Answers
Given:
The equation is
[tex]\dfrac{2a-4}{3}=8[/tex]
To find:
The reason for second step.
Solution:
We have,
[tex]\dfrac{2a-4}{3}=8[/tex]
Using multiplication property of equality, multiply both sides by 3.
[tex]3\left(\dfrac{2a-4}{3}\right)=3(8)[/tex]
[tex]2a-4=24[/tex]
Using addition property of equality, add 4 on both sides.
[tex]2a-4+4=24+4[/tex]
[tex]2a=28[/tex]
Using division property of equality, divide both sides by 2.
[tex]\dfrac{2a}{2}=\dfrac{28}{2}[/tex]
[tex]a=14[/tex]
So, the reason for second step is multiplication property (=).
Therefore, the correct option is D.
Related Questions
In parallelogram DEFG DH=x+2 HF=2y GH=3x-3 and HE=5y+1. Find the values of x and y.
Answers
Answer:
y = 10 and x =18
Step-by-step explanation:
From the parallelogram,
DH + HF = DF
x+2 + 2y = DF
Also DH = HF
x+2 = 2y
x - 2y = -2 .... 1
Also GH = HE
3x-3 = 5y+1
3x - 5y = 1 + 3
3x-5y = 4 .... 2
Solve 1 and 2 simultaneously
x - 2y = -2 .... 1 * 3
3x-5y = 4 .... 2 * 1
_____________
3x-6y = -6
3x-5y = 4
Subtract
-6y + 5y = -6-4
-y = -10
y = 10
Substitute y = 10 into 1
x- 2y = -2
x - 2(10) = -2
x - 20 = -2
x = -2+20
x = 18
Hence y = 10 and x =18
Multiply & Simplify 1/4×6
please solve
Answers
Answer:
1.5
Step-by-step explanation:
:)
Calculator
What is the measure of angle P?
17 cm
8 cm
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
Q
15 cm
R
mZP
1
2
3 4 5
Answers
Answer:
the measure of angle P is 61.93°
The value of angle P of the triangle ΔPQR is ∠P = 61.93°
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be ΔPQR
Let the angle ∠P = θ
Triangle ΔPQR is a right angle triangle
where ∠Q = 90°
Now , the value of the sides are
PQ = 8 cm
QR = 15 cm
PR = 17 cm
Now , from the trigonometric relations
∠QPR = θ
tan θ = opposite side / adjacent side
Opposite side of Triangle PQR is QR
Adjacent side of Triangle PQR is PQ
So , substituting the values in the equation , we get
tan θ = opposite side / adjacent side
tan θ = QR / PQ
tan θ = 15 / 8
tan θ = 1.875
Now , the value of θ is
The value of θ = tan⁻¹ ( 1.875 )
The value of θ = 61.93°
Therefore , the value of θ is 61.93°
Hence , The value of angle P of the triangle ΔPQR is ∠P = 61.93°
To learn more about trigonometric relations click :
https://brainly.com/question/14746686
#SPJ2
please solve it correctly, I will give 30points
Answers
Answer:
Step-by-step explanation:
volume = LWH/3 = 40·30·60/3 = 24,000 ft³
Find the area of the following figure:
9 square inches
14.6 square inches
15 square inches
7.5 inches
Answers
Answer:
9 square inches is your answer. √9=3
PLSSS PLSS I REALLY NEED HELP
Answers
Answer:
your best bet is 67.38
Step-by-step explanation:
Help please
what is 61x18x4x487?
Answers
Answer:
2138904
Step-by-step explanation:
yep
Answer:
61x18x4x487=2138904is your answer
110,)1111110
[tex]100 \div 1111110[/tex]
Answers
Answer:
9.000009000009
Step-by-step explanation:
h
Exaplanation
ΔA’B’C’ is a reflection of ΔABC. Which best describes the reflection?
A reflection over the line x = 2
A reflection over the line y = 3
A reflection over the line x = 3
A reflection over the y-axis
https://www.savvasrealize.com/community/proxy/assessment/6e9c9d8404734cc2b94c92a01d2b974d/images/e6e4c4f5-af01-4a47-a44d-bf9651858a45
IMAGE: is in the link above
Answers
Answer:
A reflection over the line x=3
Step-by-step explanation:
3) The legs AB and BC of a right-angled triangle ABC measures (2x-13) cm and (x - 12) cm
respectively. Find the length of BC, if AC is 37 cm long.
Answers
Answer:
30 I am good but I don't know if it's right
1 1/8 divded by negative 3/7
Answers
Answer:
Step-by-step explanation:
Exact Form:
[tex]-\frac{21}{8}[/tex]
Decimal Form:
−2.625
Mixed Number Form:
[tex]-2\frac{5}{8}[/tex]
which number line represents the solution set for the inequality?
Answers
Answer:
b) x > 3
Step-by-step explanation:
24 - 12x < 6x - 30
54 - 12x < 6x
54 < 18x
3 < x or x > 3
how do you solve it?
Answers
9514 1404 393
Answer:
a) NT = 8
b) RS = 8
c) RT = 16
d) ZR = 24
Step-by-step explanation:
All of the marked sides are congruent. (That's what the marks mean.) It might help you to put 8 next to each hash mark like it is on NS. So, you have ...
NT = RS = ST = TZ = NS = 8
Segments on the same line sum, so ...
RT = RS +ST = 2RS = 16
ZR = RS +ST +TZ = 3RS = 24
a) NT = 8
b) RS = 8
c) RT = 16
d) ZR = 24
If you know the answer to this let me know pls!
Answers
Answer:
I think it is C.
Step-by-step explanation:
Have a good day. :-)
i am so confused please
Answers
2) 2x
3) 8k
4) 19.25c
5) 11y-5
6) .25x+2
7) 7t+14
8) 3.2k+5
9) z+6x
10) 3n+4p
11) 2y+2x
12) 27g-3s
13) 11m+100
14) 2w+12
15) 3b+10
16) 7a+6
17) 16n+10
18) 3y+6x
19) 15p/2
20) 3s-2t
fill in the blanks: and find the pattern rule
A. 36,34,32,30__, __, __, ___,20
B. 6,16,26,36,___, ___ ,___, ___,86
C. 3,6,12,24___,____,___,____,768
D.1 000 000, 1 00 000, 10 000, 1000 , ___, ____, ____, ____, 0.01
E. 1, 4, 9, 16, ___,____,____,____,81
F.1, 3, 5, 7, ___,___,____,____,17
Answers
B= 46,56,66,76
C= 48,96,192,384
D=100, 10, 1, 0.1
E = 25 , 36 , 49 , 64
F = 9, 11, 13, 15
i just calculated my GPA and it’s 86.146% but how do i convert it?
Answers
Answer:
To convert a GPA B+ 87-89 3.3
Step-by-step explanation:
So you have a B+!!!
Hope this helps!!!
Answer:
You got a B+
Step-by-step explanation:
Good Job
Plz help me due tonight
Answers
Answer:
It would end up becuase it is positive
Step-by-step explanation:
Which symbol makes the statement true?
|15| ? -12
<
>
=
≥
Answers
Answer:
>
Step-by-step explanation:
Absolute value means whatever is inside of it is always positive so 15 is greater than -12.
a car travels 240 miles at a constant speed in 3 hours how many miles will be travel in 2 hours? write the kind of proportion write the proportion and the answer. help meeeeee pls
Answers
Find miles per hour by dividing total miles by total time:
240 miles / 3 hours = 80 miles per hour.
Now multiply miles per hour by time:
80 miles per hour x 2 hours = 160 miles.
The answer is 160 miles.
Lincoln Middle School plans to collect more than 2,000 cans of food in a food drive. So far, 668 cans have been collected. Write and solve an inequality to
Tind numbers of cans the school can collect on each of the final 7 days of the drive to meet this goal
Which inequality represents the solution to this situation?
Oc< 190.29
Oc> 190.29
OC> 190.29
OC > 9324
Answers
Answer:
Oc> 190.29
Step-by-step explanation:
let the width and length be real numbers the perimeter remains a constant 24cm draw a graph 2|<w|<11
Answers
Answer:
Step-by-step explanation:
These represent the points on the graph with w as the x-axis and l as the y -axis. You only need two pairs to make a line, but it is always best to use a 3rd point as a check.
Nicholas bought a new computer for $1,250. The value of the computer decreases by 17 percent every year. Approximately how much is the computer worth after 5 years?
Answers
Answer: The computer worth $ 492.38 after 5 years.
Step-by-step explanation:
If the value of an item depreciates by r% then the value of the item after t years is given by :-
[tex]V=V_0(1-\dfrac{r}{100})^{t}[/tex]
, where [tex]V_0[/tex] = initial value.
Given: [tex]V_0[/tex] =$1,250, r=17% , t= 5 years
Then, the value of computer after 5 years = [tex]1250(1-\dfrac{17}{100})^5[/tex]
[tex]=1250(0.83)^5\\\\=1250(0.39390)\\\\\approx492.38[/tex]
Hence, the computer worth $ 492.38 after 5 years.
Write an inequality that represents the verbal expression.
3 more than a number t is greater than or equal to 21.
Answers
Answer:
x+3 > 21
the is a line under the greater than symbol
Step-by-step explanation:
determine o valor de 15% de 900
Answers
Answer:
15/100×900
=135..........
(08.02 MC)
The two dot plots below show the heights of some sixth graders and some seventh graders:
Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there are 2 dots for the fifth mark, there are 4 dots above the sixth mark.
The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 0.4. Approximately how many times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders? (Round all values to the tenths place.)
3.2
3.0
1.5
0.8
Answers
Answer:
b
Step-by-step explanation:
Christopher went into a restaurant and bought 5 hamburgers and 10 drinks, costing a total of $52.50. Wyatt went into the same restaurant and bought 2 hamburgers and 9 drinks, costing a total of $31. Write a system of equations that could be used to determine the price of each hamburger and the price of each drink. Define the variables that you use to write the system.
Answers
Answer:
Step-by-step explanation:
Let the price of each hamburger be a and the price of drink each be b.
5a+10b=52.50
2a+9b=31
5a+10b=52.50
a=10.5-b
2(10.5-b)+9b=31
7b=10.5
b=1.5
a=10.5-1.5
a.9
∴The price of each hamburger is $9 and the price of each drink is $1.5
Which of the equations below shows the relationship in the table
Answers
explanation:
plug it into the equation
1 = 15/15
3 = 15/5
etc.
Write an equation to describe the axis of
symmetry for the graph on the right
Answers
Answer:
across the mibble to the down
Step-by-step explanation:
I need help with this problem
Answers
Answer:
about 2.253 centimeters
Step-by-step explanation:
