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deff fn [24]
3 years ago
15

The cost (in dollars) of making N birthday cakes is represented by C= 24n + 35. How many birthday cakes are made when the cost i

s $395? Show your work and include units in your Answer.
Mathematics
1 answer:
Andreyy893 years ago
4 0

The cost is $395.  You are trying to find <em>n</em> in 24<em>n</em> + 35.

Set C = 395.

You get 395 = 24<em>n</em> + 35.

Solve for <em>n</em> by first subtracting 35 from both sides of the equation:

395 - 35 = 360.

24<em>n</em> + 35 - 35 = 24<em>n</em>.

Now you have 360 = 24<em>n</em>.  Divide both sides by 24 to get:

15 = <em>n</em>.

So, 15 birthday cakes are made when the cost is $395.

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Graph A: A horizontal line goes from (1, 0.5) to (2, 0.5). Another horizontal line goes form (2, 0.2) to (7, (0, 2). Graph B: A
ZanzabumX [31]

Answer: neither graph A nor graph B, because, even though both curves are above the horizontal axis, neither graph has an area of 1

Step-by-step explanation:

<em>Areas under the graphs:</em>

<em />

<u>Graph A</u>

<u />(1)(0.5)+(7-2)(0.2)=1.5\\\\

<u>Graph B</u>

<u />\frac{\pi}{2}(1^{2})=\frac{\pi}{2}

As neither of these graphs have an area of 1, neither of them are density curves.

5 0
2 years ago
Read 2 more answers
Two points are separated on the ground by a distance of 43 km. Can they be placed on a 1 / 25000th map with dimensions 1.32 m on
Wittaler [7]

Answer:

No

Explanation:

The distance between the two points on the ground = 43km

\text{Scale}=\frac{1}{25000}

First, we calculate the distance between the two points in meters.

• 43km = 43,000 m.

Next, determine the distance it will take using the scale.

\begin{gathered} \frac{1}{25000}=\frac{x}{43000} \\ 25000x=43000 \\ x=\frac{43000}{25000} \\ x=1.72m \end{gathered}

The distance between the points using the scale is 1.72m.

Next, we see that the dimensions (1.32 m by 0.85 m) are smaller than the length.

As a final check, calculate the length of the diagonal of the map. The diagonal is usually the longest part.

\text{Diagonal}=\sqrt[]{1.32^2+0.85^2}=1.57m

Since 1.57m is still less than 1.72m, the two points cannot be placed on the map.

7 0
1 year ago
A total of 200 songs were played at a party in the ratio of 3 : 2 : 5. if the amount representing Vybez Kartel is 5 How many of
Jobisdone [24]

Answer:

100

Step-by-step explanation:

Because it would be the most common it would make no sense if any of the other options would represent the value of 2 and 3 if it had it would go over the amount of 200. But if they were represented by numbers 3 would be 60 and 2 would be 40 multiplying by two and ofc 5 would be 100.

6 0
3 years ago
Read 2 more answers
What is the area in square units of the shaded region
sergey [27]

Answer:

The answer to your question is the letter D. 19.5 u²

Step-by-step explanation:

Process

1.- Calculate the Area of the rectangle ABCD

Area of a rectangle = base x height

                                 = (4 + 5) x 3

                                 = 9 x 3

                                 = 27 u²

2.- Calculate the area of the large triangle

Area of a triangle = base x height/2

-Substitution

Area of a triangle = (4 + 5) x 3/2

-Simplification

Area of a triangle = 9 x 3/2

-Result

Area of a triangle = 13.5 u²

3.- Calculate the area of the small triangle

Area of the triangle = 4 x 3/2

Area of the triangle = 6 u²

4.- Sum up the area of the triangles

Shaded area = 13.5 + 6 = 19.5 u²                  

7 0
3 years ago
4) The cost of membership at local country club is $125 per family member per month. Each family also has to pay $75 in service
lyudmila [28]
C(x)=125x+75
You multiply 125 by how many family members and and the 75
6 0
4 years ago
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