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butalik [34]
3 years ago
13

A toy company spends $20 for every doll it makes. Promotion of the dolls costs $400 and the company sells each doll for $30. How

many dolls must the company sell to make a profit?
What inequality represents this problem?

Question 3 options:

20d+400<30d

20d−400>30d

20d−30d>400

20d+30d>400
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
4 0

Answer:

20d+400< 30d

Step-by-step explanation:

we know that

The profit is equal to the number of dolls multiplied by the selling price minus  the number of dolls multiplied by the cost of each doll minus the cost of the promotion of the dolls

To make a profit, the number of dolls multiplied by the selling price minus  the number of dolls multiplied by the cost of each doll must be greater than the cost of the promotion of the dolls

Let

d -----> the number of dolls

The linear inequality that represent this problem is

30d-20d > 400

Adds 20d both sides

30d > 20d+400

Rewrite

20d+400< 30d

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Answer:

m = -3

Step-by-step explanation:

Slope Formula: m = \frac{y2-y1}{x2-x1}

Simply plug in our coordinates to find slope:

m = (11 - 2)/(5 - 8)

m = 9/-3

m = -3

5 0
3 years ago
Find the zeros of the function.
Rudik [331]

Answer:

Lesser x = -9

Greater x = 9

Step-by-step explanation:

5 0
2 years ago
a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.
spin [16.1K]

Answer:

\huge\boxed{7.79 \ \text{feet}}

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

    |\

    |  \

x   |    \      9

    |      \

    |        \                  

    |_____\

    4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that a^2+b^2=c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79

Hope this helped!

7 0
3 years ago
The sum of three consecutive integers is 108. Which equation would be used to solve this word problem? (HINT: The equation has b
Shtirlitz [24]
3 consecutive integers : x, x + 1, x + 2

x + (x + 1) + (x + 2) = 108...ur equation
3x + 3 = 108...ur equation that has been simplified some
4 0
3 years ago
Read 2 more answers
find a positive angle less than one revolution around the unit circle that is co-terminal with the given angle -15pi/17
natta225 [31]
ANSWER
=\frac{19}{17} \pi

EXPLANATION

To find a positive angle that is coterminal with
-  \frac{15}{17}  \pi

We add multiples of 2π until we get a positive angle that is less than one revolution,


We add to obtain,


-  \frac{15}{17}  \pi + 2\pi


This simplifies to,

=  \frac{19}{17} \pi

This is the first positive angle that is coterminal with
-  \frac{15}{17}  \pi


and is less than one revolution.
7 0
3 years ago
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