To find the slope of a line that passes through the points (0,0) and (2,4), you need to find the rise over run, or the change in y over the change in x. To do this, you need to take both the y values and subtract one from the other, so in this case, subtract 4 from 0. This is your change in y, also known as the rise of your slope. Next you do the same for your x values, in this case you would subtract 2 from 0. This becomes your change in x, also known as the run of your slope. ( I included step by step equations below)
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{0-4}{0-2}[/tex] = [tex]\frac{-4}{-2}[/tex]
When you simplify your answer you get a slope of 2.
Hope this helps!
How do I plot this equation on the graph ?
Answer:
y = ¼x + 2
Step-by-step explanation:
x - 4y = -8
-x - x
__________
-4y = -x - 8
___ _____
-4 -4
y = ¼x + 2
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A hiking club charges $60 to join and $12 for each hiking trip. Write an expression to model the total
cost. Find the cost of six hikes.
Answer:
4,320 dollars. Expression is 60 × 12(6)
Answer:The trip will cost 132$
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Step-by-step explanation:60(to join) + 12(per hike)x6(hikes)
12 x 6 = 72 + 60 =132
The cost, C, of ground beef varies directly with its weight in ounces, W. If 16oz of ground beef cost $3.20, what is the equation that would allow you to find the cost of any weight of ground beef?
A. C=0.2w
B. C=3.2w
C. C=5w
D. C=8w
Answer:
The answer would be B.
Step-by-step explanation:
Which expression is equivalent to 34 ⋅ 3−9?
Answer:
93
Step-by-step explanation:
PEMDAS
parenthesis, exponents, multiplication, division, addition, subtraction
34 x 3 - 9
102 - 9
93
Answer:
93
Step-by-step explanation:
First we have to use pemdas
so we multiply
34*3=102
the we subtract
102-9=93
so 93 is your answer.
Zareen has 24 minutes to work on her math homework, and each problem is taking her 2/3 of a minute, on average, to complete. Which expression can be used to determine the number of math problems she will be able to complete in the time she has?
Answer is 24 divided by 2/3
Answer:
24 ÷ 2/3
Step-by-step explanation:
Solve A = a+b/2 for b
Answer:
Step-by-step explanation:
I'm not sure if the right side is [tex]\frac{a + b}{2}[/tex] or [tex]a + \frac{b}{2}[/tex], so I'll provide an answer for both:
[tex]A = \frac{a + b}{2}[/tex]
[tex]2A = a + b[/tex]
[tex]2A - a = b[/tex]
[tex]A = a + \frac{b}{2}[/tex]
[tex]A - a = \frac{b}{2}[/tex]
[tex]2(A - a) = b[/tex]
[tex]2A - 2a = b[/tex]
(3 x _) + (2 x 2)= 3x(5+2)
I don’t know how to get both sides the same
Cindy has 42 meters of fencing. She
plans to fence in a rectangular dog run
that is 6 meters wide.
[Remember, the formula for the
perimeter of a rectangle (the distance
around) is p = 2L + 2w, where L-
length and w = width.]
Answer:
15
Step-by-step explanation:
Evaluate the expression.
38 +16 - 12 - 2 - (302)
Enter your answer in the box.
Answer:
-262
Step-by-step explanation:
Evaluate Subtraction & Addition from right to left [or left to right, as long as you know what you are doing]:
38 + 16 - 12 - 2 - 302
|_______||____________|
[tex]44 - 316 = -262[/tex]
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Help me thank you!!!!!
Answer:
x= 31 degrees
Step-by-step explanation:
A triangle's angles add up to 180 degrees. Look at the 123, it's not part of the triangle. Subtract it from 180. You should get 57 degrees. Now, make an equation. You know it equals 180, so you add up all the sides like this: 57+92+x=180. After solving the equation, you should get 31 degrees.
If 12% of a number is 24, what is the number?
Answer:
The number is 200.
Step-by-step explanation:
12% of a number = 24
Let the number be x.
[tex]\frac{12}{100}[/tex] of x = 24
0.12x = 24
x = [tex]\frac{24}{0.12}[/tex] = 200
So the number (x) is 200.
the complementary angle of 45
Answer:
45°
Step-by-step explanation:
Complementary angles sum to 90°, thus
90° - 45° = 45° ← is the complement of 45°
A parcel has a mass of 500g. Calculate its weight. (Assume the gravitational field strength is 10N/kg).
Answer:5n
Step-by-step explanation:
Final answer:
The weight of a 500g parcel, with a gravitational field strength of 10 N/kg, can be calculated using the formula w = mg, giving a weight of 5 N.
Explanation:
To calculate the weight of a parcel with a mass of 500g (0.5 kg), we will use the formula for weight, which is w = mg, where w is the weight in newtons (N), m is the mass in kilograms (kg), and g is the gravitational field strength in newtons per kilogram (N/kg). Given that the gravitational field strength is 10 N/kg, the weight of the parcel can be calculated as follows:
First, convert the mass from grams to kilograms: 500g is equal to 0.5 kg.Next, use the formula w = mg with m = 0.5 kg and g = 10 N/kg.Calculate the weight: w = 0.5 kg × 10 N/kg = 5 N.Therefore, the weight of the parcel is 5 N.
What is the solution to this system of equations?
Answer:
First choice.
Step-by-step explanation:
You could plug in the choices to see which would make all the 3 equations true.
Let's start with (x=2,y=-6,z=1):
2x+y-z=-3
2(2)+-6-1=-3
4-6-1=-3
-2-1=-3
-3=-3 is true so the first choice satisfies the first equation.
5x-2y+2z=24
5(2)-2(-6)+2(1)=24
10+12+2=24
24=24 is true so the first choice satisfies the second equation.
3x-z=5
3(2)-1=5
6-1=5
5=5 is true so the first choice satisfies the third equation.
We don't have to go any further since we found the solution.
---------Another way.
Multiply the first equation by 2 and add equation 1 and equation 2 together.
2(2x+y-z=-3)
4x+2y-2z=-6 is the first equation multiplied by 2.
5x-2y+2z=24
----------------------Add the equations together:
9x+0+0=18
9x=18
Divide both sides by 9:
x=18/9
x=2
Using the third equation along with x=2 we can find z.
3x-z=5 with x=2:
3(2)-z=5
6-z=5
Add z on both sides:
6=5+z
Subtract 5 on both sides:
1=z
Now using the first equation along with 2x+y-z=-3 with x=2 and z=1:
2(2)+y-1=-3
4+y-1=-3
3+y=-3
Subtract 3 on both sides:
y=-6
So the solution is (x=2,y=-6,z=1).
Mr. Smith has a super-sized bag of Gummy Bears. He goes to eat from the bag of Gummy bears which has 300 Gummy Bears in it. Mr. Smith eats 20 Gummy Bears every 3 minutes. Write an equation to model the number of Gummy Bears in his bag.
Answer:
[tex]\frac{20}{3} x=300[/tex]
Step-by-step explanation:
Given that the bag has 300 Gummy Bears and Mr.Smith eats 20 Gummy Bears every 3 minutes, then;
Lets assume x time taken to finish all Gummy Bears in the bag, then
Given in the question that
3 minutes =20 Gummy Bears
? minutes=300 gummy Bears
Perform cross-multiplication
[tex]=\frac{300*3}{20} =45minutes[/tex]
This means after 45 minutes the bag of Gummy Bears will be empty.
The equation to model the number of Gummy Bears in the bag will be;
[tex]\frac{20}{3} x=300[/tex]
Answer:
[tex]600-\frac{20}{3}\text{x}[/tex]
Step-by-step explanation:
Given: Mr. Smith has a super-sized bag of Gummy Bears. He goes to eat from the bag of Gummy bears which has 300 Gummy Bears in it. Mr. Smith eats 20 Gummy Bears every 3 minutes.
To Do: Write an equation to model the number of Gummy Bears in his bag.
Solution: Total Number of Gummy bears in Mr. Smith's super-sized bag =[tex]300[/tex]
Number of Gummy bears eaten by Mr. Smith in every 3 minutes = [tex]20[/tex]
Number of Gummy bears eaten by Mr. Smith in every in minutes= [tex]\frac{20}{3}[/tex]
Now,
The number of Gummy bears in his bag after [tex]\text{x}[/tex] minutes is
=[tex]600-\frac{20}{3}\text{x}[/tex]
The equation for number of gummy bears in Mr. Smith's bag after [tex]\text{x}[/tex] minutes is
[tex]600-\frac{20}{3}\text{x}[/tex]
PLZ HELP! ASAP 25 POINTS! AND BRAINLEST!!!
Add 113+(−56) using the number line. Select the location on the number line to plot the sum. -2 -12 3 -11 3 -1 -2 3 -1 3 0 1 3 2 3 1 11 3 12 3 2
THE Answer is 67
Step-by-step explanation:
Answer:
The Correct Answer Is 57
Step-by-step explanation:
According To Research
=113+(-56)
=113-56
=57
Ms. Handler walks to work at an average speed of 5 km per hour. if she increases her speed to 6 kilometers per hour she will save 10 minutes.
Find the distance she walks
Answer:
The distance she walks is 5 km
Step-by-step explanation:
Let
x -----> the distance in kilometers
y ----> the time in hours
we know that the speed is equal to divide the distance by the time
Average speed of 5 km/h
[tex]5=\frac{x}{y}[/tex]
[tex]y=\frac{x}{5}[/tex] -----> equation A
Average speed of 6 km/h
convert 10 minutes to hours
[tex]10\ min=10/60=1/6\ h[/tex]
[tex]6=\frac{x}{y-\frac{1}{6}}[/tex] ----> equation B
Solve the system by graphing
The solution is the intersection point both graphs
The solution is the point (5,1)
see the attached figure
therefore
The distance she walks is 5 km
Verify
Average speed of 5 km/h
[tex]y=\frac{5}{5}=1\ h=(1)*60=60\ min[/tex]
Average speed of 6 km/h
[tex]y=\frac{5}{6}\ h=\frac{5}{6}*60=50\ min[/tex]
The difference is the time she will save
[tex]60\ min-50\ min=10\ min[/tex] ----> is correct
To find the distance Ms. Handler walks, we can set up a proportion and solve for the variable d. The distance is found to be 5 kilometers.
Explanation:To solve this problem, we can set up a proportion between the distance Ms. Handler walks and the time it takes her at each speed.
Let's say the distance she walks is d kilometers. At a speed of 5 km/h, the time it takes her to walk the distance is d/5 hours. At a speed of 6 km/h, the time it takes her is d/6 hours.
We can then set up the following proportion:
d/5 = d/6 + 10/60
To simplify the equation, we can multiply both sides by 30 to get rid of the denominators:
6d = 5d + 5
Simplifying further, we get:
d = 5
Therefore, the distance Ms. Handler walks is 5 kilometers.
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"the quotient of y and
8 “
Answer:
The expression of that is y/8
Step-by-step explanation:
Quotient always refers to division, so we know we are dividing.
This is the expression:
y÷8
15 points
What is the value of x in the equation ?
StartFraction one-half EndFraction left-parenthesis n minus 4 right-parenthesis minus 3 equals 3 minus left-parenthesis 2 n plus 3 right-parenthesis.
2
13
Answer:
x=2
Step-by-step explanation:
isolate the variable by dividing each side by factors that dont contain the variable
Answer:
the answer is C (2)
Step-by-step explanation:
The sum of two numbers is 15 and their product is 54.What are the two numbers?
Alexis left her house at 7:45 p.m. to go shopping for clothes. She returned at 10:30 p.m.
a) express the time in hours that Alexis spent away for home.
Alexis spent 2 hours and 45 minutes away from home, which is equivalent to 2.75 hours.
Explanation:To calculate how long Alexis spent away from home, we need to find the difference between the time she left and the time she returned. She left her house at 7:45 p.m. and returned at 10:30 p.m.
First, we'll convert both times to a 24-hour format to make it easier to compute the time difference. The time Alexis left remains the same as 19:45 (since p.m. times are already in the second half of a 24-hour day), and the time she came back is 22:30.
Next, we subtract the time Alexis left from the time she returned:
22:30
-19:45
______
The difference in the minutes column is 30 - 45, which would be negative, so we need to borrow an hour from the hours column.
22:30
-19:45
______
Convert the borrowed hour into 60 minutes and add to the 30 minutes: 60 + 30 = 90 minutes.
21:90
-19:45
______
Now we can subtract the minutes:
90 - 45 = 45 minutes.
And subtract the hours:
21 - 19 = 2 hours.
Therefore, Alexis spent 2 hours and 45 minutes away from home.
To express this time purely in hours, we convert 45 minutes into hours by dividing by 60:
45 minutes ÷ 60 minutes per hour = 0.75 hours.
Adding this to the 2 hours, we find that Alexis was away from home for 2.75 hours.
Final answer:
Alexis was away from home for 2 hours and 45 minutes, which is equivalent to 2.75 hours. The calculation involves subtracting the time she left from the time she returned and converting minutes to hours for an accurate measure.
Explanation:
The student is asking how to calculate the time Alexis spent away from home while she went shopping for clothes. To solve this, we need to calculate the difference in time between when she left and when she returned.
Alexis left her house at 7:45 p.m. and returned at 10:30 p.m.. To find the number of hours she spent away from home, we can follow these steps:
Convert the times into a 24-hour format if necessary, but here it's not required as both times are in the p.m.
Subtract the start time from the end time.
In this case, 10:30 p.m. is the same as 22:30 in a 24-hour format, and 7:45 p.m. is the same as 19:45. So,
22:30 (End Time)
- 19:45 (Start Time)
----
We have a difference of 2 hours and 45 minutes. To express this time purely in hours, we convert 45 minutes to a decimal by dividing by 60 (since there are 60 minutes in an hour).
45 minutes / 60 = 0.75 hours
Therefore, Alexis was away for 2.75 hours.
Find the slope of the lines passing through th points (-9,-3)and (7,-7)
Answer:
slope = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 9, - 3) and (x₂, y₂ ) = (7, - 7)
m = [tex]\frac{-7+3}{7+9}[/tex] = [tex]\frac{-4}{16}[/tex] = - [tex]\frac{1}{4}[/tex]
Answer:
-¼
Step-by-step explanation:
-y₁ + y₂\-x₁ + x₂ = m
[tex] \frac{3 - 7}{9 + 7} = - \frac{4}{16} = -\frac{1}{4} [/tex]
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Write each fraction or mixed number as a decimal 7/20
Answer:
[tex]\large\boxed{\dfrac{7}{20}=0.35}[/tex]
Step-by-step explanation:
[tex]\bold{METHOD\ 1}\\\\\dfrac{7}{20}=7:20=0.35\\\\\text{Use a calculator or long division}\\\\.\qquad\underline{0.35}\\.\ \ 20|7\\.\ \ \ \ \ \underline{\ 0}\\.\qquad70\\.\ \ \ \ \ \underline{\ 60}\\.\qquad100\\.\qquad\underline{100}\\.\qquad==[/tex]
[tex]\bold{METHOD\ 2}\\\\\dfrac{7}{20}=\dfrac{7\cdot5}{20\cdot5}=\dfrac{35}{100}=0.35[/tex]
Help me I’m struggling
Get photomath it can help with problems like that :)
Answer:
3/4
Step-by-step explanation:
because if he has 3 lemons and 1 lime add 3 + 1= 4 and there is 3 lemons it will be 3/4
Please help me with this equation
Answer: The answer is 2 10/27
find the least common denominator of the fractions 1/10 and 2/4
Answer:
LCD = 20
Step-by-step explanation:
1/10 = 2/20
2/4 = 10/20
The least common denominator (LCD) of fractions 1/10 and 2/4 (which simplifies to 1/2) is 10. We obtain this by finding the smallest multiple of the largest denominator, 10, that the other denominator (2) can divide.
Explanation:Looking to find the least common denominator of the fractions 1/10 and 2/4, we first need to simplify the fractions to their lowest terms. The fraction 2/4 can be simplified to 1/2. So now we are finding the least common denominator of 1/10 and 1/2.
Define the least common denominator (LCD): It's the smallest multiple that is exactly divisible by every denominator of the set of fractions.
Start from the largest denominator, which is 10 in this case, and list its multiples: 10, 20, 30, etc. Select the smallest multiple that the other denominator(s) (i.e. 2) can divide. You notice that 2 can divide 10, so the least common denominator of these fractions is 10.
So, the answer is that the least common denominator of the fractions 1/10 and 2/4 (or 1/10 and 1/2 in simplest form) is 10. This step-by-step explanation should provide you with an understanding of how to find the least common denominator of two fractions.
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What is 4/16 simplify
Answer:1/4
Step-by-step explanation: divide both numbers by 4
[tex]\huge\boxed{\frac{1}{4}}[/tex]
You can simplify a fraction by dividing its numerator and denominator both by a factor from both of the numbers.
In this case, [tex]4[/tex] is a factor of the numerator and the denominator.
Divide both the numerator and the denominator by [tex]4[/tex].
[tex]\dfrac{4}{16} \div \dfrac{4}{4} = \dfrac{4 \div 4}{16 \div 4} = \boxed{\dfrac{1}{4}}[/tex]
How do you graph h=6-0.6j
Step-by-step explanation:
Don't let the variables scare you. they are just an unknown value, that we can call anything we want. So, we can say y=6-0.6x. If you want an easier equation, just use communitive property to change it to
[tex] y = - \frac{3}{5} x + 6[/tex]
simplify 4b^ 5 +10b^5
Answer:
14b^5
Step-by-step explanation:
4b^ 5 +10b^5 (factor out common factor b^5)
= (4+10) b^5
= 14b^5
Sophie earns $18 for working 2 1/4 hours how much can she earn per hour
Sophie earns $8.00 per hour. To find this, dividends of $18 by 2.25, representing the total hours worked, result in the per-hour earning.
To calculate how much Sophie earns per hour, we need to divide her total earnings by the total number of hours she worked. Sophie earns $18 over 2 1/4 hours.
First, we express the hours worked as an improper fraction or a decimal for ease of calculation. Since 1/4 hour is equivalent to 15 minutes, and 2 1/4 hours are the same as 2 + 0.25 which equals 2.25 hours. Now we divide $18 by 2.25 hours to find the hourly wage:
Hourly Wage = Total Earnings / Total Hours Worked
Hourly Wage = $18 / 2.25 hours
Hourly Wage = $8.00 per hour
So, Sophie earns $8.00 per hour.