A linear equation in one variable is the equation that has one one term
How to explain a linear equation?You should understand that an equation is linear if there highest power of the equation is one (1)
The linear equation can have one or two terms. But in this regard, it the equation contains only a term or variable say x,y,m, p, q, a, b etc, the equation is said to be in one variable.
Taking the following sets of equations
x+4 = 5
2y-8=0
x+4=3-8x
These equations are linear and they contain only one variable.
Therefore, a linear equation is the equation containing one variable whose highest power of the variable is one.
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Complete the sentence.
180g = ___ kg
180g = 0.180 kg or there are 0.180 kilograms in 180 grams.
In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.
A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.
The sentence states an equality between a units of weight in grams (g) and kilograms (kg).
From there, we can say that we are asked how many kilograms are there in 180 grams.
Converting grams to kilograms, we must use the conversion
1 g = 0.001 kg
180g = 180 (0.001) kg
180g = 0.180 kg
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What’s the slope of the line?
Answer:
slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (2, - 1)
m = [tex]\frac{-1-1}{2-(-2)}[/tex] = [tex]\frac{-2}{2+2}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]
HELP!! PLEASE!! DUE!! TODAY!! Joanna's vegetable Garden covers an area of 1/6 of a square mile. if the garden is 1/4 mile wide, how long does the garden stretch?
The garden will stretch by 2/3 miles.
Given that Garden covers an area of 1/6 of a square mile and the garde is 1/4 mile wide.
As we know, the garden is a rectangle shape.
Here, we will use the formula of area of rectangle.
Area of rectangle is equal to the product of length and breadth.
Area =l×b
Here, the give area=1/6 miles² and b=1/4 mile.
Now, we will substitute the values in the formula, we get
1/6=l×(1/4)
Further, we will multiply both sides with 4, we get
4/6=4l/4
4/6=l
Now, we will simplify the left hand side, we get
2/3=l
Hence, the length of garden stretch when garden covers an area of 1/6 of a square mile and 1/4 mile wide is 2/3 mile.
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A. 5x=20
B. x=4
What formula is this?
Answer:
5 x 4=20
Step-by-step explanation:
the x is a smaller number to tell you how many 5's there are which x=4 so the are 4 5's but you have to times(multiple) the two numbers.
5x4
=20
(4y+1)x0=0 property
The property represented by the expression is the property of zero.
We are given an expression:
(4 y + 1) × 0 = 0
We need to tell which property is this.
The property that is used is called the property of zero. In this, it states that whenever a number is multiplied by 0, the answer or the result will always be zero.
For example: 3 × 0 = 0, 4 × 0 = 0, M × 0 = 0 or P × 0 = 0.
It does not matter whether a constant or a variable is multiplied with it, the result of the multiplication will always be zero.
Therefore, the property represented by the expression is the property of zero.
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i’ll mark brainliest
Answer:
<E
Step-by-step explanation:
The points need to be in order. P is the second to the last on the list and so is E.
a bookshelf contains 5 different mathematics textbooks, 4 different engineering textbooks, and 2 different history textbooks. how many different ways are there to arrange the books on a shelf? 39916800 how many different ways are there to arrange them if each book is sorted by category (so all of the books of a type are in a row)? 34560 how many different ways are there to arrange them if only the history books must be next to each other? 725760 how many different ways are there to arrange the books if none of the history books may be adjacent to each other?
Answer:
Step-by-step explanation:
The correct answer is “39916800”. Explanation: No. of mathematics books = 3 No. of Engineering books = 5 No. of history books = 3 Total number of books = 3 + 5 + 3 = 11 Hence, there are 11! ways in which all of these books can be arranged.
I think I may be wrong if someone wants to check this you can
answer this please and thank you :)
Answer:
The diver is at a depth of [tex]-5\frac{1}{15}[/tex].
_____________________________________
What we have given:
Initial dive: [tex]1\frac{2}{3}[/tex] = [tex]x[/tex]
Additional dive: [tex]3\frac{2}{5}\\[/tex] = [tex]z[/tex]
Given the context, we can assume that sea level is 0ft.
So we have:
[tex]d=0-1\frac{2}{3}-3\frac{2}{5}[/tex] (d = depth)|
[tex]d=0-\frac{5}{3}-\frac{17}{5}[/tex] <- Convert mixed numbers to improper fractions.
[tex]d=-\frac{5}{3}-\frac{17}{5}[/tex] <- Simplify.
[tex]d=-\frac{25}{15}-\frac{51}{15}[/tex] <- The LCM between 3 and 5 is 15, so adjust the fractions accordingly.
(NOTE: Remember everything you do to the denominator must be replicated on the numerator as well!)
[tex]d=\frac{-25-51}{15}[/tex] <- Since the denominators are equal, combine the fractions.
[tex]d=\frac{-76}{15}[/tex]
[tex]d=-\frac{76}{15}[/tex] <- Apply the following fraction rule = [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]d=-5\frac{1}{15}[/tex] <- Convert the improper fraction to a mixed number and there is your final answer.
___________________________________
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Have a WONDERFUL day!
4(7) is ___ units from 4, in the _______ direction.
Answer:
4(7) is 7 units from 4, in the forward direction.
Step-by-step explanation:
write the index notation of 6*6*6
Step-by-step explanation:
6×6×6 can be written as 6^3...
Answer:
6^3
Step-by-step explanation:
6 x 6 x 6 is equal to 6^3
How do you write 0.63 as a percentage
Answer:
63%
Step-by-step explanation:
To write a decimal as a percentage, you simply multiply it by 100. 0.63 * 100 is 63, so your final answer would be 63%.
FINAL ANSWER: 63%
If m< ABF=7b-24 and m< ABE = 2b, find m< EBF .
Answer:
∠ EBF = 16°
Step-by-step explanation:
note that EB is the angle bisector of ∠ ABF , then
∠ ABE = ∠ EBF = 2x and
∠ ABF = ∠ ABE + ∠ EBF , that is
7b - 24 = 2b + 2b
7b - 24 = 4b ( subtract 4b from both sides )
3b - 24 = 0 ( add 24 to both sides )
3b = 24 ( divide both sides by 3 )
b = 8
Then
∠ EBF = 2x = 2(8) = 16°
a square garden has an area of 144 square feet. the owner wants to put ups deer fence around the garden that costs $3.50 per linear foot. how much will it coat to put up a whole fence around the garden?
7. The John G. Riley Center and Museum in
Tallahassee is open for tours year-round.
Admission is $5.00. If 283 tour tickets are sold
each month, how many tickets would be sold
in 1 year?
3396 Tickets would be sold in one year. If 283 tickets are sold each month you need to do 283 (tickets) x 12 (months) and that will get you 3396 Tickets per every 12 months.
Bob is interested in examining the relationship between the number of bedrooms in a home and its selling price. After downloading a valid data set from the internet, he calculates the correlation. The correlation value he calculates is only 0. 5. What does bob conclude?.
According to the calculations made by Bob after downloading and calculating the correlation value as 0.5 from a given data set, he concludes that as the number of bedrooms in a particular home increase there is an increase in the selling price of the bed.
This increase in the selling price due to the increase in the number of bedrooms can be explained with the help of the Law of Demand which states that as the demand for a certain product increases its cost or the selling price also increases.
Thus, when Bob calculates the correlation factor, he finds that as the number of bedrooms increases there is also a hike in the selling price. As there should be a surplus to fulfill the demand for bedrooms.
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Vertex (-2,-5) passes through (4,4) in vertex form
The equation of parabola is [tex]y=1/4x^{2}+x/2-4\\\\[/tex].
What is parabola?A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape. A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.
Given:
The equation of parabola in vertex form is
[tex]y=a(x-h)^{2} +k[/tex]
Being vertex here
h=-2
k=-5
According to given question we have
∴
Equation of parabola in vertex form is
[tex]y=a(x+2)^{2} -5[/tex]
. The parabola passes through point (4,4) So the point (4,4) will satisfy the equation .
[tex]4=a(4+2)^{2} -5\\\\4=a*36-5\\\\9=a*36\\\\a=9/36\\\\a=1/4[/tex]
Hence the equation of parabola is
[tex]y=1/4(x+2)^{2} -5\\\\y=1/4(x^{2} +4+2x)-5\\\\y=1/4x^{2} +1+x/2-5\\\\y=1/4x^{2}+x/2-4\\\\[/tex]
Therefore, the equation of parabola is [tex]y=1/4x^{2}+x/2-4\\\\[/tex].
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the equation of parabola is missing
Assume you are working with population of n= 16 scores. the sum of all of the scores is equal to 96. what is the population mean?
The population mean of the data is 6.
How to find the population mean?The population has n = 16 scores.
The sum of all of the scores is equal to 96.
Therefore, the population mean can be found as follows:
The population mean is the mean or average of all values in the given population.
The population mean is represented mathematically as follows:
population mean = sum of terms / number of terms
Therefore,
sum of terms = 96
number of terms = 16
Hence,
population mean = = 96 / 16
population mean = 6
Therefore, the population mean of the data is 6.
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find all parts show work 25 points
HELP
The solution of the system of linear equations behind the geometric system is (x, z) = (29, 13). The measures of the angles RIG and ZIM are 59° and 140°, respectively.
What are the variables behind a geometric system formed by three lines?
In this problem we find a geometric system generated by lines GZ, AM and IR, in which two variables are shown (x, z) and whose values can be found by applying the concepts of complementary and supplementary angles.
A group of angles are complementary if the sum of their measures equals 90°, and supplementary if that sum equals 180°. This system can be represented by the following system of linear equations:
(3 · x - 56) + 90 + (4 · z + 7) = 180 (1)
(4 · z + 7) + (x + 2) = 90 (2)
By (1):
(3 · x - 56) + (4 · z + 7) = 90
3 · x + 4 · z - 49 = 90
3 · x + 4 · z = 139 (1b)
By (2):
x + 4 · z = 81 (2b)
The solution of the system of linear equations behind the geometric system is (x, z) = (29, 13).
Then, the measures of the angles RIG and ZIM are, respectively:
m ∠ RIG = 4 · z + 7
m ∠ RIG = 4 · 13 + 7
m ∠ RIG = 59°
m ∠ ZIM = 360° - (3 · x - 56) - 90° - (4 · z + 7) + (x + 2)
m ∠ ZIM = 360 - 3 · 29 - 56 - 90 - 4 · 13 + 7 + 29 + 2
m ∠ ZIM = 140°
The measures of the angles RIG and ZIM are 59° and 140°, respectively.
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Solve: 5x - 7x + 6 = -2(x - 3).
A 0
B 3/4
C 2
D no solution
E infinitely many solutions
I will give 80 points
Answer: E: Infinitely many solutions
Step-by-step explanation:
Starting with 5x - 7x + 6, let's combine like terms.
5x - 7x is -2x.
Thus, we have -2x + 6 = -2(x-3)
Using the distributive property for the right side, we multiply -2 * x, and get -2x, and -2 * -3 and get +6.
Now we have -2x + 6 = -2x + 6. We have the same equation here, and know that there is infinitely many solutions here off the bat.
For sake of computations, let's solve and show our work.
Subtracting 6 from both sides, we have -2x = -2x.
Adding 2x to both sides, we get 0 = 0.
Thus, we have infinitely many solutions.
A sphere has a diameter of 6 cm.
What is the volume when pi is set to 3?
First, we'll have to find the radius.
Radius is half of the diameter.[tex]\large\boxed{\bold{r= \frac{d}{2}}}[/tex]
[tex]r= \frac {6}{2}[/tex]
[tex]r= 3 \ cm[/tex]
Now, we can workout the volume.
Instead of π, we are asked to use 3.
[tex]\large\boxed{\bold{\red \pi \red = \ \red 3}}[/tex]
[tex]\large\boxed{\bold{V= \ \frac{4}{3} \pi {r}^{3}}}[/tex]
Now, substitute the values according to the formula.
[tex]V= \ \frac{4}{3} × 3 × {3}^{3}[/tex]
[tex]\large\boxed{\bold{V= \ 108 \ {cm}^{3}}}[/tex]
The answer is a whole number so you won't have to round off.
Therefore, the volume of the given sphere is 108 cubic centimeters.
16. <1 and <2 form a linear pair. The
measure
of <2 is six more than twice the
of <1. Find m<2.
The measure of the angle 2 is 122°.
What is referred as the linear pair?When lines intersect at a single point, a linear pair of angles is formed. If the angles are adjacent to one another after the two lines intersect, they are said to be linear. The sum of the angles of the a linear pair will always be 180°. These angles are also referred to as supplementary angles.Given that angles 1 and 2 form a linear pair,
angle 1 + angle 2 = 180 degrees —— (1)
We've also been notified that angle 2 is 6 times the size of angle 1.
That is to say: angle 2 = (2×angle 1) + 6 ———- (2)
Putting the angle 2 value in (1) from (2)
180 = angle 1 + 2×angle 1 + 6
3×angle 1 = 174
1st angle = 58 degrees ———-(3)
(1) and (3) come from:
angle 2 + 58 = 180
2nd angle = 122 degrees
As a result, angle 2 has a measure of 122 degrees.
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A recipe for homemade modeling clay includes cup of salt for every cup of water. If there are 6 cups of salt, how many gallons of water are needed?
Answer:
0.375
Step-by-step explanation:
see above
A group of students visited the zoo café for lunch. Each student received a bacon cheeseburger
and milkshake, and the total bill was $104.00. How many students were in the group? Please show your work.
Sandwiches Sides Beverages
Hamburger $3.25
Bacon Cheeseburger $4.75
Chicken Fajita Taco $3.50
French Fries, Small $1.55
French Fries, Large $1.90
Onion Rings $2.40
Cole Slaw $1.45
Soft Drink, Small $1.30
Soft Drink, Large $1.65
Milkshake $3.25
Juice $1.80
Answer:
13
Step-by-step explanation:
Which graph describes Taco Truck 1?
Which graph describes Taco Truck 3?
Which graph describes Taco Truck 5?
Evaluate the expression.
Answer: 1
Step-by-step explanation:
4^(-1) / 4^(-1)=
1/4 / 1/4=
1/4 * 4/1= ==> Dividing by a number is basically multiplying its reciprocal
1*4/(4*1)=
4/4=1
you are employed at a grain processing plant that sells cornmeal for $1.28 per pound. if a sack of cornmeal weighs 4 pounds 12 ounces, how much does it cost?
Answer:
$6.08
Step-by-step explanation:
16 ounces = 1 pound
4 pounds 12 ounces = 4 12/16 pounds OR 4 ¾ pounds
4¾ ≈ 4.75
4.75 pounds x $1.28 = $6.08
The value of y varies inversely with the square of x, and y = 4, when x = 5. What is y when x=10
Answer:
Step-by-step explanation:
[tex]y=k/x^{2}[/tex]
when y=4, x=5. Therefore:
[tex]4=k/5^2[/tex]
[tex]k=100\\[/tex]
If [tex]k=100, x=10 \\[/tex]
then [tex]y=100/10^2[/tex]
y=1
Answer:
The value of x when y = 9 is x = 2 or x = -2
Step-by-step explanation:
Given that value of y varies inversely as the square of x, and y=4, when x=3.
Therefore the initial statement is:
[tex]y x \frac{1}{x^{2} }[/tex]
Use with problems 11 and 12. Round to the nearest hundredth place.
C-3,1)
D(0, -6)
Answer:
7.6. Good luck
The football team is selling gift cards in increments of
$25 and $50. If they sold $6,000 worth of gift cards
which equation could be used to determine how many
$50 gift cards, g, were sold if 180 gift cards were sold in
the $25 amount?
Answer: 4,500+50g=6,000
Step-by-step explanation:
x+20)4x²+10x+2(
PLEASE SOLVE AND ANSWER.
Answer:
4x[tex] \sf {}^{3} [/tex] +80x²+10x+2
Step-by-step explanation:
(x+20)4x²+10x+2
Let's simplify step-by-step.
(x+20)(4)x²+10x+2
Distribute:
=4x[tex] \sf {}^{3} [/tex] +80x²+10x+2