solve the following simultaneous equations using an algebraic method.

5x + 3y = 11
2x - 7y = 29


will be grateful!

Answers

Answer 1
y = -3
x = 4

5x + 3y = 11 [1]
2x - 7y = 29. [2]

[1]*2
10x +6y = 22 [3]

[2]*5
10x - 35y = 145. [4]

[4]-[3]
-41y = 123
y = -3
sub y into 5x +3y = 11


Related Questions

Write each phrase as an algebraic expression
1. Jenny is 5 times as old

2. Brandon spent 10 dollars more

Answers

Answer:

1. "5 times as" means multiply by 5.

Jenny = x * 5

2. "10 dollars more" means add 10

Brandon = x + 10

Please help answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

i think its 360.......

Step-by-step explanation:

i hope it helps

The sum of the interior angles for a decagon is 1,440 degrees.

mark invested 125 he earned a simple interest of 3% per year on the initial investment if no money was added or removed from the investment what was the amount of interest mark received at the end of two years

Answers

Answer:

$7.50

Step-by-step explanation:

formula for simple interest:

I = prt

I = ($125)(0.03)(2)

I = $7.50

Answer:

You time 125 by 1.03 twice subtract 125 from that awnser to get the amount of money from interest 7.6125 is the awnser

Step-by-step explanation:

what is the answer to this problem

Answers

Answer:

-11/12

Step-by-step explanation:

Answer:

-11

12

Step-by-step explanation:

You have to add the numbers, multiply them, subtract them and then finally divide.

Ms. Myrie gave her class 20 minutes to read. Carrie read 5 1/2
pages in that time. At what rate, in pages per hour, did Carrie read?

Answers

Answer:

16.5

Step-by-step explanation:

60 minutes = 1 hour

20 minutes * 3 = 60.

That means, by multiplying by a factor of 3, we can see exactly what Carrier's pg/hr speed is.

5.5 * 3 = 16.5

Answer:3.63 pagers per hour

Step-by-step explanation:

5 1/2 is the same as 5.5

20/5.5=3.63

help me please-1 = (5 + x)/6

Answers

Answer:

x= -11 I hope this helps!

Step-by-step explanation:

Answer:

x=-11

Step-by-step explanation:

/=division

*=multiplication

-1=(5+x)/6

-1*6=(5+x)/6*6

-6-5=5+x-5

-11=x

For what value of k is the expression x^4 + kx^2 + 49 a perfect square?

Answers

Answer:

[tex]k=14[/tex]

Step-by-step explanation:

Completing the square gives

[tex]x^4 + kx^2 + 49\\= (x^2+7)^2 - 14x^2 + kx^2[/tex]

So we have to cancel the latter two terms out for the expression to always become a square (otherwise we are dealing with a square plus something else, which doesn't always result in a square), giving us our answer directly.

Answer:

k=± 14

Step-by-step explanation:

[tex]x^4+kx^2+49\\Disc.=b^2-4ac=k^2-4*1*49\\it ~ is ~a ~ perfect ~ square.\\k^2-196=0\\k^2=196\\k= \pm 14[/tex]

pls Help I hate math

Answers

Answer:

C

Step-by-step explanation:

Remark

There are three rectangles all the same size.

There are two triangles both the same size

Triangles.

Givens

b = 7.5 cm

h = 6.5

Solution

Area 1 triangle =   1/2 * 7.5 * 6.5

Area 1 triangle = 24.375

Area 2 triangles = 2*24.375 =                            48.75

Rectangles

Givens

L = 13.5

w = 7.5

Solution

Area one rectangle = L*w

Area one rectangle = 13.5*7.5

Area one rectangle = 101.25

Area three rectangles =  3*101.25

Area three rectangles =                                   303.75    Add

Total Area =                                                      352.5              

what is the slope of (-3,-6) and (4,7)​

Answers

Answer:

13/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-(-6))/(4-(-3))

m=(7+6)/(4+3)

m=13/7

15
Evaluate
T
1 when T-5.

Answers

Answer:

T= 6

Step-by-step explanation:

T-5=1

find T

+5 to both sides

T= 6

Describe the transformation from y= x + 4 to y= .5x + 4 Group of answer choices compresses stretches shifts right 4 shifts left 4

Answers

Answer:

This type of transformation is a horizontal stretch.

Step-by-step explanation:

Given

[tex]y = x + 4[/tex]

[tex]y = .5x + 4[/tex]

Required

Determine the type of transformation

The first function can be expressed as:

[tex]f(x) = x + 4[/tex]

While the second function is:

[tex]g(x) = f(0.5x)[/tex]

Solving f(0.5x), we have to substitute 0.5x for x in [tex]f(x) = x + 4[/tex]

[tex]f(0.5x) = 0.5x + 4[/tex]

So:

The second function is:

[tex]g(x) = 0.5x + 4[/tex]

This type of transformation is a horizontal stretch.

i.e. f(x) stretched to g(x)

what does 2(3x − 7) + 18 = 10 equal

Answers

Answer:

x = 1

Step-by-step explanation:

We have an expression and are asked to find x perhaps?

2(3x - 7) + 18 = 10

To solve this, we need to get x alone.

Distribute :

(2(3x) - 2(7)) + 18 = 10

6x - 14 + 18

Add like terms :

6x + 4 = 10

Subtract 4 from both sides :

6x = 6

Divide 6 from both sides :

x = 1

Answer:

First you do 2x3 and then 2x7 that would be 6x and 14 so add 18 to 14 and that woukd be 32 so Try 32+6x... I would thnk i'm correct Can I also get Branliest..?

Need help pleaseeeee!!

Answers

Answer: z 1/2

Step-by-step

:) 100%

5*4 3/10 pls answer I will mark you as brainliest ​

Answers

Answer:

5x4 x 3 /10

20x 3 /10

60/10

6

Answer:

Step-by-step explanation:

[tex]5* 4 \frac{3}{10}=5* \frac{(4*10)+3}{10}\\\\= 5*\frac{43}{10}\\\\= \frac{43}{2}\\\\= 21 \frac{1}{2}[/tex]

Which fraction divided by 3/6 is equal to -9/10? A-9/20. B9/20. C-3/2. D9/40

Answers

Answer: -9/20 is equal to -9/10 when divided by 3/6 (1/2)

Step-by-step explanation:

Begin by reducing the fraction you're dividing with. In this case 3/6 can be reduced to 1.2, also known as 0.5 Beginning with -9/20, as it is the first answer option, we can put the problem into the following equation: -9/20 * 2/1 = -9/10.

It is always good to verify all of your answer options are not possible answers. However, in a question like this, the math evenly works out in most cases, eliminating any other possible answer options.

By submitting this answer and referring to the work and resources given I trust you're in accordance with the Brainly Honor Code and I take no responsibility for any laws or rules broken with you using this platform.

In a game show, players play multiple rounds to score points. Each round has 3 times as many points available as the previous round.




Round 0 1 2 3 n

Points 25 75 225 675



Which equation shows the number of points available, p, in round n of the game show?

Answers

Answer:

[tex]p = 25(3)^n[/tex]

Step-by-step explanation:

Given

Round 0 1 2 3

Points 25 75 225 675

Required

Determine the equation

Let n = rounds and p = points.

So, we have:

[tex](n_1,p_1) = (0,25)[/tex]

[tex](n_2,p_2) = (1,75)[/tex]

[tex](n_2,p_2) = (3,225)[/tex]

The above shows a geometric progression.

So, we solve using

[tex]p = ab^n[/tex]

In [tex](n_1,p_1) = (0,25)[/tex]

n = 0 and p = 25

Substitute these values in [tex]p = ab^n[/tex]

[tex]25 = ab^0[/tex]

[tex]25 = a*1[/tex]

[tex]25 = a[/tex]

[tex]a = 25[/tex]

In [tex](n_2,p_2) = (1,75)[/tex]

n = 1 and p = 75

Substitute these values in [tex]p = ab^n[/tex]

[tex]75 = ab^1[/tex]

[tex]75 = ab[/tex]

Substitute 25 for a

[tex]75 = 25*b[/tex]

Make b the subject

[tex]b = \frac{75}{25}[/tex]

[tex]b = 3[/tex]

So, we have:

[tex]a = 25[/tex] and [tex]b = 3[/tex]

The equation [tex]p = ab^n[/tex] becomes

[tex]p = 25(3)^n[/tex]

     Equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].

Explicit formula of the Geometric sequence:a, ar, ar², ar³........arⁿ

       There is a common ratio of 'r' in each successive term to the

       previous term.

       Therefore, it's a geometric sequence.

Explicit formula of a geometric sequence is given by,

       [tex]T_n=ar^{n-1}[/tex] (For n ≥ 1)

       Here, [tex]a=[/tex] First term

       [tex]r=[/tex] Common ratio

       [tex]n=[/tex] nth term

Given in the table,

Common ratio (r) of any successive term to the previous term,

        [tex]r=\frac{75}{25}=3[/tex]

First term of the sequence 'a' = 25

Explicit formula of the sequence will be,

[tex]P=25(3)^{n}[/tex] [For n ≥ 0]

       Therefore, equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].

Learn more about the geometric sequence here,

https://brainly.com/question/11385300?referrer=searchResults

60% of ___ =39
I NEED AN ANSWER ASAP PLEASE HELP

Answers

Answer:

The answer is 65

Step-by-step explanation:

A total of 150 tickets were sold for the annual concert. Student tickets were $4 and non-students $8. If the total revenue was $840, how many tickets of each type were sold ?

Answers

Answer:

x = 90

y = 60

Step-by-step explanation:

Let x = student

Let y = non-student

x + y = 150

4x + 8y = 840 <—— Use elimination/addition ethos for both equations

8 (x + y = 150)

-1 (4x + 8y = 840) <—— Let’s eliminate y

8x + 8y = 1200

+ -4x - 8y = -840

—————————————

4x = 360

x = 90

x + y = 150 <— substitute for x from above

90 + y = 150

- 90 = - 90 <— subtract from both sides

y = 60

Is (3,8) a solution to this system of equations? How do you know?
y=7x + 8
y=x + 1

Answers

Answer:

yes it is

Step-by-step explanation:

The point (3,8) is not a solution of system of equation. Explanation given below.

What is the system of equation?

Simultaneous equations are any equations with the same number of unknowns that may be solved at the same time. The system of equations is a simultaneous equation.

Given system of equation,

y=7x + 8

y=x + 1

To find that the point (3,8) is a solution of system of equation,

we substitute the point to both of these equation and verify if that point is satisfying the equation or not.

In the first equation, x=3 and y =8

we get, 8 = 29

which is contradiction.

In the second equation ;

we get, 8 = 4.

Which is also contradiction.

Therefore, the equations do not have the solution (3 , 8).

To learn more about the system of equation;

brainly.com/question/13729904

#SPJ2

The discriminant of a quadratic equation is 0. Which statement is true?

a. there are two real solution

b. there are no real solution

c. there is one real solution ​

Answers

Answer:

A

Step-by-step explanation:

two real solutions! hope this helped!!

1. A storage trunk is 3 feet long and 1 foot wide. The height of the trunk is 2 feet. What is the volume of the trunk?​

Answers

It’s 6 feet I believe

Plz look at the photo for geometry

Answers

Answer: m<C = 45, m<M = 50, m< B = 85.

Step-by-step explanation:

Adjacent angles on a line sum to 180 degrees.

m<C + m<M + m<B = 180. 45 + (8x+10) + (12x+25) = 180. Combine like terms. 80+ 20x =180. Subtract 89 from both sides. 20x = 100. Divide both sides by 20. X = 5. Substitute x back into the angle measures. m<C = 45, m<M = 50, m< B = 85.

brainliest give an explanation to

Answers

Answer:

70 caps, 72 hotdogs, 50 paintings, 8 scouts

Step-by-step explanation:

jack is making a triangle shaped deck,one side is 5ft and the other is 7ft. he is going to make the third length 14ft. is jack correct about his third length?

Answers

Answer:

no

Step-by-step explanation:

In EFG, L is the centroid. If LJ=9 find EL.

Answers

Answer:

LG=LE=LF since it is the centroid. So I think it would also be 9.

TWVU is a trapezoid with midsgment FG find the value of x please help

Answers

Answer:

Find each measure.

1. 

SOLUTION:  

The trapezoid ABCD is an isosceles trapezoid. So,

each pair of base angles is congruent. Therefore,

ANSWER:  

101

2. WT, if ZX = 20 and TY = 15

SOLUTION:  

The trapezoid WXYZ is an isosceles trapezoid. So, the

diagonals are congruent. Therefore, WY = ZX.

WT + TY = ZX

WT + 15 = 20

WT = 5

ANSWER:  

5

COORDINATE GEOMETRY Quadrilateral

ABCD has vertices A(–4, –1), B(–2, 3), C(3, 3),

and D(5, –1).

3. Verify that ABCD is a trapezoid.

SOLUTION:  

First graph the points on a coordinate grid and draw

the trapezoid.

Use the slope formula to find the slope of the sides of

the trapezoid.

The slopes of exactly one pair of opposite sides are

equal. So, they are parallel. Therefore, the

quadrilateral ABCD is a trapezoid.

ANSWER:  

ABCD is a trapezoid.

4. Determine whether ABCD is an isosceles trapezoid.

Explain.

SOLUTION:  

Refer to the graph of the trapezoid.

Use the slope formula to find the slope of the sides of

the quadrilateral.

The slopes of exactly one pair of opposite sides are

equal. So, they are parallel. Therefore, the

quadrilateral ABCD is a trapezoid.

Use the Distance Formula to find the lengths of the

legs of the trapezoid.

The lengths of the legs are equal. Therefore, ABCD

is an isosceles trapezoid.

ANSWER:  

isosceles;

5. GRIDDED REPSONSE In the figure, is the

midsegment of trapezoid TWRV. Determine the value

of x.

SOLUTION:  

By the Trapezoid Midsegment Theorem, the

midsegment of a trapezoid is parallel to each base

and its measure is one half the sum of the lengths of

the bases.

 are the bases and   is the 

midsegment. So,

Solve for x.

16 = 14.8 + x

1.2 = x

ANSWER:  

1.2

CCSS SENSE-MAKING  If ABCD is a kite, find

each measure.

6. AB

SOLUTION

Question 13
Find the angle between the given vectors to the nearest tenth of a
degree.
u= <8,4, v = <9.-9> (5 points)

Answers

Answer:

71.6 degrees

Step-by-step explanation:

Given the vectors

u= <8,4> v = <9.-9> (5 points)

u*v = (8, 4)*(9, -9)

u*v = 8(9)+(4)(-9)

u*v = 72 - 36

u*v = 36

|u| = √8²+4²

|u| = √64+16

|u| = √80

|v| = √9²+9²

|v|  = √81+81

|v|  = √162

Using the formula

u*v = ||u||v| cos theta

36 = √80(√162)cos theta

36 = √12960 cos theta

cos theta = 36/√12960

cos theta = 36/113.8

cos theta = 0.3162

theta = arccos(0.3162)

theta = 71.56 degrees

Hence the angle between the given vectors to the nearest tenth of a

degree is 71.6 degrees

Please help...it due ASAP


Show workings please

Answers

Answer:

36.5      i believe.

Step-by-step explanation:

you divide 986 by 27 and it equals 36.5.

hope you get it right!

if this is wrong then you can report me i guess. ='(

What is the slope of the line that passes through the points (-4,5) and (0, -5)? Choose the BEST answer!

m = -10/4
m = -5/2
m= 0
m = 5/2

Answers

Answer:

m= -5/2

Step-by-step explanation:

formula for slope(m) : ΔY/ΔX (change in y coordinates - change in x coordinates)

change in y coordinates: 5-(-5) = 10

change in x coordinates: -4-(0) = -4

10/-4 = -5/2= -2.5

Solve - 12x ≤ 72 and then plot the solution set on the number line.

Answers

Answer:

(6,0)

Step-by-step explanation:

Used Desmos Scientific calculator.

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