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4 years ago

Simplify: 3x(2y+5)-2y(3x-5)-5(3x+2). The final result contains how many terms?

Mathematics

1 answer:

mihalych1998 [28]4 years ago

4 0

Answer:

10y-10

Step-by-step explanation:

2 terms

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The table shows the distance Allison drove on one day of her vacation. Is the relationship between the distance and the time a p

Anuta_ua [19.1K]

Answer:

we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

In our case, the table shows the distance Allison drove on one day of her vacation.

Time (h) 1 2 3 4 5

Distance (mi) 55 100 165 280 250

using the equation

k = y/x

susbtitute y = 55, x = 1

k = 55/1 = 55

substitute y = 100, x = 2

k = y/x

k = 100 / 2 = 50

substitute y = 165, x = 3

k = y/x

k = 165 / 3 = 55

substitute y = 280, x = 4

k = y/x

k = 280 / 4 = 70

substitute y = 250, x = 5

k = y/x

k = 250 / 5 = 50

It is clear that the value of 'k' does not remain constant.

Therefore, we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

6 0

3 years ago

You have a budget of $1,900 per week for employees. Employees are pald $11 per hour and work 40 hours per week.

melisa1 [442]

Answer:

Step-by-step explanation:

5 0

3 years ago

Please help me with this question.

ra1l [238]

Answer:

Area = 43.26

Step-by-step explanation:

There is a short way to do this.

Area = 1/2 s*t * Sin(R)

s = 14

t = 7

Area = 1/2 * 14 * 7 * Sin(62)

Area = 7 * 7 * sin(62)

Area = 49 * sin(62)

Area = 43.26

==================

There is another way you could do this.

Use the Cos law to find r

Then use Heron's formula to find the area. Trust me, you don't want to do that.

Doing the way I suggested gives 43.19. The difference is in what I did in the rounding. But I wouldn't want to type all the numbers.

4 0

3 years ago

The answer is not 3,815.10 I checked already but hellpp

STatiana [176]

The volume of a cylinder is represented by: $\pi r^{2}h$

We know that r is equal to $\frac{1}{2}d$ , and d in this case is 9 in. Therefore, r = 4.5 in.

Then, using 3.14 for $\pi$ , and 15 in. for height, we can solve for the volume of the cylinder:

$V=3.14 (4.5)^{2} (15)$

$V=3.14*20.25*15$

$V=953.775 in^{3}$

By using this equation, we were able to determine that the volume of this cylinder is $953.775 in^{3}$ .

6 0

4 years ago

WILL GIVE BRAINLIEST PLEASE ANSWER

adell [148]

Answer:

$\frac{1}{36}$

Step-by-step explanation:

Dice has 6 sides.

2 is one of the six.

First die landing on two is

$\frac{1}{6}$

The second has to land on a five.

5 is one of the six.

Second die landing on five is

$\frac{1}{6}$

$\frac{1}{6}$ × $\frac{1}{6}$

$\frac{1}{36}$

6 0

3 years ago