A cyclist rides her bike at a rate of 30 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.

Answer:

10 multiple choice

15 descriptive

Step-by-step explanation:

Trial and error

Answer: Choice A

y=0.0714x-9.2682

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Explanation:

I used GeoGebra (free graphing software) to find the line of best fit, aka the regression line. You can do so by hand, but I think it's tedious busywork and prefer to use technology whenever possible. Other graphing and spreadsheet programs are able to compute the regression line as well.

Check out the diagram below.

Domingo earns 715$ in the week that is his gross income

Answer:

C

Step-by-step explanation:

38.92 x 10^4 = 3892000

Answer:

(d) is ans.

Step-by-step explanation:

brcause point will move four digit the anawer will be =389.2x10^4

Answer:

A: ST is a segment bisector

Step-by-step explanation:

ST is a segment bisector. Point S cuts in between segment QP. While Point T cuts between segment PO.

Given info:

Compound Interest = Rs.1290

Rate of Interest = 15% p.a

Time = 2 years

[tex] \dag{\underline{\boxed{\sf{C.I = P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1}}}}[/tex]

Where

C.I = Compound Interest

P = Principle

R = Rate of Interest

N = Time

[tex]\textsf{ \underline{Solution-}}\\[/tex]

Here

C.I = Rs.1290

R = 15%

N = 2 years

Principle = ?

Now,Calculating the sum (Principle) borrowed by Rachna

[tex] \quad{: \implies{\sf{C.I = \Bigg[P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1 \Bigg]}}}[/tex]

Substituting the given values

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(1 + \dfrac{15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{(1 \times 100) + 15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \times \dfrac{115}{100} \bigg) - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{13225}{10000} \bigg) - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg( \cancel{\dfrac{13225}{10000}} \bigg) - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg({1.3225 - 1} \bigg) \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = P \times {0.3225}}}}[/tex]

[tex]\quad{: \implies{\sf{\dfrac{1290}{0.3225} = P}}}[/tex]

[tex]\quad{: \implies{\sf{\dfrac{1290 \times 1000}{0.3225 \times 1000} = P}}}[/tex]

[tex]\quad{: \implies{\sf{\dfrac{12900000}{3225} = P}}}[/tex]

[tex]\quad{: \implies{\sf{\cancel{\dfrac{12900000}{3225}} = P}}}[/tex]

[tex]\quad{: \implies{\sf{Rs.4000 = P}}}[/tex]

[tex]\quad{\dag{\underline{\boxed{\tt{\blue{Principle} = \purple{Rs.4000 }}}}}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

Hence,

The sum (Principle) is Rs.4000.

a) Assume y = [tex]x^{2}[/tex]

[tex]1b=\frac{k}{1^{2} }[/tex] k = 1b

[tex]y=\frac{1b}{x^{2} }[/tex]

b) y = 25

[tex]x^{2}=\frac{16}{25}[/tex]

[tex]x=\sqrt{\frac{4}{5} ^{2} }[/tex]

x = ±[tex]\frac{4}{5}[/tex]

x > 0, x = 4/5

{ Equation }

y=16/x² is required equation for y in terms of x and x=4/5 when y=25.

Two or more expressions with an Equal sign is called as Equation.

The table of values are

x         1         2         3         4

y        16        4        16/9      1

Given that y is inversely proportional to square of x.

y=k/x²

Let us consider

y=16 and x=1

16=k/1

k=16.

y=16/x²

So y=16/x² is equation for y in terms of x

b) We need to find value of x when y=25

25=16/x²

Use cross multiplication

x²=16/25

Take square root on both sides

√x²=√16/25

x=±4/5

If x>0 , so x=4/5

Hence y=16/x² is required equation for y in terms of x and x=4/5 when y=25.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Answer:

y

[tex] y2 - 2y - 3[/tex]

[tex](y - 1)(y + 3) [/tex]

[tex](3y - 1)(3y + 3)[/tex]

Step-by-step explanation:

you multiple the 3 with the 1

then factor

then divide by 3 again but the denominator goes in front of the y.

Answer:

3x+5y=35

Step-by-step explanation: 3 times how many pounds of apple he gets (5)and 5 times how many pounds of oranges he gets(4) equals the amount he spends on all.(3x5=15+5x4=20=35)

In general, the domain is the set of all x-values for the graph.  

The issue here is that this isn't the graph of a function.  A function has at most one y-value for each x-value and this graph has an infinite number of y-values for the single x-value of 1.

So, either your teacher is wanting you to say the domain is {1}, because that's the only x-value used by the graph, or they're wanting you to say this is a trick question, because this isn't the graph of a function.

The range is the set of all y-values, which is -9<y<9, but again, do they intend this to be a trick question?

The function that can be used to find t, the total number of gallons of water in the tank after w weeks will be t = -15w + 275

The initial volume of water in the tank is 275 gallons

The amount of water in the tank decreases at a constant rate of 15 gallons per week.

t = total number of gallons water in the tank after weeks

w = number of weeks

Therefore, the following equation/theory can be establish

The equation will be

t = 275 - 15w

or

t = -15w + 275

Check here for more details on how to find linear equations: https://brainly.com/question/17846793?referrer=searchResults

Answer:

The edited video would now be 5 Minutes 50 Seconds

Step-by-step explanation:

10-4.5=5.5

To subtract any percentage from a number, simply multiply that number by the percentage you want to remain. In other words, multiply by 100 percent minus the percentage you want to subtract, in decimal form. To subtract 20 percent, multiply by 80 percent (0.8).

Step-by-step explanation:

its 5.5 mins

here are the methods

1-0.45= 0.55  0.55*10= 5.5

or

its

45/100= 0.45  0.45*10min= 4.5  10mins-4.5mins= 5.5 mins

Answer:

i hated doing those

Step-by-step explanation:

Step-by-step explanation:

the straight angle ;

180 - 42 = 138

The isosceles triangle ;

138 + x + x = 180

2x = 42

x = 21

pllease give me a brainliest answer

Answer:

filedownload.ashx

Answer: B

Step-by-step explanation:

Answer:did u get it right

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

-9  * -9 = 81

-9 + -9 = -18

Answer: -9

Answer:

Step-by-step explanation:

Answer:

x=-11

Step-by-step explanation:

5x+2=4x-9

5x-4x=-9-2

x=-11

Answer:

Cup

Explanation:

Gallon is too large, it'll spill over.

Pound is just... Obviously not. You use that to weight people...

And ounce is smaller than a cup but we're talking about the most appropriate unit therefore your answer is cup.

Hope that helps <3

Answer:

The answer is c: 1cm/3in = 3 cm/Xin

Step-by-step explanation:

Answer:

It is correct because the smallest one is 3 the second one all together is 15 and the last one is 60.

Step-by-step explanation: Basically you can divide the 60 with 15 and you can divide 60 with 3.

60/15 = 4

60/3 = 20

and 4 can go in to 20 5 times so yeah.

And I hope I helped you out.

Answer:

2m²

Step-by-step explanation:

Apply the prime factorization method: 2³m², 2 · 5m⁴

Find the greatest common divisor: 2m²

Answer: 2m²

Answer: blue

Step-by-step explanation: it’s blue because when you see it, you can see the color blue. Also, blue is in blueberry :). Honestly, there isn’t a main reason why, but it’s blue.

Answer:

83 cm

Step-by-step explanation:

Let the length of the rectangle be L cm and the width be W cm.

L= 2W +3 -----(1)

Perimeter of rectangle= 2(length) +2(width)

2L +2W= 246 -----(2)

Substitute (1) into (2):

2(2W +3) +2W= 246

Expand:

4W +6 +2W= 246

Simplify:

6W +6= 246

Divide both sides by 6:

W +1= 41

W= 41 -1

W= 40

∴ width of the rectangle is 40cm.

Substitute value of W into (1):

L= 2(40).+3

L= 80 +3

L= 83

Thus, the length of the rectangle is 83 cm.

Answer:

Part A 70x+50=250

Part B(75x + 35) = 250 - 5x

Step-by-step explanation:

Here to form an equation you must add all the money that she earned and subtract the money that she had to spend We dont know how many car washes she did, so we must represent it with a variable, or x.

Answer:

Step-by-step explanation:

Part A: Rhett washed 3 cars and earned $50 in tips. y=70x+50

Part B: $75 - $5 = $70 (this is the amount charged minus the amount needed to get the job done per car wash)

the +35 is the tips extra/ constant that will be added after the jobs are done.

x is the number of car washes done

y would be the profit received.

so y = 70x + 35 (profit = value of car wash * number of cars washed + tips)