The total cost of Dara's purchases was $38.07. Upon subtracting this amount from her initial $50, she is left with $11.93 change.
To solve the problem, you need to add up how much Dara spends and subtract that from $50. First, add the cost of the sandals, shorts, and hat together:
When you add these three amounts together, you get $38.07. So, Dara has spent $38.07 in total. Now, subtract that amount from $50:
$50.00 - $38.07 = $11.93
This means Dara should get back $11.93 in change.
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The point-slope form of the equation for a line can be written as
... y = m(x -h) +k . . . . . . . for a line with slope m through point (h, k)
Your function gives
... f'(h) = m
... f(h) = k
a) The tangent line is then
... y = 5(x -2) +3
b) The normal line will have a slope that is the negative reciprocal of that of the tangent line.
... y = (-1/5)(x -2) +3
_____
You asked for "an equation." That's what is provided above. Each can be rearranged to whatever form you like.
In standard form, the tangent line's equation is 5x -y = 7. The normal line's equation is x +5y = 17.
Answer:
4 months linear function
Step-by-step explanation:
2. How many students said they would vote for Brianna?
Answer:
371 + 18x ≥ 566
Step-by-step explanation:
Sofia needs to order some new supplies for the restaurant where she works. The restaurant needs at least 566 glasses. There are currently 371 glasses. If each set on sale contains 18 glasses, which inequality can be used to determine xx, the minimum number of sets of glasses Sofia should buy?
We know:
current # of glasses= 371
glasses per set= 18
glasses needed= 566
# of sets= x
At least means she can also have more than 566 glasses, so we will use the ≥ ("greater than or equal to") symbol:
glasses per set⋅# of sets+current # of glasses≥glasses needed
18x+371 ≥ 566
or, by the commutative property of addition,
371+18x ≥ 566
Inequality #2
We could also switch the two sides of the inequality, but we have to be careful which symbol we use. At least means the number of glasses needed should always be less than or equal to the glasses the restaurant has, including the glasses they already had, plus the sets Sofia bought.
Inequality #3
566 ≤ 18x+371
or
566≤ 371+18x
Inequality #4
To determine the minimum number of sets of glasses Sofia should buy, an inequality can be used. Subtract the current number of glasses from the desired number of glasses and divide by the number of glasses in each set to find the minimum number of sets needed.
To determine the minimum number of sets of glasses Sofia should buy, we need to find the difference between the desired number of glasses and the current number of glasses. The desired number of glasses is given as at least 566 and the current number of glasses is 371. So the inequality we can use is: 566 - 371 ≥ 18x, where x is the number of sets of glasses Sofia should buy.
We subtract 371 from 566 to get 195 and then divide by 18 to find the minimum number of sets of glasses Sofia should buy. Therefore, the minimum number of sets of glasses = 195 ÷ 18 = 10.83. Since we can't have a fraction of a set, Sofia should buy at least 11 sets of glasses.
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