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Kobotan [32]
2 years ago
13

A food production company is choosing between two suppliers of grain. Supplier A sells grain for $5.25 per bushel plus a deliver

y fee of $3 per bushel. Supplier B sells the grain for $6.50 per bushel plus a flat delivery fee of $1,500 each week. Which supplier would cost more if the production company bought 500 bushels of grain each week?
Supplier B would cost $625 more than supplier A.
Supplier B would cost $600 more than supplier A
Supplier A would cost $875 more than supplier B.
Supplier A would cost $800 more than supplier B.
Mathematics
2 answers:
Sedbober [7]2 years ago
5 0
The answer is: We let x be the number of bushels of grain bought each week.

The cost if Supplier A is chosen is represented by:
CA = 5.25x + 3x

The cost if Supplier A is chosen is represented by:
CB = 6.50x + 1500

If x = 500

Then,
CA = 5.25(500) + 3(500)
CA = $4,125

CB = 6.50(500) + 1500
CB = $4,750

Supplier A could cost more if the production company bought 500 bushes of grain each week. hope this helps :D
Novay_Z [31]2 years ago
3 0

ANSWER:

supplier B would cost 625 more than supplier a


Step-by-step explanation:

so for supplier A each bushel is 5.25

so 5.25 x 500 = 2625

and we have to add the shipping for each bushel to that price so

3 x 500 = 4125 including the price of 500 bushels

follow the same steps for b and find that supplier bs total is 4750

so supplier B is 625 more than supplier A

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Answer:

Alison wins against Kevin by 0.93 s

Step-by-step explanation:

Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration a_a, we have the following equation of motion

s/4 = a_at_a^2/2

where s (m) is the total distance, ta = 3 s is the time

s = 4a_a3^2/2 = 18a_a

a_a = s/18

Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration a_k, we have the following equation of motion:

s/3 = a_kt_k^2/2

tk = 4 s is the time

s = 3a_k4^2/2 = 24a_k

a_k = s/24

Since a_a = s/18 we can conclude that a_a > a_k, so Alison would win.

The time it takes for Alison to cover the entire track

s = a_aT_a^2/2

T_a^2 = 2s/a_a = 2s/(s/18) = 36

T_a = \sqrt{36} = 6 s

The time it takes for Kevin to cover the entire track

s = a_kT_k^2/2

T_k^2 = 2s/a_k = 2s/(s/24) = 48

T_a = \sqrt{48} = 6.93 s

So Alison wins against Kevin by 6.93 - 6 = 0.93 s

4 0
2 years ago
Identify the rule of inference that is used to derive the conclusion "You do not eat tofu" from the statements "For all x, if x
Arturiano [62]

Answer:

1(b) ∀ (A(x) ⇒ B(x) )

2(b) ∀ (B(x) ⇒ C(x) )

3(b) ∀ (B(x) ⇒ E(x) )

Step-by-step explanation:

1) Tofu is healthy

2) Tofu is healthy to eat

3) Tofu eats what taste good

1a) For all x, if x is healthy to eat

2a) For all x, if x is not healthy to eat, then x does not taste good.

3a) For all x, if x is healthy to eat, then x is healthy to eat what tastes good

For all x in order to symbolize the statement

1(a)   2(a)  3(a)

If we use:

A(x): Tofu is healthy

B(x): Tofu is healthy to eat

C(x): Tofu eats what taste good

E(x): Tofu only eat what tastes good

If we symbolize "For all x" by the symbol ∀ then then the propositions 1(a), 2(a) and 3(a) can be written as:

1(b) ∀ (A(x) ⇒ B(x) )

2(b) ∀ (B(x) ⇒ C(x) )

3(b) ∀ (B(x) ⇒ E(x) )

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2 years ago
a motor boat traveled 18 miles down a river in 2 hours but took 4.5 hours to return upstream. Find the rate of the motor boat in
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Answer:

  • rate of the boat in still water = 6.5 miles / hour

  • rate of the current = 2.5 miles / hour.

Explanation:

<u>1) Name the two variables:</u>

  • c: rate of the current
  • b: rate of the boat in still water:

With that, the net rates of the boat down the river and upstrean are:

  • down the river: b + c
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<u>2) Now set the equations for the distance as a function of the times and the rates:</u>

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  • downstream: 18 miles = (b + c) × 2 hours
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<u>3) Set the system of equations:</u>

  • 18 = 2(b + c) ⇒ 9 = b + c . .  . Equation (1)
  • 18 = 4.5 (b - c) ⇒ 4 = b - c . . . Equation (2)

<u>4) Solve the system by </u><u>elimination</u><u>:</u>

  • Add equations (1) and (2): 9 + 4 = 2b
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  • Replace b with 6.5 in equation (2) and solve:

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<u>5) Results:</u>

  • b = rate of the boat in still water = 6.5 miles / hour

  • c = rate of the current = 2.5 miles / hour.

   

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