Answer:
7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.
Step-by-step explanation:
We are given that,
The amount of ingredients needed for the trail mix are,
Raisins = cup
Peanuts = 1 cup
Chocolate chips = cup
Since, Kiran needs to make 10 cups of the trail mix.
The amount of ingredients needed will be,
Raisins = = = 7.5 cups
Peanuts = 1 × 10 = 10 cups
Chocolate chips = = 5 cups
Hence, the ingredients needed are 7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.
The value of x when y =4 is 2
<h3>How to solve for x?</h3>
An inverse proportion is represented as:
k = yx
Where
k represents the constant of proportion
When y = 2, x = 4.
So, we have:
k =2 * 4
k = 8
Substitute k = 8 in k = yx
So, we have:
yx = 8
When y = 4, we have:
4x = 8
Divide by 4
x = 2
Hence, the value of x when y =4 is 2
Read more about variation at:
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Answer: b) f(m)
Step-by-step explanation:
First we are gonna find the 3% of $3000 and take it from the $157.50.
3000 x 0.03 = $90
157.60 - 90 = $67.50
Then we are gonna find the amount that 4.5% of is equal to $67.50.
4.5/100=67.50/x (cross multiply)
4.5x = 67.50x100
4.5x = 6750 (divide both sides by 4.5)
4.5x/4.5 = 6750/4.5
x = 1500
Therefore the amount she earned in sales is $3000 + $1500 = $4500
Answer:
Third option : 9^10 / 9^2
Step-by-step explanation:
9^2 . 9^6
Formula / Identity : -
a^m . a^n = a^( m + n )
Here,
a = 9
m = 2
n = 6
9^2 . 9^6
= 9^( 2 + 6 )
=9^8
9^10 / 9^2
Formula / Identity : -
a^m / a^n = a^( m - n )
Here,
a = 9
m = 10
n = 2
9^10 / 9^2
= 9^( 10 - 2 )
= 9^8
Therefore,
9^10 / 9^2 is equivalent to 9^2 . 9^6.
