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Alex73 [517]
3 years ago
7

Caroline drove 350 miles to her grandmother’s house. The trip took her 5 1/4 hours. What was her average speed in miles per hour

?
Mathematics
2 answers:
Shalnov [3]3 years ago
7 0
64 hours per hour average
350 miles ÷5.25 hours in which it took= 63.63 rounded is 64 mph average
jok3333 [9.3K]3 years ago
5 0
350/ 5 1/4
350/5.25
66.67
Caroline went 66.67 (or 67 if rounding up) miles per hour.
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Find the x-intercepts of the parabola with vertex (-5,80) and y-intercept (0,-45). Write your answer in this form (x of 1 , y of
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A parabola is a quadratic function, and a quadratic can be expressed in vertex form, which is:

y=a(x-h)^2+k, where (h,k) is the vertex (absolute maximum or minimum point of the quadratic)

In this case we are given that (h,k) is (-5,80) so we have so far:

y=a(x--5)^2+80

y=a(x+5)^2+80, we are also told that it passes through the point (0,-45) so:

-45=a(0+5)^2+80

-45=25a+80  subtract 80 from both sides

-125=25a  divide both sides by 25

-5=a, so now we know the complete vertex form is:

y=-5(x+5)^2+80

The x-intercepts occur when y=0 so:

0=-5(x+5)^2+80  add 5(x+5)^2 to both sides

5(x+5)^2=80  divide both sides by 5

(x+5)^2=16  take the square root of both sides

x+5=±√16  which is

x+5=±4  subtract 5 from both sides

x=-5±4 so the x-intercepts are:

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3 years ago
PLEASE HURRY WILL GIVE BRAINLIEST A truck can be rented from Company A for $90 a day plus $0.30 per mile. Company B charges $70
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Answer:

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The difference in fixed charge is $20; the difference in mileage charge is $0.50 per mile. So it will take $20/$0.50 = 40 miles for the extra mileage cost to eat up the savings in fixed cost. At that mileage, both companies will charge the same amount:

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Answer:

El aumento del precio de costo único equivalente es un aumento del 20,96% en el precio de costo

Step-by-step explanation:

Los parámetros dados son;

El porcentaje de aumento en el precio de costo que Augustin vende artículos de cuero = 8%

El aumento adicional de Augustin se aplica cuando usó cuero de mayor calidad = 12%

Sea x el precio de costo

Tenemos, el primer precio de venta = 1.08 × x

El precio de venta del cuero de alta calidad = 12% adicional al precio de venta anterior

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Answer (quite straightforward):

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