Maria is making trail mix to sell for a fundraiser. She wants to use a nut mix that is 10% peanuts and another that is 50% peanuts. She wants to make 40 pounds of that mix that is 25% peanuts. How much of each type should she use?

Amount of pounds for nut mix 1 = 25

Amount of pounds for nut mix 2 = 15

Step-by-step explanation:

Let the amount of pounds for nut mix 1 = x

and amount of pounds for nut mix 2 = y

Amount of total mixture = 40 pounds

So, x + y = 40 ... Equation 1

10% peanuts for nut mix 1 = 0.1*x = 0.1x

50% peanuts for nut mix 2 = 0.5*y = 0.5y

25% peanuts for the mixture = 0.25*40 = 10

So, 0.1x + 0.5y = 10 ... Equation 2

So, we have the system of equations

x + y = 40 ... Equation 1

0.1x + 0.5y = 10 ... Equation 2

Multiply equation 1 by 0.1

0.1x + 0.1y = 40*0.1 = 4 ... Equation 3

We then have,

0.1x + 0.5y = 10 ... Equation 2

0.1x + 0.1y = 4 ... Equation 3

Subtract equation 3 from equation 2

0.1x - 0.1x + 0.5y - 0.1y = 10 - 4

0.4y = 6

Divide both sides by 0.1

0.4y/0.4 = 6/0.4

y = 15 pounds

Use y = 15 in equation 1

x + 15 = 40

x = 40 - 15

x = 25 pounds

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: