Mixed numbers and improper fractions are often the result of measurements or calculations.

Answers

Answer 1

Answer: It is calculations because with measurements you would just put a decimal. The calculator uses improper fractions.

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During your first week of training for a marathon, you run a total of 10 miles. You increase the distance you run by twenty percent. How many miles do you run during your twelfth week of training?

A group of campers hiked for 5 3/4 hours today and 6 3/4 hours yesterday. How many hours did they hike in all?

Answers

First you can turn the fractions into improper fractions.
5 3/4 = 23/4 6 3/4= 27/4
Add numerators, denominators stay the same.
23 + 27= 50
50/4
You can either leave it or simplify
Simplified:
50/4 = 12 1/2
:)

Final answer:

The campers hiked for a total of 12 1/2 hours. This was calculated by adding the whole numbers and the fractions separately and then combining the results.

Explanation:

This problem is an example of addition of fractions. To find the total number of hours that the campers hiked, we add the hours for both days. They hiked for 5 3/4 hours today and 6 3/4 hours yesterday. We add these together by firstly adding the whole numbers together, 5+6 equals 11. Then, add the fraction part, 3/4 + 3/4, which is 1 1/2. Combining the whole numbers with the fraction's sums to 12 1/2 hours. Thus, the campers hiked for 12 hours and 30 minutes in total.

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How do you do 81x^2=49

Answers

$81x^2=49\ \ \ \ /:81\n\nx^2=(49)/(81)\n\nx=\pm\sqrt(49)/(81)\n\nx=-(7)/(9)\ \vee\ x=(7)/(9)$

Find the zeros of the following polynomial.
3x3 + 9x2 - 12x

Answers

x = 4
x = -1
x = 0

Equation at the end of step 1 :

((3 • (x3)) - 32x2) - 12x = 0
Step 2 :

Equation at the end of step 2 :

(3x3 - 32x2) - 12x = 0
Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

3x3 - 9x2 - 12x = 3x • (x2 - 3x - 4)

Trying to factor by splitting the middle term

4.2 Factoring x2 - 3x - 4

The first term is, x2 its coefficient is 1 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -4

Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .

-4 + 1 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
x2 - 4x + 1x - 4

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
1 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-4)
Which is the desired factorization

If you factor 3x from the expression, you have

$3x^3+9x^2-12x=3x(x^2+3x-4)$

So, we have

$3x(x^2+3x-4)=0 \iff 3x=0\lor x^2+3x-4=0$

We easily have

$3x=0\iff x=0$

So, one solution is x=0.

The other solutions depend on the quadratic equation:

$x^2+3x-4=0 \iff x=-4 \lor x=1$

So, the solutions are $x=-4,\ 0,\ 1$

A painter built a ladder using 18 rungs. The rungs on the ladder were 5.7 inches apart and 1.1 inches thick. What is the distance from the bottom of the lowest rung to the top of the highest rung?

Answers

The distance from the bottom of the lowest rung to the top of the highest rung 116.7 inch

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total rungs = 18

distance between rungs = 5.7 inch

thickness = 1.1 inches

So, the distance from the the lowest rung to top of highest rung is

=18* 5.7 + 17* 1.1

=116.7 inch

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18(1.1)+18(5.7)
18.8+102.6
121.4
The distance is 121.4 inches

Benito had 10 days of vacation. he spent 1/5 of his vacation fishing. he spent 30% of his vacation at soccer camp. he spent the rest of the time at the beach. what percent of his vacation did benito spend at the beach?