Answers
[tex]8x - 7y = 23 \\ 8x - 23 = 7y \\y = \frac{8}{7} x - \frac{23}{7} [/tex]
The solution of the equation, when it is solved for y, has one variable term x with coefficient 8/7 and one constant term 23/7, 8/7x-23/7.
How to solve an equation for its variable?The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.
To solve an equation for its variable, isolate the variable on one side of the equation using the mathematical operations.
The given expression is,
[tex]8x - 7y = 23[/tex]
The expression has two variables, x and y. To solve it for y, subtract 8x from both sides,
[tex]8x - 7y -8x= 23-8x\\-7y=23-8x[/tex]
Divide with number 7 both sides and change the sign of the equation,
[tex]y=-\left(\dfrac{23-8x}{7}\right)\\y=\dfrac{8x-23}{7}\\y=\dfrac{8}{7}x-\dfrac{23}{7}[/tex]
Thus, the solution of the equation, when it is solved for y, has one variable term x with coefficient 8/7 and one constant term 23/7, 8/7x-23/7.
Learn more about the solution of the equation here;
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Related Questions
Hamilton's rule is "Add 4." If he starts with 8, which number would be the 5th number in his pattern?
A. 28
B. 24
C. 20
D. 12
Answers
Answer:
B. 24
Step-by-step explanation:
If N1 = 8;
N1 + 4
8 + 4 = 12 =N2
N2 + 4
12 + 4 = 16 = N3
N3 + 4
16 + 4 =20 = N4
N4 + 4
20 + 4= 24 = N5
2
Question 7(Multiple Choice Worth 1 points)
(04.04LC)
Point P on the coordinate grid below shows the location of a stage light. A second stage light is 6 units above P. The length of each square on the grid is
2 units. What are the coordinates of the location of the second stage light?
2
16-14-12-1046
012101
O (8.-10)
O (8,2)
(14,2)
(14.-10)
Answers
Answer:
Add 8 to the y value of point p, (4, -2 +8)So the location of the second light is on point (4,6)
A?
B?
C?
D?
Who ever is right gets brainlest<3
Answers
Answer:
i think that the answer is b
hope it helps
can somebody please tell me if this is correct or not
Answers
Answer:
I would have done it the same way. Believing it is correct.
Step-by-step explanation:
Answer: Looks precise
Step-by-step explanation:
whats the slope of (-5,-11) and (-2, 1)
Answers
Answer:
4
Step-by-step explanation:
please help me with this. really need this
Answers
Answer:
(a) 1
Step-by-step explanation:
When you draw a horizontal line on the graph at y=1, you see it intersects the curve in two places. That is, there will be 2 real solutions to f(x) = 1, not 4 solutions.
If you want 4 solutions, the value of c in f(x)=c cannot be 1.
Bro this is so hard
Answers
Answer:
c = 50 degrees and d = 30 degrees
Answer:
C = 80 degrees
D = 30 degrees
Step-by-step explanation:
To find the angle of C you have to add the other angles of that triangle. The total angle of a triangle is 180 degrees.
50 + 30 = 80
Subtracted 80 from 180 to get the other missing angle next to angle c. That is 100. A straight line is 180 degrees so you get 80 degrees for angle C.
To find the angle of D you add angle C, which is 80, to the 100 degree angle and get 180. The total degrees for a four-sided shape is 360 degrees. Then you try to figure out the other missing angle next to the 30-degree angle. A straight line is 180 degrees so subtract 30 from 180 to get the value of the missing angle.
180 - 30 = 150
Add the 180 degrees from earlier to 150 and you get 330. Subtract 330 from 360 and you get 30 degrees. Therefore the angle for d is 30 degrees.
The local cable company charges $90 per month for basic cable and $12 per month
for each additional premium cable channel. The function c (x) = 90 + 12x represents
the monthly charge (in dollars), where x represents the number of additional premium
channels. How many additional premium channels would you have ordered if your bill
was $114 per month?
Answers
Find the missing factor
Answers
Answer:
[tex](x^4y^5)(x^2y^4)[/tex]
Step-by-step explanation:
Keep these things in mind:
[tex]x^3\times x^3=x^{3+3}=x^6\\\\(x^3)^3=x^{3\times3}=x^9[/tex]
Using those, simplify the left side of this equation:
[tex](x^2y^3)^3\\x^6y^9[/tex]
Now we know what the exponents need to become, so we can find the difference between those and what we have on the right:
[tex]6-4=2\\9-5=4[/tex]
We need to add a 2 to the x, and add a 4 to the y.
[tex](x^4y^5)(x^2y^4)[/tex]
PLEASE ITS DUE 5 MINS
Answers
Answer:
I'm sorry pls retake the pic really quickly.. I can't see the entire problem!
Then I'll add my answer if I can! Thx!
Please plot the resulting points.
Answers
Answer:
See explanation
Step-by-step explanation:
When you reflect across the y axis the numbers stay the same but the x coordinates become negative.
So the new coordinates are:
F(-4, 6)
G (-9, 6)
H (-7, 1)
I (-4, 0)
J (-1, 3)
my Christmas present to you
Answers
Answer:
super man
Step-by-step explanation:
evaluate if r=12 s= -4 t= -6
8-r/-2
Answers
Answer:
8-r/-2
8-12/-2
-4/-2
2
This is the answer
I think this will help you
Castel and Kali are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Castel sold 2 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for a total of $89. Kali sold 9 rolls of plain wrapping paper and 10 rolls of holiday wrapping paper for a total of $213. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper?
please help, am not good at word problems. I will also give the brainliest answer.
Answers
Answer:
Plain is $7 and Holiday is $15
Step-by-step explanation:
Castel: 2p + 5h = 89
Kali: 9p + 10h = 213
Double Castel's: 4p + 10h = 178
Subtract fro Kali's 9p + 10h = 213
- 4p + 10h = 178
5p = 35
p = 7 Plain is $7
Substitute 7 into one of the equations and solve for h:
2(7) + 5h = 89
14 + 5h = 89
5h = 75
h = 15 Holiday is $15
18 of the 23 tables at Paul's Italian Restaurant are full. What is the ratio of the number of full tables to the number of empty tables?
Write your answer as two numbers separated by a colon (for example, 2:3).
Answers
Answer: 18:23
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answers
The 'm' stands for gradient
7) 9+20/-5+14
m = 29/9
8) -6-1/5+1
m = -7/6
9) -9-9/-14-15
m = 18/29
10) 15+12/18-2
m = 27/16
what value is equivalent to -30-2^3*3
Answers
- 30 - 2³ × 3
= - 30 - 8 × 3
= - 30 - 24
= - 54
Follow the order of PEMDAS.
P =》Parenthesis
E =》Exponents
M =》Multiplication
D =》Division
A =》Addition
S =》Subtraction
____
Hope it helps ⚜
the average score of the five tests was 83. The first 4 scores were 91, 78, 86, 72. What was the score of the 5th test. Thank you so much!
Answers
Answer:
88
Step-by-step explanation:
7+2x/3=5 please give me an answer as soon as you can
Answers
Answer:
x = -3
Step-by-step explanation:
7 + 2x/3 = 5
3 . 7 + 2x
-------------- = 5
3
21 + 2x
----------- = 5
3
HELPPPPP PLEASE ACTUALLY GIVE ME THE ANSWER AND NOT JUST A link PLSSS ITS DUE IN 23 MINUTESSS!!!!!!!!!!!! HELP
Answers
Answer:
4 1/9
Step-by-step explanation:
Well we can infer that the whole number will be 4. And 0.111 repeating is 1/9 as a fraction.
What is the domain and range ?
Answers
Answer: domain are the ones that go side to side or the x range is the ones that go up and down or the y
Step-by-step explanation:
Find the value of x.
Answers
Answer:
11
Step-by-step explanation:
Arc YZ and angle YXZ must add up to 180. You can review your notes, and you will probably find an identity that relates to this. But I will prove this using quadrilaterals, mainly, well, because I forgot what the identity was.
Lets call the center of the circle O. Angles XYO and XZO must be 90 degrees since they are tangent to the circle. These angles add up to 180, leaving the two remaining angles, who also must add up to 180. Therefore, the angle YOZ, and YXZ, must add up to 180. Note that angle YOZ is equal to arc YZ.
In our case, angle YOZ is 125 degrees given by the arc YZ, and the angle of YXZ is 6x-11. We can set up an equation like this:
YXZ+YOZ=180
6x-11+125=180
Simplify
6x+114=180
Solve
6x=66
x=11
Therefore, our value of x is 11 and the angle YXZ is 55 degrees.
Identify the constant of proportionality from the graph.
Please help I’ll give brainlist just please help and please no links or spamming just please hurry and give me the answer thank you!!!
Answers
Answer:
y=3x
Step-by-step explanation:
you have to figure out what mutiply by your x give you y
2/1
3/6
when you divide you get 2
Find the slope of the line that passes through (-39, -32) and (-40, 41). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer: The answer is that the slope is 9.
A cone has a radius of 5. 1 inches and a height of 5 inches. What is the volume of the cone? Use 3. 14 for pi. Round to the nearest tenth. 25. 0 inÂł 75. 0 inÂł 125. 4 inÂł 136. 1 inÂł.
Answers
The correct option is D. 136.1 cubic inches.
Given, Radius of cone is 5.1 inches.
Height of cone is 5 inches.
We know that, volume of cone,
[tex]V=\frac{1}{3} \pi r^{2} h[/tex]
Here r is the radius of cone and h is its height.
on putting the value of r and h, we get
[tex]V=\frac{1}{3} \times3.14\times(5.1)^{2} \times5[/tex]
[tex]V=\frac{1}{3} \times3.14\times26.01\times5[/tex]
Or, [tex]V=136.119 \ cubic \ inches[/tex].
The volume of cone to the nearest tenth is 136.1 cubic inches.
Hence the correct option is D. 136.1 cubic inches.
For more details on the volume of cone follow the link:
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A cat gave birth to 3 kittens who each had a different mass between 147 and 159 g. Then the cat gave birth to a 4th kitten with the mass of 57 g. How will the birth of the 4th kitten affect the mean and median?
Answers
which is the next two equivalent fractions of 2/3 , 5/7
Answers
Answer:
[tex]\frac{2}{3}[/tex] X [tex]\frac{2}{2}[/tex] = [tex]\frac{4}{6}[/tex]
[tex]\frac{2}{3}[/tex] X [tex]\frac{3}{3}[/tex] = [tex]\frac{6}{9}[/tex]
Ans: [tex]\frac{2}{3}[/tex] => [tex]\frac{4}{6}[/tex] and [tex]\frac{6}{9}[/tex]
[tex]\frac{5}{7}[/tex] X [tex]\frac{2}{2}[/tex] = [tex]\frac{10}{14}[/tex]
[tex]\frac{5}{7}[/tex] X [tex]\frac{3}{3}[/tex] = [tex]\frac{15}{21}[/tex]
Ans: [tex]\frac{5}{7}[/tex] => [tex]\frac{10}{14}[/tex] and [tex]\frac{15}{21}[/tex]
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?
Answers
Answer:
62%
Step-by-step explanation:
120-46=74
74/120 don't use
simplify 37/60
to percent; 62%
The altitudes of each triangle are drawn. Which of the triangles has an orthocenter on the exterior of the triangle?
Answers
Answer:
the second triangle
Step-by-step explanation:
because the point of intersection is out the triangle
Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha.
Which expressions both calculate the number of hours Demetrius works in a 5-day work week?
5
x
+
1
and
5
(
x
+
1
)
5 x plus 1 and 5 times open paren x plus 1 close paren
(
x
+
1
)
×
5
and
5
×
x
+
1
open paren x plus 1 close paren times 5 and
5
×
x
+
1
5
(
x
+
1
)
and
5
x
+
5
5 times open paren x plus 1 close paren and 5 x plus 5
(
x
+
1
)
×
5
and
5
+
(
x
×
1
)
open paren x plus 1 close paren times 5and 5 plus open paren x times 1 close paren
Answers
The expressions that can be used to calculate both numbers of hours Demetrius works in 5-day work week is 5(x + 1) and 5x + 5
We are being told that Latisha works x hours each day and Demetrius works 1 more hour each day than Latisha.
So,
Let the amount of works done by Latisha be = xThen, the amount of works done by Demetrius will be = x + 1Thus, the both expression that can determine the number of hours Demetrius works in five days is:
= 5(x + 1) and 5x + 5
This is because if we open the bracket from 5(x+1) and multiply each term in the bracket with 5, we end up having 5x + 5.
5 times open paren x plus 1 close paren and 5 x plus 5 is correct.Learn more about word problems here:
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