Answer
Find out the what is the salesman's commission as a percent of his total monthly sales.
To prove
Formula
[tex]Percentage = \frac{Part\ value\times100}{Total\ value}[/tex]
As given
A furniture store salesman had $15,200 in total monthly sales last month.
He made $912 in commission from those sales.
Here
Part value = $912
Total value = $15,200
put in the formula
[tex]Percentage = \frac{912\times 100}{15200}[/tex]
solve the above equation
[tex]Percentage = \frac{91200}{15200}[/tex]
Percenatge = 6 %
Therefore the salesman's commission is 6% of his total monthly sales .
Ed is on a road trip. He has already traveled 214 miles and is driving at a rate of 66 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 640 total miles? 214x + 66 = 640 214x + 640 = 66 66x + 214 = 640 66x + 640 = 214
Answer:
4th
Step-by-step explanation:
307 rounded to the nearest ten and hundred
what is 8v+w+7-8v+2w simplified
The length of the hypotenuse of a right triangle is 157 units. The length of one leg of the triangle is 132. Lara wrote the following step to find the length of the unknown leg: Length of the unknown leg = 1572 − 1322 = 24,649 − 17,424 = 7,225 units Which statement best explains whether Lara's step is correct or incorrect?
Answer:
Lauras step is correct, she rearranged the formula making it :
b^2 = c^2 - a^2
Step-by-step explanation:
Drinks: 57 drinks for $2 each Pizza: 26 slices for $2 each Candy: 55 candy bars for $1 each Peanuts: 31 bags of peanuts for $1 each Michael is totaling the concession stand sales after a high school football game. He uses the expression shown to compute the total sales: 2(57 + 26) + 1(55 + 31) He is using the _________ property. A) commutative B) distributive C) reflexive D) transitive
He is using the distributive property option (B) distributive is correct if 57 drinks for $2 each Pizza: 26 slices for $2 for each Candy.
What is distributive property?
The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example, we can write a(c+b) in the form of (ac+bc).
It is given that:
Drinks: 57 drinks for $2 each Pizza: 26 slices for $2 each Candy: 55 candy bars for $1 each Peanuts
2(57 + 26) + 1(55 + 31)
a(b + c) = ab + ac
Thus, he is using the distributive property option (B) distributive is correct if 57 drinks for $2 each Pizza: 26 slices for $2 for each Candy.
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which is shorter 3/6 of a minute or 4/6 of an hour
From the question itself, it might be clear that because a minute is so much shorter than an hour (a minute is only 1/60th of an hour, because there are 60 minutes in each hour), 3/6 of a minute will be shorter than 4/6 of an hour.
But, if you wanted to calculate this the long way, you can.
To compare these two you can convert them to a unit of time that they have in common - for example, minutes.
In the first fraction, you can reduce 3/6 down to 1/2 - you probably already know that 1/2 is the same as half a minute.
Then you can multiply fractions to find out how many minutes are in 4/6 of an hour.
4/6 can also be reduced down to 2/3. You also know that there are 60 minutes in an hour.
(2/3 / 1 hr) x (1 hr/60 min) = (2/3) x 60 = 120/3 = 40 min
40 min is of course bigger than half a minute! So 3/6 of a minute is shorter.
Slope 4.2;y-intercept(0,3.4)
The equation of a line with a slope of 4.2 and a y-intercept of (0, 3.4) is y = 4.2x + 3.4.
Explanation:Given the slope, which is 4.2, and the y-intercept of (0, 3.4), we can write the equation of the line in slope-intercept form (y = mx + b). Here, 'm' is the slope and 'b' is the y-intercept. So the equation becomes y = 4.2x + 3.4. This is the equation that describes a line with a slope of 4.2 and y-intercept of 3.4.
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Find two estimates for 4,396 divided by 4 by rounding the dividend to the nearest hundred and also to the nearest thousand. Compare the estimates.
Answer:
The estimates are 1100 and 1000. Comparing both value you will realize the first estimate is the nearest hundred while the second estimate is the nearest thousand.
Step-by-step explanation:
The dividend of the expression 4,396 divided by 4 is 4396. The question enunciated we round up the dividend to the nearest hundred and thousand before estimating the expression.
4396 to the nearest hundred is 4400. The nearest hundred of 396 is 400.
4396 to the nearest thousand is 4000.
Now, let's do the estimate
4400/4 and 4000/4
1100 and 1000.
The estimates are 1100 and 1000. Comparing both value you will realize the first estimate is the nearest hundred while the second estimate is the nearest thousand.
The truck driver drove 120 miles in 1 3/4 hours. what is the speed of the truck in miles per hour?
Which is the most reasonable estimate for 23.63 \ 6
error analysis describe and correct the error in writing the word sentence as an inequality. help please
The 50th term of 4,7,10,13,16
Final answer:
The 50th term of the arithmetic sequence is found by using the formula for the nth term of an arithmetic sequence. The 50th term is 151, considering the common difference of 3 between consecutive terms in the sequence.
Explanation:
To find the 50th term of the given arithmetic sequence 4, 7, 10, 13, 16, we first need to determine the common difference (d). The sequence increases by 3 with each term, so the common difference is 3.
The nth term of an arithmetic sequence can be found using the formula a_n = a_1 + (n-1)d, where a_1 is the first term and n is the term number. Plugging in the values for the 50th term:
a_1 = 4 (first term)
d = 3 (common difference)
n = 50 (term number)
Now, compute the 50th term:
a_50 = 4 + (50-1)×3
a_50 = 4 + 49×3
a_50 = 4 + 147
a_50 = 151
Therefore, the 50th term of this arithmetic sequence is 151.
Nicholas bought 5 pens for $3 at this rate how much will he spend on 8 pens
there are a total of 12 slices of pizza each Pizza is cut into 4 slices how many pieces are there
Answer:
there would be, 3 slices. your welcome.
Step-by-step explanation:
Sara purchase a skirt for $15.99 and two shirts for $12.50 each. The sales tax in her town is 7.5%. What was the total cost of Sara's purchase in dollars including sales tax? Round to the nearest penny.
Jonathan can jog 3 2/5 miles in 7/8 hour. Find his average speed in miles per hour.
a crystal that is 0.12 millimeters long appears to be 60 millimeters long under a microscope what is the power of the microscope
What does a variable mean in an addition expression
y=2x - 2 what does it equel
7910 divided by 14. Use a table
Dividing 7910 by 14 requires long division as typical division tables do not provide a reciprocal for 14. By performing the long division manually, we would get the quotient step by step, which allows us to estimate a reciprocal-like number for 14.
Explanation:The process of dividing 7910 by 14 involves determining how many times the divisor, which is 14 in this case, can be fitted into the dividend, 7910. To make use of division tables such as those mentioned, think of the process in terms of removing the decimal point and focusing on the significant digits that come into play.
Using a table similar to Table A.1, we would begin by looking for the closest number to 14 and noting its reciprocal. For instance, if we have 1.5 with a reciprocal of 6.67 in the table, it is implied that dividing by 1.5 is similar to multiplying by 6.67. Therefore, dividing by 14 would involve finding the entry that closely represents its reciprocal value.
However, none of the provided tables show a direct reciprocal for 14 which means we might have to perform the division traditionally. As guidance, knowing that the reciprocal of 2.5 starts with a 4 lets us infer that the reciprocal of 14 would start with a value less than 0.25, since 14 is more than 5 times larger than 2.5.
In conventional long division, we would set up the problem as 7910 divided by 14 and proceed step by step, subtracting multiples of 14 from portions of 7910 until the whole number is exhausted, and noting the quotient each time. The quotient we get at each step would allow us to find a reciprocal-like number for 14, and thus help us approach the problem in a table-driven manner.
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Final answer:
To divide 7910 by 14, you set up a long division table and go through the steps of dividing, multiplying, and subtracting until you reach a quotient of 564 with no remainder.
Explanation:
To divide 7910 by 14, we can use long division. Here's how we can set up our table to solve this division problem:
Step 1: Place 7910 inside the table and 14 outside, as you would in a standard long division problem.
Step 2: Determine how many times 14 goes into 79. This is 5 times because 5 x 14 = 70.
Step 3: Write down the 5 above the division table, subtract 70 from 79 to get 9, and bring down the next digit (which is 1) from 7910 to make the number 91.
Step 4: Now determine how many times 14 goes into 91. This would be 6 times because 6 x 14 = 84.
Step 5: Write down the 6 on top of the table next to the 5, subtract 84 from 91 to get 7, and bring down the next digit (which is 0) to make the number 70.
Step 6: Finally, see how many times 14 goes into 70, which is 5 times because 5 x 14 = 70.
Step 7: Write down 5 on top of the table next to 6. Now we have the quotient of 7910 divided by 14 as 564 with no remainder.
The formula C=5/9 (F-32) can be used to convert a temperature from degress Fahrenheit to degress Celsius.
The formula C=5/9 (F-32) converts degrees Fahrenheit to degrees Celsius. A 40.0°F decrease in Fahrenheit is equivalent to a 22.2°C decrease in Celsius. The Celsius scale is also known as 'centigrade' due to the 100-degree interval between the freezing and boiling points of water.
Explanation:The formula C=5/9 (F-32) is used to convert temperatures from degrees Fahrenheit (F) to degrees Celsius (C). To demonstrate a temperature conversion with a 40.0°F decrease, if the original temperature is T°F, the new temperature in Fahrenheit after the decrease would be (T-40)°F. The corresponding decrease in Celsius is (5/9) × 40°C, as each Fahrenheit degree is equivalent to 5/9 of a Celsius degree. To show this in a formula: ∆C = 5/9 (∆F).
On a warm day with a temperature of 88°F, the conversion to Celsius is computed as follows: T°C = 5/9 × (88°F - 32) = 5/9 × 56 = 311.1°C after rounding to the nearest tenth. The Celsius scale is sometimes referred to as centigrade because it is based on 100, from the Latin centum meaning 'hundred', referring to the 100-degree interval between the freezing and boiling points of water.
An example of converting Fahrenheit to Celsius and Kelvin is the case of a student with a temperature of 103.5°F. Using the conversion formula, the Celsius temperature would be C = 5/9 × (103.5°F - 32) = 39.7°C, and the Kelvin temperature would be K = 39.7°C + 273.15 = 312.85 K.
Each month Bailey deposits money in her savings account.Over 8 months ,she has added $48.If Bailey deposited the same amount every month,how much is one deposit?
Pedro fills a glass 2/4 full with orange juice. Write a fraction with a denominator of 6 that is grater then 2/4
Answer:
Amount of Juice in Pedro glass is [tex]\frac{2}{4}[/tex]
As, [tex]\frac{2}{4}=\frac{1}{2}[/tex]
Now, we want fraction which is greater than [tex]\frac{2}{4}[/tex], but denominator of 6.
So ,the fraction having denominator 6 are,
[tex]\frac{1}{6},\frac{2}{6},[\frac{3}{6}=\frac{1}{2}],\frac{4}{6},\frac{5}{6},\frac{6}{6}[/tex]
The required fractions are
[tex]\frac{4}{6} ,\frac{5}{6},\frac{6}{6}[/tex]
A soup can has a height of 4.5 inches and a diameter of 3.25 inches. Which of the following is the closest to the volume of the soup can? A. 149 cubic inches B. 23 cubic inches C. 52 cubic inches D. 37 cubic inches
Liang went to the bookstore. he spent 1/3 of his ,oney on a pen and 4/7 of it on books. what fraction of his money did he have left?
At an airport,there are a total of 1,160 seats in the waiting areas. There are 8 separate, same size, waiting areas. How many seats are in each waiting area
Final answer:
To find out how many seats are in each waiting area, divide the total number of seats by the number of waiting areas. In this case, there are 1,160 seats and 8 waiting areas. So, the number of seats in each waiting area is 145.
Explanation:
To find out how many seats are in each waiting area, you need to divide the total number of seats by the number of waiting areas. In this case, there are 1,160 seats and 8 waiting areas.
So, to find the number of seats in each waiting area, divide 1,160 by 8.
1,160 ÷ 8 = 145
Therefore, there are 145 seats in each waiting area.
lisa evaluated the expressions 2x and x^2 for x=2 and found that both epressions were equal to 4. lisa concluded that 2x and x^2 are equivalent expressions. How could you show lisa that she is incorrect?
190 points
Answer:
Choose another number.
Step-by-step explanation
We could take x=3 and evaluate, for the first expression we would have
[tex]2x=2\cdot3=6[/tex]
and for the secod expression we would have
[tex]x^2=3^2=9[/tex]
For this choosen x, we would have
[tex]2x=6\neq9=x^2[/tex]
which would show lisa that she is incorrect.
What is 4.973 written in expanded form
Which formula is used to find the volume of a pyramid? A) Area of its base · height. B) 1 2 (Area of its base · height) C) 1 3 (Area of its base · height) D) 3·(Area of its base · height)
The table shows the amount of money LaTasha charges customers to mow their lawns. The table represents a linear function.
Time (h) : 0, 1/2, 1, 1 1/2, 2
Cost ($) : 10, 14, 18, 22, 26
What does the initial value mean for this function?
A) LaTasha earns $18 for 1 hour of work.
B) LaTasha charges $10 before she begins mowing.
C) LaTasha does not charge her customers unless she has mowed for at least a half hour.
D) LaTasha charges $8.00 an hour to mow lawns.
Answer:
B) LaTasha charges $10 before she begins mowing.
Step-by-step explanation:
Latasha charges $10 before she begins mowing. From the linear function if you compare the relationship between time(hours) and cost($), you will notice that LaTasha charges $4 for 1/2 hour of mowing.
The first value shows LaTasha charges $10 before mowing. The hour value was 0 but yet her cost was $10 . The second value for time was 1/2 hour and the initial cost of $10 was added to the actual half hour she worked which is $4. After adding her initial cost of $10 , adding $4 dollar for every 1/2 hour gives your her cost in dollar. Example $10 + $4 = $ 14 , The next one she worked 1 hour which is $8 + 10 = $18 and so on
The time value increases by half hour and the cost increases by $4 . You can conclude that LaTasha charges $4 for every 1/2 hour she mow.