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statuscvo [17]
3 years ago
13

Bruce's graduation picnic will cost $12 if it has 4 attendees. At most how many attendees can there be if Bruce budgets a total

of $18 for his graduation picnic? Assume the relationship is directly proportional.
Mathematics
2 answers:
ASHA 777 [7]3 years ago
5 0

Answer:

6 peaple

Step-by-step explanation:

Yakvenalex [24]3 years ago
4 0

Answer:

6 people

Step-by-step explanation:

1. Divide 12 by 4 to get the cost for 1 person, equals 3.

2. Then divide 18 by 3, equals 6

3. 6 people

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Evaluate the following integral in cylindrical coordinates triple integral 1/(1+x^2+y^2) dzdxdy z=0..2 y=0..square root(1-x^2) x
sertanlavr [38]

In cylindrical coordinates, we take

x=r\cos\theta

y=r\sin\theta

z=z

so that \mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz.

We have

1+x^2+y^2=1+r^2

and the integral is

\displaystyle\int_0^2\int_0^\pi\int_0^1\frac r{1+r^2}\,\mathrm dr\,\mathrm d\theta\,\mathrm dz=\frac{\ln2}2\int_0^2\int_0^\pi\mathrm d\theta\,\mathrm dz=\boxed{\pi\ln2}

8 0
3 years ago
A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second. The h
scoray [572]

Answer:

Option B. 1.8 seconds

Step-by-step explanation:

h=-16t^2+56t+1

This is a quadratic equation, and its graph is a parabola

h=at^2+bt+c; a=-16, b=56, c=1

Like a=-16<0 the parabola opens downward, and it has a maximum value (height) at the vertex, at the abscissa:

t=-\frac{b}{2a}

Replacing the known values:

t=-\frac{56}{2(-16)}\\ t=-\frac{56}{(-32)}\\ t= 1.75

Approximately 1.8 seconds.

Answer: It takes approximately 1.8 seconds the airplane to reach its maximum height.


5 0
3 years ago
Read 2 more answers
Which value of y makes the equation 13 – y = 17 true?
Volgvan
Answer = B
Working = 13-(-4) = 17
3 0
3 years ago
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The angle measures 30°, 60°, 120°, and 150° are written on
GREYUIT [131]
Therefore the probability that the angle measure are supplementary are:120,60
8 0
3 years ago
A high school has 40 players on the football team. The summary of the players' weights is given in the box plot. Approximately,
yulyashka [42]

Answer:

About 91%

Step-by-step explanation:

According to the box plot provided :

Total number of students = 40

Minimum weight = 152 pounds

Third quartile (Q3) = 245

The approximate percentage of students that weigh 245 kg or less

About 10 of the intervals out of the 11 coverage interval of the box plot fall between 152 and 254 ; Hence,

(10 / 11) * 100

90.90

= about 91 % of the total students weigh 245 kg or less

4 0
2 years ago
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