be expressed mathematically as 24 - (-16), with - denoting a drop in the temperature

=24-(-16)

=24+16

=40°F

Please mark me brainliest

Answer:

a change of -40°F, i.e., a drop.

Step-by-step explanation:

use the formula

   change = end - start

and find -16 - 24 = -40

Using the distributive law to factor, the expression becomes 16m + 6n = 2(8m + 3n)

GIven three integers A, B and C, according to the distributive property;

A(B+C) = AB + BC

Given the expression 16m + 6n

First, we need to get the factors of both terms

16m = 2 * 8 * m

6n = 2 * 3 * n

From both factors, we can see that 2 is common to both of them. Hence using the distributive law to factor, the expression becomes;

16m + 6n = 2(8m + 3n)

Learn more here: https://brainly.com/question/2118428

Answer:

the is k=-0.4

Step-by-step explanation:

sorry if I did it wrong

Answer:

[tex]k = -\frac{2}{5}[/tex]

I can't see the answer choices. Sorry, if I'm wrong.

Answer:182/7g

Step-by-step explanation:  182 divide by 7= 26

                                              342 divide by 9=38

and you want the lowest cost so a.

Step-by-step explanation:

side A / side B = 4/9

side A = 12 yards

=>

12 / side B = 4/9

12 = side B × 4/9

9×12 = side B × 4

side B = 9×12/4 = 9×3 = 27 yards

perimeter of B is 4×side B = 4×27 = 108 yards

Answer:23

Step-by-step explanation:10 people make up 30 percent so we have 33 people . 33 - 10 = 23

Answer:

50+15=65

Step-by-step explanation:

I know because it says total

We want to find the probability of randomly drawing 3 spades from a standard deck.

The probability of getting 3 spades is 0.0129

Let's see how to get that probability.

A standard deck has 52 cards, 13 of them are spades.

The probability of randomly drawing a spade card is given by the quotient between the number of spades and the total number of cards.

So for the first spade card, the probability is:

p = 13/52

For the second card, take in mind that we already drew a spade card, so now there are 12 spade cards and 51 cards in total, so we have:

q = 12/51

For the final card, there will be 11 spade cards and 50 cards in total, but we will have:

k = 11/50

The joint probability (this is, the probability of getting the 3 spade cards one after the other) is equal to the product of the individual probabilities, so we will get:

P = p*k*q = (13/52)*(12/51)*(11/50) = 0.0129

The probability of getting 3 spades is 0.0129

If you want to learn more, you can read:

https://brainly.com/question/1349408

Answer:

t

12

/t

6

=t

12−6

=t

6

if this helps your welcome

Answer:

Whichever one looks like this

Step-by-step explanation:

Answer:

5/8,  20/32

Step-by-step explanation:

Divide 10/16 by 2 as that is the GCF (greatest common factor) = 5/8

To find an equivalent fraction with a denominator of 32 multiply 10/16 by 2 = 20/32

Answer:

5/8; 20/32

Step-by-step explanation:

10/16 = (5 · 2)/(8 · 2) = 5/8 lowest term

 equivalent fraction  5/8 = ?/32  means 32÷ 8 = 4 × 5 =20

5/8 = 20/32

If using 10/16 = ?/32     means 32 ÷ 16 = 2 × 10 = 20

Again 10/16 = 20/32

Answer: Let the numbers be x and y.

x+y = 20 …(1)

x-y = 10 …(2)

Add (1) and (2)

2x = 30, or x = 15, and so y = 5.

The product of the two numbers = xy = 15*5 = 75.

Step-by-step explanation:

Answer:

a^2+4a-5

Step-by-step explanation:

This is the expanded form

Answer:

I am sorry i dont know but can you help me plz

Answer:

104 ft²

Step-by-step explanation:

The area of the rectangle is represented by the following:

8ft x 10 ft = 80 ft

The area of the triangle is represented by the following:

(6ft x 8ft) divided by 2 = 24

By combining the values, you get 104 square feet.

Answer:

x = 9

Step-by-step explanation:

Vertical angles are congruent ( equal to each other )

So if ∠A and ∠B are vertical angles than they are congruent ( so ∠A = ∠B )

If ∠A = 2x + 1 and ∠B = x + 10

Then 2x + 1 must equal x + 10

( note that we've just created an equation that we can use to solve for x )

We now solve for x using the equation we just created

2x + 1 = x + 10

Subtract x from both sides

x + 1 = 10

subtract 1 from both sides

x = 9

Answer:

C) X-6 , In subtracting the first number is greater than the second.

Hope it's help.

Answer:

Ой ну не знаю очень сложный вопрос

Answer:

Whats? explication?? khe??

Answer:

Step-by-step explanation:

Answer:

1.25 or 1 1/4

Step-by-step explanation:

1 ounce is 0.0625 pounds

therefore 20 oz = 1.25 or 1 1/4