4) Shown below is a series of steps to solve the equation 4x + 2(x - 4) = 28.
Given: 4x + 2(x - 4) - 28
Step 1 = 4x + 2x - 8 = 28
Step 2 => 6x - 8 = 28
Step 3 => 6x - 8 + 8 = 28 + 8
Step 4 = 6x = 36
6x36
Step 5
6 6
Step 6 => x = 6
Which THREE statements are correct?
A) Step 1 is justified by the distributive property.
B) Step 2 is justified by the subtraction property of equality
C) Step 3 is justified by the addition property of equality
D) Step 4 is justified by the additive Identity property.
E) Step 5 is justified by the division property of equality
Find the value please and ty
Answer:
-3
Step-by-step explanation:
The value of f(-3) can be found at looking at the x-value of -3, then drawing a vertical line. If you look at the point where the vertical line hits th graph, you get the point (-3,-3)
The y-value is what we are looking for, which is -3.
-Chetan K
If a(x)=5x^2+7x+4 and b(x)=4x^2+3x+2
Then 4a(x) + 2b(x) =
Answer:
[tex]28x^2+34x+20[/tex]
Step-by-step explanation:
figure out 4a(x) and 2b(x) separately by distributing, and then add them together to get your answer.
hope this helps :)
six tickets were purchased a total cost pf $345. the cost of each ticket includes a $11.25 fee. what was the price of each ticket before the fee was applied?
Answer:
57.50
Step-by-step explanation:
simply divide 345/6 which equals 57.5 which is 57.50
Answer:
price before fee was applied is $46.25
Step-by-step explanation:
$345/6= $57.5
divide total cost by number of tickets bought
$57.5-$11.25= $46.25
subtract the fee applied
Can someone help me!?
Answer:
A
Step-by-step explanation:
Set equation equal to 0
If Olivia solves every sixth math problem and Nora solves every fifth math problem in a worksheet, which question will be the first that they both solve?
Answer:
the 30th question
Step-by-step explanation:
the LCM of 5 and 6 is 30 meaning that the question that they will both do is the 30th question.
Write an equation for the line in point-slope form and then convert it to standard form. through (2, 3) and (3,5)
Answer:
equation of the line: 2x - y = 1
Step-by-step explanation:
Given coordinates: (2, 3) and (3,5)
find slope of the equation:
[tex]\frac{y2-y1}{x2-x1}[/tex]using the formula:
→ [tex]\frac{5-3}{3-2}[/tex]
→ [tex]2\\[/tex] .............this is slope, also refereed as (m) in short form.
using the equation formula:
y - y1 = m ( x - x1 )using the formula:
→ y - 3 = 2 ( x - 2 )
→ y - 3 = 2x - 4
→ y = 2x -4 +3
→ y = 2x - 1
→ -2x + y = -1
→ (-2x + y)/-1 = -1 /-1 [ divide both sides by -1 ]
→ 2x - y = 1 .......final answer in standard form where ( Ax + By = C ) where "A" should be positive and "C" constant on the right hand side.
The area of the isosceles triangle below
Answer:
area:39
Step-by-step explanation:
Can anybody help me with this
Answer:
c ≈ 9.1 m
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
c² = 4.1² + 8.1² = 16.81 + 65.61 = 82.42 ( take square root of both sides )
c = [tex]\sqrt{82.42 }[/tex] ≈ 9.1 m ( to the nearest tenth )
What is the radius and diameter of 11cm
Answer: Radius=11cm Diameter=22cm
Step-by-step explanation:
Graph the solution to this inequality on the number line.
−12≥−4p
Answer:
A closed circle on 3 going right.
Step-by-step explanation:
-12 ≥ -4p
/-4 /-4
3 ≤ p which also mean p ≥ 3
This will be a closed circle on 3 going right.
Hope that helps!
Average house prices in Hobart are expected to grow by 8%
per year for the next 5 years. What is the expected average
value of a house in Hobart in 5 years time, to the nearest
dollar, if it is currently valued at $370000?
Answer:
518000 if it increases 8% per year
Step-by-step explanation:
8 times 5, because there are 5 years, is 40%
we take 40% out of 370000 and we get 148000 then we add 370000 and 148000 together and we get 518000
Which of the following options represents a logical first step that can be used
1
2
to prove the trigonometric identity
1-sin(x) '1+sin(x) cos? (x)
+
?
O
A.
1+sin(x) +1-sin(x)
1-sin(x)
2
cos? (x)
B.
1
1
1
1-sin(x) 1+sin(x)
1
2
cos(x)
C.
2
1
1-sin(x) cos(x) 1+sin(x)
D.
2
1
1+sin(x) cos'(x) 1-sin(x)
Answer:
A) [tex]\frac{1+sin(x)+1-sin(x)}{1-sin^2(x)}=\frac{2}{cos^2(x)}[/tex]
Step-by-step explanation:
By combining the fractions on the left side into one fraction, we have:
[tex]\frac{1}{1-sin(x)}+\frac{1}{1+sin(x)}=\frac{2}{cos^2(x)}\\ \\\frac{1+sin(x)+1-sin(x)}{(1-sin(x))(1+sin(x))}=\frac{2}{cos^2(x)}\\\\\frac{1+sin(x)+1-sin(x)}{1-sin^2(x)}=\frac{2}{cos^2(x)}[/tex]
Also, given the Pythagorean Identity [tex]sin^2(x)+cos^2(x)=1[/tex], then [tex]cos^2(x)=1-sin^2(x)[/tex].
Order the numbers from least to greatest. -1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. -1.95, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95, -1 WOMALOWAS Please select the best answer from the choices provided B c D
Answer:
Step-by-step explanation:
uhhhh O-1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. 1.95-, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95
The larger the negative number, the lower the value the number actually is.
Answer: b. -1.95, -1.895, -1
please I need the answers now
Please help me with this math problem!! NO LINKS PLEASE!! I will give brainliest!!
Answer:
z = 7, x = 3, y = 20
Step-by-step explanation
3z + 5 = 26
3z = 21
z = 7
NP = NQ x 2
8x - 4 = 4x + 8
4x = 12
x = 3
y = pq/2
p = y; q = 10
10 x 2 = 20
y = 20
I hope this helps!
Alexa put $850 into savings account that earns 0.75% annual simple interest. If Alexa doesn’t make any deposits or withdrawals for 18 months, how much money will be in her account?
Principal= 850
rate = 0.75%
period = 18months
interest = 850x0.75%x18
= 850x0.0075x18
= 114.75
amount after 18 months
= 850+114.75 = $964.75
for each order, the website applies a 7. 7% sales tax to the price of the cards
Answer:
what's the full question...?
Step-by-step explanation:
NIE
VIEW
(Score for Question 3: of 5 points)
Admissions to a zoo cost $12 for adults and $8 for children. A group of 34 people attending the zoo paid a
total of $312 in admission fees
(a) Write and solve a system of equations that model the problem. Show all your work,
(b) How many adults went to the zoo?
(c) How many children went to the zoo?
Answer:
Hi!
Please see the attached image for your answer with explanation.
Have a great day!
What is the slope of
A. y - 5 = 3/2 (x + 4)
B. y + 2 = 5x
C. y = -2 (x - 5/8)
Answer:
[tex] - - - - - (a) \: y - 5 = \frac{3}{2} (x + 4) \\ y - 5 = \frac{3}{2} x + \frac{3 \times 4}{2} \\ y - 5 = \frac{3}{2} x + 6 \\ y = \frac{3}{2} + 11 \\ (the \: slope \: is \: \frac{3}{2} ) \\ - - - - - - - - ( b) \: y + 2 = 5x \\ y = 5x - 2 \\ (the \: slope \: is \: 5) \\ - - - - -(c) \: y = - 2(x - \frac{5}{8} ) \\ y = - 2x + \frac{5}{4} \\ (the \: slope \: is \: - 2)[/tex]
HELP ME NOWWW PLS K12
Answer:
2 units
Step-by-step explanation:
Need help with this question ASAP for geometry!
Can the triangles be proven similar?
Convert the statement into if-then form, "Squares have right angles."
Answer:
If the shape is a square, then it has right angles.
Answer:
If a shape is a square, then it has right angles.
Step-by-step explanation:
Hi there!
The statement 'squares have right angles' tells us that any and all squares have right angles. Therefore, if a shape is a square, then it has right angles.
I hope this helps!
can you please tell me how to do easy way can you please show me in numbers how to multiply
[tex] \frac{2 }{3} - \frac{1}{9} [/tex]
same as before, we look at the denominators, hmmm do a quick prime factoring.
3 = 3 * 1
9 = 3 * 3 * 1
since 9 already contains 3 and 1, we can us that
[tex]\cfrac{\underline{2}}{3}~~ - ~~\cfrac{1}{9}\implies \cfrac{(2)\underline{2}~~ - ~~(1)1}{\underset{\textit{using this LCD}}{9}}\implies \cfrac{4-1}{9}\implies \cfrac{\stackrel{1}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{3}{~~\begin{matrix} 9 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{1}{3}[/tex]
It will be lovely if anyone would help?
Answer:
yes
Step-by-step explanation:
I would help. Just give me the question
If line q bisects EG at point T, and if ET= 1/3 x and TG= x-2, then find EG
please help I have no idea how to do this its geometry problem for my math hw even my parents and siblings who are older than me don't know how to do this
Answer:
EG = 2 units
Step-by-step explanation:
Given that line q bisects EG at T , then
ET = TG ( substitute values )
[tex]\frac{1}{3}[/tex] x = x - 2 ( multiply through by 3 to clear the fraction )
x = 3x - 6 ( subtract x from both sides )
0 = 2x - 6 ( add 6 to both sides )
6 = 2x ( divide both sides by 2 )
3 = x
Then
ET = [tex]\frac{1}{3}[/tex] x = [tex]\frac{1}{3}[/tex] × 3 = 1
TG = x - 2 = 3 - 2 = 1
Thus
EG = ET + TG = 1 + 1 = 2 units
EG = [tex] \frac{4x}{3} - 2[/tex]
Step-by-step explanation:
( First check the attached image for diagram )
[tex]EG=ET+TG[/tex]
Substituting the given values,
[tex]EG = \frac{1}{3}x + (x - 2)[/tex]
Opening the brackets and multiplying,
[tex]EG = \frac{1 \times x}{3} + x - 2 [/tex]
[tex] = > EG = \frac{x}{3} + x - 2[/tex]
Finding LCM,
[tex] = > EG = ( \frac{x}{3} + \frac{x \times 3}{1 \times 3} ) - 2[/tex]
[tex] = > EG = ( \frac{x}{3} + \frac{3x}{3}) - 2[/tex]
Combining them,
[tex]EG =( \frac{x + 3x}{3}) - 2[/tex]
[tex]EG = \frac{4x}{3} - 2[/tex]
Note:- T is midpoint of EG
because ET = TG
aayan gets 48 out of 60 in his music exam. state the result as a percentage
Answer:
It can be set up as: 48/60
But it can also written as 48 divided by 608. When we put a percent sign we always move the decimal to the right two places. The percentage is 80%
How do you solve?
2.5 x 1/4=
here you go, hope this helps
422801,15÷101
long division
Answer:
4186.15
Step-by-step explanation:
Answer:
418,615 or 4,186.15
Step-by-step explanation:i cant tell if it is a desimal or a full number if desimal 4,186.15 if not desimal 418,615
Mary sold 50 tickets for the school play Student tickets cost $2 and adult tickets cos $ 5. Mary's sales totaled $ 154.00. How many adult tickets and how many student tickets did Mary sell?
Answer:
the correct answer is that mary sold 18 adult tickets and 32 student tickets
if she sold 18 adult tickets it would be 90 dollars, and if she sold 32 student tickets she would get 64 from that, if we add the amount of people that bought tickets and how much she got it would work out
with 18 adults+32 students being exactly 50
and 90+64 being 154.
I tried different solutions, I did 18 adults and 32 Students, since there are 50 tickets sold, this is the correct answer since if we do this the amount she makes from the adults will be 90 and she will make 64 from the students this will add up to $154