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11Alexandr11
2 months ago
7

Casey bought sandwiches and bags of chips. Each sandwich cost three times asmuch as a bag of chips. She bought 5 sandwiches for

$6 each and spent $42.How many bags of chips b did she buy?
Mathematics
1 answer:
Zina [12.3K]2 months ago
5 0

Conclusion:

Casey acquired 6 bags of chips.

Detailed explanation:

The cost of a sandwich is three times that of a bag of chips, with sandwiches priced at $6, making chips $2 each. Casey purchased 5 sandwiches, leading to a $30 expenditure on them. Given a total of $42 spent, this leaves $12 available for chips. Hence, calculating gives 2x6 = 12, confirming that Casey got 6 bags of chips.

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Use this information to find the value of b.<br><br><br>c = 25<br><br>s = 9<br><br><br>b = 4c - s2
PIT_PIT [12445]
Greetings!

Let's rewrite the equation:
b = 4c - s².
Plug in your values:
b = 4(25) - (9)²
Now simplify:
4 times 25 equals 100
9 squared equals 81
So, b = 100 - 81
Calculate:
100 minus 81 equals 19
b is 19.

I hope this helps!
<span>Best of luck:) </span>

<span>- Hannah ❤</span>
3 0
1 month ago
An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a r
zzz [12365]

The triangle is positioned within the circle, with its vertices lying on the circle's edge - since the center of the circle is located on the hypotenuse, that hypotenuse serves as the diameter (D) of the circle.

:

D = 120 feet

:

Calculating the circumference of the circle gives: 22/7 * 120 = 377.14 feet.

The perimeter of the triangle is calculated as 120 + 60 + 103.92 = 283.92

:

********************************************************

1) The combined distance around both circle and triangle totals 661.06 feet.

********************************************************

:

**************************************************************

2) The vertices for the triangle's central area must touch the circular pool - to find the center of the pool, draw perpendicular bisectors from two of the triangle's sides; where they meet is the center.

The distance from the center to any vertex of the triangular area represents the radius of the


circular pool.

**************************************************************

:

*****************************************************************

3) The intersection of the triangle's angle bisectors indicates the center of the shark tank.

*****************************************************************

:

***********************************************************

4) The pool's volume is calculated as ((π * 60^2) - area of triangle) * 4 =

(11314.285) - (1/2 * 103.92 * 60) * 4 = 32786.74 cubic feet.

***********************************************************

:

*****************************************

5) 8196.685 * x < 30000

x < 3.66 feet

The average depth needs to be below 3.66 feet

*****************************************



5 0
1 month ago
A 95% confidence interval for the population proportion of professional tennis players who earn more than 2 million dollars a ye
Svet_ta [12734]

Response:

e. 545

Detailed explanation:

In a survey sample containing n individuals, with a success probability of \pi, and a confidence level of 1-\alpha, the ensuing confidence interval for proportions is established.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

Wherein

z denotes the z-score corresponding to a probability value of 1 - \frac{\alpha}{2}.

For this scenario, we find:

The estimate averages the two bounds. Thus \pi = \frac{0.82+0.88}{2} = 0.85

95% confidence level

Consequently, z represents the z value corresponding to the p-value of 1 - \frac{0.05}{2} = 0.975, hence Z = 1.96.

The lower boundary of this interval is:

L = \pi - z\sqrt{\frac{\pi(1-\pi)}{n}}

In this query, L = 0.82. Therefore

0.82 = 0.85 - 1.96\sqrt{\frac{0.85*0.15}{n}}

1.96\sqrt{\frac{0.85*0.15}{n}} = 0.03

0.03\sqrt{n} = 1.96\sqrt{0.85*0.15}

\sqrt{n} = \frac{1.96\sqrt{0.85*0.15}}{0.03}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.85*0.15}}{0.03})^{2}

n = 544.23

Thus, the accurate response is:

e. 545

4 0
10 days ago
Explain why the decimal moving strategy can be used with SI units but not with imperial units
Leona [12618]
Because SI units are structured around powers of 10, you can shift the decimal point to convert; imperial units lack that base-10 organization, so the decimal-shifting method doesn't apply.
6 0
29 days ago
Josh needs to cover a rectangular opening of 12 inches × 18 inches with plywood. how much will he need, in square feet, if he wa
tester [12383]

We understand that

1 foot corresponds to 12 inches.


Step 1

Dimensions of the plywood needed are

(12+3+3) x (18+3+3)------> 18 inches x 24 inches.


Step 2

Convert inches into feet:

18 in-------> 18/12=1.5 ft.

24 in------> 24/12=2 ft.


Step 3

To calculate the area of plywood needed:

A=b*h------> 1.5*2------> A=3 ft².


The final result is

3 ft²

5 0
1 month ago
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