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Shalnov [3]
2 years ago
15

MARY is making pillows for her new office. She bought 2 1/2 yards of fabric. Her

Mathematics
1 answer:
storchak [24]2 years ago
3 0
17 / 2.5 = 6.80 a yard
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Subtract -7n +2 from 2n - 1
Irina18 [472]
2n - 1    -      -7n + 2     You combine like terms with subtracting
2n - 7n = -5n
-1 - 2 = -3
So -7n + 2     -     2n - 1 = -5n - 3
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3 years ago
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At a store, a hat has a regular price of a dollars. During a sale, the price of that hat is discounted by 20%.The expression 0.8
OlgaM077 [116]

Answer:

Question?

Is the wording: price of "a" dollars, (in italics)?

If so, the equation would be:

0.8a

Otherwise, if "x" represents the regular price, then the equation would be:

0.8x

Step-by-step explanation:

8 0
3 years ago
On a coordinate plane, parallelogram R S T U has points (negative 4, 4), (2, 6), (6, 2), and (0, 0). What is the area of paralle
Ad libitum [116K]

Answer:

The area of the parallelogram is;

32 square units

Step-by-step explanation:

The given parameters are;

The coordinates of the parallelogram RSTU = R(-4, 4), S(2, 6), T(6, 2), and U(0, 0)

We note that the area of a parallelogram = Base length × Height

From the drawing of the parallelogram RSTU, we have;

The base length = The length of \overline {TU} = The length of \overline {SR} = √((2 - (-4))² + (6 - 4)²) = 2·√10

The height of a parallelogram is perpendicular to its base length = The line \overline {VT}

∴ Where, the slope of the base length = m, the slope of the height = -1/m

The slope, 'm' of \overline {SR} = (6 - 4)/(2 - (-4)) = 1/3

Therefore, the slope of the height = -1/(1/3) = -3

We note that a point on the height is the point 'T', therefore, the equation of the line in point and slope form is therefore;

y - 0 = -3·(x - 0)

∴ y = -3·x

Therefore, the coordinates of the point 'V' is given by the simultaneous solution of the equations of \overline {SR} and \overline {VT}

The equation of the line \overline {SR} in point and slope form from the point 'R' and the slope 'm = 1/3' is given as follows;

y - 4 = (1/3) × (x - (-4)) = (1/3) × (x + 4)

y = x/3 + 4/3 + 4 = x/3 + 16/3

y = x/3 + 16/3

We then have the coordinate at the point 'V' (x, y) is given as follows;

-3·x = x/3 + 16/3

-9·x = x + 16

-10·x = 16

x = -16/10 = -1.6

x = -1.6

∴ y = -3·x = -3 × -1.6 = -4.8

y = 4.8

The coordinate at the point, V = (-1.6, 4.8)

The length of the line \overline {VT} = The height of the parallelogram = √((-1.6 - 0)² + (4.8 - 0)²) = 8/5·√10

The height of the parallelogram = 8/5·√10

The area of the parallelogram, A = Base length × Height

∴ A = 2·√(10) × 8/5·√(10) = (16/5) × 10 = 32

The area of the parallelogram, A =  32 square units.

6 0
3 years ago
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F(x)=2x^2+7x-5+g(x)=-8x^2-3x+5<br><br> what is g(x) + f(x)
Licemer1 [7]
F(x) = 2x² + 7x - 5
g(x) = -8x² - 3x + 5

g(x) + f(x)
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-8x² + 2x² - 3x + 7x + 5 - 5
-6x² + 4x + 0

-2x(3x - 2)
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How can you use a number line to represent the subtraction between two integer's?
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Ex: you can do 5-3 by putting a dot on the five and looping back 3 spaces. Hope it helps!
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