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3 years ago

One Friday night, two large groups of people called Centerville Taxi Service. The first group

Mathematics

1 answer:

NeX [460]3 years ago

4 0

Answer:sedan can hold 3 people and a minivan can hold 9 people.

Step-by-step explanation:

Suppose the number of passengers each sedan can carry is A and the number of passengers each minivan can carry is B

So 3A + 2B = 21 and 3A + 3B = 27

If we subtract the equations we can solve for B

3A + 3B = 27

-3A - 2B = 21

___________

B = 6

Now we know Each minivan can hold 6 passengers and we can solve for A.

3A + 3B = 27

3A + 3(6) = 27

3A + 18 = 27

- 18. -18

__________

3A = 9

A =3

You can check this by solving the other equation.

3A + 2B = 21

3(3) + 2(6) = 21

9 + 12 = 21

Hope that helps

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What equation is equivalent to (1/3)^x=27^x+2?

ki77a [65]

I don’t know- sorry

5 0

3 years ago

Help question below please and thank you i will give brainliest

vodomira [7]

Answer: angle V = 41 degrees (choice B)

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

Explanation:

We're told that RS = ST = RT. This means triangle RST has all three sides equal to one another. This triangle is equilateral. Each interior angle is 60 degrees. This is because each angle is y, and y+y+y = 180.

Since each angle of triangle RST is 60 degrees, this means angle STR is 60 degrees.

Let z be the measure of angle UTV. Note how

(angleSTR)+(angleUTV) = 180

60+z = 180

z = 180-60

z = 120

Making angle UTV to be 120 degrees

------------------------------------

Now we can focus on triangle UTV since we have expressions for each interior angle

U = 4x-9
T = 120
V = 5x+6

Add up those angles, set the sum equal to 180, solve for x

U+T+V = 180

(4x-9)+(120)+(5x+6) = 180

9x+117 = 180

9x = 180-117

9x = 63

x = 63/9

x = 7

Use that x value to find the missing angle measures

angle U = 4x-9 = 4*7-9 = 28-9 = 19 degrees

angle V = 5x+6 = 5*7+6 = 35+6 = 41 degrees

Note how

U+T+V = 19+120+41 = 180

which helps confirm our answer.

6 0

3 years ago

Read 2 more answers

Determine the area of the parallelogram below

spayn [35]

Answer:

A= BH

A=8cm ×2.2 cm

A= 17.6cm²

8 0

3 years ago

Solve the proportion

RSB [31]

A=4.375
E=6
M=6
K=4.8
hope this helped

3 0

3 years ago

A multiple-choice test has 30 questions and each one has five possible answers, of which only one is correct. If all answers wer

kumpel [21]

Answer: the probability is 0.13

Step-by-step explanation:

First, each question has 5 options and only one is correct.

Then, selecting at random, the probability of getting a correct answer is equal to:

p = 1/5 = 0.20 (and the probability of getting it incorrect is p = 4/5 = 0.80)

Now, if out of 30 questions, we got 4 correct and 26 incorrect, the probability for a given combination is;

p = (0.20^4)*(0.80^26)

But we also need to multiply this by the total number of combinations.

This is we have 30 questions in total, and we can select 4 of them that will be the correct ones.

Now, if we have N objects in total, the number of different combinations of K elements out of those N elements is

$C = \frac{N!}{(N-K)!*K!}$

In this case, N = 30 and K = 4.

$C = \frac{30!}{(30 -4)!*4!} = \frac{30*29*28*27}{4*3*2} = 27,405$

Then the probability of getting exactly 4 correct answers is:

P = (0.20^4)*(0.80^26)*27,405 = 0.13

5 0

4 years ago