MATHEMATICS MIDDLE SCHOOL

The volume of a sphere is 500
3
πcm3. What is the radius?

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

The volume of a sphere is 500 3 πcm3. what is the radius? sphere v = 4 3 πr3 1. substitute value into formula:   500 3 π = 4 3 πr3 2. undo multiplication of 4 3 :     125π = πr3 3. undo multiplication of π:     125 = r3 4. undo cube:          3√125 = r the radius of the sphere is 6 ⇒ 5 cm
Answer 2
Answer:

Answer:

about 4.9 cm

Step-by-step explanation:

The equation for the volume of a sphere is V= (4)/(3)\pi r^3 . So, to solve this problem we will plug in 500 for V and solve for the radius, r.

  1. 500= (4)/(3) \pi r^3
  2. Multiply both sides by 3: 1500=4\pi r^3
  3. Divide both sides by 4: 375=\pi r^3
  4. Divide both sides by \pi: (375)/(\pi ) =r^3
  5. Find the cubed root of both sides: 4.9237=r
  6. The radius is about 4.9 cm

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10. Mr. Guerrero left his house and drove north at an average speed of 40 mph.Two hours later, his daughter Miranda left the house and drove the sameroute as her father, but at an average speed of 48 mph. How far from homewere they when Miranda overtook her father?

Answers

Speed=distance / time  ⇒ distance=time x speed
distance=d
time=t
speed= s

d=s*t

Distance  traveled by Mr Guerrero, when his daugther left the house
Data:
s=40 miles/ hour
t=2 hours
d=40 miles/ hour * 2 hours=  80 miles

Total distance traveled by Mr Guerrero:
d=80 miles + 40 miles/hourt    ⇒d=80+40t      (1)

d=total distance.
s=speed.
t=time spent by Miranda for she overtook her father.

Distance traveled by Miranda.
data:

s=48 miles/ hour
d=total distance.
t=time spent by Miranda for she overtook her father.

d=48 miles/hour * t      ⇒d=48t       (2)

With the equations (1) and (2), we make an system of equations:

d=80+40t
d=48t

We can solve this system of equation by equalization method.

80+40t=48t
80=48t-40t
80=8t
t=80/8=10

d=48t
d=48*10=480

Answer: the thistance will be 480 miles.

Carter can swim 25 yards of freestyle in 19 seconds what is his speed in words per second?

Answers

Answer:

1.32 yards per second.

Step-by-step explanation:

We have been given that Carter can swim 25 yards of freestyle in 19 seconds. We are asked to find Carter's speed in yards per second.

To find Carter's speed in yards per second, we will divide total distance by total time taken as:

\text{Carter's speed in yards per second}=\frac{25\text{ yards}}{\text{ 19 seconds}}

\text{Carter's speed in yards per second}=\frac{1.31578947\text{ yards}}{\text{seconds}}

\text{Carter's speed in yards per second}\approx \frac{1.32\text{ yards}}{\text{seconds}}

Therefore, Carter's speed is approximately 1.32 yards per second.
25/19 = 1.32 (one point three two) yds per second

How to solve 11=3−4/3x.

Answers

11-3=-4/3x
8=-4/3x
24=-4x
-6=x

Point A on a number line is 12 units to the left of 0. Point B is 9 units to the right of zero. What is the distance between Point A and Point B?A) -21 units
B) -3 units
C) 3 units
D) 21 units

Answers

I’m pretty sure it’s 21 units

27 thousand 3 hundred 5 ones

Answers

The number you stated can also be written as 27,305.
The Answer id 27,305

PLEASE ANSWER ASAP! MUST BE CORRECT! MORE POINTS GIVEN!!! Sally said that when you add or subtract positive or negative decimals, you can change the order of the decimals and still get the same answer.
Use these decimals to answer the questions:
–6.2, 5.71, –3.96, 2.84

Write a rule about changing the order of the numbers in adding and in subtracting positive and negative decimals.

Answers

These are the two rules for when a and b are positive numbers.
a + b = b + a
a - b ≠ b -a
a - b = -b + a

For example:

5.71 + 2.84 = 2.84 + 5.71
8.55 = 8.55

5.71 - 2.84 ≠ 2.84 - 5.71
2.87 ≠ -2.87

5.71 - 2.84 = -2.84 + 5.71
2.87 = 2.87



These are the rules for when a and b are negative numbers.
a + b = b + a
a - b = b + a

For example,

-6.2 + (-3.96) = -3.96 + (-6.2)
-6.2 - 3.96 = -3.96 - 6.2
-10.16 = -10.16

-6.2 - (3.96) = -3.96 + (-6.2)
-10.16 = -10.16



Also, if a is a positive number, while b is a negative number, we see these rules:
a + b = a - b
a - b = a + b

For example,

5.71 + (-6.2) = 5.71 - 6.2
-0.49 = -0.49

5.71 - (-6.2) = 5.71 + 6.2
11.91 = 11.91


Also, if a is a negative number while b is a positive number, then these rules will apply:
a + b = b - a
a - b = -b - a

For example,

-3.96 + 2.84 = 2.84 - 3.96
-1.12 = -1.12

-3.96 - 2.84 = -2.84 - 3.96
-6.8 = -6.8


I hope this helps! :)
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