Jasmine ran 5 miles in 42.5 minutes. Caroline ran 3 miles in 26.4 minutes. Who ran at a faster pace?

Answer:

22 units

Step-by-step explanation:

split it into 3 sections, there are two sections of 2x3 and one of 1x10, together they make 22 units

Use the slope formula below:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.

[tex] \large{m = \frac{0 - ( - 7)}{0 - 6} } \\ \large{m = \frac{0 + 7}{ - 6} \longrightarrow \frac{7}{ - 6} } \\ \large \boxed{m = - \frac{7}{6} }[/tex]

We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.

[tex] \large \boxed{y = mx + b}[/tex]

The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.

[tex] \large{y = - \frac{7}{6} x + b}[/tex]

Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:

[tex] \large \boxed{y = - \frac{7}{6} + 0 \longrightarrow y = - \frac{7}{6} x}[/tex]

Answer

Hope this helps and let me know if you have any doubts! Good luck on your assignment!

Answer:

No choices listed.

Step-by-step explanation:

Answer:

Step-by-step explanation:

angle 1 is a central angle because the vertex is at the center of the circle and the central angles have same measure as the arc it inscribes, so

arc AB =30 °

Answer:

60

Step-by-step explanation:

Answer:

C(s) = total cost function

$5,500 base price to rent trucks

$250 per ton of sugar to be transported

Total Cost = Price per ton of sugar * # of tons + total cost to rent trucks

C(s) = $250s + $5,500

For 14 tons of sugar the total cost would be:

C(s) = $250(14 tons) + $5,500

C(s) = $9,000

Total cost to transport 14 tons of sugar would cost $9,000

please attach a diagram

Answer:

-2 (x + 3z) + 4x - 3y + 2z​

-2x-6x+4x-3y+2z

2x-4z-3y

hope it helps...

have a nice day!

Answer:

please answer is then you thanks me

Step-by-step explanation:

-2(x + 3z) + 4x - 3y +2z

-2x -6z + 4x - 3y + 2z

=2x - 4z - 3y

Answer:

log(4).

Step-by-step explanation:

By the law of logarithms:

log(8) - log(2)

= log(8/2)

= log(4).

Answer: 5.5. if you divide you will clearly see it is 5.5 so D

Step-by-step explanation:

Answer:

Jason - 9.375 miles per hour

Kevin -7.875 miles per hour

Step-by-step explanation:

Let Jason’s running speed be x miles per hour

Kevin runs 1.5 miles per hour less;

so his running speed will be (x-1.5) miles per hour

At any point, distance = speed * time

Their running time is same here;

Jason’s running time will be 5/x

Kevin’s running time will be 4.2/(x-1.5)

These times are equal;

So;

5/x = 4.2/(x-1.5)

5(x-1.5) = 4.2x

5x - 7.5 = 4.2x

5x-4.2x = 7.5

0.8x = 7.5

x = 7.5/0.8

x = 9.375 miles per hour

So kevin’s speed will be 9.375 - 1.5 = 7.875 miles per hour

Step-by-step explanation:

4x+11+8x+1=180 (the two angles given is supplementary angles)

11x+12= 180

11x=168

x=168/11

x=15.27

please give brainly if it helps

Answer:

x = 14

Step-by-step explanation:

Same side interior angles are supplementary.

Therefore ,

              ( 4x + 11)° + ( 8x + 1 )° = 180 °

                  4x + 11 + 8x + 1 = 180

                       12x + 12 = 180

                        12x = 180 - 12

                             12x = 168

                                 x = 14

Answer:

25.12 cm

Step-by-step explanation:

circumference= 2pi*r

3.14x8x2= 50.24

50.24/2= 25.12 cm

Or you could have just done 3.14 x8 which equals 25.12 as well

Answer:

P(E)=56256=732.  Step-by-step explanation:

Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row

Answer:

b. DC = 29 and DE = 44.5

Step-by-step explanation:

Given:

AB = 29

BD = 89

Required:

DC and DE

Solution:

✔️DC = AB (opposite sides of a parallelogram are equal)

Therefore,

DC = 29 (Substitution)

✔️DE = half of diagonal BD (Diagonals of a parallelogram bisect each other)

DE = ½(89)

DE = 44.5

Answer:

The rate of change is of of the area when the radius is 4 centimeters [tex]48\pi[/tex] square centimeters.

Step-by-step explanation:

Area of a circle:

The area of a circle of radius r is given by:

[tex]A = \pi r^2[/tex]

Implicit derivative:

To solve this question, we have to derivate implictly the equation as a function of t. Thus:

[tex]\frac{dA}{dt} = 2\pi r \frac{dr}{dt}[/tex]

The radius of a circle is increasing at a rate of 6 centimeters per minute.

This means that [tex]\frac{dr}{dt} = 6[/tex]

Find the rate of change of the area when the radius is 4 centimeters.

This is [tex]\frac{dA}{dt}[/tex] when [tex]r = 4[/tex]. Thus

[tex]\frac{dA}{dt} = 2\pi r \frac{dr}{dt} = 2\pi(4)(6) = 48\pi[/tex]

The rate of change is of of the area when the radius is 4 centimeters [tex]48\pi[/tex] square centimeters.

Answer:

x=93°

Step-by-step explanation:

the lower left interior angle of the triangle is 39° because it is an alternate-interior angle to the one marked as 39°

the lower right interior angle is 180-132, which is 87°

therefore, x=93° because the three angles must add to 180°

Answer:

10

Step-by-step explanation:

Answer: x=10-y

Step-by-step explanation:

Answer:

x - 8>-4-x

Step-by-step explanation:

Looking at x - 8>-4-x

Collect the like terms;

x+x > -4 + 8

2x < 4

x > 4/2

x < 2

Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4

Solution :

Given the average range of the holes drilled = 0.10 cm

The average diameter of the holes drilled = 0.25 cm

The sample size = 4

For the sample size of 4, the factor for control limit for the range ([tex]D_4[/tex]) = 2.28  (From the table of constants for X-bar and R-chart)

The upper control limit for the R-chart = R-bar x [tex]D_4[/tex]

                                                                = 0.10 x 2.28

                                                                = 0.228

Therefore, the answer is greater than 0.202 but less than or equal to 0.302

Answer:

The minimum is 59/12

Step-by-step explanation:

you should calculate the -b/2a = -7/6

you should put -7/6 in the x variable

Answer:

The roots for [tex]f(x) = \cos 4x - 4\cdot x^{2} + 9\cdot x[/tex] are [tex]x_{1} = -0.098[/tex] and [tex]x_{2} = 2.166[/tex], respectively.

Step-by-step explanation:

A root is a value of [tex]x[/tex] so that [tex]f(x) = 0[/tex]. Let suppose that function is the consequence of the subtraction between two functions, that is:

[tex]f(x) = g(x) - h(x)[/tex] (1)

If we know that [tex]f(x) = 0[/tex], [tex]g(x) = \cos 4 x[/tex] and [tex]h(x) = 4\cdot x^{2}-9\cdot x[/tex], then we have the following identity:

[tex]g(x) = h(x)[/tex]

We can estimate graphically the roots of [tex]f(x)[/tex] by graphing the following system:

[tex]y = \cos 4x[/tex] (2)

[tex]y = 4\cdot x^{2}-9\cdot x[/tex] (3)

Where roots are the points in which functions find each other.

With the help of a graphing, we estimate two solutions:

[tex](x_{1}, y_{1}) = (-0.098, 0.924)[/tex], [tex](x_{2}, y_{2}) = (2.166, -0.725)[/tex]

Answer:

[tex]4(3x)^{\frac{3}{2} }[/tex]

Step-by-step explanation:

Answer:

Total Cost = 29x + 0.32y

Step-by-step explanation:

It is 29x since you pay $29 per day, and x represents the number of days.

It is 0.32y since you pay $0.32 per mile, and y represents the number of miles.

Answer:

12 times

Step-by-step explanation:

Earth-Moon (EM) = 12⁵ miles

Sun-Mercury (SM) = 12⁷ miles

Sun-Jupiter (SJ) = 12⁸ miles

just FYI, these numbers are only a rough simplification for this example. the real distance are quite a bit different.

so, SJ/SM = 12⁸ / 12⁷ = 12¹ = 12

=> Jupiter is 12 times farther away from the Sun than Mercury.

12 times greater is the distance from the Sun to Jupiter than the distance from the Sun to Mercury.

Distance is the total movement of an object without any regard to direction.

Given:

Earth-Moon = 12⁵ miles

Sun-Mercury = 12⁷ miles

Sun-Jupiter = 12⁸ miles

so,

Sun-Jupiter/Sun-Mercury

= 12⁸ / 12⁷

= 12¹

= 12

Hence, Jupiter is 12 times farther away from the Sun than Mercury.

Learn more distance here:

https://brainly.com/question/15172156

#SPJ2