Solve for y.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
5y +3> -7y + 13

Answer:

a = -2

Step-by-step explanation:

7a + 10 = 2a​

subtract 2a from both sides

5a + 10 = 0

subtract 10 from both sides

5a = -10

divide both sides by 5

a = -2

hope this helps

3*-6-2*-11=14

-18+22=14

22=14+18

10

Answer: First, remember that parallel lines have the same slope. So we first need to find the slope of the line we are given, 3x+2y=27. The quickest way to find the slope of this line is to put it into slope-intercept form (y=mx+b)

subract 3x from both sides:  

2y=-3x+27

divide each term by 2:

y=-3/2x +27/2

Now we can see that the slope is -3/2.

From here, we use the slope we found and the ordered pair given (7,-4) and find the equation of the new line. We will have to use point-slope form (y-y1)=m(x-X1) to find the new line because the ordered pair given is not the y-intercept.

(y-(-4))=-3/2(x-7)

distribute -3/2:

(y-(-4))= -3/2x + 21/2

simplify double negative on left side of equals sign:

y+4=-3/2x + 21/2

Subtract 4 from both sides:

y= -3/2x + 13/2

This is your answer in slope intercept form. Because the directions specifically ask for standard form, we have one more step. Standard form (ax+by=c) needs the terms with x and y to be on the same side of the equals sign. So, we simply have to move the term with x (-3/2x) to the other side by adding.

Finished product:

3/2x+y= 13/2

Step-by-step explanation:

Answer:

1:2

Step-by-step explanation:

Answer: i think the answer is 1 6/35

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](\frac{3}{7} + \frac{4}{5} ) - \frac{2}{35} \\\\\frac{15+28}{35}- \frac{2}{35}\\\\\frac{43}{35}- \frac{2}{35}\\\\\frac{41}{35}\\\\1\frac{6}{35}[/tex]

Answer:

The equation:

6x + 2 = 20

The answer:

x = 3

Answer: 9

Step-by-step explanation: on a number line -9 is before 0 9 is after 0 , and any number to the right of a number is greater.

Answer:

Mixed number: 1 9/10

Improper fraction: 19/10

Answer:

Each of the three letter combinations can be combined with any of the three number combinations so the total is 17,576 x 1000 = 17,576,000 different combinations possible.

Step-by-step explanation:

I hope this help you

Answer:

solution is 6²⁰ I think

Answer:

x = 7/4

Step-by-step explanation:

5-4x+2=0

= -4x +5 +2 =0

= -4x + 7 = 0

= -4x +7-7 = 0-7

= -4x = -7

divide both sides by -4

and u got

x = 7/4

Answer:

3/4

Step-by-step explanation:

Step 1:

5 - 4x + 2 = 0       Equation

Step 2:

3 - 4x = 0      Combine Like Terms

Step 3:

3 = 4x      Add 4x on both sides

Step 4:

x = 3 ÷ 4      Divide

Answer:

x = 3/4

Hope This Helps :)

Answer:

Area of larger rectangle = 1½ = 1.5 in²

Step-by-step explanation:

The section consists of 3 small squares that has an area = [tex] \frac{3}{16} in^2 [/tex].

Area of 3 small squares = [tex] \frac{3}{16} in^2 [/tex]

Area of 1 small square = [tex] \frac{3}{16} [/tex] ÷ 3

= [tex] \frac{3}{16} * \frac{1}{3} [/tex]

= [tex] \frac{3*1}{16*3} = \frac{1}{16} [/tex]

The larger rectangle has 24 small squares of equal sizes

Area of larger rectangle = area of 1 small square * 24

= [tex] \frac{1}{16} * 24 [/tex]

[tex] = \frac{24}{16} = \frac{3}{2} [/tex]

Area of larger rectangle = 1½ = 1.5 in²

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon = 360°

Answer:

The meaning of rigid corresponds with rigid motion

Step-by-step explanation:

Rigid motion in geometry occurs when a point or object is moved, but the size and shape remain the same. It is also referred to as RIGID TRANSFORMATION.

Therefore, the meaning of the word rigid, which means "not bendable", and another is "unable to be changed" corresponds to the definition of rigid motion.

Rigid means unable to move or remain stagnant.

Answer:

-6

Step-by-step explanation:

First you need to substitute -1 in for x in -2x^2

This makes it (-2)(-1)^2

-2x^2 becomes -2 so this means that the equation is now

-2 + (-1) - 3

-2 + (-1) = -3

-3 - 3 = -6

Answer:

x + 4

Step-by-step explanation:

Area of rectangle= length × breadth

In this question, one length is 5x + 3 and the area is 5x^2 + 23x + 12

This means that;

5x2 + 23x + 12 = 5x + 3 (b)

Hence, to get the other length (b) = 5x2 + 23x + 12/ 5x + 3

To get the other length, we can factorize the algebraic expression;

5x2 + 23x + 12

Product: 60x^2 (20x × 3x)

Sum: +23x (20x + 3x)

Hence;

= 5x^2 + 20x + 3x + 12

Next, we find factors;

5x (x+4) + 3 (x+4)

Therefore, the factors are (5x + 3) and (x +4)

This means that the other length is (x +4)

Answer:

$42

Step-by-step explanation:

5 divided by $30 so each ticket would be $6 then just multiply $6 and 7

Answer:

It would cost $42 because 30 divided by 5 equals 6, so that's saying for each  1 ticket it costs $6. So with the new equation, 7 x $6, we get $42. Which will end up being the cost for 7 tickets.

Answer:

Step-by-step explanation:

B

Answer: B

Step-by-step explanation:

Answer:

original price = 35

new price = 35 - 85%*35 = 35 - 29.75 = 5.25

Step-by-step explanation:

Answer:y=x/3

Step-by-step explanation:

x-3y=0

or,x=3y

y=x/3

Given:

Student's verbal score, y, based on the student's math score, x is

[tex]y=0.4433x+307.68[/tex]

To find:

The meaning of slope of this equation in terms of the context of the problem.

Solution:

Slope intercept form of a linear equation is

[tex]y=mx+b[/tex]             ...(i)

where, m is slope and b is y-intercept.

The given equation is

[tex]y=0.4433x+307.68[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]m=0.4433[/tex]

Therefore, the slope of the linear equation is 0.4433. It means, student's verbal score, y increased by 0.4433 if the student's math score, x increased by 1.

Answer:

12n-17

Step-by-step explanation:

add like terms: 9n+3n and -16-1

Answer:

0.866666666666666666666666666666666 or 13/15

Step-by-step explanation:

Convert both numbers to fractions and add them together to get 13/15.

The addition of the two-thirds plus one-fifth is 13/15.

The addition of two or more numbers possesses some important properties.

The list of properties of addition given below will help in predicting the sign of the result obtained in the addition process.

The given expression is;

[tex]\rm \dfrac{2}{3}+\dfrac{1}{5}[/tex]

The addition of the expression is determined in the following steps given below.

[tex]\rm = \dfrac{2}{3}+\dfrac{1}{5}\\\\=\dfrac{2 \times 5+3\times 1}{15}\\\\ =\dfrac{10+3}{15}\\\\=\dfrac{13}{15}[/tex]

Hence, the addition of the two-thirds plus one-fifth is 13/15.

Learn more about addition here;

brainly.com/question/9859817

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Answer:

78 Liters

Step-by-step explanation:

20.6 x 3.8 = 78.28 liters Rounds up to 78 liters

Answer:

x = -1

Step-by-step explanation:

Answer:

Save 7.5$ and it will be $142.5

Step-by-step explanation:

Answer:

perpendicular

Step-by-step explanation:

both lines meet at a 90 degree angle

Answer:

$16.81

Step-by-step explanation:

$50.00 -$8.50 - $13.99 - $6.50 = $21.01

$21.01 * 0.20 = $4.20

$21.01 - $4.20 = $16.81