Solve for L P = 2l + 2w if W = 7 inches and P = 42 inches
2 answers:
Answer: L = 14
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
<u>Given information</u>
W = 7
P = 42
<u>Given expression</u>
P = 2L + 2W
<u>Substitute values into the expression</u>
42 = 2L + 2 (7)
<u>Simplify by multiplication</u>
42 = 2L + 14
<u>Subtract 14 on both sides</u>
42 - 14 = 2L + 14 - 14
28 = 2L
<u>Divide 2 on both sides</u>
28 / 2 = 2L / 2
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Answer:
15 pounds of onions are needed in the recipe.
Step-by-step explanation:
Total gallon of chopped onion needed for the recipe = 1 1/2 gallons
Solving the mixed fraction, we get
So, the chopped onion needed = 1.5 gallons
Also, 1 gallon = 160 ounces
So, 1.5 gallon = 1.5 x (160) ounces = 240 ounces
⇒ 1.5 gallon = 240 ounces
Now, 1 ounce = 0.0625 pounds
⇒ 240 ounces = 240 x 0.0625 pounds = 15 pounds
Hence, 15 pounds of onions are needed in the recipe.
Answer:
y = -2x - 2
Step-by-step explanation:
From the graph attached,
If the line 'l' passes through two points A(0, -1) and B(4, 1).
Rule for the rotation of any point (x, y), 90° clockwise about the origin is,
(x, y) → (y, -x)
By this rule,
A(0, -1) → A'(-1, 0)
B(4, 1) → B'(1, -4)
Let the equation of the line A'B' is,
y - y' = m(x - x')
where m = slope of the line A'B'
And (x', y') is a point lying on the line.
Slope of the line passing through A' and B' will be,
m =
m =
m = -2
Therefore, equation of the line passing through (-1, 0) and slope = -2,
y - 0 = (-2)(x + 1)
y = -2x - 2
So the equation of the line after rotation of lie 'l' by 90° clockwise will be,
y = -2x - 2
