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nikklg [1K]
3 years ago
9

A summer camp cookout is planned for the campers and their families. There is room for 450 people. Each adult costs $7, and each

camper costs $4. There is a maximum budget of $1,150. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers. x + y ≤ 1,150 7x + 4y ≤ 450 x + y ≤ 450 7x + 4y ≤ 1,150 x + y ≤ 1,150 4x + 7y ≤ 450 x + y ≤ 450 4x + 7y ≤ 1,150
Mathematics
1 answer:
Tanya [424]3 years ago
3 0

Answer:

\left\{\begin{array}{l}x+y\le 450\\7x+4y\le 1,150\end{array}\right.

Step-by-step explanation:

Let  x be the number of adults and y be the number of campers.

There are rooms for 450 people, so

x+y≤450.

Each adult costs $7, then x adults cost $7x.

Each camper costs $4, then y campers cost $4y.

There is a maximum budget of $1,150, so

7x+4y≤1,150

Hence, you get the system of two inequalities:

\left\{\begin{array}{l}x+y\le 450\\7x+4y\le 1,150\end{array}\right.

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Maria walked 3 km west and 4 km south calculate how far she is from her starting point.
Rufina [12.5K]

Answer:

5 km

Step-by-step explanation:

We are given the distances walked by Maria;

  • 3 km west and 4 km south

We are required to determine the displacement from her starting point;

  • We are going to use Pythagoras's theorem;

a² + b² = c²

Taking, the distances towards south and towards west as the legs of the triangle;

Then, c² = 3² + 4²

               = 25

         c  = √25

            = 5 km

Therefore, the displacement from the starting point is 5 km

8 0
3 years ago
HELP BEFO 7 PLEASE...
Kay [80]
160ft3

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6 0
2 years ago
Ricardo Gutierrez has a box of coins that he uses when playing poker with friends. The box currently contains 46 coins, consisit
Nonamiya [84]
Let x be the number of pennies which is also equal to the number of dimes. By this representation, the number of quarters is equal 46 - 2x. The total amount is $4.87 or 487 cents. The equation that best represent the given is,
                                  x + 10x + 25(46 - 2x) = 487
The value of x from the equation is 17. Therefore, there are 17 of both pennies and dimes and 12 quarters. 
8 0
3 years ago
8. Do the following tables represent a linear or non-linear relationship?
Dennis_Churaev [7]

Answer:

the first table is a non-linear relationship and the second table is a linear relation ship because the first table as a curve in its line and it is not straight making it non-linear the second table is linear because it forms a straight line making it linear

Step-by-step explanation:

to find a linear relationship place the points on the graph. then if the they form a straight line then your table is linear

Also to find a nonlinear relation ship place the points that are given to you on a graph and if they are not a straight line then they are a nonlinear relationship

6 0
3 years ago
Read 2 more answers
A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop
Katyanochek1 [597]

Answer:   (0.367,\ 0.473)

Step-by-step explanation:

The confidence interval for population mean is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p} is the sample proportion, n is the sample size , z_{\alpha/2} is the critical z-value.

Given : Significance level : \alpha:1-0.99=0.01

Sample size : n= 85

Critical value : z_{\alpha/2}=2.576

Sample proportion: \hat{p}=\dfrac{36}{85}\approx0.42

Now, the  99% confidence level will be :

\hat{p}\pmz_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.42\pm(2.576)\sqrt{\dfrac{0.42(1-0.42)}{85}}\\\\\approx0.42\pm0.053\\\\=(0.42-0.053,\ 0.42+0.053)=(0.367,\ 0.473)

Hence, the  99% confidence interval estimate of the true proportion of families who own at least one DVD player is  (0.367,\ 0.473)

3 0
3 years ago
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