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Alecsey [184]
3 years ago
14

The Highest Common Factor of three numbers is 6 and the Lowest Common Multiple is 24 What are the three numbers?​(PLEASE HELP)

Mathematics
1 answer:
Arlecino [84]3 years ago
7 0

Answer:

the three numbers most probably are 12, 8, 6

Step-by-step explanation:

LCM of these three number is 24.; ( 12x2, 8x3, 6x4)

out of these three numbers 12 has the highest common factor which is 6. because 6x2 is 12. if you compare the other two they have a common factor less than 6.

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I am pretty sure that the median is 80, correct me if I'm wrong :)
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Ratling [72]
We can use the ratios for special triangles (see the attachment below). We'll be using the 45-45-90 triangle. We notice that side BC is equal to x \sqrt{2}, and side AC (x using the special right triangle) is equal to 16. We can therefore say that side BC is equal to 16 \sqrt{2} ft

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Jack is mixing a cleaning solution that is 12% bleach.After mixing the solution,jack has 150 ounces of cleaning solution.how man
marysya [2.9K]
To solve for the ounces of bleach that Jack used, we utilize the formula below

Bleach = (Percentage of bleach)*(Total ounces of cleaning solution)
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5 0
3 years ago
30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...
Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is -\frac{1}{4}

Thus, r=-\frac{1}{4}

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is a_{n}=a_{1} \cdot r^{n-1}

To find the fifth term, substitute n=5 in a_{n}=a_{1} \cdot r^{n-1}

\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}

To find the sixth term, substitute n=6 in a_{n}=a_{1} \cdot r^{n-1}

\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}

To find the sum of the first six terms:

The general formula to find Sn for |r| is S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}

\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}

Thus, the sum of first six terms is 38.39

5 0
3 years ago
Complete the equation for the standard form of the line that has an x-intercept of -5 and a y-intercept of -4.
Verdich [7]

Answer:

Intercept form     \frac{x}{-5} + \frac{y}{-4} = 1

The standard form of the equation of the line

   4 x + 5 y +20 =0

Step-by-step explanation:

<u><em>Explanation</em></u>

Given that x-intercept (a) = -5

and y-intercept (b) = -4

Intercept form

                 \frac{x}{a} + \frac{y}{b} = 1

                \frac{x}{-5} + \frac{y}{-4} = 1

          ⇒   \frac{4x+5y}{-20}  = 1

                4 x + 5 y = -20

<u><em>Final answer:-</em></u>

The standard form of the equation of the line

               4 x + 5 y +20 =0

7 0
3 years ago
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