During a sale at the bookstore,books sold for $3 and magazines sold for $2.50.Jan spent $16 and bought a total of 6 books and magazines.how many of each did she buy
Answers
If you would like to know how many of each did Jan buy, you can calculate this using the following two equations:
b ... the number of books
m ... the number of magazines
$16 = b * $3 + m * $2.50 ... 16 = 3 * b + 2.50 * m
b + m = 6 ... b = 6 - m
__________________
16 = 3 * b + 2.50 * m
16 = 3 * (6 - m) + 2.50 * m
16 = 3 * 6 - 3 * m + 2.50 * m
16 - 18 = - 3 * m + 2.50 * m
- 2 = - 0.50 * m /0.50
m = 2 / 0.50
m = 4 magazines
b = 6 - m = 6 - 4 = 2 books
Result: Jan bought 4 magazines and 2 books.
2 books @ $3 a piece
6 in total for $16
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Answers
|x-3|>4 and |x-3|<-4
ok so |x-3|<-4 is false, since |x|≥0 always
so we have
|x-3|>4
now assume
x-3>4 and
x-3<-4
x-3>
add 3
x>7
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add 3
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so
-1>x and x>7
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in interval notaion
(-∞,-1)U(7,∞)
S={x|x<-1 or x>7}
A, 7
B. 8
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D. 10
Answers
For this case, the first thing we must do is find the unit cost.
We have then:
We now look for the number of hats that can be purchased with $ 154.44.
We have then:
Therefore, you can buy 9 hats with $ 154.44.
Answer:
Melissa sells 9 hats.
C. 9
$68.64/4=17.16
$154.44/17.16=9
Answers
Answer:
75 miles.
Step-by-step explanation:
By proportion the actual distance is 2.5 * 30
= 75 miles
Answers
Answer:
constant of proportionality is
Step-by-step explanation:
The direct proportionality says that:
then the equation is in the form of:
.......[1]
where, k is the constant of proportionality.
As per the statement:
Given the ratio 2/5
i.e,
then using [1] we have;
⇒
or
Therefore, the constant of proportionality for the ratio of 2/5 is;
The "constant of proportionality" is the value that relates the two amountsExample: you are paid $20 an hour (continued)The constant of proportionality is 20 because:Earnings = 20 × Hours worked
This can be written: y = kx
Where k is the constant of proportionality