The correct answer 4+3w=5.
Variables in an equation are typically English alphabets and can have any real value that the equation is satisfied with. They also include coefficients and constants. In an equation, constants are the independent numbers for the variables, and coefficients are the numbers connected to the variables. Algebraic equations with orders equal to one or one are known as linear equations.
An analytical claim that two things are equal is known as an equation. Either a term or an expression are present in an equation. An equation is a statement of equality in mathematics that contains one or more variables.
Let the unknown variable be w,
4+(w×3)=5
4+3w=5
Solving ,
3w=5-4
3w=1
w=1/3
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What is the slope of the line through (-7,-8)(−7,−8)
A. 12/7
B.7/12
C.-12/7
D.-7/12
Answer:
Step-by-step explanation:
a person starts walking from home and walks: 3 miles east 7 miles southeast 4 miles south 5 miles southwest 4 miles east
Distance can be defined as the amount of ground covered or walked by a physical object, regardless of its direction, starting or ending point.
How to calculate the total distance?In order to determine the total distance walked by this person, we would simply add each of the distances recorded together as follows:
Total distance = 3 + 7 + 4 + 5 + 4
Total distance = 23 miles.
How to determine the total displacement vector?In order to determine the total displacement vector, we would add all of the vectors together as follows:
3 miles East = <5, 0>
7 miles Southeast = <7/√2, -7/√2> or <7cos45°, -7sin45°>
4 miles South = <0, -4>
5 miles Southwest = <-5/√2, -5/√2> or <-5cos45°, -5sin45°>
4 miles East = <4, 0>
Total displacement vector = <5 + 7/√2 + 0 - 5/√2 + 4, 0 - 7/√2 - 4 - 5/√2 + 0>
Total displacement vector = <9 + 2/√2, -4 - 12/√2>
Total displacement vector = <9 + 1.41, -4 - 8.49>
Total displacement vector = 10.41i - 12.49.
If this person walked straight home, the total distance walked is giving by the resultant of the above displacement vector:
Total distance = √[10.41² + (-12.49)²]
Total distance = √[108.37 + 156.00]
Total distance = √264.37
Total distance = 16.26 miles.
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Complete Question:
A person starts walking from home and walks: 3 miles East 7 miles Southeast 4 miles South 5 miles Southwest 4 miles East.
a. This person has walked a total of _____ miles.
b. Find the total displacement vector for this walk:
c. If this person walked straight home, they'd have to walk
Brittany says she can read about 220 words per minute. She has a book that is 300 pages long and each page has about 370 words per page. How many hours will it take Brittany to finish the book?
We want to do a change of units of a rate, from words per minute to words per hour.
We will find that the answer is 22,200 words per hour.
The rate that we need to modify is:
370 words/minute
So the time is in the denominator.
Also, remember that:
1 hour = 60 minutes.
Then:
1 minute = (1/60) hours.
Using the above relation, we can replace the "minute" in the denominator by (1/60) hours, so we get:
370 words/minute = 370 words/((1/60) hours.) = 60*370 words/hour
22,200 words/hour.
Then the rate is 22,200 words per hour.
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Answer:
We want to do a change of units of a rate, from words per minute to words per hour.
We will find that the answer is 22,200 words per hour.
The rate that we need to modify is:
370 words/minute
So the time is in the denominator.
Also, remember that:
1 hour = 60 minutes.
Then:
1 minute = (1/60) hours.
Using the above relation, we can replace the "minute" in the denominator by (1/60) hours, so we get:
370 words/minute = 370 words/((1/60) hours.) = 60*370 words/hour
22,200 words/hour.
Then the rate is 22,200 words per hour.
Step-by-step explanation:
A+B=0 and AB= -36
What is the value of A-B?
Please help me with step by step explanation.
The value of A - B is - 12
It is given that A + B = 0 .......... ( Eq . 1 )
⇒ A = - B ............ ( i )
Another equation which is given is :
AB = - 36 ........... ( Eq . 2 )
Using (i) in Eq . 2
- B ( B ) = - 36
- B ² = - 36
B ² = 36
B = √ 36
B = 6 .......( ii )
Using B = 6 in ( i ) ,
A B = - 36
A ( 6 ) = - 36
A = -6
This implies, A = - 6 and B = 6
Now to find the value of A - B , we need to put the values
A - B = - 6 - 6
= - 12
Hence, the value of A - B is - 12 .
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someone please help me
Answer:
64
Step-by-step explanation:
Ok so I know I prolly didn't work this out the way they want you to, but this is how i have always done it and got the correct answer.
So, there are 180 degrees in a triangle right? Well, we know 2 angles, 65 and 51. So add them together and you get 116. Simply subtract 116 from 180 to find the missing angle.
65 + 51 = 116
180 - 116 = 64
m<PST = 64 degrees
what is the relationship between the values of the two 4s in the weight of the potatoes?
The relationship between the values of the two 4s in the weight of the potatoes is that the first number is 10 times the second 4.
How to illustrate the information?In this case, the weight of a potato is given as 3.441g.
It should be noted that the first 4 is in the tenth place and is written as 0.4.
On the other hand, the second 4 is in the hundredth place. The value is 0.04.
Therefore, the relationship between the numbers will be:
= 1/10 × 1/10 = 1/100
Therefore, the relationship between the values of the two 4s in the weight of the potatoes is that the first number is 10 times the second 4.
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The weight of a potato is given as 3.441g. Ehat is the relationship between the values of the two 4s in the weight of the potatoes?
if 6 bales are needed to feed 40 head of cattle, how many bales are needed to feed 50
Your question was incomplete. Please refer the content below:
If 6 bales are needed to feed 40 head of cattle, how many bales are needed to feed 50 head of cattle?
By using unitary method, we get that 7.5 bales are need to feed the 50 heads of cattle.
We are given that:
6 bales are need to feed the 40 heads of cattle.
We need to find out that how many bales will be needed to feed the 50 heads of cattle.
Here, we will be using the unitary method.
So, 40 heads need = 6 bales
1 head needs = 6/40 bales
1 head needs = 3 / 20 bales.
So, 50 heads will need:
50 heads will need = 3 / 20 × 50 bales
50 heads will need = 3 / 2 × 5 bales
50 heads will need = 7.5 bales.
Therefore, by using unitary method, we get that 7.5 bales are need to feed the 50 heads of cattle.
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choose the correct answer to fill in the blank. an outlier is an observation which is less than iqr or greater than q3 ( )times iqr.
According to the given statement Outliers would be any sightings that are more than 1.5 IQR below Q1 or more then 1.5 IQR above Q3.
What does the term "outlier" signify in statistics?An outlier is a value that is significantly different from the other values in a random sampling of a population. In some ways, this definition leaves it up towards the analyst (or a consensus process) to determine what is abnormal.
What is the significance of identifying outliers?Identifying potential outliers is critical for such following reasons. An outlier could imply faulty data. For example, the data could have been wrongly coded, or an experiment could have been done erroneously.
According to the given data:An outlier is defined as an observation that is less than or more than Q3 times IQR.
We need to look for place variances in Q1 and Q3.
When we utilize the IQR approach to discover outliers outside of Q1 and Q3, we create a "fence." Outliers are any values that fall outside of the defined boundary.
To construct this fence, we take 1.5 times the IQR, deduct it from Q1, and add it to Q3.
IQR = (1.5 - Q1)
IQR = (1.5 + Q3)
This provides us with the minimum and maximum fence posts to which we can compare every observation.
the given statement Outliers would be any sightings that are more than 1.5 IQR below Q1 or more then 1.5 IQR above Q3.
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a traffic study has shown that the probability that 55 cars will pass over a small bridge in a 4-4-minute period is 0.16.0.16. what are the odds against exactly
Final answer:
The odds against exactly 5 cars passing over the bridge in that time is calculated as 4:21
Why don't we use probability instead of odds ?
A probability must be between 0 and 1 (nothing can happen with a greater than 100% likelihood). The chances are not as limited. Odds can be any positive number; for example, a chance of 2/3 is equivalent to odds of 2/1. By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula.
By dividing the odds in the first group by the odds in the second group, the odds ratio is calculated. For many clinicians, odds and odds ratios are difficult to comprehend. Odds are calculated by dividing the likelihood of an event happening by the probability that it won't.
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in how many different ways can the letters of the word detail' be arranged in such a way that the vowels occupy only the odd positions?
The number of ways in which the word detail can be arranged in such a way that the vowels occupy only the odd positions is 36.
We will find the number of permutations in which the word DETAIL can be arranged such that the vowels occupy odd positions.
The vowels are E, A and I. They can occupy 1st, 3rd and 5th position in any order. Hence, the number of ways to do that is 3! = 6.
Now, the consonants D, T and L can occupy 2nd, 4th and 6th position in any order. Hence, the number of ways to do that is 3! = 6.
Hence,
Total number of ways = 3! * 3! = 6*6 = 36.
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During this time, helen barnes from tri-state realty called for information about a stone listing. what should the assistant do?
During this time, Helen Barnes from tri-state realty called for information about a stone listing. The assistant should give Helen the information she is asking for.
Who is an unlicensed assistant broker?An unlicensed assistant broker does a number of responsibilities. Nonetheless, it is vital that every broker understands what an unlicensed broker is legally allowed to do when compared to a licensed assistant broker, in order to avoid getting into trouble.
Therefore, we conclude that in this question, the assistant should give Helen the information she is asking for.
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Complete question is; all of the licensees at stone realty are attending an off site conference for the afternoon. the broker’s unlicensed assistant remained at the office to answer the telephone. during this time, helen barnes from tri-state realty called for information about a stone listing. what should the assistant do?
Find parametric equations for the line. (use the parameter t.) the line of intersection of the planes x y z = 6 and x z = 0
Let [tex]x=t[/tex]. Then
[tex]x+z = 0 \implies z = -x = -t[/tex]
[tex]x + y + z = 6 \implies y = 6 - x - z = 6 - t - (-t) = 6[/tex]
so our parametric equations for the line are
[tex]\begin{cases}x(t) = t \\ y(t) = 6 \\ z(t) = -t\end{cases}[/tex]
where [tex]t\in\Bbb R[/tex].
Solve system of equations.
1/3x-3 y=-4
x-9 y=-12
The system of equations involving 1/3x - 3y = -4 and x - 9y = -12 has infinite number of solutions.
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
There are three methods that can be used to solve system of linear equations.
1. Elimination
2. Substitution
3. Graphing
Using substitution method, given two linear equations in x and y,
1/3x - 3y = -4 (equation 1)
x - 9y = -12 (equation 2)
Using the second equation, find the value of one variable, lets say x, in terms of the other.
x - 9y = -12 (equation 2)
x = 9y - 12
Substitute the equation of x to the first equation.
1/3x - 3y = -4 (equation 1)
1/3(9y - 12) -3y = -4
3y - 4 - 3y = -4
Combining the all terms containing the variable y on one side and the constants on the other side of the equality, and solving for y.
3y - 3y = -4 + 4
0 = 0
Since we did not get unique values for x and y, check if one of the equations is a simplified form of the other. Multiply the first equation with 3.
1/3x - 3y = -4 (equation 1)
3(1/3x - 3y) = 3(-4)
x - 9y = -12
Since this new equation is the same with the second equation, this means that the lines of the two equations are the same(overlapping). Hence, the system of equations has infinite number of solutions.
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need help with homework
Answer:
c
Step-by-step explanation:
Solve for j.
j+9
4
j =
Answer:
i think ur saying that j=4 so the answer is 13
just 4+9
Step-by-step explanation:
The length of the rectangle given below is more than the width of the rectangle. Write the inequality you would use to solve the problem. Then, Solve the inequality. Make sure you use the proper notation for your equation and answer.
Answer:
Inequality:
8in > x - 5in
Solution:
x < 13in
Step-by-step explanation:
If the length 8in is is bigger than the width (x - 5in) then we just need to write it:
8in > x - 5in
To solve for x, we need to move everything but x to the other side
8in > x - 5in
13in > x
Simplify 2x(3x^2+5x-2)
Answer:
6x^2+6x
Step-by-step explanation:
2x(3x^2+5x-2)
6x^2+10x-4x
6x^2+6x
Please help 1 through 4
Answers:
1.) Plot the numbers on the y-axis (vertical line) and the countries on the x-axis (horizontal). Then, put "Cars (billions)" to label the y-axis and put "Country" to label the x-axis. There is an example attached.
2.) Do the same thing as #1 but label the y-axis with "People (hundreds)" and the x-axis as "Colonies".
3.) Japan because 8 is the greatest amount comparing to the other countries.
4.) Japan made 6 million more cars than Spain since 8 - 2 = 6. (We are counting the cars in millions)
Ranger Raul is thinking of two numbers. When he adds them, he gets 40. When he multiplies them, he
gets 351. What are the numbers?
Answer:27 and 13
Step-by-step explanation: 27 + 13= 40
27 x 13= 351
you are currently in dept to your friend by $50. You pay your friend back $15 the first week, then $25 the next week do you still owe your friend money and how much?(help me please)
Answer:
Well that depends
Step-by-step explanation:
What are the factors of the function represented by this graph?
Y10-
-10
8 -6 14
OA. (x-4) and (x-8)
OB. (x-4) and (x+8)
8
d
-8
10
Answer:
B. (x − 4) and (x + 8)
Step-by-step explanation:
ok nice :0
Please answer!
Stephen and Paul each purchased a movie ticket at AMC theaters for $11.00 each. Both bought a drink from the concession stand. Stephen used a $5.00 off coupon that he received in the mail. After using the coupon, their total cost before tax was $29.18.
Write an equation that can be used to determine the cost of one drink. Be sure to define your variable.
The cost of each drink purchased at the AMC theaters is $6.09
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the cost of one drink. After using the coupon, their total cost before tax was $29.18. Hence:
2(11) + 2(x) - 5 = 29.18
x = 6.09
The cost of each drink purchased at the AMC theaters is $6.09
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some friends decided to equally split the cost of gas on their trip. the expression 3g4 represents how much money each person had to pay in dollars for g gallons of gas. what does the expression 3g in the numerator represent?
The "3g" in the numerator of the expression represents the total cost of gas.
What is an expression?A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Now,
given expression: [tex]\frac{3g}{4}[/tex], Where the value of g is determined by:
g: the quantity of gas in gallons.From the expression, we can conclude that:
The total cost of the gas in gallons is represented in the expression's numerator.The expression's denominator is the total number of persons who will share the expense of the gas in gallons.Hence, The "3g" in the numerator of the expression represents the total cost of gas, before the money is split amongst the friends.
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it is not always helpful to rewrite a quadratic equation in standard form as a first step in solving it.
The given statement is True.
"It is not always helpful to rewrite an equation in standard form as a first step in solving it."
Briefing:In standard form, the right side of an equation should be 0 and every component on the left side should be 1. For example, x2 = 4; to express this in standard form, move the number 4 to the left side of the equation, resulting in x2 - 4 = 0.
If you are asked to find x in this circumstance, there is no need to write the equation in standard form; simply take this same real number of both of the equation's sides to find x.
How do I write a standard form equation?Ax+By=C is the common structure for linear equations in two variables. 2x+3y=5, for example, is a simple linear equation. It is rather simple to find both intercepted communications when an equation is stated in this way (x and y). This form is indeed useful for solving two-linear equation systems.
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I understand that the question you are looking for is:
It is not always helpful to rewrite an equation in standard form as a first step in solving it.
True/False
help just sinplify ig
Answer:
40
Step-by-step explanation:
Add ratio 2+5=7
Divide 140 by 7 = 20
Multiply 20 by the ratio Jayden has which is 2
20x2=$40
what is -10 minus -4 with counters
-10 minus -4 = -6
Subtraction in mathematics is the process of subtracting one number from another. This is a first-order arithmetic operation, represented by the subtraction sign (-), and is a method of calculating the difference between two numbers and the length of a segment. Subtraction is an operation which is used to find the difference between numbers. If you have a group of objects and remove some objects from it, the group will be smaller. For example, you bought 9 cupcakes for your birthday party and your friend ate 7 cupcakes. Now he has two cupcakes left. This can be written in the form of the subtraction formula 9 - 7 = 2, read as "9 minus 7 is equal to 2". If you subtract 7 from 9, (9 - 7) becomes 2.Solving the equation
-10 minus -4
= -10 - (-4)
= -10 + 4
= -6
-10 minus -4 = -6
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
When designing a rectangular patio, a landscaper places a coordinate grid on top of the design.
One side of the patio is represented by the line
y=2/3x+5/3
The other three sides of the patio will be represented by one line with a slope of (BLANK) and two lines with a slope of (BLANK).
The other three sides of the patio will be represented by one line with a slope of 2/3 and two lines with a slope of -3/2.
What is general equation of a Straight line?The general equation of a straight line is -
y = mx + c
Given in the question is a equation that describes the one side of a rectangular patio. From the question, we can write -
Equation representing a side of Patio - y = 2/3x + 5/3
If we compare the equation representing a side of Patio with the general equation of line, we get -
y = 2/3 x + 5/3
[y] = [m] x + [c]
From this we can conclude that -
m = 2/3 = slope of line
c = 5/3 = y - intercept
The patio is in the shape of a rectangle. Therefore, the side opposite to the line of slope → 2/3 will be equal in length and parallel to it. We know, that the slope of two parallel lines are same. So, the slope of line parallel to y = 2/3x + 5/3 will be 2/3.
The remaining two sides are perpendicular to both the side of slope → 2/3. The remaining sides are also parallel to each other, indicating they both have same slope. The slope of a line perpendicular to a given line (L) is given by -
m [p] x m [L] = -1
m [p] = - 1 / m [L]
m [p] = - 3/2
Therefore, the remaining two sides will have slope of -3/2.
Therefore, the other three sides of the patio will be represented by one line with a slope of 2/3 and two lines with a slope of -3/2.
[Refer to the graph attached]
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GIVING 250 POINTS ONLY IF YOU'RE CORRECT!
Find the coordinates of the missing endpoint if M is the midpoint of
.
B(-7, 16) and M(-2, 8)
A( ______ , ______ )
Answer:
(3,0)
Step-by-step explanation:
I think this is right.
Although they seem to remain unchanged, many mountains undergo steady
growth. If erosion and weathering are ignored, some mountains, like the San
Gabriels in southern California, grow as much as 1.0 cm within a year. If a
year is considered to be exactly 365 days, what is the speed at which the San
Gabriel Mountains grow in kilometers per hour?
Using proportions, the San Gabriel Mountains grow 0.00000000114 km/h.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For this problem, we have that:
Each cm has 0.00001 km.Each day has 24 hours, hence a year has 365 x 24 = 8760 hours.Hence the speed is:
0.00001/8760 = 0.00000000114 km/h.
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(x-4) |x-4| i am looking for the simplification of this. i think the answer should be x^2 - 16, my teacher gave us an answer, but i don't believe it is correct. she gave us -x^2 +8x - 16.
It depends on the sign of [tex]x-4[/tex].
Recall the absolute value function's definition:
[tex]|x| = \begin{cases}x & \text{if } x \ge 0 \\ -x & \text{if } x < 0\end{cases}[/tex]
Now, if [tex]x-4\ge0[/tex], then
[tex](x-4)|x-4| = (x-4)(x-4) = x^2 - 8x + 16[/tex]
On the other hand, if [tex]x-4<0[/tex], then
[tex](x-4)|x-4| = -(x-4)(x-4) = -(x-4)^2 = -x^2 + 8x - 16[/tex]
What you first suggested is incorrect. We have
[tex]x^2 - 16 = (x - 4) (x + 4)[/tex]
but [tex]|x-4| \neq x + 4[/tex].
We can show this using the definition again. If [tex]x-4\ge0[/tex], then
[tex]x-4 = x+4 \implies -4=4[/tex]
which is a contradiction; on the other hand, if [tex]x-4<0[/tex], then
[tex]-x+4 = x+4 \implies 2x = 0 \implies x =0[/tex]
holds for only one value of [tex]x[/tex].