Answers
24=(4x-12)/2=2x-6 (using the distributive property). Adding 6 to both sides, we get 30=2x and by dividing both sides by 2 we get 15=x
Related Questions
write the ratio six to seven in other ways
Answers
a to b
a/b
a:b
so ur ratio 6 to 7 can be written as 6/7 or 6:7
The two dotes :
_to_
TRUE OR FALSE:if a function uses variables other than x and y for its input and output variables, you take the original and solve for the output variable to find the inverse.
Answers
Answer: False for apex
Step-by-step explanation: 1. because it is
2. for the junior monitor that deleted my answer, back off.
Answer:
false for apex
Step-by-step explanation:
Which of the following inequalities contains points only in the first and second quadrants?
y > 4x2 − 1y ≤ 2x2 + 1y > −2x2 + 3y > 2x2 − 3x + 2
Answers
If it takes six men six days to dig six holes, how long will it take one man to dig half a hole?
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It will take 3 days for 1 man to dig half of that complete hole.
What are direct and inverse proportion ?Direct proportion if increase in one quantity also results in increase in another quantity for example price and weight of something.
Inverse proportion is when increase in one quantity results in decrease in another quantity for example time is inversely proportional to (speed when distance is constant.
According to the given question
6 men are working together then it takes them 6 days to dig 6 holes.
∴ Number of men days = 6 days × 6 men = 36 men days
So, in 36 men days 6 holes are dug. Now the men days and the number of holes being dug are in direct proportion with one another.
Hence number of men-days required to dig one hole
= 36/6 men days
= 6 men days
∴ No. of men days required to dig half a hole
= 6/2
= 3 men days
So, It takes 1 man 3 days to dig half a hole.
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What is the distance between -3 and 6?
-9
-3
3
9
Answers
Hope this helps!
1/3(9-6m)+1/4(12m-8)
Answers
Answer:
[tex]m+1[/tex]
Step-by-step explanation:
The question is
Simplify the expression
we have
[tex]\frac{1}{3}(9-6m)+\frac{1}{4}(12m-8)[/tex]
using the distributive property
[tex]\frac{1}{3}(9)-\frac{1}{3}(6m)+\frac{1}{4}(12m)-\frac{1}{4}(8)[/tex]
[tex]3-2m+3m-2[/tex]
Combine like terms
[tex]m+1[/tex]
Use the graph below to fill in the blank with the correct number
Answers
The answer is 1. If we go to where the x-coordinate is 1, we see that there is a point with a y-coordinate of 1.
Hope this helps!
If h(x) = 5 for the function h(x) = 2x + 1, what is the value of x?
Answers
5 = 2x+1
4 = 2x
2 = x
We can check this by putting x = 2 in the original equation.
5 = 2(2)+1 Which is true.
If you have any questions just ask!
A person 6 ft tall casts a shadow 5ft long. at the same time, a nearby tree casts a shadow 31 ft long. find the height of the tree
Answers
Therefore, the tree's height is 37.2 feet.
We can use proportions to find the height of the tree based on the shadow it casts and compare it to the height and shadow of a known object (in this case, a person). Given that a person 6 ft tall casts a 5 ft long shadow, we can set up a proportion with the tree's 31 ft long shadow to find its height. The formula we use for this comparison is:
Person's Height / Person's Shadow = Tree's Height / Tree's Shadow
Plugging in the numbers:
6 ft / 5 ft = Tree's Height / 31 ft
Now, we solve for the Tree's Height:
6 ft * (31 ft / 5 ft) = Tree's Height
Tree's Height = 37.2 ft
Therefore, the height of the tree is 37.2 feet.
If someone could help me!
Answers
The domain is the set of allowed inputs (x). The points on this graph have x coordinates that span from x = 0 to x = 35. Because x is time in minutes, we can have fractions of a minute (eg: x = 7.5 ---> 7 and a half minutes). So we won't just have integers.
Take -4 + 3a 2 from 7a - a 2
Answers
then to simplify this to get 2
to simpify you must move all terms to the left side,then set equal to 0 then set each factor to equal zero
Subtracting [tex]\( -4 + 3a^2 \)[/tex] from [tex]\( 7a - a^2 \)[/tex] yields [tex]\( 7a - 3a^2 + 4 - a^2 \)[/tex], after distributing the subtraction and combining like terms.
To subtract [tex]\( -4 + 3a^2 \)[/tex] from [tex]\( 7a - a^2 \)[/tex], we need to distribute the subtraction across both terms in [tex]\( 7a - a^2 \)[/tex] and then combine like terms:
[tex]\[ (7a - a^2) - (-4 + 3a^2) \][/tex]
Distributing the subtraction:
[tex]\[ 7a - a^2 + 4 - 3a^2 \][/tex]
Now, combine like terms:
[tex]\[ (7a - 3a^2) + (4 - a^2) \][/tex]
So, the result of subtracting [tex]\( -4 + 3a^2 \)[/tex] from [tex]\( 7a - a^2 \)[/tex] is [tex]\( 7a - 3a^2 + 4 - a^2 \)[/tex].
Comlpete Question:
Take [tex]\( -4 + 3a^2 \)[/tex] from [tex]\( 7a - a^2 \)[/tex]
Solve the following system of linear equations. 3x + 2y = 10 2x + 3y = 15/2 No solution y = (-3/2)x + 5 x = 3, y = -1/2 x = 3, y = 1/2
Answers
The solution of the equations is the point(3,1/2)
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: 3x + 2y = 10 2x + 3y = 15/2 Solving the two equations we get
the solution as x=3 and y=1/2
Hence, the solution of the equations is the point(3,1/2)
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Final answer:
Using the elimination method, we solved the system of linear equations to find that the solution is x = 3 and y = 1/2.
Explanation:
The student is asking us to solve a system of linear equations. The equations given are:
3x + 2y = 10
2x + 3y = 15/2
To solve these equations, we can use either substitution or elimination method. Let's go ahead with the elimination method to find the values of x and y.
Multiply the first equation by 3 and the second equation by 2 to make the coefficients of x the same:
9x + 6y = 30 (multiplying the first equation by 3)
4x + 6y = 15 (multiplying the second equation by 2)
Now, subtract the second equation from the first equation to eliminate y:
9x + 6y - (4x + 6y) = 30 - 15
5x = 15
x = 3
Now plug x=3 into the first original equation:
3(3) + 2y = 10
9 + 2y = 10
2y = 1
y = 1/2
Therefore, the solution to the system of equations is x = 3 and y = 1/2.
Which term describes the set of all possible outcomes for a probability event?
Answers
Find the area of the shaded region. Show all work in order to receive credit.
Answers
area of square = 14^2 = 196 square cm
area of circle = 3.14 *7^2 = 153.86 square cm
196 - 153.86 = 42.14 square cm is shaded
How many license plates can be made using 2 digits then 5 letters if repeated digits and letters are not allowed?
Answers
There is 10 kinds of digits (0-9) and 26 kinds of letters (a to z). So, 2 digits and 5 letter would be:
(10 * 9) * (26 * 25 * 24 * 23 * 22)= 710424000 kinds of license plates
You have $200 in your savings account. You take $35 from your account each week for four weeks. How much is left in your account at the end of the four weeks?
Answers
3x4=140
140-200=60
35 dollars * 4 weeks = 140 dollars
subract this from 200, and at the end of the week you will have 60 dollars.
A rectangular athletic field is twice as long as it is wide. if the perimeter of the athletic field is 192 yards, what are its dimensions
Answers
P = 192
L = 2W
192 = 2(2W + W)
192 = 2(3W)
192 = 6W
192/6 = W
32 = W <=== the width is 32 yards
L = 2W
L = 2(32)
L = 64 <=== the length is 64 yards
if last years sales were $200,000 and this years increase was 250% how much are this years sales
Answers
Answer:
$700000
Step-by-step explanation:
We are given that last year sales=$200,000
This year sales increases=250%
We have to find the earn money from this year sales
Let x be the earn money in this year
According to question
[tex]\frac{250}{100}\times 200000+200000=x[/tex]
[tex]x=500000+200000=700000[/tex]
Hence, this year sales=$700000
When the towels from a hotel were divided evenly among 5 laundry baskets, each basket contained 18 towels. Which equation, when solved, will show how many towels there were in all? t ÷ 5 = 18 5 ÷ t = 18 90 ÷ t = 18 18 – t = 5
Answers
you are dividing t (the number of towels) into 5 different laundry baskets, each resulting in 18 being put inside
Therefore, your equation is t/5 =18, whereas t = 90
hope this helps
t/5 = 18
t = 18 * 5
t = 90 <== there were a total of 90 towels
There are 3 drama movies 8 comedy movies and 4 action movies what's the ratio of dramas to movies ?
Answers
How I got that was add all of the 3 types of movies together. 3+8+4= 15. And there are 3 drama movies. So I looked at "the ratio of DRAMA, to MOVIES.", and I wrote down what was first.
I'm not sure if I made sense, sorry. But
Expand the following using either the Binomial Theorem or Pascal’s Triangle. You must show your work for credit. (x - 5)5
Answers
[tex]\bf (x-5)^5\implies \begin{array}{llll} term&coefficient&value\\ -----&-----&-----\\ 1&+1&(x)^5(-5)^0\\ 2&+5&(x)^4(-5)^1\\ 3&+10&(x)^3(-5)^2\\ 4&+10&(x)^2(-5)^3\\ 5&+5&(x)^1(-5)^4\\ 6&+1&(x)^0(-5)^5 \end{array}[/tex]
notice, with the binomial theorem, you start the first element with the highest exponent, in this case 5, and the second element with 0, and then you gradually decrease it by 1 to the first one and increase it by 1 to the second one.
That part is rather simple, now, to get the coefficient, the 1st coefficient is 1 for one, to get the next one is "the product of the current coefficient and the exponent of the first element, divided by the exponent of the second element on the next term"...which is a mouthful...but anyway ... for example
how did we get 10 for the 3rd term? 5 * 4 / 2
how did we get 10 again for the 4th term though? 10 * 3 / 3
and the 5th coefficient? 10 * 2 / 4
and so on.
so, just combine those, and that's the expansion for that binomial.
Answer:
The expansion is [tex](x-5)^5= x^5-25x^4+250x^3-1250x^2+3125 x-3125[/tex]
Step-by-step explanation:
Given : Expression [tex](x-5)^5[/tex]
To find : Expand the following using either the Binomial Theorem or Pascal’s Triangle?
Solution :
Applying binomial theorem,
Defined as [tex](p+q)^n=\sum_{r=0}^{n} ^nC_rp^{n-r} q^r[/tex]
Where, [tex]^nC_r=\frac{n!}{(n-r)!r!}[/tex]
Now, expanding [tex](x-5)^5[/tex] by binomial formula,
We have,
[tex](x-5)^5=\sum_{r=0}^{5} ^5C_rx^{5-r} (-5)^r[/tex]
Open the summation,
[tex]\Rightarrow ^5C_0 x^{5-0} (-5)^0 + ^5C_1 x^{5-1} (-5)^1 + ^5C_2 x^{5-2} (-5)^2 + ^5C_3 x^{5-3} (-5)^3 \\+ ^5C_4x^{5-4} (-5)^4 + ^5C_5x^{5-5} (-5)^5[/tex]
[tex]\Rightarrow (1)(x^5)(1)+(5)(x^4)(-5)+(10)(x^3)(25)+(10)(x^2)(-125)+(5)(x^1)(625)+(1)(1)(-3125)[/tex]
[tex]\Rightarrow x^5-25x^4+250x^3-1250x^2+3125 x-3125[/tex]
Therefore, The expansion is [tex](x-5)^5= x^5-25x^4+250x^3-1250x^2+3125 x-3125[/tex]
Compare and contrast equation notation and function notation
Answers
An equation makes use of the equality (=) sign.
An example of an equation is x + 6 = 46.
A function is a mathematical machine whose purpose is to transform input variables into output according to the function rule.
A function can be described by an equation, a graph, a program, a table, etc.
An example of a function is y = 2x - 5.
A taxi charges $2.50 for the first mile and $0.40 for each mile after that. The expression below shows how to find the total cost, in dollars, of a 20-mile taxi ride. 2.50 + 0.40 (20 - 1) What is the cost of the ride?
Answers
Answer:
Step-by-step explanation:
Alright , lets get started.
The first mile charge = [tex]$2.5[/tex]
Total miles taxi covered = [tex]20[/tex]
Subtracting first mile frm the total ride = [tex](20-1)[/tex]
Means the fare will apply on this mile.
So, cost of total ride = [tex]2.5 + 0.4 (20-1)[/tex]
cost of total ride = [tex]2.5+0.4*19[/tex]
cost of total ride = [tex]2.5+7.6[/tex]
cost of total ride = [tex]10.1[/tex]
The answer is $ 10.1 . : Answer
Hope it will help :)
Answer:
10.10 (B)
Step-by-step explanation:
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Graph Jkl and its image after a reflection in the given line J(5,3), K(1,-2), l(-3,4); y-axis
Answers
So this yields J(-5,3), K(-1,-2), I(3,4)
When a shape is reflected, it must be reflected across a line.
See attachment for the graphs of JKL and the image of JKL
The coordinates of JKL are given as:
[tex]J = (5,3)[/tex]
[tex]K = (1,-2)[/tex]
[tex]L = (-3,4)[/tex]
The rule of reflection across the y-axis is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]J' =(-5,3)[/tex]
[tex]K' =(-1,-2)[/tex]
[tex]L' = (3,4)[/tex]
See attachment for the graphs of JKL and the image of JKL
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What is the solution to the compound inequality in interval notation? 2(x+3)>6 or 2x+3≤−7
Answers
hope this helps
Answer: The required solution in interval notation is [tex](0,\infty)U(-\infty,-5].[/tex]
Step-by-step explanation: We are given to find the solution to the following compound inequality in interval notation :
[tex]2(x+3)>6~or~2x+3\leq -7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the solution to (i), we must solve both the parts separately.
The inequality (i) can be solved as follows :
[tex]2(x+3)>6\\\\\Rightarrow x+3>\dfrac{6}{2}\\\\\Rightarrow x+3>3\\\\\Rightarrow x>3-3\\\\\Rightarrow x>0\\\\\Rightarrow x\epsilon (0,\infty)[/tex]
or
[tex]2x+3\leq-7\\\\\Rightarrow 2x\leq-7-3\\\\\Rightarrow 2x\leq -10\\\\\Rightarrow x\leq -\dfrac{10}{2}\\\\\Rightarrow x\leq-5\\\\\Rightarrow x\epsilon(-\infty,-5].[/tex]
Thus, the required solution in interval notation is [tex](0,\infty)U(-\infty,-5].[/tex]
How you will go about preparing yourself to confidently teach numeracy?
Answers
In preparation of yourself in having to teach numeracy, it is best to substantiate if learning the numeracy will have benefits or advantages, such as having to help other people or even empower them as an adult people learning and think of ways how will this could be important to them.
Joe has $1,800 from his summer job to invest. If Joe wants to have $2,340 altogether and invests the money at 5% simple interest, in how many years will Joe have $2,340?
Answers
The first aircraft has 75 more seats than the second aircraft. The third aircraft has 49 fewer seats than the second aircraft. If their total number of seats is 401, find the number of seats for each aircraft.
Answers
1st = 75+x
2nd = x
3rd = x-49
401 = 75 +x+ x+ +x-49
401 = 75+3x-49
401 = 3x+26
375=3x
x=375/3 = 125
1st = 125+75 = 200
2nd = 125
3rd = 125-49 = 76
200 + 125 +76 = 401
solve for n
4n + 2 = 6 (1/3n - 2/3)
Answers
The solution of expression for the value of n is, n = - 3.
Used the concept of expression that states,
Mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that,
The expression is,
[tex]4n + 2 = 6 (\dfrac{1}{3} n - \dfrac{2}{3} )[/tex]
Now simplify the expression by combining like terms and apply the distributive property as,
[tex]4n + 2 = 6 (\dfrac{1}{3} n - \dfrac{2}{3} )[/tex]
Apply distributive property,
[tex]4n + 2 = (\dfrac{6}{3} n - \dfrac{12}{3} )[/tex]
[tex]4n + 2 = 2n - 4[/tex]
Combine like terms,
[tex]4n - 2n = - 4 - 2\\[/tex]
[tex]2n = - 6\\[/tex]
[tex]n = - 3[/tex]
Therefore, the value of n is - 3.
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Simplify
Y+ z -2y. If y=4 and z=2
Answers
(4) + (2) - 2(4)
4 + 2 - 8
6-8
-2
Hope this helped!