Sherry is making a snack mix for a school field trip.

Mathematics

1 answer:

Tatiana [17]2 years ago

6 0

Answer:

4.5 cups, 12 bags

Step-by-step explanation:

Each batch makes 6 bags, so if she makes 18 bags she needs 3 times as many cups of almonds, 1.5 x 3 = 4.5

If she uses 6 cups of granola she is using twice as much so she could make 12 bags.

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A country's population in 1992 was 72 million. In 1998 it was 76 million. Estimate the population in 2012 using the exponential

stepan [7]

We assume the annual percentage increase is the same. We will work out the constant k using the formula

We have
P = 76
A = 72
t = 6 years (from 1992 to 1998)

Substitute into the formula
$76=72e^{6k}$
$\frac{76}{72}=e^{8k}$
Take log both sides give
$ln( \frac{76}{72})=ln(e^{6k})$
$0.05406722127=6k$
$k=0.009$

We can now work out the number of population by the end of 2012 using the formula

We have
A = 72 million
k = 0.009
t = 10 years (1992 to 2012)

$P=72e^{0.009*10}$ $P=78.78$ ≈79 million

7 0

3 years ago

A puzzle book cost $4.25. A NOVELCOST $9.70 more than the puzzle book. Which is the most reasonable estimate for the total cost

NNADVOKAT [17]

Answer:

$18

Step-by-step explanation:

$4.25 + $9.70 + $4.25 = $18.20

3 0

3 years ago

Read 2 more answers

B ^ 2 - 4b - 14 = 0

Blizzard [7]

Simplifying
b2 + -4b + -14 = 0

Reorder the terms:
-14 + -4b + b2 = 0

Solving
-14 + -4b + b2 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '14' to each side of the equation.
-14 + -4b + 14 + b2 = 0 + 14

Reorder the terms:
-14 + 14 + -4b + b2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -4b + b2 = 0 + 14
-4b + b2 = 0 + 14

Combine like terms: 0 + 14 = 14
-4b + b2 = 14

The b term is -4b. Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4b + 4 + b2 = 14 + 4

Reorder the terms:
4 + -4b + b2 = 14 + 4

Combine like terms: 14 + 4 = 18
4 + -4b + b2 = 18

Factor a perfect square on the left side:
(b + -2)(b + -2) = 18

Calculate the square root of the right side: 4.242640687

Break this problem into two subproblems by setting
(b + -2) equal to 4.242640687 and -4.242640687. b + -2 = 4.242640687

Simplifying
b + -2 = 4.242640687

Reorder the terms:
-2 + b = 4.242640687

Solving
-2 + b = 4.242640687

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + b = 4.242640687 + 2

Combine like terms: -2 + 2 = 0
0 + b = 4.242640687 + 2
b = 4.242640687 + 2

Combine like terms: 4.242640687 + 2 = 6.242640687
b = 6.242640687
Simplifying
B = 6.242640687

Subproblem 2
b + -2 = -4.242640687

Simplifying
b + -2 = -4.242640687

Reorder the terms:
-2 + b = -4.242640687

Solving
-2 + b = -4.242640687

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + b = -4.242640687 + 2

Combine like terms: -2 + 2 = 0
0 + b = -4.242640687 + 2
b = -4.242640687 + 2

Combine like terms: -4.242640687 + 2 = -2.242640687
b = -2.242640687

Simplifying
b = -2.242640687

3 0

3 years ago

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What is equivalent to -1/4y -2 1/4y + 1/2 (4-2y)

yan [13]

Answer:

$14y - 8 = 0$