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vladimir2022 [97]
3 years ago
5

The sum of a number and 3 times a second number is represented by a+3b= 39. The sum of half the of the first number and 1/3 of t

he second number is represented by 1/2a+1/3b=9. What is the first number a? What is the second number b?
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
5 0
If we multiply the second equation by 2 we get

a + 2/3b = 18 ............(3)
a + 3b = 39................(1) 
(1) - (3) gives:-
7/3 b = 21
b =  21 * 3/7 = 9 

plug b = 9 in equation (1):-

a + 3(9) = 39 

a = 39-27 = 12 

Answer:- a = 12 and b = 9.
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MatroZZZ [7]
24 + 100 is 124, and 124 x 2 = 248. So yes it is more than 120
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jill traveled to the ferry office and back. the trip there took 5 hours and the trip back took 4 hours. she averaged 65 mph on t
antoniya [11.8K]

We know from physics class that the formula for distance of a linear motion is given as:

d = v t

Where,

d = distance travelled

v = average velocity

t = time it took to reach the destination

Since the distance going to the office and back is just similar, therefore we can simply equate the two:

v1 t1 = v2 t2

Where 1 signifies going to the office and 2 signifies going back from the office. Therefore this yields to:

v1 * 5 hours = 65 mph * 4 hours

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<span>Answer: The average speed going to the office is 52 mph.</span>

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Stephanie is a very good soccer player. She can kick a soccer ball with an initial velocity of 21.3 m/sec. The function that rep
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3 years ago
the ratio of pine trees to elm trees in a park is 7:11. How many pine trees are there in the park if there are 68 more elm trees
Hitman42 [59]

Answer:

<em>The number of </em><em>pine tree is 119</em><em> and the number of </em><em>elm tree is 187.</em>

Step-by-step explanation:

The ratio of pine trees to elm trees in a park is 7:11

Let us assume that the number of pine tree is 7x and the number of elm tree is 11x.

It is also given that, there are 68 more elm trees as compared to the pine trees.

i.e 11x=7x+68

\Rightarrow 11x-7x=68

\Rightarrow 4x=68

\Rightarrow x=17

Hence, the number of pine tree = 7x=7\times 17=119 and the number of elm tree = 11x=11\times 17=187

8 0
3 years ago
-10 + square root of 2x+1 = -5
Citrus2011 [14]

Answer:

Step-by-step explanation:

-10+sqrt2x+1 = -5

sqrt2x+1 = -5+10

sqrt2x+1 = 5

2x+1 = sqrt5

2x = sqrt5-1

x = (sqrt5-1)/2

5 0
3 years ago
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