10. Mr. Guerrero left his house and drove north at an average speed of 40 mph.Two hours later, his daughter Miranda left the house and drove the sameroute as her father, but at an average speed of 48 mph. How far from homewere they when Miranda overtook her father?
10. Mr. Guerrero left his house and drove north at - 1

Answers

Answer 1
Answer: Speed=distance / time  ⇒ distance=time x speed
distance=d
time=t
speed= s

d=s*t

Distance  traveled by Mr Guerrero, when his daugther left the house
Data:
s=40 miles/ hour
t=2 hours
d=40 miles/ hour * 2 hours=  80 miles

Total distance traveled by Mr Guerrero:
d=80 miles + 40 miles/hourt    ⇒d=80+40t      (1)

d=total distance.
s=speed.
t=time spent by Miranda for she overtook her father.

Distance traveled by Miranda.
data:

s=48 miles/ hour
d=total distance.
t=time spent by Miranda for she overtook her father.

d=48 miles/hour * t      ⇒d=48t       (2)

With the equations (1) and (2), we make an system of equations:

d=80+40t
d=48t

We can solve this system of equation by equalization method.

80+40t=48t
80=48t-40t
80=8t
t=80/8=10

d=48t
d=48*10=480

Answer: the thistance will be 480 miles.

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Express the phrase as a rate and a unit rate: 20 dollars for 4 books

Answers

20÷4=5 you have to do 5/1 is the unit rate

the answer is 5 dollars per book.

Lusia ran 3 2/3 kilometers in 1/3 of an hour. If speed is distance over time, calculate lusia's speed.

Answers

In the question, they give you the formula for speed...

speed = distance / time

They also give you the distance and the time, so all we have to do is stick them into the equation...

speed =  3 2/3 Km / 1/3 hour
speed = 3 2/3 / 1/3

To divide the fractions, first we need to convert 3 2/3 into an improper fraction

3 2/3 = 11/3

now we multiply 11/3 x the reciprocal of the divisor 1/3.  The reciprocal just means flip the numerator and denominator

speed = 11/3 x 3/1
speed = 33/3
speed = 11 Km/hour

What is 4L 710mL - 2L 690 mL

Answers

Answer:

2L and 20mL, or 2020mL

Step-by-step explanation:

We can solve this problem in two ways:

  • Making operations with liters and milliliters separately
  • Converting all measurements to the same unit and subtracting

With the fist way:

4L-2L=2L

and

710mL - 690mL= 20mL

anwer is 2L and 20mL wich is the same as 2020mL

With the second way:

Fist conveting everything to mL 4L =4000mL

thus:

4L+710mL =4000mL+710mL=4710mL

and 2L=2000mL

thus:

2L+690mL=2000mL+690mL =2690mL

and then subtracting the two values:

4710mL - 2690mL= 2020mL


4L - 2L = 2L

710mL - 690mL = 20mL

your final answer is... 2L  20mL

What is 11/16 as a decimal and percent

Answers

0.6875 or 68.75% (69% if you round up)
0.6875 and 68.75% ....................

I Need HELP!

how do you figure out 22/7=5/X

Answers

(22 )/(7)= (5)/(x) \n \n x\neq 0 \n \n 22x=7*5\n \n22x=35 \ \ /:22 \n \nx=(35)/(22)\n \nx=1(23)/(25)

The Art club is having a fundraiser, and 198 people are attending. if 12 people can sit at EACH table, what is the least number of the tables needed?

Answers

Answer:

17

Step-by-step explanation:

because 12 people can sit at each table, so youd divide 198 by 12 to see how many tables youd need, and you get 16.5. you cant have 16.5 tables, so always round up when it comes to objects, humans, things, etc. so you get 17