16. Over a four-week period, Gail earned the following commissions: Week 1 $250.00 Week 2 310.00 Week 3 275.00 Week 4 195.00 What was her average weekly commission for the period? A. $205.00 B. $240.00. C. $207.50 D. $257.50
Could someone please help me asap? Thanks in advance! :)
Answer:
A
Step-by-step explanation:
the standard form of a quadratic equation is
ax² + bx + c = 0 : a ≠ 0
obtain (5 + x)(5 - x) = 7 in this form by expanding the factors
25 - x ² = 7 ( subtract 7 from both sides )
18 - x² = 0 ( multiply through by - 1 )
x² - 18 = 0 ← in standard form
with a = 1, b= 0 and c = - 18 → A
How could you determine the number of feet per sec a squirrel can run
To determine the number of feet per second a squirrel can run, observe its speed and measure the distance it covers in a given time. Mark a short distance on the ground, start a timer as the squirrel begins running, stop the timer when the squirrel reaches the end, and divide the distance by the time to calculate the speed.
Explanation:To determine the number of feet per second a squirrel can run, you can observe its speed and measure the distance it covers in a given time. Here are the steps:
Mark a short distance on the ground, such as 10 feet.Start a timer as the squirrel begins running.Stop the timer when the squirrel reaches the end of the marked distance.Note the time it took for the squirrel to cover the distance.Divide the distance by the time to calculate the speed in feet per second.For example, if the squirrel covers 10 feet in 2 seconds, its speed would be 10/2 = 5 feet per second.
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the sales tax on a $30 purchase was $2.40
which property of equality can be used to justify this step?
Answer:
C. Addition Property of Equality
Step-by-step explanation:
Addition Property of Equality allows one to add the same quantity to both sides of an equation.
Answer:
Addition Property of Equality
Step-by-step explanation:
15-10x = 6x
We are adding 10x to each side, which we can do by the addition property of equality.
Addition Property of Equality
If a=b
then a+c = b+c
(30 Points) (Too lazy to work it out.) Determine the percent of change between 36 and 72. (Show your work please.)
Answer:
100%
Step-by-step explanation:
Use this equation:
percent of change=(New-Old)÷Old×100100=(72-36)÷36×100Answer:
CANT DO IT
Step-by-step explanation:
IM TOO LAZYER
What is the value of x?
Enter your answer in the box.
x= in.
Answer:
x=24
Step-by-step explanation:
We can use proportions to solve this problem
5 15
------ = -------------
8 x
Using cross products
5 * x = 8 *15
Divide by 5
5x/5 = 8*15/5
x = 8*3
x =24
Answer:
The answer is 24in.
Step-by-step explanation:
My explanation isn't very useful, I just looked at the image and say that 5in was 1/3 of 15in. therefore I multiplied 8in by 3 and got 24in.
I hope this helps!
Cheers, July!
How much money should be deposited today in an account that earns 5.5% compounded monthly so that it will accumulate to $12,000 in three years?
The amount of money that should be deposited is $
Answer:
MaybeIf you do 12,000 times 5.5 and didved by 100?
Step-by-step explanation:
[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill&12000\\ P=\textit{original amount deposited}\dotfill\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &3 \end{cases}[/tex]
[tex]\bf 12000=P\left(1+\frac{0.055}{12}\right)^{12\cdot 3}\implies 12000=P(1.00458\overline{3})^{36} \\\\\\ \cfrac{12000}{(1.00458\overline{3})^{36}}=P\implies 10178.56\approx P[/tex]
What is the sixth term in the geometric sequence described by this explicit formula? an=-5*(4)^(n-1)
Answer:
-5120
Step-by-step explanation:
Replace the n in the formula by 6.
a6 = -5(4)^(6-1)
= -5 * 4^5
= -5120
Answer:
[tex]a_{6}[/tex] = - 5120
Step-by-step explanation:
To obtain the sixth term substitute n = 6 into the formula
[tex]a_{6}[/tex] = - 5 × [tex]4^{5}[/tex] = - 5 × 1024 = - 5120
The sum of two numbers is 64 and the difference is 12 what are the numbers
This question can be solved by using simple algebra to set up equations based on the given conditions. We found that the two numbers are 38 and 26.
Explanation:To discover the two numbers, we will use a mathematical approach based on the problem. If we denote the larger number as 'x' and the smaller number as 'y', we have two equations based on the statement: 'x + y = 64' and 'x - y = 12'. You can solve this system of equations by adding these two equations together to eliminate 'y'. This operation will give you the result '2x = 76'. Upon dividing both sides of the equation by 2 you find that 'x = 38'. To find 'y', you subtract 38 from 64 based on the summation equation, yielding the result 'y = 26'. So, the two numbers are 38 and 26.
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The sum of the two numbers is 64, and the difference is 12. By setting up and solving a system of equations, we find that the two numbers are 38 and 26.
Explanation:To find the two numbers, let's set up a system of equations:
Let x be one of the numbers, and y be the other number.
We can write two equations based on the given information:
x + y = 64 (sum of two numbers is 64)
x - y = 12 (difference of two numbers is 12)
To solve this system of equations, we can use the method of substitution or elimination.
Using the method of elimination, we can add the two equations:
(x + y) + (x - y) = 64 + 12
2x = 76
x = 38
Substituting the value of x into one of the equations:
38 + y = 64
y = 26
Therefore, the two numbers are 38 and 26.
Truck traveling at an average rate of 45 Miles per hour leaves a rest stop. 15 minutes later a car traveling and average rate of 60 mph at least the same rest stop traveling the same route. How long will it take for the card to catch up with the trap?
A company has two large computers. The slower computer can send all the company's email in 60 minutes. The faster computer can complete the same job in 40 minutes. If both computers are working together, how long will it take them to do the job? Do not do any rounding.
Answer:
If both computers are working together, it will take 24 minutes to do the job
Step-by-step explanation:
It is given that,
There are two computers.The slower computer can send all the company's email in 60 minutes.
The faster computer can complete the same job in 40 minutes
To find the LCM of 40 and 60
LCM (40, 60) = 120
To find efficiency of 2 computers
Let x be the efficiency of faster computer and y be the efficiency of faster computer
x = 120/40 = 3
y = 120/60 = 2
then, x + y = 3 + 2 = 5
Therefore efficiency of both the computer work together = x + y =5
To find the time taken to work both the computer together
time = 120/5 = 24 minutes
The slower computer works at a rate of 1/60 of the task in a minute, and the faster computer works at a rate of 1/40 per minute. When they work together, they perform 1/24 of the task per minute, and hence, they would complete the task in 24 minutes.
Explanation:The subject of this question is Mathematics, specifically focused on the topic of rates and time. The slower computer sends all the company's email in 60 minutes, which implies it can perform 1/60 of the task per minute. The faster computer can send all the company's email in 40 minutes, inferring that it works at a rate of 1/40 of the task per minute.
When both computers are working together, their rates of working are added together, therefore they perform (1/60) + (1/40) = 1/24 of the task per minute. The reciprocal of this fraction gives the total time it would take both computers to complete the task, i.e., 24 minutes when working together. So, it would take 24 minutes for both computers to send all the company's emails if they work together.
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you need at least 5000 points to earn a gift card from your bank. you currently have 2700 pints.
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
A) 5000 - 2700 = 2300 points needed
B) 2700 + 400 = 3100
the inequality would change to:
5000 - 3100 = 1900 points needed
The student needs to accumulate an additional 2300 points to reach the 5000-point requirement for a gift card from the bank. They currently have 2700 points.
Calculating Points Needed for a Reward
To calculate how many more points a student needs to earn a gift card from the bank, we need to subtract the points the student already has from the required points for the gift card. The student currently has 2700 points and needs at least 5000 points in total. If we subtract the current points from the required points, we have:
Required points for the gift card: 5000 points
Current points: 2700 points
Points needed: 5000 points - 2700 points = 2300 points
The student needs an additional 2300 points to earn a gift card from the bank.
While accumulating points, a student might consider if they could benefit from a very convenient credit card that offers a free Rewards program, unsurpassed card protection, free PhotoCard, free Purchase Cover, personal customer service, and wide acceptance. Such a card is not only accepted at over 400,000 locations in Australia but also more than 14 million establishments worldwide and offers cash access at over 341,000 ATMs.
best rentals charges a daily fee plus a mileage fee for renting its cars. barney was charged $159 for 3 days and 300 miles, while mary was charged $289 for 5 days and 600 miles. what does best rental charge per day and per mile?
$289 is better because its cheaper per mile
for which equation and the inequalities given belown is x=3 not a solution? f)-7x-9=12 g)x-2<-4 h)3x-2=-11 j)-5x-8>7
Answer: f) -7x -9= 12
Step-by-step explanation:
Step 1: Solve the equation. To solve the equation, add 9 to both sides. This is what you would have now. ( -7x = 21 )
Step 2: Now divide -7 from both sides. This is what you would have now.
( x= -3)
PLEASE I REALLY NEED HELP ITS MY LAST QUESTION
Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task,
Let X represent the entry fee and Y represent the cost of each ticket in dollars.
how much Gwen paid.
y = 10x + 30
how much Tristan paid.
y = 15x + 40
how much Keith paid.
y = 10x + 30
Which two equations could you use as a system to find the cost of the entry fee and the cost of each ticket? Why?
You could use Gwen and Keith’s equations because there the same equation.
PLEASE ANSWER THIS:
Did you use elimination or substitution? What was the entry fee, and how much did each ticket cost? (You would use substitution)
Along the highway, the children see a sign stating that. Old towne is 36 1/3 miles away and bridgeway is 52 1/4 miles away. How far is it from old towne to bridgeway
Answer:
The distance from Old Towne to Bridgeway is 15 11/12 miles.
Step-by-step explanation:
In order to find the distance from Old Towne to Bridgeway, we need to subtract the posted distances for these two cities. Since Old Towne is 36 1/3 miles away and Bridgeway is 52 1/4 miles away, we need to subtract 36 1/3 from 52 1/4. We cannot subtract fractions with unlike denominators, so we need to find the lowest common denominator of 3 and 4, which is 12. When we make the fraction of 1/4 over a denominator of 12 we get 3/12 and when we convert 1/3 to a fraction with a denominator of 12, we get 4/12. Since we can not subtract 4 from 3, we need to take one away from 52 and add it to our fraction to become 51 15/12. Subtracting 51 15/12 - 36 4/12 = 15 11/12 miles.
Final answer:
The distance from Old Towne to Bridgeway is calculated by subtracting the distance to Old Towne from the distance to Bridgeway, resulting in 15 11/12 miles.
Explanation:
To determine the distance between Old Towne and Bridgeway, we subtract the distance from the starting point to Old Towne from the distance to Bridgeway. Old Towne is 36 1/3 miles away, and Bridgeway is 52 1/4 miles away. We must first convert these mixed numbers to improper fractions to do the subtraction.
Convert 36 1/3 to an improper fraction: (36 × 3) + 1 = 108 + 1 = 109/3.
Convert 52 1/4 to an improper fraction: (52 × 4) + 1 = 208 + 1 = 209/4.
Find a common denominator to subtract the fractions. The common denominator for 3 and 4 is 12. Thus, convert both fractions to twelfths: 109/3 becomes 436/12, and 209/4 becomes 627/12.
Subtract the distance to Old Towne from the distance to Bridgeway: 627/12 - 436/12 = 191/12.
Convert 191/12 back to a mixed number to find the distance: 191 ÷ 12 = 15 with a remainder of 11, so the distance is 15 11/12 miles.
Therefore, the distance from Old Towne to Bridgeway is 15 11/12 miles.
Anyone know? Will mark brainliest!
Answer:
I believe than answer is A make sure tho im only in 6 th grade
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
This will give you the responses of the functions.
The x values arent the responses.
Which two numbers does the √12 fall between? √4 √9 √16 √25
Question
Which two numbers does the √12 fall between? √4 √9 √16 √25
Answer:
√9 √16
Step-by-step explanation:
√4 = 2
√9 = 3
√12 = 3.5
√16 = 4
√25 = 5
Lanny’s credit card has an apr of 33%, calculated on the previous monthly balance. His credit card record for the last 7 months is shown in the table below. What is the new balance at the end of month 7?
A. $83.39
B. $91.98
C. $99.00
D. $74.43
Answer:
Option A - $83.39
Step-by-step explanation:
Given : Lanny’s credit card has an APR of 33%, calculated on the previous monthly balance. His credit card record for the last 7 months is shown in the table below.
To find : What is the new balance at the end of month 7?
Solution :
From the table, the information of 7 month
Previous balance = $74.33
Payment = $91.98
Unpaid balance = Previous balance - Payments
= $74.33 - $91.98
Unpaid balance = -$17.65
Finance charge = $2.04
New charges = $99
New balance = Unpaid balance + finance charge + new charges
New balance = -$17.65 +$2.04+ $99
New balance =$83.39
Therefore, Option A is correct.
The ratio of boys to girls in a group is 5:3. If there are 10 more boys than girls, work out how many people there are in total.
Answer:
40 students
Step-by-step explanation:
Lets multiply:
5:3 = 10:6 = 20:12 = 25:15
Since 25 is 10 more than 15, these are the actual numbers we need.
25 + 15 = 40 students.
Answer:
If the ratio is 5:3 boys to girls and there are 10 more boys than girls, there would be 15 girls and 25 boys, for a total of 40 people.
Step-by-step explanation:
To solve the ratio, we need to set up a proportion and assign a variable to solve for. In this case, we can make 'x' the number of girls and 'x+10' the number of boys. We know that the ratio of boys to girls is 5 to 3, so we can set up a proportion where 5/3 = (x+10)/x. In order to solve a proportion, we would cross-multiply and divide in order to get a two-step equation to solve for the variable. When we cross-multiply, we get 5x=3(x+10), or 5x=3x + 30. Using inverse operations, first subtracting the '3x' from both sides to get 2x=30, and then dividing both sides by 2 to get x=15. Remember, that 15 represents the number of girls. The number of boys is equal to 'x+10' or 15 +10=25. Then the total number of people is 15+25=40.
brady has a card collection with 64 basketball cards, 32 football cards, and 24 baseball cards. he wants to arrange the cards in equal piles, with only one type of card in each pile. how many cards can he put in each pile?
Answer:
8 piles for basketball
4 piles for football
3 piles for baseball
Step-by-step explanation:
1. Find the GCF of all three #s
2. 8 is the GCF, so divide each # by 8
3. You get the # of piles for each type of card
To solve -3 = -19 + b 5 What step would you use
Answer:
When you say b 5, do you mean b+5?
Step-by-step explanation:
noah bought 4 tacos and paid $6. At this rate,how many tacos could he buyfof $15?
Answer:
10
Step-by-step explanation:
Noah spends $1.50 for every taco, meaning that the cost is 3/2 of the amount of tacos. To get the amount of tacos, find 2/3 of 15.
Choose the graph below that correctly represents the equation 3x + 9y = −18.
pls hurry
Answer:
B
Step-by-step explanation:
Graph the line by first using slope and y- intercept
Slope=-1/3
y-intercept =-2
(0,-2)
(1,-7/3)
Then graph those two points and that graph is B
Answer:
B Please give brainliest
Step-by-step explanation:
I took points from the line and put it into the equation.
(0,-2)
3(0) + 9(-2) = -18 (This works out)
Next....
(-3,-1)
3(-3) + 9(-1) = -18 (This also works)
Which representation represents a proportional relationship?
Answer: A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
math question. shown below
Answer:(-2,8) (-1,5) (0,2) (1,-1) (2,-4)
Step-by-step explanation:
At a certain college the ratio of men to women is 6 to 5. If there are 3520 total students how many men are there.
Final answer:
To find the number of men at the college, divide the total number of students by the sum of the parts in the ratio (6+5) and then multiply by the number of parts for men (6/11). The answer is 1920 men at the college.
Explanation:
To find the number of men at the college, we need to use the ratio of men to women. The ratio is given as 6 to 5, which means there are 6 parts for men and 5 parts for women.
To calculate the number of men, we divide the total number of students by the sum of the parts in the ratio (6+5).
So, the number of men is (6/11) * 3520 = 1920. Therefore, there are 1920 men at the college.
what is the product a-3/15a times 5/a-3
For this case we must find the following product:
[tex]\frac {a-3} {15a} * \frac {5} {a-3} = \frac {5 (a-3)} {15a (a-3)}[/tex]
We know that [tex]\frac {(a-3)} {(a-3)} = 1[/tex]
So:
[tex]\frac {5 (a-3)} {15a (a-3)} = \frac {5} {15a}[/tex]
Dividing the numerator and denominator by "5":
[tex]\frac {5} {15a} = \frac {1} {3a}[/tex]
Thus, the product is[tex]\frac {1} {3a}[/tex]
Answer:
[tex]\frac {1} {3a}[/tex]
Merideths brother, miles, is 3 years younger than twice her age. The sum of their ages is 24. Create an equation to determine their ages. How old are they?
Answer:
Step-by-step explanation: Do 24 / 3 is 8
and to check your work do 8 x 3 which is 24
Hope This Helps ^_^