Hannah took six quizzes in math. She scored 4 twice, 6 once, and 8 three times. What ja Hannah’s average for the six math quizzes?

We know that the area of a semicircle = 1/2(πr^2)

r = the radius

We also know that the area of a rectangle = xy

x = width

y = length

In our problem,

r = w

x = w

y = w + 5

A(w) = w(w + 5) - 1/2(πw^2)

Let's simplify the right side of the function.

A(w) = w^2 + 5w - 1/2πw^2

Answer:

3.31

Step-by-step explanation:

sqr 10 = 3.16

3/20 = .15

3.16+ .15

3.31

Answer:

<LKM and <MKN

<PKO and <LKM

Step-by-step explanation:

<LKM and <MKN = 90°

<PKO and <LKM = 90°

Answer:

x=0 solution

Step-by-step explanation:

2x-10x=6-6

-8x=0

x=0 solution Hope this helped!

Answer:

40

Step-by-step explanation:

80/2= 40

Answer:

2005

Step-by-step explanation:

Let x be the tens and y be the ones digits.

The product of the number is then: 10x + y

The product is 1/2, so you need to multiply the product by 2 and the number:

10x + y = 2(x+y)

10x + y = 2x + 2y

Subtract 1 y from both sides

10x = 2x + y

Subtract 2x from

Both sides

8x = y

X has to be 1 , which would make y 8

The product number becomes 18

Since the product is 1/2, multiply by 2:

18 x 2 = 36

3 x 6 = 18

The answer is 36

Answer

I think it's 12.00 left

Step-by-step explanation:

50 * 0.06 = 3.00

3.00 - 15.00 = 12.00

12.00

Answer:

x=−  

12

35

​  

=−2.917

Step-by-step explanation:

Answer:

∠ BOF = 32°

Step-by-step explanation:

Since AB is a straight line, then

∠ AOE + ∠ EOD + ∠ DOE = 180° , substitute values

90 + x + 8 + 2x - 8 = 180 , that is

3x + 90 = 180 ( subtract 90 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

Thus

∠ DOB = 2x - 8 = 2(30) - 8 = 60 - 8 = 52°

∠ COF = 4x - 24 = 4(30) - 24 = 120 - 24 = 96°

∠ AOC = ∠ DOB ( vertical angles ), thus

y = 52, then

∠ BOF = 180° - (96 + 52)° = 180° - 148° = 32° ( angles on a straight line )

Answer:

If the overall diagram is 54 and one section of that whole diagram is 31 all we have to do is subtract the overall to the one section to find the other section.

Step-by-step explanation:

So...

54-31=23

Answer:

square numbers are numbers raised up to the power of two in essence the number multiplied by it self

Answer:

f(4) = 14

Step-by-step explanation:

To evaluate f(4), substitute x = 4 into f(x), that is

f(4) = 3(4) + 2 = 12 + 2 = 14

Answer:

Step-by-step explanation:

Explanation:

Use the extended form of the perfect square trinomial identity:

a4 + 2a2b2 + b4 = (a2 + b2)2.

a2 = x2 and b2 = 32

x4 + 18x2 + 81 = (x2)2 + (2)(x2)(32) + (32)2

= (x2)2 + 2(32)x2 + (32)2

= (x2 + 32)2

= (x2 + 9)2

The missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial:

= x⁴ + 18x² + 81

Let u = x²

[tex]\rm =u^2+18u+81[/tex]

or

= (x²)² + 2(9)x² + (3²)²

= (u + 9)²

= (x² + 9)²  or

= (x² + 9)(x² + 9)

Thus, the missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.

Learn more about Polynomial here:

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Answer:

True

Step-by-step explanation:

6 divided by 1/2 is the same as multiplying by two

Answer:

True

Step-by-step explanation:

6 divided by 1/2 = 12

You cannot divide a number by a fraction, so you must multiply by the reciprocal, or the opposite. The reciprocal of 1/2 is 2/1, or 2. 6*2=12

Answer:

Step-by-step explanation:

If B is the midpoint of AC then:

 AB  =  BC

4x - 10 = x - 1

+10         +10

4x  =  x + 9

-x       -x

3x  =  9

÷3      ÷3

x = 3

AB = 4x - 10 = 4×3 - 10 = 12 - 10 = 2

Answer:the first one is volume the second one is density

Step-by-step explanation:I took the test

Answer:

volume and density

Step-by-step explanation:

Answer:

6 cups of flour

Step-by-step explanation:

we know that

the ratio of the recipe=(1 1/2)/(3/4)

1 1/2=1.5 cups of flour

3/4 stick of butter-------> 0.75 stick of butter

by proportion

1.5/0.75=x/3---------> 3*1.5=0.75*x

x=3*1.5/0.75----------> x=6 cups of flour

Answer: it’s H <3

Step-by-step explanation: I had this on my homework and I got it right^^

It is possible that the situation does not represent a proportional relationship. The number of hours worked by an employee earning $8.50 per hour.

Therefore, The correct answer is option is B) The amount an employee who makes $8.50 per hour in h hours

The complete question is:

Which situation could NOT represent a proportional relationship?

A: The number of gallons of water in x barrel with 42 gallons of water in each barrel

B: The amount an employee who makes $8.50 per hour in h hours

C: The weight in x weeks of a puppy that gains 2 pounds per week if it's starting weight is 8 pounds

D: The cost of purchasing p pounds of bananas for $0.55 per pound​

To learn more about proportional relationship, refer to:

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Answer:

31=1/1

33=1/1

30=3/10

3-=-3

Step-by-step explanation:

Answer:

191

Step-by-step explanation:

47+144=191

Answer:

equation: 144+ 47= 191

Step-by-step explanation:

Answer:

b+4

Step-by-step explanation: If you add b to 4, than you get B+4

Answer:

The point (3, 9) represents 3 kilograms of weight with a spring stretch of 9 inches.

Step-by-step explanation:

y=13

Step-by-step explanation:

y=3x-5

y=3(6)-5

y=18-5

y=13

Answer:

3/4+1/5=19/20

Step-by-step explanation:

Answer:

19/20

Step-by-step explanation:

3/4+1/5

find the common denominator

15/20+4/20= 19/20

Answer:

The upper bound of the area is 6.69375 cm²

The lower bound of the area is 6.32875 cm²

Step-by-step explanation:

The question relates to measurements and accuracy

The given information are;

The base length of the triangle = 3.1 cm

The height of the triangle = 4.2 cm correct to one decimal place

The lower bound for the base length of the triangle = 3.05 cm

The upper bound for the base length of the triangle = 3.15 cm

Similarly, the lower bound for the height of the triangle = 4.15 cm

The upper bound for the height of the triangle = 4.25 cm

The formula for calculating the area of a triangle is given by the following formula;

Area of a triangle = 1/2 × Base × Height

The upper bound of the area = 1/2 × The upper bound of the base × The upper bound of the height

The upper bound of the area = 1/2 × 3.15 × 4.25 = 6.69375 cm²

The upper bound of the area = 6.69375 cm²

The lower bound of the area = 1/2 × The lower bound of the base × The lower bound of the height

∴ The lower bound of the area = 1/2 × 3.05 × 4.15 = 6.32875 cm²

The lower bound of the area = 6.32875 cm²

Answer:

[tex]A=\frac{B^3}{5g+m}[/tex]

Step-by-step explanation:

Step 1: Write out equation

5gA + mA = B³

Step 2: Factor out A

A(5g + m) = B³

Step 3: Divide both sides by 5g + m

[tex]A=\frac{B^3}{5g+m}[/tex]

Answer:

Step-by-step explanation:

[tex] \frac{7}{35} = \frac{4}{y} [/tex]

First of all cross multiply

That's

7y = 140

Divide both sides by 7

That's

[tex] \frac{7y}{7} = \frac{140}{7} [/tex]

We have the final answer as

Hope this helps you

Answer:

The 43rd day of spending $45.

Step-by-step explanation:

Let the number of days = x.

If she spends $45 per day, then in x days she spends 45x.

She starts with $2400, so 45x is subtracted from 2400.

2400 - 45x < 500

Subtract 2400 from both sides.

-45x < -1900

Divide both sides by -45. Remember to change the direction of the inequality sign when multiplying or dividing by a negative number.

x > 42.2

Answer: The first day is the 43rd day of spending $45.