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vladimir1956 [14]
4 years ago
12

Walking at a speed of 3 mph, Jack gets to school in 10 minutes and arrives at school right before the class starts. Today Jack n

eeds to be at school 4 minutes earlier. How fast does Jack need to run this morning?
Mathematics
1 answer:
REY [17]4 years ago
7 0

Answer:

Jack needs to run at a speed of 1/12 mph

Step-by-step explanation:

Mathematically;

speed = distance/ time

Distance = speed * time

10 minutes = 10/60 h = 1/6 hours

The distance to the school will be

Distance = 3 * 1/6 = 1/2 = 0.5 miles

Now, he needs to be at school 4 minutes earlier, time will now be 10 - 4 = 6 minutes

To get the speed here;

Recall that the distance from above does not change

So speed = 0.5/6 mph 0r 1/12 mph

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Answer:

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5 0
3 years ago
A log splitter can split 6 5 cords of wood in 4 5 of a hour. Compute the unit rate by setting up a complex fraction and simplify
Aleksandr-060686 [28]
The answer is 1.5 or 1 1/2.
here is the how you get this answer.
1: Cross Multiply (1.2)(60)=x
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7 0
4 years ago
Read 2 more answers
Convert the polar coordinates (-3, -60°) to Cartesian coordinates.
notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x

#Using the illustration above, we can express our polar coordinates as:

-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}

#Solve simultaneously to solve for x and y:

(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\  y \ in\  i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0
3 years ago
7/2 ≥ b + 9/5. and btw, the ones that has the slashes are fractions. :3
Ainat [17]

Answer:

I believe it's

* B. b<1 7/10

I'm sorry if its wrong

6 0
3 years ago
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Alisiya [41]

Answer:

When variables are next to a number or another variable it means multiply

Product means multiply

16 x p is what the sentence means in an equation and 16p is equal to 16 x p so B. is correct

Step-by-step explanation:

8 0
3 years ago
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