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3 years ago

A number x decreased by 6 is at most 11.

Mathematics

1 answer:

MaRussiya [10]3 years ago

5 0

Answer:

17?

Step-by-step explanation:

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Find the solution set of the following equations: <br><br>2y=2x+7<br><br>X=y+2

kirill115 [55]

Answer:

The system of equations has no solution.

Step-by-step explanation:

Given the system of equations

2y = 2x+7

x = y+2

solving the system of equations

$\begin{bmatrix}2y=2x+7\\ x=y+2\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}2y-2x=7\\ -y+x=2\end{bmatrix}$

Multiply -y+x=2 by 2: -2y+2x=4

$\begin{bmatrix}2y-2x=7\\ -2y+2x=4\end{bmatrix}$

so adding

$-2y+2x=4$

$+$

$\underline{2y-2x=7}$

$0=11$

so the system of equations becomes

$\begin{bmatrix}2y-2x=7\\ 0=11\end{bmatrix}$

0 = 11 is false, therefore the system of equations has no solution.

Thus,

No Solution!

3 0

3 years ago

a coin is tossed, then a letter in the word accomplishment is chosen at random. find the probability of heads, then a vowel

emmasim [6.3K]

Answer:

$\frac{5}{52}$

Step-by-step explanation:

Coin toss:

$Total\ outcome=\{H,T\}\\\\Favourable\ outcome=\{H\}\\\\P(Head)=\frac{Favourable\ outcome}{Number\ of\ total\ outcome}\\\\P(Head)=\frac{1}{2}$

Letter Selection:

$Number\ of\ total\ outcomes=26\ \ \ \ \ \ \ as\ total\ letters\ are\ 26\\\\Favourable\ outcomes=5\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ as\ there\ are\ 5\ vowels\\\\P(vowel)=\frac{Favourable\ outcomes}{Number\ of\ total\ outcomes}\\\\P(vowel)=\frac{5}{26}$

$These\ two\ events\ are\ independent.\\\\Hence\ probability\ of\ head\ and\ then\ vowel=\frac{1}{2}\times \frac{5}{26}=\frac{5}{52}$

4 0

3 years ago

Find the percent of each number 0.9 of 1000

trasher [3.6K]

We can use the is/of = p/100 method here. Our given values are 90% and 1000. Think: "What number is 90% of 1000?" Let's plug in our values.

x/1000 = 90/100

Solve for x.

x = (1000)(0.9)

x = 900

So, 900 is 90% of 1000.

8 0

3 years ago

Which equation represents a line which is perpendicular to the line y=-4/5x+2?

lyudmila [28]

Answer:

D) 4x + 5y = -30 = -4/5

Step-by-step explanation:

A) 5x + 4y = 28 slope = -5/4

b) 4x-5y = -25 slope = 4/5

c) 4y - 5x = -12 slope = 5/4

d) 4x + 5y = -30 slope = -4/5

5 0

2 years ago

I have a two digit number the sum of the digits is 12 the first digit is 4 Less Than 3 times the second what is my number

nignag [31]

Answer:

Step-by-step explanation:

Let the first digit = x

Let the second digit =y

x + y = 12

x + 4 = 3*y

===========

From the second equation, we learn that x = 3y - 4

Put that into the first equation.

3y - 4 + y = 12 Combine the left side

4y - 4 = 12 Add 4 to both sides

4y = 16 Divide by 4

4y/4 = 16/4

y = 4

=================

x + 4 = 12

x + 4 - 4 = 12-4

x = 8

So the number is 84

3 0

3 years ago

A number x decreased by 6 is at most 11.​

A number x decreased by 6 is at most 11.