MATHEMATICS HIGH SCHOOL

Karl rides his bicycle 120 feet in 10 seconds. How many feet does he ride in 1 minute?

Answers

Answer 1

Answer: take 120 and *times it by 6 because there are 60 seconds in a minute. So you answer is . does that help?

Answer 2

Answer:

Answer:

720

Step-by-step explanation:

120/10 to find his feet per second which is 12 feet per second

12*60

since there are 60 seconds in a minute

= 720

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Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours.Which equation can be used to find the time it took Stu to hike the trail?

3t = 5
3t = 5(3 – t)
3 + t = 5 + (3 – t)
3t + 5(3 – t) = 3

Answers

Answer:

The correct answer:

B.) 3t = 5(3 – t)

Step-by-step explanation:

Drag each tile to the correct cell in the table.

Trip to end of trail — 3, t, 3t

Trip back — 5, 3 - t, 5(3 - t)

Tap the THANKS button and RATE ⭐️

(If helpful)

Final answer:

For a problem involving distance, rate, and time, the equation 3t + 5(3 - t) = 3 can be used to find the time it took for Stu to hike the trail. In it, 't' is the time hiking, and the equation represents the total distance he traveled set equal to his total travel time

Explanation:

For this kind of problem, it is key to remember that distance is equal to speed times time (this is often stated as distance = rate x time or d = rt). In this case, you need to find the time it took Stu to hike the trail. As Stu hiked at an average rate of 3 miles/hour and ran at a faster speed of 5 miles/hour, we can create the equation in terms of 't', where 't' is the time it takes to hike.

Because the total time he was traveling (hiking and running) is 3 hours, the correct equation is 3t + 5(3 – t) = 3. This equation represents the distance that Stu hiked (3t) plus the distance that he ran (5 times the remaining time), equaling the total distance that he traveled. To solve for 't', you would set these two terms equal to the total travel time of 3 hours.

Learn more about Rate, Time and Distance here:

brainly.com/question/35683374

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47 1/2 of what number is 190

Answers

$47 (1)/(2) \cdot x=190\n \n (47\cdot2+1)/(2) \cdotx=190\n \n (95)/(2) \cdot x=190\ /\cdot (2)/(95) \n\nx= (190)/(1) \cdot (2)/(95)\n \nx=2\cdot2\n \nx=4$

The word "of" is a substitution of the multiplicative operation, so re-writing your problem statement, we get:

47.5*x = 190

solving for x

x = 190/47.5 = 4

thus your number is 4

How to expand and simplify (2x+3y)(x-y)

Answers

(2*x+3*y)*(x-y) this is expanded form

Multiply (2x)(x-y). Then Multiply (3x)(x-y). After that, you have to add the two. If you want it to be simplified, add the x together, and then add the y together. :)

120, 160, 200

Find the gcf

please show me the work.

Answers

$120|\fbox{2}\n..60|\fbox{2}\n..30|\fbox{2}\n..15|3\n....5|\fbox{5}\n....1|\n-------------\n160|\fbox{2}\n..80|\fbox{2}\n..40|\fbox{2}\n..20|2\n..10|2\n....5|\fbox{5}\n....1|$
$----------\n200|\fbox{2}\n100|\fbox{2}\n..50|\fbox{2}\n..25|\fbox{5}\n....5|5\n....1|$

$GCF(120;\ 160;\ 200)=2*2*2*5=40$

Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60,120

Factors of 160:
1, 2, 4, 5, 8, 10,16, 20, 32, 40, 80, 160

Factors of 200:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Common Factors:
1, 2, 4, 5, 8, 10, 20, 40

Greatest Common Factor:
40

The two points (-2,4) and (4,2) are the endpoints of the diameter of a circle. What is the equation of this circle in standard form?

Answers

$Center\ of\ the\ circle\ is\ the\ midpoint\ AB\ where\ A(-2;\ 4)\ \&\ B(4;\ 2)\n\ncenter:O\left((-2+4)/(2);\ (4+2)/(2)\right)\to O(1;\ 3)\n\nRadius\ of\ the\ circle\ is\ distance\ O\ to\ A:\n\nr=|OA|=√((-2-1)^2+(4-3)^2)=√(9+1)=√(10)\n\nEquation\ of\ a\ circle:\n\n(x-a)^2+(y-b)^2=r^2\ whete\ center\ is\ (a;\ b)\ and\ radius\ is\ r.\n\nEquation\ of\ this\ circle:\n\n(x-1)^2+(y-3)^2=(√(10))^2\n\n(x-1)^2+(y-3)^2=10$

Kris bought a new fur coat for $8,000. She must pay 5% sales tax and 7% excise tax. The furrier is shipping the coat so kris must also pay a $15 insurance charge. What is the total purchase price of the coat?

Answers

0.05 x 8000 = 400
0.07 x 8000 = 560
8000 + 560 + 400 = 8960
8960 +15 = 8,975
Total Price = $8,975

Well, first we have to find out what 5% and 7% of 8,000 is and then add the three numbers up.
.05*8,000=400
.07*8,000=560
400+560+8,000=8960
And finally, we add that extra fee.
8960+15=$8,975
Hope it Helps!!! :)

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