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TEA [102]
3 years ago
14

A health food store makes trail mix using dried fruit and nuts. The cost of the dried fruit is $2.50 per

Mathematics
2 answers:
3241004551 [841]3 years ago
6 0

Answer:

Option A.

Step-by-step explanation:

The total cost of the mix is the sum of the cost for dried fruit and nuts.

Recognizing the first term has a coefficient of 2.5, which is the cost of the dried fruit per pound, the term 2.5x represent the total cost of the dried fruit, and x be the number of pound of dried fruit.

Vinil7 [7]3 years ago
5 0

Answer:

cost of dried fruit per pound=2.5 $/pound

cost of nuts per pound =2 $/pound

total cost=225$ =cost of dried fruit +total cost of nuts

To find the cost of dried fruit we need to multiply cost of dried fruit per pound and the number of bounds hence 2.5 x where x is the number of bounds

which is the total cost of dried fruit and consequently 2y is total cost of nuts where y is the weight of nuts in pound

Step-by-step explanation:

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Lucia has 3.5 hours left in her workday as a car mechanic. Lucia needs 1/2 of an hour to complete one oil change.
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Answer: So Lucía has 3.5 hours left, and need 1/2 of an hour (or 0.5 hours) to do one oil change.

a) If you divide the total time she has by the time she needs for each oil change, then you got the total number of oil changes that she can do in that time; this is:

3.5/0.5 = 7

So she can do 7 oil changes in 3.5 hours.

b) If she can complete two car inspections in the same amount of time it takes her to complete one oil change, then she can do two car inspections in 0.5 hours.

2*car inspections = 0.5 hours

car inspection = (0.5/2) hours

then one car inspection will take 0.5/2 = 0.25 hours.

c) Two ways to solve this:

1) Do the same that we did in a), this is: 3.5/0.25 = 14

she can do 14 car inspections.

2) If in 3.5 hours, she can do 7 oil changes, and in the time she does an oil change, she can do two car inspections, then in 3.5 hours she can do 7*2 car inspections, and 7*2 = 14

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3 years ago
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Answer:  x= -0.2

Step-by-step explanation:

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3 years ago
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
snow_lady [41]

Answer:

d = 1.46 m

Step-by-step explanation:

We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:

From the question given above,

F is inversely proportional to square of d. This can be written as:

F ∝ 1/d²

F = K/d²

Cross multiply

K = Fd²

But:

Force (F) = 0.006 N

Distance (d) = 4 m

Constant (K) =?

K = Fd²

K = 0.006 × 4²

K = 0.006 × 16

K = 0.096 Nm²

Therefore, the relationship between the force (F) and the distance (d) is:

F = K/d²

F = 0.096 / d²

Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:

Force (F) = 0.045 N

Constant (K) = 0.096 Nm²

Distance (d) =?

F = K/d²

0.045 = 0.096 / d²

Cross multiply

0.045 × d² = 0.096

Divide both side by 0.045

d² = 0.096 / 0.045

Take the square root of both side.

d = √(0.096 / 0.045)

d = 1.46 m.

7 0
3 years ago
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