(q^4)^z= 9^12
Find the value of z.

Answer:

(See below)

Step-by-step explanation:

m<1 = 180-130= 50 degrees

because <1 and the 130 degree angle are a linear pair so they are supplementary

m<2 = 50 degrees

because <1 and <2 are alternate interior angles so they are congruent

Answer:

20

Step-by-step explanation:

5-1=4×5=20 that's why

Answer:

x = 20

Step-by-step explanation:

[tex]\frac{x}{5} + 1 = 5[/tex]

isolate the [tex]\frac{x}{5}[/tex] by subtracting 1 from both sides

[tex]\frac{x}{5} + 1 -1 = 5-1[/tex]

[tex]\frac{x}{5} = 4[/tex]

then isolate the x by multiplying both sides by 5

[tex]\frac{x}{5} * 5 = 4 * 5[/tex]

[tex]x = 4 *5 = 20[/tex]

so

[tex]x = 20[/tex]

hope this helps :))

Answer:

Step-by-step explanation:

Area of trapezium

Area of rectangle - Area of triangle

Answer:

40 is the answer

Step-by-step explanation:

Answer:

We know that the section formula states that if a point P(x,y) lies on line segment AB joining the points A(x

1

,y

1

) and B(x

2

,y

2

) and satisfies AP:PB=m:n, then we say that P divides internally AB in the ratio m:n. The coordinates of the point of division has the coordinates

P=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

Let C(1,1) divides the line segment AB joining the points A(−2,7) and B(x

2

,y

2

) in the ratio 3:2, then using section formula we get,

C=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

⇒(1,1)=(

3+2

3x

2

+(2×−2)

,

3+2

3y

2

+(2×7)

)

⇒(1,1)=(

5

3x

2

−4

,

5

3y

2

+14

)

⇒1=

5

3x

2

−4

,1=

5

3y

2

+14

⇒5=3x

2

−4,5=3y

2

+14

⇒3x

2

=5+4,3y

2

=5−14

⇒3x

2

=9,3y

2

=−9

⇒x

2

=

3

9

,y

2

=−

3

9

⇒x

2

=3,y

2

=−3

Hence, the point B(x

2

,y

2

) is B(3,−3).

Answer:

Kay sold 6 boxes and Ayan sold 19 boxes

Step-by-step explanation:

Let x = number of boxes Kay sells

y = number of boxes Ayan sells

Then the equations will be:

[tex]x+y = 25\\x = y-13[/tex]

We can solve the system by using substitution method

Putting x = y-13 in equation 1

[tex]y-13+y = 25\\2y -13 = 25\\2y = 25+13\\2y = 38[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2} = \frac{38}{2}\\y = 19[/tex]

Putting y = 19 in equation 2

[tex]x = y-13\\x = 19-13\\x = 6[/tex]

Hence,

Kay sold 6 boxes and Ayan sold 19 boxes

Answer:

C.

Step-by-step explanation:

The sales tax is ≈ 12.74

The total of $93 - (12.74 + 73.89)  = 6.37

$6.37 is approximatley 20%

The description of the service they received is

They left a 20% tip, so the service was probably above average.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

let the amount of tax be x.

So, 100% of x = 73.89 x 5.8%

x = 428.562/100

x= 4.285

Now, the tip amount would be

= 93 - 73.89 4.28

= $14.83

Now, the amount of tip in percent is

73.89 / 100 = 14.83 / x

x = 14.83 /0.7389

x= 20.07

x= 20%

Learn more about percentage here:

https://brainly.com/question/24191374

#SPJ5

Answer:

5i√10

Step-by-step explanation:

hope this answers your question

:)

Answer:

5√10

Step-by-step explanation:

Answer: 5.5 hours

Step-by-step explanation:

distance/speed = time

330/60 = 5.5

Answer:

Step-by-step explanation:

330/60= 5 1/2 or 5.5 hours total time

The two clowns charge the same amount of money at 16.66 hours.

Payment for work based on hours worked (or sometimes per day or per amount of work done).

Here, let the duration of birthday party be x hours.

For Clown A,

Initial fee = $ 105

Additional charge = $ 9 per hour

Total amount of clown A = $ (9x + 105)   ...........(i)

For Clown B,

Initial fee = $ 155

Additional charge = $ 6 per hour

Total amount of clown B = $ (6x + 155)   ...........(i)

Now, according to question

9x + 105 = 6x + 155

9x - 6x = 155 - 105

3x = 50

x = 50/3

x = 16.66 hours

Thus, the two clowns charge the same amount of money at 16.66 hours.

Learn more about Wages from:

https://brainly.com/question/14718127

#SPJ1

Answer:

Let's define the symbols:

x <  y

means that x is strictly less than y.

x ≤ y

means that x is less than or equal to y.

(both of these signs can be in the other direction, take that in mind).

A) " a is always less than another number b"

Here we should have:

a < b.

a is always less than the other number b.

This is not in the options, so i suppose that there is a mistake in the question.

B) The expression "above" is not shown here, so i will just writhe the correspondent expression for each option, and you can see which one matches with the expression above.

a) "The product between 3 and a number is no less than 9"

3*n ≥ 9.

b) "The product between 3 and a number is greater than 9."

3*n > 9

c) "The product between 3 and a number is no more than 9"

3*n ≤ 9

d) "The product between 3 and a number is less than 9"

3*n < 9

Step-by-step explanation:

1 t=16/21

2.m=2

3.n=13/7

4.a=2

5.x=6/17

6.x=15

7.s=21/4

8. t=7/3

9. s=1

10. s=6/61

11. x=1/3

12. r=27/16

13. c=−1

14.m=9/5n

15. j=−117/58

Answer:

To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.

Step-by-step explanation:

Hope this helps!!!!!

:)

Answer:

21.7391%

Step-by-step explanation:

21800/1002.80

Answer:

B

Step-by-step explanation:

Answer:

6, 7, and 8

Step-by-step explanation:

2x/3 + 7 > 11

Subtract 7 from both sides

2x/3 > 4

Multiply both sides by 3

2x > 12

Divide both sides by 2

x > 6

6, 7, and 8 are the ones that work

Answer:

x=27

Step-by-step explanation:

x would be the square root of 729, or 27

Answer:

27

Step-by-step explanation:

(x^2=729, x=?)is the same as finding the sqrt of 729, which is 27

Answer:

Step-by-step explanation:

(x-2)(x-1)

You need to take the first x and multiply by the other x. Then multiply the first x by the -1. Do this for the -2 also. -2 by the second x and -2 by the -1.

You get x^2-x-2x+2 then combine terms.

x^2-3x+2

Answer:

x² - 3x + 2

Step-by-step explanation:

(x-2)(x-1)

xx - x - 2x + 2

x² - 3x + 2

Answer:

..........................

Step-by-step explanation:

597 rounding would be 600 while 52 would be 50.

So 600 x 50

= 30,000

Answer:

AE

Step-by-step explanation:

Times 11 for all sides get

11<x+13<33

then 11<x+13

-2<x

x+13<33

x<20

so

-2<x<20

so

AE

9514 1404 393

Answer:

  7

Step-by-step explanation:

In order for a number to be divisible by all of 7, 8, 10, and 25, it must be a multiple of the least common multiple of those numbers.

  LCM(7, 8, 10, 25) = 7×8×25 = 1400

There are floor(10,000/1,400) = 7 4-digit numbers divisible by 7, 8, 10, and 25. They are ...

  1400, 2800, 4200, 5600, 7000, 8400, 9800

Answer:

y = x + 2.5 or y = x + 5/2

Step-by-step explanation:

Multiply both sides by 2 so that they are not fractions anymore.

[tex](2)\frac{2y}{2} = \frac{2x}{2} + \frac{5}{2} (2)\\[/tex] This gives you...

2y = 2x + 5 (divide both sides by 2 to get the y alone.)

y = x + 2.5

Hope this helps ya!!

Answer:

9

Step-by-step explanation:

14-5=9

therefore TV=9

hope this helped

Answer:

[tex]\frac{108}{125}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5}[/tex]*[tex]\frac{25}{24}[/tex]= [tex]\frac{72}{125}[/tex]

[tex]\frac{72}{125}[/tex]÷[tex]\frac{2}{3}[/tex]=[tex]\frac{108}{125}[/tex]

Hope this helps you!

Answer:

I think the answer is 252 liters a minute.

Step-by-step explanation:

I got 252 liters a minute because I had to first put 4 1/5 as a fraction and it was 21/5. In ever minute there are 60 seconds. I then multiplied 21/5 times 60 to get me to 252 liters. To double check your work you have to divide 252 by 60. When you divide 252 by 60 you would get 4.2 which reduces to 4 1/5 which makes 252 liters per minute the right answer. Hope this helps.