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vladimir1956 [14]
3 years ago
9

A man purchased a magazine at the airport for $2.69. The tax on the purchase was $0.13. What is the tax rate at the airport? The

tax rate is %. (Round to the nearest percent as needed.) ​
Mathematics
1 answer:
alexdok [17]3 years ago
6 0

We need to find the percent, let's start but making the equation.

The price is 2.69

The tax cost is 0.13

So what percent of 2.69 is = 0.13.

Equation: X/100 x 2.69 = 0.13

Multiply each side by 100 so we can get x alone with the price: 2.69x = 13

Now to get x alone, we must divide both sides by 2.69: x = 4.8

Finally, we just round 4.8 to the nearest whole number, which is 5 (5 or above give it a shove, 4 or below let it go, we have 8 so we give it a shove). This means that the answer will be 5%.

I hope this helps! :)

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For his phone service, Michael pays a monthly fee of $16, and he pays an additional $0.04 per minute if use. The least he has be
ikadub [295]

Answer: The least number of minutes that he has used his phone in a month is 1248

Step-by-step explanation:

Let m represent the number of minutes that he used his phone in a month.

For his phone service, Michael pays a monthly fee of $16, and he pays an additional $0.04 per minute if use. This means that if he used m minutes in a month, the total cost would be

16 + 0.04m

The least he has been charged in a month is $69.52. This means that

16 + 0.04m ≥ 65.92

0.04m ≥ 65.92 - 16

0.04m ≥ 49.92

m ≥ 49.92/0.04

m ≥ 1248 minutes

6 0
3 years ago
1/2x3+1/4x2 =<br> i need to know please
FrozenT [24]
In complex calculations like this,  the precedence goes like this

B = Brackets
O = Of (or Exponent)
D = Division
M = Multiplication
A = Addition
S = Substraction

So, in your formula, it will go like this

1/2x3+1/4x2
= 0.5 x 3 + 0.25 x 2
= 1.5 + 0.5
= 2

Hope this helps.
4 0
3 years ago
A four-sided die is loaded in a way that the probability of a face is proportional to the number of dots (there are 1, 2, 3, and
alisha [4.7K]

Answer:

a) The probabilities are:

Pr(1) = 1/4

Pr(2) = 1/4

Pr(3) = 1/4

Pr(4) = 1/4

b) Pr(sum of 6 or more on two throw) = 6/16 = 3/8.

c) If the die was fair, it should have six (6) numbers => (1,2,3,4,5,6) and the sample space from two throw will be 6^{2} = 36.

Hence, Pr(sum of 6 or more on two throw) = 26/36 = 13/18.

Step-by-step explanation:

a) Since the probability of a face is proportional to the number of dots (there are 1, 2, 3, and 4 dots on the respective sides), then the occurrence of any outcome in a single throw are equally likely. Hence, there is equal probability of occurrence.

By probability, we say

Pr(x) = number of favorable event/ total number of possible events

Therefore, the total number = 4, and each can occur at equal probability. This is why the answer are:

Pr(1) = 1/4

Pr(2) = 1/4

Pr(3) = 1/4

Pr(4) = 1/4

b) The sample space when the die is thrown twice = 4^{2} = 16 possible outcome.

Among the outcomes, those that will have 6 or more when sum are just six (6). They are:

(2,4), (3,3), (3,4), (4,2), (4,3), and (4,4)

Thus, Pr(sum of 6 or more on two throw) = 6/16 = 3/8.

Just for understanding:

Other outcome from the sample space are:

(1,1), (1,2), (1,3), (1,4)

(2,1), (2,2), (2,3), ___

(3,1), (3,2), ___,  ___

(4,1), ___, ___,   ___

If you observe, the dash are the ones we have listed above!

c) When the die is fair, this is what happen.

Just for understanding:

Other outcome from the sample space when the die is fair are:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

The bold outcome are values when sum are 6 or more. And there are 26 of them.

5 0
3 years ago
If JL = 30, JK = 18, and LM = 6, then the value of LN is:
harina [27]

Answer:

LN = 15

Step-by-step explanation:

The arrows on the line segments indicate they are parallel.

\implies \overline{KM} \parallel \overline{JN}

<u>Triangle Proportionality Theorem</u>

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then it divides these two sides <u>proportionally</u>.

\textsf{If }\overline{KM} \parallel \overline{JN}, \textsf{ then }\dfrac{LK}{LJ}=\dfrac{LM}{LN}

Given:

  • LM = 6
  • JL = 30
  • JK = 18

⇒ LK = JL - JK = 30 - 18 = 12

Substituting the values into the equation and solving for LN:

\begin{aligned}\implies \dfrac{LK}{LJ} & = \dfrac{LM}{LN}\\\\\dfrac{12}{30} & = \dfrac{6}{LN}\\\\12LN & = 30 \cdot 6\\\\LN & = \dfrac{180}{12}\\\\LN & = 15\end{aligned}

7 0
2 years ago
Read 2 more answers
A store sells ink jet printers and laser printers. On Monday, it sold a total of 100 printers. The store earns $40 profit for ea
andrew-mc [135]

Answer:

The store sold 20 more ink jet printers than laser printers.

Step-by-step explanation:

Since the store sold 100 printers, you can say that the result of adding up the numbers of each type of printers sold is equal to 100, which is:

x+y=100, where:

x is the number of ink jet printers sold

y is the number of laser printers sold

Also, you know the amount the profit the store gets for each type of printer and the total profit received on Monday which means that adding up the results of multiplying each type of printer for its price is equal to the total profit, which can be expressed as:

40x+55y=4,600

Now, you have two equations:

x+y=100 (1)

40x+55y=4,600 (2)

You have solve this system of equations to find the number of ink jet and laser printers that were sold. First, you have to solve for x in (1):

x=100-y (3)

Then, you have to replace (3) in (2) and solve for y:

40(100-y)+55y=4,600

4000-40y+55y=4,600

15y=600

y=600/15

y=40

Finally, you can replace the value of y in (3) to find the value of x:

x=100-40

x=60

Now that you know that the store sold 60 ink jet printers and 40 laser printers, you can find the difference between this numbers to be able to know how many more ink jet printers were sold:

60-40=20

According to this, the answer is that the store sold 20 more ink jet printers than laser printers.

7 0
3 years ago
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