Answer:
4.5 (4.5 units to the left of 0) Make sure to draw a solid dot over 4.5 and an arrow pointing in the right direction.
>= is the greater than or equal to symbol
Step-by-step explanation
1. Combine like terms- In this problem, the like terms are 1/2 and -3/4, so to move 1/2 over to the other side of the equation, we have to divide each side by 2/1, which is the same as multiplying each side by 2: -1/3x + 1/2 * 2 >= -3/4 * 2.
2. Separate the fraction from x- Now, we simply divide each side by -3/1, which is the same as multiplying each side as -3: -1/3x * -3 >= -3/2 * -3
3. Graph on the number line- We've found that x = 4.5. To check, substitute in 4.5 for the value of x: -1/3(4.5) + 1/2 >= -3/4. -1 >= -3/4 is a true inequality. To graph it on the number line, draw a solid dot over 4.5 and an arrow in the direction of the righthand side.
Mallory puts $1.00 in a jar. The following week, she puts 2 times that original amount in the jar. For each of the next six weeks, Mallory continues to double the amout of money she places in her savings jar each week.
Determine if the relationship is linear or nonlinear. Explain your choice using examples with ordered pairs. (week, amount)
We want to see if the relationship between the number of weeks and the money put in the jar is linear or not, we will see that this is not a linear equation (it is exponential).
So a linear relation is something like:
y = a*x + b
Note that for any value of x, an increase of 1 unit gives:
y = a*(x+ 1) + b = (a*x + b) + a
So for increases of 1 unit in the x-value, we have increases of "a" units on the y-value.
In the given situation we have:
In week 1 she puts $1.00 in the jar.In week 2 she puts $2.00 in the jar (now the jar has $3.00 in it)In week 3 she puts $4.00 in the jar (now the jar has $7.00 on it)In week 4 she puts $8.00 in the jar (now the jar has $15.00 on it)and so on.
Writing that as points we have:
(1, $1)
(2, $3)
(3, $7)
(4, $15)
Notice that for equal increases in the x-value, (increases of 1 unit) we don't equal increases in the y-value (first increases by $2, then by $4, etc...) So this is not a linear equation, this is actually exponential.
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The relationship of the ordered pair that represents Mallory savings is a nonlinear relationship.
Let x represents the number of weeks, and y represents the amount put in the jar, each week.
So, we have the following highlights for 6 weeks.
Week 1: (1, 1)Week 2: (2,2)Week 3: (3,4)Week 4: (4,8)Week 5: (5,16)Week 6: (6,32)The ordered pairs can then be represented as:
[tex](x,y) = (1,1)(2,2)(3,4)(4,8)(5,16)(6,32)[/tex]
As the x values increase, the y values increase too, but the y values do not increase at a constant rate.
This means that the relationship is not linear; it is an exponential relationship.
Hence, the relationship is a nonlinear relationship.
Read more about linear relationships at:
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reread lines 9-18. underline the parts of a bats body that humans also have. Study the image of the bat. How does showing body parts similar to a humans help you better understand a bats body? Support your answer with explicit textual evidence.
Answer:1/2 of an answer is zero answer.
Step-by-step explanation:
n is m% of what number?
Answer:
n
m
100
Step-by-step explanation:
n/m/100
n is divided by m%
m%=m/100
55x + 10 = 230
What is x?
Answer:
x = 4
Step-by-step explanation:
55x + 10 = 230
=> 55x = 230 - 10
=> 55x = 220
=> x = 4
Therefore, x = 4.
Hoped this helped.
Answer:
x= 4
Step-by-step explanation:
solving equation step-by-step.
55x + 10 = 230
Subtract 10 from both sides.
55x + 10 − 10 = 230 − 10
55x = 220
Divide both sides by 55.
55x/55 = 220/55
x= 4
Our Answer: x= 4
Glad to help :)
Marissa is biking with friends. Their distance traveled can be determined by the equation D = 13h, where D is the distance, in miles, and h is the number of hours spent biking. Identify the constant of proportionality.
Answer:
The 13 would be the constant.
Step-by-step explanation:
N'(-10,-15) is the image of N after a dilation with a scale factor of 5/4, centered at the origin. What are the coordinates of N?
When the point N is dilated, the coordinate of N changes to N'
The coordinate of point N is (8,12)
How to determine the coordinate of NThe given parameters are:
N' = (10,15)
k = 5/4
To calculate the coordinate of N, we make use of:
N * k = N'
So, we have:
N * 5/4 = (10,15)
Multiply both sides by 4
N * 5 = (40,60)
Divide both sides by 5
N = (8,12)
Hence, the coordinate of point N is (8,12)
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Rafi had a board that was 15 1/2 feet long. He cut three pieces off the board that are each 3 7/8 feet long. How much of the board is left?
Answer:
Step-by-step explanation:
To answer this question, first we need to figure out how much of the board Rafi cut off.
To do this, we need to multiply the length of each piece by the number of pieces he cut off.
3 7/8 = 3.875
3.875 * 3 = 11.625
Now, because we knew Rafi cut off 11.625 feet off of the board, we just need to subtract this length from the length of the entire board to find the remaining length.
15 1/2 = 15.5
15.5 - 11.625 = 3.875
There is 3.875 feet or 3 7/8 of the board left.
Which expression is equivalent to this expression? 3/4(4h – 6) A. 3h – 9/2 B. 4h + 9/2 C. 3h – 6 D. 4h + 6
Answer:
A. 3h – 9/2 B.
Step-by-step explanation:
What is the range of possible sizes for side x?
Answer:
dunno hahhhaha
Step-by-step explanation:
SImplify:
(2m)^5
Please help if possible :)
Consider the table, equation, and graph. Which of them represents a proportional relationship?
Answer:
A line that represents a proportional relationship passes through the origin, so these data are directly proportional.
Step-by-step explanation:
Who is in the game show?
Answer:
i Am bro
Step-by-step explanation:
PLEAS HELP ME I WILL GIVE 30 POINTS
Answer:
answer should be 0.166...
Step-by-step explanation:
i dont think this will help but i hope it does...
Grant mows lawns for extra money. He mows 9 lawns in 9 hours on Wednesday and 6 lawns In 6 hours on Saturday.
What is the constant of proportionality that relates the total number of lawns mowed, y, to the number of hours mowing lawns, x?
Answer:
the constant is 1. 9/9 is the same as 1. so 9hours over 9 lawns is 1.
how much water should be added to 5 gallons of 50% acid solution to get a 20% solution?
Answer:
7.5 gallons
Step-by-step explanation:
2.5/5+x=0.2
This question is based on the concept of solving an equation. Therefore, 7.5 gallons of water would be added to 5 gallons of 50% acid solution to get a 20% solution.
Given:
5 gallons of 50% acid solution to get a 20% solution.
According to question,
Let it be x gallons of water should be added to 5 gallons of 50% acid solution to get a 20% solution.
Now, forming the equation, we get,
0.50 ( 5 ) = 0.20 ( x + 5 )
Simplifying the equation.
We get,
2.5 = 0.2x + 1
1.5 = 0.2 x
x = 7.5
Therefore, 7.5 gallons of water would be added to 5 gallons of 50% acid solution to get a 20% solution.
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HELPPPPPP ASAP PLSPLSPLSPLSPLSPLSPLS
Half of the sum of a number n and 14 equals 5. What is the number n ?
n = 24
n = 12
n=−2
n=−4
Answer:
n = -4
Step-by-step explanation:
n+14/2 = 5
x2 x2
n + 14 = 10
-14 -14
n = -4
Write an equation in slope-intercept form for the line with slope -1/4 and -7 y-intercept. NO LINKS.
Answer: [tex]y = -\frac{1}{4}x - 7[/tex]
That equation is in slope intercept form y = mx+b
m = -1/4 is the slope
b = -7 is the y intercept
Someone help me with this please, I really need help and its due tmrw...PLEASE
Answer:
The number of hours a student should spend on their homework to expect a 94 on the quiz.
The eighth-grade class is planning a trip to Washington, D.C. this spring. They need a minimum of 75 people to attend in order to reserve buses. If one-third of the 8th-grade class plus 17 parent chaperones have signed up and this is enough to satisfy the requirement, how many students must be in the 8th-grade class?
X - how many students must be in the 8th-grade class
Answer:
There needs to be 174 Students in the 8th grade class.
Step-by-step explanation:
173(1/3) is 58
58+17=75
What is the distance between the points? Round to the nearest tenth if necessary.
A. 6.7
B. 7.1
C. 3.0
D. 9.0
Answer:
Step-by-step explanation:
A population of caribou in a forest grows at a rate of 3% every year. If there are currently 208 caribou, which function represents the number of caribou in the forest in t years?
Answer:
f(x)=208^0.3x
Step-by-step explanation:
Think of this as a graph. You start out with 208 caribou, which is your y intercept, as it is there when the growth is 0.
The generic formula fr an exponential equation is a^x.
A represents your initial value. In this case, its 208
x represents the growth. In this case, it's 0.3%.
Your equation should be f(x)=208^0.3x
Which of the following is true? (1 point)
|−4| < 3
|−4| < |3|
|−3| < −4
|−3| < |−4|
whoever is smart enough gets brainliest >:))
Ben earns $18 per hour. His job offers a 6.3% raise. After the raise, how much will Ben earn per hour?
look it up im sure someone will know
It wasn't all that bad. The snowmobile only needed towing out. From that incident, she owes them $42. How much is her total debt to her parents?
What is the probability of choosing a burrito with cheese and a taco or wrap with salsa??
Step-by-step explanation:
50/50 chance of choosing one or the other because there is only two options
When mom is doing cleaning on her own it takes 2 hours. When dad does cleaning, it takes 4 hours. How long will it take if both of them work together?
99 + 81 = 9(11 help eeeeeeeeeeeeeeee
Answer:
180?
Step-by-step explanation:
Amelia has 100$ in her savings account and plans on solving 20$ per week. Which equation is right?
1. y= 20x+100
2. y= 100x + 20
3. y=100x
4. y=20x
Answer: I think it is number 1. y=20x+100
Morgan has an 8 1/2 foot board that must be cut into boards that are feet long. How many of the smaller boards can he get from the 8 1/2 foot board?
Which of the following equations could you use to solve the problem?
x * 8 1/2 = 5/6
8 1/2 * x = 5/6
5/6 * 8 1/2 = x
8 1/2 / 5/6 = x
Answer:
8 1/2 / 5/6 = xStep-by-step explanation:
8 1/2 foot board to be cut into 5/6 feet boards.
Number of smaller boards is:
8 1/2 ÷ 5/6 = 17/2 ÷ 5/6 = 17/2 × 6/5 = 51 / 5 = 10 (the whole part)Correct equation is D
HELPPPPPP ASAP PLSPLSPLSPLSPLSPLSPLSPLSPLS
As a tornado approaches, the air temperature changes −8.2°F every hour.
Which value represents the change in air temperature over 1.6 hours?
−5.125°F
−6.6°F
−9.8°F
−13.12°F