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2 years ago

Help me solve this test :)

Mathematics

2 answers:

lakkis [162]2 years ago

5 0

Answer:

D: (5 * 3)^3

D: 125 x 27

Step-by-step explanation:

andre [41]2 years ago

5 0

(5•3)^3 = 3,375

First step you do is 5•3 = 15 and then 15^3 = 3,375

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Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.

emmainna [20.7K]

Answer:

x=3

y=0

i hope this helps:)

Step-by-step explanation:

4 0

3 years ago

a store light flashes every 60 minutes while another light flashes open every 24 minutesif both stores begin flashing at 10 am w

anastassius [24]

Answer:

Both lights flash at 1:00

Step-by-step explanation:

they flash together every 2*7=14 minutes

in 60 minutes there are 4*14=56 minutes

they flash together at 1:56

more minutes brings you to 2:00

they flash together at 2:10 (4+10=14)

that leaves 50 minutes left in the hour

they flash three times which uses up 42 minutes

this brings you to 2:52 (10+42=52)

8 more minutes brings you to 3:00

in 6 more minutes (8+6=14) it will be 3:06 and they will flash together

5 0

3 years ago

Bridget has a bag of skittles that is 3/4 full. If she eats 2/5 of the remaining skittles, how much of the bag did she eat?

Nutka1998 [239]

Bridget eats $\frac{x}{10}$ of the Skittles

<u>Explanation:</u>

Let the number of skittles = x

If the bag has $\frac{3}{4}x$ of the skittles

Then the skittles remaining = $x - \frac{3}{4}x$

= $\frac{x}{4}$

Amount that Bridget eats = $\frac{2}{5} X \frac{x}{4}$

= $\frac{x}{10}$

Therefore, Bridget eats $\frac{x}{10}$ of the Skittles

3 0

3 years ago

ordyn went out to lunch. She likes to tip on the taxed amount. Her meal cost $25. There is a 8% tax and she will leave 20% of ta

igor_vitrenko [27]

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3 years ago

If the population of a country is reported in the year 1990 as 471.56 million and in the year 2000 as 492.53 million, when will

Aleks [24]

Answer:

35 years

Step-by-step explanation:

It will make this problem a whole lot easier if we call the year 1990 our initial year, or year 0; that means that the year 2000 is year 10. The coordinates then that result from that change are (0, 471.56) and (10, 492.53). Population growth is always exponential, and the formula for that, in terms of x and y, where x is the year and y is the population in millions, is

$y=a(b)^x$

a is the initial population at year 0 and b is the growth rate. If the growth rate is a decimal (less than 1) what we have is decay as opposed to growth. In order to determine when (x) the population (y) is 492.53, we have to find the model by solving for a and b using the coordinates. Once we find this model, we will use it to solve for x by filling in the y of 550 million. So here we go.

Using the first coordinate, we know that at year 0 the population is 471.56. So that is our initial population, a in our formula. Using that value of a and plugging it in to the formula with the other coordinate gives us

$492.53=471.56(b)^{10}$

Now we have to solve for b. Begin by dividing both sides by 471.56 to get

$1.044469421=b^{10}$

"Undo" that 10th power by taking the 10th root of both sides which gives you that b = 1.004360381

Now we have our model:

$y=471.56(1.00436)^x$

We will plug in a y value of 550 and solve for x using natural logs.

$550=471.56(1.004360381)^x$

Begin by dividing both sides by 471.56 to get

$1.166341505=(1.004360381)^x$

In order to solve for x we have to pull it down from the position in which it is currently sitting, which is an exponent. Taking the natural log of both sides will solve that problem for us:

$ln(1.166341505)=ln(1.004360381)^x$

The power rule for natural logs tells us we can pull the exponent down in front giving us:

$ln(1.166341505)=x*ln(1.004360381)$

Now we will divide both sides by ln(1.004360381) to isolate the x. Doing that and at the same time finding those values on our calculator gives us:

$\frac{.153871931}{.0043505227}=x$ so

x = 35

5 0

3 years ago