Transversal / cuts lines a, b, c, and d. Which two lines are parallel?

Y/3 + 8 = -2 solve for y a. -30 b. -18 c. 18 d. 30

Rainbow [258]

Answer:

$\large\boxed{a.\ -30}$

Step-by-step explanation:

$\dfrac{y}{3}+8=-2\qquad\text{subtract 8 from both sides}\\\\\dfrac{y}{3}+8-8=-2-8\\\\\dfrac{y}{3}=-10\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{y}{3\!\!\!\!\diagup_1}=(3)(-10)\\\\y=-30$

5 0

3 years ago

PLEASE HELP

Rudiy27

Given:

The equation is

$7(x+1)+11x=-2x-5$

To find:

The reason for each statement.

Solution:

We have,

$7(x+1)+11x=-2x-5$

Using distributive property, we get

$7x+7+11x=-2x-5$

On combine like terms, we get

$18x+7=-2x-5$

Using addition property of equality, add 2x on both sides.

$20x+7=-5$

Using subtraction property of equality, subtract 7 from both sides.

$20x=-12$

Using division property of equality, divide both sides by 20.

$x=-\dfrac{12}{20}$

$x=-\dfrac{3}{5}$

Therefore, the required reasons are:

2. Distributive property

3. Combining like terms

4. Addition property of equality

5. Subtraction property of equality

6 0

3 years ago

Extra points please put answer.

Vesnalui [34]

Answer:

$\frac{17}{126}$

Step-by-step explanation:

Hey There!

If you divide a whole number from a fraction all you have to do is multiply the dividend (7) by the divisor ( denominator) ( aka 18)

18x7=126

so the simplified version would be

$\frac{17}{126}$

Hope this helps :)

6 0

3 years ago

Marla is driving a remote control boat at the carnival. She puts quarters into a machine to get more minutes of driving time. Wh

Andre45 [30]

Answer:

Option C is the 3rd picture

see the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Let

x ----> the number of quarters

y ----> the number of minutes

we know that

$k=y/x$

Verify each table

First table

For x=1, y=5 ----> $k=5/1=5$

For x=3, y=7 ----> $k=7/3=2.3$

For x=5, y=10 ----> $k=10/5=2$

The values of k are different

therefore

This table not shows a proportional relationship between the number of quarters and the number of minutes

Second table

For x=2, y=5 ----> $k=5/2=2.5$

For x=3, y=8 ----> $k=8/3=2.7$

For x=4, y=16 ----> $k=16/4=4$

The values of k are different

therefore

This table not shows a proportional relationship between the number of quarters and the number of minutes

Third table

For x=2, y=10 ----> $k=10/2=5$

For x=5, y=25 ----> $k=25/5=5$

For x=7, y=35 ----> $k=35/7=5$

The value of k=5

therefore

This table shows a proportional relationship between the number of quarters and the number of minutes

Fourth table

For x=4, y=8 ----> $k=8/4=2$

For x=8, y=18 ----> $k=18/8=2.25$

For x=12, y=28 ----> $k=28/12=2.3$

The values of k are different

therefore

This table not shows a proportional relationship between the number of quarters and the number of minutes

7 0

4 years ago

Write the equation in standard form. x2 + 6 = 5x

Dvinal [7]

Answer:

Step-by-step explanation:

x2 + 6 = 5x

2x-5x = -6

3x = -6

x = -6/3

x = -2

6 0

3 years ago

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