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3 years ago

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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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

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5 0

3 years ago

30 points!! What is the sum of the first six terms of the series? 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:

Explanation

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

Final answer:-

The standard form of the equation of the line

4 x + 5 y +20 =0

7 0

3 years ago

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

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