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o-na [289]
4 years ago
7

Geri is in a marathon race it took her 3 hours and 28 minutes to run 26 miles how many minutes did it take her to run 1 mike if

she ran at the same rate for the whole race
Mathematics
1 answer:
Ivan4 years ago
4 0

Answer:

It will take 8 minutes

Step-by-step explanation:

3 hours 28 minutes = how many minutes

3 hours * 60 minute/hour = 180 minutes

3 hours 28 minutes =180 +28 = 208 minutes


We can use proportions to solve

26 miles               1 mile

---------------    =   --------------

208 minutes           x minutes

Using cross products

26 * x = 208 *1

26x = 208

Divide by 26

26x/26 = 208/26

x = 8

It will take 8 minutes

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26 rooms on 2 floors = ____ rooms on 4 floors
sesenic [268]

Answer:

There would be 104 rooms on 4 floors in total.

Step-by-step explanation:

If there were 26 rooms on 2 floors, then you multiply 26 x 4, the result would be 104 rooms on 4 floors in total.

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2 years ago
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Show that if A is​ invertible, then det Upper A Superscript negative 1det A−1equals=StartFraction 1 Over det Upper A EndFraction
netineya [11]

Answer:

Therefore  

 det(A)*det(A^{-1}) = 1      and         det(A^{-1}) = 1/det(A)

Step-by-step explanation:

Remember that  if  

I  =  Identity Matrix    

then    det(I)=1.

Also remember that for any invertible matrix  

A*A^{-1}  = I =Identity Matrix.

Therefore    

det(A*A^{-1})  = det(A)*det(A^{-1}) = det(I) = 1

Therefore  

 det(A)*det(A^{-1}) = 1      and         det(A^{-1}) = 1/det(A)

7 0
3 years ago
PLZ NEED HELP QUESTION IN THE PICUTRE
notsponge [240]

Answer:

<em>Option B</em>

Step-by-step explanation:

<u>Congruent Triangles</u>

The SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both triangles are congruent, then the two triangles are similar.

The triangles \Delta LKN\ and\ \Delta KNM are congruent if the relation between LK and KN is the same as the relation between KN and MN, that is

\displaystyle \frac{4}{2}=\frac{2}{MN}

It means that

MN=1

Option B

6 0
3 years ago
Five friedns share three pizzas that cost 12.75 how much do each of them pay
Aliun [14]
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12.75 divided by 5 = 2.55
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3 years ago
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