Answer:
1714
Step-by-step explanation:
hope this helps have a great day
If the price of the yogurt is directly proportional to the weight of the purchase, then it can be expressed as:
Price of yogurt = weight of purchase
With the given above, it can be further expressed as:
$5.04 = 12 oz
These can be expressed in ratio form, which is:
5.04/12
Thus, if the cup weighs 8 oz and we don't know how much it costs, then the ratio should be:
n = 8 oz, or in fractions:
n/8
After this, simply equate the two and cross multiply.
5.04 / 12 = n/8
5.04(8) = 12n
40.32 = 12n
Then solve for n:
40.32 /12 = 12n/12
n = 3.36.
Thus, the 8 oz. cup of yogurt costs $3.36.
Answer:
Solution
p = {-3, 1}
Step-by-step explanation:
Simplifying
p2 + 2p + -3 = 0
Reorder the terms:
-3 + 2p + p2 = 0
Solving
-3 + 2p + p2 = 0
Solving for variable 'p'.
Factor a trinomial.
(-3 + -1p)(1 + -1p) = 0
Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve:
Simplifying
-3 + -1p = 0
Solving
-3 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -1p = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -1p = 0 + 3
-1p = 0 + 3
Combine like terms: 0 + 3 = 3
-1p = 3
Divide each side by '-1'.
p = -3
Simplifying
p = -3
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:
Simplifying
1 + -1p = 0
Solving
1 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1p = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1p = 0 + -1
-1p = 0 + -1
Combine like terms: 0 + -1 = -1
-1p = -1
Divide each side by '-1'.
p = 1
Simplifying
p = 1
Solution
p = {-3, 1}
Answer:
24
Step-by-step explanation:
Problems at start = 32
-Problems done Friday = ¼ × 32 = <u> 8</u>
Problems still to be done = 24
Andrea had to do 24 problems on Saturday to complete the homework.
Answer:
The first number is 138.
Step-by-step explanation:
Let the first number be <em>x.</em>
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Then since they are consecutive numbers, the second number will be (<em>x</em> + 1), the third (<em>x</em> + 2), the fourth (<em>x</em> + 3) and the fifth being (<em>x</em> + 4).
We are given that their sum is 700. Therefore:
Solve for <em>x</em>. Combine like terms:
Subtract 10 from both sides:
Divide both sides by five. Therefore:
The first number is 138.
