Erika and Bradley want to hike the Big Cypress Trail. They will hike a total of 72 milles FErika and Bradley want to hike 16 miles each day, how many days will they hike exadty 16 miles? They will hike exactly 16 miles each day for days.

Answers

Answer 1

Answer:

Answer: They will hike exactly 16 miles each day for 4 days.

Step-by-step explanation:

Given: Total distance to hike = 72 miles

They hike 16 miles per day.

Total days they will take to complete the distance = $\frac{\text{Total distance to hike}}{\text{Distance hiked each day}}$

$=(72)/(16)\n\n=(9*8)/(2*8)=\frac92\n\n=4\frac12$

It will take 4 complete days and a half day to complete the journey.

i.e. They will hike exactly 16 miles each day for 4 days.

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Multiply. Write your answer in simplest form.

5/12 x 4/5

Answers

Multiply across.
Step 1: 5x4=20
Step 2: 12x5=60
Step 3: Reduce or simplify
20/60=1/3

You reduce the fraction by dividing numerator and denominator by 5.
1/12 x 4.Reduce the fraction by dividing numerator and denominator by 4.
1/3 x 1.You multiply the values. 1/3.

I am a 3-digit number that is even. My hundreds and ones digits are the same and have a sum of 8. My tens digit is 2 less than my ones digit. What number am I ?

Answers

Let's start off with some key terms.

The number has 3 digits.
Even numbers end with 0, 2, 4, 6, or 8. (Obviously)

The hundreds digit and ones digit are the same.
First number in a 3 digit number is the hundreds, and the last number is the ones.

So, both of those two digits are the same and has to equal 8.

Well, $4+4=8$

The hundreds place and the ones place are 4.

The tens digit is the middle number in a 3-digit number.

It is two numbers less than the ones digit.
$4-2=2$

The number is 424.

$\bowtie$

424 I know because 4+4=8 and 4-2= 2 so I figured 424

Use a double or half angle identity to find cos (7π/12). Provide the exact answer in simplest form (no approximations)

Answers

$(√(6) + √(2))/4$ . cos( $7 \pi /12$ ) is the same thing as cos(π/3 + π/4) and then you use the formula cos(a + b) = cos(a)cos(b) + sin(a)sin(b)

A bag has 4 red marbles, 12 blue marbles and 6 yellow marbles. What is the probability of picking a yellow marble, replacing it, and then picking a blue marble?a) 1/18
b) 18/121
c) 15/22
d) 22/131

Answers

Probability of picking a yellow marble = no of yellow marbles/total number of mables = 6/(4 + 12 + 6) = 6/22 = 3/11
Probability of picking a blue marble = 12/22 = 6/11

Probability of picking a yellow marble and a blue marble = 3/11 x 6/11 = 18/121

What is the product? (X+1)(x+4)