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Semenov [28]
3 years ago
11

Find y when x=77, if y varies inversly as x, and y = 23 when x = 115.

Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0

The required value of y is 2645 / 77 when x = 77.

Step-by-step explanation:

1. Let's check the information given to answer:

if y varies inversely as x, and y = 23 when x = 115. Find y when x=77

2. What is y when x = 77?

As the statement "y varies inversely as x" translates into y = k/x

If we let y = 23 and x = 115, the constant of variation becomes

        23 = k ÷ 115

        k = 23 × 115

        k = 2645

Thus the specification equation is y = 2645  ÷ x . Now, letting x = 77, we obtain

          y = 2645 ÷ x

          y = 2645 ÷ 77

<u>So, The required value of y = 2645 / 77 when x = 77</u>

<u></u>

<u>#learnwithBrainly</u>

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Lin and Han's families provide money for their school lunch
Julli [10]

Answer:

1) after 4 weeks, Lin has more with $65

2) after 3 weeks they both have same amount

Step-by-step explanation:

let 'w' = number of weeks

1) <u>equation for Han</u>:  y = 100 - 15w

y = 100 - 15(4)

y = 100 - 60

y = $40 after 4 weeks

<u>equation for Linn</u>:  y = 25 + 10w

y = 25 + 10(4)

y = 25 + 40

y = $65 after 4 weeks

2) 100 - 15w = 25 + 10w

    75 - 15w = 10w

    75 = 25w

     w = 3 weeks

8 0
3 years ago
Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an e
kenny6666 [7]

Answer:

Part A 70x+50=250

Part B(75x + 35) = 250 - 5x

Step-by-step explanation:

Here to form an equation you must add all the money that she earned and subtract the money that she had to spend We dont know how many car washes she did, so we must represent it with a variable, or x.

8 0
3 years ago
Read 2 more answers
If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0?
andre [41]

The value of the x will be 12. The value of the x is obtained from the condition,(f – g)(x) = 0

<h3>What exactly is a function?</h3>

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

Given function;

f(x) = 16x – 30

g(x) = 14x – 6

⇒(f – g)(x) = 0

⇒(16x – 30)-(14x – 6)=0

⇒16x-30-14x+6=0

⇒2x-24=0

⇒x=24/2

⇒x=12

Hence, the value of the x will be 12.

To learn more about the function, refer to:

brainly.com/question/5245372

#SPJ1

8 0
2 years ago
Roger works in a new motorcycle shop. He’s page set up new motorcycles when they arrive from the factory. He’s also responsible
lina2011 [118]

Answer:

Net money earned = $ 1537

Step-by-step explanation:

Wage for assembling motorcycle = $125

Number of motor cycles assembled last week = 11

Total money earned = $125 x 11 = $1375

Total payment for test ride $18

Number of motor cycles given for test ride last week = 9

Total money earned in test rides = $18 x 9 = $162

Hence, net money earned last week by Roger= $1375+$162 = $1537

3 0
3 years ago
The capacity of a small theater is 125 people. Tickets for a particular show cost $14.50. The revenue for that show is a functio
faltersainse [42]

Answer:

The domain of this function is first restricted to all non negative integers  because the theater can sell only a whole number of tickets.

The domain is restricted to numbers less than or equal to 125 because the theater cannot sell more tickets than capacity.

Step-by-step explanation:

3 0
3 years ago
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