Answer
[tex]Lola=\frac{203}{537}[/tex]
[tex]Ahmed=\frac{154}{537}[/tex]
[tex]Tommy=\frac{60}{179}[/tex]
Explanation
To find fraction of the total sales for each salesperson, we just need to divide the amount sold by each person by the total sales.
First, we are going to find the total sales:
$2030 + $1540 + $1800 = $5370
Now we can divide the amount sold by each salesperson by $5370:
[tex]Lola=\frac{2030}{5370} =\frac{203}{537}[/tex]
[tex]Ahmed =\frac{1540}{5370} =\frac{154}{537}[/tex]
[tex]Tommy=\frac{1800}{5370} =\frac{60}{179}[/tex]
We can conclude that Lola sold [tex]\frac{203}{537}[/tex] of the total sales, Ahmed sold [tex]\frac{154}{537}[/tex] of the total sales, and Tommy sold [tex]\frac{60}{179}[/tex] of the total sales.
2.Answer
Lola = $37.80
Ahmed = $28.68
Tommy = $33.52
Explanation
We need to divide $100 bonus according of the fraction of the total sales sold by each salesperson; to do so, we need to multiply $100 by the fraction of the total sales for each salesperson:
[tex]Lola=\frac{203}{537}*100=37.8026[/tex]
And rounded to the nearest cent:
Lola = $37.80
[tex]Ahmed=\frac{154}{537}*100=28.6778[/tex]
And rounded to the nearest cent:
Ahmed = $28.68
[tex]Tommy=\frac{60}{179}*100=33.5195[/tex]
And rounded to the nearest cent:
Tommy = $33.52
We can conclude that of the $100 bones, Lola received $37.80, Ahmed $28.68, and Tommy $33.52
a railroad car container can hold 42,000 pounds. Mr.Evans wants to ship 90 ovens and some freezers in the same container. If each freezer weighs 600 pounds, how many freezers can be shipped in the container? Explain
Mr. Evans can ship approximately 70 freezers in the container.
To determine how many freezers can be shipped in the container, we first need to calculate the total weight of the ovens and then subtract it from the maximum weight the container can hold.
Given:
- Maximum weight the container can hold = 42,000 pounds
- Number of ovens = 90
- Weight of each freezer = 600 pounds
First, we need to calculate the total weight of the ovens:
Total weight of ovens = Number of ovens × Weight of each oven
Total weight of ovens = 90 ovens × 0 pounds = 0 pounds
Now, we subtract the total weight of the ovens from the maximum weight the container can hold to find the remaining weight for the freezers:
Remaining weight for freezers = Maximum weight of container - Total weight of ovens
Remaining weight for freezers = 42,000 pounds - 0 pounds
Remaining weight for freezers = 42,000 pounds
Now, we need to find out how many freezers can be shipped in the container. Since each freezer weighs 600 pounds, we divide the remaining weight for freezers by the weight of each freezer:
Number of freezers = Remaining weight for freezers / Weight of each freezer
Number of freezers = 42,000 pounds / 600 pounds
Number of freezers ≈ 70
So, Mr. Evans can ship approximately 70 freezers in the container.
What is the equation in point slope form of a line that passes through the point (–8, 2) and has a slope of 1/2? Drag a number, symbol, or variable to each box to write a point-slope equation for this line.
use doubles to help yo add 7+8
Answer:
15
Step-by-step explanation:
The ratio of brown to blue eyes in a group of students is 1 to 3. What ratio of students could this represent?
1.
5 brown: 7 blue
2.
3 brown: 9 blue
3.
4 brown: 8 blue
4.
3 brown: 12 blue
the botton of Zeydas jewelry box is a rectangle with length 5 3/8 inches and width 3 1/4 inches.What is the area of the bottom of the jewelry box?
In physical education class, Sonia walks a distance of 0.12 mile in 1 minute. At that rate, how far can she walk in 9 minutes?
Albert hikes for 0.35 mile. Use a number line to write 0.35 as a fraction. Then find an equivalent fraction.
Both parts A and b have three digits multipliers. Why are there three partial products in part a and only two partial products in part b
The number of partial products in multiplication is determined by the number of digits in the multiplier.
Explanation:In multiplication, the number of partial products is determined by the number of digits in the multiplier. In part a, there are three digits in the multiplier, so there are three partial products. Each partial product represents the product of a digit in the multiplier and the multiplicand. In part b, there are only two digits in the multiplier, so there are only two partial products.
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You answered 21 out of 25 questions correctly on a test. Did you reach your goal of getting at least 80%?
a submarine sandwich 1.5 feet long is cut into 0.25- foot pieces will. how many pieces will there be?
what are six diffrent two digit numbers that have mean of 20
The distance traveled by a car at a constant rate is proportional to the time spent driving. In the equation d = 45t, d represents the distance (in miles) and t represents the time (in hours).
A. What is the constant of proportionality? _____ miles per hour
B. How far will a car travel in 3 hours? _______ miles
Answer: A. 45 miles per hour
B. 135 miles
Step-by-step explanation:
Given: The distance traveled by a car at a constant rate is proportional to the time spent driving.
In the equation [tex]d=45t[/tex], d represents the distance (in miles) and t represents the time (in hours).
[tex]\Rightarrow\frac{d}{t}=45\text{ miles per hour}[/tex]
⇒ The constant of proportionality=45 miles per hour.
Also, the distance traveled by car in 1 hour=45 miles
⇒ The distance traveled by car in 3 hours=[tex]3\times45=135\text{ miles}[/tex]
∴ A car will travel 135 hours in 3 hours.
Lilly estimated a quotient of 120 and found an actual quotient of 83 explain.
at the start of his diet kerrin weighed 13 stone 9 pounds. three months later he weighed 12 stone 7 pounds. there are 14 pounds in a stone. calculate the reduction in kerrin's weight as a percentage of his initial weight
To find the reduction in Kerrin's weight as a percentage of his initial weight, we convert the weights to pounds, find the weight difference, then this difference is divided by the initial weight and multiplied by 100. Kerrin lost about 7.41% of his initial weight.
Explanation:To calculate the reduction in Kerrin's weight as a percentage of his initial weight, we first need to convert the weights from stones and pounds into just pounds. At the start of the diet, Kerrin weighed 13 stone 9 pounds. As there are 14 pounds in a stone, this equates to (13 x 14) + 9 = 189 pounds. Three months later, he weighed 12 stone 7 pounds which equates to (12 x 14) + 7 = 175 pounds.
The total amount of weight lost is then calculated by subtracting his later weight from his starting weight which gives us 189 - 175 = 14 pounds. The change in weight as a percentage of the initial weight can then be calculated by dividing the weight difference by the initial weight, then multiply the result by 100 to give the percentage. The resulting calculation is (14 / 189) x 100 = 7.407407407407407 which is approximately 7.41%. Therefore, Kerrin lost about 7.41% of his initial weight after three months on the diet.
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Which expression has a value that is less than the base of that expression?
(In this picture it is a screenshot, so look at question number 1, ok?)
The answer is B. Hope this helped
The price of a pair of shoes is marked down 33%. The original price was $59.85. What is the sales price of the shoes?
$16.85
$19.75
$40.10
$45.00
a store sells 12 cans if nuts for 18$. how much would it cost you to buy 7 cans of nuts
A car can travel 275 miles in 5 hours. Find the average speed in miler per hour.(please show steps!)
If my movie starts at 6:40 and it's a 1 hour and 53 what time will it end
I need to know how to change you fraction such as 6 5/12 to a decimal. Explanations Please on how to do it! (Step by Step please)
Tiffany bought 2/5 kg of cherries. linda bought 1/10 kg of cherries less than Tiffany. how many kilograms of cherries did they buy all together
⁷/₁₀ kg
Further explanationGiven:
Tiffany bought [tex]\frac{2}{5} \ kg[/tex] of cherries. Linda bought [tex]\frac{1}{10} \ kg[/tex] of cherries less than Tiffany.Question:
How many kilograms of cherries did they buy altogether?
The Process:
Since Linda bought [tex]\frac{1}{10} \ kg[/tex] of cherries less than Tiffany, we subtract [tex]\frac{1}{10} \ kg[/tex] from the [tex]\frac{2}{5} \ kg[/tex] of cherries Tiffany bought.
The least common multiple (LCM) of 5 and 10 is 10.
[tex]\boxed{ \ \frac{2}{5} - \frac{1}{10} = ? \ }[/tex]
[tex]\boxed{ \ = \bigg( \frac{2 \times 2}{5 \times 2} \bigg) - \frac{1}{10} \ }[/tex]
[tex]\boxed{ \ = \bigg( \frac{4}{10} \bigg) - \frac{1}{10} \ }[/tex]
[tex]\boxed{ \ = \bigg( \frac{3}{10} \ }[/tex]
Therefore, Linda bought [tex]\frac{3}{10} \ kg[/tex] of cherries.
Let us find out how many kilograms of cherries did they buy altogether.
[tex]\boxed{ \ Tiffany's cherries + Linda's cherries =? \ }[/tex]
[tex]\boxed{ \ \frac{2}{5} + \frac{3}{10} = ? \ }[/tex]
[tex]\boxed{ \ = \bigg( \frac{2 \times 2}{5 \times 2} \bigg) + \frac{3}{10} \ }[/tex]
[tex]\boxed{ \ = \bigg( \frac{4}{10} \bigg) + \frac{3}{10} \ }[/tex]
[tex]\boxed{\boxed{ \ = \bigg( \frac{7}{10} \ }}[/tex]
Thus, they bought [tex]\frac{7}{10} \ kg[/tex] of cherries altogether.
- - - - - - - - -
Using Diagram
[tex]\boxed{Tiffany's cherries: \frac{2}{5} = \frac{4}{10}}[/tex]
[tex]Tiffany's cherries: \boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}[/tex] or 4 of 10 units.
[tex]\boxed{Linda's cherries = \frac{1}{10}}[/tex] less than Tiffany's, so we subtract 1 from 4 units of Tiffany's, that is [tex]\boxed{\circ}\boxed{\circ}\boxed{\circ}[/tex]
[tex]\boxed{ \ Tiffany's cherries + Linda's cherries =? \ }[/tex]
[tex]\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ} + \boxed{\circ}\boxed{\circ}\boxed{\circ} = \boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}[/tex]
Thus, the number of the two diagrams is 7 out of 10 units or [tex]\frac{7}{10} \ kg[/tex] of cherries.
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48 is 30% of what number
The number 48 is 30 percent of the number 160.
We have to find 30% of what number is 48.
let the unknown number be x.
so, we can set up the equation as
30% of x= 48
30/100 x = 48
30x = 4800
Divide both side by 30
30x/30= 4800/ 30
Now, simplify
x= 120
Thus, 48 is 30% of 160.
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fin de factors prime or compositive83?
Which equation can be used to verify that 99 ÷ 11 = 9
Answer:
c)9x11=99
Step-by-step explanation:
What is 7594464 times 4?
Jerome has 1/4 of the groups video games at his house. Mario has 2/5 of the groups video games at his house. What fraction of the group's viedo games are at either at Jerome's or Mario's house?EXPLAIN
Answer:
13/20
Step-by-step explanation:
1
4
+
2
5
=
1 × 5
4 × 5
+
2 × 4
5 × 4
=
5
20
+
8
20
=
5 + 8
20
=
13
20
hope this helps
what is 2/3 divided by 1/2
can you use distributive property for 567÷9
the price p of an icecream is $3.95 plus $0.85 for each topping t on the ice cream
what do I do to start this problem.
for #4