10. If log10x = 1 + a and log10y = 1 – a, show that xy = 100.
How?

Answer:

8units²

Step-by-step explanation:

Area of the trapezoid = 1/2(a+b)h

a and b are the opposite sides

h is the height

Take a square as 1 unit

a = 1 unit

b = 3 units

height h = 4 units

Substitute

A = 1/2(1+3)*4

A = 1/2 * 4 * 4

A = 16/2

A = 8units²

Hence the area of the trapezoid is 8units²

Answer:

yes

Step-by-step explanation:

yes

very poetic

Answer:

Step-by-step explanation:

Answer:

(-0.5,7.66)

Step-by-step explanation:

2x+6y=21

-2x+3y=24

so 3y=24+2x

reduce

y=(24+2x)/3

substitute for y

2x+6(24+2x/3)=21

2x+(72+12x)/3=21

2x+24+4x=21

6x=-3

x=-0.5

y=(24+-1)/3=7.66

Answer:

Step-by-step explanation:

Step-by-step explanation:

to calculate common ratio

=second term divided by first term

Answer:

31%

Step-by-step explanation:

93/300=0.31

0.31=31%

The percentage of the surveyed students said their favorite color was purple will be 31%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Total number of students = 300

And, There are 93 students said their favorite color was purple.

Now,

The percentage of the surveyed students said their favorite color was purple is find as;

Total number of students = 300

And, There are 93 students said their favorite color was purple.

So, Percent of the surveyed students said their favorite color was purple is;

Percent = 93 / 300  x 100

            = 31%

Thus, The percentage of the surveyed students said their favorite color was purple will be 31%.

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Answer:

Step-by-step explanation:

Step 1:

x - > number of Avocado

y -> number of melon

Step 2:

x ≤ 3y

x +  y ≥ 20

Step 3:

x + y≥ 20

     y ≥ -x + 20

Step 4:

( 1 , 20)

x ≤ 3y               ; y≥ -x + 20

1 ≤ 3*20          ;  20 ≥ -1 + 20

1 ≤ 60              ; 20 ≥ 19

Answer:

$15 is 37.5% of $40.

Step-by-step explanation:

Answer:

[tex]25C_{12}[/tex]

Step-by-step explanation:

We are given that an expression

[tex]\frac{25!}{(25-12)!12!}[/tex]

We have to find the expression which represents  [tex]\frac{25!}{(25-12)!12!}[/tex].

We know that

[tex]nP_r=\frac{n!}{(n-r)!}[/tex]

[tex]nC_r=\frac{n!}{(n-r)!r!}[/tex]

By using the formula

By comparing we get

n=25,r=12

[tex]\frac{25!}{(25-12)!12!}[/tex]

[tex]=25C_{12}[/tex]

Hence, option a is true.

[tex]25C_{12}[/tex]

Answer: One way is by putting on background music. Heroic music makes the audience feel exited.

Step-by-step explanation:

Answer:

a laughing track

Step-by-step explanation:

sitcoms are shows like friends, where when something is funny, it plays laughing in the background, essentially telling everyone to laugh becasue something funny just happened

Answer:

the answer is B

Step-by-step explanation:

Answer:

m = 35

Step-by-step explanation:

2m + m -15 = 90

3m -15 = 90

     +15  +15

3m = 105

/3     /3

m = 35

To check the work just insert 35 for m:

2(35) + 35 -15 = 90

70 + 35 -15 = 90

105 - 15 = 90

90 = 90

Answer:

63

Step-by-step explanation:

[tex]15m^{2}[/tex]

Hope this helps!! plz mark brainliest??

Answer:

−8  <  x  <  2 would be the answer if the equation was x^2

if the equation was x(2), the answer is x<2

Step-by-step explanation:

Answer:

x < –8 or x > 2.

Step-by-step explanation:

The solution to the inequality x^2 < 16 - 6x is x < -8 or 2 < x.

Answer:

I would know if the table was included

Step-by-step explanation:

just insert the number of each type of movie into the place of M and see if it is greater than 15

Step-by-step explanation:

[tex]15 = - 5x + 10 \\ - 5x = 15 - 10 \\ - 5x = 5 \\ x = \frac{5}{ - 5} \\ x = - 1 \\ thank \: you[/tex]

Answer:

there is no solution

Step-by-step explanation:

y = 2x + 1

put into other equation

2x - 2x + 1 = 3

0x + 1 = 3

0x = 2

0/0x = 2/0

x = undefined

Answer:

12.5%

Step-by-step explanation:

There are two types of spinners here and the outcome of them is independent. That means

P(odd number,C) = P(odd number) * P(C)

There are two odd numbers out of four numbers in the first spinner. The chance of odd number will be:

P(odd) = 2/(2+2)= 1/2= 50%

There are four letters and the desired outcome is C. The chance for C will be:

P(C)= 1/4= 25%

Then the chance will be:

P(odd number,C) = P(odd number) * P(C)

P(odd number,C) =50% * 25% = 12.5%

Answer:

[tex]3\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

[tex]y/x\\15/6[/tex]

also known as 15 divided by 6 which equals 2.5 so

2.5 is the constant of proportionality

Answer:

Make 1/8 a reciprocal which would be 8/1 so 3/4 x 8/1 is 24/4 = 6

Answer:

5n + 9 = 3

I hope im right!!

The exponent expression 3² is greater than the exponent expression 2³.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The same digits are used for the expressions 3² and 2³. The value of the exponent expressions is given as,

3² = 9

2³ = 8

The exponent expression 3² is greater than the exponent expression 2³.

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Answer:

The third one, with the sideways "z" shape.

Step-by-step explanation:

When folded, this net shape will become the new figure.