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4vir4ik [10]
3 years ago
11

The neighborhood ice cream truck driver has to pay $650.00 a week to rent his truck. Each ice cream cone costs $0.75 to make and

sells for $1.60. Set up equation to figure out how many ice creams cones must be sold to make a profit of $100.00 for the week.
Mathematics
2 answers:
tia_tia [17]3 years ago
7 0
650- (1.60-.75)x=100

agasfer [191]3 years ago
6 0

Answer: 1.60x-.75x-650=100

Step by step explanation:

Ice cream truck rent $650.00 a week  

Each ice cream cone costs $0.75  

Sells Ice cream cone for $1.60

How many ice cream cones must be sold to make a profit of $100.00 for the week = x

Capital amount per week = $650 + $0.75 (per cone)

Profit per cone: $1.60 – $0.75 = $0.85

In order to make $100 profit, the expression would be:

$0.85x – $650 = $100

So if you solve the equation:

$0.85x =$100 + $650

x = $882

$0.85  ($882) - 650 = $100


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Help please. <br> Give the slope of y - 3 = 4(x + 8) and a point on the line
Sauron [17]
-----------------------------------------------------------
Make y the subject :
-----------------------------------------------------------
y - 3 = 4(x + 8)      
y - 3 = 4x + 32           // Apply distributive property
y = 4x + 35                // Add 3 to both sides

-----------------------------------------------------------
Identify Slope : 
-----------------------------------------------------------
Slope = 4

-----------------------------------------------------------
Find a point on the line :
-----------------------------------------------------------
When x = 0, 
y = 4(0) + 35              // Sub x = 0 into the equation 
y = 35                         // Combine like terms
Point = (0, 35)

-----------------------------------------------------------
Answers :
(a) Slope = 4
(b) One point on the line is (0, 35)
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4 0
4 years ago
What is the perimeter of a triangle with a 10 inch length and 21 inch width (on both sides)?
PSYCHO15rus [73]

Answer:

52 inches

Step-by-step explanation:]

Step one:

given data

Length of one side= 10inch

Width of the other two sides= 21 inches

Step two:

The perimeter of the triangle is given as

P= L+W+W

P=10+21+21

P=52 inches

6 0
3 years ago
The scale on a map shows that 200 miles is represented by 5 inches on a map.Which proportion can be used to find the distance on
inn [45]
If you would like to know which proportion can be used to find the distance on the map that represents 50 miles, you can calculate this using the following steps:

200 miles ... 5 inches
50 miles ... x inch = ?

200 * x = 5 * 50
x = 5 * 50 / 200
x = 1.25 inch

The correct result would be <span>x = 5 * 50 / 200.</span>
4 0
3 years ago
Read 2 more answers
For which values of a the system 3−7x &lt; 3x−7 ,1+2x &lt; a+x has no solutions?
erica [24]

Answer:

a= -infinity to 3

Step-by-step explanation:

Given

3 - 7x < 3x - 7

1+2x < a+x

Required

Determine the value of a such that the inequality has no solution

Considering the first inequality (<em>Solve for x)</em>:

3 - 7x < 3x - 7

Collect Like Terms

3 + 7 < 3x + 7x

10 < 10x

Divide both sides by 10

1 < x

Reorder

x > 1

This means that the least value of x is 2;

Substitute x=2 in the second equation

1+2x < a+x

1 + 2(2) < a + 2

1 + 4 < a + 2

5 < a + 2

Collect Like Terms

5 - 2 < a

3 < a

Reorder

a > 3

This means that the least value of a is 4

Hence;

<em>The values of a for which the system has no solution is -infinity to 3</em>

8 0
4 years ago
A rotating light is located 20 feet from a wall. The light completes one rotation every 3 seconds. Find the rate at which the li
ss7ja [257]

Answer:

43.17 ft/s

Step-by-step explanation:

Let the height of the wall is y.

distance of wall from light is 20 feet.

tan\theta =\frac{y}{20}    

y = 20 tanθ    .... (1)

time period, T = 3 second

\frac{d\theta}{dt}=\frac{2\pi}{3}

Differentiate equation (1) with respect to t.

\frac{dy}{dt}=20sec^{2}\theta\times \frac{d\theta}{dt}

\frac{dy}{dt}=20sec^{2}10\times \frac{2\pi}{3}

dy/dt = 20 x 2.16

dy/dt = 43.17 ft/s

4 0
3 years ago
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