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e-lub [12.9K]
3 years ago
11

Angela's coffee shop brewed seventy-one liters of coffee everyday for a week.The shop is open for 16 hours everyday.How many lit

ers of coffee did they brew for the whole week? Write an expression.
Mathematics
1 answer:
timofeeve [1]3 years ago
7 0

7 days x 71 liters = 497 liters

The 16 hours part is just thrown in there to distract you.

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Write the equation of a line that is perpendicular to y=-2x/7+9 and that passes through the point (4,−6)
Shtirlitz [24]

Answer:

  y = (7/2)x -20

Step-by-step explanation:

The given line is in slope-intercept form, so you can read its slope from the equation.

  y = mx + b . . . . . m is the slope; b is the y-intercept

  y = -(2/7)x + 9 . . . . . . has slope -2/7

The perpendicular line will have a slope that is the negative reciprocal of this, so will be ...

  m = -1/(-2/7) = 7/2

We can use this and the given point to write the equation in point-slope form.

  y = m(x -h) +k . . . . . . line with slope m through point (h, k)

We have m = 7/2, (h, k) = (4, -6) so the equation is ...

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4 0
3 years ago
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Amiraneli [1.4K]
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6 0
3 years ago
find the derivative with respect to x of f(x)=4x , and use it to find the equation of the tangent line to y=4x at x= 5
seropon [69]

Answer:

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A rectangular swimming pool that is 10 ft wide by 16 ft long is surrounded by a cement sidewalk of uniform width. If the area of
Alchen [17]
We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
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Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.

The value of x is <span>5 feet. </span>

5 0
3 years ago
Simplify this expression.<br> <img src="https://tex.z-dn.net/?f=2%5Csqrt5%2813%2B%5Csqrt2%29" id="TexFormula1" title="2\sqrt5(13
andreyandreev [35.5K]

Step-by-step explanation:

everything can be found in the picture

5 0
2 years ago
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