What is the slope-intercept form of the linear equation 2x–8y=32 ?
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box. (Graph is on picture)
Which equation shows y=3/4x-5/2 in standard form?
A. 3x−4y=10
B. 3x−4y=−10
C. 4x−3y=10
D. 4x−3y=−10
Answers
1. The slope-intercept form of the linear equation [tex]\(2x - 8y = 32\)[/tex] is [tex]\(y = \frac{1}{4}x - 4\).[/tex]
2. The equation of the graphed line is [tex]\(y = -\frac{9}{8}x + 7\).[/tex]
3. The standard form of [tex]\(y = \frac{3}{4}x - \frac{5}{2}\)[/tex] is option A: [tex]\(3x - 4y = 10\).[/tex]
Let's break down the given information step by step:
1. Slope-Intercept Form of the Linear Equation:
- The given equation is 2x - 8y = 32.
- To express it in slope-intercept form (y = mx + b), we need to solve for y:
2x - 8y = 32
-8y = -2x + 32
[tex]y = \frac{1}{4}x - 4[/tex]
Therefore, the slope-intercept form of the given equation is [tex]\(y = \frac{1}{4}x - 4\)[/tex].
2. Equation of the Graphed Line:
- The graphed line has the equation [tex]\(y = -\frac{9}{8}x + 7\)[/tex].
3. Standard Form of [tex]\(y = \frac{3}{4}x - \frac{5}{2}\)[/tex]:
- We want to express [tex]\(y = \frac{3}{4}x - \frac{5}{2}\)[/tex] in standard form (Ax + By = C).
- Multiply both sides of the equation by 4 to get rid of fractions:
4y = 3x - 10
3x - 4y = 10
Therefore, the standard form of [tex]\(y = \frac{3}{4}x - \frac{5}{2}\) is \(3x - 4y = 10\)[/tex].
Given this information, the correct answer is A. 3x − 4y = 10.
Related Questions
According to the general equation for conditional probability, if P(A^B)=3/4 and P(B)=4/5, what is P(A B)?
Answers
0.96
Explanation:A rule of conditional probability states that
P(A∣B)=P(A∩B)P(B)
So in this case it would be:
P(A∣B)=4556=4⋅65⋅5=2425=0.96
15.3+1h=1.3−1h solve for h
Answers
There are 117 stuff members in your school. 1/3 of them are going away for the thanksgiving holiday. How many staff members are not traveling.
Answers
117/3 = 39
39*2 = 78
So, 39 members are going away for the Thanksgiving Holiday, and 78 will remain.
Staff members not travelling
=117-117×1/3
=117-39
=78
Please help for points 12 minutes help.
Answers
Please answer all the questions (a,b, and c)
Answers
Okay Each game costs $24.99 and Sandy wants 5.
24.99 × 5 ≈ 124.95 And your estimate should be $125
B. Sandy doesn't have enough money. She only has $115 and the games in total cost $124.95.
C. My estimate is higher because I rounded up.
Also, just for your safety, please don't take pictures of your school with your full name on it. Its a safety hazard. And I don't want anything to happen to you if there is a crazy person on here....
what is the equation of the line shown in this graph.
Answers
The ratio of boys to girls in the Science Club is 3:5. If there are 60 girls, how many boys are there?
A) 23
B) 36
C) 38
D) 45
Answers
15/3 = 5
5*5=25
This is because 5 x 12 is 60, and 3 x 12 is 36. Have a good day.
If a and b are any two real numbers, explain how you calculate the difference a - b. Be sure to include the following in your explanation.
(A) a description of the relationship between addition and subtraction
(B) how you can use a number line to help with the calculation
(C) how you can determine the sign of the result
Answers
- The number line allows us to interpret subtraction (or addition of a negative) geometrically; we can view it as a movement to the left on the number line with a distance equal to the number being subtracted.
- Lastly, the value of any expression a - b (where a and b are real numbers) is determined by the relative sizes of the numbers. If a > b, then a - b > 0 (a positive result). If b > a, then a - b < 0 (a negative result.
Josh walked a total of 5 miles today. First he walked 1 mile from his house to the park then he walked laps around the 3/4 mile loop trail at the park. Finally he walked back home. Howany laps did Josh walk around the trail?
Answers
Josh walked 4 laps around the trail.
To find out how many laps Josh walked around the trail, we first need to calculate the distance he walked from his house to the park and back, and then subtract that from the total distance.
Distance from home to park: Josh walked 1 mile from his house to the park.
Distance from park to home: He also walked 1 mile back home.
Now, let's calculate the total distance Josh walked around the trail:
Total distance walked = Total distance - (Distance from home to park + Distance from park to home)
Total distance walked = 5 miles - (1 mile + 1 mile)
= 5 miles - 2 miles
= 3 miles
Now, we know that Josh walked laps around a 3/4 mile loop trail, and he walked a total of 3 miles. To find out how many laps he walked, we divide the total distance by the distance of each lap:
Number of laps = Total distance / Distance per lap
= 3 miles / (3/4 mile)
= 3 miles * (4/3)
= 4 laps
So, Josh walked 4 laps around the trail.
The greater of 2 consecutive even integers is 18 less than 3 times the smaller integer. What is the greater integer?
Answers
3x-18 =x+2
2x-18 =2
2x = 20
x = 20/2 = 10
larger number is 12
Can someone please help me with this math problem?? Number 13
Answers
b. 0.5 x 0.5 = 0.25 in
c. 0.25 + 0.25 + 0.25 = 0.75 in
1/2x1/2=1/4 in.²
1-1/4=3/4 in²
x over 4 + 1 = -5 solve the equation
A. -2
B 16
C. 4
D. -24
My answer is C, please correct me if I'm wrong.
Answers
Hope this helps.
a jet takes 5 3/4 hours to fly 2,475 mi from new york city to los angeles. about how many hours will a jet flying at the same average rate take to fly 5,452 mi from los angeles to tokyo? Please explain using ratios.
Answers
Time = 5³/₄ hours
Distance = 2475 miles
Speed = Distance ÷ Time
= 2475 ÷ 5³/₄
= ⁹⁹⁰⁰/₂₃ = 430.43 miles/hour
Distance LA - Tokyo = 5452
Speed = 430.43 miles/hour
Time = Distance ÷ Speed
= 5452 ÷ 430.43
= 12.7 hours
Using ratios:
2475 miles ⇒ 5³/₄ hours
5452 miles ⇒ x hours
Find the multiplier ⇒ 5452 ÷ 2475 = 2.203
Then multiply 2.203 by 5³/₄ to get 12.7 hours
Addy has five times more blue marbles than red marbles. She has twice as many red marbles than green marbles. She has 6 red marbles. Which number sentence could be used to find the number of green marbles?
Answers
So I'm quite certain it's C.
Si S es el 150% de T, qué tanto por ciento de T es (S + T)?
Answers
If S is 150% of T, then to find what percentage (S + T) is of T, we calculate (S + T) / T * 100. By substituting S = 1.5T into the equation, we determine that (S + T) equals 250% of T.
Explanation:If S is the 150% of T, this implies that S is 1.5 times T (since 150% can be expressed as 1.5 in decimal form). To express S as a percentage of T, we can set up the equation S = 1.5T.
Now, we are asked to find what percentage of T is (S + T). To find this, we simply add S and T together: S + T = 1.5T + T = 2.5T. Now, to express this sum as a percentage of T, we divide the sum by T and then multiply by 100.
So, ((S + T) / T) * 100 = (2.5T / T) * 100 = 2.5 * 100 = 250%. Therefore, (S + T) is 250% of T.
To find the percentage that (S + T) is of T, we first need to find the value of S and T. The given information states that S is 150% of T. This means that S = 1.5T. To find (S + T), we substitute the value of S in terms of T: (1.5T + T) = 2.5T.
Now, to find the percentage that (S + T) is of T, we divide (S + T) by T and multiply by 100: ((2.5T / T) imes 100) = 250%.
Therefore, (S + T) is 250% of T.
Bill drove from Washington DC to Charlotte in 6.5 hours. What was his average speed in miles per hour?
Answers
The formula for speed is distance divided by time. We can easily do that with this equation:
404.9 / 6.5 = 62.2923077, or about 63 miles per hour.
Megan consumed 3.5 gallons of water in one day. How many milliliters are equal to 3.5 gallons, if 1 liter = 1,000 milliliters and 1 gallon = 3.785 liters?
A 1,324.75 milliliters
B 13,247.5 milliliters
C 132,475 milliliters
D 1,324,750 milliliters
Answers
1 gallon = 3.785 liters
3.5 * 3.785 = 13.2475 total liters
1 liter = 1000 milliliters
13.2475 * 1000 = 13,247.5 milliliters
Answer is B
Answer:
b
Step-by-step explanation:
hope this helped you!!
How can i do this? I don't quite understand "give an example of when it might be appropriate to estimate an answer rather than provide the exact answer" Thanks for your help
Answers
A class has 24 students. The teacher asks how many students in the class have pets and finds 5/8of the students have pets. Write a multiplication problem. How many students have pets?
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Find the percent increase for the given original and new quantities in parts a through c.
a. Original quantity: 100 New quantity: 106
b. Original quantity: 10 New quantity: 16
c. Original quantity: 50 New quantity: 56
a. Fill in the boxes to find the percent increase for the given quantities.
Amount of increase:
▼
100 minus 106100−106
106 minus 100106−100
equals=
nothing
Percent increase:
▼
100 divided by 100100÷100
100 divided by 6100÷6
106 divided by 100106÷100
100 divided by 106100÷106
6 divided by 1006÷100
equals=
nothing
equals=
nothing% increase
(Type integers or decimals.)
Answers
Answer:
Amount of Increase:
106-100= 6
Percent Increase:
6 divided by 100 , 0,06, and 6
Step-by-step explanation:
I couldnt put a division sign so i jsut but the word and yea hope that helps
The percent increases for the given quantities are 6%, 60%, and 12% respectively. To find these, subtract the original quantity from the new quantity to find the amount of increase, then divide this by the original quantity and multiply by 100.
Explanation:In order to find the percent increase, you can follow this formula:
Step 1: Subtract the original quantity from the new quantity. This gives you the amount of increase.Step 2: Divide the increase by the original quantity.Step 3: Multiply result by 100 to get the percent increase.Now, let's solve the questions :
a. Original Quantity: 100, New Quantity: 106
Amount of increase = 106 - 100 = 6
Percent increase = (6/100)*100 = 6%
b. Original Quantity: 10, New Quantity: 16
Amount of increase = 16 - 10 = 6
Percent increase = (6/10)*100 = 60%
c. Original Quantity: 50, New Quantity: 56
Amount of increase = 56 - 50 = 6
Percent increase = (6/50)*100 = 12%
Learn more about Percent Increase here:https://brainly.com/question/5449967
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Answers
whats the equivalent expressions by conbining like terms 5a+ 4+ 2a
Answers
what is 3/4 of 1/3 of a mile ???
Answers
The perimeter of a geometric figure is the sum of the lengths of its sides. If the perimeter of the pentagon to the right (five-sided figure) is 96 meters, find the length of each side. 2 of the sides= 2.5x
Answers
The length of each side of the pentagon is 19.2 meters.
Explanation:To find the length of each side of the pentagon, we need to divide the perimeter of the pentagon by 5, since a pentagon has 5 sides. If the perimeter is 96 meters, each side would have a length of 96/5 = 19.2 meters.
1.Write Paulo's time in standard notation
2.Miguel ran a marathon in 4 h and 16 min.Who ran the race in the shorter amount of time.Show your work.
HELP DONT ANSWERED IT JUST TO GET POINTS I NEED HELP THIS NEEDS TO BE TURNED IN @6
Answers
You have to convert 1.56x10^4 into a normal number so that is : 15600
Then you convert 15600 into hours and seconds:
15600/60=260
260/60=4.3recurring
4 hours and 3recurring seconds
So that means Miguel ran the race in a shorter amount of time.
The human body is 70% water on average. About how much water will be in a person that weighs 140 pounds?
Answers
I hope this was helpful, and if you need any more help, please let me know so I can further assist you.
what is 7/12 plus 1/4
Answers
Find common denominators.
12x1=12
4x3=12
Multiple 4 by 3 in the second fraction to make a common denominator. What you do to the denominator you do to the numerator, so 1x3=3 and 4x3=12
7/12+3/12=10/12
To put into lowest terms divide the numerator and denominator by 2, since they share a factor.
The answer is 5/6
Answer:
5/6
Step-by-step explanation:
the answer above is correct
Gordon read 18 pages of a book in 40 minutes. What was the unit rate per minute? Per hour?
Answers
What is the median of the following set of numbers? 15, 12, 18, 17, 13, 12, 12, 14, 15, 19
Answers
12, 12, 12, 13, 14, 15, 15, 17, 18, 19
If there are a number of different sounds being produced simultaneously, the resulting intensity is the sum of the individual intensities. How many decibels louder is the sound of quintuplets crying than the sound of one baby crying?
Answers
Δ L = level difference.
n = number of equal loud sound sources.
n = 5
10 × log10 5 = +6.9897 dB compared to the case that only one source is available.
The sound of quintuplets crying is 7 dB louder than the sound of one baby crying because a factor of five in intensity corresponds to a 7 dB increase in sound intensity level.
Explanation:The question asks how many decibels louder the sound of quintuplets crying would be compared to the sound of one baby crying. To calculate this, we need to understand that intercity levels in decibels (dB) are measured logarithmically. This means that for every ten-fold increase in intensity, the sound level goes up by 10 dB. We also know that a factor of five in intensity corresponds to an increase of 7 dB.
If one baby crying produces a certain sound intensity, then five babies (quintuplets) crying simultaneously would increase the intensity by a factor of five. Hence, the sound of quintuplets crying would be 7 dB louder than the sound of one baby crying, based on the given references.