Answer:
d = 0.0175n ---> required equation
Billy can buy 285.714 gram nut with $5
Step-by-step explanation:
cost of 100g loose nut = $1.75
dividing LHS and RHS by 100
cost of 100/100g loose nut = $1.75
Thus, cost of 1 gm loose nut = $0.0175
let the weight of loose nut be n gm
Multiplying LHS and RHS by n
cost of x g loose nut = $0.0175*n = $0.0175n
It is given that Billy spent d dollars to buy n gm nuts
thus,
d = 0.0175n ---> required equation
________________________________________________
He spent $5 to buy nuts
substituting value of d as 5 we have
0.0175n = 5
=>n = 5/0.0175 = 285.714
Thus, Billy can buy 285.714 gram nut with $5.
Answer:
<u>$211.50</u>
Step-by-step explanation:
Initially:
21 hours per week at 8.25 per hours means:
21 * 8.25 = 173.25 dollars per person
16 person = 16 * 173.25 = $2772 (total)
2nd phase:
2 more cashier = 16 + 2 = 18 cashiers
Per hour 0.25 more, so 8.25 + 0.25 = $8.50 per hour
1.5 hrs less than 21, so 21 - 1.5 = 19.5 hours
Hence,
18 * 19.5 * 8.50 = $2983.50 (new total)
Change in money paid = 2983.50 - 2772 = $211.50
Convince yourself that there are 3 similar triangles in the diagram. Choose the
similarity statement that represents the relationship among the 3 triangles.
Answer:

OR {5, 6, 7, 8, .....}
Step-by-step explanation:
First of all, let us have a look at the interval shown on the number line and try to understand it properly.
The number line shows positive numbers starting from 3 that means numbers indicated will be positive numbers.
The number highlighted starts from 5 and there is filled circle at 5.
So, 5 is included in the interval.
The arrow is from 5 towards 8 and so on..
That means Numbers greater than or equal to 5 are represented by the interval.
So, writing as an inequality
Let
represents one of the numbers.
Hence, inequality can be written as:

Using the set notation:

OR
{5, 6, 7, 8, .....}
Answer:
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