A boat can travel 16 Kilometers per hour in still water. The boat travels 15 kilometers down a river and then 15 kilometers up stream. The entire trip takes 5.5 hours. Which equation describes the current, c, of the river?

a)
[tex] \frac{16}{15 + c} + \frac{16}{15 - c} = 5.5 [/tex]
b)
[tex] \frac{5.5}{16 + c} + \frac{5.5}{16 - c} = 15 [/tex]
c)
[tex] \frac{5.5}{15 + c} + \frac{5.5}{15 - c} = 16 [/tex]
d)
[tex] \frac{15}{16 + c} + \frac{15}{16 - c} = 5.5[/tex]

Answers

Answer 1

Answer:

d)

Step-by-step explanation:

the sites of the boat alone is 16 km/h.

downstream and upstream the effective speed is then influenced plus and minus by the current.

the distance traveled is 15km.

as speed = distance/time

then distance / speed = distance / (distance/time) = time

and we know the time it takes : 5.5 hours.

so, only answer d uses the right values in the "right places".


Related Questions

Please help me





20 points

Answers

Answer:

1). Simplify the expression.

Exact Form:

( [tex]\frac{37}{25}[/tex] )

Decimal Form:

1.48

Mixed Number Form:

( [tex]1\frac{12}{25}[/tex] )

2). Simplify the expression.

91.46

3). Simplify the expression.

Exact Form:

[tex]\frac{17}{24}[/tex]

Decimal Form:

0.7083  ( bar notation)

4). Simplify the expression.

81.49

What is the solution to the equation 3/4y+1/4=1+y , given the replacement set {−4, −3, −2} ?

−4
−3
−2

Answers

Answer:

-3

Step-by-step explanation:

Solution of the equation is y = -3.

What is the solution of the equation?

A solution to an equation is a value of a variable that makes a true statement when substituted into the equation. The process of finding the solution to an equation is called solving the equation.

Given expression (3/4)y+1/4= 1+y.

simplify each term,

(3/4)y + 1/4 = 1+y

Move all terms not containing y to the right side of the equation,

(3/4)y - y = 1-1/4

(-1/4)y = 3/4

Since  both side of the expression has the same denominator, the numerators must be equal.

y = -3

Solution of the equation is y = -3.

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The area of a triangular sail is given by the expression 1/2 bh, where b is the length of the base and h is the height. What is the area of a triangular sail in a model sailboat when b = 12 inches and h = 7 inches?

Answers

42 square inches.

Step-by-step explanation:

A = 1/2 b × h

A = 1/2 x 12 x 7

A = 6 × 7

A = 42

find the measure of angle y, 38,41,19

Answers

If this is DMS then the answer is 38.68861111 degrees

test again Add.

3/8+3/8

Answers

Answer:

3/4 or 0.75

Step-by-step explanation:

[tex] \frac{3 }{8} + \frac{3}{8} [/tex]

transform the equation

[tex] \frac{3 + 3}{8} [/tex]

calculate

[tex] \frac{6}{8} [/tex]

simplify

[tex] \frac{3}{4} [/tex]

or 0.75

At which root does the graph of f(x) = (x + 4)(x + 7,5) cross the x-axis?
-7
-4
4
7

Answers

Answer:

Answer: -7

Step-by-step explanation:

The roots at which the graph of f(x) =(x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x axis are -4 and -7.

What is Root of Equation?

In mathematics, a root is a solution to an equation that is usually stated as a number or an algebraic formula.

A quadratic equation's roots are the variable values that fulfil the equation. They are also referred to as "solutions" or "zeroes" of the quadratic equation.

We have If(x) = (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x-axis then y = f(x) = 0.

Now, if f(x) = 0

then (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] = 0

Now, calculating in separate the value of x as

x +4 =0 and x+ 7= 0

x = -4 and x = -7

Thus, the roots cross x axis at -4 and -7.

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The coordinates of the vertices of △PQR are P(1, 4), Q(2, 2), and R(−2, 1). The coordinates of the vertices of △P′Q′R′ are P′(−1, 4), Q′(−2, 2), and R′(2, 1).

Which statement correctly describes the relationship between △PQR and △P′Q′R′?

1. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.

2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.

3. △PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′.

4. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.

no links please

Answers

Answer:

the Answer is:

△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.

Step-by-step explanation:

I got 100% on the quiz

The two triangles ΔPQR and ΔP'Q'R' are congruent.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

The statement that correctly describes the relationship between △PQR and △P′Q′R′ is:

2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.

From the attached graph we can observe that the given Triangle PQR is reflected across the y-axis.

In this case, a translation, a reflection across the x-axis, but a reflection across the y-axis can map △PQR onto △P′Q′R′. Therefore, the two triangles are congruent.

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Pls help me asap!! Only answer if u know the correct answer! Thanks! :)

Answers

The answer is 168 feet tall!

I hope this helps, please tell me of you want a step by step, I can give one. :)

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

2 and 3

Step-by-step explanation:

20/12 = 1.6666666

15/9 = 1.6666666

BRAINLIEST
Please solve at least one of these problems. I would love it if you could do all of them but I know you probably won’t have time for it. Ty!

Answers

Answer:

Step-by-step explanation:

PLS HELP ME
How do you find the radius???

Answers

Answer:

r = 15

Step-by-step explanation:

Using Pythagoras' identity in the right triangle OAB

with OM and OB the radii r of the circle

OA² = OB² + AB²

(r + 10)² = r² + 20² ← expand left side using FOIL

r² + 20r + 100 = r² + 400 ( subtract r² from both sides )

20r + 100 = 400 ( subtract 100 from both sides )

20r = 300 ( divide both sides by 20 )

r = 15

A glue company needs to make some glue that it can sell for $120 per barrel. It wants to use 150 barrels of glue worth $100 per barrel, along with some glue worth $150 per barrel and glue worth $190 per barrel. It must use the same number of barrels of $150 and S190 glue. How much of the $150 and $190 glue will be needed? How many barrels of $120 glue will be produced

Answers

4860 i think that is the answer

What type of angle is 90 degrees

Answers

Answer:

Obtuse or right angle

Step-by-step explanation:

Also you should stop making your question worth so many points

how many ants will there be in the ant farm?

Answers

Answer:

Collect as many ants as you can with the container you have provided. A excellent approach to do this is to sprinkle some sugar or bread crumbs in a container and position it near the ant nest, where the ants will gather. A reasonable starting point is about 100.

Step-by-step explanation:

Hope it helps:)

please dont give a useless answer

Answers

Answer:

[tex]\frac{7}{10} ,0.7[/tex]

Reasoning:

Do the inverse of adding 4/5 to isolate and find a.

[tex]1\frac{1}{2} - \frac{4}{5} =\frac{7}{10}[/tex]

Decimal Form:

[tex]1.5-0.8=0.7[/tex]

Answer:

  a = 0.7 = 7/10

Step-by-step explanation:

Subtract 4/5 from both sides.

  a + 4/5 = 1 1/2

  a + 0.8 = 1.5

  a + 0.8 -0.8 = 1.5 -0.8 . . . . subtract 4/5 from both sides

  a = 0.7 = 7/10

_____

If you like, you can solve this a couple of other ways:

1) Solve it as an integer problem.

  10a +8 = 15 . . . . . . multiply the given equation by 10 to clear fractions

  10a = 7 . . . . . . . . subtract 8

  a = 7/10 . . . . . . divide by 10

2) Use a common denominator

  a +8/10 = 1 5/10

  a = 1 5/10 -8/10 . . . . . subtract 8/10

  a = 15/10 -8/10 = (15 -8)/10 = 7/10 . . . . . convert to improper fraction

__

Additional comment

It is a good idea to get comfortable working with numbers in any form in which they are presented: decimal, fraction, mixed number, scientific notation, percentage. Knowing how to convert between forms is essential.

Which expression can be placed on the right side of the equals sign to form an equation? 6+24= 7+3⋅5 4⋅103+96 3⋅10+2 7²

hurry please im timed whoever gets the correct answer ill give brainliest

Answers

Answer:

the answer is 7 + 3 . 5

Step-by-step explanation:

what is the x intercept

Answers

Answer:

The answer is B

Help plzz

Tap the word that "they" refers to.

Answers

Answer:Frogs

I think so…If it’s wrong and you can tell me and I’ll try correct it

Hope its correct!

;)

Have a great day!

Math help because I forget

Answers

Answer:

R.I.P

Step-by-step explanation:

goodluck doing that

What is 2+21*13-45+12*67

Answers

Answer:

1034

Step-by-step explanation:

Answer:

1034

Step-by-step explanation:

What is 100,000×1,000,000

Answers

Answer:

100,000 × 1,000,000 = 1.E11

Answer:

100000000000

Step-by-step explanation:

-8 less than a number is no more than 12

Answers

Answer:

-8 < x ≤ 12

Step-by-step

-8 less than a number would give you

-8 <

a number no more than 12 would give you

x ≤ 12

giving x because we dont know what the number is-

so your full anser would be-

-8 < x ≤ 12

Can someone please help solving for x

Answers

Answer:

x=6.7

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for x:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(31^\circ)=\frac{x}{13}[/tex]

[tex]13sin(31^\circ)=x[/tex]

[tex]x=13sin(31^\circ)[/tex]

[tex]x\approx6.7[/tex]

So, the opposite side is about 6.7 inches

Find the perimeter. Simplify your answer.

Answers

Answer:

perimeter=32t units

Step-by-step explanation:

let:

a=8t-2

b=8t+2

perimeter=2(a+b)

Subtitute values of a and b:

=2(8t-2+8t+2)

=2(16t)

=32t units

The answer is 32t units

paisley’s mom buys a car using a loan . she repays the loan by paying $22.032 in 48 equal monthly payments . how much is each payment ?

Answers

Answer: $459 each month

Step-by-step explanation:

Paisley's mom is paying the loan of $22,032 in 48 equal monthly payments.

In order to find how much each month's payment would be you divide the loan by 48.

22,032 ÷ 48 = 459

Paisley's mom would need to pay $459 each month for 48 months to pay off her loan.

SHOW WORK, please!!!!!!
A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more than the orange.
What is the total weight in grams for the pineapple and orange?

Answers

Answer:

1015 g and 145 g

Step-by-step explanation:

Let pineapple  = x, orange = y

A pineapple is 7 times as heavy as an orange:

x = 7y

The pineapple also weighs 870 grams more than the orange:

x = y + 870

Compare the two equations above:

7y = y + 8706y = 870y = 870/6y = 145

Find the value of x:

x = y + 870 = 145 + 870 = 1015

[tex]\huge \bf༆ Answer ༄[/tex]

Weight of pineapple :

[tex] \boxed{ \sf1015 \: g}[/tex]

Weight of Orange :

[tex] \boxed{ \sf145 \: g}[/tex]

[tex]꧁  \:  \large \bf{ Kaul } \: ꧂[/tex]

Solve the word problems below: When I woke up today morning, the temperature was 24 o C. Every two hours, it gets warmer by 1o C. Write an equation to represent this linear relationship.

Answers

Answer:

n + 23

24,25,26,27,28,29,30,...

A xerox machine makes scale copies of the pages in your math book. If the copy comes out the exact same size as the original,what do you think the scale factor is?

Answers

If the copy made by Xerox's machine is same size as the original, the scale factor will be 1.

Recall:

The scale factor = dimension of new copy / dimension of original copy.

Let's assume that one of the dimension of the original copy is 4 inches.

If the new copy is of exact same size as the original copy, therefore the new copy will still have a dimension of 4 inches.

Thus:

Scale factor = 4/4 = 1

Therefore, if the copy made by Xerox's machine is same size as the original, the scale factor will be 1.

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30 65 and 75 lcm12 24 36 and 48 lcm6 8 15 and 35 lcm20 25 35 and 70 lcm18 20 24 30 lcm

Answers

Doin it for points sorry

21. Paul has $900 to invest in a savings account that has an annual interest rate of 1.8%, and a money market account that pays 4.2% per year. Write a polynomial for the interest he will earn in one year if he invests x dollars in the savings account.

Answers

The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.

The interest earned after one year is 0.018·x

Reasons:

The amount Paul has to invest = $900

The annual interest rate from the savings account = 1.8%

The amount the money market account pays per year = 4.2 %

Required: The polynomial for the interest Paul earned by investing x dollars in the savings account.

Solution:

The interest earned is found using the compound interest formula as follows;

[tex]\displaystyle A = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t}}[/tex]

Where;

A = The amount in the account after one year

P = The original amount invested = x

r = The interest rate offered on the investment = 1.8% = 0.018

t = The time of the investment = 1 year

n = The number of times of application of the interest per period = Once per year

Which gives;

Interest = Amount earned = A - P

Therefore;

[tex]\displaystyle Interest, \ I = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t} - P}[/tex]

Plugging in the values gives;

[tex]\displaystyle I = x \cdot \left(1 + \frac{0.018}{1} \right)^{1 \times 1} - x = x \cdot 1.018^1 - x = 1.018 \cdot x - x = 0.018 \cdot x[/tex]

The polynomial equation is therefore;

Interest, I = 0.018·x

Using the simple interest formula, we have;

[tex]\displaystyle Interest = \mathbf{\frac{P \times r \times t}{100}}[/tex]

Which gives;

[tex]\displaystyle Interest = \frac{x \times 1.8 \times 1}{100} = 0.018 \cdot x[/tex]

Interest earned by investing in the savings account for one year, I = 0.018·x

The polynomial representing the interest earned is I = 0.018·x

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