What is the undefined value for the equation 14=7x9+4x ?(1 point) Responses x≠0 x does not equal 0 x≠−49 x does not equal Start Fraction negative 4 over 9 End Fraction x≠94 x does not equal Start Fraction 9 over 4 End Fraction x≠−94
x does not equal Start Fraction 9 over 4 End Fraction
Solve for s in the following equation: 11s+3+4=5 .(1 point) s=
To solve for s, we need to isolate the variable on one side of the equation.
11s + 3 + 4 = 5
First, simplify the equation:
11s + 7 = 5
Next, isolate the variable by subtracting 7 from both sides:
11s = 5 - 7
11s = -2
Finally, solve for s by dividing both sides of the equation by 11:
s = -2/11
Therefore, s = -2/11.
Which correctly shows the area formula for a trapezoid, A=12h(b1+b2) , rearranged for the quantity of interest h?(1 point) Responses h=12A(b1+b2) h equals Start Fraction 1 over 2 End Fraction upper A left parenthesis b subscript 1 baseline plus b subscript 2 baseline right parenthesis h=2Ab1+b2 h equals Start Fraction 2 upper A over b subscript 1 baseline plus b subscript 2 baseline End Fraction h=b1+b22A h equals Start Fraction b subscript 1 baseline plus b subscript 2 baseline over 2 upper A End Fraction b1=2Ah−b2
To rearrange the formula A = 12h(b1 + b2) for the quantity of interest h, we will divide both sides of the equation by 12(b1 + b2) to isolate h.
A = 12h(b1 + b2)
Divide both sides by 12(b1 + b2):
A / (12(b1 + b2)) = h
Therefore, the correct rearranged formula for h is h = A / (12(b1 + b2)).
Given the formula for time in terms of distance and velocity, t=dv , what operation would you use to isolate the distance?(1 point) Responses addition addition subtraction subtraction multiplication multiplication division
To isolate the distance in the formula t = dv, you would use the division operation.
A 10-gallon water cooler in an office provides water for the whole department. Each hour, 30 ounces of water are removed from the cooler and drunk by office workers. Write an equation to show how long the water in the cooler will last. (10 gallons is 1,280 ounces.)(1 point) Responses 10−30h=0 10 minus 30 h equals 0 30h=10 30 h equals 10 1,280+30h=0 1,280 plus 30 h equals 0 1,280−30h=0
The equation to show how long the water in the cooler will last can be written as:
1,280 - 30h = 0
This equation represents the starting amount of water in the cooler (1,280 ounces) minus the amount of water taken out each hour (30 ounces) multiplied by the number of hours (h) equals zero, indicating that the water will run out.