Astrid is in charge of building a new fleet of ships. Each ship requires 404040 tons of wood, and accommodates 300300300 sailors. She receives a delivery of 444 tons of wood each day. The deliveries can continue for 100100100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 210021002100 sailors. What is the number of ships Astrid can build, assuming she receives the maximum possible amount of wood?

Answer:

2√5 ≈ 4.47214

Step-by-step explanation:

You can draw a triangle with corner points (-1,2); (1,2) and (-1,-2), and the distance will be the hypotenuse, use pythagoras to solve:

√(2²+4²) = √20 = 2√5

Answer:

4.472 units

Step-by-step explanation:

1-(-1)=1+1=2

2-(-2)=2+2=4

2²+4²=c²

4+16=c²

20=c²

c=√20

c=4.472 units

5(x + 2) is the product of a constant factor 5 and a 2-term factor (x + 2 )

It gets the result:   5(x+2) = 5•x + 5•2 = 5x + 10

Answer:

[tex]3\frac{1}{5}[/tex]

Step-by-step explanation:

there are 3 5s in 16, and 1 remainder.

So, you write the remainder in the numerator, and 3 as a whole number.

To check, you can do:

5✖️3=15+1=16

Answer:

(a) The median estimate is 450.

(b) The first and third quartiles are 300 and 750 respectively.

(c) The interquartile range is 450.

(d) The particular value which is less than 150 or it is more than 1200, is considered as an outlier.

(e) Yes, there is one outlier in our data which is the value of 1,500.

(f) The distribution is positively skewed.

Step-by-step explanation:

We are given that the box plot shows the undergraduate in-state tuition per credit hour at four-year public colleges. 0, 300, 600, 900, 1,200, 1,500.

(a) As we can see in the box plot that the middlemost data lies between 300 and 600, that means;

Median is given by the average of the two numbers, i.e;

             Median =  [tex]\frac{300+600}{2}[/tex]

                           =  [tex]\frac{900}{2}[/tex]  = 450

So, the median estimate is 450.

(b) As we know that the first quartile represents 25% of the data values and the third quartile represents 75% of the data values.

So, from the box plot given; we can observe that the first quartile, [tex]Q_1[/tex] = 300 and the third quartile lies between the values of 600 and 900, i.e;

Third quartile, [tex]Q_3[/tex] = [tex]\frac{600+900}{2}[/tex]

                             =  [tex]\frac{1500}{2}[/tex]  = 750

So, the first and third quartiles are 300 and 750 respectively.

(c) The interquartile range is given by the following formula;

          Interquartile range = Third quartile - First quartile

                                          =  [tex]Q_3-Q_1[/tex]

                                          =  750 - 300 = 450

(d) From the box plot; it is clear that if the particular value is less than 150 or it is more than 1200, then it is considered as an outlier.

(e) Yes, there is one outlier in our data which is the value of 1,500.

(f) The distribution is positively skewed because the more values are on the right side of the curve and it skewed towards the right.

Answer:

solve for b

1/3 - 3x/6 = -1/6

3y + 5 + 2 + y = 2y + 4

x'2 + 2x - 8 = 0

I think this is correct.

Answer:

x = 8 units.

Step-by-step explanation:

We'll begin by calculating the length of the two squares attached to the triangle.

From the question given above, the areas of the two square are the same i.e 32 units². Therefore, the length of the two square will be the same.

Now, we shall determine the length of the square as follow:

Area of square (A) = 32 units²

Length (L) =?

Area of square (A) = Length (L) × Length (L)

A = L × L

A = L²

32 = L²

Take the square root of both side

L = √32 units

Therefore, the length of the square is √32 units. This implies that the length of both side of the triangle is √32 units

Now, we shall determine the value of x using pythagoras theory.

From the diagram above we can see that x is the Hypothenus i.e the longest side. Thus, the value of x can be obtained as follow:

x² = (√32)² + (√32)²

x² = 32 + 32

x² = 64

Take the square root of both side

x = √64

x = 8 units.

Therefore, the value of x is 8 units.

A relation is a function if each element of the domain is paired with exactly one element of the range. ... If given a table, or a set of ordered pairs, you can look to see if any value of the domain has more than one corresponding value in the range.

tbh google

Answer:

B

Step-by-step explanation:

2 units to right and 1 up

You find the litres of petrol you want and go up until you find where the line crosses this point and then see how far you can travel on the left so

a is 15km

and b is 39km

Answer:

Alisa practiced for 240 minutes (4 hours). In total, they practiced for 288 minutes (4.8 hours).

Step-by-step explanation:

If James practiced for 48, and Alisa practiced 5 times as long, then we would multiply 48 by 5 (240 minutes).

If we want to find how many minutes in total they practiced, then we would add 240 minutes (Alisa's practice time) and 48 minutes (James' practice time) together, which would equal 288 minutes (4.8 hours).

Equation: y=48+x

Answer:

x = 2

Step-by-step explanation:

Solve for x:

12 - 3 x = 6

Hint: | Isolate terms with x to the left hand side.

Subtract 12 from both sides:

(12 - 12) - 3 x = 6 - 12

Hint: | Look for the difference of two identical terms.

12 - 12 = 0:

-3 x = 6 - 12

Hint: | Evaluate 6 - 12.

6 - 12 = -6:

-3 x = -6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -3 x = -6 by -3:

(-3 x)/(-3) = (-6)/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

x = (-6)/(-3)

Hint: | Reduce (-6)/(-3) to lowest terms. Start by finding the GCD of -6 and -3.

The gcd of -6 and -3 is -3, so (-6)/(-3) = (-3×2)/(-3×1) = (-3)/(-3)×2 = 2:

Answer:  x = 2

Answer for the first box = -31.67

Answer for the second box = 17.22

===============================================

Work Shown:

Plug in F = -25 and solve for C

F = (9/5)C+32

-25 = (9/5)C + 32

(9/5)C + 32 = -25

(9/5)C = -25-32 ... subtract 32 from both sides

(9/5)C = -57

C = (5/9)*(-57) ... multiply both sides by 5/9, its the reciprocal of 9/5

C = -31.667 approximately

C = -31.67 rounding to 2 decimal places

This shows that -25 degrees F converts to roughly -31.67 degrees C.

-----------------

Repeat the same basic steps, but now use F = 63

F = (9/5)C+32

63 = (9/5)C+32

(9/5)C+32 = 63

(9/5)C = 63-32

(9/5)C = 31

C = (5/9)(31)

C = 17.222 approximate

C = 17.22

----------------

If the temperature ranges from -25 degrees F to 63 degrees F, then this converts to the range of roughly -31.67 degrees C to 17.22 degrees C

Answer:

[tex]\Huge \boxed{300 \° }[/tex]

Step-by-step explanation:

A revolution is 360 degrees.

5/6 of a revolution is 5/6 of 360 degrees.

5/6 × 360 = 300

Answer:

Hey there!

The census never asks any questions about D. Spending Habits.

Let me know if this helps :)

Answer:

Your answer will be D

Answer:

4 full pages or 5 to use all the leaves

Step-by-step explanation:

26 leaves

6 per page

26/6 ≈ 4.33

4 full pages or 5 for all leaves

Answer:

this is a hard one can u explain it more

Step-by-step explanation:

Answer: Hi!

An exponent is is a number that represents how many times a number is being multiplied by itself. It is shown as either a small number positioned on the top tight of a term or the symbol ^ between the term and the exponent. For example, if you had 4 to the power of 2, you would multiply 4 by itself 2 times. 4 * 4 is equal to 16.

Hope this helps!

Answer:

6

Step-by-step explanation:

Let thee number be x

Square of number: x²

Product of 6 and square of number = 6 *x² = 6x²

Expression: 6x² + 15

Coefficient of x² = 6

The value of the coefficient will be 6 for the expression.

A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

Let thee number be x

Square of number: x²

Product of 6 and square of number

[tex]= 6 \times x^2 = 6x^2[/tex]

Expression will be

[tex]6x^2 + 15[/tex]

Coefficient of x² will be = 6

hence the value of the coefficient will be 6 for the expression.

To know more about Coefficient follow

https://brainly.com/question/4219149

#SPJ2

Answer:

214.6

Step-by-step explanation:

214.557 -> 214.6

Two hundred fourteen and five hundred fifty-seven thousandths to the nearest tenth​ will be 214.6.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

Two hundred fourteen and five hundred fifty-seven.

The expression in mathematical form thousandths to the nearest tenth​, we have

⇒ 514.557

⇒ 214.6

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

If you double the amount of fluid ounces, then the amount of cups will double as well. This is a true statement.

Consider the statement "there are 8 fluid ounces in one cup" to be written as the equation

8 fluid ounces = 1 cup

We can multiply both sides by 2 to get

16 fluid ounces = 2 cups

We must multiply both sides by the same number to keep the equation the same (keep things balanced).

Answer:

Step-by-step explanation:

6A = 60°

6B = 34°

Answer:

6a) 60 degree

6b) 27 degree

7a) b=60 degree and a=30 degree

7b) x=36 degree and x=36 degree

8a) 95 degree

8b) 100 degree

i posted the 9 th one and all the above ones with proper workout with your other question

Step-by-step explanation:

Answer:

8.4 grams

Step-by-step explanation:

So if there are 1.2 grams of protein in a half cup serving, and you're trying to find how many grams in a 3.5 serving. Find the number of halves in 3.5

That would be 7, because 7 multiplied by 1/2 is 3.5

So then multiply 1.2 with 7

= 8.4 grams

Answer: y =[tex]\frac{ax - 2}{9x}[/tex]

Step-by-step explanation: look for the lcm

a=[tex]\frac{9xy + 2}{x}[/tex]

cross multiply

ax =9xy + 2

ax - 2 = 9xy

divide both sides by 9x

[tex]\frac{ax - 2}{9x} = \frac{9xy}{9x}[/tex]

y=[tex]\frac{ax - 2}{9x}[/tex]

Answer:

What are the list of answers for this question? That would kind of help narrow some of my answers down.

Step-by-step explanation:

Answer:

C. 64

Step-by-step explanation:

x° = 1/2[(360° - 2*58°) -2*58°]

x° = 1/2[(360° - 116°)- 116°]

x° = 1/2[244°- 116°]

x° = 1/2[128°]

x° = 64°

x = 64

Answer:

               [tex]\bold{m\ =\ \dfrac5{(p-r)n}}[/tex]

Step-by-step explanation:

                                             [tex]\bold{r+\dfrac5{mn}\ =\ p}\\\\ {}\quad-r\qquad-r\\\\{}\ \ \bold{\dfrac5{mn}\ =\ p-r}\\\\{}\ ^{_\times}(mn)\quad ^{_\times}(mn)\\\\{}\quad\bold{5\ =\ (p-r)^{_\times}(mn)}\\\\\div(p-r)\quad\div(p-r)\\\\{}\ \ \bold{\dfrac5{p-r}\ =\ mn}\\\\{}\quad \ \div n\quad\ \ \div n\\\\\bold{\dfrac5{(p-r)n}\ =\ m}[/tex]

If you mean (r+5)/mn then:

[tex]\bold{\dfrac{r+5}{mn}\ =\ p}\\\\{}\ ^{_\times}(mn)\quad ^{_\times}(mn)\\\\{}\ \bold{r+5\ =\ pmn}\\\\\div(pn)\quad\div(pn)\\\\{}\ \ \bold{\dfrac{r+5}{pn}\ =\ m}[/tex]

Answer:

The leading coefficient is 4

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Let's work this problem backwards. So, if he has y dollars left after spending 25% the second time or 3/4 of the money left. So, inverse it to get  [tex]\frac{4}{3}[/tex]y. Then, do the same for 20% or 4/5, then 4/3y * 5/4 = 5/3y

Answer:

Step-by-step explanation:

if m and n are irrational number then the product of mn sometimes rational and sometime irrational

ex: √5 *√2=√10 irrational

ex: √8*√2=√16=4 rational

b-y=|x|+3

explain why |x|+3≥|x+3|

absolute value of any number is always positive

x           |x|+3          ≥            |x+3|

1              4              =               4             in this case equal

2             5                                5

-2             5             ≥                 1             in this case |x|+3≥|x+3|

in case of negative value of x then |x|+3>|x+3|