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
Gelneren [198K]
3 years ago
7

Problem 2. Smasher Van bound for Koronadal City leaves Polomolok every 15 minutes

Mathematics
1 answer:
astraxan [27]3 years ago
7 0

Answer:

5. c. Every 1 hour

6. c. 4 times

7. b. 3 times

Step-by-step explanation:

The given parameters of the rate of departure of the two vans are;

The rate of departure of Smasher Van bound for Koronadal City = Every 15 minutes

The rate of departure of Nustafa Van= Every 20 minutes

5. The time, 'x', when the two vans leave at the same time is given by the Lowest Common Multiple (LCM) of 15 and 20 as follows;

Multiples of 15 = 15, 30, 45, 60

Multiples of 20 = 20, 40, 60

Therefore, the LCM of 15 and 20 = 60

The time, when the two vans leave at the same time = Every 60 minutes = Every 1 hour

The time, when the two vans leave at the same time = Every 1 hour

6. The number of times the Smasher Van leaves Polomolok so that the two vans leave together is given by the number of multiples 15 minutes in 60 minutes = 60 minutes/(15 minutes) = 4 times

7. The number of times the Nustafa Van leaves Polomolok so that the two vans leave together is given by the number of multiples 20 minutes in 60 minutes = 60 minutes/(20 minutes) = 3 times.

You might be interested in
37% of 293 estimate​
earnstyle [38]

Answer:

108.41

Step-by-step explanation:

7 0
3 years ago
A vending machine operator has determined that the number of candy bars sold per week by a certain machine is a random variable
docker41 [41]

Answer:

The answer is below

Step-by-step explanation:

Let Y represent the profit per day, and x represent the number of bar sold per day. Hence:

Y = 0.25x - 2

a) The mean is given as:

\mu_y=E(Y)=E(0.25X-2) = 0.25E(X)-2\\\\But\ E(X)=mean\ of\ machine=125. Hence:\\\\E(Y)=0.25(125)-2=29.25\\\\E(Y)=\$29.25

b) The standard deviation of y is:

\sigma_y=var(0.25X-2)\\\\\sigma_y=0.25\sigma(X)\\\\but\ \sigma_X=7,hence:\\\\\sigma_y=0.25(7)=1.75\\\\\sigma_y=\$1.75

6 0
3 years ago
What is 11 1/2 + 10 11/16=
ahrayia [7]

Hey!



To solve this equation, we must first convert the mixed numbers into improper fractions. To do that we'll multiply the denominator by the whole number and add the total to the numerator.


<em>Original Equation :</em>

11\frac{1}{2} + 10\frac{11}{16} = ?


<em>New Equation {Converted Mixed Numbers Into Improper Fractions} :</em>

\frac{23}{2} + \frac{171}{16} = ?


Now that we've successfully changed our equation, we'll move onto the next step. Next we'll have change the fractions one more time so that the denominators are the same. To do that we'll multiply two by eight to get sixteen. We'll also be multiplying the top portion of the fraction by eight, because whatever you do to the bottom must also be done to the top; And vise versa.


<em>Fraction Conversion :</em>

\frac{23*8}{2*8} = \frac{184}{16}


So, now that we have our new fraction we can go ahead and plug that into our equation so we can start adding. Remember, we don't add the denominators, just the numerators.


<em>Old Equation :</em>

\frac{23}{2} + \frac{171}{16} = ?


<em>New Equation {Input New Fraction With Common Denominator} :</em>

\frac{184}{16} +\frac{171}{16} = ?


<em>Solution {New Equation Solved} :</em>

\frac{355}{16}


Now I'm not exactly sure how your instructor will accept your answer, but most prefer the final answer to be in the simplest form. In other words, they don't want it in the form of an improper fraction. They'd most likely rather have it as a mixed number.


<em>New Solution {Converted to a Mixed Number} :</em>

22\frac{3}{16}


Since the fraction cannot be simplified anymore, this should be our final answer.

<em>So, this means that the answer to the equation is </em> 22\frac{3}{16}.


Hope this helps!



- Lindsey Frazier ♥

5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP
Nat2105 [25]
A leg of a right triangle can never be greater then the hypotenuse

this formula will tell you if it's a valid right triangle
{?}^{2} + {?}^{2} = {?}^{2}
the first two question marks are the legs of the triangle while the one after the = is the hypotenuse.

THE STEPS:
{3}^{2} + { \sqrt{7}^{2} } = {4}^{2}
9 + {2.65}^{2} = 16
{2.65}^{2} = 7
9 + 7 = 16
ANSWER: \sqrt{7}
5 0
3 years ago
Tan(a)+cot(b) simplify please.
Hitman42 [59]

Answer:

tan a + cot b

Step-by-step explanation:

It's already simplified.

There are alternate forms like

sec(a)csc(b)cos(a-b)\\\\sec(a)csc(b)[sin(a)sin(b)+cos(a)cos(b)]\\\\\frac{sin (a)}{cos (a)} +\frac{cos(b)}{sin(b)}

5 0
3 years ago
Other questions:
  • Use the digits 2,3,and 5 to create a fraction and a whole number with a product greater than 2
    5·1 answer
  • How many times can 2 go into 15
    5·2 answers
  • Jamal uses the steps below to solve the equation 6x – 4 = 8.
    5·1 answer
  • In a right triangle the length of a hypotenuse is 6 and the length of one leg is 5. Find the length of the other leg,
    12·2 answers
  • Is 58 a prime or composite number
    7·1 answer
  • Z =<br> (4y – 25°<br> n<br> zº<br> 73°<br> y =<br> U
    11·1 answer
  • WILL MARK BRAINLIEST PLS HELP
    12·2 answers
  • pls help if you answer correctly i will give you brainliest and i will give a reward of a lot of points you just have to check b
    7·1 answer
  • An angle measures 30° more than the measure of its supplementary angle. What is the measure of each angle?
    13·1 answer
  • Rewrite in simplest radical form square root of x times the fourth root of x. Show each step of your process.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!