4) A boat covers 25km upstream and 44km downstream in 9 hours. Also it covers 15 km upstream and 22 km downstream in 5 hours. Find the speed of boat in still water.

Answer:

Step by step: you need to divide the top and multiple by the bottom. 12 divided by 3 is 4, and 4 times 4 is 16

Answer:

16

Step-by-step explanation:

The formula to solve for this is [tex]\frac{is}{of}=\frac{percent}{100}[/tex]

Here the 12 is our "is", the "of" is the [tex]\frac{3}{4}[/tex] , and the "percent" is what we are solving for so we can replace it for "x"

So now replacing our values we have [tex]\frac{12}{\frac{3}{4} } =\frac{x}{100}[/tex]

Cross multiplying we get [tex](12)(100) = (x)(\frac{3}{4} )[/tex]

Which then simplifies to

Then multiplying both sides by 4 to get rid of the fraction we get 4800% = 3x

The we need to divide by 3 and we get 1600% = x

Now this is in a percentage, so we need to divide 1600 by 100 to turn it into a whole number which comes out to x = 16

Answer:

4

Step-by-step explanation:

i just answered it.

The value of the variable x will be 4. Then the correct option is B.

It is a polygon with four sides. The total interior angle is 360 degrees.

A quadrilateral with 90 degree angles.

If all the angles are right angle, then the quadrilateral should be either rectangle or square.

The lengths of the left and right sides are 10 and 2y + 4.

The lengths of the top and bottom sides are 18 and 10 + 2x.

If the adjacent side of the rectangle are same, then the rectangle will become square.

So, the quadrilateral is a rectangle.

Opposite sides of the rectangle are congruent.

Then the value of the variable x will be

10 + 2x = 18

       2x = 18 – 10

       2x = 8

         x = 8 / 2

         x = 4

The value of the variable x will be 4.

Then the correct option is B.

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Answer:

8n + 7 = 2n

Step-by-step explanation:

Answer:

950 People

Step-by-step explanation:

If you have 95% of 100 then it is 95, correct? So, if you have 95% of 1000, the it must be 950.

Just saying, it might be wrong but try it anyways... if it isnt right then im sorry.

Answer:

y= 4x +5

Step-by-step explanation:

Let's rewrite the equation so that it is in the form of y=mx+c, where m is the gradient and c is the y-intercept.

4x-y=1

y= 4x -1

parallel lines have the same gradients. Thus the gradient of the line is 4.

y=4x+c

To find c, substitute a pair of coordinate.

When x=-2, y= -3,

-3= 4(-2) +c

-3= -8 +c

c= 8 -3

c= 5

Thus, the equation of the line is y= 4x +5.

Answer:

its 23!

Step-by-step explanation:

18-7=11

5+7=12

11+12=23!

Answer:

B. 5/18

Step-by-step explanation:

We have to digits taking the 0, they are as follows:

1, 2, 3, 4, 5, 6, 7, 8, 9

In other words, there are 9 in total.

Odd are 5 (1, 3, 5, 7, 9)

Pairs are 4 (2, 4, 6, 8)

Now, we have that the probability of drawing an odd one would be: 5/9

and that also, already selected that number, there would be 8 in total.

Therefore, drawing another number that is even the probability would be: 4/8

So the final probability is:

(5/9) * (4/8) = 20/72, we simplify (divide by 4) and we have 5/18 left

In other words, the answer is B. 5/18

Answer:

b

Step-by-step explanation:

Answer:

cos θ = 4/5.

tan θ = 3/4.

Step-by-step explanation:

Given sin θ = 3/5, we can find the value for the other side of the right triangle.

Using the Pythagorean formula, we can derive the value of this other leg.

5² = 3² + x²

x = 4.

Since sin θ is O/H, the Hypoteneus is 5 and the Opposite side is 3. The Adjacent side is 4, which will be used when finding cos θ and tan θ.

cos θ= A/H --> cos θ = 4/5.

tan θ= O/A --> tan θ = 3/4.

BCGF is a quadrilateral, angles sum to 360 degrees.

B+C+G+F=360

B and G are right angles, formed by a radius and a tangent.  

90+C+90+F=360

C+F=180

C and F are supplementary.

2x + 146 + 4x + 238 = 180

6x + 384 = 180

6x = -204

x = -34

Answer: -34, second choice

Answer:

Step 1: Equation 1 can be multiplied by 2, Multiplying Equation 2 by 5

Step 2: divide by 21

Step 3: substitute 3 for y in one of the equations

Step 4: add 6

Step 5: divide both sides of the equation by 5

Step-by-step explanation:

The solution for the given set of equation 5x - 2y = -11  and -2x + 5y = 17 is  x = -1 and y = 3.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given set of equation is,

5x - 2y = -11       (1)

-2x + 5y = 17      (2)

Find the value of x from equation (2),

-2x + 5y = 17

2x = 5y - 17

x = (5/2)y -17/2

Substitute the value of x in equation (1),

5((5/2)y -17/2) - 2y = -11

25y/2 - 85/2 - 2y = -11

21y/2 = 63/2

y = 3

Substitute the value of y in equation (2) to get the value of x,

-2x + 15 = 17

x = -1

The value of x is -1 and y is 3.

The additive inverse for the x coefficient in equation (2) is 2x.

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In a symmetric histogram, you have the same number of points to the left and to the right of the median. An example of this is the distribution {1,2,3,4,5}. We have 3 as the median and there are two items below the median (1,2) and two items above the median (4,5).

If we place another number into this distribution, say the number 5, then we have {1,2,3,4,5,5} and we no longer have symmetry. We can fix this by adding in 1 to get {1,1,2,3,4,5,5} and now we have symmetry again. Think of it like having a weight scale. If you add a coin on one side, then you have to add the same weight to the other side to keep balance.

Answer:

-4 > 6

Step-by-step explanation:

So it would be -4 > 6 because you have 6 on the right, and 6 - 10 is -4, which is on the left.

Answer:

71.9 i think

Step-by-step explanation:

Answer:

The current weight of the octopus is:

[tex]w = \frac{14}{15}\,kg[/tex]

Step-by-step explanation:

The current weight is determine by addition and subtraction of rational numbers:

[tex]w = \frac{5}{6}\,kg + \frac{3}{10}\,kg -\frac{1}{5}\,kg[/tex]

[tex]w = \frac{50 + 18}{60}\,kg - \frac{1}{5}\,kg[/tex]

[tex]w = \frac{68}{60}\,kg - \frac{1}{5} \,kg[/tex]

[tex]w = \frac{17}{15}\,kg - \frac{1}{5}\,kg[/tex]

[tex]w = \frac{85-15}{75} \,kg[/tex]

[tex]w = \frac{70}{75}\,kg[/tex]

The current weight of the octopus is:

[tex]w = \frac{14}{15}\,kg[/tex]

Answer:

4.The product is greater that 3/8 and less than 7/2.

Step-by-step explanation:

The product of 3/8 and 7/2 is:

[tex]\frac{3}{8} * \frac{7}{2} \\\\= \frac{21}{16} = 1\frac{5}{16}[/tex]

This number is greater than 3/8.

It is greater than 1/8 but not less than 1/2.

This number is less than 7/2.

This number is greater than 3/8 and it is less than 7/2.

Hence, the correct options is 4.

Answer:

SOH CAH TOA

(Sine,opposite,Hypotenuse) - SOH

(Cosine, adjacent, Hypotenuse) - CAH

(Tangent,opposite,adjacent) - TOA

Step-by-step explanation:

Answer:

SOH CAH TOA

is the answer

Answer:

the third circle.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expression 1.01-1.005 gives the amount of money, in thousands of dollars, in Carter's savings account t years after he opens it What does 1.01 represent in this expression? Choose 1 answer Carter opened the savings account I year ago ⓢ Carter's savings account had $1,010 in it when he opened it. The amount of money in Carter's savings account increase by 1% each year.

1.01 ( 1.005 )^t

standard exponential equation is

y = a (b)^x

where a = initial value

comparing the two equations

we get

a = 1.01

so, it means 1.01 means Carters saving account had $ 1010 in it when it opened

Answer: The Answer Is 23

Step-by-step explanation:

Answer:

the answer is 23,

Step-by-step explanation:

i took the test and got it right!!!

Answer:

b = 5

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

12^2 + b^2 = 13^2

144+b^2 =169

Subtract 144 from each side

144-144+b^2 = 169-144

b^2 = 25

Take the square root on each side

sqrt(b^2) = sqrt(25)

b = 5

Answer:

B= 5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

497.25/19.5=25.50

Answer:

B. $25.50

Step-by-step explanation:

if Emilio worked for 19.5 hours to earn $497.25 then how much wldid he earn perhour? ylwhen you put this in equation form

19.5h=$497.25

1h=? (so you crisscross them)

so 1h×$497.25÷19.5h (hour is divided by itself=1)

so Emilio earned $25.50 per hour.

Answer:

Step-by-step explanation:

x + sqrt(400) = 50

x + 20 = 50

x = 30

Answer:

Is this what you needed?

Answer:

30 million

Step-by-step explanation:

i just spared my question to get the answer. it is 30 million. have a good day.

The estimated population in 2006 was 33 million.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round.

The exponential growth formula is:

Pn = Po × (1 + r)ⁿ⁻¹

Where:

Pn = the population at time n

Po = the population at time 0

r = the rate of growth

n = the number of years after time 0

In this case, Po = 26 million, n = 15 (2006 - 1991 = 15 years), and r can be calculated as follows:

Pn = 28 million

Po = 26 million

n = 15

r = (Pn - Po) / (Po × n)

r = (28 - 26) / (26 × 15)

r = 0.0077

Therefore, the population in 2006 can be calculated as follows:

P2006 = 26 × (1 + 0.0077)¹⁵

P2006 = 33.02 million

Therefore, the estimated population in 2006 was 33 million.

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Answer:

376.99 cm

Step-by-step explanation:

V=πr2h^3

Please consider the complete question.

A prism has a length of 9 millimeters, height of 3 and one-half millimeters, and width of 8 and one-half millimeters. What is the volume of the rectangular prism?

We know that volume of rectangular prism is product of its length, width and height.

[tex]V=\text{Length}\times\text{Width}\times \text{Height}[/tex]

[tex]V=9\text{ mm}\times8\frac{1}{2}\text{ mm}\times 3\frac{1}{2}\text{ mm}[/tex]

Let us convert our given mixed fraction into decimal.

[tex]V=9\text{ mm}\times8.5\text{ mm}\times 3.5\text{ mm}[/tex]

[tex]V=267.75\text{ mm}^3[/tex]

Therefore, the volume of the given prism would be [tex]267.75\text{ mm}^3[/tex] and option D is the correct choice.

Answer:

D

Step-by-step explanation:

Answer:

it's 2 I already took the quiz

Answer:

x = - 20, x = - 3

Step-by-step explanation:

To find the zeros, let h(x) = 0, that is

x² + 23x + 60 = 0

Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- term (+ 23)

The factors are + 20 and + 3, since

20 × 3 = 60 and 20 + 3 = 23, thus

(x + 20)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 20 = 0 ⇒ x = - 20

x + 3 = 0 ⇒ x = - 3