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andre [41]
3 years ago
9

Help with#14 please!!!

Mathematics
1 answer:
Alisiya [41]3 years ago
7 0
<h3>▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪</h3><h3 /><h3><u>Question</u> : 14</h3>

let's solve for f :

  • \dfrac{1}{f}  =  \dfrac{1}{a}  +  \dfrac{1}{b}

  • \dfrac{1}{f}  =  \dfrac{b + a}{ab}

Taking reciprocal of both sides :

  • f =  \dfrac{ab}{a + b}
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Kyle bought himself a pair of shoes for 89.50 and he bought his nephew a pair for half the price of his shoes. If the sales tax
ycow [4]
Solution-

89.50/2 = 44.75

44.75 is the amount he spent to buy his nephew the pair of shoes.

Now, we are going to add the amount he spent for himself and his nephew together. 

89.50 + 44.75= 134.25

134.25 is the amount he spent in total, now we need to find the final amount with sales tax included.

We can do this by multiplying the total price by .075

134.25 * .075 = 10.07 (I rounded this to the nearest hundredths because we are dealing with money)

Now we need to add the two number together. 

134.25 + 10.07 = 144.32

Answer- 

The total amount Kyle spent is $144.32 


3 0
3 years ago
what is the value of the expression? 4(6/10−1/5)+0.4 enter your answer, in simplest form, in the box.
MA_775_DIABLO [31]

Answer: 2.0

Step-by-step explanation:

The given expression : 4(\dfrac{6}{10}-\dfrac{1}{5})+0.4

To solve the given expression , we need to follow BODMAS (Bracket→ Of Divide→ Multiplication →Add →Subtract).

According to BODMAS , first we simplified the expression present inside the brackets .

4(\dfrac{6-2(1)}{10})+0.4  [10= LCM[10,5]]

=4(\dfrac{6-2}{10})+0.4

=4(\dfrac{4}{10})+0.4

=(\dfrac{4\times4}{10})+0.4   [Multiply]

=(\dfrac{16}{10})+0.4   [Simplify]

=1.6+0.4=2.0 [Add]

Hence, the value of the expression in the simplified form = 2.0

6 0
4 years ago
Parking in a student lot costs $2 for the first half hour and $1.75 for each hour thereafter. A partial hour is charged the same
Masteriza [31]

An easier way to think of this problem is just keep adding for each additional hour: 


0.5 hours --> $2 

1.5 hrs --> $3.75 

2.5 hrs --> $5.50 

3.5 hrs --> $7.25 


and since you can only spend $7, the maximum time is 2.5 hours

3 0
3 years ago
Read 2 more answers
As a television executive, you have been given 12 shows to choose from to run during your prime time slots each week. If you hav
Oksanka [162]

Answer:

You can create the schedule for the week in 19,958,400 ways.

Step-by-step explanation:

The order in which the shows are scheduled is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

How many ways can you create the schedule for the week?

8 shows from a set of 12. So

P_{(12,8)} = \frac{12!}{(12-8)!} = \frac{12!}{4!} = 19958400

You can create the schedule for the week in 19,958,400 ways.

5 0
3 years ago
Want 100 Points??? Then plz help me on my HW. A grocery store advertises cherries on sale for $2 per pound. At a different store
quester [9]

11 / 2.75 = 4

2 * 2.75 = 5.5

11 - 5.5 = 5.5.

Milliw paid $5.50 more than she would have if she bought them on sale. The work should explain the answer. She spent $11 on 2.75 lbs of cheeries when she could've spent half of that on cherries which were on sale.

4 0
3 years ago
Read 2 more answers
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