Stossel is listening to an audiobook that at normal speed will last 10 hours. Stossel decides listen the audiobook at 2.5 faster. How long will the book be?

Answer:

Step-by-step explanation:

2x-y=4 ..........(1)

x+y=5 ...........(2)

Add equation 1 and 2:

We get:

3x=9

x=9/3

x=3

Substitute value of x in (2):

x+y=5

3+y=5

y=5-3

y=2

(3,2)

Answer:

$12.5

Step-by-step explanation:

140 divided by 7 is 20, since 20 is a factor of 500, it will make it easier. Since we divided the 140 grams by 7, we also have to divide the $3.5 by 7, which will get you$0.5. 20 times 25 is 500, so you will also time the $0.5 by 25 which will get you $12.5

Answer:

x < 4

Step-by-step explanation:

3x - 3 < 9 ( add 3 to both sides )

3x < 12 ( divide both sides by 3 )

x < 4

Answer:

x < 4.

Step-by-step explanation:

3x - 3 < 9

Add 3 to both sides:

3x < 9 + 3

3x < 12

Divide both sides by 3:

x < 4.

Answer:

See below for answers

Step-by-step explanation:

These triangle do not have to be similar to each other because the 30° angles  may not be located in the same place.

For example, place one 30° at the vertex of the triangle which is  located where the two equal legs of the isosceles triangle are joined.  The triangle angles measure are 30°, 75°, and 75°.

But if the 30° angle is one angle at the base of the isosceles triangle, then the angles measure are 30°, 30°, 120°.  

                                                          30°  

                           Δ                             Δ

                      30°

Answer:

y= ⅔x -2

Step-by-step explanation:

slope-intercept form

y= mx +b, where m is the slope and b is the y-intercept.

Two given coordinates: (-3, -4) and (6, 2)

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

Slope

[tex] = \frac{2 - ( - 4)}{6 - ( - 3)} [/tex]

[tex] = \frac{2 + 4}{6 + 3} [/tex]

[tex] = \frac{6}{9} [/tex]

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

Substitute m= ⅔ into the equation:

y= ⅔x +b

From the graph, the y- intercept is -2 since the line cuts through the x-axis at (0, -2).

Alternatively, we can also substitute a pair of coordinates into the equation to find the value of b.

When x= 6, y= 2,

[tex]2 = \frac{2}{3} (6) + b[/tex]

2= 4 +b

b= 2 -4

b= -2

Thus the equation of the line is y= ⅔x -2.

Answer:

i think seventy two......72

Answer:

4.79 + 23.6

Try this, let me know if I'm wrong.

Answer:

the length of the magnet is 5cm

Step-by-step explanation:

first convert the feet into inches: 2ft 6in=30in, 1ft 9in=21in

then convert inches into centimeters (times by 2.5): 30*2.5=75cm 21*2.5=52.5

then divide 52.5 by 3.5 to get a proportion: 52.5/3.5=15

then divide 75 by 15: 75/15=5cm

Answer:

-2/9

Step-by-step explanation:

Since the denominators are the same, we can combine like terms

4/9 + (-6/9)

-2/9

[tex] \: \: \: \: \: \: [/tex]

[tex] = - \frac{2}{9} [/tex]

Step-by-step explanation:

[tex] \frac{4}{9} + \frac{ - 6}{9} [/tex]

[tex] \frac{4 - 6}{9} [/tex]

[tex] \frac{ - 2}{9} [/tex]

[tex]use \: \: \frac{ - a}{b } = \frac{a}{b} = - \frac{a}{b} \: \: \: \: to \: \: rewrite \: \: the \: \: fraction[/tex]

[tex] = - \frac{2}{9} \\ \\ or \: \: in \: \: alternate \: form \\ \\ - 0.2[/tex]

[tex] \: \: \: \: \: \: [/tex]

Answer:

1. x = 13

2. a = 15

3. y = 3

4. g = -24

5. z = 5.57

6. h = 7.5

7. b = 5.8

8. w = -4.5

13. 29 chapters

14. 23.7 pounds

Step-by-step explanation:

hope this helps! :D

Answer:

Interval notation for m: (-3,3)

Inequality notation: -3<m<3

In words: Anything between -3 and 3 without including either -3 or 3.

Step-by-step explanation:

If we want no real roots then b^2-4ac must be less than 0.

a=1

b=2m

c=9

These values were found by comparing your equation to ax^2+bx+c=0.

b^2-4ac<0 is what we are trying to satisfy

(2m)^2-4(1)(9)<0

4m^2-36<0

Divide both sides by 4:

m^2-9<0

Add 9 on both sides:

m^2<9

m^2<9 when m<3 and m>-3.

Interval notation (-3,3).

Answer:

The amount of tax is: 6.08

The total of the coat is: 82.08

Step-by-step explanation:

:))

Answer:

23 meters

Step-by-step explanation:

You would subtract 24 from 70, and then divide by two.

70-24=46

46/2 = 23

Answer:

x = 16

Step-by-step explanation:

46° and (3x - 2)° are alternate angles and are congruent , so

3x - 2 = 46 ( add 2 to both sides )

3x = 48 ( divide both sides by 3 )

x = 16

Answer:

max at (- 6, 18 )

Step-by-step explanation:

Given the equation of a parabola in intercept form

y = a(x + c)(x + d)

• If a > 0 then min vertex

• If a < 0 then max vertex

y = - 2(x + 9)(x + 3) ← is in intercept form

with a = - 2 < 0 then max vertex

y = - 2(x + 9)(x + 3) ← expand factors using FOIL

  = - 2(x² + 12x + 27) ← distribute parenthesis by - 2

y = - 2x² - 24x - 54 ← in standard form

with a = - 2 and b = - 24

The x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex] = - [tex]\frac{-24}{-4}[/tex] = - 6

Substitute x = - 6 into the equation and evaluate for y

y = - 2(- 6 + 9)(- 6 + 3) = - 2(3)(- 3) = 18

vertex = (- 6, 18 ) and is a max

Answer:

Rounding maybe

Step-by-step explanation:

Answer:

3^2 * 5 * 13

Step-by-step explanation:

585

= 5 * 117

= 5 * 3 * 39

= 5 * 3 * 3 * 13

= 3^2 * 5 * 13

Answer:

3×3×5×13 that's the answer

Answer:

4

Step-by-step explanation:

3/(3/4)=4

Answer:

not sure if u saw the comment but

7 and 8 are congruent, and 8 is congruent to 10

that maybe the rest of the answer

x = 6 can be represented on the number line and hence it is real

Step-by-step explanation:

by simply plugging in 6 for x thus

x=6 becomes 6=6 which is true

Answer:

[7.8] = 8

[0.75] = 1

...

Step-by-step explanation:

step function takes the value of the greatest integer

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

D

Step-by-step explanation:

The distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

ZY = [tex]\frac{1}{2}[/tex] UZ = [tex]\frac{1}{2}[/tex] × 8 = 4

Then

UY = UZ + ZY = 8 + 4 = 12 → D

Answer: 94 live chickens go in each box.

Step-by-step explanation:     3,572 divided by 38 = 94 so 94 live chickens go in each box.

hope this helps :)

Answer:

inches

Step-by-step explanation:

pretty sure that says 41 inches because at 36 it says 3 feet and 12 inches = 1 feet, so 36 inches equal 3 feet. The measurement would be inches.

Answer:

I think so..I'm not really sure though, u know?