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valentina_108 [34]
2 years ago
4

John manufactures household furniture. His start-up costs, including tools, plans, and advertising, total $5000. Labor and mater

ials for each piece of furniture total $350, and his production costs are the sum of his start-up costs plus the cost of labor and materials. If John makes f pieces of furniture, what will be his production costs, c, in dollars?
Mathematics
1 answer:
miskamm [114]2 years ago
8 0

Answer: c = $5000+$350f

Step-by-step explanation:

This question requires you to express John's production costs, c, in the form of an equation. The equation should include all other variables affecting his production costs.

To get John's production costs, c, we need to add his start-up costs to the costs of labor and materials for each piece of material.

The variable f should be multiplied to $350 dollars as the number of furniture pieces affects the cost of labor and materials, thus effecting total production costs, c.

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It takes 45 minutes to drive to the nearest bowling alley taking city streets going
Savatey [412]

Answer:

21 minutes

Step-by-step explanation:

Given the following :

Taking CITY STREET:

Time taken to drive to nearest bowling alley = 45 minutes = 45/60 = 0.75 hours

Speed of travel = 30 miles per hour

Taking FREEWAY:

speed of travel = 65miles per hour

If the distance to bowling alley is the same along both routes, The time taken along FREEWAY will be :

.

Distance to bowling alley taking city center :

Speed = distance / time

30 mph = distance / 0.75 hour

Distance = 30 × 0. 75 = 22.5 miles

Since distance is the same :

Time taken along FREEWAY :

Time taken = distance / speed

Time taken = 22.5 / 65 = 0.3461538 hour

Converting to minutes :

0.3461538 × 60 = 20.769 minutes

= 21 minutes ( to the nearest minute)

7 0
2 years ago
A helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. Angle ABC
In-s [12.5K]

Please consider the attached graph.

We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.

We will use trigonometric area formula to solve our given problem.

A=\frac{1}{2}a\cdot c\cdot\text{sin}(b), where angle b is angle between sides a and c.

For our given triangle a=5,c=8 and measure of angle b is 150 degrees.

A=\frac{1}{2}(5)\cdot (8)\cdot\text{sin}(150^{\circ})

A=5\cdot 4\cdot(0.5)

A=10

Therefore, the area of the triangle ABC is 10 square kilo-meters and option 'c' is the correct choice.

6 0
2 years ago
A property valued at $295,000 has a gross rent multiplier of 135. What is this property's monthly income? $2,458,$2,185,$2,525 O
velikii [3]
This is your formula:
135 =  \frac{295000}{x}
solve for x and your answer is:
x = 2185

4 0
2 years ago
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Tiffany ate 1/4 of a pizza. If there were 16 slices of pizza to begin with, how many slices did Tiffany eat?​
viktelen [127]

Answer:

Tiffany ate 4 slices of pizza

Step-by-step explanation:

1/4 of 16 is 4

6 0
2 years ago
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The scale of map is 4cm: 1km, the simplest possible ratio is a. 1cm: 250m b. 3cm: 560m c. 2cm: 340m
Zolol [24]

Answer:

1 cm : 250 m

Step-by-step explanation:

the scale is 4 cm : 1 km

4 cm/4 : 1 km/4

1 cm : 250 m

6 0
2 years ago
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