The given equations are as follows
[tex]\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}[/tex]
(1) First, multiply both sides of equation A by 4, we have
[tex]4\times\left(\frac{x}{4} +1\right)=4\times(-3)[/tex]
Then, rewrite the left-hand side of the above equation by using the distributive property, we have
[tex]4\times\frac{x}{4}+4\times1=4(-3)[/tex]
[tex]\Rightarrow x+4=-12[/tex]
This is the required equation B.
In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.
Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.
(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.
As both the equations are the same, so both will have the same solution.
Yes, they have the same solution.
What is the simplified expression of the following expression?
7
OA.
37 x 7
64 x 7
314
611
OB
OC.
37 + 7
64 + 7
OD
349
628
Reset
Submit
Please mark as brainliest.
The simplified expression of the following expression is [tex](\dfrac{3^{49}}{6^{28}} )[/tex].
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Rewrite the equation as :
[tex](\dfrac{3^7}{6^4} )^7[/tex]
Multiply both by [tex](\dfrac{3^7}{6^4} )^7[/tex]:
[tex](\dfrac{3^{7 \times 7}}{6^{4 \times 7}} )[/tex]
Use the power rule to combine exponents:
[tex](\dfrac{3^{49}}{6^{28}} )[/tex]
The simplified expression of the following expression as;
[tex](\dfrac{3^{49}}{6^{28}} )[/tex]
To know more about an expression follow;
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Bloomingdales pays $56 for a handbag. The markup is 25%. What is the markup? What is the selling price.
what is (10-4) divided by 2?
Answer: 3
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
HURRY PLEASE!!!!!!!
What is the argument of z = 1/16 - square root of 3/16 i?
Answer:
A
Step-by-step explanation:
Edg2020
The value of the argument of z is -π/3.
What is the argument of z?The angle that the line from Ф, z to the origin creates with the positive direction of the real axis is known as the argument of z is Ф, and it is variously represented by the symbols arg ( z ), (z) or Ф. Because it is an argument of z is Ф, then 2 nπ + Ф is likewise a valid argument, the argument of z can take on any number of conceivable values.
We define a singular value known as the major argument of z to be more precise.
Given z = 1/16 - √3/16i
equation of z is x + iy
here x = 1/16 and y = -√3/16
to find the angle,
tanФ = y/x
tanФ = (-√3/16)/(1/16)
tanФ = -√3
Ф = tan⁻¹(-√3)
Ф = -π/3
Hence arguement of z is -π/3.
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Please look at picture
Answer:
Confused
Step-by-step explanation:
so what do you ever so mean by "look at my picture" ????
i need help plz:((((((((((
Answer:
a) [tex]y=\frac{28}{75}(x-1900)+47.3[/tex]
b) 86.5 years
Step-by-step explanation:
All values are rounded to 2 decimal places
a) We can find line by using y =mx+b
[tex]y=mx+b\\m=\frac{y^{2}-y^{1} }{x^{2}-x^{1}}\\m=\frac{69.7-47.3}{1960-1900} \\m=\frac{22.4}{60} \\m=\frac{28}{75}\\c=y-intercept\\y-intercept=47.3\\y=\frac{28}{75} (x-1900)+47.3[/tex]
Therefore the line of best fit is [tex]y=\frac{28}{75}(x-1900)+47.3\\[/tex]
b) We can do this by using the formula of the best fit line to estimate the life expectancy of someone born in 2005
[tex]y=\frac{28}{75}(x-1900)+47.3\\y=\frac{28}{75}(2005-1900)+47.3\\y=\frac{28}{75}\times105+47.3\\y=86.5[/tex]
Therefore the estimated life expectancy of someone born in 2005 is 86.5 years
PS. Please give brainliest answer this was a lot of working out
Find the slope that passes through the points (19,-2) and. (11, 10)
Answer:
12 over -8
Step-by-step explanation:
can someone help me please ill mark brainliest
Answer:
5/17 = x/12
Using crossing multiplication, the answer is 3.5
Step-by-step explanation:
Rewrite the equation as 17x = 60
x = 60/17
x = 3.5 (rounded to the nearest 10th)
Good luck!
Hey guys, I know this is a lot so I am offering a lot of points. I was stumped on this paper, I just need a little help on how to complete it :)
Write an inequality for the graph.
A.x ≥ 3
B.x > 3
C.x ≤ 3
A small rectangle has a width of 4ft and a length of 10ft. A larger rectangle has a length of 12ft. What is the perimeter of the larger rectangle?
Answer:
48 I think
Step-by-step explanation:
12+12+12+12=48
or 12 x 4=48
Answer:
48
Step-by-step explanation:
12+12+12+12 = 48
or
12x4=48
PLEASE HELP ME AND EXPLAIN.
Answer:
9*8=72 which would be more than enough to cover the wall
2nd try again please help
Answer:
0.8
Step-by-step explanation:
25.4-23.8=1.6
25.4+1.6=27
For two cycles, the increase is 1.6. So, divide that by two to get 0.8. Hope this helps!
Answer:
0.8
Step-by-step explanation:
Each increase is 1.6 apart. Because they're going by two cycles just divide that by two and you get 0.8
Which is a unit rate?
INS
80 miles in 4 hours
50 miles on 3 gallons
25 miles per 1 gallon
40 miles per 0 hours
Answer:
my answer for this question is 195
Step-by-step explanation:
Graph the line with slope 2/3 passing through the point (-1,3)
Answer:
Step-by-step
Plot the point (-1,3) and from the point rise up 2 points and run across 3 points, which will give the second point.
Write the equation of the line that passes through the points (-6, 9) and (0, -9).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Help‼️
Answer:
slope(m)= -3
Step-by-step explanation:
Alexa took a test and lost 3 points for each of the 7 questions she got wrong. She earned an additional 5 points for answering a bonus question correctly. How many points did Alexa receive or lose overall?
Answer:
Alexa lost 16 points overall
Step-by-step explanation:
To determine whether Alexa had a net receipt or loss of points, we will fine the total points received or lost, and find the difference:
points lost:
3 point for each of the 7 questions she answered wrong
lost point = 3 × 7 - 21 points
Points received:
5 points for answering a bonus question
point received = 5 point
The points lost (21) is greater than the points received (5), hence, there was a net loss. The net loss is calculated as follows:
points lost - points received
= 21 - 5 = 16
∴ Alexa lost 16 points overall
Plz help for I keep asking and no one has help plz Brainlyist
Answer:394284
Step-by-step explanation: is this math
what is 5(x+8)+3 equal?
Answer:
I think its 5x - 37
Step-by-step explanation:
5(x-8)+3
5x - 40 + 3
5x - 37
Hope this helps!
A car travels 62 miles per hour. At this rate, how far will the car travel in 6 hours?
Answer:
372 miles
Step-by-step explanation:
You need to multiply 62 and 6
Answer:
372
Step-by-step explanation:
just mulitple
i hope thi shelps
BRAINLIEST PLSSS
Solve the following system of equations graphically on the set of axes below. y=3x−3 , x+y=5
Answer:
x=2, y=3
Step-by-step explanation:
First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.
Plugging these values in the equations for x and y, you can see if these are the correct answers:
(3)=3(2)-3, (2)+(3)=5
Since both of these are true, you have the right answer.
Hope this helps!
Two linear equation has their solutions on the points where they intersect each other.
The solution of the given system of equations is:
x = 2, y = 3.
How to determine the solution of system of linear equations graphically?Each linear equation represents a straight line.
If both the given lines intersect at one point, then that point's coordinate is the solution of the given system of the equations.
If both the given lines are parallel, then there is no intersection and thus no solution.
If both the lines are coincident(that is, lying over each other fully), then there are infinite points of intersection, as they touch each other on infinite points, and thus infinite solutions to the given system of equations exist.
Using method of substitution to solve the system of equations:[tex]y = 3x-3\\ x+y = 5 [/tex]
Substituting the value of y from first equation in the second equation, we get:
[tex]x + y = 5\\ x + (3x-3) = 5\\ x+3x = 5+3\\ 4x = 8 \\ x = 2\\ [/tex]
Thus, putting this value of x in first equation, we get:
[tex]y = 3x - 3\\ y = 3 \times 2 - 3\\ y = 6-3\\ y = 3[/tex]
Thus, the system has one solution and it is x = 2, y = 3.
Using graphing, we can see that point of intersection is (x,y) = (2,3)
Learn more about solutions of system of linear equations:
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Solve for x.
56x=15
Enter your answer in the box.
x =
Answer:
The answer is x= 15/56
Step-by-step explanation:
hope that helps you
56x=15
Divide both side by 56 to find the x.
56x/56=15/56
x=15/56
1) Janet and Miriam each bought a bicycle for $140.
A few months later they both sold it...
Janet sold hers for 30% less than the original price (what she paid for it)
Miriam sold hers for 25% less than the original price (what she paid for
it)
How much more money did Miriam get than Janet?
Answer:
$7
Step-by-step explanation:
JANET:
140 * 0.7 = 98
MIRIAM:
140 * 0.75 = 105
105-98=7
Ms. Smith borrowed $220,000 from the bank to purchase a house. The 30- year loan has an annual interest rate of 5.5%. Calculate the monthly payment
Determine if the lines are parallel, perpendicular, or neither.
3y = -2x + 18 and 6x + 9y = 18
Parallel
Perpendicular
Neither
Answer:
parallel
Step-by-step explanation:
1st step get the equations in y=mx+b
3y = -2x + 18
(÷ each side by 3)
y = -2/3x + 6
6x + 9y = 18
(subract 6x to get it to the other side)
9y = -6x + 18
(÷ both sides by 9)
y = -6/9x + 2
(simplify -6/9)
y = -2/3x +2
2nd step look at the equations
y = -2/3x + 6 and y = -2/3x +2
The lines are at different places and will never touch, having same slope theres never a possibility they would look something like this \\
Which of the following pairs of points will create a horizontal line when connected?
A.(1, 1) and (1,−1)
B.(−1,−1) and (1, 1)
C.(−1, 1) and (1,−1)
D.(−1, 1) and (1, 1)
Answer:
D is the answer
Step-by-step explanation:
D is the answer because they don't go opposite ways on a graph (Ex: going higher and lower)
Answer:
D
Step-by-step explanation:
D is for Deeznuts
In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm.
Triangle N L M has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N Q, L R, and M P. The length of line segment N S is 4 x and the length of line segment S Q is 3 x minus 5.
What is NS?
5 cm
10 cm
20 cm
30 cm
Answer:
NS= 20
Step-by-step explanation:
4x / 3x-5 (2/1)
4x / 6x-10
-6x -6x
-2x / -10
X / 5
X=5
NS= 4x
NS= 4(5)
NS= 20
Answer:
c
Step-by-step explanation:
3. Susana is selling raffle tickets to fundraise for a new school computer suite. Each computer costs£279 and 37 will be needed in order to fill the suite.
a)Estimate how much money will she need altogher to purchase the computers?
Susana plans to sell each raffle ticket for £1.89.
b) Estimate how much tickets will she need to sell in order to buy all of the computers?
On Thursday, the day before the raffle, Susana had sold 4176 tickets.
c) Estimate how many more tickets she will need to sell in order to buy all of the computers
Answer:
Each computer costs £279.
37 computers will be needed.
a)Estimate how much money will she need altogher to purchase the computers?
£279 · 37 = £10,323
b) Estimate how much tickets will she need to sell in order to buy all of the computers? Susana plans to sell each raffle ticket for £1.89.
£10,323/£1.89 = 5461.905 tickets.
c) On Thursday, the day before the raffle, Susana had sold 4176 tickets. Estimate how many more tickets she will need to sell in order to buy all of the computers.
5461.905 tickets - 4176 tickets = 1285.905 tickets ≈ 1286 tickets
Answer:
no answer but it says Estimate the other person found the exact amount not the estimate.
Step-by-step explanation:
it could help you if you know how to estimate
A bee flies at 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 16 feet per second. It is away from the hive for a total of 20 minutes.
b. How far is the flowerbed from the hive?
Answer:
Multiply 20
answer:[tex]20^{2}[/tex] feet
Step-by-step explanation:
Use inverse operations to solve: x + 3.2 = 7
Answer:
x=3.8
Step-by-step explanation:
You would use the inverse operation by subtracting 3.2 from both sides of the equation, leaving you with x=3.8
