Let x, represent the number of minutes and y represents the number of gallons of water in the tub, then the ordered pairs (2, 30) and (5, 12) satisfies the equation.
Therefore the equation is given by: (y - 30)/(x - 2) = (12 - 30)/(5 - 2)
(y - 30)/(x - 2) = -18/3 x = -6
y - 30 = -6(x - 2) = -6x + 12
y = -6x + 42
Required equation is y + 6x = 42.
Answer:
The height of the parallelogram is 2.11 cm.
Step-by-step explanation:
Area of the parallelogram is equal to multiplication of base and height.
Given:
Parallelogram has base of 4.5 cm.
Are of the parallelogram is 9.495 cm².
Equation is 4.5x=9.495
Calculation:
(a)
Are of the parallelogram is the product of base length and height of the parallelogram.
Area of the parallelogram is expressed as follow:
A=lh
Substitute 9.495 cm² for A and 4.5 cm for l in above equation as follows:
9.495=4.5h …… (1)
Now relate the equation (1) and given equation. So, here x is nothing but the height of the parallelogram.
(b)
From equation (1), height of the parallelogram is calculated as follows:
9.495=4.5h
h=2.11 cm
Thus, the height of the parallelogram is 2.11 cm.
Answer:
64 ft²
Step-by-step explanation:
10 ft · 10 ft
100 ft²
6 · 6 = 36
36 ÷ 2 = 18
18 ft² + 18 ft² = 36 ft²
100 ft² - 36 ft²
64 ft²
Hi there!
This gets pretty easy once you understand how to do these kinds of problems. Let's look at the words in the question.
Adison earned 25$. We can push that to the side.
She loaned her friend 18$, which means she took some money away from her first part of it.
25 - 18 = 7$. Now she has 7$ left. (A calculator would be useful to answer these!)
Now, let's put the 7 to the side and check out the rest of the equation. Looks like Adison's grandmother gave her 50 more dollars, and we know that more means to add.
50 + 7 = 57$.
Now, the final part of the question says she ended up with 86$ because she had money before she earned more. To see how much money she had originally, we can subtract 86 from 57.
86 - 57 = 29$.
We now understand that Adison originally had 29$ before earning anymore money.
Hope this helps!
