Given:
Three equations are
[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]
[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]
[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]
Three solutions are [tex]x=-2,x=-1,x=1[/tex].
To find:
The solution of each equation from the given solutions.
Solution:
We have,
[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]
Using distributive property, we get
[tex]3x-9+2x=-9-x-6[/tex]
[tex]5x-9=-15-x[/tex]
Isolate variable terms.
[tex]5x+x=-15+9[/tex]
[tex]6x=-6[/tex]
Divide both sides by 6.
[tex]x=-1[/tex]
Similarly,
[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]
[tex]2x-8+3x=-14-x-6[/tex]
[tex]5x-8=-20-x[/tex]
[tex]5x+x=-20+8[/tex]
[tex]6x=-12[/tex]
[tex]x=-2[/tex]
Now,
[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]
[tex]4x-24+4x=-9-x-6[/tex]
[tex]8x-24=-15-x[/tex]
[tex]8x+x=-15+24[/tex]
[tex]9x=9[/tex]
[tex]x=1[/tex]
Therefore, the solutions of given equations [tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex], [tex]4(0.5x-2)+3x=-14-(x+6)[/tex] and [tex]8(0.5x-3)+4x=-9-(x+6)[/tex] are x=-1, x=-2 and x=1 respectively.
Find x if mZPHI = 150º,
mZGHI = 15x – 5, and mZGHP = x + 13
If a point P(x,y) is the equidistant from the points A(2,3) and B(6,1), find the equation of locus of moving point P.
please answer it and I will mark your answer as the brainliest..please..!!!
Answer:
[tex]y=2x-6[/tex]
Step-by-step explanation:
A locus can be defined as a curve or figure formed by all the points satisfying a particular equation of the relation between coordinates.
The condition stated in the question is such that a generic (x,y) point of the curve is equidistant from the points A(2,3) and B(6,1).
The distance d1 from (x,y) to (2,3) is:
[tex]d_1=\sqrt{(x-2)^2+(y-3)^2}[/tex]
The distance d2 from (x,y) to (6,1) is:
[tex]d_2=\sqrt{(x-6)^2+(y-1)^2}[/tex]
Since d1=d2:
[tex]\sqrt{(x-2)^2+(y-3)^2}=\sqrt{(x-6)^2+(y-1)^2}[/tex]
Squaring both sides:
[tex](x-2)^2+(y-3)^2=(x-6)^2+(y-1)^2[/tex]
Operating:
[tex]x^2-4x+4+y^2-6y+9=x^2-12x+36+y^2-2y+1[/tex]
Simplifying all the squares:
[tex]-4x+4x+4-6y+9=-12x+36-2y+1[/tex]
Moving the variables to the left side and the numbers to the right side:
[tex]-4x+12x-6y+2y=36+1-4-9[/tex]
Simplifying:
[tex]8x-4y=24[/tex]
Dividing by 4:
[tex]2x-y=6[/tex]
Or, equivalently:
[tex]\boxed{y=2x-6}[/tex]
Use the diagram below to find the measure of each angle. If you cannot see the
diagram below, it is also in your book on page 59. As you write your answer,
write the number and type the word degrees after.
A
E
B
С
50°
D
m
m
m
the function f(x) is shown in this graph
the function g(x) = -6x -5
Answer:
C.
Step-by-step explanation:
Joe plans to book a trip for his family. The base rate for the trip will be 800$ and 75$ for each additional person going, write an equation to represent the linear function in slope intercept form
Answer:
y = 75x + 800
Step-by-step explanation:
can someone please solve −5 − y = −3x
Answer:
Slope = 3
x-intercept = 5/3 = 1.66667
y-intercept = 5/-1 = -5.00000
Step-by-step explanation: Notice that when x = 0 the value of y is 5/-1 so this line "cuts" the y axis at y=-5.00000
y-intercept = 5/-1 = -5.00000
When y = 0 the value of x is 5/3 Our line therefore "cuts" the x axis at x= 1.66667
x-intercept = 5/3 = 1.66667
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line -y+3x-5 = 0 and calculate its properties
Help me please I need to answer this
Answer:
three shirts an hour
Step-by-step explanation:
Help me, pls! PLS! I need help ASAP, I'm stuck!! >:(
I would truly appreciate it if anyone can help me! Thank u!
(Science; Measuring Volume and Mass. Also, I'm not confused, it's just I've been seeing everyone answering Math questions more often and I kinda need my answers stat.)
Answer:
So the volume expands as kinetic energy is gained and the more mass there is the more kinetic energy there will be. Hopefully this helps you and if it doesn't I will add on to it, just lmk.
5x+2y=10
Solve for y
Answer: y=(-5x/2)+5
Step-by-step explanation:
There is no clear cut explanation for this. y cannot directly equal a number. Let me show you.
Subtract 5x from both sides.
5x-5x+2y=10-5x
2y=-5x+10
Then to get to y to being by itself, divide by 2 on both sides
(2y/2)=(-5x+10)/2
y=(-5x+10)/2----> or -5x/2 + 10/2
y=(-5x/2)+5
If a teacher distributes papers to each person in a class, please explain what they are doing
Pls I need this 35 point question
someone please help me with this! please write out the steps as well, thank you!
Answer:
60°
140°
Step-by-step explanation:
From the given figures,
a. we use the concept of alternate angles.
Two parallel lines cut by a transversal will have equal alternate angles;
So;
6x + 12 = 7x + 4
collect like terms and solve for x;
6x - 7x = 4 - 12
-x = -8
x = 8
Now, 6x + 12 = 6(8) + 12
= 48 + 12
= 60°
b. Here we use alternate angles and angles on a line;
4x is an alternate angle to that angle to the left of 13x + 10
And sum of angles on a line = 180
4x + 13x + 10 = 180
17x = 170
x = 10
Now, 13x + 10 = 13(10) + 10 = 140°
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer:
∠ Q = 75°
Step-by-step explanation:
Since PR and PQ are equal then the triangle is isosceles, thus
the base angles R andQ are congruent
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 2x + 15 + 2x + 15 = 180, that is
5x + 30 = 180 ( subtract 30 from both sides )
5x = 150 ( divide both sides by 5 )
x = 30
Thus
∠ Q = 2x + 15 = 2(30) + 15 = 60 + 15 = 75°
On Monday, you run treadmill for 1/2 hour at x miles per hour. On Tuesday, you walk the same distance on the treadmill, at 2 mph slower, and it takes you 3/4 hour.
How many miles did you run on the treadmill on Monday?
Distance = rate * time
Let r = rate
Distance is the same for both runs, so:
.5r = D = 3/4(r - 2)
Distribute (and convert .5):
2/4r = 3/4r - 3/2
Subtract 3/4 r from both sides:
-1/4r = -3/2
Multiply both sides by -4 to get a solitary r:
r = -3 * -4 / 2
r = 3 * 2
r = 6 miles per hour
.5 hours * 6 mi/hr = 3 miles
check:
6 - 2 = 4
3/4 hours * 4 mi/hr = 3 miles
Rounded 1.402 to the nearest thousand
Answer:
Your answer is: It is already rounded to the nearest thousandth.
If you rounded to the nearest hundred your answer is: 1.40 or 1.400
If you rounded to the nearest tenth your answer is: 1.4
Step-by-step explanation:
Hope this helped : )
Only smart bros answer
Answer:
9 :/
Step-by-step explanation:
Answer:9
Step-by-step explanation:
3x9=27
27 divided by 3=9
In the diagram below
Answer:
m∠A = 39°
Step-by-step explanation:
From the figure attached,
BE ≅ BC
m∠C = 32°
m∠BFD = 103°
In ΔBCE,
m∠E = m∠C = 32° [Since, BE ≅ BC]
m∠E + ∠C + m∠EBC = 180°
32° + 32° + m∠EBC = 180°
m∠EBC = 116°
m∠EBC + m∠EBA = 180° [Linear pair of angles]
116° + m∠EBA = 180°
m∠EBA = 64°
Similarly, m∠AFB + m∠DFB = 180° [Linear pair of angles]
m∠AFB + 103° = 180°
m∠AFB = 77°
Now in ΔAFB,
m∠A + m∠AFB + m∠FBA = 180° [Sum of internal angles of a triangle = 180°]
m∠A + 77° + 64° = 180°
m∠A = 39°
The value of x must be greater than 0 1 03
Answer: x= 200
Step-by-step explanation: Any value greater than 103 will be equal to x. So... in this case, x= >103. (200>103).
misty is driving on a scenic road trip, and the graph shows the number of hours traveled compared to the number of miles of the trip remaining. Use the graph below to the answer.
Write an equation of the graph in slope-intercept form.
A. y=-100/3x+450
B. y=100/3x-450
C. y=450x+100/3
Answer:
omg im finding the answer too i go to bcms i see the travid isd thing on ur tabs
Step-by-step explanation:
Answer:
Option A. y=-100/3x+450 is correct.
Step-by-step explanation:
In the last ten games, Jamal made 7
9
of his free throws and Brian made 5
8
of his free throws. Which player has the better record? Explain.
Answer:
Jamal has the the better record
Answer:
This is the sample response from Edge
Step-by-step explanation:
Jamal has the better record because his record is 0.7 and Brian’s record is 0.625. Jamal made more free throws.
A frozen dinner at a grocery store is purchased for $2.20 wholesale and is marked up by 40 percent. A customer wants to buy four frozen dinners. How much will the customer pay, including paying 9 percent sales tax? Round your answer to the nearest cent. $8.80 $10.07 $13.43 $14.39
Answer:
$13.43
Step-by-step explanation:
Given that :
Price of dinner wholesale = $2.20
Markup % = 40%
Hence, selling price = (100 + 40)% * $2.20
Selling price = 140% * $2.20
Selling price = 1.4 * $2. 20 = $3. 08
Hence, price of 4 frozen dinner :
$3. 08 * 4 = $12.32
9% sales tax:
9% * $12.32
0.09 * $12.32 = 1.1088
Total amount paid :
$(12.32 +. 1.1088)
= $13.4288
= $13.43
Answer:
The answer is $13.43
Step-by-step explanation:
I just answered that question, and got it right
3y-4=12-y and also show the step please
Answer:
y=4
Step-by-step explanation:
look at the picture. :) hope this helps
Answer:
y = 4
Step-by-step explanation:
Lets begin by combining like terms, starting with y. We can take the -y on the right, and bring it to the left side, adding it with the 3y already there. We are now at.
4y - 4 = 12
We now can take the -4 from the left and bring it to the right as +4.
4y = 16
We can now divide 16 by 4, getting 4 as the final answer.
Some friends went to dinner. They left a 15% tip. If their meal cost was $28.00, what was the
amount of tip they left?
Answer:
$4.20
Step-by-step explanation:
0.15 x $28.00=$4.20.
A teacher uses the function G(x) = -3x + 100 to calculate a student's grade, G(x), on a test if the student misses x questions on the test. Which statement best descebes the slope of the function? Show complete working format please
Answer:
then it would 50 no? i first divided 100 from x and game me 100x and then since i knew that 2 plus 3 is 5 and if i add a 0 then it would make 50
Step-by-step explanation:
half of a number is subtracted from 19, the result is 13 what is the number
Answer:
12
Step-by-step explanation:
12 / 2 = 6
19 - 6 = 13
Answer:
12
Step-by-step explanation:
19-13 is 6
Half of 12 is 6
Which two ratios form a proportion?
3:4 and 6:12
3:4 and 9:15
3:4 and 12:18
3:4 and 15:20
Answer:
3:4 and 15:20
Step-by-step explanation:
The answer is the fourth one because 3:4 and 15:20 are equivalent, so there's your answer. Hope it helps!
What is 7(x+4)= -21?
Answer:
x = -7
Step-by-step explanation:
7x + 28 = -21
7x = -21 -28
7x = -49 /:7
x = -7
disregard question..............................................................................................................................
Answer:
whats the question.
Step-by-step explanation:
let me know
2(x + 3) = 18
please i need a valid answer I'm in 6th-grade pre-ap so this is seventh-grade math.
Answer:
6
Step-by-step explanation:
2(x+3)=18
2x+6=18
2x=12
x=6
Answer:
x = 6
Step-by-step explanation:
2(x + 3) = 18
2x + 6 = 18
2x = 12
x = 6
I think the answer is:
- 2(5x+3)/(x+1)(x-5)(x+3)
But another person said:
10x-6/(x+3)(x+1)(x-5)
Who is correct? *Btw for my answer the whole fraction is negative not just the top or bottom.*
PLEASE HELP THANK YOU