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
elena-s [515]
3 years ago
7

Luke and Aisha are traveling on the same road in the same direction. Luke is driving at a rate of 50 miles per​ hour, and Aisha

is driving at a rate of​ 55 miles per hour. Write and solve an inequality to find when Aisha will be ahead of Luke on the highway. Let x represent time​ in hours.
Mathematics
2 answers:
tigry1 [53]3 years ago
8 0

Speed of Luke while driving=50 miles per hour

Speed of Aisha while driving=55 miles per hour

⇒After x hours

Distance =Speed × Time

Distance travelled by luke after x hours =50x mile

Distance travelled by Aisha after x hours =55x mile

We will find common multiple of 50 and 55 which is 550.

So, After 11 hours luke will cover 550 miles and after 10 hours Aisha will cover 550 miles.

So, Aisha will be always ahead of Luke if their speeds are 55 miles per hour and 50 miles per hour respectively on the highway.

So, 55x>50x.

Nataly_w [17]3 years ago
7 0

If x is the time, in hours, then:

x(55)=x(50)+15

5x=15

x=3 hours before Aisha is ahead of Luke

hope this helps you!

You might be interested in
Let u= <4,3>. Find the unit vector in the direction of u, and write your answer in component form.
aksik [14]
Take the vector u = <ux, uy> = <4, 3>.

Find the magnitude of u:

||u|| = sqrt[ (ux)^2 + (uy)^2]

||u|| = sqrt[ 4^2 + 3^2 ]

||u|| = sqrt[ 16 + 9 ]

||u|| = sqrt[ 25 ]

||u|| = 5

To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is

u/||u||

u * (1/||u||)

= <4, 3> * (1/5)

= <4/5, 3/5>

and there it is.

Writing it in component form:

= (4/5) * i + (3/5) * j

I hope this helps. =)
3 0
3 years ago
Tyler baked 702 cookies he sold them in boxes of 18 after selling all of the boxes of cookies for the same amount of each he ear
jenyasd209 [6]

Keywords:

<em>Cookies, boxes, sale, profit, unit cost </em>

For this case we have to bake an amount of 702 cookies, which were distributed in boxes of 18 for sale. Selling each box at the same price earned a profit of 136.50 dollars, you want to know the unit cost of each box of cookies.

Let "x"be the number of boxes of cookies:

So, to know the number of boxes we divide 702 cookies among 18:

x = \frac {702} {18}\\x = 39

So, we have Tyler sold 39 boxes of cookies

Now, let "y" be the cost of each box of cookies, to know the unit cost or sale price of the cookie boxes, we divided 136.50 dollars among 39 boxes of cookies, then:

y = \frac {136.50} {39}\\y = 3.5

Thus, the cost of each box was 3.5 dollars.

Answer:

The cost of a box is 3.5 dollars

5 0
3 years ago
Read 2 more answers
There are 5 cocoa pods in a bag.
Virty [35]

Answer:

416 g

Step-by-step explanation:

The mean is calculated as

mean = \frac{sum}{count} , then

\frac{sum}{5} = 398 ( multiply both sides by 5 )

sum of 5 pods = 1990 g

let x be the weight of the sixth pod , then

\frac{1990+x}{6} = 401 ( multiply both sides by 6 )

1990 + x = 2406 ( subtract 1990 from both sides )

x = 416

That is the weight of the sixth pod is 416 g

6 0
2 years ago
A pollster contacts 74 people in the 18-21 age bracket and finds that 38 of them respond and 36 refuse to respond. When 297 peop
Nonamiya [84]

Answer:

0,250

Step-by-step explanation:

The probability that you looking for is sum of probability of getting someone in the 18-27age (74 persones) and probability to getting someone who refused (36 and 19 persones) - probability of getting some of 18-27 age who refused (36 persons).

The probability is:

P(a or b)= p(a)+p(b)-p(a&b)=74/371+(36+19)/371-36/371=0,199+0,148-0,097=0,250

7 0
3 years ago
The mean weight of 25 student in a class is 58kg. The mean weight of a class of 29 students is 62kg. Find the mean weight of all
WARRIOR [948]

Answer:

weight of 25 students

25 × 58 = 1450kg

weight of 29 students

29 × 62 = 1798kg

total students = 25 + 29 = 54

total weight of students = 1450 + 1798 = 3248

mean weight of all students = 3248/54 = 60.19kg

6 0
3 years ago
Other questions:
  • Write a formula for function f in terms of function g.
    14·1 answer
  • Indicate the first step in the universal order of operation
    8·2 answers
  • Which quadratic regression equation best fits the data set?
    11·2 answers
  • Circle the numbers divisible by 2.<br><br>320;5,763; 9,308; 5,857;3,219; 5,656; 83,001;53,634​
    11·1 answer
  • A sporting goods manager was selling a ski set for a certain price. The manager offered the markdowns shown on the right, making
    15·2 answers
  • Ms. Winter is organizing a march where people will walk in equal rows. She wants to have more than 611 people in the
    9·1 answer
  • Quien me ayuda<br> (((2) ³) ²) ⁰<br> ((((-3) ²) ²) ³) ⁰
    5·1 answer
  • Ben is paid £8.50 per hour.
    6·1 answer
  • Find the value of X if H is the midpoint of JG, GJ equals 4X -6 and GH equals 27.
    7·1 answer
  • Pls help means show me how to show the work and the outcome and ya
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!