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Vanyuwa [196]
3 years ago
12

A maple syrup producer would like to increase production by 500 gallons per each consecutive year with a goal of producing at le

ast 20,000 gallons of syrup cumulatively for the first five year period of production.
If the first year’s production, in gallons, is given by x, write expressions for each of the other years’ productions.

Year 1 = x Year 2 = Year 3 = Year 4 = Year 5 =



b) Find all possible values of syrup that could be produced the first year to meet the goal of at least 20,000 gallons cumulatively over the five-year period. You must set up a mathematical formula/rule and solve algebraically.
Mathematics
1 answer:
ipn [44]3 years ago
8 0

Answer:

b) x ≥ 3000 gallons

Step-by-step explanation:

Part a)

Production of Year 1 = x gallons

By each year the producer will increase the production by 500 gallons. So,

Production in Year 2 = x + 500 gallons

Similarly,

Production in Year 3 = x + 500 + 500 = x + 1000 gallons

Production in Year 4 = x + 1000 + 500 = x + 1500 gallons

Production in Year 5 = x + 1500 + 500 = x + 2000 gallons

Part b)

The maple syrup producer wants to produced atleast 20,000 gallons in 5 years.

Total amount produced in 5 years = x + x + 500 + x + 1000 + x + 1500 + x + 2000

Total amount produced in 5 years = 5x + 5000

Since, producer wants total production to be atleast 20,000, we can set up the inequality as:

5x + 5000 ≥ 20000

Subtracting 5000 from both sides, we get:

5x ≥ 15000

Dividing both sides by 5, we get:

x ≥ 3000

This means, in the first year the production of maple syrup must be atleast 3,000 gallons i.e 3000 gallons or more to have a total of atleast 20,000 gallons in 5 years.

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Leto [7]

Answer:

2.45c + 1.65c = 4.12 + 0.75

Step-by-step explanation:

To write an equation to find the value for c, we need to declare what c is first.

c = price of fruit

2.45c + 1.65c = 4.12 + 0.75

Now we multiplied c to 2.45 and 1.65 and added them together, because whatever the value of c is will give us the equivalence of the sum of 4.12 + 0.75.

Now to check if the equation is right, let's solve for c.

2.45c + 1.65c = 4.12 + 0.75

4.1c = 4.87

Now to get the value of c, we divide both sides of the equation by 4.1.

\dfrac{4.1c}{4.1}=\dfrac{4.87}{4.1}

c = 1.19

Now let's substitute the value of c in the equation to see if we got it right.

2.45(1.19) + 1.65(1.19) = 4.12 + 0.75

2.92 + 1.96 = 4.87

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Therefore concluding that the value of c is 1.19.

7 0
3 years ago
Answer choices:<br><br> y = x<br> y = 1/4x - 2<br> y = -x + 7/4<br> y = 7/4x - 2
kumpel [21]

Answer:

all in all it's y=x

Step-by-step explanation:

A (4,1); B (0,-2)

G=delta y

--------

delta x

1-(-2)

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4-0

3/4=G

3/4=y-1/x-4

4 (y-1)=3 (x-4)

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Given m||n, find the value of x.<br> +<br> (5x+16)<br> mm<br> (6x-7)
kupik [55]

Based on the definition of congruent angles, the value of x is: 23.

<h3>What are Congruent Angles?</h3>

Congruent angles have the same measure. Examples of angles that are congruent are:

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Thus:

(5x + 16) = (6x - 7) -- congruent angles

Combine like terms

5x - 6x = -16 - 7

-x = -23

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Therefore, based on the definition of congruent angles, the value of x is: 23.

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2 years ago
Please help! Will mark brainliest! Not hard at all!
Trava [24]

Answer:

I think that the answer is A) $0.50

Step-by-step explanation:

So, if you want to figure out how much the strawberries cost for year 0, all you have to do is go to the point (0,4). For the first year the price of the strawberries have increased to 4.50. I know this because when you look at the graph, it looks like the point is in the middle of 4, which makes 4.50. So the price of the strawberries in year 1 is (1, 4.50). The price for year two is (2, 5) and so forth. This is what the pattern would be (0,4) (1, 4.50) (2, 5) (3, 5.50) (4,6) (5, 6.50) (6, 7) (7, 7.50) (8,8) (9, 8.50) (10, 9).......etc.

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3 years ago
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