Answer:
5%
Step-by-step explanation:
150,000/100=1500 7500/1500=5
The commission rate of the real estate agent for the home sale is calculated by dividing the commission amount by the total sale price and then converting this into percent. Following these steps, the commission rate was 5%.
Explanation:The subject of this question falls under Mathematics, specifically the topic of percentages. To find the commission rate of the real estate agent, you need to divide the commission ($7500) by the total sale price ($150,000) and then multiply by 100 to convert it to percent.
Following these steps:
Divide the commission by the total sale price: 7500 / 150000 = 0.05. Convert this to percent by multiplying by 100: 0.05 * 100 = 5.
So the real estate agent's commission rate was 5%
.
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If a(x) and b(x) are linear functions with one variable, which if the following expressions produced a quadratic function?
[tex]ax^2+bx+c[/tex] Is the answer because it has no other side like [tex]ax^2+bx+c=12[/tex]
81 x 1/9 =
How do you solve this^^^^
First multiply then divide
81÷9
=9
What you do is you make 81 into 81/1 then multiply it by 1/9. you get 81/9 which as a whole number is 9.
7 times as many as 3,073
Calculate the principal from the given interest, rate, and time.
I = $256, r = 8%, t = 1 year
A) $20.48
B) $32
C) $320
D) $3200
__________A) $20.48______
One minute after takeoff, an airplane’s altitude was 4,000 feet. Three minutes later, it was 20,000 feet. What was the plane’s average altitude change, in feet per minute, during those three minutes?
The average altitude change per minute would be around 5,300 feet per minute.
Find the 15th term in the Arithmetic Sequence An = 3n-7
Question 1 options:
7
38
-2
Find the 10th term in the Arithmetic Sequence -2, -5, -8, -11
Question 2 options:
-10
-29
-21
Looking at the figure below, find the 6th term for this pattern:
Question 3 options:
4x - 3
x + 9
x - 4
Given a term in a geometric sequence and the common ratio find the first five terms and the formula representing the nth term. A1 = 4, r = 5
Question 4 options:
First Five Terms: 4, 9, 13, 18, 23;
an=5*4n−1;a1=4
First Five Terms: 4, 20, 100, 500, 2500;
an=4*5n−1;a1=4
First Five Terms: 20, 25, 30, 35, 40;
an=4*5n−1;a1=4
You visit the Grand Canyon and drop a penny off the edge of a cliff. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence. How far from the cliff will the penny be at 6 seconds after it is initially dropped?
Question 5 options:
128
150
176
After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day. How many weeks will it be before you are up to jogging 60 minutes per day?
Question 6 options:
n = 9
n = 12
n = 60
The answer to this question is on my profile
Answer:
Hello, I was wondering can someone help me with those questions to? I could really use the help! thank you.
Step-by-step explanation:
what is the maximum value of 5x+2y in the feasible region
The relationship between women’s whole-number shoe sizes and foot length forms an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of n. A women’s size 3 fits a foot 8 inches long and women’s size 7 fits a foot 91 3 inches long. What is the common difference of the arithmetic sequence?
Answer:
part 1- 1/3
part 2- a.n = 22/3+(n-1)1/3
part 3- size 12
Step-by-step explanation:
The common difference of the arithmetic sequence is 0.5 inches.
To find the common difference of the arithmetic sequence, we can use the given information about the shoe sizes and corresponding foot lengths.
Let's denote the common difference by [tex]\( d \)[/tex]. In an arithmetic sequence, the[tex]\( n \)-th[/tex] term is given by [tex]\( a_n = a_1 + (n - 1)d \)[/tex], where [tex]\( a_1 \)[/tex] is the first term.
Given that a women's size 3 fits a foot 8 inches long, we can consider this as the first term of the arithmetic sequence:
[tex]\[ a_1 = 8 \][/tex]
We are also given that a women's size 7 fits a foot[tex]\( 9\frac{1}{3} \)[/tex] inches long. Since this corresponds to the 5th term in the sequence (because [tex]\( 7 - 3 = 4 \)[/tex] and we start counting from 0), we can write:
[tex]\[ a_5 = a_1 + 4d \][/tex]
[tex]\[ a_5 = 8 + 4d \][/tex]
We know[tex]\( a_5 = 9\frac{1}{3} \),[/tex]which is [tex]\( 9 + \frac{1}{3} \) or \( \frac{28}{3} \)[/tex] inches. Now we can set up the equation:
[tex]\[ 8 + 4d = \frac{28}{3} \][/tex]
To solve for [tex]\( d \)[/tex], we first convert[tex]\( \frac{28}{3} \)[/tex] to a decimal or a fraction with a denominator of 1 to match the units of the other terms:
[tex]\[ 8 + 4d = \frac{28}{3} \times \frac{1}{1} \][/tex]
[tex]\[ 8 + 4d = \frac{28}{3} \][/tex]
[tex]\[ 8 + 4d = 9\frac{1}{3} \][/tex]
[tex]\[ 8 + 4d = 9.333... \][/tex]
Now, we solve for[tex]\( d \)[/tex]:
[tex]\[ 4d = 9.333... - 8 \][/tex]
[tex]\[ 4d = 1.333... \][/tex]
[tex]\[ d = \frac{1.333...}{4} \][/tex]
[tex]\[ d = 0.333... \][/tex]
However, we need to express[tex]\( d \)[/tex] in inches, and since [tex]\( \frac{1}{3} \)[/tex] of an inch is [tex]\( 0.333... \)[/tex]inches, we convert it to a fraction that has a denominator of 2 to match the format of the options given:
[tex]\[ d = \frac{1}{3} \times \frac{2}{2} \][/tex]
[tex]\[ d = \frac{2}{6} \][/tex]
[tex]\[ d = \frac{1}{3} \][/tex]
[tex]\[ d = 0.5 \][/tex]
Therefore, the common difference of the arithmetic sequence is[tex]\( 0.5 \)[/tex]inches."
The expression in the form 9n
Find the slope of the line that passes through points (9,8) and (4,-2).
You can find the slope of the two points with the following formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Substitute the corresponding values into the equation.
[tex]m=\frac{-2-8}{4-9}[/tex]
[tex]m=\frac{-10}{-5}[/tex]
[tex]m=2[/tex]
The slope of the line is 2.
a store advertises a sale as "get 30 percent off your highest priced item when you buy a 2 or more items ". Someone buys items with prices of $30 and $20. Find the percent of discount on the total purchase. Show work
.3 times 30= $9
20 plus 30 is $50 minus $9 which equals $41
the length of a rectangle is 5 less than twice its width. if the perimeter is 26 meters, find the dimensions of the rectangle
The width of the rectangle is 6 meters and the length is 7 meters.
Explanation:To solve this problem, let's assume that the width of the rectangle is represented by w. The length of the rectangle can be written as 2w - 5. The perimeter of a rectangle is given by the formula P = 2l + 2w, where P represents the perimeter, l represents the length, and w represents the width. We are given that the perimeter is 26 meters, so we can set up the equation:
26 = 2(2w - 5) + 2w
Simplifying this equation gives:
26 = 4w - 10 + 2w
Combining like terms:
26 = 6w - 10
Adding 10 to both sides:
36 = 6w
Dividing both sides by 6:
w = 6
Therefore, the width of the rectangle is 6 meters. To find the length, substitute the value of w back into the expression for the length:
l = 2w - 5
l = 2(6) - 5
l = 7
So the dimensions of the rectangle are width = 6 meters and length = 7 meters.
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The problem is solved by setting up an algebraic equation based on the given pointers about the rectangle's width, length, and perimeter. After solving it, we find that the rectangle's dimensions are: width=6 meters and length=7 meters.
Explanation:
This is a problem of algebra within the subject of Mathematics. The width and length of the rectangle are the unknowns we need to find.
Given in the problem, the length is '5 less than twice its width'. If we denote the width as 'x', the length can be expressed as '2x - 5'. The equation for the perimeter of a rectangle is '2(length + width)', which equals 26 in this case. So we can set up our equation as follows: 2(x + 2x - 5) = 26.Solving this equation step-by-step:
Firstly, unfold the parentheses - 2x + 4x - 10 = 26, Then combine like terms to simplify it into 6x - 10 = 26. Add 10 to both sides of the equation to isolate the term with 'x', which results in 6x = 36. Finally, divide by 6 on both sides to find the value of 'x', so x=6. Substituting x=6 into the expression for the length, we find the length to be 2*6 - 5 = 7.Therefore, the dimensions of the rectangle are width=6 meters and length=7 meters.
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Enter the missing numbers in the boxes to complete the table of equivalent ratios. Number of Servings Liters of Punch 8 2 4 20 7
8 2
? 4
20 ?
? 7
Answer:
8 l 2
16 l 4
20 l 5
28 l 7
Step-by-step explanation:
Half of the liters of punch is 4 so just add 4 to each answer you get but if you get mixed up with numbers start from the begining like 2+2
✧ω✧
To complete the table of equivalent ratios, we need to calculate the missing values based on the given ratios of servings and liters of punch. The ratio between servings and liters is 4:1, so we can use that to find the missing values. For 4 servings, there will be 1 liter of punch, and for 20 servings, there will be 5 liters of punch.
Explanation:To complete the table of equivalent ratios, we need to find the missing values. Let's fill in the missing numbers based on the given ratios:
Number of Servings:
8??20Liters of Punch:
24??From the given values, we can see that the ratio between the number of servings and liters of punch is the same. So, to find the missing values, we need to find a common ratio. Let's calculate:
8 servings / 2 liters = 4 servings / 1 liter
This means that for every 4 servings, there is 1 liter of punch. Based on this ratio, we can find the missing values:
For 4 servings, there will be 1 liter of punch.
For 20 servings, there will be 5 liters of punch.
the morning shift at the point grocery store is 6.5 hours long if the cashiers make 10.25 per hour how much do they make each shift
Answer:66.63 is the answer
Step-by-step explanation:
Joe says that the product of a 4 digit number and a 1 digit number is always a 4 digit number does Joe's statement makes sense?
No, what Joe said isn't necessarily true. Though it is common that the product will be a 4 digit number, because you can use any number, like a large 4 digit number like 9999 or a large 1 digit number like 9, that isn't true. For instance: "9999 x 9" is 89991 which is 5 digits instead of 4 because "9999" is the biggest 4 digit number and "9" is the biggest "1" digit number.
What is |6|-7?
What is |6-7|?
Please answer quickly!
its is -1. Even though the 6 is an absolute value. |6| is just 6-7
A candy store sells mints in 1/4, 1/2 , and 3/4 lb packages. John purchases several packages of each weight.
What is the total weight of each purchase?
Enter a whole number or a mixed number in simplest form to correctly complete the sentence.
6 packages of the 1/4 lb package weigh ___ lb.
8 packages of the 1/2 lb package weigh ___ lb.
7 packages of the 3/4 lb package weigh ___ lb.
For this problem, just multiply the fractions by the amount of packages purchased.
6 * 1/4 = 1 1/2
8 * 1/2 = 4
7 * 3/4 = 5 1/4
Please help me :(( 35 POINTS!!!
What is the solution to the inequality? Show work!
-2/3 (2x - 1/2)<= 1/5x - 1
Eva Maria borrowed money from her father and agreed to pay him 4% simple annual interest. At the end of 7 years, Eva Maria owes $1736 in interest. What amount did Eva Maria borrow from her father?
She had borrowed $248 from her father
Answer:
Step-by-step explanation:
write an expression you can use to convert 2.5 gallons to quarts
To convert 2.5 gallons to quarts, multiply by 4 (quarts/gallon).
Explanation:To convert 2.5 gallons to quarts, you can use the fact that there are 4 quarts in 1 gallon. So, multiplying 2.5 gallons by 4 quarts per gallon gives you the answer:
2.5 gallons * 4 quarts/gallon = 10 quarts
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In one season, the top four players on one major league team had batting averages of 0.332, 0.361, 0.343, and 0.368. Which is the highest average?
the highest average is 0.368
Answer:
0.368 is the highest average.
Step-by-step explanation:
We have been given the batting averages of the 4 top players on one major league team as 0.332, 0.361, 0.343, and 0.368. We are asked to choose the highest average from given choices.
Let us represent our given averages as fractions as:
[tex]\frac{332}{1000},\frac{361}{1000},\frac{343}{1000},\frac{368}{1000}[/tex].
Now we can see that 1st player hit 332 in 1000 at bats, 2nd player hit 361 in 1000 at bats, 3rd player hit 343 in 1000 at bats and 4th player hit 368 in 1000 at bats.
Clearly, 368 is the greatest number of our given choices, therefore, the highest average is 0.368.
How to solve this equation 4(z + 5)=32
Answer:
Z=3
Step-by-step explanation:
divide both sides of the equation by 4
subtract 5 from both sides of the equation
4*(z + 5) = 32
4z + 20 = 32
4z = 32 - 20
4z = 12
z = 12 : 4
z = 3
Matthews bother has d dollars. Matthew has 5 more than twice the number of dollars his brother has. If Matthew has $35, how much does his brother have? I will give you 100 points!!
It should be 75 or 15?
The equation to this problem would be (2n+5=d)?
So since Mathew has twice the number of dollars his brother has, you would replace n with 35. 2*35=5=d which equals 70+5=75. But I don't really understand what the question is asking, so it could be 15 too.
How to work out 189,232÷8
The answer would be 23,654.
Use long divison to figure it out or a calcualtor.
How to solve the equation
Frst do the "()" and
3-2= 1
mulitply 2*1
divide 2/1
3-2
ANSWER 1
A race horse that wins three 3200 meter cup in a time of 200 seconds. what is the race horses Average speed?
Answer:
16 meter per second.
Step-by-step explanation:
A race horse that wins three 3200 meter cup in a time of 200 seconds.
Since in 200 seconds horse can run = 3200 meter
Therefore, in 1 second horse can run = [tex]\frac{3200}{200}[/tex]
= 16 meter/second
1 hour = 3600 seconds
Therefore in 1 hour horse can run = 3600 × 16
= 57,600 meter/hour
The average speed of the horse would be 16 meter per second or 57,600 meter per hour.
find three consecutive integers whose sum is -93
The three consecutive integers will be negative 30, negative 31, and negative 32.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Let the three consecutive integers will be (x - 1), x, and (x + 1).
Then the sum of three consecutive integers whose sum is -93. Then we have
x - 1 + x + x + 1 = - 93
3x = - 93
x = -31
Then the three consecutive integers will be negative 30, negative 31, and negative 32.
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the third grade at millbridge school has 179 students. if there are ten more 4th graders than 3rd graders, and thirty more 5th graders than 3rd graders. how many students are in 3rd, 4th, and 5th grade?
179 students in 3rd grade, 189 4th graders, and 209 5th graders. 577 students total!
Answer:
179 students in 3rd grade, 189 4th graders, and 209 5th graders.
Step-by-step explanation:
577 students total
Phillip bought apples from the grocery for $2.20 per pound. If he bought 2.5 pounds of apples on Monday and 1.2 pounds of apples on Tuesday, how much did he spend on apples in total?
Jimmy knows that to pass the fitness test he needs to be able to run 5 kilometers in 35 minutes. His pace monitor measures in miles. If he can run 3 miles in 35 minutes, will he pass his fitness test? Why or why not?
A) Yes, he will pass because he is running 5.2 km in 35 minutes.
B) Yes, he will pass because he is running 8.7 km in 35 minutes.
C) No, he will not pass because he is running 4.8 km in 35 minutes.
D) No, he will not pass because he is running 1.875 km in 35 minutes.
Jimmy, who can run 3 miles (roughly equivalent to 4.8 km) in 35 minutes, will not pass the fitness test as it requires running 5 kilometers in the same period.
Explanation:The question is asking if Jimmy can pass the fitness test of running 5 kilometers in 35 minutes if he can run 3 miles in the same amount of time. In order to answer this question, we need to convert miles to kilometers. One mile is approximately equal to 1.60934 kilometers. So if Jimmy runs 3 miles, that's equivalent to 3 * 1.60934 = 4.82802 kilometers.
Therefore, the correct answer is C) No, he will not pass because he is running 4.8 km in 35 minutes. Despite his good effort, Jimmy is running less than the required 5 kilometers in 35 minutes based on the fitness test standards.
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Jimmy will not pass his fitness test by running 3 miles in 35 minutes, as this converts to approximately 4.82802 kilometers, which is less than the required 5 kilometers. Option C) is the correct answer.
Jimmy needs to know if running 3 miles in 35 minutes will allow him to pass his fitness test, which requires him to run 5 kilometers in 35 minutes. To determine if he will pass, we need to convert miles to kilometers. Since 1 mile is approximately 1.60934 kilometers, we multiply 3 miles by this conversion factor:
3 miles imes 1.60934 km/mile = 4.82802 km
So, Jimmy runs approximately 4.82802 kilometers in 35 minutes. Comparing this to the fitness test requirement of 5 kilometers in 35 minutes:
4.82802 km < 5 km
Thus, Jimmy will not pass the fitness test based on his current pace, as he runs just under the required distance in the allotted time.
The answer to the question is: C) No, he will not pass because he is running 4.8 km in 35 minutes.