what does the following expression mean?
7!

A. 7+6+5+4+3+2+1
B. 7·6·5·4·3·2·1

Answer:

The three lines that are parallel to the Given line are :

2x + 3y = 2

9y = -6x + 15

3y = -2x + 12

Step-by-step explanation:

The exact question is as follows :

Given - The equation of a line is 2x + 3y = 4.

To find - Select three lines that are parallel to the given line.

A) 2x + 3y = 2

B) 2x + 5y = 15

C) 9y = -6x + 15

D) 3y = -2x + 12

E) 3x - 2y = 15

Solution -

We know that,

If the slopes are the same and the y-intercepts are different, the lines are parallel.

Given that,

The given line is 2x + 3y = 4

⇒3y = -2x + 4

⇒y = -(2/3)x + (4/3)

So,

Slope = -(2/3)

y-intercept = (4/3)

Now,

A.)

2x + 3y = 2

⇒3y =  - 2x + 2

⇒y = -(2/3) + (2/3)

So,

Slope = -(2/3)

y-intercept = (2/3)

By Comparing with the given line's slope and y-intercept

We can see that

slope is same but y-intercept is different

So,

2x + 3y = 2 is parallel to the given line.

Now,

B.)

2x + 5y = 15

⇒5y =  - 2x + 15

⇒y = -(2/5) + (15/5)

So,

Slope = -(2/5)

y-intercept = 3

By Comparing with the given line's slope and y-intercept

We can see that slope is different

So,

2x + 5y = 15 is not parallel to the given line.

C)

9y = -6x + 15

⇒y = -(6/9)x + (15/9)

     = -(2/3)x + (5/3)

⇒y =  -(2/3)x + (5/3)

So,

Slope = -(2/3)

y-intercept = 5/3

By Comparing with the given line's slope and y-intercept

We can see that slope is same and y-intercept is different

So,

9y = -6x + 15 is parallel to the given line.

D)

3y = -2x + 12

⇒y = -(2/3) + (12/3)

So,

Slope = -(2/3)

y-intercept = 4

By Comparing with the given line's slope and y-intercept

We can see that slope is same and y-intercept is different

So,

3y = -2x + 12 is parallel to the given line.

E)

3x - 2y = 15

⇒-2y = -3x + 15

⇒2y = 3x - 15

⇒y = (3/2) - (15/2)

So,

Slope = 3/2

y-intercept = -15/2

By Comparing with the given line's slope and y-intercept

We can see that slope is different

So,

3x - 2y = 15 is not parallel to the given line.

∴ we get

The three lines that are parallel to the given line are :

2x + 3y = 2

9y = -6x + 15

3y = -2x + 12

Answer:

5.670

Step-by-step explanation:

To compute 1.35 x 4.2

First, we need to convert both decimals to fraction

1.35 = 135/100

4.2 = 42/10

Taking the product

1.35 x 4.2

= 135/100 * 42/10

= (135*42)/(100*10)

= 5670/1000

= 5.670

Hence the product of both numbers is 5.670

Answer:

B

Step-by-step explanation:

You just substitute the values in for A and B and then you simplify

The 10 A would be 10x17 which is 170 and then plus B, which we know is 12, so it would equal 182

hope this helped

Answer:

182

Step-by-step explanation:

First, plug in 17 for a

10·17+b=170+b

Then plug in 12 for b

170+12=182

There you go!

182

Answer: Therefore, the volume of cylinder is 1356.5 cubic inches.

Step-by-step explanation: First I took an ESTIMATE and then after I did my estimate I did the real deal, I took everything I knew and put it all together.

Answer:

12*8.49*8.49 = 8649612in^3

Step-by-step explanation:

Answer:

hope this helps <33

Step-by-step explanation:

2(2n^2+n=6)

Answer:

95 degrees

Step-by-step explanation:

Answer:

Rachel

Step-by-step explanation:

Rachel has the greater representation; if the students are in the lunch line, they are buying food (this does not account for students who bring lunch from home).

The last number in an ID has nothing to do with lunch choice.

Answer:

28:12

Step-by-step explanation:

You multiply both sides by the same number to increase a ratio, the only one you can do this with is 28:12 by multiplying the original ratio by 4

Answer:

1/3n-3÷6

Step-by-step explanation:

3 is subtraced form 1/3

Answer:

n < 27

Step-by-step explanation:

1/3n - 3

1/3n - 3 < 6

Add 3 to each side.

1/3n - 3 + 3 < 6 + 3

Combine like terms.

1/3n < 9

Divide each side by 1/3.

1/3n ÷ 1/3 < 9 ÷ 1/3

Combine like terms.

n < 27

Answer:

D, 144

Step-by-step explanation:

Find x first by solving 9x+27=6x+66, and plug x in to the angle RSL.

Answer:

I think it is (7,5)

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

x - 4 = -3

(add 4 to both sides)

x - 4 + 4 = -3 + 4

x = 1

Answer:

x = 1

Step-by-step explanation:

So you have to separate the x from the rest of the equation

so you can add 4 to both sides so x is by itself

so ur left with:

x = -3 + 4

and that is equal to x = 1

Hope that helps :)

Answer:

61

Step-by-step explanation:

180 - 119 =

Answer:

option D. 10

Step-by-step explanation:

[tex]\frac{34}{85} = \frac{4}{x}\\\\34 \times x = 4 \times 85\\\\x = \frac{340}{34} = 10[/tex]

Answer:

x = 10

Step-by-step explanation:

[tex] \dfrac{34}{85} = \dfrac{4}{x} [/tex]

Cross multiply.

34x = 4 × 85

34x = 340

Divide both sides by 34.

x = 10

Answer:

1/6

Step-by-step explanation:

fraction of water = 1 - (1/2 + 1/3)

)[tex]\frac{1}{2} + \frac{1}{3}[/tex]

[tex]\frac{3 + 2}{6}[/tex]

5/6

1 - 5/6

6/6 - 5/6 = 1/6

Answer:

$12

Step-by-step explanation:

Half of $36 would be $18. $18 divided by 3 would be $6. $6 times 2 would be $12. Half comes from the 1/2 of money spent on Thursday. Dividing it by 3 comes from the remainder on Wednesday. We divide it by 3 since the denominator of 2/3 is 3. We then multiply it by 2, since the numerator in 2/3 is 2.

Answer:50,400

Step-by-step explanation:

Answer:

H. AB < AD

Step-by-step explanation:

_________________

11^2 = h^2 + ( 14/2)^2

11^2 = h^2 + 7^2

121 = h^2 + 49

h^2 = 121 - 49

h^2 = 72

h = √72

Answer:

t > 28

Step-by-step explanation:

Given

> 7 ( multiply both sides by 4 to clear the fraction )

t > 28

Answer:

[tex]t > 28[/tex]

Step-by-step explanation:

Multiply both sides of the inequality by 4:

[tex]4 \times \frac{t}{4} > 4 \times 7[/tex]

Reduce the number with the greatest common factor 4:

[tex]t > 4 \times 7[/tex]

Multiply the number:

[tex]t > 28[/tex]

Answer:

A

Step-by-step explanation:

Total amount of faces of object = 6

Surface area = length x height

2(4*10) + 2(10*17) + 2(4*17)

=2(40) + 2(170) + 2(68)

= 80 + 340 + 136

= 556cm^2

Answer:

the bro ik

Step-by-step explanation:

yup yup yup bri

Answer:

heyyyy

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

colored: white

3           :8

We have 48 white papers so multiply each side by 6

colored: white

3*6       :  8*6

18               48

There are 18 colored papers

Answer:

C)  18

Step-by-step explanation:

3/8 = c/48

cross-multiply to get:

8c = 144

c = 18

Answer:

V = 64 cm^3

Step-by-step explanation:

Volume is length times width times height

V = l*w*h

V = 4*4*4

V = 64 cm^3

Answer:

64

Step-by-step explanation:

4x4x4=64

Answer:

7

Step-by-step explanation:

The common ratio of the geometric sequence is 7.

Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is also known as a geometric sequence of numbers that follow a pattern.

According to the question,

First term = a = 5

Third term = a×r²

                 = 245

⇒ ar² = 245

⇒ 5×r² =245

⇒ r² = 245/5

⇒ r² = 49

⇒ r = 7.

Hence the common ratio = 7

To learn more on geometric progression click :

https://brainly.com/question/4853032

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