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2 years ago

Anika buys a pair of shin guards for $8.58 and several pairs of soccer socks for $4.29 per

Mathematics

1 answer:

notka56 [123]2 years ago

7 0

Answer:

The answer is 4 pairs of socks

Step-by-step explanation:

So basically long story short, this is a simple division and multiplication problem.

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An airliner maintaining a constant elevation of 2 miles passes over an airport at noon traveling 500 mi/hr due west. At 1:00 PM,

butalik [34]

Answer:

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

Step-by-step explanation:

Let suppose that airliners travel at constant speed. The equations for travelled distance of each airplane with respect to origin are respectively:

First airplane

$r_{A} = 500\,\frac{mi}{h}\cdot t\\r_{B} = 550\,\frac{mi}{h}\cdot t$

Where t is the time measured in hours.

Since north and west are perpendicular to each other, the staight distance between airliners can modelled by means of the Pythagorean Theorem:

$s=\sqrt{r_{A}^{2}+r_{B}^{2}}$

Rate of change of such distance can be found by the deriving the expression in terms of time:

$\frac{ds}{dt}=\frac{r_{A}\cdot \frac{dr_{A}}{dt}+r_{B}\cdot \frac{dr_{B}}{dt}}{\sqrt{r_{A}^{2}+r_{B}^{2}} }$

Where $\frac{dr_{A}}{dt} = 500\,\frac{mi}{h}$ and $\frac{dr_{B}}{dt} = 550\,\frac{mi}{h}$ , respectively. Distances of each airliner at 2:30 PM are:

$r_{A}= (500\,\frac{mi}{h})\cdot (1.5\,h)\\r_{A} = 750\,mi$

$r_{B}=(550\,\frac{mi}{h} )\cdot (1.5\,h)\\r_{B} = 825\,mi$

The rate of change is:

$\frac{ds}{dt}=\frac{(750\,mi)\cdot (500\,\frac{mi}{h} )+(825\,mi)\cdot(550\,\frac{mi}{h})}{\sqrt{(750\,mi)^{2}+(825\,mi)^{2}} }$

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

6 0

2 years ago

PLS HELP ME ASAP ON 12 (SHOW WORK!) + LOTS OF POINTS!!

Rom4ik [11]

The first thing you do is cross multiply which is 3/4x=48 (3/4 = 0.75). Therfore you divide each side by .75. The left side cancels out. For the right side you divide 48 by .75 and gives you 64. x=64

6 0

2 years ago

1. Ashton rode his bicycle 3.25 miles in 12 minutes. What was Ashton's average rate in miles per hour

Contact [7]

Answer: the answer is 3.6 mph

Step-by-step explanation: to find the average speed you need to divide your total distance by total time. Im this case you need to divide 12 by to find the average speed you need to divide your total distance by total time. Im this case you need to divide 12 by 3.25

6 0

2 years ago

Write 2% as a reduced fraction

ANTONII [103]

2% as a reduced fraction is 2/100 = 1/50

3 0

2 years ago

Read 2 more answers

prism x is showen below. the volume of prism y is 10 cubic cm greater than the volume of prism x. what is the volume of prism y.

Vlad1618 [11]

Answer:

it’s 3 x 2x 5 = 30

Then use that product and times it by 10. ( 10 x 30 )

Ans = 300 cubic centimeters

Step-by-step explanation:

3 x 5 x 2 = 30

30 x 10 = 300

Ans = 300 cubic centimeters

4 0

1 year ago