B lies between points a and c . if ab=8 and ac=24 find bc.

Choose the correct subject pronoun.

Elan Coil [88]

Answer:

D

Step-by-step explanation:

4 0

3 years ago

A car is moving at a fixed speed. The distance D that the car covers is then directly proportional to the time T it moves.

worty [1.4K]

We were told that the distance $D$ is directly proportional to the time $T$ .

We write this mathematically as,

$D\propto T$

We can now introduce our constant of variation and write the equation for the direct equation as;

$D=kT$

where $k$ is the constant of variation or constant of proportionality.

We substitute $D=20$ and $T=15$ , in to the equation of variation to obtain the constant of proportionality.

That is;

$20=k\times15$

This implies that,

$\frac{20}{15}=k$

This simplifies to give us,

$k=\frac{4}{3}$

Now our equation of proportion becomes,

$D=\frac{4}{3}$

When T=20

$D=\frac{4}{3}\times20$

$D=\frac{80}{3}$

Writing this as a mixed number we obtain,

$D=26\frac{2}{3}$

This can also be rewritten as

$D=26.67$ correct to one decimal places.

Therefore the care covers $26.67$ miles in $20$ minutes.

6 0

3 years ago

Please I beg you help me

Elena L [17]

Answer:

Option D

Step-by-step explanation:

Going through the choices will help determine which option best simulates the random selection of a voter.

Flip a coin three times, and assign outcomes as follows: HHH, HHT, or HTH = Nava; HTT, THH, or THT = Jensen; TTH = Moretti, TTT = Chang.

Given that it is a random selection of the 4 candidates, it means the probability of choosing either one of them is equivalent. From the option, it can be found that Nava and Jensen have a higher chance of being voted than Moretti and Chang, which would not fit the criteria of being randomly selected.

Roll a number cube, and assign outcomes as follows: 1 or 2 = Nava, 3 or 4 = Jensen, 5 = Moretti, 6 = Chang.

Again, Nava and Jensen have a higher chance of being voted than Moretti and Chang. Therefore, this is not the correct option to simulate random selections of the 4 candidates.

Roll a number cube, and assign outcomes as follows: 1, 2, or 3 = Nava, 4 = Jensen, 5 = Moretti, 6 = Chang.

Nava has a higher chance of being voted, so this option does not fit the stimulation.

Flip a coin twice, and assign outcomes as follows: HH = Nava, HT = Jensen, TH = Moretti, TT = Chang

In this scenario, all 4 candidates have an equal chance of being voted, so this option would best simulate the random selection of a voter from the city.

Hope this helps :)

8 0

3 years ago

The (average) sales price for single family property in Seattle and Port Townsend is tabulated below.

Andreyy89

Answer:

$y=6,850x - 13,456,500$