MATHEMATICS HIGH SCHOOL

The least common multiple of 3, 4, 6, and 8 is
A. 72.
B. 24.
C. 96.
D. 8.

Answers

Answer 1
Answer:

Answer:

B. 24

Step-by-step explanation:

The least common multiple  of two numbers is the smallest number

that is a multiple of  all the numbers ( except 0)

Let us look at the multiples of the numbers given:

The multiples of 3,4,6 and 8 are:

3:    3,6,9,12,15,18,21,24.

4:    4,8,12,16,20,24.

6:     6,12,18,24.

8:    8,16,24.

24 is the smallest number that is a common multiple of all the numbers.

The least common multiple of 3, 4, 6, and 8 is 24.
Answer 2
Answer: The least common multiple of 3, 4, 6, and 8 is 24.

List the multiples out:

3: 3, 6, 9, 12, 15, 18, 21, 24
4: 4, 8, 12, 16, 20, 24
6: 6, 12, 18, 24
8: 8, 16, 24

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What is the area of the figure? A.
256 square inches

B.
288 square inches

C.
320 square inches

D.
384 square inches

Answers

The answer is a. What you need to do is find the area of the shape if it were a perfect rectangle - (20)(16)=320 in^2. Next you make an imaginary square in the corner (it's a square because it's 8in by 8 in) and find the area - 8^2 or (8)(8)=64. Finally you subtract the values - 320 - 64 = 256 in^2 voila.

if Justin is 2 years older than ethan and in 9 years the sum of their ages will be 38 how old are they now? Can someone please help me with this question

Answers

i think 38 - 2 = 36 so the answer is 36

Find the slope of each line that passes through each pair of points The points (3, 5) and (-2, 10) lie on a line. The points P (5,-7), Q (-2,-7) lie on a straight line

Answers

Answer:

  1. m = -1
  2. m = 0

Step-by-step explanation:

1.

\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)\n\n\left(x_1,\:y_1\right)=\left(3,\:5\right),\:\left(x_2,\:y_2\right)=\left(-2,\:10\right)\n\nm=(10-5)/(-2-3)\n\nm=(5)/(-5)\n\nsimplify\n\nm=-1

2.

\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)\n\n\left(x_1,\:y_1\right)=\left(5,\:-7\right),\:\n\left(x_2,\:y_2\right)=\left(-2,\:-7\right)\n\nm=(-7-\left(-7\right))/(-2-5)\n\nm=(-7+7)/(-7) \n\nm = (0)/(7)\n\nSimplify\n\nm =0

The quadratic equation (3k-2)x^2 +12x+3(k+1) =0 has equal roots. Find the two possible values of k.

Answers

x_1=x_2 \Rightarrow \Delta=0\n\Delta=12^2-4\cdot(3k-2)\cdot3(k+1)\n\Delta=144-(36k-24)(k+1)\n\Delta=144-36k^2-36k+24k+24\n\Delta=-36k^2-12k+168\n-36k^2-12k+168=0\n-3k^2-k+14=0\n-3k^2+6k-7k+14=0\n-3k(k-2)-7(k-2)=0\n-(3k+7)(k-2)=0\nk=-(7)/(3) \vee k=2

What number solves this propoetion? 2.4/m=3/4.5

Answers

\frac { 2.4 }{ m } =\frac { 3 }{ 4.5 } \n \n \frac { 4.5 }{ 3 } \cdot m\cdot \frac { 2.4 }{ m } =\frac { 3 }{ 4.5 } \cdot m\cdot \frac { 4.5 }{ 3 } \n \n m=\frac { \left( 4.5 \right) \left( 2.4 \right) }{ 3 } \n \n m=\frac { \left( 4+\frac { 1 }{ 2 } \right) \left( 2+\frac { 2 }{ 5 } \right) }{ 3 }

\n \n m=\frac { 8+\frac { 8 }{ 5 } +1+\frac { 2 }{ 10 } }{ 3 } \n \n m=\frac { 9+\frac { 16 }{ 10 } +\frac { 2 }{ 10 } }{ 3 } \n \n m=\frac { \frac { 90 }{ 10 } +\frac { 18 }{ 10 } }{ 3 }

\n \n m=\frac { \frac { 108 }{ 10 } }{ 3 } \n \n m=\frac { 108 }{ 10 } \cdot \frac { 1 }{ 3 } \n \n m=\frac { 108 }{ 30 } \n \n m=\frac { 3\cdot 36 }{ 3\cdot 10 } \n \n m=\frac { 36 }{ 10 } \n \n m=3.6

How do I do this O-O

Answers

Answer:

1)  x intercept-> 24

y intercept-> -6

2) slope-> 1/4x

3) i posted the screenshot in the description

4) -20 cups-   -1 dollar

(20*.25)-6

-30 cups- 1.5

-40 cups- 4 dollars

5)- $1 -> 4

$10->40

$100-> 400

Step-by-step explanation:

hope this helps!
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