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)

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

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Step-by-step explanation:

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)

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

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]

Answer:

54%

Step-by-step explanation:

Answer:

74%

Step-by-step explanation:

Trust me

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.

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].

Answer:

it aint they are both the same

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:

Answer:

3:5

Step-by-step explanation.

The first half: 9

The second half is: 15

9:15 =3:5

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

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.

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

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.

Answer:

36cm

IM TYPEING RANDOM WORDS CUZ IT SAYS ITS TOO SHORTTTTTTTTTTT

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

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

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.

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

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

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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.

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

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Answer: 4<x≤8

Step-by-step explanation:

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

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