S (3, -5), T (0, -2), U (-3, -5)<br><br> scale factor = 4<br><br> S' = <br><br> T' = <br><br> U'=

The product 1/6 x 3/2 will be less than or greater than 1/6

garik1379 [7]

Answer:

The product of 1/6 × 3/2 will be greater than 1/6.

Step-by-step explanation:

Let's start by converting the fraction 3/2.

$\frac{3}{2} = 1\frac{1}{2} = 1.5$

We are given a number greater than 1. Since you are multiplying 1/6 by a number greater than 1, the answer is an increased value compared to the original number.

We can also prove this the mathematical way:

$\frac{1}{6} \times \frac{3}{2} = \frac{1 \times 3}{6 \times 2} = \frac{3}{12} = \frac{1}{4}$

1/4 > 1/6, or 0.25 > 0.1(6)

5 0

3 years ago

Could I please get some help on this?

steposvetlana [31]

34 inches have the same length of 0.0008636 kilometers.

8 0

3 years ago

Slope of a line that goes through the points (4,-1) and (3,8)

san4es73 [151]

y2-y1/x2-x1

8-(-1)/3-4=

9/-1=

-9

the slope of the line is -9

8 0

3 years ago

How many ways can a committee chairman choose 4 people for a subcommittee if there are 12 members on the whole committee?

Marina86 [1]

A group of k elements can be chosen from a group of n elements in $\frac{n!}{k!(n-k)!}$ ways.

$(^{12} _4)=\frac{12!}{4!(12-4)!}=\frac{12!}{4! \times 8!}=\frac{8! \times 9 \times 10 \times 11 \times 12}{2 \times 3 \times 4 \times 8!}=\frac{9 \times 10 \times 11 \times 12}{2 \times 3 \times 4}= \\ \\
=3 \times 5 \times 11 \times 3=495$

The answer is B. 495.

7 0

3 years ago

For a certain bathtub, the hot water faucet can fill the tub in 12 minutes. The cold water faucet can fill the tub in 8 minutes.

Fofino [41]

If both faucets are used together, it time taken by them to fill the tub is 4.8 minutes.

<h3>What is the concept of time and work?</h3>

Time and work share a fundamental idea in common with other arithmetic topics, namely the idea of proportionality.

When the amount of work is constant, efficiency is inversely proportional to the length of time required.

Important Time and Work Formula:

Work Done = Time Taken × Rate of Work.
Rate of Work = 1 / Time Taken.
Time Taken = 1 / Rate of Work.
If a piece of work is done in x number of days, then the work done in one day = 1/x.
Total Wok Done = Number of Days × Efficiency.
Efficiency and Time are inversely proportional to each other.

Calculation for the time taken by both faucet to fill the tub.

The unit should be tub per minute.

Then, do the reciprocal of the result to have minute per tub.

The hot water faucet can fill the tub in 12 minutes.

The cold water faucet can fill the tub in 8 minutes.

The filling rate for both faucets filling the tub at the same time is the sum of their rates.

Let 't' be the time taken by both faucets.

Then,

$\frac{1}{12} +\frac{1}{8} =\frac{1}{t}$