Solve the following system of equations algebraically:
x + 5y = -19
3x - y=-9
Answers
Answer:
x= -4, y=-3
Step-by-step explanation:
solving the two equations simultaneously you'll get x to be-4 and y to be -3
x+ 5y= -19
3x-y=-9
multiplying the second equation by5
15x-5y=-45
adding eqn 1 and eqn 3
16x= -64
x= -4
substituting into eqn 2
3(-4)-y= -9
-y= -9+12
-y= 3
y=-3
Related Questions
CAN SOMEBODY SOLVE THE EQUATION
Answers
25.2 - 5.7 = 19.5
They will spend 19.5 billion dollars
Pls help asap, have a great day
find, w: x: y: z:
Answers
Answer:
See below ↓
Step-by-step explanation:
Finding w and x [both are equal]
Take the cos function of one of the 45° angles, which is the ratio of the adjacent side to the hypotenusecos(45°) = [tex]\frac{1}{\sqrt{2} } = \frac{w}{6}[/tex]⇒ w = [tex]\frac{6}{\sqrt{2} } = \frac{6}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} } = \frac{6\sqrt{2} }{2}[/tex]⇒ w = 3√2 and x = 3√2Finding y
Take the cos ratio of the 60° angle to find ycos(60°) = [tex]\frac{1}{2} = \frac{y}{x} = \frac{y}{3\sqrt{2} }[/tex]⇒ y = [tex]\frac{3\sqrt{2} }{2}[/tex]Finding z
Take the sin ratio of 60° angle of the triangle, which is the ratio of the opposite side to the hypotenusesin(60°) = [tex]\frac{\sqrt{3} }{2}= \frac{z}{x} = \frac{z}{3\sqrt{2} }[/tex]⇒ z = [tex]\frac{3\sqrt{6} }{2}[/tex]John is going to plant spinach in a rectangular area of his garden. The rectangle is 11 feet long and 7 feet wide. What is the area of this rectangle?
77 sq ft
75 sq ft
18 ft
36 ft
Answers
Answer:
The area of rectangle is 77 sq ft.
Answer: 77 sq ft
Step-by-step explanation:
Which of the following best describes the graph below?
-
A It is a function, but it is not one-to-one
B. It is a one-to-one function
C. It is a many-to-one function
D. It is not a function
Answers
Answer:
B. it is a one-to-one function
Step-by-step explanation:
since the line is curving a bit while passing.
A chef used one-half of a bag of potatoes for a meal. If the potatoes fed 2 people, what
fraction of the bag did each person get?
(Help plss as soon as you can)
Answers
Answer: 1/4
Step-by-step explanation: each person had half of the half of bag.
help plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answers
Answer:
G. Between 6 and 7
Step-by-step explanation:
As 41 lies between the square of 6 and 7
FIRST GET BRAINIEST PERIODTT TYSMMSMSMMSM
Answers
hope this helps
height: 6-2=4 units
length: 9-3=6 units
4×6=24
-> 24 units
An inequality is shown.
Select all the values of that make the inequality true.
Answers
Answer:
2/5
1
3/2
Step-by-step explanation:
Note that:
> = Greater than
< = Less than
≤ = Less than or equal to
≥ = Greater than or equal to
Solution:
Since it given that 27/7n > 4/3
It means that
27/7n is greater than 4/3.
Now going through all answer chioces:
-----------------------------------------------------------------------------------------------------------
27/7(2/5) = 1 19/35
1 19/35 is greater than 4/3
Thus, 2/5 is true.
-----------------------------------------------------------------------------------------------------------
27/7(1/3) = 1 2/7
1 2/7 isn't greater than 4/3
Thus, 1/3 is false.
-----------------------------------------------------------------------------------------------------------
27/7(1) = 3 6/7
3 6/7 is greater than 4/3
Thus, 1 is true.
-----------------------------------------------------------------------------------------------------------
27/7(2/9) = 6/7
6/7 isn't greater than 4/3
Thus, 2/9 is false.
-----------------------------------------------------------------------------------------------------------
27/7(3/2)=5 11/14
5 11/14 is greater than 4/3
Thus, 3/2 is true.
-----------------------------------------------------------------------------------------------------------
[RevyBreeze]
The perimeter of the surface of a workbook is 46 inches. It is 13 inches tall. How wide is it?
Answers
Answer:188
Step-by-step explanation:
u have to add all the side which is 46+46+13+13=188
Vani bought snacks for her team's practice. She bought a bag of popcorn for $3.39
and a 18-pack of juice bottles. The total cost before tax was $26.61. Write and solve
an equation which can be used to determine x, how much each bottle of juice costs.
Equation:
Answer: x=
Answers
Answer:
x= (26.61-3.39)/18
Step-by-step explanation:
simplify 15a+21b-6a-4
Answers
Answer:
9a+21b-4
Step-by-step explanation:
first of all combine the like terms
15a + 21b - 6a - 4
= 9a + 21b - 4 Ans.
The simplified expression of 15a+21b-6a-4 is 9a+21b-4
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 15a+21b-6a-4
Fifteen times of a plus twenty one times of b minus six times of a minus four.
a and b are the variables and plus, minus are the operators
Add the like terms in the expression
15a-6a+21b-4
Fifteen times of a and minus six times of a are the like terms.
So add these like terms.
When 15 and -6 are added we get 9
So the expression becomes as Nine times of a plus twenty one times of b minus four.
9a+21b-4
Hence, the simplified expression of 15a+21b-6a-4 is 9a+21b-4
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ7
help asap will give brainly .
A drawer is 5 feet wide, 4 feet deep. If the volume is 40, what is the height =
Answers
help please. I don't know it
Answers
Find the area of the rhombus.
Answers
Step-by-step explanation:
as the graphic shows, we are dealing with a special rhombus : a square.
this is proven by the fact that the angle on one side of the diagonal at the corner is 45°. so, the other side must be 45° too, and so we have 90° angles at the corners.
what is not clear to me is : what is 6 cm long ? a half-diameter, or the whole diameter ?
I assume the half-diameter.
what the graphic is trying to suggest is that we have 4 little right-angled triangles that are also isoceles triangles (their legs are equally long).
every leg is 6 cm long (based on my assumption above).
because they are right-angled, the area of each of these little triangles is leg×leg/2
6×6/2 = 18 cm²
we have 4 triangles, so the total area is
4×18 = 72 cm²
if 6 cm stands for the whole diagonal after all, then the only change is the length of the legs, which would be then 6/2 = 3 cm.
then we would have
3×3/2 = 4.5 cm² for a single triangle
and
4×4.5 = 18 cm² for the whole area.
I NEED HELP ASAP!!!!!!!!
QUESTION BELOW
Answers
Answer:
Step-by-step explanation:
Q9.
Solve the simultaneous equations
7x – 2y = 34
3x + 5y = -3
Show clear algebraic working.
Answers
After solving simultaneously we found the values for x and y are
2.76 and 5.65 respectively
Simultaneous EquationsWe have the following two expressions
7x – 2y = 34 --------1
3x + 5y = -3 ---------2
Multiply 1 by eqn 5 and eqn 2 by 2
35x - 10y = 170-------3
6x + 10y = -6 ----------4
subtracting 4 from 3 we have
29 x= 164
divide both sides by 29
x = 164/29
x = 5.65
Put x = 5.65 in eqn 1 to find y
7*5.65 – 2y = 34
39.55 - 2y = 34
39.55-34 = 2y
5.55 = 2y
divide both sides by 2
x = 5.55/2
x = 2.76
Learn more about simultaneous equations here:
https://brainly.com/question/16863577
Please factorise 14cd – 7c
Answers
Answer:
7c (2d - 1)
Step-by-step explanation:
Common factorization
Answer:
[tex]\bold{ 7c(2d - 1)}[/tex]
Step-by-step explanation:
[tex]\sf \rightarrow 14cd - 7(c)[/tex]
take 7(c) as common factor
[tex]\sf \rightarrow 7c(2d - 1)[/tex]
factorised
[tex]\sf 7 c(2d - 1)[/tex]
circle the possible values that satisfy each inequality!
Answers
Answer:
25
Step-by-step explanation:
5 > x/5
5 × 5 > (x/5) × 5
25 > x
Edward counted out 20 cards for a card game. Then he split those cards evenly among the 4 players.
The letter c stands for the number of cards for each player. Which equation can you use to find c?
option
20-4=C
20/4=C
Answers
Answer:
20/4=c
Step-by-step explanation:
You can tell that that is the right answer, because 20-4=c means that each person would get 16 cards, and if you multiply that by 4(the amount of people that are playing) It's way more than 20 cards, so you know that 20/4=c is the right answer. Hope that helped;)
HELLO PLS HELP ME THIS IS DUE TMR AND I DONT UNDERSTAND THE ANSWER
Answers
Answer:
6x+7=13
2/3x+8= 8.66
Step-by-step explanation:
calculator and rule with a compass
If the sum of a number and four is tripled the result is eight less than twice the number
Answers
Answer:
The number is -20.
Step-by-step explanation:
If x is the number, then 3(x+4)=2x-8.
3x+12=2x-8
x=-20
Answer:
- 20
Step-by-step explanation:
if the number if x then 3(X+y 4= 2X-8: 3X+12= 2x-8
x = -20
A bag of balloons contains 4 red balloons, 11 green balloons, 15 yellow balloons, and 8 orange balloons. What is the probability that
a randomly selected balloon would be green or orange?
Answers
Answer:
There is motlre chance that a green Ballon will be selected because green Ballon are more than orange
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
The diameter of a cylindrical construction pipe is 5 ft. If the pipe is 25 ft long, what is its volume?
Answers
Answer:
490.87 ft^3.
Step-by-step explanation:
Radius = 1/2 * 5 = 2.5 ft.
Volume = π r^2 L
= π*2.5^2*25
= 490.87 ft^3
José is painting a backdrop for the school
play. The rectangular backdrop is
60 inches by 45 inches. If his container of
paint can cover 25 square feet, does
he have enough to paint the backdrop?
Answers
Answer:
Definitely not
Step-by-step explanation:
60*45 = 2700 and 2700 square inches converted into feet is 225 square feet
how many right angles in this shape the shape is a trapezoid
Answers
Answer:
Two
Step-by-step explanation:
Since two of the angles are 90 degrees, they are right angles.
Answer: There are 2 right anges in a trapizoid
Step-by-step explanation:
1 is on the bottom lieft side 2nd one is on the other is on the bottom right sideFind the measure of each angle.
x - 7
X
x + 10
Answers
Answer:
x - 7: 52
x: 59
x + 10: 69
Step-by-step explanation:
Since we have a straight line, we know that the angles must add up to 180. We can set up an equation to solve:
x - 7 + x + x + 10 = 180
Combine like terms:
3x + 3 = 180
Subtract 3 on both sides:
3x = 177
Divide by 3 on both sides:
x = 59
Now plug in 59 for each angle.
The "x - 7" angle should equal 52, the "x" angle should equal 59, and the "x + 10" angle should equal 69.
Answer:
52°, 59°, and 69°
Step-by-step explanation:
Each of these angles add up to make a straight line, or = 180°
(x - 7) + x + (x + 10) = 180
3x + 3 = 180
3x = 177
x = 59
Angle A = 52°
Angle B = 59°
Angle C = 69°
52 + 59 + 69 = 180!
A certain number added to its square is equal to 90. What is/are the number(s) that work?
Answers
Answer:
9,-10
Step-by-step explanation:
Let u be a number.
[tex]u + {u}^{2} = 90[/tex]
[tex]u {}^{2} + u - 90 = 0[/tex]
[tex](u + 10)(u - 9) = 0[/tex]
[tex]u = - 10[/tex]
or
[tex]u = 9[/tex]
9, -10
The fastest helicopter in the world is the CH-47F Chinook, with a maximum speed of 315 km/h. What distance can it fly in 12 minutes?
Answers
Answer:
63 km
Step-by-step explanation:
Given :
Speed = 315 km/hTime = 12 minutesSolving :
Convert minutes into hours so that the units are equal, otherwise your answer will not be correct.
There are 60 minutes in an hourTherefore, 12 minutes is equal to :12/60 hours1/5 hours0.2 hoursCalculating distance
Distance = Speed x TimeDistance = 315 km/h x 0.2 hDistance = 63 kmAnswer:
frist convert 315k/h into m/s
then convert 12min into sce
=12*60
=720
distance = v*t
=315*720
=226800m
11. Joe lists his expenses to make a budget. Which of
these is a variable expense?
A. He pays about $400 in rent.
B. He spends $95 a month eating at
restaurants.
C. He pays $250 each month for his car
payment.
D. His cable bill is $40 each month
Answers
Answer:
B
Step-by-step explanation:
Because of inflation, prices at restaurants would go up.
Someone help. I don’t understand the question.
Answers
Answer:
9.9[tex] \: [/tex]
Step-by-step explanation:
Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.
We'll find the measure of third side with the help of the Pythagorean theorem,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]
Here,
The base is 13.2The perpendicular is aThe hypotenuse is 16.5[tex] \: [/tex]
So, substituting the values in the formula we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (13.2) {}^{2} + (a {)}^{2} = (16.5) {}^{2} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 174.24 + (a {)}^{2} = 272.25 }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (a {)}^{2} = 272.25 -174.24}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (a {)}^{2} = 98.01}}} \\ \\ \\ {\longrightarrow \pmb{\sf {\qquad a = \sqrt{98.01}}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad a = 9.9}}} \\ \\[/tex]
Therefore,
The length of the missing side of the right triangle is 9.9