What does n equal in this equation?

-5n+8= -7

Answers

Answer 1
Answer: -5n+8= -7
      -8    -8
-5n =     -15
/-5         /-5
n = 3

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66.15 divided by 0.63

Answers

How many times does 0.63 go into 66.15? The answer is 105

T is to 9 as 7 is to 39

Answers

Answer:

T = 21/13

Step-by-step explanation:

Step 1:  Make an expression

T is to 9 as 7 is to 39

(T)/(9) = (7)/(39)

Step 2:  Cross multiply

(T)/(9) = (7)/(39)

39(T) = 7(9)

39t = 63

Step 3:  Divide both sides by 39

39T / 39 = 63 / 39

T = 21 / 13

Answer:  T = 21/13

Grandma Edith uses her big punch bowl at family gatherings. The bowl is half of a sphere, with a diameter of 30 cm. Her ladle is also half of a sphere, with a diameter of 8 cm. How many ladles can Grandma Edith scoop from the punch bowl? use 3.14 to approximate pi and express your answer as a whole number. show your work.

Answers

Our first instinct is to go through every step ...

-- calculate the volume of the bowl
-- calculate the volume of the ladle
-- divide the volume of the bowl by the volume of the ladle

and we may even start down that path.  But we soon realize that
it's going to be painful and take a lot of time.  So we stop right
where we are, and consider our options. 
We have two options: 
            #1). Give up, quit, and walk away. 
            #2). Find a smarter way to do it.

Look at the formula for the volume of a sphere:

           Volume = (4/3 π) (radius³) .

Do you see that ?  The radius³ is a factor in the volume of
everysphere. That means that if you multiplythe radius
of a sphere by (a number),the volume of the sphere gets
multiplied by (the same number)³ ! 

How does that help us with this problem ?  Well, it alsomeans
that the ratio of the volumes of two spheres is

                         (the ratio of their radii)³.

Radius of the bowl  =  15 inches
Radius of the ladle  =   4 inches
Ratio of their radii  =  (15/4)  =  3.75

 
  So the bowl holds  (3.75)³  as much as the ladle holds.

  
(3.75)³  =  52.73 ...

  
The bowl holds  52.73 ... times as much as the ladle.

   After Grandma Edith scoops 52 ladle-fulls from the bowl,
there will be less than 1 ladle-full remaining in there. 

And we did it all without even knowing π .
1) we calculate the volume of the big punch bowl
Volume (half sphere)=(1/2)(4/3)πr³=2/3πr³
radius=30 cm / 2=15 cm

Volume=(2/3)π(15 cm)³=2250π cm³

2) we calculate the volume of the ladle:
radius=8 cm/2=4 cm
Volume=(2/3)π(4 cm)³=128π/3 cm³

3) we calculate the number of ladles by the rule of three.
1 ladle----------------------128π/3 cm³
x------------------------------2250π cm³

x=(1 ladle * 2250π cm³) / (128π/3 cm³)=52.73 ladles≈52 ladles

Answer: 52 ladles.

What is the effect if two parallel lines are rotated 90° clockwise?change direction but remain parallel
change direction but are now perpendicular
no longer parallel because one line changed direction
no longer parallel because two lines changed direction

Answers

Answer:

the first one

Step-by-step explanation:

if you have a ladder with no steps and it is leaning on a wall it will be facing up if you carry that ladder sideways it will still be parrallel to the opposite poles

if this confuss you I will answer again

What is the Kinetic energy of a 0.5 kg soccer ball that is traveling at a speed of 3 m/s?

Answers

The kinetic energy of the soccer is 2.25 J.

What is Kinetic energy?

The kinetic energy of the soccer is the energy possessed by the soccer due to its motion and the can be determined using the following formula;

K.E = ¹/₂mv²

where;

  • m is mass of the soccer
  • v is the velocity of the soccer

Substitute the given parameters and solve for the kinetic energy of the soccer.

K.E = ¹/₂ x 0.5 x (3)²

K.E = 2.25 J

Thus, the kinetic energy of the soccer is 2.25 J.

Learn more about kinetic energy here: brainly.com/question/25959744

Kinetic energy formula is
K.E = (1)/(2)mv²

m = 0.5 kg
v = 3 m/s

Plug in the given.

K.E = (1)/(2) × (0.5) × (3)²
       = 2.25 J

Solve.
8+h>2+3h
A) h>3
B) h>4
C) h<3
D) h<4

Answers

8 + h > 2 + 3h
h - 3h > 2 - 8 . . . . . . . . (collecting like terms)
-2h > -6
h < -6/-2 . . . . . . . . (> changes to < when you divide with negative number and vice-versa)
h < 3 (i.e. the third option)