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Nitella [24]
3 years ago
9

Evan's science class placed some metal balls on a scale. They used a red ball that weighed 5/13 of a pound, a yellow ball that w

eighed 10/17 of a pound, a green ball that weighed 5/13 of a pound, a blue ball that weighed 4/13 of a pound, and a gray ball that weighed 6/17 of a pound. What was the total weight of the metal balls?
Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Answer:

2 4/221 = 2.018

Step-by-step explanation:

5/13+10/17+5/13+4/13+6/17 = 2 4/221 = 2.018

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The function f(x) varies directly with x, and f(x) = 45 when x = 9.
Paladinen [302]

Answer:

Option C = 15

Step-by-step explanation:

In principle when a function <em>f(x) </em>varies directly with <em>x</em> it suggests that any changes in x results in the equivalent changes in<em> f(x)</em>. If we have two variables, i.e. <em>y</em> representing<em> f(x)</em> and <em>x</em> representing itself, any increment/decrement in <em>x</em> will result to the same increment/decrement in <em>y</em> by a factor <em>a, thus we can say that y = ax, implying y and x have the same ratio. </em>

In the given question we know that <em>f(x) = 45</em> when x=9<em>, </em>which translates as

f(x=9) = 45

This tells us that f(x) varies by a factor (lets call it) a for a given value of x.

To find this factor we can just divide 45 with 9 which gives: \frac{45}{9} = 5

Thus the factor a here is a=5 which finally tells us that

f(x) = 5x    Eqn (1) our original function.

Since we now know our function we can plug in the value for x=3 and solve for f(x=3) as follow:

f(x=3)= 5*3

f(x=3) = 15

f(3) = 15

Looking at the given options in the question we can conclude that the correct answer is Option C = 15

3 0
3 years ago
Mrs. Saddler and her family go out for dinner. Their bill was $55.25. Mrs. Saddler leaves a 18% tip. What is Mrs. Saddler’s tota
olchik [2.2K]
You multiply 55.25 by 0.18. You get 9.945 and then you add it to 55.25. You should get 65.195. Round it to $65.20. That's your answer.
5 0
3 years ago
4 pounds of grapes cost $11.52. what is the unit rate?
Zepler [3.9K]

Answer: 2.88/1

Step-by-step explanation:

3 0
3 years ago
3.1. Without counting. determine the number of seats in the theatre. Show your working out. on the balcony​
Zinaida [17]

Based on the number of seats on the balcony, the number of seats in the theatre are 600 seats.

<h3>What number of seats does the theatre have?</h3>

The balcony is said to have 120 seats and these are 1/5 of the total seats in the theatre.

The total number of seats in the theatre are:

= Number of seats on balcony / Proportion of seats this represents

Solving gives:

= 120 ÷ 1/5

= 120 ÷ 0.2

= 600 seats

Find out more on ratios and proportions at brainly.com/question/11041750.

#SPJ1

8 0
2 years ago
Anyone know this? Please help thanks
bonufazy [111]
The answer should be 4. When you add 4 to the y-intercept of f(x), you get y=2. I hope this helps!
7 0
3 years ago
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