What is the GCF of 42, 28, and 70?

Answer-

The total number of the 80 students responded to the poll.

Solution-

The percentage of student who responded that football was their favorite sport = 27.5%

The percentage of student who responded that basketball was their favorite sport = 17.5%

As the remaining students opted for others, so the percentage of student who opted other sport = 100-(27.5+17.5) = 100-45 = 55%

The number of student who chose others, was found to be 44. If total number of student participated in the opinion poll was x, then

[tex]\Rightarrow x \times\frac{55}{100} =44[/tex]

[tex]\Rightarrow x=44 \times\frac{100}{55}=80[/tex]

∴ The total number of the people who responded to the poll was 80.

we know that

Unit Rate is the ratio of two measurements in which the second term is one

so

to find the unit rate divide [tex](5/8)[/tex] by [tex](1/4)[/tex]

[tex]Unit\ rate=\frac{(5/8)}{(1/4)}= \frac{5}{8}*4= \frac{2.5}{1} =2.5 \frac{ft^{2}}{hour}[/tex]

therefore

the answer is

The unit rate is [tex]2.5 \frac{ft^{2}}{hour}[/tex]

Answer:

2/5

Step-by-step explanation: multiply then break down the fraction

OK.

Let g(x) = ax²

We have the point (3, 1).

Substitute x = 3 and g(x) = 1:

1 = a(3²)

9a = 1    |divide both sides by 9

a = 1/9

Therefore your answer is

[tex]g(x)=\dfrac{1}{9}x^2=\left(\dfrac{1}{3}x\right)^2[/tex]

Answer:

179/180

Step-by-step explanation:

Step One

Find the prime factors of 18 and 20

18:3*3*2

20: 2 * 2 * 5

Step Two

You need two 2s two 3s and one 5 for the common denominator

The common denominator is 2 * 2 * 3 * 3 * 5 = 180

Step Three

Put the two fractions over 180

[tex]\dfrac{17*10}{10*18} + \dfrac{1*9}{10*18}[/tex]

[tex]\dfrac{170}{180} + \dfrac{9}{180}[/tex]

179/180

The Mean is the value of all the numbers in a data set added together and divided by the amount of numbers there are for example the mean of the set 2,5,8,9 is 6.

The median is the middle values of all the numbers. If there are 2 medians, you usually have to add them both and divide by 2 to get the actual median

The mode is the number(s) that show up the most in the data set. for example, the mode of the data set 2,2,3,4,4,4,6,9 is 4, because it is repeated 3 times.

hope this helped!

Answer:

Standard Form

Step-by-step explanation:

we know that

A quadratic function written in standard form is

[tex]y=ax^{2} +bx+c[/tex]

in this problem we have

[tex]y=2x^{2} +5x-1[/tex]  

so

[tex]a=2\\b=5\\c=-1[/tex]

Final answer:

The function y = -2x² + 5x - 1 is written in standard form, which for a quadratic function is ax² + bx + c.

Explanation:

The function given is y = -2x² + 5x - 1. This function is written in standard form, which is characterized by the quadratic term, followed by the linear term, and then the constant term. The general form of a quadratic function is ax² + bx + c, where a, b, and c are constants, and in this case, a is -2, b is 5, and c is -1.

The two integers between which the cube root of 50 lies are 3 and 4.

To find the two integers between which the cube root of 50 lies, we can start by evaluating the cube roots of consecutive integers until we find the two integers that enclose the cube root of 50.

Let's calculate the cube roots of some consecutive integers:

Cube root of 1: 1

Cube root of 2: 1.25992

Cube root of 3: 1.44225

Cube root of 4: 1.58740

Cube root of 5: 1.70997

Cube root of 6: 1.81712

Cube root of 7: 1.91293

Cube root of 8: 2

Cube root of 9: 2.08008

Cube root of 10: 2.15443

We can observe that the cube root of 50 is greater than the cube root of 27 (which is approximately 3), and less than the cube root of 64 (which is 4). Therefore, the cube root of 50 lies between 3 and 4.

Hence, the two integers between which the cube root of 50 lies are 3 and 4.

Learn more about cube root click;

https://brainly.com/question/12726345

#SPJ6

Answer:

Step-by-step explanation:

Solution is given in attachment

Answer:

It is A the first quadrant

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Two factors of 64 that add up to 12 are 8 and 4.

8 x 8 is 64 so its a factor of 64

16 x 4 is 64 so its a factor of 64

8 + 4 = 12

Answer:

Step-by-step explanation:

Given that in the  town of Clover, 3 out of 5 citizens who are eligible to bit did so in the fall election.

A) No of citizens =400

Assume the same proportion as given holds good here

the number of citizens that voted in the fall election=[tex]\frac{3}{5} (400) \\= 240[/tex]

B) Assume the same proportion as given holds good here

No of citizens that voted in the fall election=180

Total no of citizens = [tex]\frac{5}{3} (180)\\=300[/tex]

4

9

16

25

36

49

64

81

100

(more than 6, oops)

  Your answer will be 1/55 or A because, at the beginning of the problem it states "you are one of 55 people" ((:

The probability that your name will be drawn first out of 55 people is 1/55.

The probability that your name will be drawn first out of 55 people can be calculated using the formula:

Probability = 1/Total number of people

Therefore, the probability that your name is drawn first is:

Probability = 1/55

So the correct option is A - 1/55.

https://brainly.com/question/32117953

#SPJ2

1/2 because 3 divided by 6 equals 0.5 or 1/2

Assuming that the question is "11 times 6" rather than "11x times 6". The answer would be 66.

The equation for this problem is: 11 + (11 x 6) - 11)

"11 more than" means you would add 11 to the next equation. "11 less than" means you would subtract 11 from the following equation.

According to Order of Operations, you would start with the expressions in the parenthesis. So we would start with "11 x 6", which is 66. Then the expression would become 11 + (66 - 11). We would do the expression the parenthesis, "66 - 11", and we would get the answer 55. The expression would become 11 + 55, and 11 + 55 is 66.

The arithmetic statement '11 more than 11 less than (11x6)' first requires you to do the multiplication, resulting in 66, then subtract 11 to get 55, and finally add 11 to get 66.

The mathematical statement "11 more than 11 less than (11x6)" is an arithmetic problem that requires several steps to solve. Firstly, compute the values in brackets. You must multiply 11 by 6, which results in 66. The next step is to understand what '11 less than' means. It means to subtract 11 from 66, which gives you 55. Then you interpret the last part of the statement: '11 more than', which means you add 11 to that 55. This finally gives you a sum of 66.

https://brainly.com/question/33876047

Profit means increase in money.

So, then the answer would be +650 because the person is gaining money, not losing it.

If the person was losing it, then the answer would be -650.

I hope that this helped you! :) Comment if u have any questions.

Using partial quotients is a method of dividing where you break the DIVIDEND into sections that are easy to divide

I did the work, and the quiz.

Your answer is A.

Answer: the equation has no solution.

I really hope this helps :)

-Izzie

Jocelyn answered 76% of the questions correctly on her test. To find the percentage of questions Jocelyn answered correctly, we can use the following formula: Percentage = (Number of Correct Answers / Total Number of Questions) × 100

Given that Jocelyn got 19 out of 25 questions correct, we can plug these values into the formula:

Percentage = (19 / 25) × 100

Now, let's calculate the percentage:

Percentage = 0.76 × 100

Percentage = 76

Jocelyn answered 76% of the questions correctly on her test.

To know more about test:

https://brainly.com/question/33824512

#SPJ6

Hello!

The approximate volume of the cylinder is the second option: 59.3 [tex]ft^{3}[/tex]

V = [tex]\pi r^{2} h[/tex]

V = 3.14 * 3^2 * 2.1

V = 3.14 * 9 * 2.1

V = 59.346 [tex]ft^{3}[/tex]

Final answer:

Explanation of calculating the volume of a cylinder with given radius and height using the formula V = πr²h.

Explanation:

The volume of a cylinder can be calculated using the formula V = πr²h. Given a radius of 3 feet and a height of 2.1 feet, when plugged into the formula with π = 3.14, the volume is approximately 19.74 cubic feet.

Initial amount in Elaine's account = m dollars ---- (1)

On December 8, total money deposited by Elaine = 1200 + r + 568.9

= r + 1768.9 ----- (2)

Total money on her account now = m + r + 1768.9

Total money she cashed by cheques = t + 73.7.

Therefore, her current balance in her account = (m + r + 1768.9) - (t + 73.7)

= (m + r - t) + 1695.2.

Hence, the algebraic expression that represents the amount of money in her account after the transactions is (m + r - t) + 1695.2.

Final answer:

Elaine's checking account balance after her transactions is represented by the algebraic expression m + 1200 + r + 568.90 - t - 73.70, with m being her initial balance, r the amount deposited, and t the amount from the check that was cashed.

Explanation:

Elaine had m dollars in her checking account. After various transactions, we can represent the amount of money in her account with an algebraic expression. The transactions include deposits and cashed checks. The deposits add money to her account, while cashing checks subtract money from her account.

To calculate the new balance, the following expression can be used:

New Balance = original balance + sum of deposits - sum of cashed checks

In Elaine's case, her initial balance is m dollars. She deposited $1,200, r dollars, and $568.90, which are added to her account. She also cashed checks for t dollars and for $73.70, which are subtracted from her account. Therefore, the algebraic expression representing the new account balance after these transactions would be:

m + 1200 + r + 568.90 - t - 73.70

The complex numbers are [tex]\(5i - 2\)[/tex] and [tex]\(5i + 2\)[/tex], meeting the conditions: sum [tex]\(10i\)[/tex], difference [tex]\(-4\)[/tex], product [tex]\(-29\)[/tex].

Let's denote the two complex numbers as [tex]\(a\)[/tex] and [tex]\(b\)[/tex].

Given:

1. [tex]\(a + b = 10i\)[/tex]

2. [tex]\(a - b = -4\)[/tex]

3. [tex]\(a \times b = -29\)[/tex]

From the first equation, we can isolate one variable in terms of the other:

[tex]\[ a = 10i - b \][/tex]

Now, substitute this expression for [tex]\(a\)[/tex] into the second and third equations:

[tex]\[ (10i - b) - b = -4 \][/tex]

[tex]\[ 10i - 2b = -4 \][/tex]

[tex]\[ 2b = 10i + 4 \][/tex]

[tex]\[ b = 5i + 2 \][/tex]

Now that we have found [tex]\(b\)[/tex], we can substitute it back into the expression for [tex]\(a\)[/tex] to find [tex]\(a\)[/tex]:

[tex]\[ a = 10i - (5i + 2) \][/tex]

[tex]\[ a = 10i - 5i - 2 \][/tex]

[tex]\[ a = 5i - 2 \][/tex]

So, the two complex numbers are [tex]\(5i - 2\)[/tex] and [tex]\(5i + 2\)[/tex]. Both of these satisfy the given conditions.

Answer:

6

Step-by-step explanation:

rise = 6

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

run = 1

Rise is the y axis and run is the x axis. You look at the point and first go either up or down to the point you need to stop at. In this case we go down. Run is when you go sideways. Once you reach the line where the point lies, you need to go sideways 1 time to get to the point. Since rise is over run, 6 over 1

Therefore...........

6 over 1 = 6!!!!

Answer:

6

Step-by-step explanation:

the answer to your question is D

Answer:  the correct option is

(D) (-7, -1), 6 units.

Step-by-step explanation:  We are given to find the co-ordinates of the center and the length of the radius of the following circle :

[tex]x^2+y^2+14x+2y+14=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We know that

the STANDARD equation of a circle with center at the point (h, k) and radius of length r units is given by

[tex](x-h)^2+(y-k)^2=r^2.[/tex]

From equation (i), we have

[tex]x^2+y^2+14x+2y+14=0\\\\\Rightarrow (x^2+14x+49)+(y^2+2y+1)+14-49-1=0\\\\\Rightarrow (x+7)^2+(y+1)^2-36=0\\\\\Rightarrow (x+7)^2+(y+1)^2=36\\\\\Rightarrow (x-(-7))^2+(y-(-1))^2=6^2.[/tex]

Comparing the above equation with the standard equation of a circle, we get

center, (h, k) = (-7, -1)  and radius, r = 6 units.

Thus, (D) is the correct option.