Answer:
21.5
Step-by-step explanation:
i took the quiz and had gotten it right
4 points: A,B,C and D are marked in order on a line such that AB:AC = 3:7 and BD:CD= 9:2. If CD is 100cm long, find the length of AB.
Problem:Broderick had 420 in his checking account. He made 6 deposits of 35.50 each and he needs to write 4 checks for 310.75 each.
Question: I need to know an INTEGER to represent the total deposits Broderick made and another integer to represent Broderick needs from his checking account to cover the checks?
Owen settled on a price of $7,870 for a new car. The dealer had to add 4.5% sales tax to this price, but allowed a $1,200 trade-in for Owen's old car. Although not a universal practice, please add the sales tax to the price of the new car first and then deduct the trade- in value. If the dealer required a 15% down payment, calculate the amount of the purchase price that Owen financed.
To find the amount that Owen financed, we first calculate the sales tax, add it to the initial price, deduct the trade-in value, and then calculate the percent of the final price that Owen needs to finance.
Explanation:To solve the problem, we first need to calculate the total cost of the car by adding the sales tax to the original price. Sales tax is calculated as follows: $7,870 * 4.5/100 = $354.15. So, the total cost before the trade-in is $7,870 + $354.15 = $8,224.15.
Next, we deduct the trade-in value of the old car, which is $1,200. The price after trade-in is, therefore, $8,224.15 - $1,200 = $7,024.15.
Finally, the dealer requires a 15% down payment. The amount Owen needs to finance is therefore 85% of the final price (100% - 15% = 85%). The financed amount is: $7,024.15 * 85/100 = $5,970.53.
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A bird picks up a golf ball and drops it while flying 81 feet above the ground. The ball hits the top of a 32-foot-tall pine tree then bounces down to the ground. After how many seconds does the ball hit the tree?
A bird picks up a golf ball and drops it while flying 81 feet above the ground
The ball hits the top of 32 foot - tall pine tree
Now distance travelled by the ball till hitting the pine tree = 81 - 32
= 49 feet
now we have to convert feet into metre
49 feet = 14.93 metre
By applying formula s = ut + 1/2at^2
here initial velocity u = 0
And acceleration is g
therefore, 14.93 = 1/2*9.8*t^2
i.e. 14.93 = 4.9*t^2
i.e. t^2 = 14.93/4.9 = 3.047
i.e. t = 1.75 secs
Therefore ball hits the tree after 1.75 secs
HELP
How many pieces 3/7 of a foot each can I make out of 7/2 feet of rope?
A rectangular field is 0.45 kilometers long and 0.4 kilometers wide. What is the area of the field in square meters? Do not round your answer. Be sure to include the correct unit in your answer.
area of rectangle = l * w
here l=0.45 km
w=0.4 km
area = 0.45 * 0.4 = 0.18 sq. km
Answer : Area = 0.18 km²
Amir is operating a machine that adds sand to a concrete mixture. The machine adds 1/10 ton of sand to the mixture in 4/5 minute. Enter a number in each box to complete the statements. Write the ratio that compares 1/10 ton of sand to 4/5 minute. The ratio in ton(s) per minute(s) is $$ . Simplify the ratio to find the amount of sand added in one minute. ton(s) per minute
for the above question, we can first convert the fractions to decimals to make it easier to work with
1/10 of sand - 0.1 ton
4/5 minute - 0.8 minute
Q1 -
ratio
0.1:0.8
since the ratio is in decimals we can convert it to whole numbers by multiplying by 10
1:8
Q2. amount of sand added in 0.8 minutes - 0.1 ton
amount of sand added in 1 minute - 0.1/0.8 = 0.125 tons
how do you compare y intercepts and rates of change
Using the variables 'x' and 'y', write an equation for the situation. Your school sold adult and student tickets for a high school play. They sold a total of 782 tickets.
Step 1: Assign variable for the unknown that we need to find
Let ' x ' be the number of adult tickets
and Let ' y ' be the number of student tickets
Step 2: Use the given sentence to write an equation.
Sentence: "Your school sold adult and student tickets for a high school play. They sold a total of 782 tickets."
[tex] Number \; of\; adult\; tickets + \; Number \; of\; student\; tickets\; =\; Total\; number\; of\; tickets\\ \\ x + y = 782 [/tex]
If you were given a rectangle with a certain area how would you draw it so that it had the greatest perimeter
To maximize the perimeter of a rectangle with a given area, increase the length and decrease the width significantly.
To draw a rectangle with the greatest perimeter given a certain area, you should make the rectangle as long and narrow as possible. When the length of the rectangle approaches infinity and the width approaches zero while maintaining the same area, the perimeter is maximized.
Show twelve in four different ways.use words, pictures and numbers
ax+z=aw-y solve for a
Mrs. Jackson earned a $500 bonus s for signing a one-year contract to work as a nurse. Her salary is $22 per hour. If her first weeks checks including the bonus is $1,204, how mqny hours did Mrs. Jackson work?
To find the number of hours Mrs. Jackson worked, subtract the bonus from her total earnings and divide the result by her hourly rate. Mrs. Jackson worked 32 hours.
Explanation:To find the number of hours Mrs. Jackson worked, we need to subtract the bonus from her total earnings and divide the result by her hourly rate. Let's set up an equation:
Total earnings - Bonus = Hourly rate * Number of hours worked
$1204 - $500 = $22 * ">Number of hours worked
$704 = $22 * Number of hours worked
Divide both sides of the equation by $22:
Number of hours worked = $704/$22 = 32 hours
Therefore, Mrs. Jackson worked 32 hours.
Mrs. Jackson worked 32 hours in total.
Explanation:To calculate the number of hours Mrs. Jackson worked, we need to subtract the bonus from her total earnings and then divide the result by her hourly rate.
Let's set up an equation for this:
Total earnings - Bonus = Hourly rate * Hours worked
Substituting in the given values:
1204 - 500 = 22 * Hours worked
Simplifying the equation:
704 = 22 * Hours worked
Dividing both sides by 22 gives:
Hours worked = 704 / 22 = 32
Therefore, Mrs. Jackson worked 32 hours in total.
Ryan made 65 ounces if apple jelly. He put the same amount of jelly into 6 jars. How much jelly is in each jar?
Find the missing value to the nearest hundredth of a degree. Help!!
Answer:
The answer above for question 7 is also correct its B. 30 degrees. Because that anser is hard to find on here.
Step-by-step explanation:
what is the length of line segment ab
Answer:
The length of line segment is 13 units
Step-by-step explanation:
Given the line segment AB.
we have to find the length of line segment.
The coordinates of A and B are (0, 12) and (5, 0) respectively.
By distance formula,
[tex]\text{The distance between the points }A(x_1,y_1)\text{ and } B(x_2, y_2)[/tex]
[tex]AB=\sqrt{(x_2-x_1)^2+y_2-y_1)^2}[/tex]
[tex]AB=\sqrt{(5-0)^2+(0-12)^2}[/tex]
[tex]AB=\sqrt{25+144}=\sqrt{169}=13 units[/tex]
Hence, the length of line segment is 13 units.
I need help for 2, 4,7 and 9 !! SOLVE FOR X !!! Thank you
What is the area of this circle
7in*7in=49square in
than multiply by pi
hope this helps
Lee baked 50 cookies. He gave some to a friend and ate 50% of the remaining cookies. He had 15 cookies left. What percentage of the cookies did he give to his friend?
Lorenzo plans to purchase three identical shirts. The shirts are on sale for 20% off. Let c represent the cost of each shirt. Which expressions can Lorenzo use to calculate his total cost for the three shirts after the discount?
Select each correct answer.
A. 0.80(3c)
B. 3c−0.20(3c)
C. 3(c−0.20c)
D. 1.20(3c)
please help
Answer:
Options A, B and C are correct choices.
Step-by-step explanation:
Let c represent the cost of each shirt.
As Lorenzo bought 3 shirts, so the cost of 3 shirts will be 3c.
We have been given that the shirts are on sale for 20% off, so the total cost of three shirts after discount will be 3c minus 20% of 3c.
We can represent this information in an equation as:
[tex]\text{Total cost for the three shirts after the discount}=3c-(\frac{20}{100}\times 3c)[/tex]
[tex]\text{Total cost for the three shirts after the discount}=3c-(0.20\times 3c)[/tex]
[tex]\text{Total cost for the three shirts after the discount}=3c-0.60c[/tex]
[tex]\text{Total cost for the three shirts after the discount}=2.40c[/tex]
Let us see our given choices one by one.
A. 0.80(3c)
Upon simplifying our given expression we will get,
[tex]0.80(3c)=2.40c[/tex]
Therefore, option A is a correct choice.
B. 3c−0.20(3c)
We have already seen that total cost of 3 shirts after discount will be 3c minus 20% of 3c and after simplifying our expression we will get,
[tex]3c-0.20(3c)=3c-0.60c=2.40c[/tex]
Therefore, option B is a correct choice as well.
C. 3(c−0.20c)
Upon simplifying our given expression we will get,
[tex]3(c-0.20c)=3c-0.60c=2.40c[/tex]
Therefore, option C is a correct choice as well.
D. 1.20(3c)
Upon simplifying our given expression we will get,
[tex]1.20(3c)=3.60c[/tex]
Since total cost of 3 shirts after discount is 2.40c, therefore, option D is not a correct choice.
112=7x+7(-4x-17)
So i need help with this and a worksheet that relates to these types of problems i got a 10% on it please helpppp
The heights of all the 12-year-old boys in the United States are normally distributed with a mean of 59 inches and a standard deviation of 3 inches. What is the probability that a boy chosen randomly from that age group will have a height greater than 65 inches?
Bill is shopping for folder, notebook, and pencils for the first day of school. a notebook costs 4 times as much as a folder. a notebook costs 2 times as much as a set of pencils. each folder costs $ 2 . determine the costs for 1 folder, 1 notebook, and 1 set of pencils.
Which trinomials are perfect square trinomials? Select each correct answer.
A) m^2+10m+100
B) m^2+10m+25
C) m^2+24m+144
D) m^2+36m+60
Which civilization was known to use geometry to construct canals for the transportation of water?
A.
Greeks
B.
Egyptians
C.
Maya
D.
Babylonians
how many minutes are in the time interval from 7:09 a.m. to 10:36 a.m.
3x=-5y
6x-7y=17
Solve the equation
Final answer:
To solve the system of equations, we first expressed x in terms of y from the first equation and substituted it into the second equation. After simplifying, we solved for y and then substituted back into the first equation to find x. The solution is x = 5/3, y = -1.
Explanation:
To solve the system of equations 3x = -5y and 6x - 7y = 17, one can use the method of substitution or elimination. We'll use elimination for this example. First, observe that the first equation can be rewritten to solve for x in terms of y:
3x = -5y
x = -5y/3
Let's substitute this expression for x into the second equation:
6(-5y/3) - 7y = 17
-10y - 7y = 17
-17y = 17
y = -1
Now substitute y back into the first equation to find x:
3x = -5(-1)
3x = 5
x = 5/3
The solution to the system of equations is x = 5/3, y = -1.
Which of the sets of ordered data represents this box-and-whisker plot?
65, 65, 70, 75, 80, 80, 85, 90, 95, 100
65, 70, 75, 80, 80, 85, 90, 95, 100
65, 65, 72.5, 70, 75, 80, 80, 85, 90, 100
65, 70, 75, 80, 85, 90, 95, 100
the calculated five-number summaries with the given box-and-whisker plot, the set of ordered data that matches the plot is: 65, 65, 72.5, 70, 75, 80, 80, 85, 90, 100
To determine which set of ordered data represents a given box-and-whisker plot, we need to understand how a box-and-whisker plot is constructed.
A box-and-whisker plot shows the distribution of a dataset by displaying the five-number summary: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. Here's how these values are calculated:
1. Arrange the data in ascending order.
2. Find the median (Q2), which is the middle value of the dataset.
3. Find the first quartile (Q1), which is the median of the lower half of the dataset (excluding the median itself).
4. Find the third quartile (Q3), which is the median of the upper half of the dataset (excluding the median itself).
5. Determine the minimum and maximum values.
Let's calculate the five-number summary for each set of ordered data:
1. For the dataset: 65, 65, 70, 75, 80, 80, 85, 90, 95, 100
- Minimum: 65
- Q1: 70
- Median: 80
- Q3: 90
- Maximum: 100
2. For the dataset: 65, 70, 75, 80, 80, 85, 90, 95, 100
- Minimum: 65
- Q1: 75
- Median: 80
- Q3: 90
- Maximum: 100
3. For the dataset: 65, 65, 72.5, 70, 75, 80, 80, 85, 90, 100
- Minimum: 65
- Q1: 70
- Median: 77.5 (average of 75 and 80)
- Q3: 85
- Maximum: 100
4. For the dataset: 65, 70, 75, 80, 85, 90, 95, 100
- Minimum: 65
- Q1: 72.5 (average of 70 and 75)
- Median: 82.5 (average of 80 and 85)
- Q3: 92.5 (average of 90 and 95)
- Maximum: 100
Comparing the calculated five-number summaries with the given box-and-whisker plot, the set of ordered data that matches the plot is: 65, 65, 72.5, 70, 75, 80, 80, 85, 90, 100.
The cost of 3 pounds of grapes is $6.57 what is the constant of proportionality that relates that cost in dollars,y,to the number of pounds of grapes,x?
11 + 5 + 22 × 12 − 10