George solved the following system of equations using substitution.
y = 4.3 – 21
12x – 3y = 63

He decided there is no solution. After the following steps:

y= (4x – 21)
12x - 3(4x – 21) = 63
12:- 12.c + 63 = 63
63 = 63

Is George correct in his conclusion? If not choose the correct solution below. If he is correct, select that choice.

A) George is correct with no solution.

B) He is not right. There are infinitely many solutions.

C) He is not right. The solution is (63,63)

George Solved The Following System Of Equations Using Substitution.y = 4.3 2112x 3y = 63He Decided There

Answers

Answer 1

Answer:

B

Step-by-step explanation:

-4x + y = -21

12x -3y = 63

-4/12 = -1/3

1/-3 = -1/3

-21/63 = -1/3

If we graph the two lines, we can discover that are the same, so they have infinite points in common


Related Questions

Ursula and Velda live 4 km apart. They leave their homes at the same time, walking towards each other. If Ursula walks at a rate of 400 m/h, and Velda walks at a rate of 600 m/h, how far apart are they 15 minutes before they meet (in m)?

Answers

Answer: 250 m

Step-by-step explanation:

Given

Distance between Ursula and Velda house is 4 km or 4000 m

Ursula walks at the rate of [tex]400\ m/h\ or\ \frac{20}{3}\ m/min[/tex]

Velda walks at the rate of [tex]600\ m/h\ or\ 10\ m/min[/tex]

Time taken by them to cover 4000 m is

[tex]\Rightarrow \dfrac{4000}{400+600}=4\ h\ or\ 240\ min[/tex]

Distance covered by them 15 min before they meet

Ursula [tex]=\frac{20}{3}\times 225=1500\ m[/tex]

Velda [tex]=10\times 225=2250\ m[/tex]

The total length covered by them is [tex]=1500+2250=3750\ m[/tex]

They are [tex]4000-3750=250\ m[/tex] apart before they meet

Help please with geometry. Match the reasons with the statements.

Answers

Answer:

in the first diagram

there is a statement that if 2 lines are cut by a traversal then the corresponding angles are equal

in this the 2 angles are corresponding and equal that is why they are parallel

in the second pic

I can't understand what to do if you tell me then I'll answer in comments

what kpop dances do you recommend to help you , lose weight?
My sister was asking but i didnt know how to answer her..

Answers

Answer:Wonder Girls-Like This. Perfect workout, especially for your inner thighs! ...

Sistar-Loving You. Another great leg workout. ...

Sistar-Touch My Body. Very fun and lighthearted. ...

Sistar19-Ma Boy. Same. ...

Secret-Madonna. I love this dance, it's a classic on my workout routine. ...

Secret-Love Is Move. ...

Hyuna-Bubble Pop. ...

Step-by-step explanation:


A rectangular rug measures 9 feet by 6 feet. The rug has two
nonoverlapping yellow circles that each have a diameter of 3 feet. The
part of the rug not covered by the circles is blue.

What percent of the rug is blue? HELP HELP

DO NOT ANSWER “ DOWNLOAD HERE” STOP DOING THAT I ACTUALLY NEED HELP

Answers

Answer:

54%

Step-by-step explanation:

Answer:

74%

Step-by-step explanation:

Trust me

hey you guys if anyone needs help with Middle school work message me :)

Answers

ljhsbnrljSBluhjBeupijhibSEUJLOfgSEJGLFbgjhBDgn KSEGhjgfsjEBNfsEfiyuSGHEBFJS EfjhSEGfjlsHEK fEijrufgyhubgerfjhk

can somebody help!! fastest and correct answer gets brainly!

Answers

Answer and Step-by-step explanation:

We know that the triangle got dilated by a scale factor of 4. This means that the sides are multiplied by 4.

So 6 becomes 24, and 8 becomes 32.

Now, we find the area of the triangle.

24 × 32 = 768

768 ÷ 2 = 384.

The answer is D. 384 square cm.

The answer IS NOT B. 96 square cm, because you don't multiply the area of the triangle before the dilation. The dilation occurs first, and then you have to find the area.

#teamtrees #PAW (Plant And Water)

Explain how 6-^2 is different than 6^2

Answers

Answer:

it aint they are both the same

I think you meant 6^-2 vs 6^2. The negative exponent indicates you need to use the reciprocal number raised to the power, in this case 6^-2 = 1/6^2 = 1/36 while 6^2 = 36

A seagull is flying 11 meters above the water. Directly below the bird, a fish is swimming 31 meters under the surface. What is the total difference in distance between the bird and the fish? A 11 B 20 C 31 D 42

Answers

Answer: D. 42 meters

Step-by-step explanation:

In calculating the distance between the seagull and the fish, you need to add their distances from sea level as this shows their distance from the sea and then from each other:

Seagull is 11 meters above the water

Fish is 31 meters below the water

Total difference

= Fish + Seagull

= 31 + 11

= 42 meters

is it weird that im scared of my boy bsf

Answers

Answer:

No, not really.

Step-by-step explanation:

It kinda depends on what your best friend does. Do they act suspicious around you? Feel free to talk to me if you need help.

Okay brain block alert what is 3 1/3 divided by 4 3/4

Answers

Answer:

31/3÷43/4

=31×4/43×3

=124/129

Answer:

40/57

Step-by-step explanation:

keep change flip.

change the mixed fractions to improper by multiplying the integer by the denominator and then add the numerator.

should give you an answer of 10/3 and 19/4

which when put into the fraction-division rule equals 40/57

14. What is the perimeter of the rectangle, in centimeters (cm)?
(Perimeter = 2L + 2W).
15 cm
3 cm
A) 18 cm
B) 45 cm
C) 36 cm
OD) 270 cm

Answers

The answer is c
P=2*15+2*3
P=30+6
P=36

Jennie makes quilts. She can make 7 quilts with 21 yards of fabric. How many yards of fabric does she need to make 12 quilts? (Think setting up a proportion!!)
will give B

Answers

Answer:

36 yards of fabric

Step-by-step explanation:

Set up the proportion

quilts/yards = quilts/yards

Let x = no. of yards to make 12 quilts

x/12 = 21/7 = 3

x = 12(3) = 36 yards of fabric

Question 2 of 10
If data set A has a larger standard deviation than data set B, data set A is
more spread out than data set B.
A. True
B. False
SUB

Answers

It is true that if data set A has a larger standard deviation than data set B, data set A is more spread out than data set B.

How to determine the true statement?

The standard deviation is a measure of spread.

And the more the standard deviation, the more the spread

This means that if the dataset A has a larger standard deviation than the dataset B, then the dataset A is more spread out than B

Hence, the given statement is true

Read more about standard deviation at:

https://brainly.com/question/15858152

#SPJ1

If h:k = 2:5, x:y=3:4 and 2h+x:k+2y = 1:2, find the ratio h-x: k-y.​

Answers

Given:

[tex]h:k=2:5,x:y=3:4,2h+x:k+2y=1:2[/tex]

To find:

[tex]h-x:k-y[/tex]

Solution:

We have, [tex]h:k=2:5[/tex] and [tex]x:y=3:4[/tex].

Let the values of h and k are 2a and 5a respectively.

Let the values of x and y are 3b and 4b respectively.

We have,

[tex]2h+x:k+2y=1:2[/tex]

It can be written as

[tex]\dfrac{2h+x}{k+2y}=\dfrac{1}{2}[/tex]

[tex]\dfrac{2(2a)+(3b)}{5a+2(4b)}=\dfrac{1}{2}[/tex]

[tex]\dfrac{4a+3b}{5a+8b}=\dfrac{1}{2}[/tex]

[tex]2(4a+3b)=1(5a+8b)[/tex]

On further simplification, we get

[tex]8a+6b=5a+8b[/tex]

[tex]8a-5a=8b-6b[/tex]

[tex]3a=2b[/tex]

[tex]a=\dfrac{2b}{3}[/tex]

Now,

[tex]h-x:k-y=\dfrac{h-x}{k-y}[/tex]

[tex]h-x:k-y=\dfrac{2-3b}{5a-4b}[/tex]

[tex]h-x:k-y=\dfrac{2\times \dfrac{2b}{3}-3b}{5\times \dfrac{2b}{3}-4b}[/tex]

[tex]h-x:k-y=\dfrac{\dfrac{4b}{3}-3b}{\dfrac{10b}{3}-4b}[/tex]

On further simplification, we get

[tex]h-x:k-y=\dfrac{\dfrac{4b-9b}{3}}{\dfrac{10b-12b}{3}}[/tex]

[tex]h-x:k-y=\dfrac{-5b}{-2b}[/tex]

[tex]h-x:k-y=\dfrac{5}{2}[/tex]

[tex]h-x:k-y=5:2[/tex]

Therefore, the ratio [tex]h-x:k-y[/tex] is [tex]5:2[/tex].

Which is the equation of the line in slope-intercept form?
A) y = -3x - 2
B) y = 3x + 2
C) y=-1/3x+2
D) y= 1/3x-2

Answers

Answer:

A). y = -3x - 2

Step-by-step explanation:

Since the line is going downwards from left to right, we know that it is a negative line.

Slope equals rise/run. If you take any two points, it goes down 3 and 1 right. You don't put 1 so it's simply just -3x.

The line crosses the y axis at -2.

YALL HELP!!! it’s about reflection across the x axis

Answers

It might be A but I’m not totally sure

Total surface area??

Answers

Answer:

128

Step-by-step explanation:

couculator mhm thats all

Answer:

[tex]160cm^{2}[/tex]

Step-by-step explanation:

Surface Area = [tex]2(wl+hl+hw)[/tex]

w = 4

l = 8

h = 4

[tex]2((4*8)+(4*8)+(4*4))[/tex]

[tex]2(32+32+16)[/tex]

[tex]A = 160[/tex]

I really need help with the radius,diameter and area off circles and halfcircles

Answers

Answer:

Radius refers to the distance between the center of the circle to any point of the circle

Diameter refers to the distance between any two points on the circle passing through the center of circle, it is also equal to radiusx2

Area of circle = πr², where π is a constant (≈3.14159), r is the radius

Halfcircles is basically half of the circle. It has the same radius and diameter as it's full circle but the area of the halfcircle is equal to half of the area of the full circle.

Step-by-step explanation:

Solve for x.
1)
x + 52
75°
60°

Answers

Answer:

gsjxvsHGVSHGCZJ

Step-by-step explanation:

like you did to me

Answer:

x = -7

Step-by-step explanation:

The interior angles of a triangle should all add up to 180 degrees.

So, we set the equation up as:

(x + 52) + 75 + 60 = 180

Then solve for x:

(x + 52) + 75 + 60 = 180

(x + 52) + 135 = 180

x + 52 = 180 - 135

x = 45 - 52

x = -7

The sum of the interior angles of a polygon is 14 × 180 . Work out the number of sides of the polygon.

Answers

Answer:

Number of sides of the polygon = 16

Step-by-step explanation:

Sum of the interior angle of a polygon = (n - 2) × 180°

Here, n = Number of sides of the polygon

If sum of the interior angles = 14 × 180°

Therefore, (n - 2) × 180° = 14 × 180°

(n - 2) = 14

n = 14 + 2

n = 16

Number of sides of the polygon = 16

4 1/3ft 12 ft 9 ft what is the volume​

Answers

Just multiply all them together for volume, 468 ft ^3

Please! No one got the right answer here and i need it
In their last game, the New England
Patriots scored 9 points in the first half. In
the second half, they scored twice the
amount of points in the first half. What is
the ratio of points scored in the second half
to the total number of points scored?

Answers

Answer:

3:5

Step-by-step explanation.

The first half: 9

The second half is: 15

9:15 =3:5

A 12.5-foot ladder is leaning against the side of a house. If the ladder is resting 12 feet off the ground, how far is the ladder from the house?

A. 2 feet

B. 3.5 feet

C. 6.25 feet

D. 7 feet

Answers

Answer:

B. 3.5 feet

Step-by-step explanation:

The part leaning against the wall is the hypotenuse while the height of the ladder off the ground is the opposite and the distance of the ladder from the house is the adjacent side.

Given the following data;

Hypotenuse = 12.5 ft

Opposite = 12 ft

To find the adjacent side, we would use the Pythagorean theorem;

Hypotenuse² = opposite² + adjacent²

Substituting into the formula, we have;

12.5² = 12² + adjacent²

156.25 = 144 + adjacent²

Adjacent² = 156.25 - 144

Adjacent² = 12.25

Taking the square root of both sides, we have;

Adjacent = 3.5 feet.

Therefore, the distance of the ladder from the house is 3.5 feet.

Work out the area of the shaded shape. 4cm 3cm 11cm 4cm

Answers

Answer:

36cm

IM TYPEING RANDOM WORDS CUZ IT SAYS ITS TOO SHORTTTTTTTTTTT

Area: Four times three times eleven times four is 528.

find the sine and cosine of a 60° angle

find the sine and cosine of a 30° angle

Answers

Answer:

Using the 30-60-90 triangle to find sine and cosine

sin(60 degrees) = 2√3 4.

sin(60 degrees) = √3 2.

sin(30 degrees) = 2 4.

sin(30 degrees) = 1 2.

cos(60 degrees) = 2 4.

cos(60 degrees) = 1 2.

cos(30 degrees) = 2√3 4.

cos(30 degrees) = √3 2.

Help me out , I’ll appreciate it !

Answers

Answer:

(a) Infinite

(b) 6 (because a to z contains 26 letters so we can only take 26 letters or less otherwise the letter can be repeated so we have to take the num which is coming in table of 4 so 24then we can make 6passwords)

THANK you

If you helped with my answer pls tag me brianliest....

Reduza os termos semelhantes e classifique em binômio trinômio ou monômio

a.7xy²+5x³+9y²x -(9x³)+y²x+2x³
b.4xy²-7x²y-xy²+2xy²-5x²y
c.13ab+5a-(4ab-6b)+3a-2b
urgente por favor preciso para hoje te as 15:00


Answers

Answer:

a. 17xy^2 + -2x^3 es un binomio

Step-by-step explanation:

Tenemos que sumar los terminos que son iguales, pero las letras se ponen en orden alphabetica 9y^2x es igual que 9xy^2

a. 7xy^2 + 9xy^2 + xy^2 + 5x^3 + 2x^3 - 9x^3

suma los que tienen las mismas letras 17xy^2 + -2x^3 es un binomio como tiene dos termos

Las demas son igual

Dave goes into a cafe and buys 2 cups of coffee and a piece of cake.
Each
cup of coffee costs £2.75
The cake costs £2.90
Dave pays with a £10 note.
He thinks he will get more than £1.50 in change.
Is Dave correct?
You must show how you get your answer.

Answers

Dave is correct you add the price of the 2 cups of coffee and piece of cake together 2.75+2.75+2.90= £8.40 then you subtract that from £10 so £10-£8.40= £1.60 which is more then £1.50

The Girl Scouts were selling cookies outside the local grocery store. Each box sold for $4.50.
Which equation could be used to complete the table?
Boxes
Price
1
2
3
4
10
15
18
4.50
9.00
13.50
18.00
45.00
67.50
?
A
y - 4.50 = 18
B
4.50y = 18
С
4.50 x 18 = y
18y = 4.50
I’m

Answers

If your needing to find the amount just multiply the number of boxes by it’s price. So the answers C.

x is greater than 4 and less than or equal to 8

Answers

Answer: 4<x≤8

Step-by-step explanation:

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