Answer:
The solution is (1, 2). That's the solution because that's where the two lines meet.
Step-by-step explanation:
4x + 4y = 8
what is the answer
Answer:
x= 1 and y =1
Step-by-step explanation:
4+4 is 8, therefore for this to be true both must be 1
Answer:
x = 1; y = 1
Step-by-step explanation:
We know x and y have to equal the same thing because 4 + 4 = 8
x = 4 / 4
y = 4 / 4
x = 1
y = 1
Therefore, x = 1; y = 1
NEED HELP LOL... What is the square root of -1?
Step-by-step explanation:
The square root of -1 is defined as i
\( \sqrt{ - 1} = i\)
Answer:
Step-by-step explanation:
The square root of -1 is undefined and has no solutions.
Its i
Question 11(Multiple Choice Worth 2 points)
(Creating Graphical Representations MC)
The number of carbohydrates from 10 different tortilla
sandwich wraps sold in a grocery store was collected.
Which graphical representation would be most
appropriate for the data, and why?
Circle chart, because the data is categorical
Line plot, because there is a large set of data
Histogram, because you can see each individual data
point
Stem-and-leaf plot, because you can see each
individual data point
The most effective graphical representation of the above data would be a histogram.
Which graphical display would be the best fit for the data?A histogram is a graphic representation of the distribution of numerical data. In this case, data on the carbohydrate content of ten different tortilla sandwich wraps is acquired. The best option is a histogram because the data is numerical.
For categorical data, which is broken up into several categories and displayed as a fraction or percentage of the whole, a circle chart, also known as a pie chart, is the best option. The information offered is numerical rather than categorical, though.
Each individual data point is shown as a dot on a number line in a dot plot, also called a line plot. It may not be suitable for larger quantities of data, although being advantageous for an.
Numerical data can be arranged and displayed using a stem-and-leaf plot. For just ten data points, it might not be the ideal depiction, though.
Therefore, the most appropriate graphical representation for the provided data would be a histogram.
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PLEASE HELP ME ASAP 20 POINTS SHOW WORK
Answer:
i got it wrong i don't want to give the wrong answer
question 4
smaller answer is -9
larger answer is 2
Step-by-step explanation:
i did the test
Step-by-step explanation:
1) NA-NA
2) x = 9, - 2
sent photo of second question.
A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. The volume of each small box is 6 cubic feet
and the volume of each large box is 13 cubic feet. A total of 19 boxes of paper were
shipped with a combined volume of 156 cubic feet. Determine the number of small
boxes shipped and the number of large boxes shipped.
There were
Submit Answer
small boxes shipped and
large boxes shipped.
There were 13 small boxes shipped and 6 large boxes shipped.
Let's denote the number of small boxes as 's' and the number of large boxes as 'l'.
According to the given information, the volume of each small box is 6 cubic feet, so the total volume of all small boxes can be calculated as 6s cubic feet.
Similarly, the volume of each large box is 13 cubic feet, so the total volume of all large boxes can be calculated as 13l cubic feet.
We are also given that the combined volume of all the boxes is 156 cubic feet, so we can write the equation:
6s + 13l = 156 ...(1)
Additionally, we know that a total of 19 boxes were shipped, so we can write another equation:
s + l = 19 ...(2)
Now, we have a system of equations (equation 1 and equation 2) that we can solve simultaneously to find the values of 's' and 'l'.
To solve this system of equations, we can use substitution or elimination method. Let's use the substitution method here.
From equation 2, we can rewrite it as s = 19 - l.
Substituting this value of s into equation 1, we get:
6(19 - l) + 13l = 156
Simplifying the equation:
114 - 6l + 13l = 156
Combining like terms:
7l = 42
Dividing both sides by 7:
l = 6
Now, we can substitute this value of l back into equation 2 to find the value of s:
s + 6 = 19
s = 13
The number of small boxes shipped is 13, and the number of large boxes shipped is 6.
There were 13 small boxes shipped and 6 large boxes shipped.
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A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his change is $2.30, how many dimes and how many
quarters does he have?
Answer:
8 dimes and 6 quarters
===================================================
Work Shown:
d = number of dimes
q = number of quarters
d+q = 14 since this is his coin total; equation solves to d = 14-q
10d+25q = 230 which is the total value in cents
10(14-q)+25q = 230 .... apply substitution rule
140-10q+25q = 230
15q+140 = 230
15q = 230-140
15q = 90
q = 90/15
q = 6 = number of quarters
d = 14-q
d = 14-6
d = 8 = number of dimes
-----------------
Check:
8 dimes + 6 quarters = 14 coins
8 dimes = 8*10 = 80 cents
6 quarters = 6*25 = 150 cents
8 dimes + 6 quarters = 80 cents + 150 cents = 230 cents = $2.30
The answers have been confirmed.
If a deed reads that Joe owns 75% of the property and Jim owns 25% of the property, which of the following must be true? A. They hold the property as Tenants in Common B. Nothing can be determined with just that information.
C. They hold the property as Joint Tenants. D. They hold the property as Tenants in the Entirety, Reset Selection
The answer is B. Nothing can be determined with just that information.
The percentage of ownership does not necessarily determine the type of ownership. The type of ownership can only be determined by the specific language used in the deed. The language will indicate whether the parties hold the property as joint tenants, tenants in common, tenants by the entirety, or some other form of ownership. The percentage of ownership may be relevant in some cases, such as in determining the distribution of profits or liabilities, but it does not determine the type of ownership. Therefore, without additional information about the language used in the deed, it is impossible to determine the type of ownership based solely on the percentages of ownership.
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What is the value of the expression 1 2 3 4 5?
The value of the given and completed expression in this problem is
-1
What are combined operations?Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.
In this case we have an arithmetic polynomial.
We complete the expression as follows:
1 + 2 - 3 + 4 - 5
We group the positive terms on one side and negative terms on the other:
(1 + 2 + 4) - (3 + 5)7 - (8)-1The value of the expression (1 + 2 - 3 + 4 - 5) is -1
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Line EF goes through the points (-2, 3) and (2, 6). Line GH goes through the points (-1, 0) and (3, 3). Are EG and GH parallel, perpendicular or neither?
Since both lines have the same slope of 3/4, they are parallel.
What is line?In geometry, a line is a straight one-dimensional figure that has no thickness and extends infinitely in both directions. It is often represented by a straight line with two arrowheads indicating its infinite extent in both directions. A line is defined by two points, and any two distinct points on a plane define a unique line. The slope and y-intercept of a line can be used to write an equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Here,
To determine if lines EG and GH are parallel, perpendicular, or neither, we need to calculate the slope of each line. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
m = (y2 - y1) / (x2 - x1)
For line EF, the two points are (-2, 3) and (2, 6), so the slope is:
mEF = (6 - 3) / (2 - (-2))
= 3 / 4
For line GH, the two points are (-1, 0) and (3, 3), so the slope is:
mGH = (3 - 0) / (3 - (-1))
= 3 / 4
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Solve the problem and pick the best answer from the choices.
Step-by-step explanation:
the third answer is correct.
with a $20 card we can pay for calling costs up to $20 (including $20).
the calling costs are $0.03 per minute in the US, and $0.06 per minute to Brazil.
so, we need to multiply every calling minute in the US by 0.03, and every calling minute to Brazil by 0.06. both results need to be added up.
and the total sum cannot be more than $20.
so
0.03x + 0.06y <= 20
is correct.
Which of the following is the correct sequence of project phases? O A. Concept - Planning - Definition O B. Definition - Planning - Performance O C. Postcompletion - Performance - Planning OD. Performance - Concept - Planning
The correct sequence of project phases is Definition - Planning - Performance. The correct answer is B.
This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.
Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.
Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.
Therefore the sequence of project phase is Definition - Planning - Performance The correct answer is B.
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PUT THE NUMBERS FROM LEAST TO GREATEST
4.6 billion
10 million
240 million
< 300,000
15 million
Answer:
300,000, 10 million, 15 million, 240 million, and 4.6 billion
Step-by-step explanation:
what value of theta is cos ^-1(sqrt2/2)=theta
Answer:
\(\frac{\pi }{4}\)
Step-by-step explanation:
\(cos^{-1}\) (\(\frac{\sqrt{2} }{2}\) ) = \(\frac{\pi }{4}\) = θ
A pot of boiling soup with an internal temperature of 100 degree F was taken off the solve to cool in a 69 degree F room. After 15 mintues the internal temperature of the soup was 95 degree F. To the nearest minute, how long will it take the soup to cool to 80degree F?
Answer:
86.34 min
Step-by-step explanation:
Using the formula for Newton's law of cooling.
\(T = T_{1} + (T_{0} - T_{1})e^{kt}\)
where T₀ = initial temperature of object = 100 F
T₁ = temperature of surrounding = 69 F
T = final temperature of object and
t = time
Initially, when the temperature of the soup drops to 95 F, it takes 15 minutes. So, T = 95 F and t = 15 min
Substituting all the variables into the equation for T we have
\(95 = 69 + (100 - 69)e^{15k}\\95 - 69 = 31e^{15k}\\26 = 31e^{15k}\\e^{15k} = 26/31\\e^{15k} = 0.8387\\15k = ln(0.8387)\\k = ln(0.8387)/15\\k = -0.1759/15\\k = -0.012\)
So,
\(T = 69 + (100 - 69)e^{-0.012t}\\T = 69 + 31e^{-0.012t}\)
When T = 80 F,
\(80 = 69 + 31e^{-0.012t}\\ 80 - 69 = 31e^{-0.012t}\\11 = 31e^{-0.012t}\\e^{-0.012t} = 11/31\\e^{-0.012t} = 0.3548\\-0.012t = ln(0.3548)\\t = -ln(0.3548)/0.012\\t = 1.0361/0.012\\t = 86.34\)
So, it takes the soup 86.34 minutes to cool to 80 °F
It will take 45 minutes for the soup to cool to 80 ° F.
Since a pot of boiling soup with an internal temperature of 100 degree F was taken off the solve to cool in a 69 degree F room, and after 15 minutes the internal temperature of the soup was 95 degree F, to determine how long will it take the soup to cool to 80 degree F the following calculation should be performed:
(100 - 95) / 15 = Degrees decreased per minute 5/15 = X 0.333 = X
(95 - 80) / 0.333 = X 15 / 0.333 = X 45 = X
Therefore, it will take 45 minutes for the soup to cool to 80 ° F.
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Edward deposited $6,500 into a savings account 2 years ago. The simple interest rate is 3%. How much money did Edward earn in interest?
Answer: Hope it helps
$195
Step-by-step explanation:
You just multiply 6,500 times 3%
6,500 times 3%=195
The American Water Works Association reports that the per capita water use in a single-family home is 77 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Twenty-eight owners responded, and the sample mean water use per day was 73 gallons with a standard deviation of 7.6 gallons per day.
At the 0.10 level of significance, is that enough evidence to conclude that residents of Legacy Ranch use less water on average?
a. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
Reject H0: ? ? 77 and fail to reject H1: ? < 77 when the test statistic is (Click to select)less thanmore than .
b. The value of the test statistic is . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
c. What is your decision regarding H0?
Fail to reject
Reject
a) Decision rule: t less than -1.314
b) Test statistics = -2.785
c) Reject H0
What is standard deviation?
The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.
Given: The American Water Works Association reports that the per capita water use in a single-family home is 77 gallons per day.
Legacy Ranch is a relatively new housing development.
The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences.
(a) So, the decision rule is,
t is less that -1.314.
(b) Test statistics = (73 - 77) / (7.6 / √28)
Test statistics = -2.785
(c) The decision regarding H0 is, Reject H0.
Hence,
a) Decision rule: t less than -1.314
b) Test statistics = -2.785
c) Reject H0
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15 kg more sugar can be bought as a result of the 20% increase of the price of sugar at Tk. 4500, what is the price of the sugar at present?
Answer:
The current price is Tk. 3750
Step-by-step explanation:
Given:
\(\%\ Increase = 20\%\)
\(New\ Price = Tk.\ 4500\)
Required
Determine the current price
Percentage increment is calculated using the following formula:
\(\%\ Increase = \frac{New - Old}{Old}\)
In this case, we have:
\(\%\ Increase = \frac{New\ Price - Old\ Price}{Old\ Price}\)
Substitute values for % increase and New Price
\(20\% = \frac{4500 - Old\ Price}{Old\ Price}\)
Cross Multiply
\(20\% *Old\ Price= 4500 - Old\ Price\)
Convert percentage to decimal
\(0.20*Old\ Price= 4500 - Old\ Price\)
Collect Like Terms
\(Old\ Price+0.20*Old\ Price= 4500\)
Factorize:
\(Old\ Price(1+0.20)= 4500\)
\(Old\ Price(1.20)= 4500\)
Solve for Old Price
\(Old\ Price= \frac{4500}{1.20}\)
\(Old\ Price= 3750\)
Hence, the current price is Tk. 3750
the average price of apples is $5.99/lb with the standard deviation of $2.99. suppose the price of apples follows the normal probability distribution. what is the z-score of apple price of $7.99/lb?
The z-score of apple price of $7.99/lb is 0.66
What is probability?Probability is a measure of the possibility of an event occurring.
The likelihood could range from 0 to 1, where 0 indicates an impossibility and 1 indicates a certainty.
Every event in a sample space has an overall probability of one.
The probability that the apple price is less than or equal to $7.99 / lb can be calculated using the normal distribution method
P(x ≤ 5.99)
The standard form of the given random sample can be found using the formula,
Z = (X - μ) / σ
where Z is the standard score
X is the random sample
μ is the mean
σ is the standard deviation.
For x =7.99,
Z = (7.99 - 5.99) / 2.99
= 2 / 2.99
Z = 0.66
Therefore, by standardizing the random sample, we get
P(x ≤ 5.99) = P( z ≤ 0.66)
By using the z-table, we get the value of z
P(z ≤ 0.66) = 0.7454
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If x/y + y/x = -1 , find the value of x^3 - y^3
Answer:
0
Step-by-step explanation:
Multiplying the first equation by xy, we have ...
x^2 +y^2 = -xy
Factoring the expression of interest, we have ...
x^3 -y^3 = (x -y)(x^2 +xy +y^2)
Substituting for xy using the first expression we found, this is ...
x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0
The value of x^3 -y^3 is 0.
Fill in the table using this function rule.
y = 4x+2
X
-2
0
2
4
y
0
0
0
0
X
D
The table is completed using this function rule y = 4x + 2 is given below.
x -2 0 2 4
y -8 2 10 18
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
y = 4x + 2
At x = - 2, the value of 'y' is given as,
y = 4 × (-2) + 2
y = - 8 + 2
y = - 6
At x = 0, the value of 'y' is given as,
y = 4 × (0) + 2
y = 0 + 2
y = 2
At x = 2, the value of 'y' is given as,
y = 4 × (2) + 2
y = 8 + 2
y = 10
At x = 4, the value of 'y' is given as,
y = 4 × (4) + 2
y = 16 + 2
y = 18
The table is completed using this function rule y = 4x + 2 is given below.
x -2 0 2 4
y -8 2 10 18
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Step-by-step explanation:
Please here it is.
Given y = 4x + 2
In a scale drawing of a rectangular deck, the
length is 10 inches and the width is 8 inches. In
the drawing, 4 inches represents 3 yards. What
is the length of the actual deck, in yards?
Answer:
45
Step-by-step explanation:
10/4x3=7.5
8/4x3=6
6x7.5=45yards
A 6-foot ladder touches the side of a building at a point 5 feet above the ground. At what height would a 18-foot ladder touch the building if it makes the same angle with the ground as the shorter ladder?
Answer:
15 feet above the ground
Step-by-step explanation:
We know sinθ = opposite/hypotenuse where h = height of the ladder above the ground = opposite = 5ft and L = length of ladder = hypotenuse side = 6 feet. sinθ = h/L
For the new ladder to make the same angle, sinθ must be the same, so let h' = height of new ladder above the ground and L' = length of new ladder = 18 ft
sinθ = h'/L'
So. h'/L' = h/L
h' = hL'/L
substituting the values of the variables, we have
h' = 5 ft × 18 ft/6 ft
= 5 ft × 3
= 15 ft
So, the 18-foot ladder must be placed 15 feet above the ground to make the same angle as the smaller ladder.
How to convert teaspoons to ml
To convert 1 teaspoon to 1 ml multiply the volume by the conversion ratio of 4.928922.
Add the volume to the conversion ratio to convert a teaspoon measurement to a millilitre measurement.
You may convert between teaspoons and milliliters using the following straightforward formula:
tablespoons in milliliters = 4.928922
One-third of a tablespoon's volume is represented by a teaspoon. [1] Although a teaspoon is roughly equivalent to 4.9 millilitres, on nutrition labels, a teaspoon is actually equal to 5 millilitres.
The teaspoon is a common volume measurement in the US. Teaspoons can be written as tsp, although they can also be spelled as t, ts, or tspn.
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-6 divided by 8? How do you turn it into a fraction problem?
Answer:
\(-\frac{3}{4}\)
Step-by-step explanation:
just put the number on top and what divides it on the bottom
Use the function below (whose parameters qualify it as a STC function) to answer the questions.
"STC "=" 6 "+"9 Q - 3" "Q" ^2 +" (1/3)" "Q" ^3
a) Total fixed cost is $_________
b) Obtain the AFC function from (a) and write it here __________________
c) Obtain the AVC function contained in the STC function and write the AVC function here _________________________
d) Write here the MC function __________________________
e) Find the value which AFC approaches as Q gets very large. Also write a sentence or two explaining what this implies for fixed costs per unit (AFC) as production quantities get ever larger.
f) Find the value of Q at which AVC is a minimum.
g) Is productive efficiency at the value in (f) greatest or least?
h) Demonstrate that the value of SMC equals the value of AVC at the value of Q where AVC is a minimum. Hint: The level of Q you found in (f) is where AVC is a minimum. If you plug this level of Q into AVC (see c) and also into MC (see d) the two outcomes should be the same if SMC crosses AVC at this level of Q.
i) Why does the derivative of Short Run Total Cost (STC) equal the derivative of Total Variable Cost (TVC)? Stated another way, why does dSTC/dQ = dTVC/dQ? Explain in a couple of sentences.
j. Find the value of Q where increasing returns ceases and diminishing returns begins. Hint: Diminishing returns begins at the level of Q where MC is a minimum
Total fixed cost is $6. The value of AFC is $6 / Q. Productive efficiency is greatest at Q = 4.5. Diminishing returns begin when Q = 3. The total fixed cost (TFC) does not change because it is fixed.
a) Total fixed cost is $6
b) We can obtain the average fixed cost function (AFC) from the total fixed cost (TFC) by dividing it by output (Q) as follows: AFC = TFC / Q. So, the value of AFC is $6 / Q.
c) The AVC function is calculated by dividing total variable cost (TVC) by output (Q).
STC = TFC + TVC6 + 9Q - 3Q2 + (1/3)Q3TVC = 9Q - 3Q2 + (1/3)Q3AVC = TVC / QAVC = (9Q - 3Q2 + (1/3)Q3) / QAVC = 9 - 3Q + (1/3)Q2
d) The MC function is derived by taking the first derivative of the STC function with respect to output (Q). The derivative of the STC function is: MC = dSTC / dQMC = 9 - 6Q + Q2
e) As Q approaches infinity, the denominator of AFC becomes larger and larger. So, AFC approaches zero as Q gets very large. This implies that fixed costs per unit decrease as production quantities get larger.
f) We can find the value of Q at which AVC is a minimum by taking the first derivative of the AVC function and setting it equal to zero. The first derivative of AVC is: AVC = 9 - 3Q + (1/3)Q2
dAVC / dQ = -3 + (2/3)Q= 0
Q = 4.5
g) Productive efficiency is greatest when AVC is at its minimum. Therefore, productive efficiency is greatest at Q = 4.5.
h) We can demonstrate that the value of SMC equals the value of AVC at the value of Q where AVC is a minimum by plugging Q = 4.5 into both the AVC and MC functions. AVC = 9 - 3(4.5) + (1/3)(4.5)2AVC = 7.125MC = 9 - 6(4.5) + 4.52MC = 7.125
Since SMC = MC, we can conclude that SMC equals AVC at the value of Q where AVC is a minimum.
i) In the short run, the total fixed cost (TFC) does not change because it is fixed. Therefore, the derivative of the STC function with respect to output (Q) is equal to the derivative of the TVC function with respect to output (Q). This means that dSTC / dQ = dTVC / dQ.
j) Increasing returns to scale cease when the marginal cost (MC) is equal to average total cost (ATC). Diminishing returns to scale begins when MC exceeds ATC. ATC is calculated by dividing the total cost (TC) by output (Q). TC is calculated by adding total fixed cost (TFC) and total variable cost (TVC).
ATC = TC / QATC = (6 + 9Q - 3Q2 + (1/3)Q3) / Q
Now, we can find the level of Q where increasing returns to scale cease by calculating the first derivative of ATC and setting it equal to zero.
ATC = (6 + 9Q - 3Q2 + (1/3)Q3) / QdATC / dQ = (6 - 6Q + Q2) / Q2= 0
Q = 3
Now, we can calculate the marginal cost function and find the level of Q where diminishing returns begins. We know that diminishing returns begin where the marginal cost is at its minimum.
MC = 9 - 6Q + Q2MC = 9 - 6(3) + 32MC = 3
So, diminishing returns begin when Q = 3.
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(x+4)(2x+9)
js help a girl out
Answer:
Step-by-step explanation:
Answer is
(x+4) (2x+9)
(3x+13)
3/13
x =4.3
Cooper earned $214.50 at his job when he worked for 13 hours. How much money did he earn each hour?
Answer:
$16.50
Step-by-step explanation:
Simplify (-4yx^4)^3
Answer: -64y^3x^12
Step-by-step explanation:
how many solutions -4(x+5)=-4x-20
Answer:
Infinite number of solutions. The equations and answers are the same no matter what number x you plug in.
Step-by-step explanation:
-4(x + 5) = -4x - 20
-4x - 20 = -4x - 20
0 = 0
\(\text{Hello there! :)}\)
\(\large\boxed{\text{Infinite solutions.}}\)
\(-4(x + 5) = -4x - 20\\\\\text{Simplify:}\\\\-4(x) -4(5) = -4x - 20\\\\-4x - 20 = -4x - 20\\\\\\\\\text{Add 4x to both sides:}\\\\-4x + 4x - 20 = -4x + 4x - 20\\\\-20 = -20\\\\\text{Both sides of the equal sign are the same, so:}\\\\\\\text{Infinite solutions.}\)
Pls answer questions 6,7,8, and 9
Answer:
6)31.25
7)622.92
8)16.666... or 16 2/3 or 50/3
9) 72
Step-by-step explanation: