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lilavasa [31]
3 years ago
8

Write an expression that represents the area of a rectangle with the length 6a to the power of 2 b and the width of 3ab ( for an

y rectangle with the length \" l \" and the width w, A=lw. )
Mathematics
1 answer:
brilliants [131]3 years ago
5 0
L = 6 a^2 b,  W = 3 a b
The area of a rectangle: 
A = L  x W = 
= 6 a² b · 3 a b = 18 a³ b²
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Please help
lubasha [3.4K]

Let us check series : -10 /-2 = 5 -50/-10 = 5

so it is a geometric series with a= -2 and r= 5

sum formula for n terms of geometric series = a ( r^n -1 ) /( r-1)

here we find S5 that is n= 5 = -2 ( 5^ 5 - 1) /( 5-1)

= -2 ( 3125 -1) / 4 = -1562

second series is : 1.5/1 = 1.5 2.25/1.5 = 1.5

this is also geometric series but n = 12 a= 1 and r= 1.5

we use same formula

S12 = 1 ( (1.5) ^12 -1) /( 1.5-1) =

128.74 / 0.5 = 257.49

Last is 2/1= 2 4/2 = 2 8/4 = 2 so r = 2 a = 1 and n = 12

we use same formula 1 ( 2^12 - 1) / (2-1)

= 4095

Answers : -1562 , 257.49 , 4095

8 0
3 years ago
Read 2 more answers
Student to faculty ratio is 17:3 total for bo th h is 740. How many students and how many faculty
svetlana [45]

We can represent 17:3 with 17x and 3x

17x + 3x = 740

20x = 740

x = 37

17(37):3(37)

629 students and 111 school faculty members.

5 0
3 years ago
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
iren [92.7K]

Answer:

x = 14

y = 30

Step-by-step explanation:

x + 10 = 3x - 18

x = 3x - 18 - 10

x = 3x -28

x - 3x = -28

-2x = -28

x = 14

(3x - 18) + (6y - x - 10) = 180

3x - x -18 - 10 + 6y = 180

2x - 28 + 6y = 180

2x + 6y = 180 + 28

2(14) + 6y = 208

6y = 208 - 28

6y = 180

y = 30

I hope this helps!

5 0
2 years ago
What is the vertex of the absolute value function defined by f(x)=|x+5|+7?
irina1246 [14]

The vertex of the function f(x) = |x - a| is in (a, 0).

f(x) + a - shift the graph of function f(x) a units up.

Therefore:

The verex of y = |x + 5| is in (-5, 0).

The vertex of y + 7 = f(x) = |x + 5| + 7 is in (-5, 0 + 7) = (-5, 7).

6 0
3 years ago
The equation C = 20n + 35 represents the relationship between the cost of school volleyball uniforms, C, in dollars, and the num
Margaret [11]

The equation represent a linear relation with the y-intercept

representing the amount of initial fee.

Correct response:

1. 28 volleyball uniforms

2. Price per uniform

3. Initial flat order fee

4. 10 fewer volleyball uniform

<h3>Methods used for finding the above values</h3>

The given equation that represents the relationship between the cost of school volleyball uniform is; C = 20·n + 35

Where;

C = The uniform costs

n = The number of volleyball uniform ordered

The maximum amount the school has to spend = $600

1. The number of uniforms the school can buy is given by setting C = 600 as follows;

  • C = 20·n + 35

Therefore;

600 = 20·n + 35

20·n = 600 - 35 = 565

n = \dfrac{565}{20} = \mathbf{28.25}

Rounding down to the nearest whole number, we have;

  • The number of uniforms the school can buy, n = <u>28 volleyball uniforms</u>.

2. The number 20 represent the additional cost for each extra uniform, which is the unit cost therefore;

  • 20 represents a <u>$20 price per uniform</u>.

3. The 35 in the equation represents an initial <u>flat fee</u>, such as an

ordering or initial fee, which is fixed.

Therefore;

  • The number 35 represent the <u>fixed cost </u>for producing the uniforms

4. The price per uniform of $30 changes the coefficient of <em>n</em> from 20 to 30 as follows;

C = 30·n + 35

The number of uniforms the school can by with $600 is therefore;

n = \dfrac{600 - 35}{30} = \mathbf{18.8 \overline 3}

Which gives;

The number of uniforms the school can purchase at $30 per uniform is n = 18 volleyball uniforms

The difference in the number of uniforms purchased = 28 - 18 = 10

Therefore;

  • The school can purchase <u>10 fewer uniforms</u> at $30 per uniform

Learn more about linear equations here:

brainly.com/question/10452752

4 0
2 years ago
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