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3 years ago

(05.03)The equation shows the relationship between x and y:

Mathematics

2 answers:

Aleks04 [339]3 years ago

6 0

Slope = -2
Hope that helps
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Aleks04 [339]3 years ago

3 0

The slope of this line is the number that is attached to the x...so in this case it would be -2 :) hope this helps you out! good luck!

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31-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece and the third piece

pychu [463]

"31-inch piece of steel is cut into three pieces"

Call the pieces a,b,c

a + b + c = 31

"second piece is twice as long as the first piece"

b = 2a

"third piece is one inch more than seven times the length of the first piece"

c = 1 + 7a

Ok, we have our equations, let's substitute the second and third into the first.

a + 2a + 1 + 7a = 31

10a + 1 = 31

10a = 30

a = 30/10 = 3

b = 2a = 6

c = 1 + 7a = 22

Check: 3 + 6 + 22 = 31, good

Answer: 3 inches, 6 inches, 22 inches

4 0

3 years ago

You are searching online for techno music that is neither European nor Dutch. In set notation, which set of music files are you

yuradex [85]

<h2>Answer: </h2><h2>Techno ∩ (European ∩ Dutch)'</h2>

Step-by-step explanation:

According to sets theory ;

Intersection ( ∩ ) - e.g (European ∩ Dutch) represents both European and

Dutch , while (European ∩ Dutch)' represents neither

European nor Dutch .

Union ( ∪ ) - e.g (European ∪ Dutch) represents either European or Dutch .

So , Techno ∩ (European ∩ Dutch)' represents set notation of techno musics that is neither European nor Dutch .

3 0

2 years ago

You just purchased two coins at a price of $670 each. Because one of the coins is more collectible, you believe that its value w

DerKrebs [107]

Answer:

The value of first coin will be $151.51 more than second coin in 15 years.

Step-by-step explanation:

You have just purchased two coins at a price of $670 each.

You believe that first coin's value will increase at a rate of 7.1% and second coin's value 6.5% per year.

We have to calculate the first coin's value after 15 years by using the formula

$A=P(1+\frac{r}{100})^{n}$

Where A = Future value

P = Present value

r = rate of interest

n = time in years

Now we put the values

$A=670(1+\frac{7.1}{100})^{15}$

$A=670(1+0.071)^{15}$

$A=670(1.071)^{15}$

A = (670)(2.797964)

A = 1874.635622 ≈ $1874.64

Now we will calculate the value of second coin.

$A=670(1+\frac{6.5}{100})^{15}$

$A=670(1+0.6.5)^{15}$

$A=670(1.065)^{15}$

A = 670 × 2.571841

A = $1723.13

The difference of the value after 15 years = 1874.64 - 1723.13 = $151.51

The value of first coin will be $151.51 more than second coin in 15 years.

8 0

2 years ago

URGENT PLEASE!!!!!!!!!!!!

kondaur [170]

Answer:

i got 178

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Carlos ran a concession stand last Saturday and made $63.90 from selling a total of 41 hot dogs and hamburgers. Each hot dog sol

Keith_Richards [23]

The number of hot dogs, x is 36 and hamburgers, y is 5 were sold

Step-by-step explanation:

Carlos ran a concession stand last Saturday and made $63.90 from

a total of 41 hot dogs and hamburgers. Each hot dog sold for $1.40

and each hamburger sold for $2.70

1. The number of hot dogs is x, and hamburgers is y

2. He made $63.90 from a total of 41 hot dogs and hamburgers

3. Each hot dog sold for $1.40 and each hamburger sold for $2.70

We need to find the number of hot dogs and hamburgers, that were sold

∵ The number of hot dogs is x, and hamburgers is y

∵ He sold 41 hot dogs and hamburgers

∴ x + y = 41 ⇒ (1)

∵ Each hot dog sold for $1.40 and each hamburger sold for $2.70

∵ He sold x hot dogs and y hamburgers

∵ He made $63.90 from sold them

∴ 1.4 x + 2.7 y = 63.9 ⇒ (2)

Let Us solve the system of equations to find x and y

Multiply equation (1) by -2.7 to eliminate y

∵ (-2.7)x + (-2.7)y = (-2.7)(41)

∴ -2.7 x - 2.7 y = -110.7 ⇒ (3)

- Add equations (2) and (3)

∴ -1.3 x = -46.8

- Divide both sides by -1.3

∴ x = 36

Substitute the value of x in equation (1) to find y

∵ x + y = 41 ⇒ (1)

∴ 36 + y = 41

- Subtract 36 from both sides

∴ y = 5

The number of hot dogs, x is 36 and hamburgers, y is 5 were sold

Learn more:

You can learn more about system of equations in brainly.com/question/3739260

#LearnwithBrainly

6 0

3 years ago