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Y_Kistochka [10]
2 years ago
15

A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees

x and the cost y.
Write your answer as an equation with y first, followed by an equals sign.
Mathematics
1 answer:
nasty-shy [4]2 years ago
6 0

Answer:

y = 2x

Step-by-step explanation:

1. attendee = x

2. cost = y

3. for each attendee [x], you have $2 of cost, so for each 1 x, you have 2 as result

4. Thus, y = 2x

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One positive number is 14 less than another positive number. If the reciprocal of the smaller number is added to five times the
Kipish [7]

Let's call the two numbers s and l.


Given these variables, we can say: s = l - 14, based on the first sentence in the problem.


Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:

\dfrac{1}{s} + 5\Big( \dfrac{1}{l} \Big) = \dfrac{1}{4}


To solve, we can simply substitute l -14 in for s in the second equation and solve.

\dfrac{1}{l - 14} + \dfrac{5}{l} = \dfrac{1}{4}

  • Set up

\dfrac{l}{l(l - 14)} + \dfrac{5(l - 14)}{l(l - 14)} = \dfrac{1}{4}

  • Get terms on the left side to a common denominator for easier addition

\dfrac{l + 5l - 70}{l(l - 14)} = \dfrac{1}{4}

  • Simplify

4(6l - 70) = l(l - 14)

  • Cross multiplication (\frac{a}{b} = \frac{c}{d} \Rightarrow ad = bc)

24l - 280 = l^2 - 14l

  • Simplify

l^2 - 38l + 280 = 0

  • Subtract 24l - 280 from both sides of the equation

(l - 10)(l - 28) = 0

  • Factor left side of the equation

l = 10, 28

  • Zero Product Property

Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,

s = 10 - 14 = -4,

Since s is not positive in this case, l = 10 is not a solution.


Thus, l = 28 is our only solution. In this case,

s = 28 - 14 = 14,

which means that the smaller number is 14 and the larger number is 28.

5 0
3 years ago
Which is a graph of x^2/25 + y^2/4= 1
AVprozaik [17]

Answer:

If your answer is multiple choice, try to look for a graph that matches these intercepts. I hope this helped you. Have a great rest of your day!

7 0
3 years ago
Minni is arranging 3 different music CDs in a row on a shelf. Create a sample space for the arrangement of a jazz CD (J), a pop
weeeeeb [17]
The sample space for the 3 different music CDs is as follows:
{JPR, JRP, PJR, PRJ, RJP, RPJ}
8 0
3 years ago
Read 2 more answers
What is the sum of 36oz and 4 pounds
Mice21 [21]
Answer B
There are 16 oz in a pound. 16(2)=32 and there are 4 oz leftover.
6 0
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82. A company spends x hundred dollars on an advertising
crimeas [40]

The company spends $649 on advertising

The sales function after advertising is given as:

S(x) = 5 + 7\ln(x + 1)

When the total sales is $19,100, we have S(x) = 19100

So, the sales function becomes

5 + 7\ln(x + 1) = 19.1

Subtract 5 from both sides

7\ln(x + 1) = 14.1

Divide both sides by 7

\ln(x + 1) = 2.014

Take exponents of both sides

x + 1 = e^{2.014

x + 1 = 7.49

Subtract 1 from both sides

x= 6.49

Hence, the company spends $649 on advertising

Read more about functions at:

brainly.com/question/12940982

5 0
2 years ago
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