Can someone tell me the value of “b”?
I would appreciate the help! Thank you.

Answer:

64.44cm^2

Step-by-step explanation:

11×7 -pi ×2^2=77-31.4×4=77-12.56= 64.44 cm^2

Answer:

I hope it will help you.....

Answer:

The solution is the triplet: (a, b, c) = (-3, 0, 0)

Step-by-step explanation:

Let's start with the second equation, and solving for "a":

a - b = -3

a = b - 3

Now replace this expression for a in the third equation:

2 a + b = -6

2 (b - 3) +b = -6

2 b - 6 +b = -6

3 b = -6 +6

3 b = 0

b = 0

So if b = 0 then a = 0 - 3 = -3

now we can replace a= -3, and b = 0  in the first equation and solve for c:

2 a - b + c = -6

2 ( -3) - 0 + c = -6

-6+ c = -6

c = -6 + 6

c = 0

Our solution is a = -3, b= 0 , and c = 0 which can be expressed as (-3, 0, 0)

Answer:

0.075

Step-by-step explanation:

To represent 7 1/2 as a decimal, it would be 0.075 since there are 7 hundredths and half a hundredth.

Answer:

Option (3)

Step-by-step explanation:

Inequality n < -2 will be represented on a number line as,

A ray starting form -2 with a hollow circle directing towards -5.

Similarly, other inequality n ≥ 4 will be represented by a ray heading towards positive integers with a staring point 4 marked with a dark circle.

By combining these inequalities on a number line we get Option (3) as a correct option.

Answer:

Step-by-step explanation:

1). f(x) = x² - 9

   g(x) = x - 3

   h(x) = f(x) ÷ g(x)

          = [tex]\frac{x^2-9}{x-3}[/tex]

          = [tex]\frac{(x+3)(x-3)}{(x-3)}[/tex]

          = (x + 3)

2). f(x) = x² - 4x + 3

         = x² - 3x - x + 3

          = x(x - 3) - 1(x - 3)

          = (x - 1)( x- 3)

    g(x) = x - 3

   h(x) = f(x) ÷ g(x)

          = [tex]\frac{(x-1)(x-3)}{(x-3)}[/tex]

          = (x - 1)

3). f(x) = x² + 4x - 5

          = x² + 5x - x - 5

          = x(x + 5) - 1(x + 5)

          = (x - 1)(x + 5)

    g(x) = x - 1

    h(x) = f(x) ÷ g(x)

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

           = (x + 5)

4). f(x) = x² - 16

          = (x - 4)(x + 4) [Since a² - b² = (a - b)(a + b)]

   g(x) = (x - 4)

   h(x) = f(x) ÷ g(x)

          = [tex]\frac{(x-4)(x+4)}{(x-4)}[/tex]

          = (x + 4)

Answer:

Step-by-step explanation:

1). f(x) = x² - 9

  g(x) = x - 3

  h(x) = f(x) ÷ g(x)

         =

         =

         = (x + 3)

2). f(x) = x² - 4x + 3

        = x² - 3x - x + 3

         = x(x - 3) - 1(x - 3)

         = (x - 1)( x- 3)

   g(x) = x - 3

  h(x) = f(x) ÷ g(x)

         =

         = (x - 1)

3). f(x) = x² + 4x - 5

         = x² + 5x - x - 5

         = x(x + 5) - 1(x + 5)

         = (x - 1)(x + 5)

   g(x) = x - 1

   h(x) = f(x) ÷ g(x)

          =

          = (x + 5)

4). f(x) = x² - 16

         = (x - 4)(x + 4) [Since a² - b² = (a - b)(a + b)]

  g(x) = (x - 4)

  h(x) = f(x) ÷ g(x)

         =

         = (x + 4)

Answer:

$3100 is invested at 9%

$4900 is invested at 11%

Step-by-step explanation:

Let's take "x" be the amount invested at 9%.

(x + 1800) is invested in another account at 11%.

The interest amount earned by the two accounts is $818.

Here we can use the simple interest formula and find the amount invested in each account.

Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.

Simple interest =

0.09x + 0.11(x+1800) = 818

Now we have to simplify and find the value of x .

Use the distributive property and simplify the second term.

0.09x + 0.11x + 198 = 818

0.2x + 198 = 818  

0.2x =818 - 198

0.2x = 620

x = 620/0.2

x = 3100.

So $3100 is invested at 9%

x + 1800 = 3100 + 1800

= $4900

$4900 is invested at 11%

Hope this helped.

Answer:

The volume of the composite figure is 162.7 in^3

Step-by-step explanation:

Here, we have a cylinder placed over a cube

The volume of the cube is L^3

With L being the length of its side = 5

The volume of the cube is 5^3 = 125 in^3

The volume of the cylinder is pi * r^2 * h

with r = 2 in and h = 3 in

The volume of the cylinder = 22/7 * 2^2 * 3 = 37.699 = 37.7 in*3

Total volume is thus;

37.7 + 125 = 162.7 in^3

Answer:

a) Pop

b) 30

c) 230

Step-by-step explanation:

Answer:

x = 74°

Step-by-step explanation:

The measure of the inscribed angle x is half the measure of its intercepted arc, that is

x = [tex]\frac{1}{2}[/tex] × 148° = 74°

Answer:

h = 1/2

Step-by-step explanation:

Step 1: Write equation

2.4(5h + 10) - 3 = 27

Step 2: Distribute

12h + 24 - 3 = 27

Step 3: Combine like terms

12h + 21 = 27

Step 4: Subtract 21 on both sides

12h = 6

Step 5: Divide both sides by 12

h = 6/12

Step 6: Simplify

h = 1/2

Answer:

x = 7  x = -6

Step-by-step explanation:

x^2−x−42=0

Factor

What two numbers multiply to -42 and add to -1

-7*6 = -42

-7+6 = -1

(x-7) (x+6) =0

Using the zero product property

x-7 =0   x+6 =0

x = 7  x = -6

Answer:

y = x-4

Step-by-step explanation:

The first thing we need here is to find the slope m of the line passing through the two points.

Mathematically;

m = y2-y1/(x2-x1)

Where (x1,y1) = (0,-4) and (x2,y2) = (5,1)

Thus; m = (1-(-4))/(5-0) = 5/5 =0

The standard form of the equation is;

y = mx + c

where m is the slope and c is the intercept. We already calculated m to be 1, so the equation of the line would be;

y = x + c

To get c, what we need to do is to use any of the points and substitute the values of x and y to get c

Let’s use (5,1)

1 = 5 + c

c = 1-5

c = -4

So the line would be

y = x -4

Answer:

C. 90°

Step-by-step explanation:

In circle with center P, Segment QR is tangent to circle P at point Q and PQ is radius of the circle.

[tex] \therefore PQ \perp QR... (\because radius \perp tangent) \\

\therefore m\angle PQR = 90\degree [/tex]

Answer:

the nth term of the sequence is 3n+5.

now, 5th term=5×3+5=20

6th term = 6×3+5=23

is your answer...

Answer:

150  cans

Step-by-step explanation:

Answer: A para B

Step-by-step explanation: Me no a little espanol, y i think A par B, gracias hasta luego, mucho gusto!!

Answer:

d

Step-by-step explanation:

The correct answer is d because Nora is proving that PS : PR = PT : PQ and we know that PT = 48 and PQ = 48 + 36 so substituting those values into the right side of the equation gives us 48 : (48 + 36).

Answer:

D

Step-by-step explanation:

Answer:

Child's dosage=60 milligram

Step-by-step explanation:

The correct formula is below

C= a/(a+12) ∙ A

Where,

C = child’s dosage in milligrams

a = age of the child

A = adult dosage in milligrams

a=6 year old

A=180 milligrams

C= a/(a+12) ∙ A

=6/(6+12)*180

=6/18*180

=1/3*180

=60

Child's dosage in milligram=60 milligram

Answer:

1. (7/8) 2. (4/5)

Step-by-step explanation:

https://brainly.com/question/15513807 (1st question)

A torch and a battery cost 2.50 altogether. The torch costs 1.50 more than the battery.

Torch (t) = b+1.50

Torch (t) + Battery (b) = 2.50

t+b=2.50

b+1.50+b=2.50

2b=1

b=.5

Battery costs .50 and torch costs 1.50 more = 2.00

Battery = .50

Torch = 2.00

.50 + 2.00 = 2.50 = true

Total price is 2.50- torch price is 2

200/250- divide both by 50=

200/50  /   250/ 50=

4/5

Answer:

here, 1m= 100 cm

so, 5m= 5 ×100 cm=500cm

and 150 cm

now, the ratio of 154cm to 5m is = 154÷500

therefore the ratio is 77/250.

hope its helpful..

Answer:

3rd box, last box, 2nd box, 5th box in that order

Step-by-step explanation:

PEMDAS

Answer:

3, 7, 2, 5

Step-by-step explanation:

You will get the answer by solving it with PEMDAS :)

Answer:

X= y^2-4y-3

Step-by-step explanation:

Pls see attached file

Answer:

28 cm

Step-by-step explanation:

P=(3+7)+(7+4)+(4+3)=2*(3+7+4)=2*14=28

Answer:

Step-by-step explanation: so you calculate how many people ate chicken, beef, fish or are vegetarian then you will add it all together

chicken=128

beef= 80

fish=32

vegetarian=112

128+80+32+112= 352 people ate at the restaurant

Answer:

Altogether, 88 people went to the restaurant.

Step-by-step explanation:

Answer:

k≥12

Step-by-step explanation:

If k must be equal to or greater than 12, it can be expressed as k≥12. This is because the sign ≥ shows that k can both be 12 and could be higher than 12.

I hoped that helped!

:)

Answer:

c

Step-by-step explanation:

it says above

Answer:

x = 0.5

graph is shown in image

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

2x/2 = 8/2

x =4

Answer:

7i

Step-by-step explanation:

√-49= √-1*7²= 7√-1= 7i

Answer:

7i

Step-by-step explanation:

Answer:

y intercept: -2

x intercepts: -0.6667 and -0.5

Step-by-step explanation:

Check out this graph:                                                  Hope that this helped you!