y=2x+0.5 I have to solve this using a weird table and then I have to graph it. How?
Answers
To solve the equation y=2x+0.5, prepare a table of (x, y) values. You plug in sample x values into the equation to obtain corresponding y values. Plot the (x, y) pairs in a graph and draw a line through the points.
Explanation:To solve the equation y=2x+0.5 and graph it, you need to create a table of (x,y) values.
First, choose some values for x, such as -2, -1, 0, 1, 2. For example, for x = -2, you would plug this value into the equation to find y. Doing the operation y=2*(-2)+0.5, we find that y = -4 + 0.5, so when x = -2, y = -4.5.
Repeat this process for each x value you chose. Once you have a table of values, you can plot these data pairs in a graph, marking the x and y coordinates for each pair. These points should line up and you can draw a line through them. This will be the graph for y = 2x + 0.5.
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Related Questions
Emerson needs to divide 48 packages of stickers among 6 friends. there are 52 stickers in each package. how many stickers will each friend get? write an equation to solve the problem.
Answers
Because there are 52 stickers in each package, you have to divide the number of stickers by 8 (number of packages per friend)
8x52= 416
each friend receives 416 stickers
if the spinner is spun 60 times, how many times can you expect the spinner to land on 3
Answers
The spinner will land on 3 is 10 times.
What is a spinner?The probability of the spinner landing on a number is equal to the fraction of the spinner that this number occupies.
Given that, a spinner is spun 60 times, we need to find that, how many times the spinner to land on 3,
Let us assume that there are 6 equal divisions in the spinner,
So, the chance of landing on 3 for the first time = 1/6
So, for 60 times = 1/6 x 60 = 10
Hence, the spinner will land on 3 is 10 times.
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Kim is 4 years older than one third the age of her sister. Kim is at least 9 years old. How old could her sister be?
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What is the measure of ∠C?
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The measure of ∠C in the triangle, ΔCDE, in the given figure, is 43°.
A triangle is a geometric figure with three sides, three angles, and three vertices. The sum of all the angles of a triangle is 180°. It is one of the most elementary geometric figures.
As it is known that the sum of all angles of a triangle is 180°,
∠C + ∠D + ∠E = 180°
∠C = 180° - ∠D - ∠E
∠C = 180° - 90° - 47°
∠C = 180° - 137°
∠C = 43°
Thus, the measure of ∠C is 43°.
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If your pencil is 20 cm long how many millimeters is it
Answers
[tex]\frac{20}{1} \frac{cm}{1} * \frac{10}{1}\frac{millimeters}{cm} = 200 millimeters[/tex]
Therefore the solution is 200 millimeters.
To convert a pencil length of 20 centimeters to millimeters, multiply by 10, resulting in 200 millimeters.
If your pencil is 20 cm long, to convert this measurement to millimeters, you simply need to use the conversion factor that there are 10 millimeters in 1 centimeter. So, you multiply the length in centimeters by 10 to get the length in millimeters.
20 cm times 10 mm/cm = 200 mm
Therefore, a pencil that is 20 cm long is 200 millimeters long.
a truck carried 31/3 tons of sand, but lost 1/4 ton along the way. How many tons of sand were delivered?
Answers
So, we multiply 31/3 by 4 to get 124/12
and we multiply 1/4 by 3 to get 3/12
Now we subtract the amount lost from the original amount
124/12 - 3/12 = 121/12
So, 121/12 tons of sand were delivered.
Clara estimates that the length of a hiking trail is 5.75 km. She later learns that its actual length is 6.25 km. What is the percent error in Clara's estimate, to the nearest tenth of a percent? 7.7% 8.0% 11.0% 11.5%
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Answer:
Step-by-step explanation:
8.0%
7=6x-11, -2x-3y=-7
What's the answer?
Answers
7=6x-11 ---> add 11 to each side
7+11=6x-11+11
18=6x ---> divide by 6
3=x
-2x-3y=-7 ---> substitute 3 for x
-2(3)-3y=-7 ---> multiply -2 and 3
-6-3y=-7 ---> add 6 to each side
-6-3y+6=-7+6
-3y=-1 ---> divide by -3
y=[tex] \frac{1}{3} [/tex]
What to the power of four equals 256
Answers
In any given equation, if y=b^x, then logbase(b) of y = x
Due to a property of logarithms, you can also write logbase(b) of y as logy/logb.
The "log" button can be found easily on most modern calculators, so you can follow along too.
Anyways, though, our problem says that 256 = b^4
You can apply logarithms, but an easier way to do this is to square-root 256 twice.
sqrt256->16
sqrt16->4
4^4 is 256. Let's check, shall we?
4*4 is 16. That *4 is 64. 64 *4 is... 256!
Those are just a couple ways to go about it, though.
A scrapyard had 200 tons of recycled steel. They sold 15 tons per day for several days. If there are fewer than 80 tons left at the scrapyard, how many days, d have passed?
A. Write and inequality to answer this question
B. Solve the inequality
Answers
total-sold<80
sold=15d
200-15d<80
B.
200-15d<80
minus 200 both sides
-15d<-120
divide both sides by -15, don't forget to flip sign
d>8
The inequality represent the given situation is 200-15d<80.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, a scrapyard had 200 tons of recycled steel.
They sold 15 tons per day for several days.
Let the number of days be d.
Here, the inequality is 200-15d<80
Add 15d on both the sides of an inequality, we get
200-15d+15d<80+15d
200<80+15d
Subtract 80 on both the sides of an inequality, we get
120<15d
Divide 15 on both the sides of an inequality, we get
d>8
Therefore, the inequality represent the given situation is 200-15d<80.
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You earn (4x+12) points after completing X levels of a video game and then lose (2x-5) points. Write an expression that represents the total number of points you have now.
Answers
2x - 5
-----------
6x+7
does this help at all?
To make a certain type of dress it takes 2 1/5 yards of material how many yards of materials would it take to make a dozen of those dresses
Answers
1. Use the graph to make a prediction for the amount of pay received if the sales are $150.
About $70
About $90
About $80
About $100
2. Use the graph to make a prediction of the number of gallons left in the tank if you drove 150 miles.
9
8
11
Answers
Answer:
$90
about 10
Step-by-step explanation:
I took the test
Sania cut two pieces of string for a craft project. The first piece was 4.07 meters long. The second piece was 6.35 meters long.
What would the total length of the two pieces be if she lined them up end to end?
Enter your answer in the box.
Answers
Answer:
10.42
Step-by-step explanation:
The area of a square living room is 256 ft2256 ft2. Which is the length of the room?
Answers
The length of the square living room is 16 feet.
To find the length of the square living room, we need to calculate the square root of the area.
Given:
Area of the square living room = 256 ft²
Let's denote the length of one side of the square as "s".
The formula for the area of a square is:
Area = side length x side length
256 = s x s
256 = s²
To find the length of the room (s), we take the square root of 256:
s = √256
s = 16
Therefore, the length of the square living room is 16 feet.
The probable question may be:
The area of a square living room is 256 ft^2. Which is the length of the room?
Write a description of how a diagram can help you solve 2x40
Answers
one cabinet measures 3 feet by 2.5 feet by 5 feet. a second measures 4 feet by 3.5 feet by 4.5 which volume is greater explain
Answers
The second cabinet has a greater volume of 63 cubic feet compared to the first cabinet's volume of 37.5 cubic feet.
To compare the volume of the two cabinets, we will calculate the volume for each by multiplying the length, width, and height.
For the first cabinet, the volume is 3 feet x 2.5 feet x 5 feet, which is 37.5 cubic feet.
3 feet x 2.5 feet x 5 feet = 37.5 cubic feet
The second cabinet has a volume of 4 feet x 3.5 feet x 4.5 feet, which equals 63 cubic feet.
4 feet x 3.5 feet x 4.5 feet = 63 cubic feet
Therefore, the second cabinet has a greater volume than the first.
Rhea arrived at the mall at 3:45 pm she spent 45 minutes having lunch and then she shopped for 55 minutes before leaving the mall. How much time disregard spend at the mall
Answers
Rhea spent 1 hour and 40 minutes at the mall.
Explanation:To find the total time Rhea spent at the mall, we need to add the time she spent having lunch and the time she spent shopping. Rhea spent 45 minutes having lunch and 55 minutes shopping, so the total time she spent at the mall is 45 minutes + 55 minutes = 100 minutes. Since there are 60 minutes in 1 hour, we can convert 100 minutes to hours by dividing by 60. 100 minutes ÷ 60 = 1 hour and 40 minutes. Therefore, Rhea spent 1 hour and 40 minutes at the mall.
mrs.tim bought a dres prices at 98.25 of the sale tax is 6 percent what is the total amount she paid for the dress
Answers
4 1/2 divided by 2 3/8
Answers
9/2 ÷ 19/8
Then you flip the second fraction around
9/2 ÷ 8/19
Then you change ÷ to ×
9/2 × 8/19
And then multiply across!
72/38 = 1 34/38 = 1 17/19 (the final answer)
Hope this helps!
The fraction we get after dividing [tex]4\frac{1}{2}[/tex] by [tex]2\frac{3}{8}[/tex] = 36/19.
Here we have to divide,
[tex]4\frac{1}{2}[/tex] by [tex]2\frac{3}{8}[/tex]
Now we can write it into simple fraction we get,
[tex]4\frac{1}{2}[/tex] = 9/2
[tex]2\frac{3}{8}[/tex] = 19/8
Since we know that,
Dividing two fractions is equivalent to multiplying the first fraction by its reciprocal. The first step in splitting fractions is to get the reciprocal of the second fraction (reverse the numerator and denominator). Then, multiply the numerators.
Therefore,
9/2 ÷ 19/8 = 9/2 x 8/19
= (9x4)/19
= 36/19
Hence,
[tex]4\frac{1}{2}[/tex] by [tex]2\frac{3}{8}[/tex] = 36/19
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what is the answer of (-1/4 subtracted by 1/2) divided by (negative 4/7)
Answers
1/-4 - 1/2 * 7/-4 (divide then multiply)
1/-4 - 1 * 7 over 2 * -4 (multiply)
1/-4 - 7 over 2 * -4 (simplify 1 * 7 to 7)
1/-4 - 7/-8 (simplify 2 * -4 to -8)
1/-4 - (7/-8) (move the negative sign to the left)
1/-4 + 7/8 (simplify brackets)
5/8 (simplify).
The sum of two numbers is 83. If twice the larger number is added to three times the smaller number, the result is 197. Find the numbers.
Answers
solution
let assume the smaller to be y
let assume the larger number to be x
x + y = 83 ------------1
2x + 3y = 197...........2
using simultaneous equation
make x the subject of formular in equation 1
x=83 - y .................3
substitute equation 3 in equation 2
any where you see x replace it with 83-y in equation 2
2(83 - y) + 3y = 197
open the bracket by multiplying by 2 by the content of the bracket
166 - 2y + 3y = 197
-2y +3y = y
therefore:
166 + y = 197
collect like terms by taking 166 to the lefthand side of the equation
y = 197 - 166
y = 31.
substitute y in equation 2 above
x + 31 = 83
collect like terms by taking 31 to the lefthand side of the equation
x = 83 - 31
x = 52
X represent the larger number which is 52
Y represent the lsmaller number which is 31
what is equal to
2x+8-22x=-2
Answers
to find this you have to have the variable(s) in this case, x, on one side of the equation.
you need to combine like terms and also subtract 8.
2x+8-22x=-2
-8
2x-22x=-10
Combine like terms:
-20x=-10
Now divide by -20:
x=1/2
Your solution is:
x=1/2
At Al's catering service they often make a large batch of fruit salad. The recipe for the fruit salad requires 2 cups of apples for every 6 cups of strawberries.
Create a ratio table that compares the cups 2 cups of strawberries into shows the relationship between the two.
Answers
2:6
4:12
6:18
8:24
(Ans so on; Assuming that this is what it means)
if you multiply two decimals that are less than one can you predict whether the product will be less than or greater than either of the factors? Explain
Answers
Since the decimals are adding up, you will move the total amount of decimal point to the left which makes the product less than the other two factors.
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A tank starts out with 860 gallons of liquid. A pump adds liquid to the tank at a constant rate. After 8 hours, the tank contains 1,036 gallons. How many gallons of liquid were pumped per hour?
18
22
176
237
Answers
Answer:
B. 22
Step-by-step explanation:
Let x represent number of gallons per hour.
We have been given that a pump adds liquid to the tank at a constant rate. The number of gallons added after 8 hours would be [tex]8x[/tex].
We are also told that the tank starts out with 860 gallons of liquid. So total amount of liquid after 8 hours would be [tex]8x+860[/tex].
The total amount of liquid in the tank after 8 hours is 1,036, so we can represent this information in an equation as:
[tex]8x+860=1,036[/tex]
[tex]8x+860-860=1,036-860[/tex]
[tex]8x=176[/tex]
[tex]\frac{8x}{8}=\frac{176}{8}[/tex]
[tex]x=22[/tex]
Therefore, 22 gallons of liquid were pumped per hour.
cole had 3/4 hour of free time before dinner.He spent 2/3 of the time playing the guitar.How lonb did he play the guitar
Answers
Cole have 45 minutes of free time and he play the guitar for 30 minutes. That is 2/3 of free time.
How to find time ?Because the number of minutes in an hour is fixed at 60, you can divide any number of minutes by 60 to get a fraction of an hour. For example, 10 minutes equals 10/60 = 1/6 hour, and 24 minutes equals 24/60 = 6/15 hour.
For example, 375 minutes divided by 60 equals 6.25 hours. Multiply that fraction of an hour by 60 to get it back to minutes. In this case,. 25 x 60 = 15, implying that 375 minutes equals 6 hours and 15 minutes.
Although numbers such as 1/6 and 6/15 of an hour are accurate, they are not always easy to compare to other time measurements.
1 hour = 60 minutes meaning 1 whole,
3/4 of an hour = 45 minutes
so 2/3 of 45 minutes = 30 minutes
15+15+15= 45
so 15 + 15 = 30 minutes
He play the guitar for 30 minutes
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Omar is on a diet to lose some weight. He is losing weight at a rate of 2 pounds per week. After 6 weeks, his weight is 204 pounds. Write and solve a linear equation to find how many weeks it will take Omar to reach his target wait of 180 pounds.
Answers
24/2= 12
12 weeks
180pounds= -2x+204pounds
2x=24 pounds
x=12 weeks
Hence, the linear equation of number of weeks required Omar to reach his target wait of [tex]180[/tex] pounds is [tex]x=12[/tex].
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
Omar is on a diet to lose some weight. He is losing weight at a rate of two pounds per week. After six weeks, his weight is [tex]204[/tex] pounds.
So,
[tex]204-180=24[/tex]
[tex]\frac{24}{2}= 12[/tex]
It would be [tex]12[/tex] weeks.
Then the equation is
[tex]180[/tex] pounds is [tex](-2x+204)[/tex] pounds
[tex]2x=24[/tex]pounds
[tex]x=12[/tex] weeks
Hence, the linear equation of number of weeks required Omar to reach his target wait of [tex]180[/tex] pounds is [tex]x=12[/tex].
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What to the power of 3 equals 729
Answers
hope this helps.
To find what number to the power of 3 equals 729, we can experiment with cubes of small numbers. We quickly identify that 9 cubed (9×9×9) equals 729, which means 9 is the correct answer.
Explanation:The question is asking to find the number that, when cubed (raised to the power of 3), is equal to 729. This operation is also referred to as finding the cube root.
Firstly, let's investigate through experimentation. We know that cubing of exponentials involves raising a number to the power of three. For instance, 2 cubed is 2×2×2, which equals 8. Now, we're looking for a number that when cubed, results in 729.
If you try to cube smaller numbers, you'll see that cubing 8 gives us 512 and cubing 9 gives us 729. The cube of 9, written as 9×9×9, indeed equals 729. Therefore, 9 to the power of 3 equals 729.
When it comes to numbers that are not as straightforward, a calculator or understanding of cubing of exponentials would be necessary. However, in this case, through simple experimentation and knowledge of cube numbers, we have found that 9 is the number sought.
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What is the prime factorization of 5184 using exponents
Answers
and 3 to the 4th power
The prime factorization of 5184 using the exponent's rule would be,
5184 = 2⁶ × 3⁴
Given that,
The number 5184.
Used the concept of factorization which states that,
Prime factorization is a method to find the prime factors of a given number, say a composite number. These factors are nothing but prime numbers.
Now, the prime factorization of 5184 is,
5184 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3
By using the exponent's rule it can be written as,
5184 = 2⁶ × 3⁴
Therefore, the prime factorization of 5184 is, 2⁶ × 3⁴ as shown in figure.
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