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kvv77 [185]
3 years ago
15

Miguel biked 14 km in the same amount of time that linda hiked 10 km. Miguel's rate was 4 km/h more than linda's. How fast did e

ach travel
Mathematics
1 answer:
matrenka [14]3 years ago
3 0

The first thing we must do is define a variable.

We have then:

x: Linda's speed.

Then, by definition, the time traveled is equal to the distance between the velocity.

We have then:

For Linda:

t = \frac{10}{x}

For Miguel:

t = \frac{14}{x + 4}

Then, since time is the same, then:

\frac{10}{x} = \frac{14}{x + 4}

Clearing Linda's speed we have:

10 (x + 4) = 14x

10x + 40 = 14x

40 = 14x-10x

40 = 4x

x = \frac{40}{4}

x = 10

Then, Miguel's speed is:

x + 4 = 10 + 4 = 14

Answer:

Linda's speed is 10 Km/h

Miguel's speed is 14 Km/h

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Step-by-step explanation:

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Help me pls guys/girls
Kamila [148]

Answer:

 V = 9.828 * 10^7 mm^3

a= 9.828  b = 7

9,827,000  mm^3

Step-by-step explanation:

The volume of a rectangular prism is

V = l*w*h

V = 1.2 *10^3  * 3.9*10^2  * 2.1*10^2

We multiply the numbers out front and add the exponents  (the powers of 10)

V = (1.2*3.9*2.1)  * 10^(3+2+2)

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Rewriting this in standard form means moving the decimal 7 places to the left.  Since there is not enough places add zeros

9,827,000  mm^3

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2 years ago
If angle 2 and angle 3 are supplementary, what is the reason
kondaur [170]
They add up to 180 degrees
4 0
3 years ago
The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,750 per day. FSF supplies hot dogs to local restaurants a
NARA [144]

Answer:

A) 22812 hotdogs per run

B) 75 runs/yr

C) 4 days in a run

Step-by-step explanation:

We are given;

Production rate;p = 5750 per day

Steady Usage rate;u = 270 per day

Setup cost of hotdog;S = $67

Annual carrying cost (H) = 47 cents = $0.47 per hot dog

No. of Production days; d = 297 days

A) Let's first find the annual demand given by the formula;

Annual demand;D = pd

D = 5750 × 297

D = 1707750 hot dogs/yr

Now, formula for optimal run size is given by;

Q_o = √[(2DS/H) × (p/(p - u))]

Plugging in the relevant values gives;

Q_o = √[(2 × 1707750 × 67/0.47) × (5750/(5650 - 270))]

Q_o =√520375454.7971209

Q_o = 22812 hotdogs per run

B) formula for Number of runs per year is given as;

No. of Runs = D/Q₀

Thus;

no. of runs = 1707750/22812

no. of runs ≈ 75 runs/yr

C) Length of a run is given by the formula;

Length = Q₀/p

Length = 22812/5750

Length ≈ 4 days in a run

6 0
2 years ago
Add the equations. What value belongs in the green box? 3x + 2y = 9 -x - 2y = 4 [?] + [?] = [?] A. 4x B. 2x C. -3x D. -2x​
Naddika [18.5K]

Consider the first blank is the green box.

Given:

The equations are

3x+2y=9

-x-2y=4

To find:

The value belongs in the green box

Solution:

We have,

3x+2y=9        ...(i)

-x-2y=4        ...(ii)

Adding (i) and (ii), we get

3x+2y-x-2y=9+4

(3x-x)+(2y-2y)=13

2x+0=13

So, the value for the first black is 2x. It means the value belongs in the green box is 2x.

The values of three blanks are 2x, 0 and 13 respectively.

Therefore, the correct option is B.

6 0
2 years ago
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