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forsale [732]
3 years ago
7

jennifer walks 8 miles in the same time she can jog 13 miles. if her jogging speed is 8mph faster than her walking speed, how fa

st does she walk?
Mathematics
1 answer:
Elanso [62]3 years ago
5 0

Answer:

12.8mph

Step-by-step explanation:

Let 'w' represent her walking speed

->if her jogging speed is 8mph faster than her walking speed

Jogging speed=  w+8

Using the time equation i.e time = dist/speed

For walking when distance is 8miles

time = dist / speed= 8/w hrs

For jogging when distance is 13miles

time = dist / speed= 13/(w+8) hrs

Equating the time

jog time = walk time

13/(w+8) = 8/w

By cross multiplying it

13w = 8w + 64

5w = 64

w=64/5

w=12.8mph

Therefore, 12.8mph is her walking speed.

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How are the triangles congruent? A) not congruent B) ASA C) SAS D) AAS
tatiyna

Answer:

A) not congruent.    You only know one side and one angle to be congruent.

Step-by-step explanation:

7 0
3 years ago
A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers
icang [17]

Answer:

\huge\boxed{14\ \text{and}\ 7}

Step-by-step explanation:

n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right

\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}

\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}

8 0
3 years ago
Question 4<br> 1 pts<br> Solve:<br> -(x-8)= -2<br> x = [a]
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Answer:

-[x-8]= -2

-x+8=-2

-x= -2-8

-x÷ -1=-10÷ -1

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7 0
3 years ago
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra
vaieri [72.5K]
Let r represent the radius of the smaller circle and R the radius of the larger
circle.

Apply ratios: the radius of the smaller circle to the radius of the larger circle.

r: R = 3 : 7.

I complete rotation = 360 degrees.

1st:

For one complete rotation of the smaller circle, the larger circle is rotated through (3/7)*(360) = 154.3 degrees

2nd:For one complete rotation of the larger circle, the larger circle is rotated through (7/3)*(360) = 840.0 degrees

This is equivalent to (840/360) = 2.3 rotations

Alternatively, use the ratios: The number of rotations = R/r = 7/3 = 2.3 rotations 

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8 0
3 years ago
Which one of the triangles shown is the image of the other triangle after dilation?What are the coordinates of the center of dil
Tanya [424]

Answer:

a) ΔF'G'H' is the image of ΔFGH

b)Center of dilation  (7,-1)

c) Scale factor: \frac{1}{2}

Step-by-step explanation:

Question a

Since the smaller triangle is named F'G'H', it means that, it is the image of triangle FGH.

Question B.

To find the center of dilation, draw straight lines through any two corresponding points.

The straight lines will meet at (7,-1).

This is called the center of dilation.

See graph in attachment.

Question c

The scale factor of the dilation is given by;

k=\frac{|F'G'|}{|FG|}

k=\frac{\sqrt{(4-5)^2+(1-5)^2}}{\sqrt{(3-1)^2+(3-11)^2}}

k=\frac{\sqrt{1+16}}{\sqrt{4+64}}

k=\frac{\sqrt{17}}{\sqrt{68}}

k=\frac{\sqrt{17}}{2\sqrt{17}}

k=\frac{1}{2}

7 0
3 years ago
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