Answer:
6=x
Step-by-step explanation:
2+x+1=2x-3
Combine like terms
x+3 = 2x-3
Subtract x from each side
x+3-x =2x-3-x
3 = x-3
Add 3 to each side
3+3 =x-3+3
6=x
Answer:
The value of variable 'x' is 6.
Step-by-step explanation:
Solving this problem entails of identifying the value for the variable in the equation. We can start by combing the like terms on the left side of the equation. The terms 2 and 1 are the only common terms so these will be the ones we combine and add.
2 + x + 1 = 2x - 3
(2 + 1) + x = 2x - 3
3 + x = 2x - 3
In this step we will use the subtraction property of equality. This means we need to subtract the term 'x' from both sides of the equation.
3 + x = 2x - 3
3 + x - x = 2x - x - 3
3 = x - 3
This next step involves a similar property to the one we used in the last step. It is known as the addition property of equality. This means we need to add 3 to both sides of the equation. Eventually, we will find the value of the variable.
3 = x - 3
3 + 3 = x - 3 + 3
6 = x
It's always best to represent the value of 'x' with 'x' displayed on the left side of the equation.
9 = x
x = 6
We have now reached the 'point of no return' or the point of the equation where we can no longer simplify it any further. This shows that the value of the variable is 6.
The graph of a function must be linear if it has what characteristic?
A.It passes through the origin
B.It crosses the x-axis more than once.
C.It crosses the y-axis exactly once
D.It has a constant slope.
Answer:
D. It has a constant slope.
Step-by-step explanation:
We have to find the characteristic which states that the graph of a function must be linear.
The four characteristics given in the question are;
A. It passes through the origin
B. It crosses the x-axis more than once.
C. It crosses the y-axis exactly once
D. It has a constant slope.
If we consider the first characteristic that it passes through the origin , then the graph of a function will not be linear because it will contain two variables.
If we consider the second characteristic that it crosses the x-axis more than once , then the graph of a function will not be linear because it will then be a parabola or a curve function and will not have a linear function.
If we consider the third characteristic that it crosses the y-axis exactly once , then the graph of a function will not be linear because it may cross the x-axis twice.
If we consider the fourth characteristic that it has a constant slope , then the graph of a function will be linear because it will not change it's form and will have a constant slope linear function.
Answer:
D.) It has a constant slope.
Step-by-step explanation:
It's right on edge.
A company rents out 13 food booths and 27 game booths at the county fair. The fee for a food booth
is $50 plus $7 per day. The fee for a game booth is $80 plus $9 per day. The fair lasts for d days, and
all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars,
that the company is paid. A
The expression is
Answer:
50+(7d*13)+80+(9d*27)
Step-by-step explanation:
So, there are 13 food booths and each food booth is $50 plus $7 per day.
There are 27 game booths and each game booth is $80 plus $9 per day.
Lets make a short equation for each of the booths.
50+(7d*13)
80+(9d*27)
Lets combine both of the sentences.
50+(7d*13)+80+(9d*27)
So, my expression would be 50+(7d*13)+80+(9d*27).
Harold, Clara, and Mark each chose a different lunch from three categories:
soup, salad, and sandwiches. Each ordered a different drink. Clara will
not eat sandwiches. Mark won't eat salad or bread. The person who had
the soup also had the iced tea. The person who had the sandwich also had
the milk.
a. Who drank the milk? How do you know?
b. One person ordered mineral water. What food did the water go with?
Explain.
Answer:
a) Harold
b) Clara
Step-by-step explanation:
Each person has chose a different lunch. Based on this context, it means no one can have the same lunch item.
A explanation)
Mark must eat soup since he doesn't eat bread (sandwich) or salads.Clara must eat salad since Mark is eating the soup and Clara doesn't eat sandwiches.Therefore, Harold must eat the only different lunch item; sandwich. Since Harold had the sandwich, he also has the milk.B explanation)
The person who had soup had iced tea; meaning Mark drank Iced Tea.The person who had the sandwich also had the milk; Harold drank milk.The only person missing a drink is Clara, so she ordered mineral water.On January 1, 2020 the high temperature was 63 degrees fahrenheit in Oakley, California. The low in the evening was -30 degrees. What is the difference between the two temperatures? (only type the number)
Answer:
93°F
Step-by-step explanation:
Difference between temperatures
= 63 -(- 30)
= 63 + 30
= 93°F
- 4x3 + 14x2 + 4x – 14
Answer:
-40
Step-by-step explanation:
Round the number 502.6439 to the underlined place. The underlined number is 3
........what’s the value of x?
Answer:
110
Step-by-step explanation:
Camille takes a rock-climbing
class. On her first outing,
she rappels down the side
of a boulder in three
equal descents. What
integer represent
Camille's change in
altitude in feet each
time she descends?
Elevation 165
Answer:
Step-by-step explanation:
165/3=55 feet
An integer that represents Camille's change in altitude in feet each time she descends = 55
What is rate of change?"It is the ratio of the amount of change over that interval to the corresponding change in the values."
For given example,
elevation = 165
she rappels down the side of a boulder in three equal descents.
n = 3
So, change in altitude in feet each time she descends would be,
165/3 = 55
Therefore, the integer that represents Camille's change in altitude in feet each time she descends = 55
Learn more about rate of change here:
https://brainly.com/question/13526771
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xplain the circumstances for which the interquartile range is the preferred measure of dispersion. What is an advantage that the standard deviation has over the interquartile range? Choose the correct answer below. A. The interquartile range is preferred when the data are bell shaped. An advantage of the standard deviation is that it is resistant to extreme values. B. The interquartile range is preferred when the data are bell shaped. An advantage of the standard deviation is that it increases as the dispersion of the data increases. C. The interquartile range is preferred when the data are not skewed or no have outliers. An advantage of the standard deviation is that it uses all the observations in its computation. D. The interquartile range is preferred when the data are skewed or have outliers. An advantage of the standard deviation is that it uses all the observations in its computation. E. The interquartile range is preferred when the distribution is symmetric. An advantage of the standard deviation is that it increases as the dispersion of the data increases. F. The interquartile range is preferred when the distribution is symmetric. An advantage of the standard deviation is that it is resistant to extreme values.
Answer: The interquartile range is preferred when the data are skewed or have outliers. An advantage of the standard deviation is that it uses all the observations in its computation.
Step-by-step explanation:
The interquartile range are resistant to outliers and can be used for data having glaring outliers.
Outliers are values that are too far away from the central value.
Interquartile range is a better option than standard deviation when there are a few extreme values and the distribution is skwed.
Simplify 7. 6 .2h. d.
Answer:
84hd
Step-by-step explanation:
Hope This Helps!
Answer:
84hd
Step-by-step explanation:
Evaluate |- 3 x + 7| given x = 6
Write 5.39 as a mixed number in simplest form?
4. The directions on a bottle of vinegar say, "mix 1 cup of vinegar with 1 gallon of water to make a cleaning solution." The ratio of vinegar to water is 8 fluid ounces of vinegar to 128 fluid ounces of water. Part A: How many cups of water should be mixed with 1/4 cup of vinegar to make the cleaning solution? Part B. How many fluid ounces of vinegar should be mixed with 80 fluid ounces of water to make the cleaning solution? Part C: The bottle of vinegar contains 1 quart. What is the total number of quarts of cleaning solution that can be made using the entire bottle of vinegar? You may consider how many cups and fluid ounces are in a quart. Part D: A spray bottle holds up to 1 cup (8 fluid ounces) of the cleaning solution. When the spray bottle is full, what fraction of the cleaning solution is vinegar?
Answer:
Part A = 4 cups of water
Part B = 5 Fluid ounces of vinegar
Part C = 17 quarts of cleaning solution
Part D = 1/17
Step-by-step explanation:
We have the following conversion rates
1 cup = 8 fluid ounces
1 gallon = 128 fluid ounces
1 gallon = 16 cups
To make cleaning solution
1 cup of vinegar + 1 gallon of water to make a cleaning solution
1 cup of vinegar + 16 cups of water = cleaning solution
The ratio of vinegar to water
8 fluid ounces of vinegar : 128 fluid ounces of water.
1 cup: 16 cups
Part A: How many cups of water should be mixed with 1/4 cup of vinegar to make the cleaning solution?
1 cup of vinegar + 1 gallon of water to make a cleaning solution
1 cup of vinegar = 16 cups of water
1/4 cup of vinegar =
= 1/4 cups of vinegar × 16 cups of water/ 1 cup of vinegar
= 4 cups
Part B. How many fluid ounces of vinegar should be mixed with 80 fluid ounces of water to make the cleaning solution?
128 fluid ounces of water = 8 fluid ounces of vinegar
80 fluid ounces of water =
Cross Multiply
= 80 fluid ounces of water × 8 fluid ounces of vinegar/ 128 fluid ounces of water
= 640/128
= 5 fluid ounces of vinegar
Part C: The bottle of vinegar contains 1 quart. What is the total number of quarts of cleaning solution that can be made using the entire bottle of vinegar? You may consider how many cups and fluid ounces are in a quart.
1 bottle of vinegar = 1 quart vinegar = 4 cups vinegar
1 cup of vinegar = 16 cups of water
4 cups of vinegar =
4 × 16 = 64 cups of vinegar
Convert 64 cups of vinegar to quart
= 1 cup = 1/4 quart
64 cups = 64 × 1/4 = 16 quarts
Hence, the number of quarts of cleaning solution that can be made with 1 quart of vinegar
= 1 quart of vinegar + 16 quarts of vinegar = 17 quarts of cleaning solution
Part D: A spray bottle holds up to 1 cup (8 fluid ounces) of the cleaning solution. When the spray bottle is full, what fraction of the cleaning solution is vinegar?
8 fluid ounces of vinegar + 128 fluid ounces of water = 136 ounces of cleaning solution
136 ounces of cleaning solution = 8 fluid ounces of vinegar
8 fluid ounces of cleaning solution =
8 × 8 /136 = 64/136
= 8/17 ounces of vinegar is contained is 8 fluid ounces of cleaning solution
The fraction of vinegar in one cup of cleaning solution
= 8/17 ounces of vinegar ÷ 8 fluid ounces
= 8/17 ÷ 8
= 8/17 × 1/8
= 1/17
Therefore, when the spray bottle is full(1 cup = 8 fluid ounces, )the fraction of vinegar in the cleaning solution = 1/17
Solve for x X/3+2=x/3
Answer:
no solution
Step-by-step explanation:
X/3+2=x/3
Subtract x/3 from each side
X/3-x/3+2=x/3-x/3
2 = 0
This is never true so there is no solution
Convert 13/2 to a decimal using long division
Answer:
i need this awser hurry hp an do it
Step-by-step explanation:
hellppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
HELP!! what is 10x+18<−2
Answer:
The answer is x<-2 :)
Step-by-step explanation:
What is the solution to this equation?
X/4= -12
Rachel mows 5 lawns in 8 hours . at this, how many lawns can she mow in 40 hours? PLz put explanation too... or else »-(¯`·.·´¯)->
Answer:
25 lawns
Step-by-step explanation:
The rate at which she mows lawns is 5 lawns for every eight hours spent mowing
To fiure out how many lawns she is able to mow at this rate you need to divide the common variables by each other, in this case it is hours
Divide 40 hours by 5 hours
40/8 = 5
Then multiply the amount of "sets" of eight hours by the amount of lawns she mows hourly
5 x 5 = 25
5.
Raul has a recipe for Spanish Crepes that yields 20 crepes, but he needs to make 75 crepes
for his party. What must Raul do?
O A increase the yield percentage
OB find a different food to make
OC scale up his recipe
OD scale down his recipe
Answer:
Step-by-step explanation:
You would scale up the recipe to make a greater portion to accomodate for 75 crepes.
A company recently downsized its number of employees by 30%. If there are still 84 employees, how many employees were there prior to the layoffs?
Answer:
There were 120 employees prior to the layoffs.
Step-by-step explanation:
x is original amount of employees
0.7x=84
divide by 0.7 both sides
x=120 employees
downsize 30% is 36, 120-36=84
Help please
1 1/2% of what number is 10.05
Answer:
10/25%
Step-by-step explanation:
Answer: 15.075%
Please mark me as Brainliest
PLZZZZZZ HELP ME WITH THIS I WILL GIVE 100 POINTS IF THE ANSWER IS WELL EXPLAINED PLZZZZ HELP!!!!!
Show your WORK PLZ
Anna is writing a computer game program. She needs to “move” a square 2 units to the left and 3 down by applying a translation rule to the coordinates of the vertices. The square is aligned with the coordinate axes with one corner of the pre-image square at the origin and the diagonally opposite corner at (4,4). After the transformation what will be the coordinates of the image of each of the four vertices.
A. Write the transformation rule for this particular translation. Use the format given in class.
B. Show the math work that is used to calculate the new coordinates mathematically. State the final coordinate pairs. There should be four pairs of coordinates.
C. Graph, sketch, or draw a picture of the situation. Sketch (on a grid) the pre-image and image of the square. Be sure to include the line segments that form the sides of the square. You MUST label all eight coordinate pairs on your sketch or graph. (You may use Desmos or graph paper for this part. You may even include a link to your Desmos graph.)
The original square has one verticles at the origin, which is at (0,0), and the opposite corner at (4,4), we draw the square show below:
The transformation is moving each verticles 2 unit left and 3 units down.
In term of x-axis translation (horizontal transformation), we move 2 units left or, -2.In term of y-axis translation ( vertical transformation), we move 3 units down, or -3.The tranformation rulw can be written as:
[tex]x = x - 2 \\ y = - 3[/tex]
From the graph shown above, we write the 4 cordinate pairs:
(0,0)
(4,0)
(4,4)
(0,4)
Aplying the transformation rule, we subtract 2 from x cordinate and subtract 3 from each y cordinate.
The new transformed cordinate are:
(0,0) >>>>>> (0-2, 0-3) >>>>>>> (-2, -3)
(4,0) >>>>>> (4-2, 0-3) >>>>>>> (2, -3)
(4,4) >>>>>> (4-2, 4-3) >>>>>>> (2, 1)
(0,4) >>>>>> (0-2, 4-3) >>>>>>> (-2, 1)
We name the first four cordinates A,B,C and D, respectively.
The graph ia shown below:
Need help asap! 30 points!
Drag the tiles to the correct boxes to complete the pairs.
Match each solution to the equation It solves.
Tiles:
-3
-2
3
7
Boxes:
1/4x + 5/3x - 4 = 2 - 1/12x
3.2b - 4.7 = 3b - 3.3
4.6y - y + 4 = y - 1.2
7.5c - 2.5c + 8 = - 7
Answer:
1/4x + 5/3x - 4 = 2 - 1/12x tile (3)
3.2b - 4.7 = 3b - 3.3 tile (7)
4.6y - y + 4 = y - 1.2 tile (-2)
7.5c - 2.5c + 8 = - 7 tile (-3)
Most precise to least precise yard, inch, foot, mile
Answer:
1. inch
2. foot
3. yard
4. mile
Answer:
inch to foot to yard to mile
Step-by-step explanation:
Plz Help!!!
.Which of the following are counterexamples to the given statement? Select the two correct answers.
The product of a positive number and an even number is a positive number.
a) 17x0= 0
b) 2x2= 4
c) 5x(-4)= -20
d) -1x4= -4
e) 7x(-3)= -21
Answer:
a and b
Step-by-step explanation:
63=7p can someone solve this?? i mean i know one step equations but im still confused on this one
Answer:
p= 9
Step-by-step explanation:
you can rewrite the equation as 7p = 63 if that makes more sense for you
then divide both sides by 7
you get 9
A SUV drove 200 miles on 9 gallons of gas. A truck drove 280 miles on 10 gallons of gas. Find both unit rates for both vehicles. Justify your answer in two ways.
Answer:
Suv= About 22 miles
Truck= 28 miles
Step-by-step explanation:
To find the unit rate of both vehicles, divide the number by how many gallons of gas to see how many miles both vehicles drive on 1 gallon.
A truck rental company charges $25 per day plus $.32 per mile. Find the cost of renting a truck for a one-day trip of 500 miles.
FIRST RIGHT GETS BRAINLIEST
7. Which statement is true?
A 0.141414... is an irrational number.
B 0.01011 is an irrational number.
C 9.14 is an integer.
D - 6 is an integer.
Answer:
D -6 is an integer
Step-by-step explanation:
An integer is a whole even or odd number :)
A like would wold help me :)
