All categories

2 years ago

Roadstone Limited can resurface 7/8km of a road in a day. How many days will it take

Mathematics

1 answer:

wariber [46]2 years ago

7 0

Answer:

Step-by-step explanation:

Let x be the number of days that it will take.

7/8 km per 1 day

14 km per x day

We have to solve the equation:

$\frac{x}{1} =\frac{14}{\left( \frac{7}{8} \right) }$

$\Longrightarrow x=14\times \frac{8}{7} =2\times 8=16$

You might be interested in

Suppose in a math class of 22 students, 14 are boys and 8 are girls. On the final exam, 4 boys and 6 girls made an A grade. 1) I

DerKrebs [107]

Answer:

1 is A 2 Is B

Step-by-step explanation:

I hope this helps

5 0

3 years ago

What is the factorization of 729^15+1000?

igomit [66]

Answer:

The factorization of $729x^{15} +1000$ is $(9x^{5} +10)(81x^{10} -90x^{5} +100)$

Step-by-step explanation:

This is a case of factorization by sum and difference of cubes, this type of factorization applies only in binomials of the form $(a^{3} +b^{3} )$ or $(a^{3} -b^{3})$ . It is easy to recognize because the coefficients of the terms are perfect cube numbers (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of $729x^{15} +1000$ by using the sum and difference of cubes factorization.

1.) We calculate the cubic root of each term in the equation $729x^{15} +1000$ , and the exponent of the letter x is divided by 3.

$\sqrt[3]{729x^{15}} =9x^{5}$

$1000=10^{3}$ then $\sqrt[3]{10^{3}} =10$

So, we got that

$729x^{15} +1000=(9x^{5})^{3} + (10)^{3}$ which has the form of $(a^{3} +b^{3} )$ which means is a sum of cubes.

Sum of cubes

$(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})$

with $a= 9x^{5}$ y $b=10$

2.) Solving the sum of cubes.

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )$

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)$

8 0

3 years ago

During an experiment, Aika measured the time it took for a ball to roll down a ramp set at an angle. She measured that it took 1

schepotkina [342]

Answer:

11.725%

Step-by-step explanation:

Given that :

True value = 0.904 seconds

Measured time = 1.010 seconds

Experimental error :

(|measured value - True value | / true value) * 100%

(|1.010 - 0.904| ÷ 0.904) * 100%

= 0.106 / 0.904 * 100%

= 0.1172566 * 100%

= 11.725%

4 0

3 years ago

Read 2 more answers

Yellow cab taxi charges $3.00 flat rate and $0.65 per mile. If Katie has no more than $10 to spend. How many miles can she trave

Alekssandra [29.7K]

Answer:

0.65+0.65=1.30+0.65=1.95+0.65=2.60

Step-by-step explanation:

well katie if katie wants to spend 3.00 she would have to do add it 4 times and it will be 2.60 and she would save 0.40 cents but if she adds it again it would be 3.25.

6 0

3 years ago

You and three friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill

Lunna [17]

Answer:

30 that singular tickets for each friend and if your asking for total it would be 120. :)

Step-by-step explanation:

They paid 100 but they had a 20$ off coupon, this means the orignial total would be $120 so 120 divided by 4 (there's four people) = $30 each :)

hope this helped

5 0

3 years ago