What's the product: (12x+1)(3x-8)

a bicycle tire is 28 inches in diameter. approximately how far does the bicycle move forward each time the wheel goes around? (u

belka [17]

ANSWER

$88 \: inches$

EXPLANATION

The given bicycle has a tyre that is 28 inches in diameter.

How far the bicycle moves forward each time the wheel goes around is the circumference of the bicycle tyre.

This is calculated using the formula:

$C =\pi \: d$

We substitute the diameter and

$\pi = \frac{22}{7}$

$C = \frac{22}{7} \times 28$

This simplifies to

$C =22 \times 4$

$88 \: inches$

8 0

3 years ago

Read 2 more answers

A team of scientist surveying a forest found that there were four oak trees for every 10 pine trees. If they counted 24 more pin

Ipatiy [6.2K]

Answer:

There are 16 Oak tree in the forest.

Step-by-step explanation:

Given: There are 4 Oak tree on every 10 pine trees.

There are total 24 more pine tree than Oak tree.

Using the ratio of trees to find the number of trees.

Lets assume there are total number of Oak tree be "x".

∴ Total number of Pine trees will be $"x+24"$

We know the ratio of Oak to Pine tree is 4:10 or $\frac{4}{10}$

⇒ $\frac{x}{x+24} = \frac{4}{10}$

Multiplying both side by $x+24$

⇒ $x= \frac{4(x+24)}{10}$

Using distributive property of multiplication, distributing 4 with x and 24.

⇒ $x= \frac{4x+96}{10}$

Multiplying both side by 10

⇒ $10x= 4x+96$

subtracting both side by 4x

⇒ $6x= 96$

dividing both side by 6

⇒ $x= \frac{96}{6}$

∴ $x= 16$

Hence, There are 16 Oak trees in the forest.

5 0

4 years ago

Possible solution for 4+x+2-2x=5

MrRissso [65]

Answer:

x=1

Step-by-step explanation:

For algebra always start by rewriting it.

4+x+2-2x=5

Then ask yourself is there any like terms we can combine, and here yes there is. 4 and 2 and x and -2x. Now lets combine them and rewrite.

6-x=5

Now lets get x alone and the quickest way is to subtract 6 to the other side

6-x=5

-6 -6

-x=-1

Now the two negatives cancel out as you would divide both sides by the coefficient -1 to get positive x alone. We can make this easier by just canceling out the negatives.

Your answer is

x=1

3 0

4 years ago

Explain how you could use estimation to get an appoximate answer for the expression below. (11.6+7.3) - (6.2 x 2.1)

Kruka [31]

Answer:

(11.6+7.3) - (6.2 × 2.1)

(18.9)-(13.02)

= 149.1

8 0

2 years ago

A coin is weighted so that the probability of obtaining a head in a single toss is 0.3. If the coin is tossed 35 times, what is

Vlada [557]

Answer:

(1) The correct answer is option (a) 0.510

(2) The correct answer is option (b) = 0.9664

(3) The correct answer is option (a) 0.8665

Step-by-step explanation:

1. Find attached of question 1

2.

n= 850

p= 0.1400

here mean of distribution(μ) =n*p

=850* 0.1400

= 119

standard deviation σ = √(np(1-p))

= √(850*0.1400(1-0.1400))

= √102.34

=10.1163

for normal distribution z score =(X-μ)/σx

therefore from normal approximation of binomial distribution and continuity correction:

probability = P(X>100.5)

= P(Z>-1.83)

= 1-P(Z<-1.83)

= 1-0.0336

= 0.9664

3.

n = 1000

p = 0.08

mean of distribution(μ) =np

= 1000*0.08

= 80

and standard deviation σ=√(np(1-p))

= √(1000*0.08(1-0.08))

= √736

= 8.5790

probability = P(X>70.5)

= P(Z>-1.11)

= 1-P(Z<-1.11)

= 1-0.1335

= 0.8665

8 0

3 years ago