Answer:
15
Step-by-step explanation:
We are told in the question that:
Mr Smith's recipe calls for 2 1/2 cups of sugar for the cake and 1 1/4 cups of sugar for the vanilla glaze.
Step 1
We add up the total amount of sugar he would need
2 1/2 + 1 1/4
(2 + 1) + (1/2 + 1/4)
= 3 + (2 + 1/4)
= 3 3/4 cups of sugar.
Step 2
How many 1/4 cup scoops of sugar does he need?
This is calculated as:
3 3/4 cups of sugar ÷ 1/4
= 15/4 ÷ 1/4
= 15/4 × 4
= 15
Therefore, he would be needing 15 , 1/4 cup scoop of sugar
Answer:
a) y = 10x +500
b) $500
c) $15 for 100; $10.50 for 1000
Step-by-step explanation:
<h3>a)</h3>
We assume the given "cost per unit" is the variable cost per unit. The total cost (y) for x units, given some fixed cost (b), is ...
y = 10x +b
For 100 units, this is ...
1500 = 10(100) +b
500 = b . . . . . . . . subtract 1000
The cost function rule is ...
y = 10x +500
__
<h3>b)</h3>
The fixed cost is the cost of producing 0 units:
y = 10(0) +500
y = 500 . . . . . . . the fixed cost in dollars
__
<h3>c)</h3>
The average cost (ac) of producing n units is the total cost divided by n:
ac(n) = (10n +500)/n = 10 +500/n
The average cost for 100 units is
ac(100) = 10 +500/100 = 15 . . . average dollar cost for 100 units
The average cost for 1000 units is ...
ac(1000) = 10 +500/1000 = 10.50 . . . average dollar cost for 1000 units
Using absolute value, it is found that:
- The situation is described by the following equation:
- The markings should be between 45.5mm and 48.5mm.
---------------------------
The definition of the <em>absolute value function</em> is as follows:
----------------------------
The length should be set to 47mm with an allowance of 1.5mm, which means that <u>the absolute value of the difference between the length and 47 should be 1.5</u>, thus:
----------------------------
The solutions are:
The markings should be between 45.5mm and 48.5mm.
A similar problem is given at brainly.com/question/24514895
0.012. The first two zeros are not sig figs
