Anut mixture of almonds and cashew nuts at a small fair is $1.00 per pound of almonds and $3.55 per pound of cashew nuts. over the entire day, 65 pounds of the nut mixture were sold for $189.95. if p is the number almonds and n is the number of cashew nuts, then the system of equations that models this scenario is: p+n=65p+3.55n=189.95p+n=65p+3.55n=1 89.95 determine the correct description and amount of pounds for almonds and cashew nuts that were sold. a (26.0, 39.0)there were 26.0 pounds of almonds and 39.0 pounds of cashew nuts sold at the fair. b (16.0, 49.0)there were 16.0 pounds of almonds and 49.0 pounds of cashew nuts sold at the fair. c (49.0, 16.0)there were 49.0 pounds of almonds and 16.0 pounds of cashew nuts sold at the fair. d (39.0, 26.0)there were 39.0 pounds of almonds and 26.0 pounds of cashew nuts sold at the fair.

B. (16.0, 49.0) There were 16.0 pounds of almonds and 49.0 pounds of cashew nuts sold at the fair.

Step-by-step explanation:

Here, p represents the number of pounds of almond and n be the number of pounds of cashew nuts,

Since, total nuts = 65

⇒ p + n = 65 (1)

Also, the total spending is $ 189.95 in which almond costs $ 1.00 per pounds and cashew costs $ 3.55 per pound,

⇒ p + 3.55n = 189.95 (2)

Equation (1) - equation (2),

2.55n = 124.95

⇒ n = 49

From equation (1),

p + 49 = 65 ⇒ p = 16

Hence, there are 16 pounds of almonds and 49 pounds of cashew.

cant open file sorry!

step-by-step explanation:

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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