Use the substitution method to find the solution for the system of equations. Write the answer as an ordered pair. 3x+2y=23 (1/2)-y=4

Answers

Answer 1

Answer:

x = 7.75       y = -0.125

Step-by-step explanation:

3x + 2y = 23                         1/2x - y = 4

2(1/2x - y) = (4)2                   1x - 2y = 8

    3x + 2y = 23

+   1x - 2y = 8

4x = 31

x = 7.75

3(7.75) + 2y = 23

23.25 + 2y = 23

2y = -0.25

y = -0.125


Related Questions

Algebra
factorize
a4 - 3a2b2 + b4​

Answers

Answer:

The term a⁴-3a²b²+b⁴ can't be factorised

The supply station donated 115 notebooks to mrs.Michale to give to her class there are 28 students in her class mrs.Michale gives each student the same number of notebooks how many notebooks does she give each student

Answers

Answer:

4.107

Step-by-step explanation:

115/28=4.107

Plz help........
1. -1114 ÷ ( - 117)

2. -212 ÷ ( -123)

3. - 512 ÷ 58

4. 27 ÷ ( -79)

Answers

Answer:

1. 1114/117        2. 212/123       3. -256/29       4. -27/79

Step-by-step explanation:

1. 1114/117

2. 212/123

3. -256/29

4. -27/79

the area of a trapezoid is 21 inches, one of its bases is 8 inches and its height is 3 inches. What is the length of the last base?

Answers

Answer:

6 inches

Step-by-step explanation:

A=b1+b2/2*h

Fill in the equation with what we know

21=8+x/2*3

Isolate x

Quick steps: 21/3=7*2=14-8=6

x=6

For the parabola y = (x+14)^2 -4, The value of the y coordinate of the vertex is?

Answers

Answer:

-4

Step-by-step explanation:

y = (x+14)^2 -4

The equation is in vertex form

y = a(x-h)^2 + k  where (h,k) is the vertex

The y coordinate of the vertex is k = -4

Answer:

y - coordinate = - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = (x + 14)² - 4 ← is in vertex form

with vertex = (- 14, - 4 )

The y- coordinate of the vertex = - 4

What is the constant of proportionality in the equation y=2.5x

Answers

Answer:

2.5

Step-by-step explanation:

how many solutions does the equation below have? 3x-8=-2x+9/3

Answers

Answer:

1

Step-by-step explanation:

[tex]\\ \sf\longmapsto 3x-8=-2x+\dfrac{9}{3}[/tex]

[tex]\\ \sf\longmapsto 3x-8=-2x+3[/tex]

[tex]\\ \sf\longmapsto 3x+2x=3+8[/tex]

[tex]\\ \sf\longmapsto 5x=11[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{11}{5}[/tex]

Please tell me whats the number?

Answers

Answer:

5/6

Step-by-step explanation:

15/18

Divide the top and bottom by 3

15/3 = 5

18/3 = 6

5/6

[tex]\frac{5}{6}[/tex]

I have simplified:)

To simplify, you have to divide the numerator & denominator by 3

BTW,I am also an Acellus student!:)

If an = 2n - 8, then which one is not a term of the sequence? ( an means nth term)
a) 13
b) 16
c) 204
d) 198

Answers

Answer:

13 is answer

Step-by-step explanation:

hope it helps

Which congruence theorem can be used to prove
ABR = RCA?

Answers

Answer: The HL Theorem can be used to prove ABR ≅ RCA because both triangles share the same hypotenuse and a leg. The HL theorem states that If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Sum of zeroes of polynomial 2x²-x-3 is ? Full solved answers ✔ No spam ❌​

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 , then the sum of the roots is

α + β = - [tex]\frac{b}{a}[/tex]

Here 2x² - x - 3 = 0 is in standard form

with a = 2 and b = - 1 , then

sum of roots = - [tex]\frac{-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]

Please help, I’ll give brainly!!!

Answers

Answer:

9.

3 ( 1 - 3x ) = 2 (-4x + 7)

3 - 9x = -8x +14

-9x +8x  = 14 - 3

-x = 11

x = -11

10.

-10 + x + 4 - 5 = 7x - 5

-10 +x -1 = 7x - 5

-11 + x = 7x - 5

-11 + 5 = 7x -x

-6 = 6x

x = -6/6

x = -1

11.

-8n + 4 ( 1 + 5n ) = -6n -14

-8n + 4 + 20n = -6n -14

12n +4 = -6n -14

12n  + 6n = -14 -4

18n = -18

n = -18/18

n = -1

12.

-6n - 20 = -2n + 4 ( 1 - 3n)

-6n - 20 = -2n + 4 - 12n

-6n - 20 = -14n +4

-20 -4 = -14n +6n

-24 = 8n

n = -24/8

n = -3

13.

4n - 40 = 7 (-2n +2)

4n - 40 =  -14n + 14

4n +14n = 14 +40

18n = 54

n = 54 / 18

n = 3

14.

7(5a - 4) -1 = 14 - 8a

35a -28 -1 =  14 - 8a

35a -29 = 14 - 8a

35a +8a = 14 +29

43a = 43

a = 43/43

a = 1

15.

-31 - 4x = -5 - 5 ( 1 + 5x)

-31 - 4x = -5  -5 - 25x

-31 - 4x = -10 -25x

-4x +25x = -10 +31

21x = 21

x = 21/21

x = 1

16.

38 +7k = 8 (k +4)

38 +7k = 8k + 32

38 - 32 = 8k -7k

k = 6

use the ratio of a 45-45-90 triangle to solve for the variables​

Answers

Answer:

1:1:√ 2

Step-by-step explanation:

Answer:

u = 14

v = 14

Step-by-step explanation:

since both angles around the 90 degree angle are the same, also the sides need to be of equal length. v = u

so, we can use Pythagoras

(14×sqrt(2))² = u² + u² = 2u²

196×2 = 2u²

196 = u²

u = 14 = v

In the picture below, which lines are lines of symmetry for the figure?

A. 1 and 3
B. 2 and 4
C. 1, 2, and 3
D. none

Answers

Answer:

None

Step-by-step explanation:

No lines can be folded over to match up with the opposite side

Find the square root of 167281 by division method

Answers

Answer:

square root of 167281 is 409

Here's the Step-by-step explanation using division:

The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.

Answers

GỌI CẠNHngắn: x, x>0DÀI: X+  30ĐƯỜNG CHÉO [tex]\sqrt{ x^{2} +(x+30)^{2} }[/tex] [tex]\sqrt{ x^{2} +(x+30)^{2} }[/tex]   =X+60[tex]x^{2} +(x+30)^{2}[/tex]=  [tex](x+60)^{2}[/tex] [tex]x^{2} =(x+60)^{2} -(x+30)^{2}[/tex][tex]x^{2} =(x+60+x+30) * (x+60-x-30)[/tex][tex]x^{2} = (2x+90)*30[/tex][tex]x^{2} = 60x+2700[/tex][tex]\left \{ {{x_{1} =90} \atop {x_{2} _=(-30)}} \right.[/tex]suy rax =9 0nênngắn =90mdài=120mĐƯỜNG CHÉO: [tex]\sqrt{90^{2} +120^{2} }[/tex]=150

A hollow metal sphere has an external diameter of 12 cm and a thickness of 2 cm. (i) Given that the mass of 1 cm of the metal is 5.4 g, find the mass of the hollow sphere in kg. (ii) The hollow sphere is melted and recast to form a solid sphere. Find the radius of the solid sphere.​

Answers

Answer:

(i) 3.438159 kg

(ii) 5.336803297 cm

Step-by-step explanation:

the external diameter = 12 cm, => the radius = 6 cm.

the internal diameter = 12 - 2×2 = 8 cm, radius = 4 cm.

I assume the mass of 1 cm³ (not cm) is 5.4 g (very, very light metal).

the material is in the volume of external sphere minus internal (empty) sphere.

the volume of a sphere is

4/3 × pi×r³

V-e = 4/3 × pi×6³ = 4/3 × pi×216 = 4×pi×72 = 904.7786842 cm³

V-i = 4/3 × pi×4³ = 4/3 × pi×64 = 268.0825731 cm³

V-e - V-i = 4/3 × pi×(216-64) = 4/3 × pi×152 = 636.6961111 cm³

1cm³ = 5.4g

636.6961111 cm³ = 5.4×636.6961111 = 3438.159g = 3.438159 kg

for (ii) we need to work with the volume of the material and calculate backwards to find the radius of the sphere with the full volume of that size.

636.6961111 = 4/3 × pi×r³ = 4/3 × pi×152

152 = r³

r = 5.336803297

Find the area of sector TOP in (O using the given information. Leave your
answer in terms of π.
13. r = 5 m, m = 90 degrees

Answers

Answer:

Pls give me the answers as soon as possible and make sure that the answers are correct.

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Answers

Answer: Choice B

Open circle at 3. Shading to the right

========================================================

Work Shown:

3(8 - 4x) < 6(x - 5)

24 - 12x < 6x - 30

24 + 30 < 6x + 12x

54 < 18x

18x > 54

x > 54/18

x > 3

We use an open circle at 3 to indicate we don't include this endpoint as part of the solution. The solution set is everything larger than 3, so we shade to the right of this open circle.

Calculate : y
y = 20
y = 10
y = 15
y = 144​
choose the only correct answer

Answers

Answer : y = 20 ( Use Pytago’ Theorem )

Which expression is equivalent to 2x2x2x2x2

Answers

Answer:

2^5

Step-by-step explanation:

2x2x2x2x2

Count the number of 2's, that is the power

The base is 2

2^5

Answer:

2 to the power of 5

Step-by-step explanation:

there are 5 2's being multiplied by each other and that can be shortened to the power of 5.

Look at the graph shown.


Which equation best represents the line? (4 points)


y = 1 over 3.x − 1

y = 3x − 1

y = −x + 1 over 3.

y = 3x + 1

Answers

Answer:

y=3x - 1

Step-by-step explanation:

we are going to base the answer off of the y=mx+b form where m represents slope and b represents the y-intercept.

we know that b must be -1 because the line hits the y-axis when y is -1

this now leaves us with either the first or second choice

we then choose two points to find the slope. I am using (0,-1) and (1,2). If you count the boxes, the y-value increases by 3 as the x-value increases by 1. So the slope is 3/1 or 3.

so then we know the answer is y=3x-1

hope this helps

plssssss help me answer this quickly

Answers

Answer:

Step-by-step explanation:

Find the slope of the line that contains (-1, 9) and (9, 9).

Answers

Step-by-step explanation:

using the slope formula, we can see that the slope is 0

PLEASE HELP PLEASE!!!! AB←→||CD←→ . Find the measure of ∠BFG.

Answers

Answer:

BFG = 135

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel

3x+15 = 5x-5

Subtract 3x from each side

3x+15-3x = 5x-5-3x

15 = 2x-5

Add 5 to each side

15+5 = 2x-5+5

20 = 2x

Divide by 2

20/2 = 2x/2

10 =x

We know that AFG + BFG = 180 since it forms a straight line

AFG + BFG = 180

3x+15 + BFG = 180

3(10) + 15  + BFG = 180

30+15 + BFG = 180

45 + BFG = 180

BFG = 180-45

BFG = 135

Answer:

<BFG = 135

Step-by-step explanation:

They are the same angle, so they will be equal to eachother.

3x + 15 = 5x - 5

-3x          -3x

----------------------

     15   = 2x - 5

     +5           +5

-----------------------

     20 = 2x

     -----   ----

       2      2

      10 = x

3(10) + 15

30 + 15

   45

180-45 = 135

The answer is 135.

Which absolute value equation represents the graph A) f(x)=-|3x|-5 B) f(x)=3|x-5| C)f(x)=5|x|-3 D)f(x)=|5x-3|

Answers

Answer:

The choose B. f(x)=3|x-5|

I hope I helped you^_^

Calcula el valor de “x” en:
5(3x – 4) – 17 = 5(x + 8) – 17

Answers

Answer: x = 6

Step-by-step explanation:

Sume 17 a ambos lados

5(3x-4)-17 + 17=5(x+8)-17 +17

Simplifica

5(3x-4)=5(x+8)

Expandir 5(3x -4) : 15x - 20

Expandir 5(x+8) : 5x +40

15x - 20 = 5x +40

Sume 20 a ambos lados

15x - 20 + 20 = 5x +40 +20

Simplifica

15x = 5x +60

Restar 5 de ambos lados

15x - 5x = 5x + 60 - 5x

Simplifica

10x = 60

Divide ambos lados entre 10

10x/10 = 60/10

Simplifica

x = 6

Can someone plz help with this problem

Answers

Answer:

I think the answer is 2

Step-by-step explanation:

Between 30 and 60 is double b so just divide 4 by 2.

Describe the effort of translating tringle abc to tringle a'b'c

Answers

Answer:

Each x-coordinate increased by 6 and each y-coordinate decreased by 3.

Step-by-step explanation:

Let us use the coordinates of a and a' as an example

a = (-3, 5) a' = (3, 2)

So -3 is for the x-axis in coordinate a and 3 is for the x axis in coordinate a'

Then -3 + 6 = 3 ( This is the x coordinate for a' )

So 5 is for the y -axis in coordinate a and 2 is for the y axis in coordinate a'

Then 5 - 3 = 2 ( This is the y coordinate for a' )

HOPE THIS HELPED

What is the simplest form of 20 over 315?

Answers

Answer:

4/63

Step-by-step explanation:

20/315 = (20÷5)/(315÷5)

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