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
Nataly_w [17]
3 years ago
5

car traveled 576 mi averaging a certain speed. If the car had gone 8 mph​ faster, the trip would have taken 1 hour less. Find th

e average speed.
Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0

Answer:64mi/hour

Step-by-step explanation:

V=speed × time

V=s×t .....equation (1)

v=576

for taking one hour: t-1

speed is: s+8

From equation(1)

V=(s+8)(t-1)

(s+8)(t-1)=576

Expand the bracket

st-s+8t-8=576

Substitute the value of st which is 576

576-s+8t-8=576

Collect the like terms

-s+8t-8=0

s=8t-8

Subtitude into the value of s

576= (8t-8)×t

576=8t^2-8t

8t^2-8t=576

8t^2-8t-576=0 (divide both by 8)

t^2-t-72=0

By factorization method

Product is (-9 and 8)

(t-9)(t+8)=0

t=9 or t=-8

V=s×t

576=s×9

9s=576

s=576/9

s=64mi/hour

You might be interested in
Plz help :p <><><><><><>
mezya [45]

Answer:

its -27/64

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
When a number decreased by 10% the result in 63. What is the number?
Ugo [173]
The number is 69.3 because percent means 0.01, so 10 x 0.01 = 1.1
so 1.1 x 63 = 69.3. you can also do 63 x 10% = 69.3.
4 0
3 years ago
Divide a six-sided polygon into triangles to find the sum of its interior angles.
mars1129 [50]
The answer is C. 1080. i got this by multiplying 180 by 6.
7 0
3 years ago
Read 2 more answers
Melanie packs boxes of envelopes into a larger box. The volume of each box of envelopes is 1,200 cubic centimeters. Which is the
Eva8 [605]

Answer:

the awnser is 12,000, mealine has 12000

Step-by-step explanation:

8 0
3 years ago
∠A and ∠ B ∠B are vertical angles. If m ∠ A = ( 3 x − 21 ) ∘ ∠A=(3x−21) ∘ and m ∠ B = ( 2 x − 13 ) ∘ ∠B=(2x−13) ∘ , then find th
Sav [38]

Answer:

x=8

Step-by-step explanation:

start by setting angle a equal to angle b

next add 21 to the opposite side

then subtract 2x from the opposite side

finally you're left with x=8

3 0
3 years ago
Other questions:
  • Based on the function F(x) = x^4 - 3x^3+ x^2 +2 and the graph of G(X) below,
    13·1 answer
  • A real estate agent received a 17,500 commission on the sale of a 350,000 house on walnut street. The same agent received a20,00
    5·1 answer
  • 3. A function f(x) has a slope of -and passes through
    14·1 answer
  • 7.8y + 2 = 165.8 show work
    9·2 answers
  • 30,000+2,000+500+8
    5·1 answer
  • A class of sixty voted for class president. 30% voted for brad and 70% voted for Jane. How may votes did the winner get?
    9·1 answer
  • A computer is priced at 899.99. There is am 8.25% sales tax. What is the total amount that will be paid for the computer, includ
    10·1 answer
  • In how many different ways can 5 boys be seated in 3 chairs
    13·1 answer
  • ( x - 7 )/ ( x - 2 ) = 5/4 , Therefore x = -------------
    10·1 answer
  • Using the imagine below, find the measure of angle y.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!