In Las Vegas, Nevada, stores charge a 4.6\%4.6%4, point, 6, percent state sales tax and a 3.65\%3.65%3, point, 65, percent county sales tax. Yuki is purchasing a handbag priced at \$220$220dollar sign, 220 before tax. How much sales tax does Yuki pay for her handbag purchase?
Answers
Answer:
$18.15
Explanation:
In this case, we can add the percentages because they are taken of the same number.
The state sales tax, 4.6%, will be taken of $220, the purchase price. The county sales tax, 3.65%, will also be taken of $220, the purchase price. Since they are being taken of the same number, we can add the percentages:
4.6+3.65 = 8.25%
Now we can take 8.25% of 220:
8.25% = 8.25/100 = 0.0825
0.0825(220) = $18.15
For this case, the total percentage of taxes is given by:
Then, to find the total percentage of taxes, we can make the following rule of three:
220 $ ---------------> 100%
x --------------------> 8.25%
From here, we clear the value of x.
We have then:
Answer:
The amount of taxes that Yuki pays is $ 18.15.
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The yard behind the Cindy’s house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet longer than the width w of the yard, what is the area of the yard, in square feet?
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Simply because perpendicular lines help you decide the center of both square and circle.
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The total value of gold when it was mined was $10.73.
In 1970, one ounce of gold cost $36.02. A miner found three pieces of gold in an underground mine in 1970.
The pieces weighed 0.080-ounce, 0.122 ounce, and 0.096 ounce. To find the total value of gold when it was mined, you need to multiply the weight of each piece of gold by the price per ounce in 1970 and add the results. To do so, let's find the value of each of the three pieces of gold: Value of first piece = 0.080 ounce × $36.02/ounce = $2.88Value of second piece = 0.122 ounce × $36.02/ounce = $4.39Value of third piece = 0.096 ounce × $36.02/ounce = $3.46Now, add up the value of all three pieces to find the total value of gold: $2.88 + $4.39 + $3.46 = $10.73
Therefore, the total value of gold when it was mined was $10.73.
know more about total value of gold.
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Part B: Find (m ⋅ n)(x). Show your work.
Part C: Find m[n(x)]. Show your work.
Answers
For this case we have the following functions:
For the sum of functions we have:
Substituting values:
Adding similar terms we have:
For the multiplication of functions we have:
Substituting values:
If we apply the distributive property we have:
Adding similar terms we have:
For the composition of functions we have:
Rewriting we have:
5x+4+6x-9=
11x-5
B. (mn)(x)=
(5x+4)(6x-9)=
30x^2+24x-45x-36=
30x^2-21x-36
C. basically sub n(x) for x in m(x)
m(n(x))=
5(6x-9)+4=
30x-45+4=
30x-41
Answers
Answer:
1
Step-by-step explanation:
First play=9
Second play=5
Third pla=7
Fourth play=4
9-5-7+4
=1
Answers
3.7cm : 1850km
1cm : 1850/3.7 km
1cm : 500km
Scale statement for map is : 1cm : 500km.
That is 1cm on map represents 500km.
1cm : 500km. Recall 1km = 1000m = 100 000cm
1cm : 500* 100000cm
1cm : 50 000 000cm
1: 50 000 000.
Scale factor is 50 000 000.
Final answer:
The scale of the map is 1 cm : 500 km, meaning 1 cm on the map corresponds to an actual distance of 500 km on the ground. This is the scale factor used to create the map.
Explanation:
The scale of a map is a ratio that represents the relationship between the distance on the map and the actual distance on the ground. In this case, the actual distance between Vancouver and Winnipeg is 1850 km, while the distance on the map is 3.7 cm. Therefore, the scale of the map can be represented as 1 cm : 500 km (because 1850 km / 3.7 cm = approximately 500 km).
This means that 1 cm on the map represents an actual distance of 500 km on the ground, which is the scale factor used to create the map. Therefore, the scale statement for the map would be "1 cm on the map represents 500 km on the ground" or it can be written shorthand as 1:50,000,000 (considering 1 km = 1,000,000 cm).
Learn more about Map Scale here:
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