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
zysi [14]
2 years ago
7

Mbali walks to the lake every third day. Nqabisa walks to the lake every

Mathematics
1 answer:
Crank2 years ago
8 0

Step-by-step explanation:

we need to find the LCM, the least (or lowest) common multiple, of 3 and 4.

that means the smallest number that can be divided by 3 and by 4 without remainder.

and that is simply in our case 3×4 = 12.

so, every 12th day they will walk to the lake "together" (on the same day).

FYI - formality the LCM is found e.g. by prime factorization.

starting with the smallest prime number (2) both numbers are divided by the prime number, if there is no remainder. the quotient is then again divided by the prime number. if there is a remainder, then the next higher prime number is taken for the division.

this goes on until we get a quotient of 1.

the LCM is then the product of the longest streaks of the products of the same prime numbers.

example LCM of 56 and 50

56 ÷ 2 = 28 (0 remainder)

28 ÷ 2 = 14 (0 remainder)

14 ÷ 2 = 7 (0 remainder)

7 ÷ 2 has a remainder, so the next prime number (3)

7 ÷ 3 has a remainder, so the next prime number (5)

7 ÷ 5 has a remainder, so the next prime number (7)

7 ÷ 7 = 1 finished

50 ÷ 2 = 25 (0 remainder)

25 ÷ 2 has a remainder, so the next prime number (3)

25 ÷ 3 has a remainder, so the next prime number (5)

25 ÷ 5 = 5 (0 remainder)

5 ÷ 5 = 1 finished

the longest streaks of prime number products :

2×2×2 = 8

5×5 = 25

7 = 7

the LCM = 8×25×7 = 1400

please consider, this is NOT 56×50 = 2800.

the LCM is not automatically just the product of both numbers. this product is a common multiple, true, but not always the smallest.

in our case here with 3 and 4

3 ÷ 2 has a remainder, so the next prime number (3)

3 ÷ 3 = 1 finished

4 ÷ 2 = 2 (0 remainder)

2 ÷ 2 = 1 finished

the longest prime number product streaks :

2×2 = 4

3 = 3

the LCM = 4×3 = 12

so, in this case the LCM is the direct product of both numbers.

You might be interested in
What is the slope of the line that contains the points (-1, 2) and (4, 3)?
Vika [28.1K]

Answer:

Slope: 1/5

Step-by-step explanation:

-1,2

4,3

-1 - 2 = -1

-1 - 4 = -5

-1/-5 = 1/5

6 0
2 years ago
PLEASE HELP WILL GIVE BRAINLIEST!!!The table below represents the closing prices of stock ABC for the last five days
irakobra [83]

Answer:

A. y=-8.583x+475.215

Step-by-step explanation:

We are given,

The table representing the closing prices of stock for the last five days is,

Day                         Value

1                                472.08

2                               454.26

3                                444.95

4                                439.49

5                                436.55

Using the linear regression calculator, we have that,

<h3>The linear equation that best fits the data is y=-8.583x+475.215</h3>

Thus, option A is correct.

5 0
3 years ago
50 POINTS !!<br><br><br> PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
maks197457 [2]

Answer:

16

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Leg <em>a</em> = <em>a</em>

Leg <em>b</em> = 12

Hypotenuse <em>c</em> = 20

<u>Step 2: Solve for </u><em><u>a</u></em>

  1. Substitute in variables [Pythagorean Theorem]:                                            a² + 12² = 20²
  2. Evaluate exponents:                                                                                         a² + 144 = 400
  3. [Subtraction Property of Equality] Isolate <em>a</em> term:                                           a² = 256
  4. [Equality Property] Square root both sides:                                                    a = 16
3 0
3 years ago
Read 2 more answers
Plz help
Sergio039 [100]
2(5*4)+2(4*3)+2(3*5)=94 sq.m (Orginial SA)
2(4*5)+2(5*6)+2(6*4)=148 sq.m (Total SA)

148-94=54 (New SA)
4 0
3 years ago
Read 2 more answers
The hypotenuse of a right triangle is 7 feet long. One leg is 4 feet longer than the other. Find the lengths of the legs, Round
Andrews [41]

Answer:

Shorter leg = 2.5 ft.

Longer leg = 6.5 ft.

Step-by-step explanation:

a^2 + b^2 = c^2

Because the hypotenuse = 7 ft, a^2 + b^2 = 49

To represent the two legs, we can use x and x+4.

x^2 + (x+4)^2 = 49

Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.

Then, using the quadratic formula, we find that x = 2.5.

Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.

5 0
3 years ago
Other questions:
  • the perimeter of a pentagon (a five-sided polygon) is 50 in. the five sides are represented by consecutive integers. Find the le
    8·1 answer
  • A recipe calls for 5 parts strawberry juice to 3 parts water. To make 64 fluid ounces of the strawberry drink. How many fluid ou
    15·1 answer
  • What value of c makes x2 − 12x + c a perfect square trinomial? −36 −24 24 36
    12·2 answers
  • How do i find the area of this regular hexagon? picture is included
    13·1 answer
  • How can i solve for x? <br>2x-y=3
    14·1 answer
  • PLZZ HELP
    5·2 answers
  • In order to solve the inequality -1/4 x &gt; 8, which of the following steps must be done?
    14·1 answer
  • -2-5 is equivalent (equal) to -2+(-5)<br> True<br> False
    15·1 answer
  • Can y’all help me with this one?
    11·2 answers
  • Which are true about the pyramid? Check all that apply.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!