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Masja [62]
2 years ago
15

Rita runs 6 miles in 44 minutes. At the same rate, how many minutes would she take to run 9 miles?

Mathematics
1 answer:
kherson [118]2 years ago
5 0

You run 0.5 miles every 3 minutes => 1 mile every 6 minutes. Your friend runs 2 miles every 14 minutes => 1 mile every 7 minutes. You run a whole number of miles every number of minutes that is a multiple of 6. Your freind runs a whole number of miles every number of minutes that is a multiple of 7 Then the least possible number of miles that you both run to end at the same time is the least common factor of 7 and 6 minutes. This is 7 * 6 = 42 minutes. You will have run 42 min / (6 miles/min) = 7 miles, and your friend will have run 42 min / (7 miles/min) = 6 miles




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A ball is chosen at random from a bag containing 150 balls that are either red or blue and either dull or shiny. There are 36 re
tino4ka555 [31]

Answer:

The probability of the chosen ball being shiny conditional on it being red is; 0.375

Step-by-step explanation:

Let A be the event that a red ball has been chosen

Let B be the event that a shiny ball has been chosen

Let S be the total outcomes = 150 balls

Thus;

P(A ∩ B ) = 36/150

A ∩ B' = 150 - 36 - 54

A ∩ B' = 60

Thus; P(A ∩ B') = 60/150

P(A') = 54/150

P(A) = (150 - 54)/150 = 96/150

Thus, probability of the chosen ball being shiny conditional on it being red is;

P(B | A) = P(B ∩ A)/P(A)

Thus; P(B | A) = (36/150)/(96/150)

P(B | A) = 0.375

8 0
2 years ago
Given: CB bisects
marin [14]

Answer:

Answer to fourth part is :

Angle ABC= Angle DBC

So for fifth part reason answer is ASA congruency.

Step-by-step explanation:

Here we are given that CB bisects angle ABD and angle ACD.

So we have ,

Angle ABC= Angle DBC

Answer to fourth part is :

Angle ABC= Angle DBC

Now here we have two angles and one side equal in two triangles.

So we can say that ASA congruency fits in the best here.

So for fifth part reason answer is ASA congruency.

4 0
3 years ago
Help me please thanks
Svetach [21]
I think it's along the y-axis..... 
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The function f(x) = x2 + 10x – 3 written in vertex form is f(x) = (x + 5)2 – 28. What are the coordinates of the vertex?
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The vertex of the quadratic equation is (-5, - 28). In vertex form, y = a(x - h)2<span> + </span><span>k, (h, k) is the vertex of the equation.</span>
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tigry1 [53]
Area abc def cuase its 126-72+28=82 so abc def

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