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Nata [24]
2 years ago
4

There are 126 seats in a meeting room. There 9 seats in each row. There are 90 people seated, filling up full rows of seats. How

many rows are empty?
Mathematics
1 answer:
devlian [24]2 years ago
8 0
126-90=36
36 seats are empty
So that means:
36/9=4
Therefore 4 rows are empty
Hope this helps
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Kayleigh babysat for 11 hours this week. That was 5 fewer than 2/3 as many hours as she babysat last week, h. Write an equation
lukranit [14]

Answer: The answer is \textup{x}=\dfrac{2}{3}\textup{h}-5.


Step-by-step explanation: Given that Kayleigh babysat for 11 hours the present week. Also, this was 5 less than two-third of the number of hours she babysat last week, which is represented by 'h'.

We are to write an equation to represent the number of hours she babysat each week.

So, for that, let 'x' be the number of hours she babysat this week. Then, according to the question, we can write

\textup{x}=\dfrac{2}{3}\textup{h}-5.

Also, it is given that

\textup{x}=11.

Therefore,

11=\dfrac{2}{3}\textup{h}-5\\\\\Rightarrow \dfrac{2}{3}\textup{h}=16\\\\\Rightarrow \textup{h}=24.

Hence, using the above relation, we can find the number oh hours Keyleigh babysat each week.

Thus, the required equation is

\textup{x}=\dfrac{2}{3}\textup{h}-5,

where, 'x' and 'h' are the number of hours she sat this week and last week respectively.

 


4 0
2 years ago
The porter family is moving from Baltimore, Maryland, to San Francisco, California. They would like to know what the difference
WARRIOR [948]

Answer:

78

Step-by-step explanation:

Wrong theories the passageway

7 0
2 years ago
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A researcher wants to estimate the mean weekly family expenditure on clothing purchases and maintenance. First, she needs to det
Blizzard [7]

Answer: C. 461

Step-by-step explanation:

We know that the formula to find the sample size is given by :-

n=(\dfrac{z^*\cdot \sigma}{E})^2

, where \sigma = Population standard deviation from prior study.

E = margin of error.

z* = Critical value.

As per given , we have

\sigma=125

E= 15

Significance level : \alpha=0.01

Critical value (Two tailed)=z^*=z_{\alpha/2}=z_{0.005}=2.576

Now , Required sample size = n=(\dfrac{(2.576)\cdot 125}{15})^2

n=(21.4666666667)^2\\\\ n=460.817777779\approx461 [Round to next integer]

Hence, the required sample size to be taken is 461.

Correct answer = C. 461

3 0
2 years ago
A car travels 15 kilometers west in 10 minutes. After reaching the destination, the car travels back to the starting point, agai
Ugo [173]
Your answer to your question is C
4 0
2 years ago
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The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?
Alenkinab [10]

For this case, the parent function is given by:

f (x) = x ^ 2

We apply the following transformations:


Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units upwards:

For k = 9 we have:

h (x) = x ^ 2 + 9


Horizontal translations:

Suppose that h> 0

To graph y = f (x-h), move the graph of h units to the right

For h = 4 we have:

g (x) = (x-4) ^ 2 + 9

Answer:

The function g (x) is given by:

g (x) = (x-4) ^ 2 + 9

7 0
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