Answer:
Option e: 2/3 is the correct answer.
Step-by-step explanation:
The slope of a line is given by:
\(m = \frac{y_2-y_1}{x_2-x_1}\)
Two-points on line are needed to calculate slope of a line. In the attached diagram, two points are highlighted which are located on line C.
The two points are:
(x1,y1) = (9,4)
(x2,y2) = (3,0)
Putting the values in the formula
\(m = \frac{0-4}{3-9}\\=\frac{-4}{-6}\\=\frac{2}{3}\)
The slope of line C is: 2/3
Hence,
Option e: 2/3 is the correct answer.
Twice x decreased by 4 is 36. What is x
Answer: x=16
Step-by-step explanation:
2x+4=36
Subtract 4 from both sides and get
2x=32
Divide both sides by 2 to isolate x and you get
x=16
A person earns $23,600 one year and gets a 5% raise in salary. What is the new salary?
Answer:
24780
Step-by-step explanation:
might not be right but 24780 because 23600*5% is 1180 and add that to the original 23600 to get 24780
5% more is 105% in total, including the the 100% we start with, so:
23,600 * 1.05 = 24780
PLEASE HELPP ASAPPP pleaseeeee
answer: 28561^2in the area involves multiplying by the 4 sides of the shaded square and the shaded is the colored square.
5,10,15,20,25 what is the common difference
Answer:
The common difference in the given sequence is 5.
Step-by-step explanation:
The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15
A scammer scanned 63 photos in 9 minute if it scans photos at a constant rate it can scan___ photos in 21 minutes (20 points)
The answer to this is 147. Just divided 9 by 63 :)
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
Two planes fly toward each other. They are 3500 kilometers apart. They pass
each other after 7.5 hours. If their speeds differ by 65 kilometers per hour, what are their speeds?
Given:
Two planes fly toward each other. They are 3500 kilometers apart.
They pass each other after 7.5 hours.
Their speeds differ by 65 kilometers per hour.
To find:
Their speed.
Solution:
Let speed of one plane be x km/h.
So, speed of second plane is x+65 km/h.
Relative speed = x+(x+65) km/h
We know that,
\(Speed=\dfrac{Distance}{Time}\)
\(x+(x+65)=\dfrac{3500}{7.5}\)
\(2x+65=\dfrac{3500}{7.5} \)
Multiply both sides by 7.5.
\(15x+487.5=3500 \)
\(15x=3500-487.5 \)
\(15x=3012.5 \)
Divide both sides by 15.
\(x=\dfrac{3012.5}{15} \)
\(x\approx 200.83 \)
Speed of first plane = 200.83 km/h.
Speed of second place = 200.83+65 = 265.83 km/h
Therefore, their speeds are 200.83 km/h and respectively.
The softball team coach buys 10 pizzas after the game. altogether 4/5 of the pizza where eaten how many pizzas were eaten ?
5 points for this. I NEED THIS QUICKLY PLS HELP
Answer: 8 pizzas.
Step-by-step explanation:
4/5 of 10 is 8. You can multiply 4/5 X 10 to get 8. Therefore, 8 pizzas were eaten.
Answer:
6x + 10t
Step-by-step explanation:
hope this helped! thats the equation for it if thats what you need.
Mark me brainliest :D
Alina, Robert, and Makayla are on the student council at their high school. They all want to go to a dinner where student council representatives from other schools will participate. However, only one student per school can go. How can a fair decision be made about who goes to dinner? Select all that apply.
If the answer is correct I will mark as brainliest.
A. Write each students name on a slip of paper and put the slips in a hat. Randomly draw a slip of paper. The Student whose name is on the paper wins.
B. Flip a coin twice. If both tossed are heads, Alina wins. If both are tails, Makayla wins. If one is heads and one is tails, Robert wins.
C. Roll a number cube. If it lands on 1 or 2, Alina wins. If it lands on 3 or 5, Robert wins. If it lands on any other number, Makayla wins.
D. Roll a number cube. If the number is odd, Alina wins. If the number is even, Robert wins. If it's any other number, Makayla wins
Answer:
A. Write each students name on a slip of paper and put the slips in a hat. Randomly draw a slip of paper. The Student whose name is on the paper wins.
C. Roll a number cube. If it lands on 1 or 2, Alina wins. If it lands on 3 or 5, Robert wins. If it lands on any other number, Makayla wins.
Is the solution x = 4 correct?
1. Check the solution in the equation.
2. Justify your answer
Enter your answer and your justification in the space
provided.
Yes, the solution is correct as x = 4
What are algebraic expressions?Algebraic expressions are described as expressions that are made up of terms, variables, constants, factors and coefficients.
These expressions are also composed of operations, such as;
AdditionSubtractionMultiplicationDivisionBracketParenthesesFrom the information given, we have that;
8 - √x = 10
collect the like terms
- √x = 10 - 8
subtract the values
- √x = 2
Then, we have;
√x = -2
Take the square root of both sides
x = (-2)²
x = 4
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A construction company will be penalized each day of delay in construction for bridge. The penalty will be $4000 for the first day and will increase by $10000 for each following day. Based on its budget, the company can afford to pay a maximum of $ 165000 toward penalty. Find the maximum number of days by which the completion of work can be delayed.
Answer:
The answer toy our problem is, The maximum number of days by which the completion of work can be delayed is 15.
Step-by-step explanation:
We are given that the penalty amount paid by the construction company from the first day as sequence, 4000, 5000, 6000, ‘ and so on ‘. The company can pay 165000 as penalty for this delay at maximum that is
\(S_{n}\) = 165000.
Let us find the amount as arithmetic series as follows:
4000 + 5000 + 6000
The arithmetic series being, first term is \(a_{1}\) = 4000, second term is \(a_{2}\) = 5000.
We would have to find our common difference ‘ d ‘ by subtracting the first term from the second term as shown below:
\(d = a_{2} - a_{1} = 5000 - 4000 = 1000\)
The sum of the arithmetic series with our first term ‘ a ‘ which the common difference being, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) ( ‘ d ‘ being the difference. )
Next we can substitute a = 4000, d = 1000 and \(S_{n}\) = 165000 in “ \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) “ which can be represented as:
Determining, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\)
⇒ 165000 = \(\frac{n}{2}\) [( 2 x 4000 ) + ( n - 1 ) 1000 ]
⇒ 2 x 165000 = n(8000 + 1000n - 1000 )
⇒ 330000 = n(7000 + 1000n)
⇒ 330000 = 7000n + \(1000n^2\)
⇒ \(1000n^2\) + 7000n - 330000 = 0
⇒ \(1000n^2\) ( \(n^2\) + 7n - 330 ) = 0
⇒ \(n^2\) + 7n - 330 = 0
⇒ \(n^2\) + 22n - 15n - 330 = 0
⇒ n( n + 22 ) - 15 ( n + 22 ) = 0
⇒ ( n + 22 )( n - 15 ) = 0
⇒ n = -22, n = 15
We need to ‘ forget ‘ the negative value of ‘ n ‘ which will represent number of days delayed, therefore, we get n=15.
Thus the answer to your problem is, The maximum number of days by which the completion of work can be delayed is 15.
Jessica deposited $2000 into an account with a 7.6% annual interest rate, compared quarterly. Assuming that no withdrawals are made, how long will it take for the investment to grow to $3722?
Answer:
Step-by-step explanation:
use
i=prt
i=interest
p= principal value
r=rate
t=time
now you want to find time then it will be
t= i/pr
put values
t= 3722/(2000*7.6%)
t= 2 years
calculation is in fraction but your question given you annual interest so time will also be 2 years not in months
-2x+18-1x+4=34 Show your work
Answer:
x=-4
Step-by-step explanation:
-2x+18-1x+4=34
step 1 combine like terms
-2x+-1x=-3x
18+4=22
-3x+22=34
step 2 subtract each side by 22
-3x=12
step 3 divide each side by -3
x=-4
hope this helps (:
Answer:
x=-4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2x+18−1x+4=34
−2x+18+−x+4=34
(−2x+−x)+(18+4)=34(Combine Like Terms)
−3x+22=34
−3x+22=34
Step 2: Subtract 22 from both sides.
−3x+22−22=34−22
−3x=12
Step 3: Divide both sides by -3.
−3x-3=12-3
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
Answer:
Brand A Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^
The Duncan family went out for dinner. They ordered 2 meals at $7.25 each and 1
meal at $5.50. They also had 3 drinks at $1.80 each and one dessert at $4.85.
a) Write an expression to evaluate the total amount spent.
b) Evaluate the expression to find the total amount spent before tip.
Answer:
look below
Step-by-step explanation:
(7.25 * 2) + 5.50 + (3 * 1.80) + 4.85
Lets combine
(7.25 * 2) + (3 * 1.8) + 10.35
7.25 * 2 is 14.50
3 * 1.8 is 5.4
14.50 + 5.4 + 10.35
is $30.25 before tip
(Tip should be 6.05 minimum, 20% of 30.25 is 6.05)
(PLEASE ANSWER FAST)
Some friends are eating crackers. The number of crackers, y, that each person gets is inversely proportional to the number of people, x, who are sharing the crackers. When 4 people share the crackers, each person gets 12 crackers. What is an inverse proportion equation that represents this situation? How many crackers will each person get if 8 people are sharing the crackers?
(PLEASE ANSWER FAST)
Answer: yx (4)(12) / 8
Step-by-step explanation:
Answer:
1. What is an inverse proportion equation that represents this situation?
y=48/k
2. How many crackers will each person get if 8 people are sharing the crackers?
6 crackers
Step-by-step explanation:
1. What is an inverse proportion equation that represents this situation?
The number of crackers, y, is inversely proportional to the number of people, x. In mathematical terms, this is y=k/x, where k is some number.
When there are 4 people, each person gets 12 crackers:
y=k/x
12=k/4
48=k
Therefore, our equation is y=48/x
2. How many crackers will each person get if 8 people are sharing the crackers?
y=48/x, where y is the number of cracker and x is the number of people.
y=48/8
y=6
Juan, standing at one focus of a whispering gallery; is 20 ft from the nearest
wall. His friend is standing at the other focus, 80 ft away. How high is its elliptical
ceiling at the center?
Fill in the blank:
The elliptical ceiling is
ft high at the center.
Give your answer to the nearest whole ft (no decimal places).
The elliptical ceiling is approximately 30 ft high at the center.
To find the height of the elliptical ceiling at the center, we can use the properties of an ellipse.
In this case, the two foci of the ellipse represent the positions where Juan and his friend are standing.
The distance between the two foci is 80 ft, and Juan is 20 ft away from the nearest wall.
This means that the sum of the distances from any point on the ellipse to the two foci is constant and equal to 80 + 20 = 100 ft.
Since Juan is standing at one focus and the distance to the nearest wall is given, we can determine the distance from Juan to the farthest wall by subtracting the distance to the nearest wall from the sum of the distances.
Distance from Juan to the farthest wall = 100 ft - 20 ft = 80 ft.
The height of the elliptical ceiling at the center is equal to half of the distance between the nearest and farthest walls.
Height of elliptical ceiling = (80 ft - 20 ft) / 2 = 60 ft / 2 = 30 ft.
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I need help solving this
The cylinder has a volume of 150.796 in³. The cylinder has a surface area of 175.929 in².
What's volume of cylinder ?The quantity of three-dimensional space that an object or closed surface occupies is referred to as volume in mathematics. The cubic units of volume are m³, cm³, in³, and so on.
How does surface area work?The sum of all of an object's faces is its surface area in three dimensions. Wrapping, painting, and finally building things to achieve the best possible design are examples of real-world applications of the concept of surface areas.
Evaluating :Given that a volume of cylinder = h × r² × π
h = 12 in
r = 2 in
volume = ?
Volume of cylinder = h × r² ×π
= =12 × 3.14×(2)²
=37.68 × 4
=150.796 in³
B). Surface area of cylinder= 2πr² + 2πrh
=2× 3.14 × (2)²+2× 3.14× 2×12
=175.929in²
The formula V=r²(h) can be used to determine a cylinder's volume. Simply multiplying the area of the circular base shape by the height is all that is required to determine a cylinder's volume.
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Help
Don’t use for points or will take it back
Answer:
60°
Step-by-step explanation:
Angles in a triangle add up to 180°
80°+40°=120
180-120=60°
Answer:
60
Step-by-step explanation:
The angles of the traingle must add up to 180 which means that
40+80+x=180
Solve for x
120+x=180
60=x
Suppose y varies directly with x. When x is 5, y is 15. What is y when x is 12?
Answer:
y = 36
Step-by-step explanation:
given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the condition when x = 5 , y = 15
15 = 5k ( divide both sides by 5 )
3 = k
y = 3x ← equation of variation
when x = 12 , then
y = 3 × 12 = 36
Can u please help me with 3&4 I’m giving 20 point please help me
Answer:
Step-by-step explanation:
Philip is assigned to read a book for his literature class that is 240 pages long. He reads at a rate of 30 pages per hour. If he can only read for 2 hours per day, how many days will it take him to finish the book?
Answer:
4 days
Step-by-step explanation:
240 pages read at 30 pages/hour
(240 pages)/(30 pages/hour) = 8 hours
He will need to read for 8 hours.
He reads 2 hours per day.
(8 hours)/(2 hours/day) = 4 days
Answer: 4 days
Answer:
it will take him 4 days to finish the book
Step-by-step explanation:
so, look at it this way: he needs to read 240 pages, and can only read 2 hours a day, and when you look how many pages he can read it says 30 pages per hour, so you take 2*30 to get 60, from there you divide 240 and 60 to get 4,
If your Uncle Jack was on his roof, and he wanted you to help him down, would you help your Uncle Jack off?
Luna rented a car for $83.00 a week plus $0.20 for each mile the car is driven. What is
the greatest number of miles Luna can drive the car in one week if she wishes to spend at
most $100.00
Answer:
135 miles
Step-by-step explanation:
So first we have to find the difference of 83 and 100. So 100-83=27. So for miles, she can spend 27 dollars. Now, since per mile it costs 20 cents or 1/5 of a dollar, every time she drives 5 miles she'll have to pay one more dollar. So One dollar = 5 miles. Then we do the total amount of money she can spend on miles (27) and multiply that by the amount of miles per dollar (5) and we get 135 miles. So she can drive 135 miles.
1. Which of the following is a solution to the equation y =
-1/4x
+ 8?
A. (10,-8)
B. (4,8)
C. (-4,9)
D. (-8,-10)
Answer:
C
Step-by-step explanation:
You can just put it in your calculator
About how much should the gratuity for the restaurant server be? Round the percent of gratuity to the nearest benchmark percent to find the answer.
$ _____
The gratuity of the hotel server has to be $8.
How to solve for the gratuityThe tax of the restaurant server is 8.5 percent
We have tro find this based on salary
40 dollars x 0.85 = 34
The income 34 - 18
= 16
Half of 16 = 8
Hence the amount that is the percentage of gratuity is 8 percent.
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The length of a rectangle is four more than its width. If the area of the rectangle is 12, find the length of the rectangle.
Answer:
I don’t know but I have the same question with different numbers
Step-by-step explanation:
Given that log 2 = 0.3010 and log 7 = 0.8451, find the following (a) log 49 (b) log 560
Answer:
ok babababr
Step-by-step explanation:
skwjshehhehdhhshwhhdhwhbeujsbsgehbedheb
Answer:
Log 49= 1.6902
Log 560= 1.7481
Step-by-step explanation:
log49= log7×7
From the rules of logarithms, we have that
log a×b= log a + log b
So log49= log7×7= log7 + log7
= 0.8451 + 0.8451 = 1.6902
Log 560 = log7×8 = log7 + log8
log8= log2^3 = 3log2
log8= 3×0.3010 =0.930
log 560= 0.8451 + 0.930 = 1.7481
Set up an equation for x and solve to the nearest degree
Answer:
Almost equals 28°
Step-by-step explanation:
cos(x)= 12/18
x= cos^-1 (12/18)
So it equals 48.1896°
How many of the small cubes with the edge length of 1/4 centimeter does it take to make a prism with the width of 1 3/4 cm, length of 1 1/4 cm and height of 3/4 cm?
9514 1404 393
Answer:
105
Step-by-step explanation:
The prism width is (1 3/4)/(1/4) = (7/4)/(1/4) = 7 cubes.
The prism length is (1 1/4)/(1/4) = (5/4)/(1/4) = 5 cubes.
The prism height is (3/4)/(1/4) = 3 cubes.
Then the total number of small cubes required to fill the prism is ...
V = LWH = (5)(7)(3) = 105
It takes 105 small cubes to make the larger prism.