MATHEMATICS HIGH SCHOOL

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She receives a delivery of 4 tons of wood each day. The deliveries can continue for 100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

Answers

Answer 1
Answer:

Answer:

Astrid needs 280 tons of wood to build ships that can accommodate 2100 sailors

Step-by-step explanation:

Here, in this question, we want to know the amount of wood needed by Astrid to accommodate 2100 sailors.

From the question, we can see that 40 tons are needed to build a ship that can accommodate 300 sailors.

Now, we want to make a calculation for the amount of wood needed for 2100 sailors.

Let’s have it this way;

40 tons = 300 sailors

x tons = 2100 sailors

So mathematically,

x * 300 = 2100 * 40

x = (2100 * 40)/300

x = 280 tons of wood

We can see that 280 tons of wood are needed to build ships that can accommodate 2100 sailors
Answer 2
Answer:

Answer:

280 tons of wood

Step-by-step explanation:

Khan

Related Questions

Question 8 of 20 Select the best answer for the question.8. Simplify 2a2b (4a2 3ab2 ab)4654 32a bBackNextReview Answer Selections
On each of Maggie's bird-watching trips, she has seen at least 24 birds. If she has taken 4 0f these trips each year over the past 16 years, at least how many birds has maggie seen
The fraction 9/15 is an equivalent fraction of 6/20 1/2 3/5​
Solve 3/4z-1/3=2/3z+1/5
Anna is going to play guitar in her school's annual concert. If she starts by practicing for one hour per day and increases the time by 30 minutes each day, how long will she practice on the seventh day? a. 140 minutes b. 210 minutes c. 240 minutes D. 300 minutes

Write 90 as a product of primes.
Use index notation where appropriate.

Answers

Answer:

2 × 3 × 3 × 5

Step-by-step explanation:

2 x 3 = 6

            6 x 3 = 18

                         18 x 5 = 90

A 109 ft tree casts a shadow that is 130 ft long. what is the angle of elevation of the sun?

Answers

The angle of elevation of the sun is approximately 40 degrees

The scenario forms a right angle triangle.

The height of the tree is the opposite side of the right angle triangle formed .

The shadow casted on the ground is the adjacent side of the triangle.

Therefore, using trigonometric ratio, the angle of elevation can be found as follows:

height of the tree = 109 ft

length of the shadow = 130 ft

let

the angle = ∅

tan ∅ = opposite / adjacent

tan ∅ = 109 / 130

∅ = tan⁻¹ 0.83846153846

∅  = 39.978520842

∅ ≈ 40°

learn more on trigonometry here: brainly.com/question/24303045
Answer: 40°


Explanation:

\tan(\theta) = \cfrac{109}{130}

\theta = 40 \textdegree


The Wise Orange wonders about the purpose of knowing the degree of elevation. 

Simplify: -m(7m + 3) – 4m2
A. 12m+4
B. -11m2-3m
C. -11m2+6m
D.5 m + 4 ​

Answers

Answer:

- m(7m + 3) - 4 {m}^(2) \n - 7m^(2) - 3m - 4 {m}^(2) \n - 11 {m}^(2) - 3m

The scale on a map is 1/4 in : 18 mi. The state capital is 252 miles from the border. How far is the state capital from the border on the map?

Answers

Hey there, x:252 miles, 1/4:18=x:52, from there we cross mutliply 18*x=1/4*252=18x=63, x=63/18=7/12=3.5. So, the anwer is 3.5 inches.

Final answer:

Using the given scale ratio on the map and setting up a proportion with the real distance to the capital, then solving, we get that the state capital is represented as being 3.5 inches from the border on this map.

Explanation:

The subject of this question is applied mathematics, specifically ratios. The scale on the map is given as 1/4 in : 18 mi. This means that for every 1/4 inch on the map, it represents 18 miles in reality. To figure out how far the capital is from the border on the map, you'll implement this scale ratio.

First, you make a fraction with the scale, with the real distance (18 miles) on top and the map distance (1/4 inch) on the bottom. Then, you set up a proportion with this fraction equal to another fraction consisting of the real distance to the capital on top (252 miles) and an unknown distance on the map at the bottom, which we can represent as x.

The fraction then looks like this: 18/0.25 = 252/x. Solving for x gives you x = (0.25*252)/18 = 3.5. Therefore, the state capital is represented as being 3.5 inches from the border on this map.

Learn more about Map Scale here:

brainly.com/question/24486949

#SPJ2

LaToya decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a beginner's fee of $100 and a monthly fee of $38. If x represents the number of months that LaToya is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time:100 + 38x = C

LaToya has allocated a maximum of $404 to spend on her gym membership. Which number line shows the possible number of months that LaToya can be a member of the gym?

Answers

First we know that the maximum of money to spend is $404. Then we will put it in equation:
100+38 x=404
38 x=404-100
38 x=304
x= 304:38
x= 8
So the answer is 8 months.

Answer:

8 months

Step-by-step explanation:

Please help very urgent will give brainliest

Answers

Answer: x= 45 degrees

Step-by-step explanation: The angle of a square is 90 degrees and it already tell you the other side is 45 degree so 90 - 45 = 45. So that means the answer is 45 degrees.

Since the sum of all the angles of any triangle is 180 degrees, just add 90 and 45 (the answer being 135), then subtract 135 from 180 (answer is 45).

Therefore, the missing answer is 45 degrees.
Other Questions
Solve for x: 1 < x + 3 < 4
Caleb had to share 3 1/4 boxes of supplies with his 12 classmates. What fraction of a box does each student receive?
HELP ASP!!!!!! The explicit rule for a sequence and one of the specific terms is given. Find the position of the giventerm.f(n) = 1.25n +3.75; 2020 is theth term.
Help i dont understand this.