There are 15 books on a shelf. 8 of these books are new. The rest of them are used.


(a) What is the ratio of used books to all books on the shelf?

(b) What is the ratio of new books to used books?

Step-by-step explanation:

Given

1/2 ( 6a + 8)

Taking common

= 1/2 * 2( 3a + 4)

= 3a + 4

Hope it will help you :)❤

Answer:

3a+4

Step-by-step explanation:

Simplify  1/2

Then you should do 1/2*(6a+8)

Then you pull out the like terms

  6a + 8  =   2* (3a + 4)

Answer:

 3a + 4

Answer:

245/999

Step-by-step explanation:

Answer:

True answer is <

Step-by-step explanation:

18÷6+3

=3+3

=9

and

6+12÷3

=6+4

=10

Ans:<

Answer:

<

Step-by-step explanation:

Answer:

the walking rate miles per hour is 2 miles per hour

Step-by-step explanation:

The computation of the walking rate miles per hour is shown below;

Given that

She can walk half mile in one-fourth of an hour

= Miles ÷ hours

= (1÷ 2) ÷ (1 ÷4)

= 0.50 ÷ 0.25

= 2 miles per hour

Hence, the walking rate miles per hour is 2 miles per hour

The same is considered

Answer:

a) x = -2+√3 and -2-√3

b) x = -1 + 2√3/3 and -1 - 2√3/3

c) x = 3.185 and 0.315

Step-by-step explanation:

To solve the following quadratic equation, we will use the general formula

x = -b±√b²-4ac/2a

a) x²+4x+1 = 0

a = 1, b = 4 and c = 1

Substitute into the formula

x = -4±√4²-4(1)(1)/2(1)

x = -4±√16-4/2

x = -4±√12/2

x = -4±2√3/2

x  = (-4+2√3)/2 and  (-4-2√3)/2

x = -2+√3 and -2-√3

b) 3x²+6x-1 = 0

a = 3, b = 6 and c = -1

Substitute into the formula

x = -6±√6²-4(3)(-1)/2(3)

x = -6±√36+12/6

x = -6±√48/6

x = -6±4√3/6

x  = (-6+4√3)/6 and  (-6-4√3)/6

x = -1 + 2√3/3 and -1 - 2√3/3

c) 2x² - 7x + 2 = 0

a = 2, b = -7 and c = 2

x = -(-7)±√(-7)²-4(2)(2)/2(2)

x = 7±√49-16/4

x =7±√33/4

x = 7±5.74/4

x = 7+5.74/4 and 7-5.74/4

x = 12.74/4 and 1.26/4

x = 3.185 and 0.315

Answer:

-7-3/4+1= -2

Hence its A

Answer: A or B but really A

Step-by-step explanation:

c² = 144/169

√c² = √144/169

c = 12/13

  or

-12/13² = 144/169

Hope that helped! I recommend choosing A

The solutions to the equation c² = 144/169 are c = 12/13 and c = -12/13, as they satisfy the equation when substituted into it. Thus, options A and B are the correct answers.

The equation is given as follows:

c² = 144/169

To find the solutions of the equation c² = 144/169, we can take the square root of both sides of the equation.

√(c² = ±√(144/169)

Since the square root of a number can be positive or negative, we have two possibilities for the solutions:

c = ±√(144/169)

Simplifying the square root of 144/169 gives:

c = ±(12/13)

So, the solutions to the equation are:

A) c = 12/13

B) c = -12/13

Therefore, options A and B are the correct answers.

Learn more about the equations here:

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Answer:

A)z12 B)9x^3 y^4

Step-by-step explanation:

Answer:

Coordinates of point B':

B' = (-1, -4)

Explanation

To reflect a point or a figure across the x-axis we use the rule:

→

In other words, we multiply the y-coordinate of our points by -1, while leaving the original x-coordinate as it is.

Let's apply the rule to every point of our triangle :

A = (2, 1)

A' = (2, 1*-1) = (2, -1)

B = (-1, 4)

B' = (-1, 4*-1) = (-1, -4)

C = (3, 7)

C' = (3, 7*-1) = (3, -7)

Answer:

[tex] 9 {{c}^{4} } {{d}^{6} }[/tex]

Step-by-step explanation:

[tex](3c^2d^3)^2 \\ \\ = {(3)}^{2} {( {c}^{2} )}^{2} {( {d}^{3} )}^{2} \\ \\ = 9 {{c}^{4} } {{d}^{6} }[/tex]

Step-by-step explanation:

given

as it is right angled triangle so

Let the unknown angle be x Then

90° + 40° + x = 180° ( being sum of angles of triangle)

130° + x = 180°

x = 180° - 130°

Therefore x = 50°

Hope it will help you :)❤

Answer:

The other angle will be 50°.

Step-by-step explanation:

Given that the diagram shows a right angle triangle (90°) and the total sum of angles of a triangle is 180°. In order to find the other angle, you have to subtract :

x + 40° + 90° = 180°

x + 130° = 180°

x = 180° - 130°

x = 50°

Answer:

4x+10

Step-by-step explanation:

Answer: 4x + 10

Step-by-step explanation:

(9x + 3) - (5x - 7)

Distribute

9x + 3 - 5x + 7

Combine like terms

4x + 10

4x + 10 is the simplified version of the original expression so they're equivalent.

Edit: I made a mistake at first, then changed it to the right one. This one is correct. :)

Answer:

move the anomalous results

numbers that don go or are not similar to the other numbers

add the numbers and divide by how many numbers you added

Answer:

Step-by-step explanation:

There are two other important distances on a circle, the radius (r) and the diameter (d). The radius, the diameter, and the circumference are the three defining aspects of every circle. Given the radius or diameter and pi you can calculate the circumference. The diameter is the distance from one side of the circle to the other at its widest points. The diameter will always pass through the center of the circle. The radius is half of this distance. You can also think of the radius as the distance between the center of the circle and its edge.

This diagram shows the circumference, diameter, center, and radius on a circle.

Answer:

S = (-4, -34)

Step-by-step explanation:

T=(10, 18) is one end of the segment

the midpoint is located at (5, -8)

therefore, using the formula for midpoint, we can find the other end of the segment (point S)

Midpoint x-value = xa + (xb - xa)/2

in our case;

5 = 10 + (xb-10)/2

3 - 10 = (xb-10)/2

-7 = (xb-10)/2

-14 = xb-10

xb = -14 + 10 = - 4

Now for the y value of the midpoint:

Midpoint y-value = ya + (yb - ya)/2

in our case:

-8 = 18 + (yb - 18)/2

- 26 = (yb - 18)/2

- 52 = yb - 18

yb = -52 + 18 = -34

Then. point S is located at: S = (-4, -34)

Answer: (0, -34)

Step-by-step explanation:

[tex]M(5,-8)=(\frac{x_{1} + x_{2} }{2} ,\frac{y_{1} + y_{2} }{2})\\(5,-8)(\frac{10 + x_{2} }{2} ,\frac{18 + y_{2} }{2})[/tex]

[tex]5=(\frac{10 +x_{2} }{2})\\ 10=10+x_{2} \\-10-10\\0 = x_{2}\\x_{2} =0[/tex]    [tex]-8=(\frac{18 +y_{2} }{2})\\ -16=18+y_{2} \\-18-18\\-34 = y_{2}\\y_{2} =-34[/tex]

Coordinates of point S = (0, -34)

Answer:

24% saline

Step-by-step explanation:

Find how much saline is in both solutions:

7(0.27)

= 1.89

3(0.17)

= 0.51

Add this together:

1.89 + 0.51

= 2.4

Since there are 10 quarts in total, the concentration of the mixture can be found by dividing 2.4 by 10:

2.4/10

= 0.24

So, the concentration of the mixture is 24% saline

9514 1404 393

Answer:

  16. a: (-90°, (4, 3)); b: (90°, (0, 3)); c: (-90°, (0, 0))

  17. a: (down, (4, -1)); b: (right, (4, 3)); c: (up, (5, 2))

Step-by-step explanation:

We don't know what notation you're used to seeing for rotations. Here. we'll use the form [degrees CCW, (center)]. (CW angles are negative.) In any rotation, the center is the point that is invariant (remains in the same place)

16.

a) The tail is invariant, so the rotation is (-90°, (4, 3)).

b) The tip is invariant, so the rotation is (90°, (0, 3)).

c) The origin is invariant, so the rotation is (-90°, (0, 0))

__

17.

a) The tail is invariant, so the arrow is pointing down with the tip at (4, -1).

b) The center is invariant, so the arrow is reversed. It is pointing right with the tip at (4, 3).

c) Point (2, 3) is invariant, so the arrow is pointing up with the center at (5, 0). The tip is at (5, 2).

_____

Additional comment

If you have trouble visualizing these rotations, you might find it useful to trace the arrow on a piece of (semi-)transparent medium (plastic or tracing paper) so that you can move it as required to match the descriptions in the problem statement. A pin, or a dot on your tracing, can serve to fix the center of rotation. A little hands-on never hurts in math and geometry.

Answer:

The point representing the y-intercept is: (0, -3)

The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.

The point representing the x-intercept is: (10.5, 0)

The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5

Step-by-step explanation:

Given the linear equation

-2x+7y=-21

Determining the y-intercept

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

substituting x = 0 in the equation

-2x+7y=-21

-2(0) + 7y = -21

0+7y = -21

7y = -21

divide both sides by 7

7y/7 = -21/7

y = -3

Therefore, the point representing the y-intercept is: (0, -3)

The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.

Determining the x-intercept

We know that the value of x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

substituting y = 0 in the equation

-2x+7y=-21

-2x+7(0) = -21

-2x + 0 = -21

-2x = -21

divide both sides by -2

-2x / -2 = -21 / -2

x = 21/2

x = 10.5

Therefore, the point representing the x-intercept is: (10.5, 0)

The graph of the linear equation containing the y-intercept (0, -3) and x-intercept (10.5, 0) is shown and attached below.

The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5

Please check the attached graph.

Answer:Depending on how high u do it either by 0,25,50 or 0,50,100

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

Parallel lines need to have the same slope.

Perpendicular lines have opposite reciprocal slopes.

-5/2 and -2/5 are opposite reciprocals nor are they equal.

Answer:

7.635

Step-by-step explanation:

i hope it helps:)

Answer:

7.635

Step-by-step explanation:

25.45 × 0.3 = 7.635

Answer:

11 pints of milk the Garcia family have left after lunch.

Step-by-step explanation:

The Garcia family started the day with 2 gallons of milk.

They drank 1 quart of milk for breakfast and 3 pints for lunch.

Since, 1 gallon = 8 pint

2 gallon = 16 pint

and 1 quart = 2 pint

Left amount = 16 pint - ( 2pint + 3pint)

= 16-5

= 11 pints

Hence, 11 pints of milk the Garcia family have left after lunch.

Answer:

Slopes are= 3/2, 6, -6, -1, 1/2, 1

Vertical Intercepts are= (0,5), (0,6), (0,8), (0,7), (0,-10), (0,0)

Equations= y= -6x+8         y= 1/2x-10

Step-by-step explanation:

Hope it helped!!

Answer:

b

Step-by-step explanation:

Answer: D./Yes, because 180

- (34 + 57) = 89 which means two angles in triangle A are congruent to two angles in triangle B

Step-by-step explanation:

Answer:

1935 that's the answer when u simplify it

Answer:

r - 18

Step-by-step explanation:

Less than means you put the 18 behind the r

Less than means subtraction

The expression for the phrase 18 less than the number r is r - 18.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

18 less than a number r.

Number = r

This means,

r - 18

Thus,

The expression is r - 18.

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Answer:

Are u a door, because u left me on open..

Step-by-step explanation:

Answer:

2/14

Step-by-step explanation:

See there is a total of 14 marbles overall. the question is asking what is the chance that you will pick a white marble out of the 14 marbles in total. Therefore you only have a 2/14 or 1/7 of a chance that you will pick that white marble.