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3 years ago

Kasie likes to jog every morning before work. She can jog 3 miles in 30 minutes, if she

Mathematics

2 answers:

timofeeve [1]3 years ago

7 0

Answer:

12 miles

Step-by-step explanation:

3 miles per 30 minutes

2 hours is made of 4 30 minutes, so 3 x 4 = 12

Shalnov [3]3 years ago

7 0

Answer:

The answer is 12 miles

Step-by-step explanation:

30 minutes is half an hour.

If 30 minutes is half an hour then, 2 hours is 120 minutes.

3 miles in this problem is 30 minutes, so 120 divided by 30 is 4 and 4x3 is 12.

You might be interested in

How would you measure the volume of a brick that contains holes

vaieri [72.5K]

In order to measure the volume of a brick that contains holes, what you need to do is to get the volume of both the brick as a whole, and the volume of the holes. Once you have the volume, you subtract the volume of the holes to the volume of the brick. The final answer would be the volume of a brick that contains holes. Hope this helps!

3 0

3 years ago

The quantity demanded x each month of Russo Espresso Makers is 250 when the unit price p is $138. The quantity demanded each mon

Stells [14]

Answer:

(a) $D(q)=\frac{-1}{25} q+148$

(b) $S(q)=\frac{1}{50}q+58$

Step-by-step explanation:

(a) For the demand equation D(q) we have

P1: 138 Q1: 250

P2: 108 Q2: 1000

We can find m, which is the slope of the demand equation,

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{108-38}{1000-250} =\frac{-30}{750}=\frac{-1}{25}$

and then we find b, which is the point where the curve intersects the y axis.

We can do it by plugging one point and the slope into the line equation form:

$y=mx+b\\\\D(q)=mq+b\\\\138=\frac{-1}{25}(250) +b\\\\138=-10+b\\\\138+10=b=148$

With b: 148 and m: -1/25 we can write our demand equation D(q)

$D(q)=\frac{-1}{25} q+148$

(b) to find the supply equation S(q) we have

P1: 102 Q1: 2200

P2: 102 Q2: 700

Similarly we find m, and b

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{72-102}{700-2200} =\frac{-30}{-1500}=\frac{1}{50}$

$y=mx+b\\\\D(q)=mq+b\\\\72=\frac{1}{50}(700) +b\\\\72=14+b\\\\72-14=b=58\\$

And we can write our Supply equation S(q):

$S(q)=\frac{1}{50}q+58$

(c) Now we may find the equilibrium quantity q* and the equilibrium price p* by writing D(q)=S(q), which means the demand equals the supply in equilibrium:

$D(q)=S(q)\\\\\frac{-1}{25}q+148=\frac{1}{50}q+58\\\\$

$148-58=\frac{1q}{50} +\frac{1q}{25} \\\\90= \frac{1q}{50} +\frac{2q}{50}\\\\90=\frac{3q}{50}\\ \\q=1500\\\\$

We plug 1500 as q into any equation, in this case S(q) and we get:

$S(q)=\frac{1}{50}q+58\\\\S(1500)=\frac{1}{50}(1500)+58\\\\S(1500)=30+58\\\\S(1500)=88$

Which is the equilibrium price p*.

8 0

3 years ago

5(x – 10) = 30 – 15x Solve

Doss [256]

Answer:

x=4

Step-by-step explanation:

5(x-10) = 30- 15x

5x - 50= 30 - 15x

+15x +15x

20x - 50 = 30

+50 +50

20x = 80

/20 /20

x = 4

Hope this helps!

7 0

3 years ago

A radio station plays a total of 272 pop, rock, and hip-hop songs during a day. The number of pop songs is 3 times the number of

Norma-Jean [14]

Let the daily played number of pop songs be P, the number of rock songs be R and the number of hip-hop songs be H.

i)
"A radio station plays a total of 272 pop, rock, and hip-hop songs during a day"

means that : P+R+H=272

ii)
"The number of pop songs is 3 times the number of rock songs. "

so, P=3R

iii)
"The number of hip-hop songs is 32 more than the number of rock songs."

means: H=32+R

iv)

since both P and H can be written in terms of R, we have:

P+R+H=272

(3R)+R+(32+R)=272

3R+R+32+R=272

5R+32=272

5R=272-32=240

R=240/5=48

vi)

thus: P=3R=3*48=144, H=32+R= 32+48=80

Answer:

48 Rock, 144 Pop and 80 Hip-hop

5 0

3 years ago

Find the slope. ( include whether positive or negative.)

dsp73

Answer:

that is a negative slope

but dont know how to find the slope sorry

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers