answer.
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
N76 [4]
2 years ago
5

Two cars simultaneously left Points A and B and headed towards each other, and met after 3 hours and 15 minutes. The distance be

tween points A and B is 364 miles. What is the speeds of the cars, if one of the cars travels 12 mph faster than the other?
Mathematics
2 answers:
Maurinko [17]2 years ago
5 0

Answer:

Speed of one car=50 mph

Speed of another car=50+12=62 mph

Step-by-step explanation:

Speed of one  car= x mile/hr

Speed of another car=(x+12) miles/hr

Time=3 hours 15 minutes=3+\frac{15}{60}=\frac{13}{4} hr

Because 1 hr=60 minutes

Distance between point A and B=364 miles

Distance =speed\times time

According to question

\frac{13}{4}x+\frac{13}{4}(x+12)=364

\frac{13x}{4}+\frac{13x}{4}+39=364

\frac{26x}{4}=364-39=325

\frac{13x}{2}=325

x=\frac{325\times 2}{13}=50

Speed of one car=50 mph

Speed of another car=50+12=62 mph

ella [17]2 years ago
3 0

Answer:

  50 mph, 62 mph

Step-by-step explanation:

Their total speed is found from ...

  speed = distance/time

  speed = (364 mi)/(3.25 h) = 112 mi/h

If s is the speed of the slower car, then ...

  s + (s+12) = 112 . . . . . their total speed is 112 mph

  2s = 100 . . . . . . . . . . simplify, subtract 12

  s = 50 . . . . . . . the speed of the slower car

  s+12 = 62 . . . . the speed of the faster car

You might be interested in
Suppose the area of a circle is 254.4696 square inches. Whats the radius of the circle? Use pie=3.1416. A. 18 in B. 81 in. C. 9
andrezito [222]

Answer:

radius = 9 inches

Step-by-step explanation:

Area = \pi r^{2}

r = radius

Area = 254.4696 square inches

so we have:

r^{2} = \frac{A}{\pi} \\\\r = \sqrt{\frac{A}{\pi}} \\\\r = \sqrt{\frac{254.4696}{3.1416}} \\\\r = \sqrt{81}

so we have: r = 9 inches

6 0
2 years ago
Given a rectangular pyramid and a rectangular prism that have the same base and same height, how do their volumes compare? If th
Luden [163]
We know that
volume of <span>a rectangular prism =B*h------> equation 1
where
B is the area of the base
h is the height 

volume of </span><span>a rectangular pyramid=(1/3)*B*h-----> equation 2
where
</span>B is the area of the base
h is the height 
<span>
substitute equation 1 in equation 2
</span>volume of a rectangular pyramid=(1/3)*volume of a rectangular prism
<span>
the answer part a) is
</span>volume of a rectangular pyramid=(1/3)*volume of a rectangular prism
<span>
Part b) </span><span>If the pyramid was full of water, how much of the prism would it fill up?
</span>
the answer part b) is
<span>If the pyramid was filled with water, the prism would only fill 1/3 of its volume

Part c) </span><span>Name another pair of three-dimensional objects that have a relationship similar to this

cones and cylinders

</span>volume of a cylinder =B*h------> equation 1
where
B is the area of the base
h is the height <span>

</span>volume of a cone=(1/3)*B*h-----> equation 2
where
B is the area of the base
h is the height 

substitute equation 1 in equation 2
volume of a cone=(1/3)*volume of a cylinder
4 0
2 years ago
With a beginning balance of $2500 and no additional charges, there is no grace-period, you will just pay the minimum payment eac
valkas [14]

Answer:

a = $31.23 per month

b = $20.83 per month

c = 249.98 = $249.98 interest charges

                   = $624-249.98 = 374.02 profit part decrease 8% inc.                  

d = 35.35%

e = Answer is in the name; basic payment is a contract which means whilst account remains open charges are requested without fail. Should balance be less or on zero, charges are still applied.

Step-by-step explanation:

2500 x 1.2499 = interest only for start month 13 =3124.75

3124.75/ 100 x 1.08   = 8% of this = 249.98 each year.

We only have to divide each by 12 to work out monthly individual charges and subtract to find out payments.

3124.75 - 249.98 = 2874.77 = Total after charges each year.

249.98/12 = 20.83 = monthly charges.

3124.75- 2500 = 624.75 payments each year

624.75/12 = 52.06 month 1 payment before charge

52.06-20.83 =31.23 total minimum payment

2500 + 249.98

Percentage = 200:600 = 1/3 33% + (comparing to ratio 10:25 closer to 40%)

We find ratio 200:600= 33.33 + 49.995/24.75 = 2.02

33+2.02 = 35.35%

7 0
2 years ago
Two students compared the scores on their math tests. Their results on 9 tests are shown in the box plots below. Compare the box
Karolina [17]
C..The median of Nadia’s data is equal to the median of Ben’s data. D. Nadia had the highest score on a test......?.......?
4 0
2 years ago
Read 2 more answers
In general, the probability that it rains on Saturday is 25%. If it rains on Saturday, the probability that it rains on Sunday i
lora16 [44]

Answer:

40%

Step-by-step explanation:

From the given statements:

The probability that it rains on Saturday is 25%.

P(Sunday)=25%=0.25

Given that it rains on Saturday, the probability that it rains on Sunday is 50%.

P(Sunday|Saturday)=50%=0.5

Given that it does not rain on Saturday, the probability that it rains on Sunday is 25%.

P(Sunday|No Rain on Saturday)=25%=0.25

We are to determine the probability that it rained on Saturday given that it rained on Sunday, P(Saturday|Sunday).

P(No rain on Saturday)=1-P(Saturday)=1-0.25=0.75

Using Bayes Theorem for conditional probability:

P(Saturday|Sunday)=\frac{P(Sunday|Saturday)P(Saturday)}{P(Sunday|Saturday)P(Saturday)+P(Sunday|No Rain on Saturday)P(No Rain on Saturday)}

=\frac{0.5*0.25}{0.5*0.25+0.25*0.75}

=0.4

There is a 40% probability that it rained on Saturday given that it rains on Sunday.

5 0
2 years ago
Other questions:
  • You are going to spend $47.50 to play games at the fair. Each game costs $0.50 per play. Which of these equations best shows how
    14·2 answers
  • A company made a profit of $75,000 over a period of 6 years on an initial investment of $15,000. What is its annualized ROI? 26%
    13·2 answers
  • What is 1 1/3 subtracted from its reciprocal?
    6·2 answers
  • Solve the proportion using mental math. x/4=10/20
    14·2 answers
  • ‘write down £1 as a fraction of £8’
    11·2 answers
  • Fahi's age is 3/4 of Mia's age. The sum of their ages is 91. How much older is Mia than Fahi. Please give and equation and answe
    6·1 answer
  • Find the additive inverse of -7+5i.
    15·1 answer
  • a glass cylinder has a diameter of 7 inches and a height of 1.5 inches. Glass had a density of 2.58 grams per cubic centimeter.
    6·1 answer
  • Delia purchased a new car for $25,350. This make and model straight line depreciates to zero after 13 years.
    9·1 answer
  • Han is multiplying 10x^4 by 0.5x^3 and gets 5x^7 he says that 0.5x^3 is not a polynomial because 0.5 is not an integer.what is t
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!