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3 years ago

Leila runs 4 miles in 30 minutes. At the same rate, how many minutes would she take to run 10 miles?

2 answers:

6 0

$\bf \begin{array}{ccllll}
miles&minutes\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
4&30\\
10&x
\end{array}\implies \cfrac{4}{10}=\cfrac{30}{x}$

solve for "x"

Marizza181 [45]3 years ago

3 0

30/4=7.5. 7.5 minutes every mile... That means that she ran 75 minutes

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The surface area of a cone with radius r units and slant height s units is shown below:

Diano4ka-milaya [45]

Step-by-step explanation:

part A:

$Area_{_{surface}}=3.14*(3*5+3^2);$

part B:

$Area_{_{surface}}=3.14*(15+9)=3.14*24=75.36[units^2].$

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2 years ago

Marley is a waitress. On Thursday, she earned $4.60 per hour plus $50.25 in tips. How many hours did she work that day if she ea

ELEN [110]

Answer:

8 hours

Step-by-step explanation:

1. Subtract value of tips she got that day

87.05 - 50.25 = 36.8

36.8 is the actual payment for her job that day

2. Divide 36.8 with paid/hour (4.6)

36.8 ÷ 4.6 = 8 hours

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3 years ago

4. The reflecting dish of a parabolic microphone has a cross-section in the shape of a parabola. The microphone itself is placed

elixir [45]

Assume the parabola is placed on a graph where the x-axis is the top of the dish.
The vertex is then at (0,-30) The x-intercepts or zeros are at (-30,0) and (30,0)

The equation of such parabola would be:
$y = a(x+30)(x-30)$
Plug in vertex to find value of 'a'
$-30 = a(0+30)(0-30) \\ \\ a = \frac{-30}{(-30)(30)} = \frac{1}{30}$

Now find the focus given that $p = \frac{1}{4a}$
$p = \frac{1}{4(1/30)} = \frac{30}{4} = 7.5$

Answer: the microphone should be placed 7.5 inches from vertex.

8 0

4 years ago

Please help! How many inches is this?

makvit [3.9K]

I’d help but the image isn’t working its all blurry on my end fam sorry

8 0

4 years ago

Read 2 more answers

Find the point on the plane 2x+5y+z=8 that is nearest to (2,0,1).

Svetach [21]

Answer:

(2.2, 0.5, 1.1)

Step-by-step explanation:

The parametric equation of the line normal to the plane and through point (2, 0, 1) can be written ...

... L = (2, 0, 1) + t(2, 5, 1)

We want to find the value of t (and the corresponding point) that makes L satisfy the equation of the plane.

... 2(2+2t) +5(0 +5t) +1(1+t) = 8 . . . . . put values from L in for x, y, z in plane

... 5 + 30t = 8 . . . . . simplify

... t = (8 -5)/30 = 0.1 . . . . solve for t (subtract 5, divide by 30)

For this value of t, L is ...

... (2, 0, 1) + 0.1(2, 5, 1) = (2.2, 0.5, 1.1)

5 0

3 years ago