Given P = 2 (l + b) when l = 15 and P = 50,
find b

Answer:

A) 56.549

B) 9.425

Step-by-step explanation:

2(pi)r=56.54867

60/360x56.54867=9.425

Answer:

3x + 2y = 11

3x + y = 11 - 2

3x + y = 9

x + y = 9/3

x + y = 3

x = 3 - y

5x - y = 14

x - y = 14/5

x - y = 2.8

x = 2.8 + y

14Answer:

3

Step-by-step explanation:

solve for y in first equation

5x-y=14

-y=14-5x

y=5x-14

substitute y value (5x-14) into 2nd equation

3x+2 (5x-14)=11

3x+10x-28=11

13x=39

x=3

Answer:

Step-by-step explanation:

cos θ=8/17

sin θ=√(1-cos²θ)=√(1-(8/17)²)=√(1-64/289)=√((289-64)/289)=√(225/289)=15/17

Answer:

x ≥ 4

Step-by-step explanation:

The given inequality is :

4 + 6x ≤ x + 6x

Subtract 6x from both sides,

4 + 6x-6x ≤ x + 6x -6x

4≤ x

or

x ≥ 4

Hence, the correct option is (b) i.e. x ≥ 4.

Step-by-step explanation:

by choosing from the sophomores or by choosing from the freshmen

Answer:

Step-by-step explanation:

There are:

The president must be a senior.

The assistant must not be a freshman.

The accountant can be anyone.

Number of ways to pick officers:

Answer:

If Jackson misses the 5-month deadline, it will cost him $429 in finance charges.

Step-by-step explanation:

Since Jackson purchased $ 5,200 worth of electronic equipment from BetterBuy on their deferred payment plan, and the plan allows the customer to make no down payment and no payment at all for five months, while if the entire amount is paid in full before the five month deferment ends, the finance charge with an APR of 19.8% is applied each month going back to the first month, to determine how much would it cost Jackson in finance charges if he misses the 5-month deadline the following calculation should be performed:

5,200 x (1 + (0.198 / 12 x 5)) = X

5,200 x (1 + (0.0165 x 5)) = X

5,200 x (1 + 0.0825) = X

5,200 x 1.0825 = X

5.629 = X

5,629 - 5,200 = 429

Therefore, if Jackson misses the 5-month deadline, it will cost him $429 in finance charges.

Answer:

20

Step-by-step explanation:

42 is the biggest and the smallest is 22 so 42-22 = 20!

Answer:

-5 63/100

Step-by-step explanation:

Answer:

-1.5, -(-2), 2.5, 8/3

Step-by-step explanation:

pretty sure this is right

Answer: 13

The derivative of this is 8x+5, plug in 1 for x. 13

Answer:

33.08 $

I believe we add the two together and get our total !

— hope this helped :)!

Answer:

x = 12

Step-by-step explanation:

15 + x = 27

subtract 15 from each side of the equation:

15 - 15 + x = 27 - 15

x = 12

Answer:

It is not possible

Step-by-step explanation:

Required

Convert 0.8km to hours and minutes

One of the condition for a successful conversion is that: only units of the same metric can be converted.

i.e.

Meters can be converted to feet (they both measure distance)

Days can be converted to years (they both measure time)

Pounds can be converted to grams (they both measure weight)

But in the given question, you attempt to convert from distance to time.

This is not possible, because time and distance are different measurements

Answer:

$817.78

Step-by-step explanation:

To find the tax you must do the equation:

751.98 x 0.0875

(Btw, 0.0875 is decimal form of 8.75%. Always turn the percentage into a decimal before finding the tax or sale amount)

751.98 x 0.0875 = 65.80.

Now, add the sale tax amount and the original price:

751.98 + 65.80 = 817.78

Therefore, the answer is 817.78.

Answer:

32.5

Step-by-step explanation:

median is the middle number, in this case the sum of the two middle number divided by 2

31 + 34 = 65/2

32.5

Answer:

33

Step-by-step explanation:

Answer:

50.24in²

Step-by-step explanation:

Formula: πr²

Given: π = 3.14, r = 4

Sub: 3.14(4)²

SImplify: 3.14(16)

Solve: 50.24

Answer:

X=9

Step-by-step explanation:

2(9)-5 > 11

18-5 > 11

13>11

2x-5>11

2x-5+5>11+5 five will be cancelled five

2x>11+5

2x>16 divide 2 by 2 you get x then divide 16 by 2

x>8 this means x is greater than eight {x= 9,10,11,12.......}

Answer:

56.67

Step-by-step explanation:

I think it is 56.67%

Answer:

The percentage change is 56.67%.

Answer:

430

Step-by-step explanation:

The "product" means multiply

215*2=430 or you can break it up:

215+215=430

Answer: 430

→Hope this helps!←

Answer:

47

Step-by-step explanation:

x-2+3x-6= 180 ( as they are complementary angles)

4x-8= 180

4x= 188

x= 47

9514 1404 393

Answer:

  x = 12

  y = 4√10

  z = 12√10

Step-by-step explanation:

The geometric mean rules apply. Each of the segments labeled with a letter is the geometric mean of the segments it touches on the hypotenuse.

  x = √(4×36) = 12

  y = √(4×(4+36)) = 4√10

  z = √(36×(36+4)) = 12√10

Answer:  Shawn payed the cashier $15.25

Step-by-step explanation:

Answer:

y = 5

Step-by-step explanation:

40 = 8y

divide both sides by 8, isolating y by itself:

40/8 = 8y/8

5 = y

rearrange the equation so the y is on the left side

y = 5

The answer is y = 5

We can check by plugging in y = 5 into the original equation:

40 = 8y

40 = 8(5)

40 = 40

correct

Answer:

y = 1/2x + 10  

Step-by-step explanation:

I'm not sure if this is right but:

First you work out the gradient of the line which is the difference in y divided by the difference in x:  

Gradient = (14 - 11) ÷ (8 - 2) = 3 ÷ 6 = 1/2    

the gradient is 1/2 so you'd write that as: y= 1/2x + c

Then you need to work out the y-intercept ( c )  

You do this by substitution:

14 = 1/2(8) + c

14 = 4 + c

c = 10

So the y-intercept is 10 so you'd write that as:

y = 1/2x + 10

Answer:

[tex]y^{14} -22y^7+121[/tex]

Step-by-step explanation:

This equation should help:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex](y^{7}-11)^2\\\\=y^{14} +2*y^7*-11+11^2\\\\=y^{14} -22y^7+121[/tex]

Answer:

[tex] {y}^{14} - 22 {y}^{7} + 121[/tex]

Step-by-step explanation:

[tex](y {}^{7 } - 11)( {y}^{7} - 11)[/tex]

First terms,

[tex]{y}^{14} [/tex]

Outer,

[tex] {y}^{7} \times - 11 = - 11 {y}^{7} [/tex]

Inner,

[tex] {y}^{7} \times - 11 = - 11 {y}^{7} [/tex]

Last,

[tex] - 11 \times - 11 = 121[/tex]

Add all terms up

[tex] {y}^{14} - 22 {y}^{7} + 121[/tex]