A cyclist travels 45 miles in 3 hours. What is the cyclist's speed?

Hint: Use the formula: d = r x t (distance = rate x time)

Remember that division and multiplication are INVERSE operations. So, 45 = r x 3

so you will have to divide the distance by the time to get the rate.

45 ÷ 3 to find the rate



A: 15 miles per hour

B: 12 miles per hour

C: 16 miles per hour

Answer: -8 degrees

Step-by-step explanation: 12-4 is 8 so the difference is -8

Answer:

y = 219 -6x

Step-by-step explanation:

The money she will have remaining (y), will be the amount of money she started with subtracted by the amount of money spent each week multiplied by the number of weeks (x)

Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

Two sets of data, set X and set Y are given

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

Therefore, both the data sets has same range and mean.

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.  

To learn more about S.D and variance,

https://brainly.com/question/15858152

https://brainly.com/question/12402189

Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

We know

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

also

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.

Answer: -2

Step-by-step explanation: The slope of a line refers to its direction and steepness. The slope can be expressed as a fraction that is commonly refered to as rise over run. In order to find the slope of a line, you need to find two coordinates on the line and use the "rise over run" method. The numerator (rise) is how many units up or down while the denominator (run) is how many units left or right. There are two given points on this specific line. To get from one to the other, you must go down 4 units and to the right 2 units; therefore, the slope, or rise over run, is -4/2. This can be simplified to -2/1, which can be simplified even further to just -2.

Answer:

-2/3

Step-by-step explanation:

The slope formula is y₁-y₂/x₁-x₂ so all we need is 2 points and the ones provided are -4, 3 and -2, -1 so all we do is plug them in to get 3--1/-4-2 which equals to 4/-6 which is -2/3

Would be amazing if you marked brainliest :)

Answer:

$3.00

Step-by-step explanation:

0.05*60= 3.00

Hope this helps! :) Pls mark brainliest if correct

Answer:

$3

Step-by-step explanation:

$0.05 x 60 minutes = $3

Answer:

Bartering

Step-by-step explanation:

Hope this helps!

Answer:

d

Step-by-step explanation: im incorrect

Hence, 750 is the number.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

Yes, this does describe the speed and velocity.

Step-by-step explanation:

The dictionary definition of speed is "the rate at which someone or something is able to move or operate", which is stated. The speed is 468 km per minute. The dictionary definition for velocity is "the speed of something in a given direction". We know the speed, and the direction is also given (south to north direction) therefore, the velocity and speed are both described.

Answer:

416 mm^3

Step-by-step explanation:

The equation for the volume of a rectangular prism is

\(Volume = Length * Width * Height\)

We will use Length = 5 mm, Width = 10.4 mm, and Height = 8 mm

\(V = 5mm * 10.4mm * 8mm\\\\=416 mm^3\)

Important things to note:

- The unit in the final answer is mm^3 because when you multiply "like terms" together, their exponents are added together

\(a^b*a^c*a^d\\\\= a^b^+^c^+^d\)

Answer: x=230 and y=75

Step-by-step explanation: A triangle is worth 360 degrees, which means when you add up all the angles it equals 360 degrees. So

Second patio:

(x-10),60+80 = 360

x-10+140 =360-140

x-10=220+10

x=230

First patio:

(x+10)+(y+5)+40 = 360

x+y+55=360

x+y=360-55

x+y=305- x(230) =75

y=75

Answer: x = 50, y = 75

The sum of angles of a triangle is equal to 180°

according to the question, (x+10) + (y+5) + 40 = 180 -- eq(1)

(x-10) + 60 + 80 = 180 -- eq(2)

(x - 10) + 140 = 180

x - 10 +140 = 180

x + 130 = 180 , x = 180 - 130

x = 50

put x value in eq(1)

50+10 + (y+5) + 40 = 180

60+(y+5)+40 = 180

y+5 +100 = 180

y + 105 = 180

y = 180 - 105

y = 75

So, x = 50 and y = 75.

To learn more about triangles,

https://brainly.com/question/25215131

Answer:

78+25+61+55+64=283

360-283=77

180+77=257

Answer:

16x^2 - (12+12)x + 9

16x^2 -12x -12x +9

4x(4x-3)-3(4x-3)

(4x-3)(4x-3)

hence length of one side is 4x-3

Answer:

x = 10

Step-by-step explanation:

First, subtract 10 from both sides

Next, Simplify

Then, subtract 5/3x from both sides

After, simplify

Lastly, multiply both sides by 3

Then finally simplify for your final answer of x = 10

Hope this helps! :)

Answer:

x = 10

Step-by-step explanation:

  x + 10 = 1/3(5x + 10)
  x + 10 = 5/3x + 10/3
3x + 30 = 5x + 10
       20 = 2x
        10 = x

Answer: 208.75

Step-by-step explanation:  The result of 526.8−318.05 is 208.75. Basically

you use long subtraction to solve this equation. The image I attached will show you how to do it:

Answer:

I think it’s a and b

Step-by-step explanation:because The scale factor of 2 means the new shape obtained after scaling the original shape is twice of the shape of the original shape.

Answer: \((g-h)(x) =-3x+2\)

\((g\times h)(x)=10x^2+10x\)

\((g+h)(-1)=-5\) .

Step-by-step explanation:

Given, \(g(x) = 2x+2\\ h(x)=5x\)

To write:  the expressions for \((g-h)(x)\) and \((g x h)(x)\) .

To evaluate :  \((g+h)(-1).\)

As  \((g-h)(x) = g(x)-h(x)\)

\(= (2x+2-(5x))\)  [substituting the values of \(g(x)\) and \(h(x)\)]

\(= 2x-5x+2=-3x+2\)

So,  \((g-h)(x) =-3x+2\)

Now, \((g \times h)(x)= g(x)\times h(x) =(2x+2)\times 5x\)

\(=2x\times 5x +2\times5x\\=10x^2+10x\\\\\Rightarrow\ (g\times h)(x)=10x^2+10x\)

Now, \((g+h)(-1)= g(-1)+h(-1) = (2(-1)+2)+(5(-1))=-2+2-5=-5\)

So, \((g+h)(-1)=-5\) .

Answer:the answer is 36

Step-by-step explanation:i just guessed

Answer:

375.3

Step-by-step explanation:

if one gram is 50.04 then just times by 7.5

50.04 × 7.5 = 375.3

hope this helps

Answer:

i this its no

Step-by-step explanation:

she will need 217 square feet of paint

i think

Answer:

enough

Step-by-step explanation:

she will paint 114 square feet

Answer:

220 miles

Step-by-step explanation:

the original answer is 219.9 but you should always round. Hope this was helpful

Answer:

D is the right choice and no you cannot fit the pizza inside the box.

Step-by-step explanation:

D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.

Answer:

I believe the answer is D.

Step-by-step explanation:

GOOGLE

Answer: THE ANSWERS ARE A AND B

Step-by-step explanation:

Answer:

y = 12

Step-by-step explanation:

the equation is

y = 3x

You find the constant or proportionality by put y/x

(15,45) is in the form (x,y)  The x is 15 and the y is 45.  Put this in the form y/x and you get 45/15 or 3.  3 is the constant of proportionality.

y = 3x

y = 3(4)

y = 12

Answer:

A

Step-by-step explanation:

Answer:

I think the answer is a.

shoe, 50% is 75, 10% is 15

dress, 15% is 345, 6% is 138

bike, 20% is 100, 6% is 30

Answer:

#3 (the shoe) = $82.5

#4 (the dress) = $2,072.30

#5 (the bike) = $424

Step-by-step explanation:

Because you take the total value, multiply it by the rate of the discounted value and subtract that number from the total. Then you want to find the total amount with tax after the discount, so you would multiply the total you got before by the amount of tax, then add that amount to that number and that would be your answer with the discount and tax! (When multiplying a percentage, you move over the decimal 2 places to the left. So, with a 25% discount, you would multiply the total by .25 and then subtract that number from the total price!)

Answer:

A

Step-by-step explanation:

We can solve for H by isolating it on one side of the equation, as follows:

J/H - I/H = G

Taking H as the common denominator:

(J - I)/H = G

Multiplying both sides by H:

J - I = GH

Adding I to both sides:

J = GH + I

Dividing both sides by G:

H = (J - I)/G

So the answer is

(A)

H = (J - I)/G.

Answer:   A

Step-by-step explanation:

\(\frac{J}{H} = G + \frac{I}{H}\)                >Since you are solving for H bring I/H to the other side

                                   by subtracting I/H from both sides

\(\frac{J}{H}- \frac{I}{H} = G\)               >There is a common denominator so you can

                                   combine the fractions

\(\frac{J-I}{H} = G\)                   >Multiply both sides by H or cross multiply whichever

                                  way your mind things about how to get H on top

\(J-I = G(H)\)           >Divide both sides by G

\(\frac{J-I}{G} = H\)                   >Answer is A