A worm moves forward 3/8 inch every 5 minutes for 1 hour 25 minutes. How fast does the worm move in this time?

Mathematics

2 answers:

Alina [70]4 years ago

6 0

Multiply 3/8 inch by 75 and divide by 5

Genrish500 [490]4 years ago

3 0

1 hour 25 min = 60 min + 25 min = 85 min
85 min ÷5 min =17
7 x 3/8= 51/8 =6 3/8 inches

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gizmo_the_mogwai [7]

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Step-by-step explanation:

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3 years ago

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nexus9112 [7]

$12)\\\left\{\begin{array}{ccc}y=-2x+3&(*)\\2x+5y=7\end{array}\right\qquad\text{put}\ (*)\ \text{to the second equation}\\\\2x+5(-2x+3)=7\qquad\text{use distributive property}\\2x+(5)(-2x)+(5)(3)=7\\2x-10x+15=7\qquad\text{subtract 15 from both sides}\\-8x=-8\qquad\text{divide both sides by (-8)}\\\boxed{x=1}\\\\\text{Put the value of x to}\ (*)\\\\y=-2(1)+3\\y=-2+3\\\boxed{y=1}\\\\Answer:\ x=1,\ y=1\to(1,\ 1)$

$14)\\\left\{\begin{array}{ccc}x=y-4&(*)\\x-2y=-6\end{array}\right\qquad\text{put}\ (*)\ \text{tu the second equation}\\\\(y-4)-2y=-6\\y-4-2y=-6\qquad\text{add 4 to both sides}\\-y=-2\qquad\text{change the signs}\\\boxed{y=2}\\\\\text{Put the value of y to}\ (*)\\\\x=2-4\\\boxed{x=-2}\\\\Answer:\ x=-2,\ y=2\to(-2,\ 2)$

$16)\\\left\{\begin{array}{ccc}x=-4y+3&(*)\\5x-3y=-31\end{array}\right\qquad\text{put}\ (*)\ \text{to the second equation}\\\\5(-4y+3)-3y=-31\qquad\text{use distributive property}\\(5)(-4y)+(5)(3)-3y=-31\\-20y+15-3y=-31\qquad\text{subtract 15 from both sides}\\-23y=-46\qquad\text{divide both sides by (-23)}\\\boxed{y=2}\\\\\text{Put the value of y to }\ (*)\\\\x=-4(2)+3\\x=-8+3\\\boxed{x=-5}\\\\Answer:\ x=-5,\ y=2\to(-5,\ 2)$