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DedPeter [7]
3 years ago
5

12 students in drama club want to go on a field trip to watch a Broadway musical in NYC. The ticket price is $45 for each studen

t, and the transportation and meals for everyone would cost $100. To pay for the trip, the students wash cars for a profit of $15 per car. What is the minimum number of cars the students need to wash to pay for the entire cost of the trip
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
5 0

Answer:

43 cars

Step-by-step explanation:

You might be interested in
The radius of the base of a cylinder is increasing at a rate of 7 millimeters per hour. The height of the cylinder is fixed at 1
Ilya [14]

Answer:

The rate of change of the volume of the cylinder at that instant = 791.28\ mm^3/hr

Step-by-step explanation:

Given:

Rate of increase of base of radius of base of cylinder = 7 mm/hr

Height of cylinder = 1.5 mm

Radius at a certain instant = 12 mm

To find rate of change of volume of cylinder at that instant.

Solution:

Let r represent radius of base of cylinder at any instant.

Rate of increase of base of radius of base of cylinder can be given as:

\frac{dr}{dt}=7\ mm/hr

Volume of cylinder is given by:

V=\pi\ r^2h

Finding derivative of the Volume with respect to time.

\frac{dV}{dt}=\pi\ h\ 2r\frac{dr}{dt}

Plugging in the values given:

\frac{dV}{dt}=\pi\ (1.5)\ 2(12)(7)

\frac{dV}{dt}=252\pi

Using \pi=3.14

\frac{dV}{dt}=252(3.14)

\frac{dV}{dt}=791.28\ mm^3/hr (Answer)

Thus rate of change of the volume of the cylinder at that instant = 791.28\ mm^3/hr

6 0
3 years ago
Make 28 with 2, 3, 6, and 8
Artemon [7]
8*3+6-2

8*3=24

24+6=30

30-2=28



8*3+6-2=28
8 0
3 years ago
4:■ =8 :14 fhjyghjhgj
andreev551 [17]

Answer:

■ = 7

Explanation:

Because there two ratios are proportional as a result of being equal.

To find the missing part of the ratio, cross multiply, and solve for ■ by converting them into their equivilent fractions.

i.e a : b = a/b.

So 4 : ■ becomes 4/■. And 8 : 14 becomes 8/14.

i.e a/b = c/d → b × c = a × d → bc = ad

Now 4/■ = 8/14 → ■ × 8 = 14 × 4 → 8■ = 56.

8■/8 = 56/8

1■ = 7

■ = 7

This method works for a missing part pretty much anywhere.

____________________

This is a little faster for ratios:

To find the value of the unknown part of the ratio,

just find the factor between two corresponding numbers, and apply that to the known number corresponding to the unknown part.

4 : ■ = 8 : 14

Notice that 4 corresponds to 8

So the factor between these is 2.

Since from 8 to 4 is a multiple of 1/2. 8 × 1/2 = 4, and 14 × 1/2 = ■.

Therefore ■ = 14 × 1/2 = 14/2 = 7

4 0
3 years ago
40 points!!! Please help me solve
lana66690 [7]

Answer:

34.6

Step-by-step explanation:

In this triangle we have an angle which is 38° and the side opposite to it which is 27 and we have to find the adjacent side

There is only one formula which have these two sides

tan

tan∅ = opposite ÷ adjacent

tan 38° = 27 ÷ x

x = 27 ÷ (tan 38°)

x = 34.56

x≈ 34.6

6 0
2 years ago
Read 2 more answers
Solve the equation. Enter your answer in the box.<br><br> x=27−−√3<br> x=???<br> HELP ASAP
-BARSIC- [3]

Answer:

x=-39

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
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