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Alex Ar [27]
2 years ago
7

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She rece

ives 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?
Mathematics
1 answer:
Lady bird [3.3K]2 years ago
8 0

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

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dmitriy555 [2]

Answer: 4.5 pounds.

Step-by-step explanation:

Given : Weight of original pipe =45 pounds

Weight of first piece = 18 pounds

Then, Weight of  other piece = 45- 18 =  27 pounds

Length of first piece = 3 feet

Let x be the length of other piece.

As length is directly proportional to weight.

Then, \dfrac{x}{27}=\dfrac{3}{18}

\Rightarrow\ \dfrac{x}{27}=\dfrac{1}{6}\\\\\Rightarrow\ x=\dfrac{1}{6}\times27 =4.5

Hence, the he length of the other piece = 4.5 pounds.

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Madison randomly surveyed 50 students at her high school about their favorite color, and 18 students chose blue. Madison conclud
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Select all decimals that are equivalent to ( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 1 10 ) + ( 5 × 1 100 ) . A. 92.35 B. 920.350 C. 902.
erastova [34]

This question is not written correctly

Complete Question

Select all decimals that are equivalent to ( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 1/10 ) + ( 5 × 1/100 ) . A. 92.35 B. 920.350 C. 902.35 D. 92.350 E. 920.35 F. 920.035

Answer:

E. 920.35

Step-by-step explanation:

( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 1/10 ) + ( 5 × 1/100 )

Step 1

(900) + (20) + (3/10) + (5/100)

Step 2

900 + 20 + 0.3 + 0.05

Step 3

920.35

Therefore, the answer = 920.35

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Anna set up a lemonade stand on her block over the summer. She recorded each day’s high temperature and the number of cups of le
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Answer:

Residual = -2

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Step-by-step explanation:

We are given a linear regression model that relates daily high temperature, in degrees Fahrenheit and number of lemonade cups sold.

y = -34+ \frac{3}{5}  x

Where y is the number of cups sold and x is the daily temperature in Fahrenheit.

Residual value:

A residual value basically shows the position of a data point with respect to the regression line.

A residual value of 0 is desired which means that the regression line best fits the data.

The Residual value is calculated by

Residual = Observed value - Predicted value

The predicted value of number of lemonade cups is obtained as

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Residual = Observed value - Predicted value

Residual = 21 - 23

Residual = -2

The negative residual value indicates that the data point lies below the regression line.

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