MATHEMATICS HIGH SCHOOL

The distributive law to factor.
90p+27q=

Answers

Answer 1
Answer: 90= 2 · 3² · 5
27= 3³

So, with this knowledge, the answer is: 

3√2·5 p+3√3 q 

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Tanya bought three adult tickets and one children's ticket to a movie for 24.60 Li bought five adult tickets and four children's tickets for 50.10 . Find the cost of one adult ticket and the cost of one children's ticket.

Answers

Answer:

adult tickets  6.9

children tickets  3.9

Step-by-step explanation:

3x + y = 24.60    L1

5x + 4y = 50.10  L2

5L1 - 3L2

15x +  5y = 123

-15x - 12y = -150.3

-7y = -27,3

y = -27,3/-7

y = 3.9

3x + y = 24.60

3x + 3.9 = 24.60

3x = 24.60 - 3.9

3x = 20.7

x = 20.7 / 3

x = 6.9

One question I need help with, I would really appreciate the help.

Answers


At first, she had  +2y  in the upper and  -5y  in the lower.

She multiplied the upper by  5 .  Then she had  +10y in the upper.

She should multiply the lower by  2 .  Then she'll have  -10y
there.  She'll be able to add the two equations, and the 'y's will
go away.  She'll be left with a single equation with only 'x' in it,
and she can solve that one for the value of 'x'.

Is the sum of two rational number is 5/18 if one of the number is 1/8 find the other

Answers

Answer: 4/8

Step-by-step explanation:

Equation: 1/8+x=5/18

                 -1/8     -1/8

                      x=4/8

Double Check: 4/8+1/8=5/8

The air quality index, or AQI, measures how polluted the air is in your city and assigns a number based on the quality of the air. Over 100 is unhealthy. . . Given the following quadratic regression equation, estimate the number of days the AQI exceeded 100 in the year 1988. . . n = 1.76t^2 - 13.32t + 41.00. (let t represent the number of years since 1990. therefore, t = 0 corresponds the year 1990. round to the nearest whole day.). . A. 60 days. B. 75 days. C. 61 days. D. 21 days

Answers

There are several information's already given in the question. The answer to the question can be easily deduced using those given information's. 

From the given question we come to know that
t = -2
Then
n = 1.76t^2 - 13.32t + 41.00
   = [1.76 * (-2)^2] - [13.32 * (-2) + 41
   = 7.04 - ( - 26.64) + 41
   = 7.04 + 26.64 + 41
   = 74.68
   = 75
From the above deduction, we can conclude that the correct option among all the options that are given in the question is the second option or option "B".

Answer:

b. 75 days

Step-by-step explanation:

A gardener is going to plant 2 red rosebushes and 2 white rosebushes. If the gardener is to select each of the bushes at random, one at a time, and plant them in a row, what is the probability that the 2 rosebushes in the middle of the row will be the red rosebushes?

Answers

Answer:

16.66%

Step-by-step explanation:

The probability would be the multiplication of the different events.

First event, take out a white rose and plant it, the probability of that is 2/4 = 1/2

Second event, take out a red rose and plant it, the probability is 2/3.

Third event, take out another red rose and plant it, the probability is 1/2.

Now, the probability of everything is:

(1/2) * (2/3) * (1/2) = 0.166

that is to say, the probability of what the statement asks us to happen is 16.66%

Answer:

The answer to the question is

The probability that the 2 rosebushes in the middle of the row will be the red rosebushes = 1/6

Step-by-step explanation:

To solve the question we note that the required permutation is WRRW

Therefore the total number of ways to plant the four rose bushes given that two white rose bushes are in the middle is given by

4!/(2!2!) = 6 Therefore the probability that the 2 rosebushes in the middle of the row will be the red rosebushes = 1/6

If 5 + 2 root 3 / 7 + 4 root 3 = a - b root 3, find a and b.​

Answers

Answer:

lhs = (5+2√3)/(7+4√3)

= [(5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)]

=[35-20√3+14√3-24]/[7²-(4√3)²]

=[11-6√3]/[49-48]

=11-6√3

therefore

11-6√3 = a+b√3

compare both sides

a= 11, b= -6

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

a = 11, b = 6

Step-by-step explanation:

Given

(5+2√(3) )/(7+4√(3) )

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 7 + 4√(3) is 7 - 4√(3)

= ((5+2√(3))(7-4√(3)) )/((7+4√(3))(7-4√(3) ) ← expand numerator/ denominator using FOIL

= (35-20√(3)+14√(3)-24 )/(49-28√(3)+28√(3)-48 )

= (11-6√(3) )/(1)

= 11 - 6√(3)

with a = 11 and b = 6
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