The circumference of a circle is 8.97cm. Find the length of the diameter. Give your answer rounded to 2 DP. PLEASE HELP ME

Answers:

b) [tex]x(25x-1)[/tex]

c) [tex]x^{2}-4(x-3)[/tex]

d)[tex]4x(x-5)+25[/tex]

e)[tex]2(3x^{2}+11x+14)[/tex]

Step-by-step explanation:

b) We have the following expression:

[tex]25x^{2}-x[/tex]

Applying common factor [tex]x[/tex]:

[tex]x(25x-1)[/tex]

c) We have the following expression:

[tex]x^{2}-4x+12[/tex]

Applying common factor [tex]4[/tex]:

[tex]x^{2}-4(x-3)[/tex]

d)We have the following expression:

[tex]4x^{2}-20x+25[/tex]

Applying common factor [tex]4x[/tex]:

[tex]4x(x-5)+25[/tex]

e)We have the following expression:

[tex]6x^{2}+22x+28[/tex]

Applying common factor [tex]2[/tex]:

[tex]2(3x^{2}+11x+14)[/tex]

Answer:

False

Step-by-step explanation:

The mid segments are the lines between midpoints on the triangle. They aren't parallel, because they form a triangle inside the triangle.

Answer:

yes

Step-by-step explanation:

Answer:

The sum of the two numbers is 15

Step-by-step explanation:

Let the counting numbers be x and y.

Then we can write the following equations

x=4y.......1 (one is four times greater )

x(y)=36.....2 (the product of the two)

Putting equation 1 into equation 2, we get

4y(y)=36

[tex] {4y}^{2} = 36 [/tex]

Dividing through by 4,we get

[tex] {y}^{2} = \frac{36}{4} [/tex]

[tex] {y}^{2} = 9[/tex]

Taking square root of both side, we obtain

y=3

Putting the value of y into equation , we get

x=4(3)=12

Hence the numbers are 3 and 12

Therefore the sum of the two numbers is 3+12=15

One counting number is 4 times greater as the other counting number. The product of the two numbers is 36. The sum of the two numbers is 15.

Let's assume the smaller counting number as X. According to the question, one counting number is 4 times greater than the other, so the larger counting number is 4X. The product of the two numbers is 36, so we can set up an equation: X * 4X = 36. Simplifying, we get 4X^2 = 36. Divide both sides by 4 to get X^2 = 9. Taking the square root of both sides, we find X = 3. Therefore, the two numbers are 3 and 4 times 3 which is 12. The sum of these two numbers is 3 + 12 = 15.

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Answer:

17 rafts are needed for 136 people.

Step-by-step explanation:

Given:

Total number of people waiting for river raft ride = ?

Number of people the raft holds = 8

To Find:

The number of rafts needed =?

Solution:

Let X be the total number rafts needed to accommodate  all the 136 people waiting for the River Raft ride.

So now X will be

X= [tex]\frac{\text{Total number of people}}{\text{number of people a raft can hold}}[/tex]

X= [tex]\frac{136}{8}[/tex]

X = 17

100 children tickets and 200 adult tickets were sold.

Step-by-step explanation:

Given,

Cost of one student ticket = $4

Cost of one adult ticket = $6

Total sales = $1600

Number of tickets sold = 300

Let,

x represent the number of children tickets sold.

y represent the number of adult tickets sold.

According to given statement;

x+y=300      Eqn 1

4x+6y=1600   Eqn 2

Multiplying Eqn 1 by 4

[tex]4(x+y=300)\\4x+4y=1200\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](4x+6y)-(4x+4y)=1600-1200\\4x+6y-4x-4y=400\\2y=400[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{400}{2}\\y=200[/tex]

Putting y=200 in Eqn 1

[tex]x+200=300\\x=300-200\\x=100[/tex]

100 children tickets and 200 adult tickets were sold.

Keywords: linear equation, elimination method

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Answer:

It's 6 units

Step-by-step explanation:

i took the test

Answer:

$206.4

Step-by-step explanation:

8.6*24=206.4

Final answer:

The math problem 3x + 15 = 42 is represented by a word problem involving a teacher preparing for a math contest, aiming to have 42 pencils for students, leading to a solution where 9 students can participate.

Explanation:

Consider a scenario where a teacher is preparing a math contest for school and decides to include a question about buying pencils for students. The teacher figures that for every student participating, they will need 3 pencils. Along with these, the teacher wants to have an additional 15 pencils just in case. The total number of pencils the teacher aims to have is 42.

To solve, we can write the equation representing this scenario as 3x + 15 = 42. Here, x represents the number of students participating in the contest. Solving this equation will help us find how many students can participate if the teacher wants to achieve their goal of having 42 pencils ready for the math contest.

To find the number of students, we subtract 15 from both sides to get 3x = 27, and then divide both sides by 3 to get x = 9. Therefore, 9 students can participate in the math contest.

Answer:

AC = 12 units.

Step-by-step explanation:

Δ ACD is right-angled. ( as CD ⊥ AB).

cos 45° = CD / AC = 6√2 / AC

AC = 6√2 / cos 45°

AC = 6√2 / 1 /√2

= 6√2 *√2

= 6 * 2

= 12   (answer)

HOPE THIS HELPED ;3

Answer:

5×5

Step-by-step explanation:

the factorazation is 5×5

Final answer:

The number with a prime factorization of 2 x 5 x 5 is 50, which is obtained by multiplying 2 by 5 squared (2 x 25).

Explanation:

The student asked which of the following numbers has a prime factorization of 2 x 5 x 5. The prime factorization given can also be written as 2 x 52, since 5 x 5 equals 52 or 25. Therefore, we are looking for a number that is the product of 2 and 25.

By multiplying 2 by 25, we find that the correct answer is 2 x 25 = 50. Thus, the number that has a prime factorization of 2 x 5 x 5 is 50.

Samantha measured [tex]13\frac{1}{8}[/tex] inches for the entire month

Step-by-step explanation:

Samantha is measuring the snowfall in a snow Gog for her science project

We need to find how much snowfall Samantha measured for the entire month

∵ She measured [tex]3\frac{3}{4}[/tex] inches of snow in the 1st week

- Change the mixed number to improper fraction

∵ [tex]3\frac{3}{4}=\frac{(3)(4)+3}{4}=\frac{12+3}{4}=\frac{15}{4}[/tex]

∴ She measured [tex]\frac{15}{4}[/tex] inches of snow in the 1st week

∵ She measured twice as much snow as the 1st week in the 2nd week

- Multiply the value of the 1st week by 2

∵ [tex]\frac{15}{4}[/tex] × 2 =  [tex]\frac{30}{4}[/tex]

∴ She measured [tex]\frac{30}{4}[/tex] inches of snow in the 2nd week

∵ She measured half as much snow as the 1st week in the 3rd week

- Multiply the value of the 1st week by 1/2

∵ [tex]\frac{15}{4}[/tex] × [tex]\frac{1}{2}[/tex] =  [tex]\frac{15}{8}[/tex]

∴ She measured [tex]\frac{15}{8}[/tex] inches of snow in the 3rd week

∵ It did not snow at all in the fourth week

- Add the values of the three weeks above to find the amount

  of snowfall she measured for the entire month

∵ The amount of snowfall = [tex]\frac{15}{4}+\frac{30}{4}+\frac{15}{8}[/tex]

- To add the fraction you must make all the denominator same number

  so multiply the 1st and 2nd fractions by 2 up and down to make all

  the denominator equal 8

∴ The amount of snowfall = [tex]\frac{30}{8}+\frac{60}{8}+\frac{15}{8}[/tex]

- Add the numerators and put the sum over 8

∴ The amount of snowfall = [tex]\frac{105}{8}[/tex]

- You can change the improper fraction to mixed number by divide

  105 by 8 and put the reminder over 8

∵ 105 ÷ 8 = 13 and 1/8

∴ The amount of the snowfall = [tex]13\frac{1}{8}[/tex] inches

Samantha measured [tex]13\frac{1}{8}[/tex] inches for the entire month

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Answer: 37%

Step-by-step explanation:

Initial Population                                        = 100,000

 Population after 5 years                            = 137,000

Population increase                                    = 137,000 - 100,000

                                                                     = 37,000

Therefore % increase                                  = 37,000/100,000 x 100

                                                                     = 37%

Answer:

$896.70

Step-by-step explanation:

Amount( A) Devi earned can be calculated from the formula below

[tex]A =P ({ 1 + \frac{r}{m} })^{mt}[/tex]

Where,

P= principal=$750

r=rate=6%=0.06

m=compounding frequency=4

t=time=3yrs

[tex]A =750 ({ 1 + \frac{0.06}{4} })^{(4 \times 3)}[/tex]

[tex]A =750 ({ 1 + 0.015)}^{12}[/tex]

[tex]A =750 \times ({ 1.015)}^{12}[/tex]

[tex]A =750 \times 1.1956[/tex]

[tex]A = 896.70[/tex]

Answer:

135

885-750 is 135 on financial literacy

Answer:

C

Step-by-step explanation:

The ratio of frames : containers can be calculated using values from table.

3 : 12 = 7 : 28 = 9 : 36 = 1 : 4 ← in simplest form, thus

Number of containers is 4 times the number of frames

Thus for 5 picture frames the number of containers = 5 × 4 = 20 → C

Answer:

D

Step-by-step explanation:

Given

- 4x² - 5(x + 3) + x² ← distribute the parenthesis by - 5

= - 4x² - 5x - 15 + x² ← collect like terms

= - 3x² - 5x - 15

Answer:

53q+10

Step-by-step explanation:

(-3q+3)+7(8q+1)

-3q+3+56q+7

53q+3+7

53q+10

Answer:

[tex] - 3q + 3 + 56q + 7 \\ 53q + 10[/tex]

Good luck!

Intelligent Muslim,

From Uzbekistan.

Answer:

Step-by-step explanation:

Exponential functions have the form

f(x) = bx, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base and x is called the exponent.

Answer:

Exponential functions have the form

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 1/2 minutes = 4.5 minutes

2 / 4.5 = 0.44 laps per minute

OR

4.5 / 2 = 2.25 minutes per lap

not sure which one ur looking for...but both are unit rates

The unit rate of Jordan's swimming speed is approximately 0.44 laps per minute. This is calculated by dividing the number of laps (2) by the total time (4.5 minutes).

To identify the unit rate in this scenario, we first need to understand what we are finding. The unit rate means how much of something is done in one unit of time, in this case, how many laps Jordan can swim in one minute. Since Jordan can swim two laps in 4 1/2 minutes, we want to find out how many laps he can swim in one minute. We divide the total laps (2) by the total time (4.5). This will compute to approximately 0.44. Hence, Jordan can swim around 0.44 laps in one minute.

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Answer:

Step-by-step explanation:

midpoint theorem : (mx₂+nx₁/m+n , my₂+ny₁/m+n)

(-3, k) = ( -3*-2 + k*-5/-3+k  , -3*3 + k*-4/-3+k)

(-3, k) = (6-5k/-3+k , -9-4k/-3+k)

Compare x values of  both side ;

-3 = 6-5k/-3+k

-3 *( -3+k) = 6-5k

-3*-3 +k *-3 = 6-5k

9 -3k = 6- 5k

5k -3k = 6 - 9

2k = -3

k= -3/2

Answer:

x=-11, y=0. (-11, 0).

Step-by-step explanation:

x-12y=-11

x-y=-11

-------------

x=y+(-11)

x=y-11

y-11-12y=-11

-11y=-11+11

-11y=0

y=0/-11=0

x-0=-11

x=-11+0=-11

Answer:

B

Step-by-step explanation:

To find [tex]y=f(g(x))[/tex], substitute the value of [tex]g(x)[/tex] into the the function f(x) instead of x.

Consider option B:

Given

[tex]f(x)=\dfrac{7}{\sqrt{x}}\\ \\g(x)=8x+10[/tex]

So,

[tex]f(g(x))\\ \\=f(8x+10)\ [\text{Expression } 8x+10\text{ has a role of }x]\\ \\=\dfrac{7}{\sqrt{8x+10}}[/tex]

This is exactly what you need as answer.

A function is a relationship between inputs where each input is related to exactly one output.

The coordinates of the table are: (22, 26), (20, 22), (16, 20), (14, 18),

(10, 14).

The graph of the coordinates formed from the table must show a linear graph.

This means a straight line.

The graph is shown below and it is not a straight line.

The function represented in the table is not linear.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A function is represented by the values in the table.

x      y

22   26

20   22

16    20

14     18

10     14

Now,

We can find the coordinates of the given function.

(22, 26)

(20, 22)

(16, 20)

(14, 18)

(10, 14)

The graph of these coordinates must show a linear graph.

This means a straight line.

The graph is shown below and it is not a straight line.

Thus,

The function represented in the table is not linear.

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The length of the rectangle, given a perimeter of 120 cm and a width of 20 cm, is 40 cm.

This question pertains to the calculation of the dimensions of a rectangle given its perimeter and one side. In a rectangle, the perimeter is given by the formula 2(Length + Width). In this case, the perimeter is 120 cm, and the width is 20 cm. We can set up the following equation based on the given information: 120 = 2(Length + 20). After simplifying, we get 120 = 2*Length + 40, which leads to 2*Length = 120 - 40 or 2*Length = 80. Finally, solving for Length gives Length = 80 / 2 = 40 cm. Therefore, the length of the rectangle is 40 cm.

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The team moved the ball -3 yards per play.

Step-by-step explanation:

Given,

Total yards lost = 12 yards

Total plays = 4 plays

As the yards are lost, therefore, we will use negative sign.

Yards per play = [tex]\frac{Number\ of\ yards}{Number\ of\ plays}[/tex]

Yards per play = [tex]\frac{-12}{4}[/tex]

Yards per play = -3

The team moved the ball -3 yards per play.

Keywords: division, unit rate

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Answer:

1/3 simplified or 33/100

Step-by-step explanation:

33% is around one third of 100%. Aka, you multiply 33(.33)% by 3 to get 100% or you can leave it as 33/100.

Answer:

a) There are Total 25 Question on the test.

    Each question is worth 4 points.

b) Your friend answered 19 questions correctly.

Step-by-step explanation:

Given:

Question answered =24

Percent earn = 96%

Total point test = 100

We will first solve for part a.

We need to find Total Question on the test and Points worth each question.

Now We know that percent earn is equal to Question answered divided by Total Question on test and ten multiplied by 100.

Framing in equation form we get;

[tex]Percent\ earn = \frac{\textrm{Question Answered}}{\textrm{Total question on test}}\times 100\\ \\\textrm{Total question on test} = \frac{\textrm{Question Answered}}{\textrm{Perecent earned}}\times 100[/tex]

Substituting the given values we get;

Total question on test = [tex]\frac{24}{96}\times 100 =25[/tex]

Hence There are Total 25 Question on the test.

Now we will find each question worth points.

each question worth points can calculated by dividing Total Point test with total number of question on the test.

Framing the equation we get;

each question worth points = [tex]\frac{100}{25} = 4\ points[/tex]

Hence Each question is worth 4 points.

Now Solving for part b.

Given:

Percent earn by friend = 76%

we need to find number of question answered correctly.

question answered correctly = [tex]\frac{\textrm{Percent earned by friend}\times \textrm{Total Number of question}} {100}[/tex]

Substituting the values we get;

question answered correctly = [tex]\frac{76\times 25}{100} = 19[/tex]

Hence Your friend answered 19 questions correctly.

Answer:

a) There are Total 25 Question on the test.

   Each question is worth 4 points.

b) Your friend answered 19 questions correctly

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

First, you divide 416 by 65. This gets you 6.4. But it's not 1 in 65 eating pizza, it's 10 out of 65, so then you multiply 6.4 by 10, getting 64.

Answer:

6

Step-by-step explanation:

2x^4

a = 2

x = x

b = 4

a + b

2 + 4

6

The sum of a and b for the expression (2x^4) in ax^b form is 6, where a is 2 and b is 4.

The expression given is (2x^4), which is already in ax^b form. In this expression, a is the coefficient of the x term, and b is the exponent applied to the x variable. In this case, a is 2 and b is 4.

To find the sum of a and b, you simply add the two numbers together.

The sum of a and b is:

2 + 4 = 6

This result is achieved by recognizing that a represents the constant in front of the x term, and b represents the power to which x is raised.

Adding these two values gives us the sum of the coefficients and exponents in the ax^b expression.

Answer:

(-∞,∞) or {y|y∈R}

Step-by-step explanation: