please... help idk what its asking.

The number [tex]\log_9(81)[/tex] means: which exponent we have to give to 9 in order to get 81?

Since [tex]81=9^2[/tex], the answer is 2.

Answer:

x = - 2

Step-by-step explanation:

Given

6 - x = 4(5 + x) - 4 ← distribute and simplify right side

6 - x = 20 + 4x - 4

6 - x = 16 + 4x ( subtract 4x from both sides )

6 - 5x = 16 ( subtract 6 from both sides )

- 5x = 10 ( divide both sides by - 5 )

x = - 2

Answer:

1005 girls

Step-by-step explanation:

From the question we are given ratio of boys to girls as 7 : 29

Total ratio will be 7 + 29 = 36

Total students in the school = 1248 students

Number of girls in the school = 29/36 * 1248

Number of girls in the school = 29 * 35

Number of girls in the school  = 1005

Hence the approximate total number of girls in the school is 1005 girls

Note that the ratio was assumed since we are not given in question

Answer: 6

Step-by-step explanation:

Let the number be x

If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:

(2 × x) + 5 = (3 × x) - 1

2x + 5 = 3x - 1

5 + 1 = 3x - 2x

x = 6

The number you are thinking of is 6

Answer:

Speed = 25miles per hour

Step-by-step explanation:

Represent the time with x and the distance with y

So, from the attachment; we have the following details:

[tex](x_1,y_1) = (0.5,12.5)[/tex]

[tex](x_2,y_2) = (1,25)[/tex]

[tex](x_3,y_3) = (1.5,37.5)[/tex]

Required

Determine the constant speed

Because the train travelled at a constant speed, the speed can be calculated using:

[tex]Speed = \frac{y_3}{x_3}=\frac{y_2}{x_2}=\frac{y_1}{x_1}[/tex]

[tex]Speed = \frac{12.5}{0.5}=\frac{25}{1}=\frac{37.5}{1.5}[/tex]

[tex]Speed = 25=25=25[/tex]

Notice that the result of each division is the same.

Hence, the constant speed is:

Speed = 25miles per hour

Given:

The relation is {(-5, -3), (-1, 3), (4,3), (8, 8)}.

To find:

Whether the given relation is a function or not.

Solution:

A relation is called a function, if there exist a unique output for each input.

We have, a relation given as

{(-5, -3), (-1, 3), (4,3), (8, 8)}

Here, all x-values are different. So, each x-value has a unique y-value.

Thus, there exist a unique output for each input.

Therefore, the given relation is a function.

Answer:

c

Step-by-step explanation:

Since the perimeters are equal, then equate the perimeter expressions, that is

4(x - 2) = 6([tex]\frac{1}{2}[/tex] x + 5) ← distribute parenthesis on both sides

4x - 8 = 3x + 30 ( subtract 3x from both sides )

x - 8 = 30 ( add 8 to both sides )

x = 38

Substitute x = 38 into either of the 2 perimeter expressions

perimeter = 4(x - 2) = 4(38 - 2) = 4 × 36 = 144 in → c

Answer:

"With the high level of interest in our 45-70

Step-by-step explanation:

Answer:

2 i think

Step-by-step explanation:

Answer:.

Step-by-step explanation:.

Answer:

5 seats

Step-by-step explanation:

if I'm getting the right idea, the seats are NOT enough

since the number of arrangement of 10 people in a row is

10! = 3628800 which is a lot larger than 30240.

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

Let number of seats be

10PX = 30240

[tex]\frac{10!}{(10-X)!}[/tex] = 30240

(10-X)! = [tex]\frac{10!}{30240}[/tex]

(10-X)! = 120

(10-X)! = 5!

10-X = 5

X = 5

Happy Holidays! =)

[tex]\large\boxed{x = -\frac{5}{2} \text{ and } 1}}[/tex]

4x² + 6x = 10

Move 10 to the other side so we can factor the trinomial:

4x² + 6x - 10 = 0

Factor the GCF, or 2 out of the equation:

2(2x² + 3x - 5) = 0

Factor the terms inside of the parenthesis:

2(2x + 5)(x - 1) = 0

Disregard the coefficient of 2 and set each factor equal to 0:

2x + 5 = 0

2x = -5

x = -5/2

x - 1 = 0

x = 1

The values of x are -5/2 and 1.

Step-by-step explanation:

Let x be the number of Green apples bought.

Then 4x is the number of Red apples bought.

We have x + 4x = 50, so x = 10.

Since there are 10 green and 40 red apples, 40 - 10 = 30 more red apples than green apples.

Answer:

Equation- 50+40h=210

Answer- h=4

Step-by-step explanation:

Just simplify the equation :)

50+40h=210

40h=160

h=4

The electrician worked for 4 hours.

Happy holidays!

Answer:

x=15

Step-by-step explanation:

Answer:

D. 60

Step-by-step explanation:

Since the question stated that the number of marbles given out to his 6 friends were equal, we are certain that the total number of marbles is a factor or multiple of 6.

The only other assumption here is the number of marbles given has to be whole number. This means we just have to go through the answer choices and pick the one that is a multiple of 6.

A. 15 - This is wrong as 15 is not a multiple of 6.

B. 33 - This is wrong as 33 is not a multiple of 6.

C. 56 - This is wrong as 56 is not a multiple of 6.

D. 60 - This is CORRECT as 60 is a multiple of 6.

If Jorge gives each of his friends 10 marbles each, it would bring the total number of marbles to be 60.

Answer:

15

Step-by-step explanation:

5x3=15

Answer:

The y intercept is the b in y = mx + b

Step-by-step explanation:

Answer:

b. Use sigma notation to represent the number of seats in the theater.

Answer:

To combine like terms, add the variable terms together and then add the constants together. When you combine the variable terms, you have 1w + 1w, which is 2w. When you combine the constants, you have 10 – 4, which is 6. The equivalent expression is 2w + 6.

Step-by-step explanation:

Answer:

add both "w" which equals 2w. Then add 10 and -4 which is 6. So the answer is 2w+6... I'm pretty that's the answer make sure to double-check though

Step-by-step explanation:

Hope this helps!!

A) The distance between -5 and 0 is a Positive 5 because it takes 5 positive spots to go from -5 to 0.

B) The Absolute Value of -5 is 5. (Absolute Value means the distance from that number from zero) Is takes 5 spots to get to -5.

I hope this helps, and Happy Holidays! :)

Answer:

1) 5 units

2) 5

Step-by-step explanation:

absolute value is basiclly the opposite for example 4 would be -4 and -7 would be 7

also if it has lines like this: |2| it stays as it is so |3| is still 3 and |-5| is still 5

hope this helps :)

Answer:

3355

Step-by-step explanation:

55 x 61 = 3355

Let the original fraction be

[tex]\dfrac{n-1}{n}[/tex]

Now let's increase both numerator and denominator by 2:

[tex]\dfrac{n+1}{n+2}[/tex]

This produces a 1/12 increase:

[tex]\dfrac{n+1}{n+2}-\dfrac{n-1}{n}=\dfrac{1}{12}[/tex]

The left hand side can be rearranged as

[tex]\dfrac{2}{n^2+2n}=\dfrac{1}{12}[/tex]

Invert both sides:

[tex]\dfrac{n^2+2n}{2}=12 \iff n^2+2n=24[/tex]

Solve the quadratic equation:

[tex]n^2+2n-24=0 \iff n=-6 \lor n=4[/tex]

So, in the first case, the original fraction is

[tex]\dfrac{n-1}{n}=\dfrac{-6-1}{-6}=\dfrac{7}{6}[/tex]

In the second case, we have

[tex]\dfrac{n-1}{n}=\dfrac{4-1}{4}=\dfrac{3}{4}[/tex]

Answer: 9.05-0.75=$8.3

Step-by-step explanation:

Given:

A line is perpendicular to the given line and having negative slope.

To find:

The slope of the line.

Solution:

We know that, product of slopes of two perpendicular lines is -1.

[tex]m_1\cdot m_2=-1[/tex]

[tex]m_1=-\dfrac{1}{m_2}[/tex]

It means, one slope is opposite and reciprocal of other.

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that, blue line passes through (0,3) and (2,4). So, slope of blue line is

[tex]m_B=\dfrac{4-3}{2-0}[/tex]

[tex]m_B=\dfrac{1}{2}[/tex]

The slope of blue line is [tex]\dfrac{1}{2}[/tex]. So, slope of the line which is perpendicular to the blue line is -2, which is negative.

From the given graph it is clear that, red line passes through (0,4) and (4,3). So, slope of red line is

[tex]m_R=\dfrac{3-4}{4-0}[/tex]

[tex]m_R=\dfrac{-1}{4}[/tex]

The slope of blue line is [tex]-\dfrac{1}{4}[/tex]. So, slope of the line which is perpendicular to the blue line is 4, which is positive.

Therefore, the slope of the line which is perpendicular to the given line and having negative slope, is -2.

Answer:

your answer should be x = -3

Answer:

x=-3

Step-by-step explanation:

7-2x-11+9-3x=20

5-5x=20

-5x=15

x=-3

Answer:

I think the answer is 11 because 2x + 3x=5 and 1 + 10=11

Answer: 10

Step-by-step explanation:

Well i got 10 if your asking what i think u are

7 1/2 divided by 3/4 = 10

Answer:

The correct option is (d) a student needs to take 10 dance classes to learn the routine. Step-by-step explanation: Given that each dance class is hour and a student takes hours to learn a dance routine. We are to select the TRUE statement. Thus, a student needs 10 dance classes to learn the dance routine.

Step-by-step explanation:

The correct option is (d) a student needs to take 10 dance classes to learn the routine. Step-by-step explanation: Given that each dance class is hour and a student takes hours to learn a dance routine. We are to select the TRUE statement. Thus, a student needs 10 dance classes to learn the dance routine.