Which of the following is a solution for the equation 7x + 21 = 105?105
15
84
12

Answers

Answer 1
Answer:

Answer:

x= 12

Step-by-step explanation:

Simplifying

7x + 21 = 105

Reorder the terms:

21 + 7x = 105

Solving

21 + 7x = 105

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21' to each side of the equation.

21 + -21 + 7x = 105 + -21

Combine like terms: 21 + -21 = 0

0 + 7x = 105 + -21

7x = 105 + -21

Combine like terms: 105 + -21 = 84

7x = 84

Divide each side by '7'.

x = 12

Simplifying

x = 12

Answer 2
Answer:

Answer:

12

Step-by-step explanatio


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Which ordered pairs are in the solution set of the system is liner inequalities y>-1/3x+2 y<2x+3

I dont know what to do.It says to find the slope of the lind that crosses these points.
And it gives me some slopes like: (3,5) and (1,9)

Answers

Slope=( y_(2)- y_(1) )/( x_(2) - x_(1) )

(3,5) and (1,9)
x1=3
y1=5
x2=1
y2=9

Slope=( y_(2)- y_(1) )/( x_(2) - x_(1) )
Slope=( 9- 5 )/( 1 - 3)
Slope=(4)/( -2)
Slope=-(4)/(2) or -2

Answer:Slope=-2

YO PLZ HELP ME W DIS ASAP!!!

Answers

Answer:

-6 < y < ∞

Step-by-step explanation:

The range is the value of the output, in this case the value of y

The value is from -6 not including -6 to infinity

-6 < y < ∞

Answer:

C. from -6 to infinity

Step-by-step explanation:

The range is the set of the y-coordinates of the points of the function.

The lowest value of y is -6 or just greater than -6.

All values greater than y are also part of the range.

Answer: Choice C. from -6 or just greater than -6 to infinity

Anita and Maria went to the candy store. Maria bought 5 pieces of fudge and 3 pieces ofbubble gum for a total of $5.70. Anita bought 2 pieces of fudge and 10 pieces of bubblegum for a total of $3.60. Determine the cost of 1 piece of bubble gum.

Answers

! piece of Bubblegum costs $0.15 One piece of Fudge costs $1.05

Final answer:

The price of one piece of bubble gum is $0.15. This can be determined by setting up algebraic equations based on the given information, allowing the fudge and bubble gum prices to be calculated.

Explanation:

The subject of this question is algebra and it uses a system of simultaneous equations to find the price of each piece of candy.

  1. Let's say 'f' is the cost of fudge and 'g' is the cost of gum.
  2. We can write two equations based on the information given: 5f + 3g = 5.70 and 2f + 10g = 3.60.
  3. To find the cost of the bubble gum first, we can eliminate 'f' by multiplying the first equation by 2 and the second one by 5 which will give us: 10f + 6g = 11.40 and 10f + 50g = 18.00
  4. Then we subtract the second equation from the first equation. This gives us: 44g = 6.60.
  5. Finally, we divide by 44 to get the price of gum, 'g' = 6.60 / 44 = $0.15.

Learn more about Price of bubble gum here:

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Simplify (3x + 5) + (2x - 9) - (4x + 3).

Answers

The answer is x-7
(3x+2x-4x)+(5+-9-3)
(5x-4x)+(-4-3)
(1x)+(-7)
x-7

The product of two rational numbers is

rational
irrational

Answers

Answer:

Rational.

Step-by-step explanation:

The product of two rational numbers is always rational. This means that if you multiply two numbers that can be made into a fraction, their product can also become a fraction.

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Prove that sin(x) + tan(x) = 1 + sec(x)/csc(x) by using trigonometric identities.

Answers

Answer:

Step-by-step explanation:

sin(x) + tan(x) =sin(X) + sin(x)/cos(x)

=sinx(1+1/cosx)

=Sinx(1+secx)

=1+secx/cosecx. (Since sinx=1/cosecx)

Hence LHS=RHS proved