Ask question

Ask question

All categories

3 years ago

5

Michiko usually runs d miles in t minutes, but today she ran an extra 9 miles, which took her an extra 70 minutes. Write the equ

ation for her normal speed: r0= Now, write the equation for her speed today: rT=

1 answer:

pantera1 [17]3 years ago

7 0

Usual distance michiko runs= d miles
Time=t
normal speed= r₀
speed today= r₁

According to the question,
r₀= d/t
r₁= d+9/t+70.

You might be interested in

What is the volume of the oblique cube

serious [3.7K]

Answer:

$\large\boxed{V=\dfrac{1600\pi}{3}\ cm^3}$

Step-by-step explanation:

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 10cm and H = 16cm. Substitute:

$V=\dfrac{1}{3}\pi(10^2)(16)=\dfrac{1}{3}\pi(100)(16)=\dfrac{1600\pi}{3}\ cm^3$

6 0

3 years ago

6(m-1) = 3(3m + 2) Show all work

nordsb [41]

Answer:

$\boxed{\sf m = -4}$

Step-by-step explanation:

$\sf Solve \: for \: m: \\ \sf \implies 6 (m - 1) = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \sf \implies 6 m - 6 = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: right \: hand \: side: \\ \sf \implies 6 m - 6 = 9 m + 6 \\ \\ \sf Subtract \: 9 m \: from \: both \: sides: \\ \sf \implies (6 m - 9 m) - 6 = (9 m - 9 m) + 6 \\ \\ \sf 6 m - 9 m = -3 m: \\ \sf \implies -3 m - 6 = (9 m - 9 m) + 6 \\ \\ \sf 9 m - 9 m = 0: \\ \sf \implies -3 m - 6 = 6 \\ \\ \sf Add \: 6 \: to \: both \: sides: \\ \sf \implies (6 - 6) - 3 m = 6 + 6 \\ \\ \sf 6 - 6 = 0: \\ \sf \implies -3 m = 6 + 6 \\ \\ \sf 6 + 6 = 12: \\ \sf \implies -3 m = 12 \\ \\ \sf Divide \: both \: sides \: of \: -3 m = 12 \: by \: -3: \\ \sf \implies \frac{ - 3m}{ - 3} = \frac{12}{ - 3} \\ \\ \sf \frac{ - 3}{ - 3} = 1: \\ \sf \implies m = \frac{12}{ - 3} \\ \\ \sf - \frac{12}{3} = - 4 : \\ \sf \implies m = - 4$

7 0

3 years ago

Answer using the quadratic formula (pls show work :) )

baherus [9]

-1/5, -4 I’m pretty sure and decimal form is -0.2, -4

7 0

3 years ago

What is the measure of angle XWY?

motikmotik

According to the vertical angle theorem when two lines intersects each other, the vertical angles that are formed are congruent to each other.

So, angle XWY is 74 degrees.

Hope this helps! Mark as Brainliest please! :)))

8 0

3 years ago

The equation 9 x 2 − 12 x + 4 = 0 9 x 2 − 12 x + 4 = 0 has how many different solutions?

Hatshy [7]

We have the equation:

$9x^2-12x+4=0$

so:

$a=9\qquad b=-12\qquad c=4$

and:

$\Delta=b^2-4ac=(-12)^2-4\cdot9\cdot4=144-144=\boxed{0}$

This equation has one solution.

5 0

3 years ago