Which correctly explains the number of solutions of the following system of linear
equations?
- 3x + 3y = 12
y = x + 4
А The graphs of the equations are parallel lines because they have the same slope
but different y-intercepts. The system has no solution.
B The graphs of the equations are lines that intersect at one point because the
equations have the same slope but different y-intercepts. The system has
exactly one solution.
с
The graphs of the equations are lines that intersect at one point because the
equations have the same slope and same y-intercept. The system has exactly
one solution.
D The graphs of the equations are the same line because the equations have the
same slope and same y-intercept. The system has infinitely many solutions.

Answers

Answer 1

Answer:

D I dont know if im right though

Step-by-step explanation:

Answer 2

The system of equations are same and graphs of the equations are the same line because the equations have the same slope and same y-intercept. The system has infinitely many solutions.

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

The first equation is -3x + 3y = 12  be equation (1)  

y = x + 4   be equation (2)

Adding 3x on both sides , we get

3y = 3x + 12

Divide by 3 on both sides , we get

y = x + 4   be equation (3)

So , the equation ( 2 ) is same as equation ( 3 )

Now , the slope of the equation is m = 1 and the y intercept is b = 4

Hence , the equations have infinite solutions

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Related Questions

the area of a rectangular lawn is 255 metre square if its length is 15 M find its perimeter​

Answers

Answer:

Step-by-step explanation:

width is 255/15=17

perimeter = 17*2+15*2=64

EZ

Katie is 1.73 m tall. George is 7 cm shorter than Katie. How tall is George?
Give your answer in m​

Answers

Answer:

Katie height  =1.73 m                        

George height =7 cm

formula

1 meter =100 cm                     7/100 =0.007m

     so George height =0.007 m

height of George = Katie height - George height

                            = 1.73 - 0.007 m

                          = 1.723 mHeight of George = 1.723 m

Step-by-step explanation:

Mike collects trading cards. His favorites are baseball and football cards. For every 3 basebali cards he owns, Mike has 5 football cards. What is the ratio of baseball cards to football cards in his collection ?

Answers

Answer:

56 cards

Step-by-step explanation:

If 5 baseball cards multiplied by 8 is 40, then you multiply the 7 football cards by 8 as well.

7x8=56

56 is the answer because if 5 baseball cards multiplied by 8 is 40, then you multiply the 7 football cards by 8 as well.

Please help me ASAP


What is the area of this composite shape?

Answers

Answer: 51 sq in

The explanation are in the photos

Answer: 51 in

Step-by-step explanation:

To do this you need to split the composite shape into two separate shapes; a triangle and a rectangle.

To work out the area of the rectangle you have to do 6x7=42

Then to work out the area of the triangle you have to do 13-7 to get the height of only the triangle h (height)=6

Then to find out the base of the triangle you have to do 6-3 as 6 is the overall length b (base)=3

The formula for the area of the triangle is b×h/2 (base times height divided by 2) which is also displayed as 3x6/2=9 which is the area of the triangle

So to work out the area of the composite shape you have to add the area of the rectangle and the area of the triangle (42+9).

Which of the following statements is a property of parallelograms?

All sides are parallel.
Opposite sides are parallel.
No sides are parallel.
Adjacent sides are parallel

Answers

Answer:

Opposite

Step-by-step explanation:

Opposite sides are parallel is the statement which is a property of parallelogram.

What is Parallelogram?

A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles.

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

There are six important properties of parallelograms to know:

Opposite sides are congruent .

Opposite angels are congruent .

Consecutive angles are supplementary.

If one angle is right, then all angles are right.

The diagonals of a parallelogram bisect each other.

In the given options Opposite sides are parallel is the statement which is a property of parallelograms.

Hence, Opposite sides are parallel is the statement which is a property of parallelogram.

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Melissa earns a 2% commission on the first $750 of sales she makes each week. She earns a 3% commission on the amount of her sales that are greater than $750 each week. Melissa earned $37.50 in commissions last week.


Which equations correctly calculate how much money in dollars, x, Melissa made in sales last week?


Select all that apply.


0.02(750)+0.03(750−x)=37.5


0.03(x−750)=37.5−15


15+0.03x−22.5=37.5


0.02(750)+0.03(x−750)=37.5


15−0.03x+22.5=37.5


0.03(750−x)=37.5−15

Answers

The  equations that are correct are:

0.02(750) + 0.03(x - 750) = 37.5

0.03(750 - x) = 37.5 - 15

Given:

Melissa earns a 2% commission on the first $750 of sales.

She earns a 3% commission on greater than $750 each week.

1. Sales up to $750:

Melissa earns a 2% commission on the first $750 of sales.

=0.02(750)

= 15

2. Sales exceeding $750:

Melissa earns a 3% commission on the amount of sales that exceed $750.

0.03(x - 750) = 37.5 - 15

Combining both equations, we have:

0.02(750) + 0.03(x - 750) = 15 + 37.5 - 15

15 + 0.03x - 22.5 = 37.5

0.03x - 7.5 = 37.5

Adding 7.5 to both sides

0.03x = 45

Dividing both sides by 0.03

x = 1500

Therefore, the correct equations that calculate the amount of money Melissa made in sales last week are:

Equation 1: 0.02(750) + 0.03(x - 750) = 37.5

Equation 2: 0.03(750 - x) = 37.5 - 15

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Which number line shows the solution to the inequality
4x + 5 2 9?
A
HT
-4-2 0 2 4
B
HITH
--4-2 0 2 4
c
HHHHHH
-4-2 0 2 4
HHHHH
-4-2 0 2 4

Answers

The answer is c. So the alb

What is 5.545 as a percent?​

Answers

Answer:

545.5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.

5.545 ×

100

100

= (5.545 × 100) ×

1

100

=

554.5

100

Write in percentage notation: 554.5%

una parcela de 45 m de ancho y 70 m de largo cuesta 78.750.000 ¿Cuánto cuesta otra parcela de terreno de igual calidad de 60 por 50 m?

Answers

Answer:

75000000

Step-by-step explanation:

se multiplica

45×70= 3150 metros

luego multiplica

60×50= 3000 metros

luego se divide

78750000/ 3150 = 25000

y por último multiplica

25000×3000

conclusiones

el metro cuadrado de tierra vale 25000 por lo que los 3000 metros cuadrados que son del terreno de 60x50 estan valorados en 750000000

please help!!! giving brainlest , please don’t joke around.

Answers

Answer:

67.5 mm²

Step-by-step explanation:

Alright, we're going to make 3 different smaller shapes

Shape (triangle)

a=1/2(b)ha=1/2(5(3)= 7.5

Shape (skinny rectangle)

a=l·wa=2·9= 18

Shape (bigger rectangle)

a=l·wa=7·6= 42

Add them all together

42+18+7.5= 67.5

HELP WHAT IS THE SLOPE!!!!!

Answers

In y=mx+b equations, m is the slope. So the slope will be -4/5, I believe.

Answer:

-4/5

Step-by-step explanation:

y=mx+c

m=gradient=-4/5

alguien me ayuda con esto ?​

Answers

Answer:

como vamos a resolverlo si no nos muestra la recta porque en la recta estan los valores

Need help will give you the brainliest

Answers

Answer:

2(9r) and 18r are equivalent

Select the line plot that represents the given ages of students in a youth choir.
14, 13, 14, 15, 17, 12, 15, 16, 14, 16

PLEASEE I NEED HELP ON THIS

Answers

Answer: B

Step-by-step explanation:

How would you make $17.84. (Use the least amount of bills and coins.) *

Answers

One 10$ one 5$ two 1$ three .25$ one .5$ four .4$
Watch the sense of the decimal^

Answer:

$17.85

1 ten

1 five

2 ones

3 quarters

1 nickel

4 pennies

Hope I helped! <3 :)

$24.96

1 twenty

4 ones

3 quarters

2 dimes

1 penny

At a clothing store, 3 T-shirts and 8 hats cost $ 65. The cost of 2 shirts and 2 hats is $ 30. How much does each shirt and hat cost?​

Answers

Answer:

1 shirt=$7.50 and 1 hat=$7.50

Step-by-step explanation:

HELP I NEED IT NOW ITS CLASSWORK 20 points

Answers

Answer:

Ok

3. 12, 3, 6, and 24

4. 60 and 30.

5. 0, 1, and 10.

Step-by-step explanation:

HOPE THIS HELPS!!

help giving brainliest​ b,c,d

Answers

a) x=2
b) x=7
c) m = 15/4

Hope this helps :))

calculate 50% of 200

Answers

Answer:

100

Step-by-step explanation:

hopes this helps

Answer:

100

Step-by-step explanation:

Amelie has 385 muffins that she must package into boxes. Each box must hold 9 muffins. Amelie divides 385 by 9 and gets an answer of 42 R 7.

What is the correct interpretation of R 7 for this situation?

1st one : Amelie can fill at most 42 boxes with 7 muffins each
2nd one :Amelie has 7 muffins left after filling 42 boxes.
3nd one :Amelie has 7 boxes left after filling 42 boxes.
4th one :Amelie can fill 7 more boxes after filling 42 boxes.

Answers

Answer:

2nd one: amelia has 7 muffins left after filling 42 boxes

Step-by-step explanation:

Find the probability of rolling a 5 or 6 on a fair dice

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{6}[/tex] +  [tex]\frac{1}{6}[/tex]

This is because there is only one "5" and one "6" in a dice. Moreover the total number of numbers in a dice are 6 so the denominator will be 6. Then when the word 'or' is present it means that both the probabilities must be added.

P (of rolling a 5 or 6 on a fair dice) = [tex]\frac{1}{6}[/tex] +  [tex]\frac{1}{6}[/tex]

[tex]\frac{2}{6}[/tex] can be simplified further. Both 2 and 6 are factors of 2 so..

[tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

P (of rolling a 5 or 6 on a fair dice) = [tex]\frac{1}{3}[/tex]

Leila needs to buy plastic spoons. Brand A has a box of 25 spoons for $1.97. Brand B has a box of 48 spoons for $2.98. Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer:

The unit price is the price of a single unit.

To find it, you need to find the quotient between the total price and the number of objects you get for that price.

Brand A:

You get 25 spoons for $1.97

Then the unit price is:

unit price of brand A = $1.97/25 = $0.079

Brand B:

You get 48 spoons for $2.98

Then the unit price is:

unit price of brand B: $2.98/48 = $0.062

Here we can see that the unit price for brand B is smaller, then the better buy is brand B.

A-180
B-360
C-270
D-90


PLS HELP ASAP!!

Answers

Answer:

its d

Step-by-step explanation:

세 번째는 당신이 볼 필요가있는 것입니다! D!

Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 7x; R(x) = 9x − 0.001x2

Answers

Given:

The cost function is

[tex]C(x)=7x[/tex]

The revenue function is

[tex]R(x)=9x-0.001x^2[/tex]

To find:

The marginal cost, marginal revenue, and marginal profit functions.

Solution:

We know that,

[tex]Profit=Revenue-Cost[/tex]

[tex]P(x)=R(x)-C(x)[/tex]

[tex]P(x)=9x-0.001x^2-7x[/tex]

[tex]P(x)=2x-0.001x^2[/tex]

The marginal cost, marginal revenue, and marginal profit functions are the derivatives of cost, revenue and profit functions respectively.

Marginal cost function is

[tex]C'(x)=7\dfrac{d}{dx}x[/tex]

[tex]C'(x)=7(1)[/tex]

[tex]C'(x)=7[/tex]

Marginal revenue function is

[tex]R'(x)=9(1)-0.001(2x)[/tex]

[tex]R'(x)=9-0.002x[/tex]

Marginal profit function is

[tex]P'(x)=2(1)-0.001(2x)[/tex]

[tex]P'(x)=2-0.002x[/tex]

Therefore, the marginal cost, marginal revenue, and marginal profit functions are [tex]C'(x)=7[/tex], [tex]R'(x)=9-0.002x[/tex] and [tex]P'(x)=2-0.002x[/tex] respectively.

Can someone help me with this umm math thingy

Answers

Answer:

1. The similar triangles are ΔXYZ and ΔPQR

The triangles are similar by the AA rule of similarity

2. The similar triangles ΔXYZ and ΔPQR cannot be assumed as being congruent because more information are required about the length of a pair of corresponding sides of both triangles

3. x = 17.5

4. x = 20

Step-by-step explanation:

1. The angles of triangle ΔXYZ are;

∠X  = 32°, ∠Y = 84° and ∠Z = 180° - (84° + 32°) = 64°

The angles of triangle ΔPQR are;

∠P  = 64°, ∠R = 32° and ∠Q = 180° - (64° + 32°) = 84°

The angles of triangle ΔABC are;

∠A  = 64°, ∠C = 92° and ∠B = 180 - (92 + 64) = 24°

Therefore, the two similar triangles are ΔXYZ and ΔPQR

The triangles are similar based on Angle-Angle (AA) rule of similarity

2. The similar triangles ΔXYZ and ΔPQR cannot be assumed as being congruent because more information are required about the length of a pair of corresponding sides of both triangles

3. We have by corresponding triangles formed by the tree and Enzo as follows;

5 ft./(6 ft.)= x/(21 ft.)

∴ x = 21 ft.× (5 ft./6 ft.) = 17.5 ft.

x = 17.5 feet

4. By corresponding triangles, we have;

(35 ft.)/(40.5 ft.+ 54 ft.) = x ft./(54 ft.)

∴ x ft. = (54 ft.) × (35 ft.)/(40.5 ft.+ 54 ft.) = 54 ft. × (35 ft.)/(94.5 ft.) = 20 ft.

x ft. = 20 ft.

∴ x = 20

I'll mark brainliest pls help!
im stuppid

Answers

Answer:

c

Step-by-step explanation:

34 + 35!!
Write how you got it lol

Answers

Answer: 69

Step-by-step explanation:

First, you add the 34 with the 35.

You can check your answer by subtracting the answer 69 with 35 and if the answer comes out as 34 it is correct.

Answer: 69 lol

Step-by-step explanation: i got it by adding 34 + 35 lol

The variable y varies directly as x and inversely as z. When x = 4 and z= 14, y=2.
Write a combined variation equation and find y when x = 6 and z= 3.

Answers

Given:

The variable y varies directly as x and inversely as z. When x = 4 and z= 14, y=2.

To find:

The combined variation equation and find y when x = 6 and z= 3.

Solution:

The variable y varies directly as x and inversely as z.

[tex]y\propto \dfrac{x}{z}[/tex]

[tex]y=k\dfrac{x}{z}[/tex]           ...(i)

Where, k is the constant of proportionality.

Putting x=4, y=2 and z=14, we get

[tex]2=k\dfrac{4}{14}[/tex]

[tex]2=k\dfrac{2}{7}[/tex]

[tex]2\times \dfrac{7}{2}=k\dfrac{2}{7}\times \dfrac{7}{2}[/tex]

[tex]7=k[/tex]

Putting k=7 in (i), we get

[tex]y=7\dfrac{x}{z}[/tex]

Putting x=6 and z=3, we get

[tex]y=7\times \dfrac{6}{3}[/tex]

[tex]y=7\times 2[/tex]

[tex]y=14[/tex]

Therefore, the required equation is [tex]y=7\dfrac{x}{z}[/tex] and the value of y is 14 when x = 6 and z= 3.

HELP ASAP its due today
also please include the work if possible

Answers

use photomath. it shows the work too

If a call started at 7:53 and ends at 8:25.
How long did the call last?

Answers

Answer:

33 minutes

Step-by-step explanation:

33min

Answer: The answer to this math question about how long did the call has lasted from 7:53 PM to 8:25 PM is the call has been lasted long is 32 minutes ago.

Step-by-step explanation: Here is a brief step-by-step explanation in order to find how long did the call has lasted from 7:53 PM to 8:25 PM:

So, 25 minutes from the 8 hours to 8:25 PM and then, 53 minutes to 60 minutes is 7:25 PM + 7:32 PM.

I hope that my briefly short given answer with my briefly short given a step-by-step explanation in order to find how long did the call has lasted from 7:53 PM to 8:25 PM, please mark me as Brainliest, take care, always be safe, and have a great rest of the holiday winter break, Merry Christmas and a happy new year! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

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