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jeka94
3 years ago
6

Divide. Write your answer in simplest form. 7/10 divided by 5/16

Mathematics
1 answer:
nlexa [21]3 years ago
7 0

Answer:

\frac{56}{25}

Step-by-step explanation:

Exact Form:

\frac{56}{25}

Decimal Form:

2.24

Mixed Number Form:

2\frac{6}{25}

______________________

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During summer vacation, Brooke read, on average, 6 pages per night. Once she returned to school, she averaged 9 pages per night.
Monica [59]
There is a 50% increase. 6 x 1.5 = 9
4 0
3 years ago
Line ℓ1 has the equation
aleksley [76]

Answer:

\sqrt{2} units

Step-by-step explanation:

The Line 1 has equation x + y = 5 ....... (1) , and  

Line 2 has equation x + y = 3 .......... (2)

Now, we have to find the perpendicular distance between line 1 and line 2.

We can say that (3,0) is a point on line 2 as it satisfies the equation (2).

Now, the perpendicular distance from point (3,0) to the line 1 will be given by the formula

\frac{|3 + 0 - 5|}{\sqrt{1^{2}+ 1^{2}}} = \frac{2}{\sqrt{2}} = \sqrt{2} units (Answer)

We know that the perpendicular distance from any external point (x_{1},y_{1}) to a given straight line ax + by + c = 0 is given by the formula \frac{|ax_{1} + by_{1} + c|}{\sqrt{a^{2} + b^{2}}}.

3 0
3 years ago
if a snowball rolls down a hill and its surface area increaces at a rate of 18cm^2/min, find the rate at which the radius increa
sp2606 [1]

Answer: dr/dt = 9/(24pi)  cm per minute

9/(24pi) is approximately equal to 0.119366

=============================================

Work Shown:

Given info

dS/dt = 18 cm^2/min is the rate of change of the surface area

r = 6 cm is the radius, from the fact that the diameter is 12 cm

--------

Use the surface area equation given, apply the derivative, plug in the given values and then isolate dr/dt which represents the rate of change for the radius

S = 4*pi*r^2

dS/dt = 2*4*pi*r*dr/dt

dS/dt = 8*pi*r*dr/dt

18 = 8*pi*6*dr/dt

18 = 48*pi*dr/dt

48pi*dr/dt = 18

dr/dt = 18/(48pi)

dr/dt = (9*2)/(24*2pi)

dr/dt = 9/(24pi)

The units are cm per minute, which can be written as cm/min.

3 0
3 years ago
Put in order least to greatest<br><br><br> 0.715 7/15 0.65
finlep [7]
7/15, 0.65, .0715
7/15 = .467

Hope this helps you! (:
-PsychoChicken4040
7 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through the given point and is parallel to the given line. (5, -4); y = 1/5x - 4
kow [346]

parallel = same slope

y=1/5x-4

slope= 1/5x

solve using for b using y=mx+b

-4=(1/5)(5)+b

-4=4+b

(subtract -4 from both sides)

-8=b

put your equation together:

y=1/5x-8

8 0
2 years ago
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