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enyata [817]
3 years ago
14

Solve & Discuss It!

Mathematics
1 answer:
ivolga24 [154]3 years ago
5 0

Answer:

<u>There were 6, 9, 12 and 15 children if the number of adults at the beach were 8, 12, 16 and 20.</u>

Step-by-step explanation:

After reviewing the information given for solving the question, we notice that the number of adults and the number of children are two constants, where the number of children is the 75% of the number of adults (3/4 = 75%). In that case, for finding the number of children for every specific number of adults, we do the following calculations:

1. For 8 adults: Using the 75%, we multiply by it (8 * 75%) and we get that the number of children is 6.

2.  For 12 adults: Using the 75%, we multiply by it (12 * 75%) and we get that the number of children is 9.

3.  For 16 adults: Using the 75%, we multiply by it (16 * 75%) and we get that the number of children is 12.

4.  For 20 adults: Using the 75%, we multiply by it (20 * 75%) and we get that the number of children is 15.

<u>There were 6, 9, 12 and 15 children if the number of adults at the beach were 8, 12, 16 and 20.</u>

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69 points!!!
Amiraneli [1.4K]

Answer:

C)  The solution for the given system of equations are A(0,-5) and B(-4,3)

Step-by-step explanation:

The given system of equation are : x^{2}  + y^{2}  = 25\\2x  + y  = -5

from equation 2, we get   y = -5 - 2x .

Put the above value of y in the equation (1).

We get: x^{2}  + y^{2}  = 25  \implies x^{2}  + (-5-2x)^{2}  = 25

By ALGEBRAIC IDENTITY:

(a+b)^{2}   = a^{2}  +  b^{2}  + 2ab\\ (-5-2x)^{2} = (-5)^{2}  +  (-2x)^{2}  + 2(-5)(-2x)

or, x^{2}  + (-5-2x)^{2}  = 25  \implies x^{2} + (25  +  4x^{2}  + 20x)  = 25

or, 5x^{2}  + 20x = 0  \implies x(5x + 20) = 0

⇒ x = 0 or,   x  = -20/5 = -4

So, the possible values for x are: x  = 0 or  x  = -4

If x  = 0, y = -5-2x = -5-2(0) = -5

and if x = -4, y = -5 -2(-4)   = -5 + 8  = 3

Hence, the solution for the given system of equations are A(0,-5) and B(-4,3)

8 0
3 years ago
find the larger of two consecutive integers,x, if the sum of the smaller and larger is -9. write an equation and solve
Georgia [21]

Answer:

-4

Step-by-step explanation:

7 0
3 years ago
What is the measurement of arc BE?
aniked [119]
The answer is 134 degrees
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3 years ago
Somebody can help me plz? It seems easy for y’all but not for me haha
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Answer:

I'll say 25 but not too sure!

3 0
3 years ago
Which function is the inverse of f(x) equals negative 5X -4
nikitadnepr [17]

Answer:

f inverse x = -x+4/5

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
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