Answers
Expanding the expressions, it is found that Amelia is correct.
The first expression is:
[tex]\frac{1}{2}(11x + 24) = \frac{11x}{2} + 12[/tex]
The second expression is:
[tex]-(\frac{1}{2}x + 5) + 6(x + 8)[/tex]
Expanding, applying the operations, it is:
[tex]-\frac{1}{2}x - 5 + 6x + 48[/tex]
[tex]\frac{12}{2}x - \frac{1}{2}x + 43[/tex]
[tex]\frac{11x}{2} + 43[/tex]
In both expression, the slope(term that multiplies x) is the same, but the linear factor of the second expression is greater, hence:
[tex]\frac{11x}{2} + 43 > \frac{11x}{2} + 12[/tex]
And Amelia is correct.
A similar problem is given at https://brainly.com/question/12166019
Related Questions
The largest doll is 12 cm tall. The height of each following doll is ¾ of the height of the next largest doll. Write an expression involving the power for the height of the smallest doll. What is the height of the smallest doll?
Answers
Answer:
Step-by-step explanation:
3/4 of 12
3/4 *12/1= 9
The smallest doll is 9 cm
there are 7 rows of 9 people how many are there in all
Answers
Answer:
63 people
Step-by-step explanation:
1 row = 9 people
7 rows = 7 x 9 = 63 people
-> There are 63 people in total
Hope this helps!
Dr Michael prescribes 300mg a day of medicine to a patient. Each pill has 15mg of medicine. How many pills will the patient need for
Answers
Answer:
20
Step-by-step explanation:
15 x 10 = 150. 150 x 2 = 300. 300mg = 20 pills.
Luisa makes and sells necklaces. The total amount she charges varies directly imeaning it's proportional so it
starts at the
.) to the number of necklaces bought. Find the slope. Then write an equation in y = mx
form to represent the situation.
Number of Necklaces,
3 5 8
Total Charge (S).
$39
$65
$104
Equation
Answers
The proportional equation that represents the situation is:
y = 13x
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
[tex]y = kx[/tex]
In which k is the constant of proportionality, also called slope.
In this problem, the points (number, cost) are: (3,39), (5,65) and (8,104), hence the slope is given by:
[tex]k = \frac{39}{3} = \frac{65}{5} = \frac{104}{8} = 13[/tex]
Hence, the equation is:
y = 13x.
More can be learned about proportional equations at https://brainly.com/question/10424180
The slope of the linear equation is $13 per necklace.
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope (rate of change), and b is the y intercept (initial value of y).
Let y represent the total charge for x number of necklaces.
From the table, using (3, 39) and (8, 104), hence:
m = (104 - 39) / (8 - 3) = 13
The slope of the linear equation is $13 per necklace.
Find out more on Linear equation at: https://brainly.com/question/14323743
PLS HELP QUESTION 8 ASAP ILL GIVE BRAINLIEST
Answers
Answer:
Ryan sold 12 cell phones
Step-by-step explanation:
2000+15x12
Solve for y,if 3+3y=1–13y
Answers
Step 1: Simplify both sides of the equation.
3+3y=1−13y−9
3+3y=1+−13y+−9
3y+3=(−13y)+(1+−9)(Combine Like Terms)
3y+3=−13y+−8
3y+3=−13y−8
Step 2: Add 13y to both sides.
3y+3+13y=−13y−8+13y
16y+3=−8
Step 3: Subtract 3 from both sides.
16y+3−3=−8−3
16y=−11
Step 4: Divide both sides by 16.
16y
16=−11/16
y=−11/16
Answer:
y=−11/16
i need to know which object is moving faster
Answers
Answer:
B
Step-by-step explanation:
It has a not as steep incline
proves that the sum of
5 consecutive natural numbers is divisible by 5
Answers
Answer:
n = 5m + 10 = 5(m + 2), since m + 2 is an integer, then the n is divisible by 5.
Step-by-step explanation:
Answer:
Natural numbers are simply positive integers. For now, refer to the middle number (the third number), as x. Thus, the numbers are: x - 2, x - 1, x, x + 1, and x + 2. Simply add all these numbers to get 5x, a number that is divisible by 5. As such, you can conclude that any 5 consecutive numbers are divisible by 5, and the quotient would be the third, or middle number.
Hope it helps :) and let me know if you want me to elaborate.
An item costs $660. The sales tax rate is 7.5%. What is the amount of sales tax?
Answers
Answer:
49 dollars 50 cents
Step-by-step explanation:
this is easy. Just do 7.5 percent of 660 which is $49.50
Divide. Give the quotient and remainder. 47 ÷ 5
Answers
Answer:
9 Remainder 2 which is also 9.4
Step-by-step explanation:
The closest to a full number would be 9. So do 9*5 to get 45. With a remainder of 2.
Brainliest maybe? I need one more and I level up in rankings.
Answer:
9 remainder 2.
Step-by-step explanation:
5 * 9 = 45
47 - 45 = 2.
help me pls tell methe answer
Answers
x/3
Hope this helped uou, have a good day bro cya)
50 POINTS PLZ HELP What is the common denominator (LCD) of 6 5/7 and 6 1/3?
Answers
Answer:
21Step-by-step explanation:
Denominators of the fractions are 7 and 3, which are mutually prime numbers.
The LCD is the product of 7 and 3:
7*3 = 21Simplify into mixed fraction
[tex]\\ \sf\longmapsto 6\dfrac{5}{7}=\dfrac{47}{7}[/tex]
[tex]\\ \sf\longmapsto 6\dfrac{1}{3}=\dfrac{19}{3}[/tex]
Find LCD
[tex]\\ \sf\longmapsto 7(3)[/tex]
[tex]\\ \sf\longmapsto 21[/tex]
10 + x = 23 please show work and help me please
Answers
Answer:
x equals 13
10 + x = 23
x=23-10
Step-by-step explanation:
A cheerful teen willing to help,
stay salty,
be positive...
help me pls help please???
Answers
Answer:
3 – x
Step-by-step explanation:
A number in this case we will as x. And 3 less than x is -
3 – x
x - 3
Hope i helped ya!
Is the expression a polynomial? If yes, write in standardform, if not state why not
1.
[tex]\frac{2x+3}{x^{2} }[/tex]
2.
[tex]2x+5x^{2} -99[/tex]
3.
[tex](\sqrt{8x^{3}}) +2x^{4}+2+x[/tex]
4.
[tex]15x+4x^{-2}[/tex]
5.
[tex]-3x^{4} +7x+12x^{2}[/tex]
Answers
Answer:
Step-by-step explanation:
1) Not a polynomial. Because x² is in the denominator.
2) Yes, it is a polynomial.
Standard form: 5x² + 2x - 99
3) Not a polynomial.
[tex]\sqrt{8x^{3}} = (8x^{3})^{\frac{1}{2}} = 8^{\frac{1}{2}}x^{\frac{3}{2}}[/tex] .
Power of x is a fraction. so , it is not a polynomial.
4) Power of x is (-2). Power of x should not be a negative integer. SO, it is not a polynomial.
5) Yes:
Standard form: -3x⁴ + 12x² + 7x
Jamie is looking for the rate and unit rate of the following ratio below.
12 napkins costs 20 cents
What is the rate AND unit rate of this ratio?
Answers
Answer: in explanation
Step-by-step explanation:
Rate is simplest form, so 3 napkins for 5 cents.
Unit rate is for 1 x value, so 1 napkin for 0,6 cents.
True or false: This system of equations has no solution.
y=4/32x+2 y=2/16x-1
Answers
as they are parallel, and they have different y-intercepts; they will never cross.
Thus, no solution exists
i= $100.10
p= $1100
r= 10.0%
t= ? years
Answers
Step-by-step explanation:
1 year
thabkyou for brainly
5trig review please help me
Answers
Answer:
Is A
Step-by-step explanation:
Answer:
4).3√42ft
5).√3 yd
.....................
What is the answer to this???
28x^4 / 56x
Please answer asap with explanation
Answers
Answer:
1/2 x3
Step-by-step explanation:
approximate the number ∛-12 to the nearest a) integer and b) tenth
Answers
Answer:
Below in bold.
Step-by-step explanation:
∛-12
The nearest cube to -12 is -8 ( -27 is the next after -12)
a) The answer is -2.
b) we can do this by trial and improvement
It must be between -2 and -3, closer to -2 than 3 so first we guess -2.1
(-2.1)^3 = -9.261
(-2.2)^3 = -10.648
(-2.3)^3 = `2.167 - very close
Answer is -2.3 .
Stephan is having a fundraising and decides to sell some candy. He bought the box for $20, and
charges $0.50 per candy that he sells. How many does he need to sell in order to make a profit?
Answers
Answer: he would need to sell at least 41 candies to make a profit
need help rn plz thanks
Answers
Answer:
Figure RST is congruent is R´S´T´
Step-by-step explanation:
Given that R´S´T is a reflection of RST, we know that is a rigid transformation, so it is congruent (the same size & shape).
simplify 3(3x_2y)_(4x_6y)
Answers
Answer:
5x
Step-by-step explanation:
I think the problem was.
3(3x - 2y) - (4x - 6y)
9x - 6y - 4x + 6y
5x
I basically just have to find the angles but I also want to understand so if you could explain?
Answers
9514 1404 393
Answer:
c = 108°
d = 106°
Step-by-step explanation:
There are 2 basic rules involved here. From them, a number of others can be derived in order to simplify some calculations.
angles forming a linear pair are supplementary (total 180°)interior angles of a triangle total 180°The derived relations we can use in this problem are ...
vertical angles are congruentan exterior angle of a triangle is equal to the sum of the opposite interior angles__
cThe vertical angle to 78° is one of two remote interior angles with respect to exterior angle c. The other is the one marked 30°. That means ...
c = 78° +30* = 108°
__
dAngles d and 30° are two of the three angles in the largest triangle. The third is the vertical angle to 44°, so it is 44°. The sum of angles in that triangle is 180°:
d + 30° +44° = 180°
d = 180° -74° = 106°
Please explained that answer!
Answers
Answer:
f(x)= -1/2x+1
Step-by-step explanation:
The slope is negative because the graph goes up then to the left, making it negative. The slope is also 1 half because the slope is measured by rise over run. It rises once, then goes to the left twice. 1/2. It's also plus 1 because the graph cross the y-intercept at positive 1.
i have no clue how to do this n it’s in f tmrw pls help lol
Answers
Area = w × h
w = width
h = height
The difference between 1/3 of a certain number and 1/4 of the same number is 3. what is that number?
Answers
Answer:
36
Step-by-step explanation:
(1/3)x - (1/4)x = 3
multiply by 12 to clear the fraction
4x - 3x = 36
x = 36
what is the lateral area of this triangular prism
Answers
Answer:
A triangular prism is a three-dimensional shape having two triangular bases and three rectangular sides
Step-by-step explanation:
please help me
17.97 = n/3 − –14
Answers
Answer:
n=11.91
Step-by-step explanation:
