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denis-greek [22]
2 years ago
5

The governor of state A earns ​$48,980 more than the governor of state B. If the total of their salaries is ​$289,660​, find the

salaries of each
Mathematics
2 answers:
OLga [1]2 years ago
8 0

Answer:

Governor of State B: $120,340; Governor of State A: $169,320

Step-by-step explanation:

For the sake of this problem, let's set the salary of State B's governor as x. That would make the salary of State A's governor equal to x+48980. The following lists out how to solve this problem.

Governor B salary + Governor A salary = $48980

x+x+48980=289660

2x+48980=289660

2x=240680

x=120340

120340+48980=169320

Fed [463]2 years ago
8 0
Let x = salary for governor of state A
Let y = salary for governor of state B

Then x = y + 48980, since gov. of state A earns this much more than governor of state B.

Therefore we have x + y = 289660. Substitute for x.

(y + 48980) + y = 289660
2y + 48980 = 289660
2y = 240680
y = $120340, which is salary for governor B.

Now we substitute y into x = y + 48980
x = 120340 + 48980
x = $169320, which is salary for governor A.

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1. Vanessa and Renita are having a friendly competition at work. Their job is to unpack boxes. Vanessa has unpacked 3 fewer than
Nadya [2.5K]

The number of boxes renita and Vanessa has unpacked each is 6 and 9 boxes respectively.

<h3>Equation</h3>

  • Number of boxes renita has unpacked = x
  • Number of boxes Vanessa has unpacked = 2x - 3
  • Total boxes both unpacked = 15

x + (2x - 3) = 15

x + 2x - 3 = 15

3x = 15 + 3

3x = 18

x = 18/3

x = 6

Therefore,

Number of boxes renita has unpacked = x

= 6 boxes

Number of boxes Vanessa has unpacked = 2x - 3

= 2(6) - 3

= 12 - 3

= 9 boxes

Learn more about equation:

brainly.com/question/2972832

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7 0
1 year ago
It takes 2 bags of feed for each turkey every week.How many bags of feed do i need to fees 2 turkeys for a month?
Morgarella [4.7K]

it takes 2 bags for each turkey for a week

4 weak are there in a month

so for one turkey=4*2

                            =8

so for one turkey its 8 means

2 turkey=8+8

             =16

therefore it takes 16 bags for two turkey in a month

7 0
2 years ago
A car's speed is 80 2/3 miles in one hour. Going at the same speed, how far (in miles) will it travel in 2 1/4 hours?
hichkok12 [17]

Answer:

181.5 miles

Step-by-step explanation:

  80 2/3   m/hr  *   2  1/4 hr = 181. 5 miles

8 0
1 year ago
The length of human pregnancies from conception to birth follows a distribution with mean 266 days and standard deviation 15 day
Katena32 [7]

Answer:

a) 81.5%

b) 95%

c) 75%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 266 days

Standard Deviation, σ = 15 days

We are given that the distribution of  length of human pregnancies is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(between 236 and 281 days)

P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{281-266}{15})\\\\= P(-2 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -2)\\= 0.838 - 0.023 = 0.815 = 81.5\%

b) a) P(last between 236 and 296)

P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{296-266}{15})\\\\= P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.973 - 0.023 = 0.95 = 95\%

c) If the data is not normally distributed.

Then, according to Chebyshev's theorem, at least 1-\dfrac{1}{k^2}  data lies within k standard deviation of mean.

For k = 2

1-\dfrac{1}{(2)^2} = 75\%

Atleast 75% of data lies within two standard deviation for a non normal data.

Thus, atleast 75% of pregnancies last between 236 and 296 days approximately.

7 0
3 years ago
Find the length of side a.<br> please help?
GaryK [48]

Answer:

Hello! I believe your answer is a = 3

Step-by-step explanation:

a= \sqrt{5^{2}-4^{2} } = 3

Have a good day! - Zac

8 0
2 years ago
Read 2 more answers
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