Answer:
6x * 1/2 - 3 (* means multiplying)
Step-by-step explanation:
In this problem, you are using communitive property and so you are just changing the problem to an equal situation.
The equivalent expression of 4x + 1/2 + 2x - 3 is 6x - 8/3.
What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the expression -
4x + 1/2 + 2x - 3
We have the following expression -
4x + 1/2 + 2x - 3
Solving further -
4x + 2x - 3 + 1/3
6x + 1/3 - 3
6x + (1 - 9)/3
6x - 8/3
Therefore, the equivalent expression of 4x + 1/2 + 2x - 3 is 6x - 8/3.
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Elijah buys a one-pint bottle of juice for $2.88. What is the unit rate of the cost of the juice per fluid ounce?
Answer: 20
Step-by-step explanation:
12
A particle moves along a line so that its position at any time is t greater than or equal to 0 is given by s(t)=-t^2+t+2 where s is measured in meters and t is measured in seconds. A) what is the initial position of the particle? B) find the velocity of the particle at any time t. C) find the acceleration of the particle at any time t. D) find the speed of the particle at the moment when s(t)=0.
Answer:
A) The initial position of the particle is 2 meters.
B) The velocity of the particle at any time t is represented by [tex]v(t) =-2\cdot t +1[/tex].
C) The acceleration of the particle at any time t is represented by [tex]a(t) = -2[/tex].
D) The velocity of the particle at the moment when [tex]s(t) = 0\,m[/tex] is -2 meters per second.
Step-by-step explanation:
A) From statement we know that [tex]s(t) = -t^{2}+t+2[/tex], where [tex]t[/tex] is the time, measured in seconds, and [tex]s(t)[/tex] is the distance, measured in meters. The initial position of the particle is calculated by evaluating the function presented above at [tex]t=0\,s[/tex]. That is:
[tex]s(0) = -(0)^{2}+(0)+2[/tex]
[tex]s(0) = 2\,m[/tex]
The initial position of the particle is 2 meters.
B) According to the Theory on Kinematics, we see that velocity is the rate of change of position in time. In other words, we need to derive the equation once:
[tex]v(t) =-2\cdot t +1[/tex] (1)
Where [tex]v[/tex] is the velocity, measured in meters per second.
The velocity of the particle at any time t is represented by [tex]v(t) =-2\cdot t +1[/tex].
C) And the acceleration is the rate of change of velocity in time. In other words, we need to derive the equation above:
[tex]a(t) = -2[/tex] (2)
The acceleration of the particle at any time t is represented by [tex]a(t) = -2[/tex].
D) At first we solve the function position for [tex]s = 0[/tex], that is:
[tex]-t^{2}+t+2=0[/tex] (3)
[tex](t-2)\cdot (t+1)=0[/tex]
The only reasonable root of the polynomial is [tex]t = 2\,s[/tex].
And now we evaluated the velocity function at given result:
[tex]v(2) = -2\cdot (2) +2[/tex]
[tex]v(2) = -2\,\frac{m}{s}[/tex]
The velocity of the particle at the moment when [tex]s(t) = 0\,m[/tex] is -2 meters per second.
one-third of a number, decreased by 36, is at most 22 find the number
Answer: x = 174, and x < 174.
Let the number be x.
Then 1/3 of the number = 1/3*x
1/3*x is decreased by 36 is the same as 1/3*x - 36
If 1/3*x - 36 is at most 22, we can write:
1/3*x - 36 is less than or equal to 22.
Therefore,
1/3*x - 36 <= 22
1/3*x - 36 = 22 (i), and 1/3*x - 36 < 22 (ii)
From (i):
1/3*x = 22 + 36 = 58, or x = 58 * 3 = 174.
From (ii):
1/3*x < 22 + 36 = 58, or x < 58 * 3 , or x < 174.
Therefore,
x = 174, and x < 174.
The sum of two numbers is 11 and their difference is 9
Answer:
10 and 1
Step-by-step explanation:
10+1=11 and the difference of 10-1 is 9
Need help asap with geometry!
Answer: C
Step-by-step explanation:
Obtuse angles are greater than 90 degrees
Please Help Me With This Please!
Answer:
d:113 sq in
Step-by-step explanation:
how do I find the answer to -40+(25)-(-80)=?
Answer:
simplify the expression the answer would be 65.
Step-by-step explanation:
hope this helps.
Answer:
65
Step-by-step explanation:
I used a calculator if I used my brain it would be wrong.
Miguel is calculating the slope of a line of best-fit in the scatterplot below. On a graph, points Q and V would be on the trend line. Which pair of points would be best for Miguel to use? P and W Q and V R and U S and T
Answer:
The answer is B Q and V
Step-by-step explanation:
Answer:
The answer is B Q and V
Step-by-step explanation:
I did it
Write your answer in simplest form 7/6÷2
Answer:
7/12
Step-by-step explanation:
7/6÷2
7/6÷2/1
7/6*1/2
7/12
Answer:
7/12
Step-by-step explanation:
7/6 ÷ 2
7/6 * 1/2
=7/12
can someone give the answer and explain cause im confused. will try to mark brainliest
Answer:
bro got you
x>-6
Step-by-step explanation:
[tex]\bold{x}[/tex] ≥ [tex]\bold{-6}[/tex]
Solution Steps:______________________________
1.) Add 7 to both sides:[tex]-7+7=[/tex] Cancels Out[tex]11+7=18[/tex]- We have to get rid of both numbers on each side, so to do so, we do the opposite of what we see: Since we have a negative 7, we add 7 on each side.
Equation at the end of Step 1:
[tex]-3x[/tex] ≤ [tex]18[/tex]2.) Divide both sides by -3:[tex]-3[/tex] ÷ [tex]-3=[/tex] Cancels Out[tex]18[/tex] ÷ [tex]-3=-6[/tex]- We have to get rid of numbers on each side, so do to so, we do the opposite of what we see. Since we have a negative 3 being multiplied, we divide by -3 instead.
- Since -3 is negative, the inequality direction is changed as well.
Equation at the end of Step 2:
[tex]x[/tex] ≥ [tex]-6[/tex]______________________________
A comparison of two quantities by divison
The perimeter of a rectangle is 46.The length is 7 less than 4 times the width. What are the dimensions of the garden?
answer= 102
Step-by-step explanation:
Given,
Perimeter=46
Let, breadth=X
Then, length = 4X-7
Now,
Perimeter= 2(l+b)
46 = 2(4X-7+X)
46 = 2(5X-7)
(46)÷2 = 5X-7
23+7 = 5X
30 = 5X
30÷5 = X
:-X = 6
Also,
length = 4×6-7 = 17
breadth = 6
Then,
Dimensions = l×b
= 17×6
= 102
Answer:
the width = 6 unitsthe length = 17 unitsStep-by-step explanation:
Let 'w' be the width
The length is 7 less than 4 times the width.so the length = 4w - 7
The formula of the Perimeter is
Perimeter = 2(length + width)
46 = 2(4w - 7+ w)
46 = 2(5w- 7)
46 = 10w-14
46+14 = 10w
60 = 10w
w = 6
Hence,
the width = 6 unitsthe length = 4w - 7 = 4(6)-7= 24-7=17 units Last year Beth's annual salary was $38,350. This year she received a promotion and now earns $46,462 annually. She is paid biweekly.
a.) What was her biweekly salary last year?
b.) What is Beth’s biweekly salary this year?
c.) On a biweekly basis, how much more does Beth earn as a result of her promotion?
Answer:
Quite simple. There are 52 weeks in a year. She gets paid 26 times, every other week.
38,350 / 26 = her salary from last year per check.
46,462 / 26 = her new salary per check
(46,462 - 38,350) / 26 = the difference per week
a. last year Beth's biweekly salary was 1597.91 dollars.
b. This year Beth's biweekly salary is 1935.91 dollars.
c. On a biweekly basis she earns 338 dollars more now as a result of her promotion.
How to convert months into bi-weeks ?One months contains 2 bi-weeks therefore to convert months into bi-weeks we have to multiply the given months by 2.
According to the given question
Last year Beth's annual salary was 38350 dollars.
∴ Her monthly salary was (38350/12) dollars.
= 3195.83 dollars.
She is being paid biweekly meaning twice a month in every two weeks interval.
∴ Her biweekly amount is
=(3195.83/2) dollars
= 1597.91 dollars. (a).
So, her salary last year was 1597.91 dollars biweekly.
This year she received a promotion and now earns 46462 dollars per year.
∴ Her biweekly salary is
= (46462/2×12) dollars. ( as there is 2 bi-weeks in every months)
= 1935.91 dollars. (b).
As a result of her promotion she earns (1935.91 - 1597.91) dollars more as a result of her promotion.
= 338 dollars.
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With a coupon, you can get a pair of shoes that normally costs $84 for only $72. What
percentage was the discount?
Step1: Find the amount of discount
Step2: Find the amount of discount as percentage
Answer:
$12, 14%
Step-by-step explanation:
Find the amount of discount:
84 - 72 = 12
Find the amount of discount as a percentage
12 / 84 = 0.1428
PLEASE HELP! WILL GIVE BRAINLIEST!
It takes 72 pounds of seed to completely plant an 11-acre field. How many pounds of seed are needed per acre? poundsperacre
Answer:
6.54lbs per acre
Step-by-step explanation:
72/11
Solve this equation
y= -3x +3
Answer:
What do you want me to do? It is already solved
Step-by-step explanation:
Use inductive reasoning to predict the next number in the pattern: 832, 208, 52...
A.) 13
B.) -228
C.) -26
D.) 26
Answer:
A) 13 i think
Step-by-step explanation:
832 , 208 , 52
The difference between 832 and 208 is 624 and then the difference between 208 and 52 is 156. If we check the relation between 624 and 156 which is 624/4 = 156 so then if we divide 156 by 4 we get 39 and then subtract 39 from 52 we get 13.
Answer:
13
Step-by-step explanation:
Inductive reasoning is collecting data to make a conjecture.
Statement: "Two triangles with corresponding congruent angles are congruent." Is this statement true or false? *
Answer
FALSE
Step-by-step explanation:
Idk just answer for brainliest
Answer:
3
Step-by-step explanation:
That's the distance per minute
A pair of socks costs $6.95 but they are on sale for 20% off. What is the sale price?
Answer: it would take off would be $1.39 so you would subtract $6.95-$1.39 would be $5.56
Step-by-step explanation:
Answer:
$5.56
Step-by-step explanation:
Determine if you have to add or subtract. Then find out y's value and then x's value.
2x+3y=23
-2x+y=13
Answer:
Add
[tex]x=-2[/tex]
[tex]y=9[/tex]
Step-by-step explanation:
To find the value of [tex]y[/tex], we can add the two equations:
[tex]2x+3y+(-2x+y)=23+13[/tex]
[tex]2x+3y-2x+y=36[/tex]
[tex]4y=36[/tex]
[tex]y=9[/tex]
To find for [tex]x[/tex], we can use substitution:
[tex]2x+3y=23[/tex]
[tex]2x+3(9)=23[/tex]
[tex]2x=-4[/tex]
[tex]x=-2[/tex]
∴ [tex]x=-2,y=9[/tex]
Hope this helps :)
Answer:
you add and the value of y is in the attachment
Step-by-step explanation:
how many times larger is 0.00000600 than 0.00000008
Answer:
100
Step-by-step explanation:
Given that y-2=6, find y+4
[tex]\huge\red{\boxed{Answer}}[/tex]
Given:
y - 2 = 6To find:
y + 4Solution:
find y⇛y - 2 = 6
⇛y = 6 +2
⇛y = 8
substitute 8 in place of y
⇛y + 4
⇛8 + 4
⇛12
12 is the answer
.
What is 6 2/3 • -4 1/5
Answer:
28
Step-by-step explanation:
I need HELP!!!!!!!!!!!! I will make you Brainilest
Im giving you 15 points please help itis due at midnight CT
A letter is chosen from the word ROCK and a standard die is
rolled.
P(a consonant or an odd
number)
Answer:
Idek
Step-by-step explanation:
ask someone or like wait for someone to Answer.Pacific them or
Jack invested some money in a bank at a fixed rate of interest compounded annually. Jack invested 800 dollars at rate of 3%. Which equation below can be used to find the value of his investment after x years?
The answer is on the attachment
on weekends a movie ticket costs $10.50. form an inequality and solve it to find the maximum umber of tickets kate can buy with $205
Answer:
kate can buy 20 tickets
Step-by-step explanation:
hope this helps
i am not sure about the answer
PLZ HELP ME
If line p is parallel to line q what is the measure of angle EFG
Answer:
i think x=3
Step-by-step explanation:
5x+14=19x-28
- 14=19x−28−5x
- 14+28=14x
- 42=14x
(divide)
x=3
Which of the following expressions is equal to -2 · -2 · -2 · -2 · -2 · -2? 6(-2) (-2)6 -26
Answer:
-2
Step-by-step explanation:
2x6= - 2
Answer:
(-2)6
Step-by-step explanation: