Answer:
x - 3y = 6
Step-by-step explanation:
Equation of the line in intercept form
The intercept form of the equation of a line is:
[tex]\displaystyle \frac{x}{a}+\frac{y}{b}=1[/tex]
Where:
a = x-intercept
b = y-intercept
The standard form of a line is:
Ax + By = C
The given line has a=6 and b=-2, thus:
[tex]\displaystyle \frac{x}{6}+\frac{y}{-2}=1[/tex]
Multiplying by 6:
x - 3y = 6
This is the required standard form of the line.
Thus, the standard form of the line is:
x - 3y = 6
Sayir is saving up his money to buy a laptop that costs $565.95. Right now he has $205.00, and can save $46.00 each week. How many weeks will it take for Sayir to have enough money for the laptop. Answer the question and put down how you solved it (Answer Choices: A: 6 weeks, B: 7 weeks, C: 8 weeks, D: 9 weeks)
Answer:
8 weeks
Step-by-step explanation:
You would subtract 565.95 from 205 to get 360.95 then divide it hy each number until you get to 46 and dividing by 8 equals this
Which of the following equations Are a linear function.
Answer:A IS THE LINEAR FUNCTION
Step-by-step explanation: NO NEED FOR EXPLANATION
Try to solve this if you can
Answer:
22
Step-by-step explanation:
f. 24-(5-9+18)÷7
24-(14)÷ 7
24 - 2 = 22
hope it helps.....
Step-by-step explanation:
F. = 24-(23-9)/7
=24-14/7
=24-2
=22
g. soln:
let, the quantity be x
Now,
8% of x = Rs.640
or, 8/100*x=Rs. 640
or, 8x\100=Rs.640
or, 8x=Rs.640*100
or, x= 64000/8
x=8000
Please help with math question
9514 1404 393
Answer:
no
Step-by-step explanation:
The Euler Gamma is a named irrational constant whose value is approximately ...
0.57721566490153286060651209008240243104215933593992...
Find the measurement of angle b
Answer:
133
Step-by-step explanation:
Answer:A + angle B + angle C = 180 degrees, we can find the measure of .
Step-by-step explanation:
8747464647396497346585764868738763897645487248737563847538763487Times 32878937498374398487937498743749873928742398787429837429374328947 100 points to correct awnser pls dont report me good luck
Answer:
2.876073e+128
Step-by-step explanation:
your welcome
Answer:
2.876073e+128
Step-by-step explanation:
8747464647396497346585764868738763897645487248737563847538763487Times 32878937498374398487937498743749873928742398787429837429374328947 = 2.876073e+128
What common side do triangle CDE and triangle FED share?
A candle burned at a steady rate. After 33 minutes, the candle was 11.2 inches tall. Eighteen minutes later, it was 10.75 inches tall. Use an equation in point-slope form to determine the height of the candle after 2 hours. Round the answer to the tenth place if necessary
Answer:
9.025 inches
Step-by-step explanation:
Let the length be represented by:
[tex]L = mt+L_0[/tex]
Where [tex]L[/tex] is the length of candle at time [tex]t[/tex]
[tex]m[/tex] is the rate at which the candle is burning.
And [tex]L_0[/tex] is the initial length of the candle.
As per the question statement, let us put the given values in the equation.
[tex]11.2 = m\times 33 + L_0 .... (1)\\10.75 = m\times 51+L_0 ..... (2)[/tex]
Subtracting (1) from (2):
[tex]0.45 = -18m\\\Rightarrow m = -0.025[/tex]
Putting the value of [tex]m[/tex] in the equation (1):
[tex]11.2 = -0.025 \times 33+L_0\\\Rightarrow L_0 = 12.025[/tex]
Therefore, the equation becomes:
[tex]L = -0.025t + 12.025[/tex]
Now, we have to find the height of candle after 2 hours.
2 hours mean 120 minutes.
[tex]L = -0.025 \times 120 + 12.025\\\Rightarrow L = 9.025\ inches[/tex]
Therefore, the height of candle is 9.025 inches.
A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.
Below is a sketch of the graph.
a) Write the inequality of the line.
b) Identify the ordered pair for point A.
c) Identify the ordered pair for point B.
d) State which direction they should shade and why that makes sense in context.
Answer:
Step-by-step explanation:
Lets denote number of floor tickets by x and
Lets denote number of balcony tickets by y as shown in the figure in the question
so, floor tickets are sold for $15 each which means number of x tickets would be sold by $15 multiplied by x which means 15x and balcony tickets are sold for $12 each which means number of y tickets would be sold by $12 multiplied by y which means 12y furthermore it says they want to make at least $3000 which would mean they want to make at least $3000 or higher meaning ≥3000 so the inequality would be
a) [tex]15x+12y\geq 3000[/tex]
b) The ordered pair A we can see that A is the y-intercept which means the point A can also be written as (0 , y) so we put this point into our equation
15x + 12y = 3000 which is the boundary line. So here goes,
[tex]15x+12y=3000\\15(0)+12(y)=3000\\12y=3000\\y=3000/12\\y=250\\[/tex]
so our y-intercept is 250 which means Point A is (0 , 250)
c) They should shade the area above the boundary line because in this context the band that is playing wants to make at least $3000 which means they want to make more than $3000 . So when a ≥ sign appear we shade the area above the boundary line and when the ≤ sign appears we shade the area below the boundary line. If it were in the question the bands wants to make at most $3000 then the ≤ would appear.
I have attached a graph to clearly visualize the solution as well.
Dorian buys 2 pound's of almond's for 21.98 and 3 pound's of dried apricots for 26.25 which is less expensive per pound how much less expensive
Answer: Dried apricots are less expensive they are $8.75
Step-by-step explanation: I divided 21.98 by 2 and got 10.99 then I divided 26.25 by 3 and 8.75 which makes dried apricots less expensive
April took out a $600 loan from the bank. At the end of 5 years, she pays back the principal,
plus $60 simple interest. What was the interest rate? ***HINT*** Remember, you must first
find out how much interest is paid in 1 YEAR!*
(2 Points)
Help please
I = 0.2%
not sure lol
but it will be correct i hope so
I WILL GIVE BRAINLIEST!!!! ASAP!!! A reflection over the x-axis maps △ABC to △A′B′C′. Do the preimage and image have the same size and shape? Explain.
Yes, The preimage and the image have the same shape and size.
What is Reflection of an Object?The reflection of an object across an axis is creating an image that has the same shape and size.
A triangle ABC is reflected over the x-axis to form A'B'C'
When reflected over an axis, the coordinate of the other axis is changed to its additive inverse.
(x,y)-------> (x,-y)
Let the coordinate of the triangle is (1,1),(3,5),(3,1)
The image of the triangle when reflected over x-axis is
(1,1),(3,5),(3,1) -------------> (1,-1),(3,-5),(3,-1)
The shape of a right-angled triangle is the same in the image, the length of the side is same, it is just an image of the same shape and size.
The figure is attached with the answer.
To know more about Reflection
https://brainly.com/question/15487308
#SPJ2
Distance for 3 minutes and at the speed of 17m/s
Answer: speed = 17m/s
time taken = 3min = 3 x 60 = 180 seconds (1min = 60sec)
distance = ST
= speed x time
= 17 x 180
= 3060m
pls mark as the brainliest
^_^
Students rent buses and vans for a trip to Disneyland. There were 12 buses and 8 vans and 360 students. A) write an equation to show the relationship described above. B) if there are 12 students on every van, how many kids are on each bus?
If a triangle has all three angles equivalent and all three sides equivalent, what type of triangle is it
1. Equilateral
2. Obtuse scalene
3. Obtuse isosceles
4. Acute isosceles
Answer:
1 it's and equilateral
Answer:
1 and 4
Step-by-step explanation:
An Equilateral triangle has equal sides.
an Acute triangle has angles that are less than 90
Which is greater 0.37 or 41%
Answer:
41% because if you put both of those numbers a decimal like this 0.37 and 0.41
It's greater
Step-by-step explanation:
Answer:
41%
Step-by-step explanation:
percentages are out of 100.
41% is equal to 0.41
and 0.41 is greater than 0.37
m= 2
b=-3
y=
I need to find how i can make this into a equation
Answer: y=2x-3
Step-by-step explanation:
BASIC EQUATION: y=mx+b
m is slope
b is y intercept (where line intersects the y axis)
Which expression represents a negative number?
A. -4/5 x (-8/9)
B. 4/5 x 8/9
C. -4/5 x 8/9
D. -9/8 x (-3/4)
In the diagram, lines JK and LM at N, M
MNK = 2x + 30.
What is the value of x?
Answer:
the valu of x is 15 .....
Toni rides the Ferris wheel shown for 15 revolutions. A photo of a Ferris wheel has the diameter labeled fifty-six feet. Question 1 Part A How far does Toni travel in one revolution? Use 227 for π
Answer:
a. 176 feet b. 2640 feet
Step-by-step explanation:
a. Since the diameter of the Ferris wheel is D = 56 feet, the distance Toni travels in one revolution is the circumference of the Ferris wheel, C = πD.
So C = 22/7 × 56 ft = 22 × 8 ft = 176 feet
b. The distance traveled in 15 revolutions is thus D' = 15 × distance of one revolution = 15 × 176 = 2640 feet
The radio station in North Pole, AK plays Christmas songs all day and night from Thanksgiving through Christmas. They play 12 per hour for 15 hours a day, and 8 songs per hour for the rest of the day. They like to have a mix of traditional and modern songs with a relationship of 9 traditional songs to every 5 modern songs. How many traditional songs and how many modern songs will they play in one day?
Answer:
Traditional = 162
Modern = 90
Step-by-step explanation:
Given that:
12 songs per hour for 15 hours
8 songs per hour for the rest of the day ; (24 - 15) = 9 hours ;
That is ; 8 songs per hour for 9 hours
Total number of songs played per day :
(12 * 15) + (8 * 9) = 252 songs
If songs are mixed using the ratio 9:5 (traditional : modern)
Traditional songs :
(9 * 252) / (9 + 5) = 162
Modern songs :
(5 * 252) / (9 + 5) = 90
the air pressure P is inversely proportional to the altitude h. write the related variation equation
Answer:
For a confined, constant volume of gas, the ratio
P
T
is therefore constant (i.e.,
P
T
=
k
). If the gas is initially in “Condition 1” (with P = P1 and T = T1), and then changes to “Condition 2” (with P = P2 and T = T2), we have that
P
1
T
1
=
k
and
P
2
T
2
=
k
, which reduces to
P
1
T
1
=
P
2
T
2
A TV has an original price of $499. What is the new price after a 15% increase?
Given:
Original price of a TV = $499
Price increased by 15%.
To find:
The new price of the TV.
Solution:
According to the question,
New price of the TV = Original price + 15% of its original price.
[tex]\text{New price of the TV}=499+\dfrac{15}{100}(499)[/tex]
[tex]\text{New price of the TV}=499+74.85[/tex]
[tex]\text{New price of the TV}=573.85[/tex]
Therefore, the new price of the TV is $573.85.
(16) A group of friends is sharing 2 & 12 pounds of berries lf 5 friends are sharing
the berries how many pounds of berries does each friend receive? (show your
problem and answer)
Please help
Answer:
2.8 pounds
Step-by-step explanation:
2 + 12 = 14
so there 14 pounds
14 / 5 = 2.8
each freind will receive 2.8 pounds of berries
Answer
i think its....
Step-by-step explanation:
The perimeter of the Farmer Bob's rectangular field is 162 yards. The width is 2x and the length is (3x-4). What is the value of x? Question 8 options: 47 34 17 10
Answer:
Step-by-step explanation:
The perimeter of the Farmer Bob's rectangular field is 162 yards. The width is 2x and the length is (3x-4). What is the value of x? Question 8 options: 47 34 17 10
plz I need helpppp!!!!
A car salesman earns $500 per week plus 1.5% commisson on his sales. If he sold two cars for a total of $55,000 last week, how much did he make?
a.$83,000
b.$825
c.$2150
d.$1325
e.$1250
Answer:
D
Step-by-step explanation:
1.5% of 55,000 is 825
add 825 to 500 it totals to 1325
What is the value of 4x+1
I can't understand this one bit
Answer:
It would be $1,590.75 more if it were compounded quarterly than monthly.
Step-by-step explanation:
In order to solve this problem, you need to understand the Compound Interest Formula.
[tex]A= P(1 + \frac{r}{n})^t[/tex]
Where A is the Amount, P is the principal or the initial amount received, r is the rate, n is the number of times (per year) it is compounded, and t is the time in years.
The question gives you all of the information to input into the formula. You have the principal, $5000, the rate, 6% (.06), it's being compounded monthly (12 & 4 per year), and we have the years, 25.
We need to compare the two formulas where the only thing that will change is n. n will be 12 (compounded monthly) and 4 (compounded quarterly).
Compounded monthly
[tex]A=5000(1+\frac{0.06}{12})^{25}\\A = 5663.98[/tex]
Compounded monthly, the account would have $5,663.98 or $5,664 (simplified).
Compounded quarterly
[tex]A=5000(1+\frac{0.06}{4})^{25}\\A =7254.73[/tex]
Compounded quarterly, the account would have $7,254.73 or $7,255 (simplified).
Now, we need to find the difference between monthly and quarterly.
7254.73 - 5663.98 = $1,590.75
It would be $1,590.75 more if it were compounded quarterly than monthly.
An artist is selling children's crafts. Necklaces cost $3.25 each, and bracelets cost $2.50 per each. The artist plan to have a combined total sales of more than $15 from both necklaces and bracelets. If x stands for the number of necklaces and y stands for the number of bracelets, write an inequality that represents this situation
Answer:
[tex]x\geq 6[/tex]
[tex]y\geq 5[/tex]
Step-by-step explanation:
BRAINIST & 30 POINTS
Answer:
DF= 33
Step-by-step explanation:
The ratio is equal to 6:5:1 Which can be changed into 18:15:3
Since DE=18 and EF=15 you simply add and = 33
Answer:
df=33
Step-by-step explanation: