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irakobra [83]
2 years ago
13

While you're in the parking lot, you realize that both the lightbulbs and the light switches

Mathematics
1 answer:
Romashka [77]2 years ago
4 0

Cost of Lightbulb = x

cost of switch is x-8


9x + 4(x-8) = 520.50

Use distributive property:

9x + 4x -32 = 520.50

Simplify:

13x -32 = 520.50

Add 32 to both sides:

13x = 552.50

Divide both sides by 13

X = 42.50


A lightbulb costs $42.50

A switch costs 42.50-8 = $34.50

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PLEASE HELP ASAP I’ll mark brainliest!!!
Andrej [43]

Answer:

yes it is a change of state since both hydrogen and oxygen are gas.

7 0
2 years ago
Mr. Wayne sells calculators. He marks up every item with a profit of 25%. Let x be his cost for a calculator. A. Write an expres
Leona [35]

Answer:

Step-by-step explanation:

%profit = selling price - cost price/cost price * 100

If Mr. Wayne marks up every item with a profit of 25% and x be his cost for a calculator, the expression for the selling price can be gotten by substituting the parameters into the formula;

25 = sp-cp/cp * 100

25/100 =  sp-x/x

0.25 = sp-x/x

cross multiply

0.25x = sp-x

add x to both sides

0.25x+x = sp-x+x

1.25x = sp

selling price = 1.25x

<em>Hence an expression for the selling price of the calculator is 1.25x</em>

<em></em>

b) If Mr wayne paid $25, the selling price is derived by substituing x = $25 into the expression in (a)

selling price = 1.25x

selling price = 1.25($25)

selling price = $31.25

c) If the selling price is $86, to get the cost of the calculator, substitute the selling price into the expression in (a)

selling price = 1.25x

$86= 1.25x

x is the cost price of the calculator

divide both sides by 1.25

$86/1.25= 1.25x/1.25

x = $68.8

<em>Hence Wayne paid $68.8 for a calculator that he sells for $86.</em>

8 0
2 years ago
Suppose you are representing the employees at a large corporation during contract negotiations. You have a list of the salaries
evablogger [386]

Answer:

Median

Step-by-step explanation:

Median is ascertained by arranging a set of data in either ascending or descending order and picking the number that appears In the middle. The measure of center to use for this test is the median because it will represent the employees, it helps to arrange their income accordingly and the central item is determined.

7 0
3 years ago
Jana opened a savings account with
taurus [48]

Answer:

f(w) = $100 + $15*w

Step-by-step explanation:

The first $100 she deposited remain always the same, they don't change depending on the weeks. What increases along the weeks are the $15.

In the first week she will deposit $15, so she will have $100 + $15 = $115.

On the second week she will deposit $15 more, so she will have $115 + $15 = $130. Another way of writing this is $100 + $15 + $15 = $100 + $15*2.

On the third week she will have $100 + $15 + $15 + $15 = $100 + $15*3.

Therefore, after w weeks, she will have $100 + $15*w.

The function we are looking for is f(w) = $100 + $15*w

6 0
3 years ago
(2 points) An article in the Washington Post on March 16, 1993 stated that nearly 45 percent of all Americans have brown eyes. A
lara31 [8.8K]

Answer: a) z=1.43

b) 0.1528

Step-by-step explanation:

The given set of hypothesis :

H_0:p=0.45

H_a:p\neq0.45

Since the alternative hypothesis H_a is two-tailed , so we perform two-tailed test.

Also, it is given that : A random sample of n=76 Americans found 28 with brown eyes.

Sample proportion: \hat{p}=\dfrac{28}{76}=0.3684

a) The z-statistic would be :-

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

\Rightarrow\ z=\dfrac{0.3684-0.45}{\sqrt{\dfrac{0.45(1-0.45)}{76}}}=-1.4299121397\approx-1.43

b) P-value for two-tailed test = 2P(Z>|z|)= 2P(z>|-1.43|)

=2P(z>1.43)

=2(1-P(z≤1.43)

=2-2P(z≤1.43)

= 2-2(0.9236)[Using standard z-table]

= 2-1.8472=0.1528

Hence,  the P-value of the test= 0.1528

6 0
3 years ago
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