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Katyanochek1 [597]
2 years ago
11

Whitney left school and drove 7 miles to meet her mother at a restaurant. Her mother left at the same time and drove 8 miles, tr

aveling 5 mi/h faster than her daughter. If the two arrived at the restaurant at the same time, what was Whitney’s speed?
Mathematics
1 answer:
Tresset [83]2 years ago
7 0

Answer:

40

Step-by-step explanation:

If Whitney was driving x speed, her mother was driving x+5. Multiply that by the distance each traveled, and you have an equation that looks like this:

8(x+5) = 7(x)

Simplify it and you get:

8x + 40 = 7x

Now solve regularly:

8x-8x + 40 = 8x - 7x

40 = 1x

40 = x

Whitney's speed: 40

Her mother's speed: 45

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A company has a cost equation of c=0.925x^2-4x+20 and a profit equation of p=-1.125x^2+6x+40. Solve for the breakeven point.
lana66690 [7]
0.925x^2 - 4x + 20 = -1.125x^2 + 6x + 40 (at break even point)

2.05x^2 - 10x - 20 = 0

x =  [ - (-10) +/- sqrt(100 - 4*2.05*-20) / (2*2.05) 

x =  6.40, -1.52   Ignore the negative 

Answer is  6.40


3 0
2 years ago
Please hurry will give Brainliest answer please quick
Keith_Richards [23]
Y is the answer so thank me later
4 0
2 years ago
Read 2 more answers
A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and
OLEGan [10]

Answer:

5.77\ \text{m}

11.54\ \text{m}

Step-by-step explanation:

p = Height of pole

h = Length of role

b = Distance between the bottom of the rope and bottom of the pole = 10 m

\theta = Angle between the rope and the ground = 30^{\circ}

\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}

The length of the rope is 5.77\ \text{m}

\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}

The length of the pole is 11.54\ \text{m}

3 0
2 years ago
La o ferma zootehnica sau rezervat pentru hrana vitelor 302340 kg de lucerna ?i cu 240003 kg de fan mai mult decât lucerna. Câte
kipiarov [429]

Salut!

Avem 302340 kg + 240003 kg = 542343 kg fan;

Atunci, vom avea 302340 kg + 542343 kg = 844683 kg de nutret;

Bafta!

3 0
2 years ago
Devaughn is 13 years younger than Sydney. The sum of their ages is 75 . What is Sydney's age?
barxatty [35]
S= Sydney
devaughn= s-13

so s+s-13=75
2s-13=75
now I think you can solve the rest.
6 0
3 years ago
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