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3 years ago

A man can run at a speed of 13 feet per second on land. at this rate how far can it run in 3 seconds

Mathematics

2 answers:

ololo11 [35]3 years ago

5 0

13 feet per second.

13/1 = x/3

Now solve for x.

13*3 = x

x = 39

Answer: An alligator can run at a speed of 39 feet in 3 seconds.

Ilia_Sergeevich [38]3 years ago

4 0

The answer is 39 feet

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You roll 4 fair, distinguishable, six-sided dice. What is the probability of rolling :______

Vikentia [17]

Answer:

a)0.25

b)0.375

Step-by-step explanation:

Possible outcomes when dice are rolled : 1 ,2 ,3,4,5 ,6

Even= 2,4,6

Odd = 1 ,3 , 5

Probability of getting even = $\frac{3}{6}=\frac{1}{2}$

Probability of getting odd = $\frac{3}{6}=\frac{1}{2}$

4 dices are rolled together

a)P(3 even and 1 odd numbers)

P(3 even and 1 odd numbers)= $^4C_3 (\frac{1}{2})^3 (\frac{1}{2})^1$

P(3 even and 1 odd numbers)= $\frac{4!}{3!1!} (\frac{1}{2})^3 (\frac{1}{2})^1 =0.25$

b)P(2 even and 2 odd numbers)

P(2 even and 2 odd numbers)= $^4C_2 (\frac{1}{2})^2 (\frac{1}{2})^2$

P(3 even and 1 odd numbers)= $\frac{4!}{2!2!} (\frac{1}{2})^2 (\frac{1}{2})^2$ =0.375

6 0

2 years ago

X-y=6 2x-3z=16 2y+z=4 Solve the systems of equations.

Neko [114]

Answer:

Given System of equation:

x-y =6 .....,[1]

2x-3z = 16 ......[2]

2y+z = 4 .......[3]

Rewrite the equation [1] as

y = x - 6 .......[4]

Substitute the value of [4] in [3], we get

$2(x-6)+z = 4$

Using distributive property on LHS ( i.e, $a \cdot (b+c) =a \cdot b+ b \cdot c$ )

then, we have

2x - 12 +z =4

Add 12 to both sides of an equation:

2x-12+z+12=4+12

Simplify:

2x +z = 16 .......[5]

On substituting equation [2] in [5] we get;

2x+z=2x -3z

z = -3z

Add 3z both sides of an equation:

z+3z = -3z+3z

4z = 0

Simplify:

z = 0

Substitute the value of z = 0 in [2] to solve for x;

$2x-3(0) = 16$

2x = 16

Divide by 2 both sides of an equation:

$\frac{2x}{2} =\frac{16}{2}$

Simplify:

x= 8

Substitute the value of x =8 in equation [4] to solve for y;

y = 8-6 = 2

y = 2

Therefore, the solution for the given system of equation is; x = 8 , y = 2 and z =0

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3 years ago

Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month,

Ray Of Light [21]

Answer:

B) Victoria's method is linear because the number of minutes increased by an equal number every month.

Step-by-step explanation:

Zach reading time written in sequence form is given as:

10,20,40,80,...
Each succeeding term is a product of the previous term by 2

Victoria reading time written in sequence form is given as

35,50,65,80...

Each succeeding term is an addition of 15 Minutes to the previous term.

The statement that best describes the methods used by Zach and Victoria to increase the time they spent reading a book is therefore:

B) Victoria's method is linear because the number of minutes increased by an equal number every month.

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3 years ago

6.52 7.25 13.05 43.50

gtnhenbr [62]

Total hours worked: 6 + 4 + 8 = 18 hours.

To find her hourly rate, divide the total pay by total hours worked:

130.50 / 18 = $7.25

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2 years ago

A large pizza costs $8.95, plus $0.65 for each additional topping. Ron paid $10.90 for a large pizza. How many additional toppin

svp [43]

X represents # of toppings

8.95+0.65x=10.90
0.65x=1.95
x=3

He got 3 additional toppings onto his large pizza.

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2 years ago