The number of calories burned by a 90-pound cyclist is proportional to the number of hours the cyclist rides. The equation to represent this relationship is y = 225x. What is the constant of proportionality?

A:135

B:225

C:315

D:90

Answer:

70 kilometers

Step-by-step explanation:

Set up a proportion where x is the actual distance

[tex]\frac{1}{20}[/tex] = [tex]\frac{3.5}{x}[/tex]

Cross multiply:

x = (20)(3.5)

x = 70

So, the actual distance is 70 km

Answer:

x=-11, -1, and 3

Step-by-step explanation:

x^3+9x^2-25x-33=0

There are formulas to solve cubics, but that probably is not the way you are expected to go.  Here is a trial and error approach that works in this case.

Assume that the cubic can be factored and that the roots are r1, r2, and r3.  Then the factored form is

(x-r1)(x-r2)(x-r3)=0

This shows that the constant must equal the product of the roots.

(r1)(r2)(r3)=-33

One possibility is that the roots are integers.  In this case, a factor of 33 might work.  Prime factorization of 33 gives 3 and 11.  Try 3.  Then (x-3) is a factor.

Divide the cubic by (x-3).  It works. the result is

x^2+12x+11

This has factors of (x+11) and (x+1).  Therefore, the roots are 3, -1, and -11

Answer:

Step-by-step explanation:

18 cubic units.

:::::

Length = 90÷(6×3) = 10 units

:::::

10 cubes × (4 cm³)/cube = 40 cm³

:::::

2×5×6

and

5×3×4

Answer:

B

Step-by-step explanation:

Assuming Part A is the situation where the bags aren't merged, the probability of drawing a "1" followed by a "B" is (1/3)(1/4) or 1/12. This is because you have a 1/3 chance of getting a "1" and a 1/4 chance of getting a "B".

Now if we merge the bags, we have a 1/7 chance of getting a "1". We then have a 1/6 chance of getting a "B". This is because after we complete the first draw, the bag only has 6 remaining not 7. This gives us a probability of (1/7)(1/6) or 1/42.

So we know the probability will change so C is wrong. In both scenarios, we draw two balls anyways so A is wrong.

This leaves B, which is supported by the reasoning presented above.

Answer:

Look just at finding the linear model. Two points. Use price per gallon for x and gallons per hour sold for y. Your two points (x,y) are (2.15,1600) and (2.55,800).

Slope m=%281600-800%29%2F%280.15-0.55%29

m=800%2F0.40

m=2000

Using point-slope form for a line, and the lower-y point,

y-800=2000%28x-2.55%29

highlight%28y=2000%28x-2.55%29%2B800%29

Answer: What does the figure look like exactly?

Step-by-step explanation:

Answer:

im only doing this bc im forced to

Answer:

19

Step-by-step explanation:

180-85 = 5y

5y = 95

y = 19

Answer:

Step-by-step explanation:

x^(1/9)(x^(2/9))

x^(1/9+2/9)

x^(3/9)

x^(1/3)=6

x^(1/3)^(3)=6^3

x=216

Answer:

13.75 square feet

Step-by-step explanation:

all you have to do to find the area of a parallelogram is base * height

= 2.5 * 5.5

= 13.75 square feet

Answer:

13.75 ft^2

Step-by-step explanation:

I) Substitute equation to find the area

a = hb (area = height x base)

a = 2.5(5.5)

II) Solve:

a = 2.5(5.5)

a = 13.75

The area is 13.75 ft^2.

Answer:

mmmmmmmmkkkkkkkkkkkkkkkkkk

Answer:

7747

Step-by-step explanation:

8476 × 91.4%

=7747

∴ 7747 minor earthquakes occured in 2010

Answer:

Step-by-step explanation:first I don't know

Second I don't know

And finally I don't know

Answer:

A) Average weight = 112.97

standard deviation = 3.913

B) 119.4069

Step-by-step explanation:

A) Estimate the true average weight and standard deviation of the weight

attached below is a detailed solution

Average weight = 112.97

standard deviation = 3.913

B) Assuming a normal distribution Estimate the weight below

attached below is a detailed solution

= 119.4069

Answer:

Step-by-step explanation:

The sum of adjacent angles traversed by a line must equal 180 degrees.

128+x=180

x=52

Answer:

x=52 degrees

Step-by-step explanation:

x=180-128=52 degrees because x is supplementary to 128 degrees.

Answer:

d = 0.4

Step-by-step explanation:

-10 (d + 1) = - 14

=> -10d - 10 = -14

=> -10d = -14 + 10

=> -10d = -4

=> 10d = 4

=> d = 4 / 10

=> d = 0.4

Hope it helps :)

Please mark my answer as the brainliest

Answer:

THE NUMBERS ARE 10 AND 5

Step-by-step explanation:

LET THE ANOTHER NUMBER BE X THEN

ONE NUMBER = X - 5

BY THE QUESTION

X - 5 + X = 15

2X = 15 + 5

2X = 20

X = 10

X - 5 = 10 - 5 = 5

Answer:

hi 5 and 10 is required no.

let no. be x

another no.be x+5

Step-by-step explanation:

sum=15

x+x+5=15

2x=15-5

2x=10

x=10/2=5

x+5=5+5=10

Answer:

[tex]F = 1.8C + 32[/tex]

Step-by-step explanation:

Given

The attached table

Required

The relationship between both temperatures

This implies that we calculate the table equation

First, we calculate the slope (m)

[tex]m = \frac{F_2 - F_1}{C_2 - C_1}[/tex]

Where:

[tex](C_1,F_1) = (0,32)[/tex]

[tex](C_2,F_2) = (20,68)[/tex]

So, we have:

[tex]m = \frac{68 - 32}{20 - 0}[/tex]

[tex]m = \frac{36}{20}[/tex]

[tex]m = 1.8[/tex]

The equation is then calculated using:

[tex]F = m(C - C_1) + F_1[/tex]

This gives:

[tex]F = 1.8(C - 0) + 32[/tex]

[tex]F = 1.8(C ) + 32[/tex]

[tex]F = 1.8C + 32[/tex]

He made $1 944 in commission

Answer:

Plant A is increasing 2cm each day.

Plant B is increasing 6cm each day

Plant B is increasing 4cm more than Plant A each day.

4 and 2 because she is the acrooss line

Answer:

Hi liddywiddy, sorry you had to wait so long

There are 20 teachers in all

Step-by-step explanation:

the ratio 3:2 is now 12:x

12 / 3 = 4

so the multiplier is 4

now:

4x2 = 8

Next we add them: 12+ 8 = 20

Answer:

20 teachers in all

Step-by-step explanation:

12 / 3 = 4,

4 * 2 = 8,

so 12 + 8 = 20

Answer:

24

Step-by-step explanation:

Answer:

3x = 72

x = 24

3(24) = 72

24 boxes of juice need to be bought.

hope this helped yw

Answer:

4^7

Step-by-step explanation:

4^2 + 4^5

=> 4^ 2+5

=> 4^7

Answer:

Step-by-step explanation:

Answer:

tge reciprocal of 7/9 is 9/7 while the reciprocal of 9 is 1/9

In order to find the reciprocal of a number, we should just flop it over.

If we have a fraction, and we're asked to find its reciprocal, we should just flop it over.

Please consult the formula for more details:-

[tex]\sf{The~reciprocal~of~a~is~\frac{1}{a}} \\The~reciprocal~of~\frac{a}{b} ~is~\frac{b}{a} }}[/tex]

According to the formula,

[tex]\sf{The~reciprocal~of~\frac{7}{9} ~is~\frac{9}{7} }\\The~reciprocal~of~9~is~\frac{1}{9} }}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

2/5

Step-by-step explanation:

we know any number raised to power 1/2 means that we need to find the square root of that number.

(4/25)^1/2= =√(4/25)√4/√25

√4=2

√25=5

√(4/25=2/5

(hope this helps can i plz have brainlist :D hehe)

Answer:

x=4.5

Step-by-step explanation:

PR=28

PQ= 2x+5

Require

Find X

Answer:

geometric, with a common ratio of 1/2

Step-by-step explanation:

The sequence is geometric because you get successive trems by multiplying the previous term by a certain constant, the 'common ratio'. (If you got each successive term by adding or subtracting  the same constant number each time, that would be an arithmetic sequence.)

In this case, it looks like you get each successive term when you multiply the previous term by 1/2.

Thus, the common ratio is 1/2.

3x-x+2=4 is the answer <3

Answer:

-3

Step-by-step explanation:

7(-3x-7y-56)

-21x-49y-392

-3(-7x+10y-1)

21x-30y+3

because the eq. multiplied by 7 is negative, the second eq mus be positive in order to eliminate the x variable. this is why we multiply by a (-). by multiplying the second eq by 3, both eq. will result in a coefficient of 21. one positive one negative allowing the x variable to be eliminated from the problem.