Answer:
x = 37
Step-by-step explanation:
Vertically opposite angles are equal
Therefore, 2x + 6 = 80
Subtract 6 from both sides: 2x = 74
Divide both sides by 2: x = 37
Answer:
4 containers.
Step-by-step explanation:
Since Noelle collected 3 quarts 1 pint of liquid from the first table, the amount of liquid collected in quarts is 3 quarts + 1 pint = 3 quarts + 1 pint × 1 quarts/2 pints = 3 quarts + 0.5 quarts = 3.5 quarts.
She also collected 4 quarts from the second table, 2 quarts from the third table.
Finally, she collected collected 3 quarts 1 pint of liquid from the fourth table, the amount of liquid collected in quarts is 3 quarts + 1 pint = 3 quarts + 1 pint × 1 quarts/2 pints = 3 quarts + 0.5 quarts = 3.5 quarts.
So, the total amount of liquid she collected in quarts is V = 3.5 quarts + 4 quarts + 2 quarts + 3.5 quarts = 7.5 quarts + 5.5 quarts = 13 quarts
We now convert this value to gallons to know the amount of containers Noelle needs since she has one gallon containers.
13 quarts = 13 × 1 quarts = 13 quarts × 1 gallon/4 quarts = 13/4 gallons = 3.25 gallons
Since the total amount of liquid is 3.25 gallons = 3 gallons + 0.25 gallons, Noelle would need 4 containers since 3 containers would contain the first 3 gallons and the fourth container would contain the remaining 0.25 gallons.
So, Alyssa would need 4 containers.
Answer:
14 x 10 = 140 yd²
Step-by-step explanation:
Area of a rectangle is length times width
The equation that matches the given points is g(x) = -1.4x + 7.6
The standard form of a linear equation is expressed as 
- m is the slope of the line
Using the coordinate points (3, 3.4), (4,2)
Substitute m = -1.4 and the coordinate (4, 2) into the formula:
Get the required equation:
Hence the equation that matches the given points is g(x) = -1.4x + 7.6
Learn more on equation of a line here; brainly.com/question/9351428
