The equation of the line that passes through (4,13) and (8,1) is y = 0.6x + 10.6
How to find the equation of the line?given the points (4,13) and (8,1)
(x1,y1) = (4,13)
(X2, y2) = (8,1)
now we have to find slope of the line passing through these points.
[tex]slope = \frac{(y2 - y1)}{(x2 - y1)} \\ slope = \frac{1 - 4}{8 - 13}[/tex]
[tex]slope = \frac{ - 3}{ - 5} [/tex]
slope = 0.6
Hence, the slope of the line is 0.6
we know the standard form of equation of the line.
y = mx + b
let us put the x = 4 and y = 13
y = mx + b
13 = 0.6(4) +b
13 = 2.4 + b
13 - 2.4 = b
10.6 = b
now put the m and b value into standard form of equation of the line to get the equation of the line.
y = 0.6m + 10.6
Learn more about equation of the line from here:
https://brainly.com/question/13763238
#SPJ9
At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?
490x + 700y < 4000
490x + 700y ≤ 4000
490x + 700y > 4000
490x + 700y ≥ 4000
Answer: 490*x + 700*y ≤ 4000
Answer:
its b
Step-by-step explanation:
a swimming pool has two pipes coming in. one fills the pool in four hours, the other in six hours. an outlet pipe empties the pool in five hours. the outlet pipe is accidentally left open. in how many hours is the pool full?
The pool is full for 4 hrs.
Add the rates of filling of the 2 filling pipes and
subtract the rate of draining of the emptying pipe;
1st pipe's rate: ( 1 pool filled ) / ( 3 h);
2nd pipe's rate: ( 1 pool filled ) / ( 6 h );
3rd pipe's rate of emptying: ( 1 pool emptied ) / ( 4 h);
Let t = the time in hrs to fill the pool with all 3 pipes open
1/3+16-1/4 = 1/t;
Multiply both sides by 24t;
t = 4 hrs
volume is a measure of occupied three-dimensional space. it's miles frequently quantified numerically using SI derived units (consisting of the cubic meter and liter) or by way of diverse imperial devices (inclusive of the gallon, quart, cubic inch).
To learn more about volume visit: https://brainly.com/question/13463933
#SPJ4
Write 5 600 000 in standard form.
Step-by-step explanation:
5.6 × 10⁶
hope it's helpful
PLEASE HELP! URGENT!!
Find the range of values of [tex]k[/tex] for which the line [tex]y=kx+k[/tex] intersects the curve [tex]x^{2} +y^{2} =8k\\[/tex]
Answer:
x-
[tex]x = - {y}^{2} + 8k[/tex]
If f, g, and h are all positive number which of the following is NEVER true?
Answer:
C) fgh = 0==================================
Since all numbers are positive, their sum or product can be a positive number but never negative or zero.
A) f + g = 2h, both sides are positive → trueB) fh = 1, both sides are positive → true C) fgh = 0, at least one of the numbers should be zero → never trueD) gh = 23, both sides are positive → trueDoes the ratio 5 1/2 : 1 1/2 has the unit rate of 3 2/3
Based on the ratio, 5¹/₂ : 1¹/₂, the unit rate can be found to be so the statement is TRUE.
How to find the unit rate?To find the unit rate of a ratio, you should divide the first number in the ratio by the second number in the ratio.
When given the ratio, 5¹/₂ : 1¹/₂, therefore, the unit rate is:
= 5¹/₂ ÷ 1¹/₂
= 11/2 ÷ 3/2
= 11/2 x 2/3
= 22 / 6
= 3.6667
= 3²/₃
In conclusion, the unit rate of 5¹/₂ : 1¹/₂ is 3²/₃.
Find out more on unit rate at https://brainly.com/question/19493296
#SPJ1
if pi is 3.142 what is the area of a circle of radius 3.5 cm
Answer:
38.4895cm²
Step-by-step explanation:
The area=3.142×(3.5cm)²=38.4895cm²
Answer:
The Area of circle is 34.49cm
Step-by-step explanation:
⟼ Area of a circle = [tex] \sf \pi {r}^{2} [/tex]
where,
π = 3.142r = radius = 3.5cm⟼ Area = (3.142)(3.5)(3.5)
⟼ Area = (3.142)(12.25)
⟼ Area = 38.4895cm
What is the answer to this problem?
Answer:
bsosbsodndodnelsnsodnendk
The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee
and then a certain amount of money per minute used on the phone. If a customer uses 360 minutes, the
monthly cost will be $86. If the customer uses 610 minutes, the monthly cost will be $123.5.
A) Find an equation in the form y = mx +b, where x is the number of monthly minutes used and y is
the total monthly of the A Fee and Fee plan.
Answer: y =
B) Use your equation to find the total monthly cost if 945 minutes are used.
Answer: If 945 minutes are used, the total cost will be
dollars.
The equation in the form y = mx +b, where x is the number of monthly minutes used and y is the total monthly of the A Fee and Fee plan is: y = (3/20)x + 32 and the total monthly cost is $173.75.
Equationa. Equation
Slope = ( $123.5-$86)/(610-360)
Slope=37.5/250
Slope= 3/20
y = mx + b
Solve for "b"
$123.5 = (3/20)610 + b
$123.5 = 91.5 + b
b=$123.5-$91.5
b = 32
Equation:
y = (3/20)x + 32
b. Total cost
Total cost= (3/20)945+32
Total cost= 141.75+32
Total cost= $173.75
Therefore the equation in the form y = mx +b, where x is the number of monthly minutes used and y is the total monthly of the A Fee and Fee plan is: y = (3/20)x + 32 and the total monthly cost is $173.75.
Learn more about equation here: https://brainly.com/question/2972832
#SPJ1
Justin operates an orange juice stand. Justin started out with 48 oranges. On monday, he used 3/4 of the orange. On Tuesday he used 1/12 as many oranges as Monday. How much more oranges did he sell on Monday compared to Tuesday.
Answer:
75% of 48 = 36 oranges used on M. 36/12=3, 3 is 1/12 of 36, so he sold 33 more oranges on M then on T when he only sold 3.
Alejandro and some friends are going to the movies. At the theater, they sell a bag of popcorn for $3.50 and a drink for $4. How much would it cost if they bought 3 bags of popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and d drinks?
Total cost, 3 bags of popcorn and 8 drinks:______
Total cost, p bags of popcorn and d drinks:______
Answer:
Step-by-step explanation:
Using a proportional relationship, the costs are given as follows:
3 bags of popcorn and 8 drinks: $42.05.p bags of popcorn and d drinks: C(p,d) = 3.35p + 4d.What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
A proportional relationship may also involve multiple variables, as is the case in this problem, in which the cost is a function of the number of bags of popcorn p and the number of drinks d.
The constants are the prices of each product, hence the function for the total cost of p bags of popcorn and d drinks is given by:
C(p,d) = 3.35p + 4d.
Hence, for 3 bags and 8 drinks, the cost is:
C(3,8) = 3.35(3) + 4(8) = $42.05.
More can be learned about proportional relationships at https://brainly.com/question/10424180
#SPJ1
18. Simplify the complex fraction.
Answer:
B.
4*2=8
5*3=15
Answer:
A is 3\5; B is 8\3; C is 3\8; D is 5\3
Step-by-step explanation:
divide or multiply
i don't know if these are right bc I didn't do them in a long time.
0.82, 45/50 ,80%
14. The numbers ordered from lowest to highest are
Answer:
Step-by-step explanation:
0.82, 45/50 ,80%
14. The numbers ordered from lowest to highest are
0.82 = 0.82
45/50 = 0.9
80% = 4/5 = 0.8
80%0.8245/50An article is advertised for 262.50$ inclusive of 5% gst. find the original price
Answer: If we are looking at percentages you want to find what 262.50 is 5% of what number using the percentage rates equation, the original price would be, $525.00! Hope this helps!
in a study reported in the news, "researchers found that adults who used headphones with a screen, for more than one hour per day were at a 13% higher risk for hearing loss compared to those who used headphones with their screens less than one hour. the research team randomly surveyed 3,506 people in california about their screen/headphone behaviors, as well as information about ear infections and other noises a person may encounter at work and in daily life. participants were also given physical check-ups, including a hearing test and a physical exam of the ears and eyes. the increased likelihood of hearing loss remained, even after the researchers adjusted for risk factors such as construction noise and inner ear anatomy. the researchers found no increased risk among people who used headphones with a screen less than one hour per day.
Headphones that go over your ears can also damage your hearing if you use them too long or play music too loudly.
What is decibel explain with examples?
A decibel is a unit used to measure how loud something is using a logarithmic formula. It is also used to describe the degree of loudness. This is an example of when you listen to your music at the loudest volume that your iPod will allow.If you use over-the-ear headphones for an extended period of time or listen to loud music, you could end up damaging your hearing. They simply pose less of a risk than earphones do: The level of a sound can be increased by 6 to 9 decibels when the source is inside your ear canal, which can result in some major issues.Learn more about decibel
brainly.com/question/26848451
#SPJ4
The angle shown has the same measure as an angle drawn on paper. Order the steps for copying the angle from the paper using a compass and straightedge.
The order of the steps for copying the angle from the paper using a compass and a straight edge are;
5. Label the original angle as ‹A. On a separate piece of paper, draw a horizontal ray directed to the right, using the straight edge. Label the left endpoint D
4. Draw an arc centered at the vertex A that passes through both sides of ‹A using the compass. Label the points of intersection B and C.
1. Using the same compass setting, draw an arc centered at point D that intersects the ray and looks like the arc through B and C. Label the intersection of the arc and the ray as E.
3. Adjust the compass to the length BC. Draw an arc with radius BC centered at point E that intersects the arc through E. Label the point of intersection F.
2. Draw [tex] \overrightarrow{DF} [/tex]. You now have [tex] \angle A \cong \angle D [/tex]
How can the order of copying an angle be found?The steps for copying an angle includes;
Drawing a line segment on which the angle is to be copied, and label the endpoint as DDrawing an arc centered on the vertex, A, of the original angle, to intersect with the rays of the angle at B and C.With the same compass width, place the compass at D and draw an arc to intersect the ray from D at point E.With radius BC draw an arc from point E intersecting the arc drawn through E at FJoin point D to F to complete the construction of a copy of ‹A, such that, [tex] \angle A \cong \angle D [/tex]The order of the steps based on the appearance of the step in the question are therefore;
Step 5 → Step 4 → Step 1 → Step 3 → Step 2Learn more about how to perform geometric construction here:
https://brainly.com/question/24753621
#SPJ1
25 points plus brainliest
Answer:
The answer is C.
(0,4) and (3,0)
Step-by-step explanation:
To find the x, substitute 0 to the y.
* 4x + 3(0) = 12
> 4x = 12
> x = 3 (3,0)
To the y, substitute 0 to the x.
* 4(0) + 3y = 12
> 3y = 12
> y = 4 (0,4)
I hope you get this right!
Answer:
(0,4) and (3,0)
Step-by-step explanation:
Hope this helps :D
Find the quotients. Answer as whole numbers or fractions.
2/5 ÷ 3/4 =
9/4 ÷ 3/4 =
5/7 ÷ (-1/-3) =
(whole fraction is negative)
-5/3 ÷ 1/6 =
if its only ‘-‘ at the numerator that means only the numerator is negative )
Answer:
ANSWERS
1st Question: 8/15
2nd Question: 3
3rd Question: -2 1/7
4th Question: -10
Used a Calculator :3 hope it helps
In the relationship y=3x, if x is reduced by 1/3, how will y change? Responses It will triple.
If x is reduced by 1/3, 3x will be reduced by 1/3 x 3 = 1
Because y = 3x, y will also be reduced by 1.
write an equation of the line passing through the point (5, -6) that is parallel to the line y=-x-5.
The equation of the line is y+x+1=0.
It is required to find the equation of the line.
What is line?A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
The given line is
y=-x-5.
Slope of line
y+x-5=0
We have to find the equation of the line.
According to given question we have
Slope =-1
Thus the slope of the required line is
-1
The point (5, -6)
The equation of the line is
y+6=-1(x−5)
=>y+6=-x+5
=>y+x+1=0
Therefore, the equation of the line is y+x+1=0.
Learn more details about line here:
https://brainly.com/question/2696693
#SPJ1
Call bag contains six red tiles and 15 yellow towels. lelia removes two red towels how many yellow tiles should she remove so that the ratio of red tiles to yellow towels in the bag stays equivalent to 6:15
5 yellow tiles should be removed.
The original ratio of red tiles to yellow tiles as per the question :Ratio = 6:15. Now, after removal of red tiles, the numerator of ratio will become = 6 - 2. The numerator of new ratio will be 4. For yellow tiles, let the number of yellow tiles removed be x. So, the denominator or new number of yellow tiles will be 15 - x.
Now, relating the two ratio -
6:15 = 4:(15 - x)
Performing cross-multiplication to find the value of x.
6 × (15 - x) = 4 × 15
Performing multiplication on both the Left Hand Side and Right Hand Side
90 - 6x = 60
6x = 90 - 60
Performing subtraction to find the value of x
6x = 30
x = [tex]\frac{30}{6}[/tex]
Performing division to find the value of x
x = 5
So, the number of yellow tiles to be removed is 5.
Learn more about problems on tiles -
https://brainly.com/question/27997130
#SPJ4
The complete question is -
A bag contains 6 red tiles and 15 yellow tiles. Lilia removes 2 red tiles. How many yellow tiles should she remove so that the ratio of red tiles to yellow tiles in the bag stays equivalent to 6 : 15?
Question 4 (1 point)
Choose all the terms in the expression
5x⁴ - 7x³ + x + 2
(below are multiple choice options)
5
5x⁴
-7x³
1
X
2
Answer: there are 4 terms and they are 5x^4, -7x^3, x, and 2
Step-by-step explanation:
PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT
Answer:
Option 3
Step-by-step explanation:
When y is positive, there is always increase.
Eliminate options 1 and 2.When y is negative, there is always decrease.
Eliminate option 4.A cube has a volume of 197 meters cubed (197 m3) What is the approximate value of one edge of the cube? The approximate value of one edge of the cube is meters. Round your answer to the nearest hundredth. What is the approximate area of one face of the cube? The approximate area of one face of the cube is meters. Round your answer to the nearest hundredth.
The edge length and area of the face of the cube are 5. 82 meters and 203 square meters respectively
How to determine the valueThe formuka for the volume of a cube is expressed as;
Volume = a^3
Where 'a' is the length of it's edge
From the information given, we have that the volume of the cube has a value of 197 cubic meters.
Now, substitute the value of the volume
We have;
197 = a^3
Take the cube root of both sides
a = 5. 82 meters
The formula for area of the face of a cube is given as;
Area = 6a ^2
Area = 6(5.82)^2
Area = 6(33. 85)
Area = 203 square meters
Thus, the edge length and area of the face of the cube are 5. 82 meters and 203 square meters respectively
Learn more about a cube here:
https://brainly.com/question/1972490
#SPJ1
andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26-mile marathon. she decides to add 2 miles each day to her distance until she achieves her goal. if she starts with 6 miles today, how many miles will she have run, in total, by the time she achieves her 26-mile goal?
If she starts with 6 miles today and add 2 miles each day to her distance until she achieves her goal and then she has to run 176 miles in total to achieve her 26 miles goal.
Given,
Total distance for the marathon = 26 miles
Distance she add each day =2
She starts with 6 miles
Then,
Equation of nth term in the arithmetic sequence
[tex]t_{n}=a+(n-1)d[/tex]
Substitute the values and find the value of n
26=6+(n-1)2
26=6+2n-2
26=4+2n
2n=22
n=11
To find the total distance she run to achieve her 26 miles goal, we have to apply the sum of n terms of arithmetic sequence,
[tex]S=\frac{n}{2}[2a+(n-1)d]\\ S=\frac{11}{2}[2(6)+(11-1)2]\\ S=\frac{11}{2}[12+20]\\ S=\frac{11}{2}[32]\\ S=176[/tex]
If she starts with 6 miles today and add 2 miles each day to her distance until she achieves her goal and then she has to run 176 miles in total to achieve her 26 miles goal.
Learn more about Arithmetic sequence here
brainly.com/question/20795790
#SPJ4
Graph the line with the equation y= - 1/2x + 7
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: 1^2
y-intercept: (0,7)
(XY)
(07)
(28)
HELP NEEDED ASAP/NOW......NO LINKS AND NO JOKING PLS
AUBSERD ANSWERS WILL BE REPORTED<<
1) If, while training for a marathon, you ran 64 miles in 2 4/5 months, how many miles did you run each month? (Assume you ran the same amount each month) Write your answer as a whole number, proper fraction, or mixed number in simplest form.
Answer:
22 6/7 miles========================
GivenTotal distance is 64 miles,Total time is 2 4/5 months.SolutionIn order to find the distance you run each month you need to divide the total distance by the number of months:
64 : 2 4/5 = 64 : 14/5 = 64 * 5/14 = 32*5/7 = 160/7 = 22 6/7 mileshelp me understand this
Answer:
2
Step-by-step explanation:
According to the table, when x changes 7 units, y will change 14 units
x y
-28 -54
-21. -40
-14 - 26
-7 - 12
0 2
y-intercept is where the line intersects y axis, which x = 0
so y-intercept is 2
help me pls !!! I’ll give good pts
Answer:
0.32×0.5=0.16
Solve the inequality and express your answer in interval notation.
x^2 + 12x +7 < 0
Solution:
B. [tex](-6-\sqrt{29},-6+\sqrt{29})[/tex]
Hope this helps! If so, lmk! Thanks and good luck!
Answer: (-6-[tex]\sqrt{29}[/tex], -6+[tex]\sqrt{29}[/tex]) ==> D
Step-by-step explanation:
x^2 + 12x +7 < 0
x^2+12x+36-29<0
(x+6)^2-29<0
(x+6)^2<29
x+6<[tex]\sqrt{29}[/tex]
x<-6+[tex]\sqrt{29}[/tex]
x+6>-[tex]\sqrt{29}[/tex]
x>-6-[tex]\sqrt{29}[/tex]
(-6-[tex]\sqrt{29}[/tex], -6+[tex]\sqrt{29}[/tex]) ==> D
-6-[tex]\sqrt{29}[/tex] and -6+[tex]\sqrt{29}[/tex] aren't included in the solution since if these values are plugged in to x^2 + 12x +7, the expression will equal 0. That's not supposed to happen. The expression is supposed to be LESS than 0.