1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gekata [30.6K]
3 years ago
15

Carlos and Maria drove a total of 233 miles in 4.4 hours. Carlos drove the first part of the trip and averaged 55 miles per hour

. Maria drove the remainder of the trip and averaged 50 miles per hour. For approximately how many hours did Maria drive? Round your answer to the nearest tenth if necessary.
A)1.8 hours
B)3.1 hours
C)2.7 hours
D)2.6 hours
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
8 0
So basically
D=RT
distance=rate times time

D=233
carlos speed=55
maria speed=50
total time=4.4 hours

so therefor we have to represent
carlos time
maria time
carlos distance
maria dstance

let's say that
remember that whatever carlost drove is 233 minus maria (time and distance)
and since we are solving for maria time and distnace, solve in terms of them
maria time=t
maria distance=d
carlos time=4.4-t
carlos distance=233-d

remember total D=RT
find their seperate equations
carlos
233-d=55(4.4-t)

maria
d=50(t)
use them to solve

233-d=55(4.4-t)
subsitute 50(t) for d
233-50t=55(4.4-t)
add 50t to both sides
233=55(4.4-t)+50t
distribute using distributiver protperty (a(b+c)=ab+ac)
55(4.4-t)=242-55t
233=242-55t+50t
add like terms
233=242-5t
add 5t to both sides
233+5t=242
subtract 233 from both sides
5t=9
divdie both sides by 5
t=1.8
maria drove 1.8 hours

the answer is A
You might be interested in
Mark earns $135 for selling a $1,500 refrigerator. Which sale listed has the same commission rate? A) $36 commission on a $400 d
sdas [7]
So the percentage Mark makes comparative to the price of the refrigerator sold is \frac{135}{1500}=0.09= 9%. If we take 9% of the given sale prices:
A: 0.09*400=36
B: 0.09*500=45
C: 0.09*1400=126
D: 0.09*600=54

So (A) has the same commission rate.
4 0
3 years ago
80.3 time 0.58 must show work
baherus [9]
Answer:46.574 it's simple multiplication
6 0
3 years ago
A regular pentagon ABCDE is shown work out angle x
kow [346]

Answer:

108 degrees inside each corner

Step-by-step explanation:

360/5=72

180-72=108

5 0
3 years ago
Does the order of information matter when writing a proof? (geometry)
n200080 [17]

Answer:

Yes it does matter

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
simon makes 30 cakes he gives 1/5 of the cakes to sali he gives 10% of the 30 cakes to jane what fraction of the 30 cakes does h
babunello [35]

Answer:

7/10

Step-by-step explanation:

1/5=6

10%=3

30-6-3

21

21/30=7/10

7 0
3 years ago
Other questions:
  • Which property is shown in the matrix addition below?
    7·2 answers
  • What is the equation of a line that passes through points (0, 4) and (-4,-8)?​
    9·2 answers
  • Use distributive property to rewrite problem so it had only two factors. Then solve (25x9)+(75x9)=
    6·1 answer
  • Question deals with vectors.
    10·1 answer
  • Answer this: Solve for X
    15·2 answers
  • Select all answers that apply. Wave diffraction depends on the:
    15·2 answers
  • Solves 1.4 divided by 0.2 using the diagram at the right. is her reasoning correct explain
    11·2 answers
  • The perimeter of a rectangle is 24 cm. if the length is y cm, what is the width?
    11·1 answer
  • A store offers a discount of 40%. The discount price of a shirt is $42 . What is the regular price?
    11·2 answers
  • On a coordinate plane, a straight red line with a negative slope, labeled g of x, A graph shows the number of texts, numbered 10
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!