Darren and Carl each go for a morning jog before work. Darren's jogging pace
is represented by the equation y = 5x where y is the number of miles he jogs
and x is the number of hours he jogs. Carl's pace is given by the graph.
35
28
Distance (miles)
21
14
2
3
5
Time (hours)
Choose the statement that correctly compares their unit rates.
O A. Carl's unit rate is equal to Darren's unit rate.
O B. Carl's unit rate is 2 fewer miles per hour than Darren's unit rate.
O C. Carl's unit rate is 1 more mile per hour than Darren's unit rate.
D. Carl's unit rate is 2 more miles per hour than Darren's unit rate.

Answer:

Select the values that make the statement true.

StartFraction n Over 100 EndFraction = StartFraction 1 Over d EndFraction = p%

n =

✔ 5

d =

✔ 20

p =

✔ 5

Step-by-step explanation:

PLZ give brainliest!!! <3

Answer:

13 milliliters

Step-by-step explanation:

it is 13

A literal equation is x^2 + 2y = 1 because it contains more then one distant variable while y = 4 doesn’t, it only contian y.

An equation represents equality of two or more mathematical expression.

When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

A Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

A literal equation is x^2 + 2y = 1 because it contains more then one distant variable while y = 4 doesn’t, it only contian y.

Therefore, y=4 is not a literal equation because it has y as the only variable that appears.

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

Answer:

acute

Step-by-step explanation:

All sides are smaller than 90 degrees

Answer:

c) 10√2

Step-by-step explanation:

Two angles are same, means this is an isosceles triangle.

So,

x=10

Now, by using pythagoras theorem,

y=√(10²+10²)

=10√2

Answer:

4th degree, so option 2

Step-by-step explanation:

the graph has 4 zeros (coordinates where y=0)

Answer:

y = 2x + 10

Step-by-step explanation:

Remember, slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

To write the equation in slope-intercept form, we can just solve the equation for slope-intercept form.

y - 4 = 2(x + 3)

Distribute the 2 on the right side.

y - 4 = 2x + 6

Add 4 to both sides.

y = 2x + 10

Notice, now we have the equation in slope-intercept form.

I hope this helps. Happy studying.

Answer:

3         8

18       48

22.5   60

27       72

Step-by-step explanation:

3:8 ratio

18/3=6

8*6=48

Answer:

48

60

72

Step-by-step explanation:

1. Find the number of times x or the first column numbers are multiplied to get y or the second column numbers.

2. Equation: 3*?=8, ? = 8/3

3. Multiply all of the other numbers by 8/3 to get the answers.

4. 3*8/3=8, 18*8/3=48, 22.5*8/3=60, 27*8/3=72.

Answers: 48, 60, 72

Answer:

17160

Step-by-step explanation:

first there are 13 options

then there are 13 - 1 that was chosen

then there are 13 - 2 that were chosen

then there are 13 - 3 that were chosen

so that's 13 options, then 12 options, then 11 options, and then 10 options

and in order to figure out all of the possibilties we mutiply the options so

13*12*11*10 = 17160

little further explaining of why this works:

we have a set of letters (3 in a set)

A B C

what are the possible combinations?

AB

AC

BC

BA

CA

CB

the answer is 6 which is also 3 * 2 * 1 = 6

HOPE THAT HELPS!1! ^_^

Using the Fundamental Counting Theorem, it is found that there are 28,561 ways in which four cards, each of a different face value, can be chosen.

Fundamental counting theorem:

States that if there are n things, each with [tex]n_1, n_2, …, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, four cards are chosen, each with 13 ways, hence [tex]n_1 = n_2 = n_3  = n_4 = 13[/tex], and:

[tex]T = 13 \times 13 \times 13 \times 13 = 13^4 = 28561[/tex]

There are 28,561 ways in which four cards, each of a different face value, can be chosen.

A similar problem is given at https://brainly.com/question/19022577

Answer:

fwe

Step-by-step explanation:

Answer:

Point C

Step-by-step explanation:

Since -0.095 is less negative than -0.1 it will be closer to zero and this number line more towards the right. since each dash in the line represents 0.01 and the difference between -0.1 and -0.095 is only 0.005 it will be really close to -0.01.

Answer:

The answer is "[tex]\bold{11000(0.83)^t}[/tex]".

Step-by-step explanation:

[tex]\bold{ \text{selling price}} = \$ 11,000 \\\\\bold{ \text{loses}} = 17 \%[/tex]

[tex]\bold{\to f(t)= c (1-r)^t} \\\\[/tex]

           [tex]=11,000 (1- 0.17)^t\\\\=11,000(0.83 )^t[/tex]

Answer:

1 1/7

Step-by-step explanation:

Answer:

8/7

Step-by-step explanation:

16/7=[tex]\frac{16}{7} \\[/tex] then divide it by 2 and you get 8/7

Answer:

x = 52.5

<A = 152.5°

<BCG = 45°

Step-by-step Explanation:

Sum of interior angles of n-sided polygon = (n - 2)180

Sum of interior angles of hexagon = (6 - 2)180 = 4(180) = 720°

Therefore, sum of all the interior angles in the given hexagon = 720.

Thus:

3x - 5 + 2x + 140 + 135 + 2x + 30 + x = 720

Solve for x. Add like terms.

8x + 300 = 720

Subtract 300 from both sides

8x = 720 - 300

8x = 420

Divide both sides by 8

8x/8 = 420/8

x = 52.5

<A = (3x - 5)

Plug in the value of x

<A = 3(52.5) - 5 = 152.5°

<BCG = 180 - (2x + 30) (angles on a straight line)

Plug in the value of x

<BCG = 180 - (2(52.5) + 30)

<BCG = 180 - (105 + 30)

<BCG = 180 - 135

<BCG = 45°

Answer:

34 days 4 hours and 40 minutes

Step-by-step explanation:

First convert 3,962km to miles.

There are 1.609km in 1 mile so:

3,962km/1.609km = 2461.87 miles ≈ 2,462mi

If your walking speed is 3mph then divide the distance by 3.

2462/3 = 820.67hours.

Let's figure out the number of days, hours, minutes.

820.67hr/24 = 34.1944 days since we have a fraction of a day, let's figure out hours.

.1944 x 24 = 4.6666  So 4 hours and some minutes, let's figure out the minutes.

.66666 x 60 = 40

At 3mph it will take you 34 days 4 hours and 40 minutes to walk from New York to Los Angeles if you take no breaks and don't sleep.

Answer:

Answer below

Step-by-step explanation:

It would be 36×2=72

since we're doubl8ng it so there would be 72 hooded sweatshirts

Answer:

24 Hooded Sweatshirts

Step-by-step explanation:

36/3=12

2x12=24 or hooded sweatshirts

1x12=12 or crewneck sweatshirts

12+24=36 total sweatshirts :)

Answer:

Wow that is great

Step-by-step explanation:

is there a question? uhhhmmmmm

Answer:

[tex](-5,\frac{1}{2} )[/tex]

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]

Simply plug in your coordinates into the midpoint formula to find midpoint:

R(-2, 3)

S(-8, -2)

[tex](\frac{-2+-8}{2},\frac{3+-2}{2} )[/tex]

[tex](\frac{-10}{2},\frac{1}{2} )[/tex]

[tex](-5,\frac{1}{2} )[/tex]

Answer:

Number 4 is the correct answer: (-3, 5)

Answer:

Duru's definition: A line segment is a line connecting two endpoints. Oliver's definition: A line segment is when three points are all on the same line.

Answer:

they aren't the same ratio

Step-by-step explanation:

ratio of 5:10 then 9:15

5/10 and 9/15

and that is simplified

2.5/5 and 3/5 so they aren't the same ratio

Answer:

-2

Step-by-step explanation:

When you fill it in you get 4(2)+3(-3)-1 then multiply and add

Answer:

Ambos números son [tex]-\frac{25}{8}[/tex] y [tex]\frac{50}{21}[/tex]

Step-by-step explanation:

La mitad de una cantidad es el resultado de partir en dos partes iguales dicha cantidad, siendo cada una de esas partes es la mitad de la cantidad inicial. Por lo que la mitad de un número se calcula dividiendo el número por 2.

El recíproco o inverso multiplicativo de un número x es el número que, cuando es multiplicado por x , da 1.  Es decir, el producto de un número y su recíproco es 1. Para obtener el recíproco de un número, sólo divide 1 por el número. Entonces el reciproco de un numero cualesquiera x es [tex]\frac{1}{x}[/tex].

El doble o duplo de un número se calcula multiplicando el número por 2.

La diferencia es el resultado de la resta o sustracción.

Entonces:

Entonces:

[tex]\frac{1}{x}[/tex]÷2 + [tex]\frac{1}{y}[/tex]*2 = [tex]\frac{1}{x}+1[/tex] Ecuación (A)

Siendo la diferencia de los recíprocos de los números igual a una decima, entonces

[tex]\frac{1}{x}+\frac{1}{y}=\frac{1}{10}[/tex] Ecuación (B)

Entonces, de la ecuación (B) se obtiene:

[tex]\frac{1}{y}=\frac{1}{10}-\frac{1}{x}[/tex] Ecuación (C)

Reemplazando en la ecuación (A):

[tex]\frac{1}{x}[/tex]÷2 +( [tex]\frac{1}{10}-\frac{1}{x}[/tex])*2 = [tex]\frac{1}{x}+1[/tex]

Resolviendo:

[tex]\frac{1}{x}[/tex]÷2 + [tex]\frac{1}{10}*2-\frac{1}{x}*2[/tex] = [tex]\frac{1}{x}+1[/tex]

[tex]\frac{1}{x}[/tex]*[tex]\frac{1}{2}[/tex] - [tex]\frac{1}{x}*2[/tex] - [tex]\frac{1}{x}[/tex]= 1- [tex]\frac{1}{10} *2[/tex]

[tex]-\frac{5}{2}*\frac{1}{x}=\frac{4}{5}[/tex]

[tex]\frac{1}{x} =\frac{4}{5}[/tex] ÷ [tex](-\frac{5}{2})[/tex]

[tex]\frac{1}{x} =-\frac{8}{25}[/tex]

[tex]x=-\frac{25}{8}[/tex]

Entonces, reemplazando en ecuación (C)

[tex]\frac{1}{y}=\frac{1}{10}-\frac{1}{-\frac{25}{8} }[/tex]

[tex]\frac{1}{y}=\frac{1}{10}+\frac{8}{25}[/tex]

[tex]\frac{1}{y}=\frac{21}{50}[/tex]

[tex]y=\frac{50}{21}[/tex]

Entonces, ambos números son [tex]-\frac{25}{8}[/tex] y [tex]\frac{50}{21}[/tex]

Usando un sistema de ecuaciones, se encuentra que  los números son: [tex]-\frac{1}{4}, -2[/tex]

Si la mitad del reciproco de un numero se suma al duplo del reciproco de otro, la suma es uno mas que el reciproco del primer numero, o sea:

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

La diferencia de los reciprocos de los numeros es una decima, o sea:

[tex]\frac{1}{x} - \frac{1}{y} = 10[/tex]

[tex]\frac{y - x}{xy} = 10[/tex]

[tex]y - x = 10xy[/tex]

[tex]y = 10xy + x[/tex]

[tex]y = x(10 + y)[/tex]

[tex]x = \frac{y}{10 + y}[/tex]

Reemplazando en la primera ecuación:

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

[tex]\frac{10 + y}{2y} + \frac{2}{y} = 1 + \frac{10 + y}{y}[/tex]

[tex]\frac{10 + y + 4}{2y} = \frac{y + 10 + y}{y}[/tex]

[tex]\frac{14 + y}{2y} = \frac{2y + 10}{y}[/tex]

[tex]14y + y^2 = 4y^2 + 20y[/tex]

[tex]3y^2 + 6y = 0[/tex]

[tex]3y(y + 2) = 0[/tex]

[tex]y + 2 = 0[/tex]

[tex]y = -2[/tex]

[tex]x = \frac{y}{10 + y} = \frac{-2}{10 - 2} = -\frac{1}{4}[/tex]

Los números son: [tex]-\frac{1}{4}, -2[/tex]

Un problema similar es dado en https://brainly.com/question/24646137

Answer:

A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.

Step-by-step explanation:

Given that:

Charges of taxi 1 = $3.00 per mile

Charges of taxi 2 = $1.77 per kilometer

1 mile = 1.61 kilometers

To find:

Cost of a 12 miles ride for taxi 1 and taxi 2.

Solution:

Let us first convert the charges of each taxi to per mile.

Taxi 1 charges are already given in per mile.

Charges for 1 mile = $3

Charges for 12 miles = 3 [tex]\times[/tex] 12 = $36

Taxi 2 charges = 1.77 [tex]\times[/tex] 1.61 = $2.85 per mile

Charges for 12 miles = 2.85 [tex]\times[/tex] 12 = $34.20

Therefore, the answer is:

A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.