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Anastasy [175]
3 years ago
13

Suppose ruth ann has 3 routes she can travel between the school to the library and 5 routes from the library to her home. how ma

ny routes are there from ruth anns school to her home with a stop at the library.
a. 9
b. 60
c. 15
d. 25
Mathematics
2 answers:
Dmitrij [34]3 years ago
8 0

Answer: Hello there!

There are 3 ways Ruth can go from high school to the library, and 5 ways she can go from the library to her home.

The number of possible combinations is equal to the product between the options of each event (where the events are going from high school to the library and going from library to her house):

3*5 = 15

Then there are 15 different routes that Ruth can take from high school to her home, where she makes a stop at the library.

Andreas93 [3]3 years ago
6 0
The answer is C. 15

<span>3C1∗5C1=3∗5=15</span>
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The lateral surface area of a cylinder in terms of its radious
ankoles [38]
Not sure if that’s right but I hope that helps

5 0
2 years ago
The speed of the current is 7 mph. The boat travels three times slower against the current than with the current. What is the sp
kotykmax [81]
Let the speed of the boat be x
so going against the current the speed is x-7
going with the current the speed is x+7

let the distance be d
time = distance / speed
time to go against the current = d/(x-7)
time to go with the current = d/(x+7)

time going against the current is 3 times going <span>with the current
</span>
d/(x-7) = 3d/(x+7)     ⇒⇒⇒ divide by d 
1/(x-7) = 3/(x+7) 
x+7 = 3(x-7) 
x+7 = 3x - 21
2x = 28
x = 14

So, the speed of the boat in still water is = 14 mph
3 0
3 years ago
Pls answer! i will mark brainliest!
Volgvan

Answer:

3 inches

Step-by-step explanation:

(14+2x) × (15+2x) = 2(14×15)

210 +30x +28x + 4x² = 420

4x² + 58x - 210 = 0

2x² + 29x - 105 = 0

2x² + 35x - 6x - 105 = 0

x(2x + 35) - 3(2x + 35) = 0

(x - 3)(2x + 35) = 0

x = 3, -35/2(not possible)

3 0
3 years ago
What shape is the base? What is the area of the<br> base (B)?
VladimirAG [237]

Answer:

rectangular; 32 in²

Step-by-step explanation:

The base is rectangular, because 1 set of sides is longer than the other.

To find the area of the base, multiply 4 by 8 to get 32 in².

6 0
3 years ago
Suppose that c varies jointly with d and the square of g, and c = 30 when d = 15 and g = 2.
maksim [4K]

Answer:

d = \dfrac{3}{16}

Step-by-step explanation:

c varies jointly with d and the square of g

c\propto dg^2

c=kdg^2

where, k is constant of proportionality.

Put the given value c = 30 when d = 15 and g = 2 and find out k

30=k\cdot 15\cdot 2^2

k=\dfrac{1}{2}

c=\dfrac{1}{2}kg^2

If c = 6 and g = 8 then d = ?

6=\dfrac{1}{2}\cdot d\cdot 8^2

d=\dfrac{6\cdot 2}{8^2}

d=\dfrac{3}{16}

Hence, The value of d is \dfrac{3}{16}

5 0
3 years ago
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