Answers
Answer:
a. x = 10
b. x = 3/5
c. x = 16
d. x = 21/32
Step-by-step explanation:
For all of these problems, it would be simpler to get rid of the fractions entirely and to do that you need to multiply each part of the equation by the least common denominator (LCD; the first a number or variable that both of the denominators can be divided evenly by((you get it by multiplying the denominators by that number/variable (8*1, 8*2,8*3, etc.) and stop until both denominators are the same)) of what you're adding in this case.Note that if the denominators that you're adding are the same then you just multiply everything by that.Also note that the LCD's do not replace the denominators pf the original equation! Simply multiply the numerators by the LCD and then solve the problem accordingly!a - 2x/3 + (x+3)/3 = 11
For this case, the least common denomimator is 3. Multiply everything by 3. This leaves 2x + x+3 = 33. Combine like terms. 3x+3 =33 Subtract 3 from 33, leaving 30 and finally divide 30 by 3x to get 10, your answer.b - 3/x + 6/x = 15
Multiply everything by x. This leaves 3 + 6 = 15x. Combine Like Terms so 9 = 15x. Divide 9 by 15, leaving x to be 9/15, or 3/5 when simplified (both 9 and 15 can be divided by 3).c - x/2 + x/8 = 10
In this case, the LCD is 16. So multiply everything by 16, leaving 16x/2 + 16x/8 = 160. Simplify, leaving 8x + 2x = 160. Combine like terms, so 10x = 160. Divide 160 by 10, leaving you with 16.d - 4/x + 5/4x = 8
The LCD isn't always going to be a number as seen here and in b, but they were the same as if it were a number. Here the LCD is 4x so multiply everything by 4x. This leaves you with 16x/x +20x/4x = 32x. Simplify accordingly, leaving you with 16 (x variables cancel) + 5 =32x. Simplify yet again, leaving 21 = 32x. Divide 21 by 32, leaving you with 21/32 as your answer (the answer can't be simplified further).Apologies for the long explanations--it's not something I do very well.
Related Questions
Suppose there is a 1.8 Farenheit drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 62.4 farenheit , what will be the temperature when the plane reaches an altitude of 8,000 ft. ?
Answers
Answer:
48° FStep-by-step explanation:
Let the altitude on the ground be 0 ft
Temperature at 8000 ft is:
62.4 - 1.8°*(8000 - 0)/1000 = 62.4 - 1.8*8 =62.4 - 14.4 =48° FAnswer:
anyone seen joel
Step-by-step explanation:
Two savings accounts earn simple interest. Account A has a beginning balance of $500 and grows by $25 per year. Account B has a beginning balance of $750 and grows by $15 per year.
Answers
Answer:
After 25 years both the accounts will have the same balance.
Step-by-step explanation:
Let t years, both the account will have the same balance.
As account A has a beginning balance of $500 and grows by $25 per year.
So, the total balance of account A after t years = 500+25t
Similarly, account B has a beginning balance of $750 and grows by $15 per year.
So, the total balance of account A after t years = 750+15t
As both the accounts has the same balance, so
500+25t= 750+15t
25t-15t=750-500
10t=250
t=250/10
t=25 years
Hence, after 25 years both the accounts will have the same balance.
Find the slope of the line.
Answers
Answer:
-1/2
Step-by-step explanation:
rise/run
-1/2
hope this helps <3
Rise over run would be 1/2 but it’s a descending line so it’s -1/2
Nicholas wants to buy a new computer that is on sale for $899. His parents will loan him the money if he repays them. He has $225 in his savings account and plans to work as a camp counselor to earn money during the summer. If he earns $35 per day, how many days will Nicholas have to work in order to fully repay his parents?
Answers
Answer:
20 days
Step-by-step explanation:
899- 225= 674
674÷ 35= 19.257....
which you would round it up to 20 because he would have to work the extra day because you need more than less.
Simplify 7x^2+10x^2+5y^3
A.) 22x^2 y^3
B.) 17x^2 + 5y^3
C.) 22x^4+y^3
D.) 17x^4 y^3+5
Answers
Answer. 17x^2+5y^3
Step by step explanation:
7x^2+10x^2+5y^3 Collect like terms by adding their coefficients
(7+10)x^2+5y^3 Add the numbers
17x^2+5y^3
Which expression is equivalent to
1/5 m - 20 ?
A: 1/5 (m - 4)
B: 1/5 ( m - 100)
C: 5(m - 4)
D: 5(m- 100)
Answers
Answer:
It's A I believe, if not then its B. hope that this helps :D
Step-by-step explanation:
The side lengths of triangle ABC are 3, 4, and 5. Which set of ordered pairs form a triangle that is congruent to
triangle ABC?
(-3,1),(-3,5),(0,5)
(1,-2),(1,3),(4,3)
(6,-3),(1,-3),(6,1)
(1,3),(1,4),(5,1)
Answers
Answer:
Im pretty sure the answer is C because there is a side that is 3, a side that is 4, and a side that is 5
Step-by-step explanation:
Answer:
The answer is A or (-3,1),(-3,5),(0,5)
Step-by-step explanation:
I guessed on E d g e (2021) and got it right :)
Pls tell me the answer,,,
Answers
Answer:
I think 3
1
hope it helps.
Answer:
the B Number is the correct answer because 0 is in the gap in 3
Can someone help me with B?
Answers
its kinda hard but when I closed your screen I didn't see any questionsir
4.b) A strawberry order costs $241.50. How many pounds did the grocer order?
Answers
Answer:
175
Step-by-step explanation:
because you have 1.38 per pound and 241.50 divded by that = 175
(IMAGE) PLEASE HELPPPPPP
Answers
If f(x)=3x−2 and g(x)=x2−5, what is g(f(2))?
Answers
Answer:
g(f(2)) = 11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3x - 2
g(x) = x² - 5
Step 2: Find g(f(2))
f(2)
Substitute in x: f(2) = 3(2) - 2Multiply: f(2) = 6 - 2Subtract: f(2) = 4g(f(2))
Substitute in x: g(4) = 4² - 5Exponents: g(4) = 16 - 5Subtract: g(4) = 11Answer:
Step-by-step explanation:
g(f(2))=11
Please help! Answers only please! Thx!
Answers
Answer:
2 cups
Step-by-step explanation:
Which of the points shown below are on the line given by the equation Y = X +3? Check all that apply. A). Point A : (-1, 2) B). Point B : (-1, -2) C). Point C : (2, 5) D). Point D : (-3, 0) Please No jokes I really need help :))
Answers
Answer:
Point APoint CPoint DStep-by-step explanation:
The points are in the format (x , y) so given x which is the first figure, you can find y by following the formula.
Y in the point needs to satisfy the criterion of X + 3.
Point A
x = -1
y = x + 3
= -1 + 3
y = 2
Point A satisfies the equation as y from the equation is y in the point given.
Point B
x = -1
y = x + 3
= -1 + 3
y = 2
Point B does not satisfy the equation and so is not on the line.
Point C
x = 2
y = 2 + 3
y = 5
Point C satisfies the equation as y from the equation is y in the point given.
Point D
x = -3
y = -3 + 3
y = 0
Point D satisfies the equation as y from the equation is y in the point given.
Express 46,100,000 in scientific notation.
Answers
Answer:
4.61*10^7
Step-by-step explanation:
There are 7 places we need to show.
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 9N acts on a certain object, the acceleration of the object is 3 m/s2 . If the force is changed to 6N , what will be the acceleration of the object?
Answers
Answer:
The acceleration is 2m/s^2
Step-by-step explanation:
Given
Variation: Direction Variation
Represent Force with F and Acceleration with A
When
[tex]F= 9N; A=3m/s^2[/tex]
Required
Find A when F =6N
The variation can be represented as:
[tex]F \alpha A[/tex]
Convert to an equation
[tex]F = kA[/tex]
Where
[tex]k = variation\ constant[/tex]
When
[tex]F= 9N; A=3m/s^2[/tex]
We have:
[tex]9N = k * 3m/s^2[/tex]
Solve or k
[tex]k = \frac{9N}{3m/s^2}[/tex]
[tex]k = 3kg[/tex]
When
[tex]F = 6N[/tex]
We have:
[tex]F = kA[/tex]
Substitute 6N for F and 3kg for k
[tex]6N = 3kg * A[/tex]
Solve for A
[tex]A = \frac{6N}{3kg}[/tex]
[tex]A = 2m/s^2[/tex]
Explain how to estimate the quotient using compatible numbers.
27 2/3 divided by 3 9/10
Answers
Answer:
~7
Step-by-step explanation:
We can estimate 27 2/3 to be 28 because it is only 1/3 away from a whole number. Similarly, we can estimate 3 9/10 to be 4 because it is only 1/10 away from a whole number. Dividing the two, we get:
(27 2/3)/(3 9/10) = ~28/4 = ~7
We can estimate that the quotient of (27 2/3)/(3 9/10) will be about 7.
I hope this helps! :)
Use the graph of f to estimate the local maximum and local minimum. (5 points)
A piecewise graph is shown with a line increasing to 0,-2 terminating at that point and a curve starting at 0,0 and intercepting the x axis at 0, pi, and 2pi.
a) Local maximum: (0,-2); local minimum: (0,0) and (π,0)
b) Local maximum: pi ; local minimum: three pi over two, negative 1
c) Local maximum: (0,0) and pi over two, 1 ; local minimum: (0,0) and three pi over two, negative1
d) Local maximum: (0,0) and pi over two,1 ; local minimum: three pi over two, negative1
Answers
Answer:
b) Local maximum: pi ; local minimum: three pi over two, negative 1
[tex]local \: maximum = ( \frac{\pi}{2} \: \: \: 1) \\ local \: minimum = ( \frac{3\pi}{2} \: \: \: - 1)[/tex]
did you hear about the kidnapping?
he woke up
Answers
Answer:
69,420
Step-by-step explanation:
._. you stole the egg from the chicken didn't you
he woke up bc you threw the egg at his face
kid + napping... ok i get it now im slow
2b + 9 when b = 3 I Really need help in math
Answers
Step-by-step explanation:
=2b+9
=2×3+9
=6+9
=15
hope it helps.
Please help me :(, I want to understand how to prove it
Answers
Answer:
We know that angels 5 and 6 are vertical angles, and that vertical angles are equal. We also know that angles 7 is equal to angle 6, in turn meaning that angle 7 is also equal to angle 5. Now we look at angle 8. We can see that angle 8 is vertical to angle 7, meaning its also equal to angle 7. We already established before that angle 7 is equal to angle 5, so if angle 8 is equal to angle 7 which is equal to angle 5. Then angle 8 is equal to angle 5.
Hope this helps! Message me if you still don't understand
Answer:
basta ver os ângulos e ver oque sobrar e sua resposta boa noite espero ter ajudado
someone can answer this?
x + y + 2 and x - y - 1
Answers
2x-2y+1
Step-by-step explanation:
you will add ir subtarct like terms only
Answer:
2x - 6y
Step-by-step explanation:
u have to divide
Jordan bought 9 pounds of fruit. He paid $2.39 a pound for 5 pounds. He paid $1.99 a pound for the rest. How much did Jordan spend on fruit?
Answers
2.39 x 5 = 11.75
9-5=4
4 x 1.99 = 3.98
11.75+3.98 = 15.73 dollars
this was pretty simple it's kind of like the other one I in the past
Answers
Answer:
72 sec im srry if its wrong i cant see it good
Step-by-step explanation:
What is X?[tex]\frac{x-2}{3} = \frac{-7}{18}[/tex]
Answers
Answer:
x = 5/6
Step-by-step explanation:
Cross multiply.
18(x - 2) = 3(-7)
Divide both sides by 3.
6(x - 2) = -7
Distribute the 6.
6x - 12 = -7
Add 12 to both sides.
6x = 5
Divide both sides by 6.
x = 5/6
Answer: x = 5/6
[tex]\dashrightarrow\:\:\sf \dfrac{x - 2}{3} = \dfrac{-7}{18} \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf (x - 2) \times 18= -7 \times 3 \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf 18x - 36 = -21 \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf 18x = -21 + 36\\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf 18x = 15\\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf x = \dfrac{15}{18} \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf x = \dfrac{5}{6} \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\: \underline{ \boxed{\textsf{\textbf{x $\approx$ 0.84}}}}\\ \\ \\ [/tex]
please help will give brainliest!
Answers
Answer:
180= 58 +58 +x
x= 180 -116
64
If y < -2x + 10 which of the following are viable solutions?
Answers
Answer:
y < 12x
....................
The shaded region in the graph of y < -2x + 10 represents the viable solution ordered pairs.
What is a expression? What is a mathematical equation? What is inequality?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. An inequality is used to compare two or more mathematical expressions.
We have the following inequality -
y < -2x + 10
We can write -
y < -2x + 10
Refer to the graph of the inequality attached. The shaded region represents the viable solution ordered pairs.
Therefore, the shaded region in the graph of y < -2x + 10 represents the viable solution ordered pairs.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
Giving brainliest!!!!!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
The correct answer is D because 7 plus 3 is 10, not 11
If one angel of a triangle is acute, and a second angle of the triangle is obtuse, then the third angle of the triangle must be
Answers
Answer:
obtuse
Step-by-step explanation:
The coordinate plane shows Line A B.
What is the length of the line segment?
Answers
Answer:
13
Step-by-step explanation:
The length of the line segment is 13 unit.
What is a line segment?A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).
If the ray lies onto the considered line segment(overlapping), then it can be said belonging to the considered line segment.
(line segment has 2 fixed ends, whereas a ray has one end only, other end is not fixed)
We are given that coordinate plane shows Line A B.
We need to find the length of the line segment.
We can see that the graph has 1 unit equal to 1 cm.
Then the coordinate for Point B is (5, 13)
The length of the line segment is 13 unit.
Learn more about line segment here:
https://brainly.com/question/14186383
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