Can someone please help me understand thank you

Can Someone Please Help Me Understand Thank You

Answers

Answer 1

Answer:

(6):  The current is 2 miles per hour

(7):  20/3 hours

For (7), if your software allows you to use mixed numbers, you can write 6 2/3 instead of 20/3 if you prefer.

Step-by-step explanation:

(6) Finding the speed of the river's current:

Step 1: Calculate the effective speed upstream

When paddling upstream, Jeanette's speed relative to the ground is reduced by the speed of the river's current. So her effective speed upstream is (5 - c) miles per hour.

Step 2: Calculate the effective speed downstream

When paddling downstream, Jeanette's speed relative to the ground is increased by the speed of the river's current. So her effective speed downstream is (5 + c) miles per hour.

Step 3: Calculate the time taken to travel 18 miles upstream

Using the formula time = distance / speed, the time taken to travel 18 miles upstream is:

Time upstream = 18 / (5 - c) hours

Step 4: Calculate the time taken to travel 42 miles downstream

Using the same formula, the time taken to travel 42 miles downstream is:

Time downstream = 42 / (5 + c) hours

Step 5: Set up the equation based on the given information

According to the problem, the time taken upstream is equal to the time taken downstream. So we can set up the equation:

Time upstream = Time downstream

Step 6: Solve the equation

Substituting the expressions for time upstream and time downstream from steps 3 and 4 respectively, we have:

18 / (5 - c) = 42 / (5 + c)

Step 7: Cross-multiply and solve for 'c'

18(5 + c) = 42(5 - c)

90 + 18c = 210 - 42c

60c = 120

c = 2

Therefore, the speed of the river's current is 2 miles per hour.

(7) Finding the time it takes for Hannah and Destiny to paint the room simultaneously:

Step 1:

Let x be the number of hours it takes for both Hannah and Destiny to paint the room together.

Step 2:

In one hour, Hannah can paint 1/15 of the room, and Destiny can paint 1/12 of the room. The sum of their fractions will tell how much of the room they can paint in an hour:

(1/15) + (1/12) = (4/60) + (5/60) = 9/60 = 3/20

Thus, they can paint 3/20 of the room in one hour

Step 3:

Since they can paint 3/20 of the room in one hour, 1 represents the entire room being painted (technically 20/20 which reduces to 1/1 or just 1).

Thus, we can create a proportion to determine how many hours it will take for them to paint the entire room:

3/20 painted / 1 hour = 1 painted / x hours

(3/20) / 1 = 1 / x

(3/20 = 1/x) * x

(3/20x = 1) / 3/20

x = 1 * 20/3

x = 20/3

Thus, it would 20/3 hours (about 6.67 hours) for the pair to paint the room while working together.

Answer 2

Answer:

  6.  2 mph

  7.  6 2/3 hours

Step-by-step explanation:

You want the speed of a river's current if it takes a kayak paddling 5 mph the same time for 18 miles upstream as for 42 miles downstream. You want to know the "working together" time for Hannah and Destiny if they can paint a room in 15 and 12 hours, respectively, working alone.

Rate

These are rate problems. The general relation involved is ...

  rate = quantity / time

This equation can be rearranged to give you quantity or time, as you may need.

For the river current problem, the quantity is miles, and the time is hours. The rate (no surprise here) is miles per hour.

For the painting problem, the quantity is painted rooms, and the time is hours. The rate is given by its inverse: hours per painted room. You can only add rates expressed as quantity/time, so the given hours per room will need to be inverted to give rooms per hour.

6. Current

The speed upstream is 5-c, and the distance is 18 miles, so the time is ...

  18/(5 -c)

The speed downstream is 5+c, and the distance is 42 miles, so the time is ...

  42/(5 +c)

These times are said to be the same, so we have ...

  18/(5 -c) = 42/(5 +c)

Multiplying by (5-c)(5+c)/6, we have ...

  3(5 +c) = 7(5 -c)

  15 +3c = 35 -7c . . . . . eliminate parentheses

  10c = 20 . . . . . . . . . . . add 7c-15

  c = 2 . . . . . . . . . divide by 2

The current is 2 miles per hour.

7. Painting

Hannah's rate of painting rooms is ...

  (1 room)/(15 hours) = 1/15 room/hour

Destiny's rate of painting rooms is ...

  (1 room)/(12 hours) = 1/12 room/hour

These rates add when they work together:

  (1/15 room/hour) +(1/12 room/hour) = (12 +15)/(12×15) room/hour

  = 3/20 room/hour

Then the time it takes to paint 1 room is ...

  time = quantity/rate

  (1 room)/(3/20 room/hour) = 20/3 hour = 6 2/3 hour

Working together it take the two painters 6 2/3 hours to paint the room.

__

Additional comment

It helps to be comfortable with arithmetic using fractions and rational expressions (same thing, but with variables).

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Related Questions

What is the rate of change of the following equation?
y = 4x - 3

Answers

Answer:

Step-by-step explanation:

answer is x=1/4y+3/4

Consider the following sequence:

400, 480, 576, 691.2, 829.44

Is the sequence arithmetic or geometric? Explain your reasoning. (1 point)

Answers

Answer:

geometric

Step-by-step explanation:

The sequence is geometric. In a geometric sequence, the ratio between any two consecutive terms is constant. In this sequence, the ratio between any two consecutive terms is 1.2, which is constant. Therefore, the sequence is geometric.

Here is the proof:

480/400 = 1.2

576/480 = 1.2

691.2/576 = 1.2

829.44/691.2 = 1.2

As you can see, the ratio between any two consecutive terms is always 1.2. Therefore, the sequence is geometric.

When writing a linear equation from a word problem, the rate of change is the slope, m.
True
False

Answers

The answer is true the slope is the rate of change

-7 times what equals 2? i’ll give brainliest

Answers

Answer:-3.5

Step-by-step explanation:

Find the porportion 3/12 = 2/x

Answers

Answer:

x = 8

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. First, multiply 12 and x to both sides of the equation:

(3/12)(12)(x) = (2/x)(12)(x)

3 * x = 2 * 12

3x = 24

Isolate the variable, x. Divide 3 from both sides of the equation:

(3x)/3 = (24)/3

x = 24/3

x = 8

x = 8 is your answer.

~

Step-by-step explanation:

the answer to this question is 2/8, x is 8

in order to do this proportion, you have to

1.Cross multiply:

3 * x = 12 * 2

2.

Simplifying

3 * x = 12 * 2

3.

Multiply 12 * 2

3x = 24

4.

Solving

3x = 24

5.

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

6.

Divide each side by '3'.

x = 8

7.

Simplifying

x = 8

meaning that 3/12 = 2/8

I need help with this question.

Answers

Answer:

Angle RSP and Angle TSU.

Step-by-step explanation:

These angles are across from each other, which is what vertical angles are.

I need this FAST please help!!!

Answers

Answer:

the answer is   9.879

what property does 5 + 9 = 9 + 5 represent

Answers

Answer:

Commutitave property of addition

Step-by-step explanation:

Answer: Commutative Property of Addition

Explanation: The Commutative Property of Addition states that numbers can be added in any order and you will get the same result.

n - 14 = 20. Solve for n
Please explain

Answers

Answer: 34

Step-by-step explanation: you would have to add 14 to the other side. In math you have to do the opposite to cancel out sides. So to cancel -14 you would have to add 14 to -14 (making it zero) and 20 (making it 34)

Im bad at explaining but I hope you now kindof get it

Answer:

N = 6

Step-by-step explanation:

1.) 1n - 14 = 20

Instead of just having "n" put a 1 in front of it just to help

Subtract 14 on both sides

2.) 1n = 6

divide 1 on both sides

3.) N = 6

Best of luck

PLEASE HELP WILL GIVE BRANLIEST AND 50 POINTS

Answers

Answer:

it is 1-2 the second one

explanation:

give me brainiest i answered it

A coat and a pair of boots are on sale for 20% off. The regular price of the coat is $215. The regular price of the boots is $120.

What is the sale price of the coat? Explain.


Jesse wants to buy both the coat and the boots. How much will she pay if she buys them during the sale?

Answers

Answer:

268

cause 20 % off of each then added = 268

How much must a women weigh (force) if the pressure exerted while standing on one foot has an area of 0.6m square exerts a pressure of 16 Pascal?

Answers

Answer: 9.6 N

Step-by-step explanation:

Hey there!

Pressure = 16

Area = 0.6

Force = pressure × area

Force  = 16 × 0.6 = 9.6N

A woman must weigh 9.6N if the pressure exerted while standing on one foot has an area of 0.6m square exerts a pressure of 16 Pascal.

~I hope I helped you! :)~

Jeremiah jumped forward 4 times. Each time his jump measured 24.4 cm. What is the total length of his four jumps? Write your answer using numbers only.

Answers

Answer:

97.6

Step-by-step explanation:

you multiply 24.4 and 4 to get your answer

helppp
I don't know it's correct​

Answers

Answer:

Yes it is correct

Step-by-step explanation:

Answer:

yes its correct

Whole numbers are located at the right side of the number line .

0 is the smallest whole number

negative numbers are not whole numbers

Hope that helped

Step-by-step explanation:

A diver descends from an elevation of 6 feet below sea level to an elevation of 106 feet below sea level in 2 equal intervals. What was the diver's change in elevation in each interval?

Answers

Answer

His new position is 3.75 meters 12.25-8.5=3.75 her new position is 20ft 9 1/2 +10 1/2=20

Step-by-step explanation:

what's the value of
9^1/2

Answers

Answer:

3

Step-by-step explanation:

You could easily put this in a calculator!

Answer:

Step-by-step explanation:

9^1/2 = √(9) = 3

Find the common difference of the arithmetic sequence -18, -21, -24

Answers

Answer: 3

step-by-step example:■ The 24th value of the sequence (a24) is 501

■ Sample of the first ten numbers in the sequence: 18, 39, 60, 81, 102, 123, 144, 165, 186, 207

■ Sum of all numbers until the 24th: 6228

■ The mean value of the series: 259.5

■ Standard deviation: 145.3659

Simplify.
Remove all perfect squares from inside the square root.
✓112a^6

Answers

Answer:

[tex]4\sqrt{7}a^3[/tex]

Step-by-step explanation:

[tex]\sqrt{112a^6} \\\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\\\\=\sqrt{112}\sqrt{a^6}\\\\=4\sqrt{7}\sqrt{a^6}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{bc}=\left(a^b\right)^c\\\\a^6=a^{3\times\:2}=\left(a^3\right)^2\\\\=4\sqrt{7}\sqrt{\left(a^3\right)^2}\\\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a\\\\\sqrt{\left(a^3\right)^2}=a^3\\\\=4\sqrt{7}a^3[/tex]

a) You have a piece of string that is 36m long. find the areas of all the shapes you can make which have a perimeter of 36m. b) A piece of land has an area of 100m². How many meters of wire fencing is needed to enclose it?​

Answers

a. The areas of the square is 81m² and for rectangle is 72m²

b. The perimeter of the square is 40m

What are the areas of all the shapes you can make which have a perimeter of 36m?

a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.

For a square;

Perimeter of square = 4L

36 = 4L

L = 9m

The area of the square will be L² = 9² = 81m²

For a rectangle;

The perimeter of rectangle is;

P = 2(L + W)

We can assume that two numbers which will represent the length and width are;

L = 12m, W = 6m or L = 6m, W = 12m

A = 12 * 6 = 72m²

b.

The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;

Perimeter of square = 4L

Area of square = L² = 100m²

L = 10m

The perimeter of the wire is 4(10) = 40m

Learn more on perimeter and area of rectangle and square here;

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can u please have help i cant get this ​

Answers

Answer:

Step-by-step explanation:

Three or more points that lie on the same line are collinear points.

I have highlighted the points so you can see where they lay on the lines. You can see only one set of points is on 2 different lines.

Please mark Brainliest when able.

3/5+-1/3 plz help me

Answers

Answer:

4/8

Step-by-step explanation:

You add 3 and 1 thats 4 then you add 5 and 3 and thats 8

please mark brainliest

Answer:

4/8

Step-by-step explanation:

pretty sure because I'm pretty sure that's the correct answer

Is this one correct?​

Answers

Answer:

do you expect me to flip sideways just to help you cheat on ur homework

Step-by-step explanation:

It’s f .................

What system of inequalities corresponds to this graph?​

Answers

Answer:

We know that the shaded region is the area of intersection of the areas below/above the 2 lines

We will first find the equation of the increasing line using the slope-intercept formula

We can see that it intersects the y-plane at y = 4

Hence, it's y-intercept is 4

Now we will find the slope of the line:

Since the slope of a line is given by the formula slope = rise/run

since the rise of this line is equal to its run,

we can say that the slope of this line is 1

Equation of line 1:

ignoring the inequalities and using the slope-intercept formula, we get

y = x + 4

Now, we will talk about the inequality symbol

We know that the shaded area on the graph is the intersection of the inequalities

Since the shaded area is under the line, the area of this inequality is under the line, which means the area covers values which are lower than the value of the line

Hence, we can say that there will be a less-than (<) sign

We can also see that the line is not dotted, this means that the values of the   inequality include the values on the line

Which means that instead of a less-than (<) sign, we will have a less-than or equal-to sign (≤)

Which means that the equation of line 1 will be:

y ≤ x + 4

Now on to the next line:

We can see that the y-intercept of this line is y = 1

Now, finding the slope:

Slope = Rise / Run

We notice that the rise = run = 1

Hence, slope of line 2 is also 1

but since this line is going down, its slope will be negative

Slope = -1

Equation of line 2:

Ignoring the inequality, the equation of this line according to the slope-intercept formula the equation of this line will be:

y = -x + 1      OR      y = 1 - x

Now, we will talk about the inequality symbol:

We know that the area on the graph is the area of intersection of the areas of both the lines

Since the area of intersection is above this line,

we know that there will be a greater-than (>) sign

We also see that the line is not dotted, which means that the values on the line are also included in the area of the inequality

Which adds an equal-to to the sign

Hence, the symbol of inequality for line 2 is greater-than or equal-to (≥)

Therefore the equation of line 2:

y ≥ 1 - x

Finally, the 2 equations in this system of inequality are:

y ≥ 1 - x       and         y ≤ x + 4

PLEASE HELP FAST, FINAL IS TODAY!!‼️WILL GIVE BRAINLIEST

Answers

Answer:

c. Angle- Angle Similarity theorem

Please help❤️ Write an equation for the line through the points (9,5) and (6, 7) in point-slope form
y = y0 + m(x - x0).
y =_ + _

Answers

Answer:

y = 5 -2/3 ( x-9)

Step-by-step explanation:

point slope form

y = y0 + m(x - x0).

m is the slope

m = (y2-y1)/(x2-x1)

     ( 7-5)/(6-9)

   2/-3

 =-2/3

The slope is -2/3

Using the point (9,5)

y = 5 -2/3 ( x-9)

Answer:

[tex]y=5-\frac{2}{3}(x-9)[/tex]

Step-by-step explanation:

We are given that the line passes through the two points (9, 5) and (6, 7).

And we want to find the equation of the line in point-slope form:

[tex]y=y_0=m(x-x_0)[/tex]

First, let's find the slope. The slope is given by the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let's let (9, 5) be (x₁, y₁) and let (6, 7) be (x₂, y₂). Substitute these values into the slope formula:

[tex]m=\frac{7-5}{6-9}[/tex]

Subtract:

[tex]m=2/-3[/tex]

Simplify:

[tex]m=-2/3[/tex]

So, our slope is -2/3.

Note, we can use the point-slope form. Notice that we also need an (x₀, y₀).

We can use either of our two known points. So, let's let (9, 5) be (x₀, y₀).

Substitute 9 for x₀, 5 for y₀, and -2/3 for m yields:

[tex]y=5-\frac{2}{3}(x-9)[/tex]

And we're done!

Jamie brought her mother a few present for her birthday. if she bought her three books for $4.95 each and 2 candles for $3.50 each,how much did she spend total​

Answers

Answer:

$21.85

Step-by-step explanation

the equation would be

4.95b+3.50c

b= the number of books (3)

c= the number of candles (2)

plug in the numbers

4.95(3)+3.50(2)=21.85

Answer:

21.85

Step-by-step explanation:

(4.95×3)+(3.50×2)


In an isosceles triangle, the legs can be represented by the expression 6x + 8 and the base can be represented by 2x – 6. Find the perimeter of this triangle by adding all three lengths of the triangle. Suppose the height of the triangle can be expressed as 4x + 2. Find the area of the triangle.

Answers

Answer:

x = 3.5; perimeter = 59; area = 8

Step-by-step explanation:

isosceles means the two legs equal each other so use same expression later on

6x + 8 = 2x - 6

6x - 2x = -8 - 6

4x = -14

x = 3.5

plug x value in the first expression to find the two sides that are equivalent to each other

6(3.5) + 8

21 + 8

29

plug x value into the second expression (the base)

2(3.5) - 6

7 - 6

1

perimeter = side 1 + side 2 + side 3

perimeter = 29 + 29 + 1

perimeter = 59

area = base × height/2 or bh/2

first plug in x value into height expression

4x + 2

4(3.5) + 2

14 + 2

16

area = 1 × 16/2

area = 16/2

area = 8

PLS HELP ON A TIMER !!

Answers

I think either b or A

Translate this sentence into an equation.
Helena's age decreased by 23 is 63.
Use the variable h to represent Helena's age.

Answers

Answer: ALEKS LINEAR EQUATIONS AND INEQUALITIES

h-23=63  

Step-by-step explanation:

We must translate this sentence into an equation.

Helena's age decreased by 23 is 63.

The words decreased by tell us to subtract.

In particular, Helena's age decreased by 23 means −h23.

The word is means equals.

So we get the following.

h-23=63

If Helena's age decreased by 23 is 63 and the variable h represents Helena's age. The condition followed by the equation will be,h-23 = 63.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Helena's age decreased by 23 is 63.

In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.

If the variable h represents Helena's age. The condition followed by the equation will be,

h-23 = 63

Thus, if Helena's age decreased by 23 is 63 and the variable h represents Helena's age. The condition followed by the equation will be,h-23 = 63.

Learn more about the arithmetic operation here:

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In the U.S. we consume 20 million barrels of oil per day. If the U.S. population is 320 million people, how many barrels per day does each person burn?

Answers

Answer:

1/16 or 0.0625

Step-by-step explanation:

Divide 20 by 320 and you get 1/16 or 0.0625

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