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anzhelika [568]
3 years ago
11

Marina volunteers at the salvation army. she has been tasked with buying non-perishable items for families that were displaced b

y a recent flood. she finds a company willing to sell her cans of food at a discounted price. in the system below x represents the number of small cans she purchased and y represents the number of large cans she purchased.
2.25x+4.75y=714.75
x+y=181

part c: how many small cans did marina purchase
part d:how many large cans did marina purchase
Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0
Idkbdkakhanamakwwwvwbsjozuxbsbakakzuxjnwnaushx
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Find the area of a plane figure bounded by lines
natulia [17]

Answer: 4.5

<u>Step-by-step explanation:</u>

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6   ⇒   x² + x - 2 = 0   ⇒   (x + 2)(x - 1) = 0   ⇒   x = -2, x = 1

Now, integrate from x = -2 to x = 1

\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,    <em>the bottom of the integral is -2 </em>

= \int\limits^1_2 {x+6-x^{2}-2x-4 } \,

= \int\limits^1_2 {-x^{2}-x+2 } \,  

= \frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,

= (\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))

= (\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)

= \frac{-9}{3} + \frac{3}{2} +6

= -3 + 1.5 + 6

= 4.5


3 0
3 years ago
write five fractions equivalent to 1/2. What is the relationship between the numerator and denominator of fractions equivalent t
Vlada [557]
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different factions but the same value.
8 0
3 years ago
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There is no equation?

7 0
3 years ago
Suppose that 3 balls will be randomly put into 3 buckets, with each ball being equally likely to be put into each of the buckets
Yuliya22 [10]

Answer:

\frac{1}{27}

Step-by-step explanation:

Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...

\frac{1}{3} * \frac{1}{3} * \frac{1}{3}  = \frac{1}{27}

Finally, we see that the probability of all three balls landing in the same bucket is \frac{1}{27}

8 0
3 years ago
A suncatcher has 6 sections. Each section is in the shape of a parallelogram witha base of 12 cm and a height of 8 cm. What is t
jonny [76]

Answer:

576 cm²

Step-by-step explanation:

Given:

Number of sections in a suncatcher (n) = 6

Each section is in the shape of a parallelogram.

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Now, area of a parallelogram is given as:

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Now, there are 6 parallelogram shaped sections.

So, area of the sections = area of 1 section × total number of sections

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Therefore, the total area of the sections of a suncatcher is 576 cm².

5 0
3 years ago
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