a certain fish can swim 5 1/2 times faster than a person. if a person can swim 5 2/7 miles per hour, how fast can the fish swim? estimate the answer. then find the exact answer.

Answers

Answer 1

I'd estimate about 29 or 30 miles per hour.

The exact answer is 29.0675 miles per hour

5 2/7 x 5 1/2 = 29.0675.

Answer 2
Final answer:

The fish can swim approximately 29 miles per hour, with the exact speed being 29 1/14 miles per hour. This is determined by converting the mixed numbers to improper fractions, multiplying them together, then converting the product back to a mixed number.

Explanation:

The subject of this question is mathematics, specifically a real-world application of multiplication of fractions. If a person can swim at a rate of 5 2/7 miles per hour, and the fish swims 5 1/2 times faster, we have to multiply the person's speed by the speed multiplier which is the speed of the fish relative to the person.

Step-by-step explanation:

First, change the mixed numbers to improper fractions. 5 2/7 becomes 37/7 and 5 1/2 becomes 11/2. Multiply the fractions: (37/7) * (11/2), which gives us 407/14. Convert back to a mixed number for the final answer: 29 1/14 miles per hour.

So the fish can swim approximately 29 miles per hour and the exact speed is 29 1/14 miles per hour.

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Related Questions

If r is seven more than the square of l , then r =
A) l2 + 7
B) l7 + 2
C) (l + 2)7
D) (l + 7)2

Answers

The answer to this problem would be A

Write two inequalities using a number pairs using the symbols < or >

5 and -11

Answers

Answer:

5 <-11

Step-by-step explanation:

5 is greater than -11

6

5

4

3

2

1

0

-1

-2

-3

-5

-6

-7

-8

-9

-10

-11

Final answer:

The inequalities created from the number pair 5 and -11 are '5 > -11' and '-11 < 5'. These represent that 5 is greater than -11 and that -11 is less than 5.

Explanation:

To write two inequalities using the number pairs 5 and -11 with the symbols < and >, we consider the numeric value and sign of the numbers. We know that any positive number is always greater than a negative number. This gives us the first inequality: 5 > -11

Now, if we want to write an inequality using <, then we swap the order of numbers. Thus: -11 < 5

These statements tell us that 5 is greater than -11 and -11 is less than 5, which demonstrates how to use < and > inequalities with numbers.

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The measure of one of the small angles of a right triangle is 15 less than twice the measure of the other small angle. Find the measure of both angles

Answers

Answer:

35° and 55°

Step-by-step explanation:

The sum of the angles of a right rectagle is 180°, with a right angle of 90°.

The tell us that A = 2B-15, so:

180° = 90° + A + B

180° = 90° + 2B - 15 + B

180° - 90° + 15 = 2B + B

105° = 3B

B = 105°/3 = 35°

Now, let's find A:

A = 180° - 90° - 35° = 55°

Using the properties of a right triangle and setting up an equation based on the relationship between the two small angles, we find that the angles measure 35 degrees and 55 degrees, respectively.

To solve the problem involving the angles of a right triangle, we recall that the sum of the angles in any triangle is 180 degrees. In a right triangle, one angle is always 90 degrees, which leaves a total of 90 degrees to be shared between the other two angles.

If we let x represent the measure of one of the small angles, then the problem tells us that the other angle is 2x - 15 degrees.

Therefore, we can set up the following equation to solve for x:

x + (2x - 15) + 90 = 180

Combining like terms gives us:

3x - 15 + 90 = 180

3x + 75 = 180

Now, we subtract 75 from both sides of the equation:

3x = 105

Finally, we divide by 3 to find the measure of x:

x = 35

Having found that one of the small angles measures 35 degrees, we can now find the other small angle:

2x - 15 = 2(35) - 15

= 70 - 15

= 55 degrees.

So, the two small angles of the right triangle are 35 degrees and 55 degrees.

Write 500,000 in expanded form

Answers

Answer:

500,000

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

 500,000  

+ 0  

+ 0  

+ 0  

+ 0  

+ 0  

Expanded Factors Form:

 5 × 100,000  

+ 0 × 10,000  

+ 0 × 1,000  

+ 0 × 100  

+ 0 × 10  

+ 0 × 1  

Expanded Exponential Form:

5 × 105

+ 0 × 104

+ 0 × 103

+ 0 × 102

+ 0 × 101

+ 0 × 100

Word Form:

five hundred thousand

Step-by-step explanation:

Answers above..

Solve the system of equations. y = x ^ 2 - 3x + 6 y = 2x + 6

Answers

Answer:

the answer is A.

Step-by-step explanation:

The values of the system of equations y=[tex]x^{2}[/tex]-3x+6, y=2x+6 is (0,6),(5,16).

What is equation?

Equation is relationship between two or more variables that are expressed in equal to form.Equations of two variables look like ax+by=c.It may be linear equation, quadratic equation,cubic equation.

How to solve the equation?

We have been given two equations as y=[tex]x^{2}[/tex]-3x+6 and y=2x+6 and we are required to solve the equations for the value of x.

Putting the value of y from second equation in first equation.

2x+6=[tex]x^{2}[/tex]-3x+6

Cancellng 6 from both sides.

[tex]x^{2}[/tex]-5x=0

x(x-5)=0

x=0,x-5=0

x=0,x=5

Putting the values of x in second equation to get the value of y.

y=2x+6

y=2(5)+6

=10+6

y=16

y=2x+6

y=2*0+6

=6

Points will be (0,6),(5,16).

Hence the values of the system of equations y=[tex]x^{2}[/tex]-3x+6, y=2x+6 is (0,6),(5,16).

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write the equation of each line in point slope form.then graph the line
Slope -1/2, y-intercept 2

Answers

Answer:

[tex]y - 3 = - \frac{1}{2}(x + 2)[/tex]

Explanation:

I chose the coordinate of [-2, 3], and according to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting this coordinate into the formula with their CORRECT signs:

I am joyous to assist you anytime.

** It does not matter which coordinate you choose, as long as it falls on the line.

Find the quotient.
22 ÷ (-11) (work shown )​

Answers

Answer:

-2

*Remember- negative ×/÷ positive= negative. Negative ×/÷ negative=positive.

Explanation:

22÷ -11 (The parenthesis arn't really necessary)

Okay, so you are going to ignore the negative and pretend they are both positive.Divide like normal- how many times does 11 go into 22? 11×2=22. 2 is your answer.Now, is it negative or positive? Look back at the * above. Looking at that, what's your answer? Well, you divided 22 by -11. Negative ÷ positive= negative. Therefore, your answer is -2

I hope I was helpful! :D

For the quadrilateral ABCD diagonal BD is an angle bisector for angles B and D. Find the m∠DAC if m∠ADB = 20°, m∠DBC = 60°.

Answers

Answer:

70°

Step-by-step explanation:

If in the quadrilateral ABCD diagonal BD is an angle bisector for angles B and D, then

∠ABD ≅ ∠DBC;∠ADB ≅ ∠BDC.

Consider triangles ABD and CBD. In these triangles,

∠ABD ≅ ∠DBC;∠ADB ≅ ∠BDC;BD ≅ BD.

Hence, triangles ABD and CBD are congruent by ASA postulate.

So, AD ≅ DC.

Now, consider triangle ADC. This is an isosceles triangle, because AD ≅ DC. In this triangle, m∠ADC = m∠ADB + m∠BDC = 20° + 20° = 40°. AC is the base. Angles DAC and DCA are congruent as adjacent angles to the base AC, so

m∠DAC = 1/2 (180° - 40°) = 70°

Answer:

m∠DAC = 70°

m∠ACB = 30°

Step-by-step explanation:

Put these numbers in order from least to greatest

1.82, 1.6, 1 4/5

Answers

Answer:

1.6, 1 4/5 (1.8), 1.82

Step-by-step explanation:

Answer:

1.6;1 4/5;1.82

At a stock exchange there were a total of 10,000 shares sold in one day. Stock A had four times as many
shares sold as Stock B. The number of shares sold for Stock C was equal to the sum of the numbers of
shares sold for Stock A and Stock B. How many shares of each stock were sold?
shares of Stock A were sold,
were sold.
shares of Stock B were sold, and
shares of Stock
What’s the answer

Answers

Answer:

Share sold by Stock A = 4000, Stock B = 1000 and Stock C = 5000

Step-by-step explanation:

Total sold sold = 10000

i.e. [tex]A + B + C = 10000[/tex] ....(1)

Shares sold by stock A = 4 × Shares sold by stock B

i.e. [tex]A = 4B[/tex] ....(2)

Shares sold by stock C = Shares sold by stock A + Shares sold by stock B

i.e. [tex]C = A + B[/tex] ....(3)

substituting value of [tex]A[/tex] from (2) in (3) we get

[tex]C = 4B + B = 5B[/tex] ....(4)

substituting value of [tex]A[/tex] and [tex]C[/tex] from (2) and (4) in (1) we get

[tex]4B + B + 5B = 10000\\10B = 10000\\B = 1000[/tex]

[tex]A = 4B = 4*1000 = 4000[/tex]

[tex]C = 5B = 5*1000 = 5000[/tex]

Example 2: A Real World Example
Maria decides to take a walk along Central Avenue to purchase a book at the bookstore. On her way, she passes the
Furry Friends Pet Shop and goes in to look for a new leash for her dog. Furry Friends Pet Shop is seven blocks west of the
bookstore. She leaves Furry Friends Pet Shop and walks toward the bookstore to look at some books. After she leaves
the bookstore, she heads east for seven blocks and stops at Ray's Pet Shop to see if she can find a new leash at a better
price. Which location, if any, is the farthest from Maria while she is at the bookstore?
Determine an appropriate scale, and model the situation on the number line below.
HHHHHHHH
Explain your answer. What does zero represent in the situation?

Answers

Answer:

Both pet stores are an equal distance away from the book store.

East and West are opposites and she has to go 7 in each direction (from the bookstore) to reach each pet store

combine the like terms

1.4b-[tex]3b^{2}[/tex]+4c-[tex]2b^{2}[/tex]+c

Answers

Answer:

If your asking us to just combine like terms it would be -3b^2-2b^2+1.4b+4c+c

but if your asking us to answer the question it would be -5b^2+1.4b+5c

Hope I helped :)

Does (9,6) make the inequality y > 6 true?

Answers

No. The inequality is false.

In the given point (9,6) the second number is the Y value.

So if you replace Y with the given Y value of 6, the inequality is now 6 > 6 which is false since, 6 is = 6.

Sixty-six times the sum of nineteen plus fourteen in numerical expression

Answers

Answer:

Expression: 66(19+14)

Answer: 2178

Step-by-step explanation:

66(19+14)

66(33)

2178

Answer:

66 x 19 + 14

And because I wanna use my brain, the answer to that equation is  1268

PLEASE HELP! ILL MARK BRAINLIEST

Describe how the graph of y= x2 can be transformed to the graph of the given equation.


y = (x - 15)^2


Shift the graph of y = x2 right 15 units.

Shift the graph of y = x2 left 15 units.

Shift the graph of y = x2 down 15 units.

Shift the graph of y = x2 up 15 units.

Answers

Answer:

A,shift the graph of y =x2 right 15 units

Step-by-step explanation:

The new equation is subtracting 15 from the value of x.

When you subtract a number from x, the graph moves to the right by the number you subtract.

x-15, shifts the graph right 15 units.

The answer is: Shift the graph of y = x2 right 15 units.

About how much does the plant grow?

4

2 1/2

3

2

Answers

Hey!

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

[tex]\large\boxed{The~plant~grew~2\frac{1}{2}~feet!}[/tex]

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

Steps To Solve:

~Find common denominators

6/7 = 54/63

2/9 = 14/63

~Turn into improper fractions

1 54/63 = 117/63

4 14/63 = 266/63

~Subtract.

266/63 - 117/63 = 149/63

~Turn into mixed number

149/63 = 2 23/63

~Round

2 23/63 ≈ 2 1/2

Answer:

2 1/2

Step-by-step explanation:

because 4 2/9 - 1 6/7 equal to 2 half which equal to 2 1/2

3x² -2 = ab
express x as the subject of formula​

Answers

Answer:

x = ± [tex]\sqrt{\frac{ab+2}{3} }[/tex]

Step-by-step explanation:

Given

3x²  - 2 = ab ( isolate the x² term by adding 2 to both sides )

3x² = ab + 2 ( divide both sides by 3 )

x² = [tex]\sqrt{\frac{ab+2}{3} }[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{ab+2}{3} }[/tex]

Answer:

x =  √ [(ab + 2)/ 3]

Step-by-step explanation:

3x^2 - 2 = ab

3x^2 = ab + 2

x^2 = (ab + 2)/ 3

x =  √ [(ab + 2)/ 3]

One box is 4 feet 9 inches tall, one is 3 feet 10 inches tall, and one is 3 feet 7 inches tall. How high is the stack?

Answers

Answer:

146 in

12ft 2in

Step-by-step explanation:

4ft 9 = 4*12+9=48+9=57

3ft 10 = 3*12+10=36+10=46

3ft 7 = 3*12+7=36+7=43

57+46+43=146

146/12 = 12ft remainder 2

12ft 2in


Quadrilateral LMNO is reflected over the y-axis. What are the coordinates of the image of the vertex N?


A. (-4, 3)
B. (4, 3)
C. (-4, -3)
D. (4, -3)

Answers

Answer:

B

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ), thus

N(- 4, 3 ) → N'(4, 3 ) → B

Answer:

B. (4, 3)

Step-by-step explanation:

Since N is four units to the left of the y-axis, reflecting it would make it four units to the right of the y-axis, so you would base this off of the y-coordinate.

I am joyous to assist you anytime.

What is 9/45 simplified

Answers

Answer:

5

Step-by-step explanation:

[tex]\text{Hello there!}\\\\\text{We are simplifying the fraction:}\,\frac{9}{45}\\\\\text{Both 9 and 45 is divisible by 9, so we'll divide both sides by 9}\\\\\text{Divide:}\\\\\frac{9\div9}{45\div9}=\frac{1}{5}\\\\\boxed{\text{Answer:}\frac{1}{5}}}[/tex]

What’s the answer to

(x+y+ 3)(x+y-4)

Answers

The answer is [tex]x^2 + 2xy + y^2 - x - y - 12[/tex]

ASAAAPPPPP
what is f(x) = 3(x+3)-3

Answers

Answer:

Step-by-step explanation:

[tex]f(x) = 3(x + 3) - 3[/tex]

[tex]f(x) = 3x + 9 - 3[/tex]

[tex]f(x) = 3x + 6[/tex]

f(x) =3(x+3)-3
F(x)= 3x +9-3
F(x)= 3x +6

Create a set of numbers with five different values that have a mean of 50.

Answers

Answer 15 20 10 2.5 7.5

This equation graphed is?

Answers

Graph the following points:

(-2, -3)

(-1, -2)

(0, -1)

(1, cuberoot{2} -2}

(7, 0)

adam drove 280 miles in 4 hours . on average, how fast did he drive in hours per mile ? Express your answer in simplest form

Answers

Final answer:

Adam drove at an average speed of 70 miles per hour.

Explanation:

The speed at which Adam drove can be calculated using the formula for speed: speed = distance / time. In this case, Adam drove 280 miles in 4 hours. So to calculate his average speed in hours per mile, we take the provided distance and divide it by the provided time which gives us an average speed of 70 miles per hour.

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How many times greater is 1 kilogram than 1 microgram?

A. 10^9
B. 10^-9
C. 1/10^9
D. 10^8

Answers

Final answer:

1 kilogram is 10^9 times greater than 1 microgram because 1 kg equals 1000 grams, and there are 10⁶ micrograms in a gram, equating to 10⁹ µg/kg.So,option A.10⁹ is correct.

Explanation:

To determine how many times greater 1 kilogram is than 1 microgram, we need to understand the metric prefixes and their corresponding values. Knowing that 'micro' denotes 10⁻⁶, we can establish that 1 microgram (µg) equals 10⁻⁶grams (g). Since 1 kilogram (kg) equals 1000 grams, we then convert kilograms to micrograms by multiplying by 10⁶:

1 kg = 1000 g x 10⁶ µg/g = 10⁹ µg.

Thus, 1 kilogram is 10⁹ times greater than 1 microgram, which corresponds to option A.

what is a trinomial?​

Answers

Bob!.$ jacks shjskss

Answer:

(of an algebraic expression) consisting of three terms.

Example:

3x2 − 3y2 + 2

Chad used the table to show the ratios of the different types of sports game cards that he owns. For every 4 defense cards, he owns 2 offense cards. Which graph represents the proportional relationship between his defense and offense cards?

Answers

Only the graph A represents the proportional relationship between the variables.

Given that :

For every 4 defense cards ; there are 2 offense cards :

Defense cards = y

Offense cards = x

For proportional relationship :

y α x

y = kx

k = y/x

k = constant of proportionality

k = 4/2

k = 2

y = 2x

The value of y when x = 4

The value of y when x = 4 When ; x = 4

The value of y when x = 4 When ; x = 4 y = 2×4 = 8

Only graph A gives the proportional value of y when x = 4

Hence, Graph A represents the proportional relationship between defense and offense.

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Final answer:

The correct graph would show a straight line through the origin with a slope of ½, reflecting the 2:1 ratio of defense to offense sports game cards Chad owns.

Explanation:

The subject of this question is Mathematics, and it pertains to the concept of ratios and proportional relationships, which is typically taught at the Middle School level. To determine which graph represents the proportional relationship between Chad's defense and offense sports game cards, we must consider that for every 4 defense cards, he owns 2 offense cards. This establishes a constant ratio of defense to offense cards of 2:1.

A graph that accurately represents this relationship would be a straight line through the origin (0,0) that has a slope of ½, because for every 2 units increased in the defense (x-axis), there should be a 1 unit increase in the offense (y-axis). This is because the graph of a proportional relationship is always a straight line that passes through the origin, and the slope of the line reflects the ratio of the quantities compared.

Maria gave the casheir $50.00 to pay for three shirts. The casheir gave her back $8.75 in change. Each shirt cost the same amount. What is the cost in dollars and cents for each shirt?

Answers

Answer:

$13.75

Step-by-step explanation:

First figure out how much she paid, by taking the change from the $50

50 - 8.75 = 41.25

She paid $41.25 dollars on three tee-shirts.

Now take how much she spent and divide it on the number of items (tee-shirts) to figure how much each one cost.

41.25 divided by 3 = 13.75

$13.75

Each Tee-shirt cost $13.75

Final answer:

To find the cost of each shirt, subtract the change given from the total amount paid and then divide by the number of shirts purchased.

Explanation:

In this scenario, Maria paid $50.00 for three shirts and received $8.75 in change. To find the cost of each shirt, we subtract the change from the total amount she gave. $50.00 - $8.75 = $41.25. Since she bought three shirts, we divide $41.25 by 3 to find the cost of each shirt. The cost of each shirt is $13.75.

square root of 15 rounded to the nearest hundredth

Answers

Final answer:

The square root of 15 is approximately 3.872983346. However, when rounded to the nearest hundredth, it is 3.87.

Explanation:

The question is asking for the square root of 15 rounded to the nearest hundredth. The square root of any number is the value that, when multiplied by itself, gives the original number. It's generally represented with the symbol √.

In the case of 15, if you type in your calculator the square root of 15, you get an answer of approximately 3.872983346. However, the student question asks for this value rounded to the nearest hundredth. Thus, you would round this to 3.87. So, the square root of 15 rounded to the nearest hundredth is 3.87.

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Final answer:

The square root of 15 is approximately 3.87 when rounded to the nearest hundredth, following the rules of rounding where you round down if the third decimal is less than 5.

Explanation:

The question asks for the square root of 15 rounded to the nearest hundredth. To find this, we calculate the square root using a calculator, which gives us an approximate value. We then apply the rules of rounding: if the digit after the hundredths place is 5 or higher, we round up, and if it is lower than 5, we round down. This ensures that our answer is as close as possible to the actual square root without exceeding two decimal places.

Performing the calculation, we find that the square root of 15 is approximately 3.87298. Since the third decimal place (after the hundredth) is '2', which is less than 5, we round down. Therefore, the square root of 15 rounded to the nearest hundredth is 3.87.

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