If 5 over 6 gallon covers 1 over 4 of the house then how much paint is needed for the entire house

1 answer:

4 0

If 5/6 gallons covers a quarter of the house, then you would need 4 times as much paint:
$\frac{5}{6} \times 4$
Which is 20/6 gallons or 3 and 1/3 gallons
Hope this helped

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How do you graph this f(x)= -3/2|x|+5 if x≤4

LenaWriter [7]

Answer:

see below

Step-by-step explanation:

I enter the equation into a graphing calculator and let it do the graphing.

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If you're graphing this by hand, you start by looking for the parent function. Here, it is |x|. That has a vertex of (0, 0) and a slope of +1 to the right of the vertex and a slope of -1 to the left of the vertex.

Here, the function is multiplied by -3/2, so will open downward and have slopes of magnitude 3/2 (not 1). The graph has been translated 5 units upward, so the vertex is (0, 5).

I'd start by plotting the vertex point at (0, 5), then identifying points with slope ±3/2 either side of it. To the left, it is left 2 and down 3 to (-2, 2). The points on the right of the vertex are symmetrically located about the y-axis, so one of them will be (2, 2).

Of course, you don't plot any function values for x > 4.

8 0

3 years ago

Need help on this!!!!

Alexxandr [17]

Answer:

(a) area = 3y^2 +14y +16
(b) perimeter = 8y +20

Step-by-step explanation:

Part of the point of Algebra is that you can work with things that stand for numbers (almost) as easily as working with numbers themselves. Here, you are given values that stand for the length and width of the rectangle.

(a) You know the area of a rectangle is found by multiplying its length by its width. The same is true when length and width are algebraic expressions that stand for those numbers.

Given: length = 3y+8, width = y+2

Find: area = length × width

Solution:

area = (3y+8) × (y+2)

Using the distributive property, we can perform this multiplication in essentially the same way we would for the numbers 38 and 12.

area = 3y(y +2) +8(y +2) equivalent to 30(12) +8(12)

= 3y^2 +6y +8y +16 equivalent to 30·10 +30·2 +8·10 +8·2

area = 3y^2 +14y +16 equivalent to 3·10^2 +14·10 +16

(Of course, with numbers, there are relationships between units and tens and hundreds that let us further combine terms. When variables are involved, we can combine terms with the same power of the variable, but we cannot combine "y" terms with "y^2" terms the way we can with numbers.)

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(b) The perimeter is the sum of the lengths of the four sides of the rectangle. Since two of those sides are "length" and two are "width", we can write ...

perimeter = 2(length + width)

Making the substitution for length and width as defined above, we have

perimeter = 2((3y+8) + (y+2))

= 2(3y+y + 8+2) = 2(4y +10)

perimeter = 8y +20

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3 years ago

What property is 5x6x7=5x7x6

stich3 [128]

Commutative Property

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4 years ago