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mel-nik [20]
3 years ago
13

Navel Laser and Midoriya are doing target practice. In the first round Navel laser scored no points, but in the second round he

scored “x” amount of points. In their third round, he scored 8 more points than the second. Now in the last round, he scored three times as many points as the third. Altogether Navel Laser scored 117 points!!! How many points did the Navel Laser score in each round?
Mathematics
1 answer:
hammer [34]3 years ago
8 0

Answer:

Round 1 = 0 points

Round 2 = 17 points

Round 3 = 25 points

Round 4 = 75 points

Step-by-step explanation:

Determine how many points will be scored in each round in correspondence to the variable 'x':

Round 1:

0(x)

Round 2:

x

Round 3:

x+8

Round 4:

3(x+8)

We know that the sum of all points made in all rounds is 117. Using this information, we can make an equation:

0(x)+x+(x+8)+[3(x+8)]=117

Now, we solve for x:

x+x+8+3x+24=117

5x+32=117

5x=117-32

5x=85

\frac{5x}{5} =\frac{85}{5}

x=17

Now we substitute the calculated value for x in each round:

Round 1:

0(17)=0

Round 2:

(17)=17

Round 3:

(17)+8= 25

Round 4:

(25)*3=  75

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inn [45]

Answer: neither direct variation nor inverse variation.


Explanation:


1) The relation between two variables, y and x, is a direct variation if and only if the quotient between them, y/x, is constant. This is: y / x = k or, equivalently, y = kx.


Note that if y / x is constant, x / y is also constant.


In a direct variation, when x increases, y increases, and when x decreases, y decreases.


2) The relation between two variables, y and x, is an inverse variation if and only if their product, y×x is constant. This is: y × x = k or, equivalently y = k /x or x = k / y.


In an inverse variation when one of the variables increases the other decreases.


3) Writhe the given table and study whether the conditions for direct or inverse variation are met:

x      y              y/x                             y×x

-6    -72           -72/(-6) = 12             (-6)(-72) = 432

-4    -47           -47 / (-4) = 11.75       (-4)(-47) = 188

-3    -36           -36 / (-3) = 12           (-3)(-36) = 108

1       12             12 / 1 = 12                (1)(12) = 12


Conclusions;


a) Since neither y / x nor y×x have the same result for every pair, the relation is neither direct nor inverse.


b) Note that if the third pair were (-4, -48) instead of (-4, -47), y / x would be 12, which make a direct variation. In this case the function that modeled it would be:

         y = 12x.

8 0
4 years ago
PLEASE HELP ITS DUE TODAY!!
Aleks04 [339]

3. =1260

Step-by-step explanation:

3.= 9×(32+108)

= 9×140

= 1260 .

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