Jimmy knows that to pass the fitness test he needs to be able to run 5 kilometers in 35 minutes. His pace monitor measures in miles. If he can run 3 miles in 35 minutes, will he pass his fitness test? Why or why not?


A) Yes, he will pass because he is running 5.2 km in 35 minutes.
B) Yes, he will pass because he is running 8.7 km in 35 minutes.
C) No, he will not pass because he is running 4.8 km in 35 minutes.
D) No, he will not pass because he is running 1.875 km in 35 minutes.

Answers

Answer 1
Final answer:

Jimmy, who can run 3 miles (roughly equivalent to 4.8 km) in 35 minutes, will not pass the fitness test as it requires running 5 kilometers in the same period.

Explanation:

The question is asking if Jimmy can pass the fitness test of running 5 kilometers in 35 minutes if he can run 3 miles in the same amount of time. In order to answer this question, we need to convert miles to kilometers. One mile is approximately equal to 1.60934 kilometers. So if Jimmy runs 3 miles, that's equivalent to 3 * 1.60934 = 4.82802 kilometers.

Therefore, the correct answer is C) No, he will not pass because he is running 4.8 km in 35 minutes. Despite his good effort, Jimmy is running less than the required 5 kilometers in 35 minutes based on the fitness test standards.

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Answer 2

Jimmy will not pass his fitness test by running 3 miles in 35 minutes, as this converts to approximately 4.82802 kilometers, which is less than the required 5 kilometers. Option C) is the correct answer.

Jimmy needs to know if running 3 miles in 35 minutes will allow him to pass his fitness test, which requires him to run 5 kilometers in 35 minutes. To determine if he will pass, we need to convert miles to kilometers. Since 1 mile is approximately 1.60934 kilometers, we multiply 3 miles by this conversion factor:

3 miles imes 1.60934 km/mile = 4.82802 km

So, Jimmy runs approximately 4.82802 kilometers in 35 minutes. Comparing this to the fitness test requirement of 5 kilometers in 35 minutes:

4.82802 km < 5 km

Thus, Jimmy will not pass the fitness test based on his current pace, as he runs just under the required distance in the allotted time.

The answer to the question is: C) No, he will not pass because he is running 4.8 km in 35 minutes.


Related Questions

A catering company is setting up for a wedding they expect 150 people to attend they can provide tables that seat 6 people and large tables that seats 10 people Is the point (20,5) a solution to the equation 6x+10y=150 explain the point (20,5) means in context

Answers

Answer:

(20,5) is NOT a solution of the equation [tex]6x+10y=150[/tex].

The point (20,5) implies that there are 20 small tables and 5 large tables.

Step-by-step explanation:

We have been given that a catering company is expecting 150 people to attend the wedding. There are two types of tables, ones which can fit 6 people and ones which can fit 10 people.

If there are x tables which can fit 6 people and there are y tables which can fit 10 people, we can express the total number of people that can fit on all available tables as: [tex]6x+10y[/tex].

Since there are total 150 people expected in the wedding, the equation can be framed as: [tex]6x+10y=150[/tex].

Let us check if the point (20,5) is a solution of the equation.

[tex]6*20+10*5=150[/tex]

[tex]120+50=150[/tex]

[tex]170=150[/tex]

Since we get a false statement, therefore, (20,5) is NOT a solution of the equation [tex]6x+10y=150[/tex].

The point (20,5) implies that there are 20 small tables and 5 large tables.

Final answer:

To determine if a point is a solution to an equation, substitute the values into the equation. The point (20,5) in the context of a catering company setting up tables represents 20 tables of 6 seats and 5 tables of 10 seats. However, this point is not a solution to the equation 6x + 10y = 150 because substituting these values does not make the equation true.


Explanation:

The point (20,5) in the context of this question represents the numbers of 6-seat and 10-seat tables the catering company needs to set up. To determine if the point (20,5) is a solution to the equation 6x+10y=150, you can substitute the first value of the ordered pair into the equation for x, and the second value for y.

If 6(20) + 10(5) equals 150, then (20,5) is a solution to the equation. Let's check: 6(20) = 120 and 10(5)=50, if you add these results, 120 + 50 you get 170, not 150. So, the point (20,5) is not a solution to the equation because when these values are substituted into the equation, they do not satisfy it (they do not make it true).
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What's the awnser for 3x-14=x+2

Answers

x = 8.

3x-14=x+2

   +14   +14

3x = x + 16

-x    -x

2x = 16

Which equals 8 divided.

So x = 8.

3x - 14 = x + 2

-x         -x      

2x - 14 =      2

     +14       +14

2x       =      16

[tex]\frac{2x}{2}[/tex]        =    [tex]\frac{16}{2}[/tex]

 x        =     8

Answer: x = 8

a company makes 2,500 profit on the sale of 20 products, what is the profit when the company sells 300 products

Answers

$37,500 profit


To solve this, find the unit rate by dividing 2500 by 20. This will get you an average of $125 profit made per product sold. Then multiply that by 300 (the number of products sold in total) to get your answer of $37,500 profit total.

Answer:

Assuming that the profit is the same for each sale, the amount they make is 37,500

Step-by-step explanation:

In order to find this, we set up a proportion using those numbers.

2500/20 = x/300 ----> Cross multiply

20*x = 2500*300 ----> Multiply

20x = 750,000 ----> Divide by 20

x = 37,500

which describes the behavior of the function f(x)=tan^-1(x)?

Answers

ANSWER

The correct answer is option C


EXPLANATION

The graph of [tex]f(x)=tan^{-1}(x)[/tex] is shown in the attachment.


You can see clearly that as

[tex]x\rightarrow \infty, f(x)\rightarrow \frac{\pi}{2}[/tex]

and as


[tex]x\rightarrow -\infty, f(x)\rightarrow -\frac{\pi}{2}[/tex]

These are are actually the two horizontal asymptotes to the given function.

Answer:

The answer is C I just took the test.

-1.5+1.9 what is the sum

Answers

Answer:  

 2            

 — = 0.40000  aka 0.4

 5          

       

I will try my best to assist you with your question!

1.9 + -1.5= 1.9-1.5

1.9-1.5=0.4

The answer is 0.4

Hope I helped!

Good Luck!

The odds against Carl beating his friend in a round of golf are 9:7. Find the probability that Carl will lose?

Answers

The ratio 9:7 gives you following statement:

Carl will win in 9 cases from 9+7=16; Carl will lose in 7 cases from 16.

Then the probability that Carl will lose is

[tex]Pr(\text{Carl will lose})=\dfrac{7}{16}.[/tex]

Answer: [tex]Pr(\text{Carl will lose})=\dfrac{7}{16}.[/tex]


WHAT IS A HUNDRED PLUS 200
(this question is a JOKE)

Answers

Answer:

um  uhhhh err ima say a flat 500

Step-by-step explanation:

i added 200 to 100 and got bored so added another 200 :D

Answer:

its uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh 299?

D=c-s/n solve for c

Answers

D = c-s/n

Dn = n(c-s/n)

Dn = c - s

Dn + s = c

c = Dn +s


Final answer:

To solve for c in the equation D=c-s/n, isolate c by multiplying both sides by n, then rearrange the terms and divide by (n-D).

Explanation:

To solve for c in the equation D=c-s/n, we need to isolate c. We can start by multiplying both sides of the equation by n to eliminate the fraction:

nD=cn-(s/n)(n)

Simplifying further, we get:

nD=cn-s

Next, we can bring the term cn to the left side of the equation by subtracting cn from both sides:

nD-cn=-(cn-s)

Rearranging the terms, we have:

-cn+nD=-(cn-s)

Factoring out c from the left side, we get:

c(n-D)=cn-s

Finally, we can solve for c by dividing both sides of the equation by (n-D):

c=(cn-s)/(n-D)

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a birthday party is being fun for 20 people at an arcade it cost $5 a person to provide food for everyone and each game cost $1 per play. assume that each person at the party plays the same number of games,x

Answers

What are you trying to find??

First, let's calculate the total cost for food. We know that we have 20 people to feed, and it costs $5 to provide food for each person. Therefore, we multiply the number of people by the cost per person to get the total cost for food. That would be:

20 people * $5/person = $100

So, the total cost for food is $100.

Next, let's calculate the total cost for the games. We're assuming that each person is playing x number of games, and that each game costs $1 to play. Therefore, we multiply the number of people by the cost per game and the number of games each person plays to find the total cost for games:

20 people * $1/game * x games = $20x

So, the total cost for the games depends on the number of games that each person plays.

If we want to find out the total cost of the party, we need to add the total cost for food and the total cost for games. This can be represented as:

$100 + $20x

This means the total cost of the party will be $100 plus $20 times the number of games each person plays. The exact total cost will depend on the value of x, i.e., the number of games each person plays.

What is the length of leg s of the triangle below?

Answers

Hey there!

There are a few ways to do this, but I'll give you the one I can explain best.

This is a right triangle. We know this because one of the angles is 90º.

The lengths of the sides of the right triangle can be represented by the following equation:

a² + b² = c²

We already have the values for a and c, c being the hypotenuse.

3² + b² = (√18)²

Let's square a and c.

9 + b² = 18

Subtract 9 from each side of the equation.

b² = 9

To find the final value for b, find the square root of each side of the equation.

b = 3

Your answer is 3, or option D.

Hope this helps!

The length of leg s in the right angled triangle given is 3.

What is the triangle?

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. A right angled triangle is a triangle in which of its angle measure 90 degrees.

Here, we have,

This is a right triangle. We know this because one of the angles is 90º.

The lengths of the sides of the right triangle can be represented by the following equation:

a² + b² = c²

We already have the values for a and c, c being the hypotenuse.

3² + b² = (√18)²

Let's square a and c.

9 + b² = 18

Subtract 9 from each side of the equation.

b² = 9

To find the final value for b, find the square root of each side of the equation.

b = 3

The answer is 3, or option D.

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Steven wants to buy a $580 bicycle. Steven has no money saved, but will be able to deposit $30 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $80 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?

Answers

$30 + $30 = $60

$60 + $30 = $90

To pay back his sister the $80 he will to deposit money into his account for 3 weeks.

Since Steven would have $10 left over in his account from paying his sister all he needs now is $570.

You need to divide:

$570/$30 = 19

So Steven will need to deposit $30 into his bank account for 19 weeks to be able to buy the $580 bicycle.

Hope this Helps!!

suppose the function, g(x), is used to model the height, y , of a soccer ball, x seconds after the ball is kicked up in the air. The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground . Suppose further that the ball reaches its maximum height of 15 feet in 2.2 seconds . What would be an appropriate domain for g(x)?

Answers

The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground . Suppose further that the ball reaches its maximum height of 15 feet in 2.2 seconds .

the ball reaches its maximum height of 15 feet in 2.2 seconds .

The ball takes 2.2 seconds to reach the maximum height from the ground

Ball takes another 2.2 seconds to reach the ground from the maximum height

So 2.2+ 2.2 = 4.4 seconds

The ball will be in the air for 4.4 seconds

So the domain of g(x) is 0 to 4.4 seconds

[0,4.4] is the domain in interval form

Answer:

Modeling  with Quadratic Function

1. y=3x^2-2x+2

2.y=4x^2+5x-6

3.33x^2-24x+635,2,555

4. -0.507x^2+14.907x-36.131

5. 0<x<4.4

Step-by-step explanation: i made 100%

Ramiya is using the quadratic formula to solve a quadratic equation. Her equation is x = after substituting the values of a, b, and c into the formula. Which is Ramya’s quadratic equation? Quadratic formula: x =

A. 0 = x2 + 3x + 2
B. 0 = x2 – 3x + 2
C. 0 = 2x2 + 3x + 1
D. 0 = 2x2 – 3x + 1
BRAINLIEST?


Answers

Answer:

The correct option is:   A.  [tex]0=x^2+3x+2[/tex]

Step-by-step explanation:

Quadratic formula:  [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

After substituting the values of a, b and c into the formula, Ramiya's equation is:   [tex]x=\frac{-3\pm\sqrt{3^2-4(1)(2)}}{2(1)}[/tex]

Comparing the above equation with the quadratic formula, we will get........

[tex]2a= 2(1)\\ a=1\\ \\ -b=-3\\ b=3\\ \\ 4ac=4(1)(2)\\ 4(1)c=4(1)(2)\\ c=2[/tex]

The standard form of any quadratic equation is:  [tex]ax^2+bx+c=0[/tex]

So, Ramiya’s quadratic equation will be:  [tex]1x^2+3x+2=0[/tex] or,  [tex]0=x^2+3x+2[/tex]

The Ramya's quadratic equation is 0 = x^2 + 3x + 2 option (A) is correct.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

The quadratic formula is:

[tex]\rm x=\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Ramiya equation is:

[tex]\rm x=\frac{-3\pm \sqrt{3^2-4(1)(2)} }{2(1)}[/tex]

Comparing the Ramiya equation to the quadratic formula, we get:

-b = -3 ⇒ b = 3

2a = 2(1) ⇒ a = 1

4ac = 4(1)(2) ⇒ c = 2

Put these values in the standard equation, we get:

[tex]\rm x^2+3x+2=0[/tex]  or

[tex]0=\rm x^2+3x+2[/tex]

Thus, the Ramya's quadratic equation is 0 = x^2 + 3x + 2 option (A) is correct.

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Change 1.4 to a fraction.

Answers

1.4 as a fraction is 1 4/10 (simplified to 1 2/5).

[tex]1.4=\dfrac{14}{10}=\dfrac{14:2}{10:2}=\dfrac{7}{5}[/tex]

if you travel 342 miles in 6 hours how many miles can you travel in 5 hours

Answers

Answer:

285

Explanation:

342 / 6 = 57 that's the mph, 57 * 5 = 285. So 285 miles in 5 hours.

Only if you know please!!!

What is the expression in simplest radical form?

√504

Answers

22.4 is the answer.

cal used

Answer:

6√14 I think

Step-by-step explanation:

2 3/4 + 4 5/12 = solve to simplest form

Answers

The answer to simplest form is 7 1/6

A carpenter has two lengths of wood; one is 108cm long and the other is 72cm long. He wants to cut them up to produce smaller pieces of wood to build a shelving unit so they all need to be the same length, with no wood left over. What is the greatest length, in cm, that he can make the shelves?

Answers

Answer:

36 centimeters.

Step-by-step explanation:

1. To solve this problem you must find the Greatest common factor.

2. List the prime factor of 108 and 72:

[tex]108:(2)(2)(3)(3)(3)=(2^{2})(3^{3})\\ 72:(2)(2)(2)(3)(3)=(2^{3})(3^{2})[/tex]

3. Now, you must choose the common prime numbers with the lowest exponents and multiply them:

[tex](2^{2})(3^{2})=(4)(9)=36[/tex]


Answer: He needs 36 cm to make the shelves.

Step-by-step explanation:

Since we have given that

Length of first wood = 108 cm

Length of second wood = 72 cm

We need to find the greatest length so that he can make the shelves.

Greatest length = h.c.f. of 108 and 72 { 36 cm.

Hence, he needs 36 cm to make the shelves.

Will mark brainliest for the RIGHT answer and it must be explained

Answers

Total hours is given as 50

Hours skiing is given as 5.

Divide hours skiing by total hours:

5 /50 = 0.1

Multiply that by 100 to get the percent:

0.1 x 100 = 10%

how do you solve (6-2^3)-3^2+2 and what is the answer

Answers

Answer:

-9

Step-by-step explanation:

Since there's no = sign in your expression, it's not an equation and can't be "solved."  Perhaps you mean, "How do you combine the following?"

(6 - 2^3) - 3^2 + 2 can be evaluated as follows:

6 - 8 - 9 + 2, or -9


Students made 7 art posters that were hung along a hallway that is 4.4 m long. The posters are 0.2 m apart and the first and last posters are 0.2 m from the ends of the hallway. How many meters wide was each poster?

Answers

To answer this question, we pose the problem as follows:

It is known that there are 7 posters and between them there is 0.2 meters of separation, we also know that between the beginning of the corridor and the first poster of 0.2 meters, and between the last poster and the end of the corridor there is 0.2 meters from separation . That is, there is a total of 8 separations of 0.2 meters in the corridor.

This is the real length of the corridor occupied by the posters.

[tex]4.4-8(0.2)\\[/tex]

So, if we call x the length of the posters, we can write the following equation for x

[tex]x =\frac{4.4-8(0.2)}{7}\\[/tex]

[tex]x = 0.4 meters\\[/tex]

Then the length of the posters is 0.4 meters

What total length of ribbon is needed to Line the two long sides of the hat?

Answers

Answer:

Total length of ribbon to line the long sides will be 22 in

Step-by-step explanation:

In the given figure of kite if we draw a line "h" vertically will form two right angle triangles.

Then by applying Pythagoras theorem in both the triangles.

h²= (3x + 5)² + (2x + 1)² ------(1)

h²= (5x + 1)² + 5² ------(2)

By equating both the equations

(3x + 5)² + (2x + 1)² = (5x + 1)² + 25

9x² + 25 + 30x + 4x² + 4x + 1 = 25x² + 10x + 1 + 25

13x² + 34x + 26 = 25x² + 10x + 26

13x² - 25x² + 34x - 10x + 26 - 26 = 0

- 12x² + 24x = 0

12x² - 24x = 0

x² - 2x = 0

x(x - 2) = 0

x = 2

Now we will put x = 2 in the measure of sides of the kite.

Side 1 = (3x + 5)

          = 3×2 + 5

          = 11

Side 2 = (5x + 1)

          = 5×2 + 1

          = 11

Side 3 = (2x + 1)

          = 2×2 + 1

          = 5

Therefore, Total length of ribbon to line the long sides will be = 11 + 11

= 22 in.

Your answer will be D-22.

6x+7y=4x+4y

Complete the missing value in the solution to the equation.

(___,-4)

Answers

Answer:(6,-4)


Step-by-step explanation:

6x+7y=4x+4y

If (?,-4)


So we are solving for x. Substitute the y with -4.abd solve.


6x+7(-4)=4x+4(-4)


Multiply 7(-4) on left side and 4(-4) on right side.


6x-28=4x-16

Subtract 4x both sides to get x term on left side

6x-4x-28= -16


Now add 28 to both sides to move to the right side because you want to keep x on left side.

6x-4x=28-16

2x= 28-16

Subtract 28 from 16

2x= 12


Divide 2 to both sides

X=12/2

Solve 12÷2=6

X=6



Answer:

[tex]S=\left \{ \left ( 6,-4 \right ) \right \}[/tex]

Step-by-step explanation:

1) In this equation we have one solution already given for y. y=-4. Let's make it one simplest equation:

[tex]6x+7y=4x+4y\\6x-4x=-7y+4y\Rightarrow 2x=-3y[/tex]

Now, plugging in the y value already given:

2)[tex]2x=-3(-4)\Rightarrow 2x=12\Rightarrow x=6[/tex]

[tex]S=\left \{ \left ( 6,-4 \right ) \right \}[/tex]

You order the sausage and eggs breakfast, and your friend orders the ham omelet. How much is the bill before the taxes and tip?

Answers

the total bill before taxes and tip is $18.

To calculate the total bill before taxes and tip, we simply need to sum up the costs of the sausage and eggs breakfast and the ham omelet.

Cost of sausage and eggs breakfast = $8

Cost of ham omelet = $10

Total bill before taxes and tip = Cost of sausage and eggs breakfast + Cost of ham omelet

Total bill before taxes and tip = $8 + $10

Total bill before taxes and tip = $18

So, the total bill before taxes and tip is $18.

The probable question maybe:

In a restaurant You order the sausage and eggs breakfast That costs $8, and your friend orders the ham omelet That costs $10. How much is the bill before the taxes and tip?

Simplify.
(4^3)^5
A) 4^-2
B) 4^3
C) 4^8
D) 4^15

Answers

The answer is D because the 4 is the same then you times 5×3 and you get 4^15

Gilbert Chan deposits $500.00 each month into a savings account with a 3.2% annual interest rate, compounded monthly. How much is the account after 4 months?

Answers

The answer would be $2,064 I believe. Hope this helps!

Is (-1,2) a solution of y=-5x+7

Answers

No, it is not. I will show you:

-1 = x  and 2 = y

2 = -5(-1) + 7

2 is not equal to 12. I hope this is right!

Gotcha!

When graphing this equation, (-1,2) does NOT cross on the graph. If you're are look for "m", the answer would be -5. So no, (-1,2) is not a solution to y=-5x+7.

:-)

Can someone pleaseeee place the red ones in the right category pleaseeee I’m begging you

Answers

the square root of 8 is an irrational number

Root 8 is irrational as 8 = 2×2×2

Root of 8 is 2 root 2

0 is whole no.

-8/4 = 2 is an integer

49/7=7 is an integer

Rest .333333 and 9.23456 are rational as .3333 is non terminating repeating and 9.23456 is terminating

Charmaine, Hans and Tom have a total of $84 in their wallets. Tom has 3 times what Charmaine has. Hans has $9 more than Charmaine. How much does each half

Answers

Tom has $252, Hans has $93 and Charmaine still has $84.

You finish 3/8 of the project. Your friend finishes 1/4 of the project. What fraction of the project is finished??

Answers

5/8 of the project is done

5/8th of the complete project is finished by you and your friend.

What is a fraction ?

A fraction is some part of a total amount given.Fractions are of two types one is proper fraction and other is improper fraction.

According to the given question You finish 3/8 of the project.

Your friend finishes 1/4 of the project.

∴ The total fraction of the project that is finished will be the sum of out total work which is

= 3/8 + 1/4.

Now we have to take LCM of the denominators which is 8.

So,

3/8 + 1/4.

= (3 + 2)/8.

= 5/8.

So, 5/8th of the project is finished by both of us.

learn more about fractions here :

https://brainly.com/question/10708469

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