Answers
[tex]x = 23[/tex]
Step-by-step explanation:
First, we need to write the equations in their standard form, i.e., all the variables and their coefficients are to be placed on the left hand side and the plain numbers on the right hand side. The first equation is already in its standard form:
[tex]2x + 5y = 35\;\;\;\;\;(1)[/tex]
but we need to rewrite the 2nd one. So the standard form of the 2nd equation can be written as
[tex]x + 15y = -10\;\;\;\;\;(2)[/tex]
Now that the equations are in their standard forms, the next step that we need to do is to eliminate one of the variables, namely the y. To do that, we need to multiply either one of the equations so that when we add them together, the y-variable gets eliminated. Note if we multiply Eqn(1) by -3, we'll get -15y on one equation and a +15y on the other equation so that when they are added together, they cancel out. So if we do that, we get
[tex]-6x - 15y = -105\;\;\;\;\;(3)[/tex]
Adding Eqn(3) to Eqn(2), we get
[tex]-5x = -115[/tex]
or
[tex]x = \dfrac{-115}{-5} = 23[/tex]
Related Questions
Write the expression for the following situation: Roger has 5 toy cars. His sister gives
himxmore for his birthday. He wants to find his totd
Answers
This shows the total of Roger’s toy car plus what his sister gives.
End of Semester test geometry semester a question 29
Triangle DEF is dilated with respect to the origin by a scale factor of to produce ΔD'E'F'. What is the length of side D'E'?
A.
B.
C.
D.
Answers
The resulting coordinate will be D'(2, 6), E'(4, -6), and F'(0, 10),
Let the coordinate of the triangle DF be given as D(1, 3), E(2, -3) and F(0, 5).
For instance, if the coordinate point (x, y) is dilated by a factor of k, the resulting coordinate will be (kx, ky)Note that each of the coordinates is multiplied by the scale factor.
For the coordinates D(1, 3), E(2, -3), and F(0, 5), assuming the coordinate point is dilated by a factor of 2, the resulting coordinate will be D'(2, 6), E'(4, -6), and F'(0, 10),
Learn more on dilation here: https://brainly.com/question/10253650
Note that the question is answered on a general term.
Answer:
√5
Step-by-step explanation:
I got it right on Edmentum
Hook me up with a 5 star and a thanks :)
PLZ HELPPPPP QUICKLYYYY!!!!!!!!!!!!!
Answers
Answer:
root 490
Step-by-step explanation:
Divide 3/8 divided by 2/3 and express the answer in the simplest terms.
Answers
Determine the equation of a circle with center at (8, 10) and radius 6.
1) (X + 8)2 + (y - 10)2 = 36
2) (x + 8)2 + (y + 10)2 = 36
3) (x-8)2 + (y - 10)2 = 36
4)(x - 8)2 + (y - 10)2 = 6
Answers
Answer:
Step-by-step explanation:
general equation for a circle at the origin is
x² + y² = r²
if the circle center is (x₀, y₀), the formula is
(x - x₀)² + (y - y₀)² = r²
(x - 8)² + (y - 10)² = 36
On which number line -9 and its opposite shown?
Answers
Answer:C TRUST MEEE
Step-by-step explanation:
mark as brainliest
Write in expanded form
1) 531.029
Answers
Answer:
expanded for everything
Step-by-step explanation:
Expanded Form of 531.029:
531.029 = (5 * 102) + (3 * 101) + (1 * 100) + (2 * 1/102) + (9 * 1/103)
531.029 = (5 * 100) + (3 * 10) + (1 * 1) + (2 * 1/100) + (9 * 1/1,000)
531.029 = 500 + 30 + 1 + 2/100 + 9/1,000
531.029 = 500 + 30 + 1 + 0.02 + 0.009
what is the y intercept of the graph
what is the slope
Answers
Answer:
y-intercept = 1
slope = 4
Step-by-step explanation:
The y-intercept is where the line intersects with the y.
And the slope is rise over run, so it rises 4 and walks over 1, therefore the slope is [tex]\frac{4}{1}[/tex] which simplifies to 4.
Hope this helped! :)
Answer:
y intercept (0,1)
slope 4
Step-by-step explanation:
The y intercept is where the graph crosses the y axis
The graph crosses at y =1
(0,1)
We can find the slope by taking rise over run
The graph rises 4 units ( goes up 4 units)
Then goes to the right 1 units
The slope is 4/1 = 4
2. Find the equation of the perpendicular bisector of line PQ where the co-ordinates of P and Q are P (-2, 8) and Q (4,7)
Answers
Answer:
2y - 12x = 3
Step-by-step explanation:
gradient of line PQ= (7-8)/ 4+2
-1/6
gradient of perpendicular bisector of line PQ=
-1 ÷ -1/6
-1× -6
6
coordinates of the midpoint of line PQ
(-2+4)/2, (8+7)/2
(1, 15/2)
the perpendicular bisector passes through the midpoint of line PQ
Equation of the perpendicular bisector
y - 15/2 = 6(x - 1)
multiply through by 2
2y - 15 = 12(x - 1)
2y - 15 = 12x - 12
2y - 12x = 3
3=2x
Solve this equation.
Then verify IT.
Answers
[tex] \huge \bf \: Question : [/tex]
[tex]3 = 2x[/tex]
This is an equation. We need to find the value of X and verify it.
[tex] \huge \bf \: Solution : [/tex]
Let's find out the value of X :-
[tex] \sf \implies \: 3 = 2x[/tex]
Firstly, over turn the equation :-
[tex]\sf \implies2x = 3[/tex]
Then, Divide both sides of this equation by 2 :-
[tex]\sf \implies \: \dfrac{2x}{2} = \dfrac{3}{2} [/tex]
Cancel 2/2 on this equation and Leave x :-
3/2 can't be cancelled.
[tex]\sf \implies \: \dfrac{ \cancel2x}{ \cancel2} = \dfrac{3}{2} [/tex]
[tex]\sf \implies \: x = \dfrac{3}{2} [/tex]
Hence the value of x is 3/2.
________________________________
[tex] \bf \huge \: Verification : [/tex]
Put the value of x on this equation :-
[tex]\sf \implies \: 3 = 2x[/tex]
On Putting 3/2 instead of x :-
As we know that x is multiplied with 2 so,
[tex]\sf \implies \: 3 = 2 \times \dfrac{3}{2} [/tex]
Simplify this equation(Cancel 2 and 2) :-
[tex]\sf \implies \: 3 = \cancel2 \times \dfrac{3}{ \cancel2} [/tex]
[tex]\sf \implies \: 3 = 3[/tex]
[tex]\sf \implies \bf \: L HS = RHS[/tex]
[tex] \boxed {\bf\huge Hence, verified.}[/tex]
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
what two numbers multiply to -36 and adds to 1?
Answers
The larger I grow, the less you can see!
What am I??
Answers
Answer: The darkness is the correct answer
Step-by-step explanation:
As you know that if the darkness becomes bigger you are unable to see it. Hope you like the answer do let me know in the about your thoughts.
help me please ill mark as the brainiest if correct.
Answers
Answer:
14 minutes
Step-by-step explanation:
For every two minutes the temperature increases by 15 c. since 8 equals 55, 10 is 70, 12 is 85, and 14 is 100.
Answer:
14
Step-by-step explanation:
If 11% of a number equals 12, find 66% of that number
Answers
Answer: 72
Step-by-step explanation:
0.11*a = 12
0.66*a = ?
Hint: We don't need to find a to answer this question! Just find the relationship with these equations.
0.66*a = 6*(0.11*a) = 6*12 = 72
During a chess match there are 15 pieces left on the board. the ratio of the white pieces to black pieces is 3 : 2 how many white pieces are on the white board?
Answers
==========================================================
Explanation:
The ratio 3:2 scales up to 3x:2x for some positive whole number x.
We have 3x white pieces, 2x black pieces, and 3x+2x = 5x pieces total. Set this equal to the 15 mentioned and solve for x.
5x = 15
5x/5 = 15/5
x = 3
Therefore, there are 3x = 3*3 = 9 white pieces and 2x = 2*3 = 6 black pieces, which gives 9+6 = 15 total. The ratio 9:6 reduces to 3:2 after dividing both parts by the GCF 3.
are 1/2 and 2/4 proportional?
Answers
Answer:
yes they are proportional
Can y’all please help me answer this, this My last question
Answers
Answer:
x ft is the answer since X = 10
so it means 10 ft
Bob spends $650 for a gym membership plus $75 for each hour with a personal trainer. Is the description linear or exponential?
Answers
Answer:
y = 75x + 650
So I think it's linear.
Oceanside Bike Rental Shop charges 13 dollars plus 8 dollars an hour for renting a bike. Tim paid 45 dollars to rent a bike. How many hours did he pay to have the bike checked out?
Answers
Step-by-step explanation:
Shop charges =13
Many left for renting bike = 45-13 =$32
If renting for 1hr cost $8
then renting for X Hrs will cost $32
1/X =8/32 cross multiplying
8X= 32
X= 32÷8= 4hrs
M is the midpoint of the segment. Find the length of XM.
Answers
Answer:
Step-by-step explanation:
4x+3=3x+5
x+3=5
x=2
Subsitute: 4x+3=11
XM=11
Find the x- and y-intercepts of the parabola y=x2+4x−6.
Answers
1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?
Answers
Answer:
217 seconds
Step-by-step explanation:
3 minutes = 180 seconds
180 seconds + 37 seconds = 217 seconds
For what value(s) of k is + 3 a factor of 3 + 5 2 + − 9
FAST FASTTTT
Answers
Answer:
56
Step-by-step explanation:
this drawing shows an isosceles triangle work out the size of angle a plz help as soon as possible thks
Answers
Answer:
70°
Step-by-step explanation:
Size of angle a = (180°-40°) ÷ 2 (angle sum of triangle; base angles of isos triangle)
= 140° ÷ 2
= 70°
Answer:
a + 40° = 180°
a t40°-40° =180°- 40°
a = 140°
Step-by-step explanation:
isosceles add up to 180°
As an improper fraction simplified
Answers
Answer:
82/63
Step-by-step explanation:
The sum can be found using the formula ...
[tex]\dfrac{a}{b}+\dfrac{c}{d} =\dfrac{ad+bc}{bd}[/tex]
For the given fractions, the sum is ...
[tex]\dfrac{6}{7}+\dfrac{4}{9} =\dfrac{6\cdot9+7\cdot4}{7\cdot9}=\dfrac{54+28}{63}=\boxed{\dfrac{82}{63}}[/tex]
_____
Additional comment
When the denominators have no common factor, the least common denominator is their product, as here.
Answer:
For this question, you can make the denominators the same to get the answer.
LCM of 7 and 9 = 63
[tex]\frac{6}{7} + \frac{4}{9} = \frac{54}{63} + \frac{28}{63} \\[/tex]
= [tex]\frac{82}{63}[/tex]
= 1[tex]\frac{19}{63}[/tex]
Simplify \frac{10a^3}{55a^2} when a=3.
Answers
Answer:
(27000)(27225)
Step-by-step explanation:
Answer:
6/11
Step-by-step explanation:
Measurements should ALWAYS include units in conversion problems?
A. True
B. False
Answers
The answer would be
A. True
If A is the center of the circle which of these is the radii
Answers
Answer:
A-b because radius is the line segments from its center to its perimeter
Step-by-step explanation:
What is the value of the expression
Answers
Answer:
C. 9
Step-by-step explanation:
K(3)=3*3=9........................
Captain Brewster captured a pack of aliens. The following data points represent the lengths of each of the aliens' big toes (in centimeters). 18, 16, 17, 17, 16, 15, 16. Using this date, create a dot plot where each dot represents a big toe.
Answers
Answer:
15 ·
16 ···
17 ··
18 ·
19
Step-by-step explanation:
There were 2 aliens that each have big toes measuring 17 cm long. So, the 17 would have 2 dots above it:
17 ··