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.

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.

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

Answer:

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

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

Answer:

Step-by-step explanation:

width is 255/15=17

perimeter = 17*2+15*2=64

EZ

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

Step-by-step explanation:

Answer:

1 shirt=$7.50 and 1 hat=$7.50

Step-by-step explanation:

Answer:

-4/5

Step-by-step explanation:

y=mx+c

m=gradient=-4/5

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%

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]

Answer:

100

Step-by-step explanation:

hopes this helps

Answer:

100

Step-by-step explanation:

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

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.

Answer:

its d

Step-by-step explanation:

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.

Answer:

Ok

3. 12, 3, 6, and 24

4. 60 and 30.

5. 0, 1, and 10.

Step-by-step explanation:

HOPE THIS HELPS!!

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).

Answer:

Opposite

Step-by-step explanation:

Opposite sides are parallel is the statement which is a property of 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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Answer:

2(9r) and 18r are equivalent

Answer:

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

Step-by-step explanation:

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.

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

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.

Answer: B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

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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Answer:

67.5 mm²

Step-by-step explanation:

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

Shape (triangle)

Shape (skinny rectangle)

Shape (bigger rectangle)

Add them all together

42+18+7.5= 67.5