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3 years ago

(05.03 LC)

Mathematics

1 answer:

never [62]3 years ago

8 0

Answer:

The correct answer is x = -5

Step-by-step explanation:

All vertical lines can we written in terms of x = (a number). You can find this number in the ordered pair under the x-coordinate. In this case it is -5.

You might be interested in

What property can we use to isolate the variable ,f

Stolb23 [73]

Answer:

To isolate variables you can either:

- subtract from both sides

- add to both sides

- multiply both sides (by the same number )

- divide from both sides

These were basic.

Some more advanced ones are :

- raise both sides to the same exponent

- root both sides by the same root.

It has to be an inverse operation however, for all of these properties. And remember, they only work because they are done to both sides.

4 0

3 years ago

5. Which of the following is a multiple of 8? A 4 C 20 B 8 D 100

snow_lady [41]

Answer:

Step-by-step explanation:

8 can be divisible by 8. Therefore, it would be a multiple of 8.

The first multiple of a number is always that number.

All other options given are not multiples of 8.

Hope this helps.

5 0

4 years ago

Read 2 more answers

3 Sean has 8-inch pieces of toy train track and Ruth has 18-inch pieces of train track. How

Morgarella [4.7K]

Answer:

Step-by-step explanation:

The smallest number that is divisible by two given numbers is called the Least Common Multiple (LCM) of those numbers.

What's the smallest number that is a multiple of 8 and also a multiple of 18?

One way to find out is to start making lists of multiples:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, and so on,

Multiples of 18: 18, 36, 54, 72, 90, 108, and so on.

This method can be a bit tedious, but in this case, it's clear that 72 is the LCM of 8 and 18.

Another method is to use the prime factorization of the two numbers.

Write 8 and 18 as the product of prime numbers; each number has a unique prime factorization.

8 = 2 x 2 x 2 = 2^3

18 = 2 x 3 x 3 = 2^1 x 3^2

To form the LCM, build a product of primes using the highest exponent in either of the two numbers.

LCM = 2^3 x 3^2 = 8 x 9 = 72.

7 0

3 years ago

If your car gets 28 miles per gallon and you travel 30 miles round-trip to work five days a week, how much do you pay each 4-wee

disa [49]

Answer:

You'd pay $65.35 every 4 weeks

Step-by-step explanation:

First you have to gather all the miles.

30 miles x 5 = 150

So that is 150 miles/per week

Then you have to devide the miles by how many gallons per gas you travle.

150/28 miles per gallon = 5.3571....

That how many gallons you'll need a week.

Now, you times the gallons by the price of the gas

5.3571... x $3.05 = $16.3392...

Finally you times the amoutn of money for a week time 4 weeks.

$16.3392... x 4 = $65.35 (to the two decimal mark)

Hope this helped you! : )

7 0

3 years ago

At the moment a hot cake is put in a cooler, the difference between the cake's and the cooler's temperatures is 50\degree50°50,

Len [333]

Answer:

$D(t)=50\cdot (0.8)^{t}$

Step-by-step explanation:

The equation for exponential decay function is given as:

$D(t)=a(1-r)^{t}$

where:

D(t)= difference in temperature t=time

r=rate of change

a =initial value of the temperature

From the given problem:

Initial Temperature,a=50°C

Rate of Decay,r= $\frac{1}{5}$

Therefore the function for the difference in temperature is given as:

$D(t)=50(1-\frac{1}{5})^{t}$

$D(t)=50\cdot (\frac{4}{5})^{t}$

We can convert $\frac{4}{5}$ to decimal and write the function as:

$D(t)=50\cdot (0.8)^{t}$

7 0

3 years ago

Read 2 more answers