A small squad of soldiers came to a
river they had to cross. The bridge
was damaged and the water was too
cold. Everyone thought there was no
hope for them to get to their dinner
on time. Just then, Officer Bill saw
two boys on a boat, but the boat was so small that the most it
could hold was only one soldier or only two boys.
All the soldiers got across the river using this boat. How did
they do it?

Answer:

x = 10

y = 15

Step-by-step explanation:

5x − 4y = −10  ⇒  ( 1 )

y = 2x − 5     ⇒ ( 2 )

Let us find the value of x.

For that, we can replace y with ( 2x - 5 ).

Let us take equation 1.

5x − 4y = −10

5x - 4 (  2x − 5 ) = -10

5x - 8x + 20 = -10

-3x = -20 - 10

-3x = - 30

Divide both sides by ( -3 ).

x = 10

And now let us find the value of y.

Let us take equation 2.

y = 2x − 5

y = 2 × 10 - 5

y = 20 - 5

y = 15

Answer:

X=10

Step-by-step explanation:

5x-4y=-10.....1

y=2x-5......2

sub 2 into 1

5x-4(2x-5)=-10

5x-8x+20=-10

5x-8x=-10-20

-3x=-30

x=10

sub x=10 into 2

y=2(10)-5

y=20-5

y=15

Answer:

[D] 1/14

Step-by-step explanation:

Given that:

What is the probability of picking an orange marble and flipping tails?

Solution:

First let see how many orange marbles are there:

As we can see there is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7.

Now let see how many side a coin have:

As we can see the probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total.

Now multiply both together:

(1/7)× (1/2) = (1×1)/(7×2) = 1/14

This represents the probability of getting an orange marble and flipping tails.

In additionally 1/14 can't be simplify anymore.

Kavinsky

Answer:

[D] 1/14

Step-by-step explanation:

Knowing that there are 5 purple marbles, 1 brown marble, 1 orange marble. Since, on the given question all we need to know is the total marbles and the orange marbles.

Which the probability is 1/7

Now for the coin.

Knowing that there are two sides on a coin

Heads and tails (1/2)

Which is only 1/2 also known as 50% probability.

Now multiply straight across:

1/2 × 1/7

⇒ 1 × 1 = 1

⇒ 2 × 7 = 14

Thus, the answer is 1/14

can't be farther simplify.

[RevyBreeze]

Answer:

$316.8

Step-by-step explanation:

9 x 44 = 396

396 × 0.80 = $316.8

or

396 * 0.20 = 79.2

396 - 79.2 = $316.8

Based on the marginal revenue function for the clothing manufacturer, the total revenue from selling 60 suits is $1,440.

The marginal revenue function of 30 - 0.2x is the differentiated revenue function.

Performing an integration will therefore give us the revenue function as:

= 30x - 0.1x²

Now that we have the revenue function and know that x = 60 suits, the revenue is:

= (30 x 60) - (0.1 x 60²)

= 1,800 - 360

= $1,440

Find out more on the revenue function at https://brainly.com/question/19755858.

Answer:

I think the answer is: y = 0.5x^2 + 4x + 6, <3

Step-by-step explanation:

Answer:

25 x D = Y

Step-by-step explanation:

Example: Say he reads for three days a week.

25 x 3 = 75

or 6 days

25 x 6 = 150

or 4

25 x 4 = 100

Answer:

[tex]\boxed{\dfrac{1}{2} = m}[/tex]

Step-by-step explanation:

Given equation:

[tex]\dfrac{3}{4} = m + \dfrac{1}{4}[/tex]

Step-1: Subtract 1/4 both sides

[tex]\dfrac{3}{4} = m + \dfrac{1}{4}[/tex]

[tex]\dfrac{3}{4} - \dfrac{1}{4} = m[/tex]

[tex]\dfrac{2}{4} = \boxed{\dfrac{1}{2} = m}[/tex]

Answer: The answer is B:350

Step-by-step explanation:

edge

Answer:

B

Step-by-step explanation:

Got it right

Its counting by odd numbers

3, 5, 7, 9, 11, 13, 15, 17, 19, 21

5,8,13,20,29,40,53,68,85,104,125

Answer:

40,53,68,85,104,125,148, 173, 200, 229

        *basically you write the function in its simplest term where you cannot

          simplify it further

So:

     [tex]30x^3+10x^2 = 10(3x^3+x^2) = 10x^2(3x+1)[/tex]

Answer:  [tex]30x^3+10x^2[/tex] when factorized ⇒ [tex]10x^2(3x+1)[/tex]

Hope that helps!

Answer: 8h(2gh - i + 3)

Step-by-step explanation:

factorise 8 out as 8 is a comon factor of 16, 8 and 24

factorise h out together with 8 because all of them have h

Answer:

48°

Step-by-step explanation:

Vertically opposite angles are equal. Angle 7 is vertically opposite to angle 5.

Answer:

The measure of angle 7 is 48 degrees

Step-by-step explanation:

Angle 5 and 7 are opposite angles. Opposite angles are congruent.

Answer:

∠KPL = 80°

Step-by-step explanation:

As KM is perpendicular to KP, this means that KM is the diameter of the circle, as the tangent of a circle is always perpendicular to the radius.

The angle at the circumference in a semicircle is always a right angle.  So if KM is the diameter then ΔKLM is a right triangle with ∠KLM = 90°

The sum of the interior angles of a triangle is 180°.

Therefore, ∠KLM + ∠KML + ∠LKM = 180°

As ∠KLM = 90° and ∠KML = 50°

⇒ 90° + 50° + ∠LKM = 180°

⇒ ∠LKM = 40°

As ∠PKM = 90° then

⇒ ∠PKL = 90 - ∠LKM

              = 90 - 40

              = 50°

Tangents from a common point to a circle are always equal in length, so as PK and PL are tangents from point P, then PK = PL

Therefore, ΔLPK is an isoceles triangle and so its base angles ∠PKL and ∠PLK will be equal.

Since ∠PKL = 50° then ∠PLK = 50°

Again, as the sum of interior angles of a triangle is 180°:

⇒ ∠KPL + ∠PKL + ∠PLK = 180°

⇒ ∠KPL + 50° + 50° = 180°

⇒ ∠KPL = 80°

Answer: D

Step-by-step explanation:

[tex]\log _{3}\left(2 x y^{3} z^{5}\right) \\ =\log _{3} 2+\log _{3} x+\log _{3} y^{3}+\log _{3} z^{5}[/tex]

[tex]\left(\because \log _{c}(a \cdot b)=\log _{c} a+\log _{c} b\right)[/tex]

[tex]=\log _{3} 2+\log _{3} x+3 \log _{3} y+5 \log _{3}z \rightarrow \left(\because \log _{c} a^{b}=b \log _{c} a\right)[/tex]

Therefore, Option D is the correct answer

Answer:

  8/9

Step-by-step explanation:

A fraction that has denominator factors of 2 or 5 (only) will be finite in length. It will not be a repeating decimal fraction. This eliminates choices B and D.

The number of 9s in the denominator of a repeating decimal fraction will be equal to the number of repeating digits. The fraction 0.8888... has one repeating digit (8), so it can be written as 8/9.

_____

Additional comment

The fraction 80/99 will be the 2-digit repeating decimal 0.808080...

The fraction 1111/1250 evaluates to 0.8888, a 4-digit decimal fraction that does not repeat.

__

A fraction such as 0.142857...(6-digit repeat) can be written as ...

  124857/999999 . . . . denominator has 6 nines

This fraction reduces to 1/7.

[tex] \begin{gathered}\begin{gathered}\boxed{\begin{array}{}\sf { \rightarrow \: \red{i \: dont \: know \: anymore}}\end{array}}\end{gathered} \end{gathered}[/tex][tex] \begin{gathered}\begin{gathered}\boxed{\begin{array}{}\sf { \rightarrow \: \red{i \: dont \: know \: anymore\:\color{green}☘}}\end{array}}\end{gathered} \end{gathered}[/tex]

[tex] \color {blue} \rule {1pt} {100000pt} [/tex]

Answer:

{ - 4, - 1, 2, 5 }

Step-by-step explanation:

the range is the values of y from the ordered pairs in the relation

range = { - 4, - 1, 2, 5 }

Answer:

No solution

Step-by-step explanation:

(I am going to use substitution)

2x−10y=−2

y=x/5−1

(Substitute the y into the other problem)

2x - 10 (x/5 -1) = -2

2x - 2x + 10 = -2

10 = -2

No solution

Hope this helps :)

Answer:

A

Step-by-step explanation:

B could be any number, and given that there is no sum, you cannot possibly determine what number B is.

Answer:

A

Step-by-step explanation:

An infinite solution has both sides equal.

In question 1,  the left part is equal to the right part

The number of miles planned on Saturday is 19 milea

This means the sequence where the difference between one term and the next term is a constant.

In this case, the following information are illustrated:

Sunday: 1 miles

Monday: 4 miles

Tuesday: 7 miles

Wednesday : 10 miles

Thursday: 13 miles

Friday: 16 miles

As we can see there's a difference of three between them. This can be seen as:

= 4 miles - 1 mile

= 3 miles

Therefore, the number planned on Saturday will be:

= Friday + 3 miles

= 16 miles + 3 miles

= 19 miles

Learn more about sequence on;

brainly.com/question/6561461

#SPJ1

Check the picture below.

Answer:

Step-by-step explanation:

Since the prices increase at a monthly rate of 0.1% per month. To find the percentage do they increase a year, we need to convert 0.1% to a decimal.

So here how we do it. We put 0.1 percent on the numerator because it a small number which is what we want over 100 like this:

[tex]\frac{0.1}{100}[/tex]

Now when plugging this into your calculator you get:

0.001

.So what do we do with this number?

We now times it by 12 like this:

0.001 x 12 which gives us:

0.012

So we can convert this back to a percentage by moving the decimal by 2 places to the right which gives us 1.2%.

Another way we could of done this without doing the long way to figure it out is by multiplying 0.1 times 12 which still gives us 1.2%

Answer:

5^(3)i^(9)= five cubes times i to the power of 9=125i

Step-by-step explanation:

Raise 5 to the power of 3

rewrite i9 as (i^4)2^i

so, you get 125((i^4)^2i)

i^4=1

125(1^2i)

125i

126

A percentage is a proportion of some whole number. There are 2 ways to find percentages. Firstly, you can multiply by a decimal, or you can use a shortcut.

Multiplying with Decimals

You can always rewrite percentages as decimals. To do this move the decimal point 2 digits to the left. This means that 90% becomes 0.90. Then multiply this decimal by the whole number to find the correct percentage.

Shortcut

Because 90% is a multiple of 10%, we can use a shortcut. First off, find 10% of 140. To find 10% of any number, move the decimal 1 digit to the left. This means 10% of 140 is 14.0. Next, 90% is 10% less than 100%. So, subtract 10% from 140 to find 90%.

Answer:

126

Step-by-step explanation:

We need to find 90% of 140.

90% is the same as 0.9 or 9/10.

140 can be written as 14 x 10.

Multiply 14 x 10 with 9/10.

⇒ 14 x 10 x 9/10

[The 10 and 1/10 cancel out by cross multiplication]

⇒ 14 x 9

⇒ 126

Answer:

25,515

Step-by-step explanation:

35 x 27 x 27

945 x 27

25,515

Answer:

49ft²

Step-by-step explanation:

A=bh

A=bh=9.8·5=49

Answer:

180-a-5

180-43-5

180-48

180-48=132

c=132