Aiden cuts a ball of string into 14 equal pieces. The length of each piece of string is 2 1/4 yards. What is the original length of the ball of string?

Answer:

0.2% of the people had mid allergic reaction.

Step-by-step explanation:

Given that:

Number of people tested for a new shampoo = 9000

Number of people who had allergic reaction = 18

Percent of people = [tex]\frac{People\ who\ have\ reaction}{Total\ number}*100[/tex]

Percent of people = [tex]\frac{18}{9000}*100[/tex]

Percent of people = 0.002 * 100

Percent of people = 0.2%

Hence,

0.2% of the people had mid allergic reaction.

Answer:

Slope: -7

y-intercept: (0,12)

Answer:

here give my friend the brainliest ^^;

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Real numbers = 39 and 9

Step-by-step explanation:

The standard form of a quadratic equation is ax² + bx + c = 0

Given the following data;

a = 1

b = -43

c = 306

Quadratic equation formula is;

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

Substituting into the equation, we have;

[tex] x = \frac {-(-43) \; \pm \sqrt {43^{2} - 4*1*306}}{2*1} [/tex]

[tex] x = \frac {43 \pm \sqrt {1849 - 1224}}{2} [/tex]

[tex] x = \frac {43 \pm \sqrt {625}}{2} [/tex]

[tex] x = \frac {43 \pm 25}{2} [/tex]

[tex] x_{1} = \frac {43 + 25}{2} [/tex]

[tex] x_{1} = \frac {68}{2} [/tex]

[tex] x_{1} = 39 [/tex]

[tex] x_{2} = \frac {43 - 25}{2} [/tex]

[tex] x_{2} = \frac {18}{2} [/tex]

[tex] x_{2} = 9 [/tex]

Therefore, the two real numbers are 39 and 9.

The quadratic equation now becomes;

x² - 43x + 306 = (x - 39)(x - 9) = 0

Complete question

A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.

What is the rate of change of the distance between the bottom of the ladder and the wall at that instant(in meters per minute)

Answer:

[tex]\frac{dx}{dt}=11.94m/min[/tex]

Step-by-step explanation:

From the question we are told that

Slant height [tex]z=29m[/tex]

Change in Vertical height  [tex]\triangle y=7m/s[/tex]

Horizontal length [tex]x=21[/tex]

Generally in finding the distance form the  top to the bottom of the wall it is mathematically given by

 [tex]x^2+y^2=z^2[/tex]

 [tex]21^2+y^2=29^2[/tex]

 [tex]y^2=29^2+21^2[/tex]

 [tex]y=35.81[/tex]

Generally solving for the differential equation is mathematically represented as

 [tex]x^2+y^2=29^2[/tex]

 [tex]2x*\frac{dx}{dt} +2y*\frac{dy}{dt} =0[/tex]

 [tex]x*\frac{dx}{dt} +y*\frac{dy}{dt} =0[/tex]

 [tex](21)*\frac{dx}{dt} +(35.81)*(-7) =0[/tex]

 [tex](21)*\frac{dx}{dt} -250.64 =0[/tex]

 [tex]\frac{dx}{dt}=\frac{250.64}{21}[/tex]

 [tex]\frac{dx}{dt}=11.94m/min[/tex]

The rate of change of the distance between the bottom of the ladder and the wall at that instant is 6.67 meter per minute.

Let us consider that distance between the top of the ladder and the ground is x meter and distance between the bottom of the ladder and the wall is y meter.

So, A right angle triangle is formed.

Since, the bottom of the ladder is 21 meters from the wall.

So,    [tex]y=21[/tex]

Applying Pythagoras theorem,

                         [tex]x^{2} +y^{2}=(29)^{2} \\\\x^{2} +(21)^{2}=(29)^{2} \\\\\\x^{2} =841-441=400\\\\x=\sqrt{400} =20[/tex]

Given that,   the distance between the top of the ladder and the ground is decreasing at 7 meters per minute.

                           [tex]\frac{dx}{dt}=-7meter/min[/tex]

Differentiate below equation with respect to time.

                     [tex]x^{2} +y^{2}=(29)^{2} \\\\2x\frac{dx}{dt}+2y\frac{dy}{dt}=0 \\\\2(20)(-7)+2(21)\frac{dy}{dt}=0\\\\\frac{dy}{dt}=\frac{280}{42}=6.67meter/min.[/tex]

Thus, the rate of change of the distance between the bottom of the ladder and the wall at that instant is 6.67 meter per minute.

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Answer:

Dimes = 35

Quarters = 14

Step-by-step explanation:

Let

quarters = q

Dimes = d

Total coins = 49

There are 2.5 times as many quarters as there are dimes in the bag

Dimes = 2.5q

Quarters + Dimes = Total

q + 2.5q = 49

3.5q = 49

q = 49/3.5

q = 14

d = 2.5q

= 2.5 * 14

= 35

d = 35

Therefore,

Dimes = 35

Quarters = 14

Answer:

The system of equations that models this equation area:

d + q = 49

q = 2.5d

Answer:

c=72

Step-by-step explanation:

8

=

9

8

⋅

8

=

8

⋅

9

Answer:

91

Step-by-step explanation:

For questions like these, you multiply the denominator times what it equals

Like in this case you do 8x9

I hope this helps!

Answer:

Step-by-step explanation:

2x⁵ + 3x²- 2 → Quintic trinomial

12x → Linear monomial

7x³ -1 → Cubic binomial

3 - 4x → Linear binomial

4x - 5x³ + 1 → Cubic trinomial

2x²(x³ - 1) = 2x⁵ - 2x² → Quintic binomial

x²(4x - 1 + x²) = 4x³ - x² + x⁴ → Quartic trinomial

(x - 2)(x + 3) = x² + x - 6 → Quadratic trinomial

(x² - 1)(x² + 1) = x⁴ - 1 → Quartic binomial

Hey there!

The answer to your question is $240.87

First we need to find how much he earned:

9.75 x 30

292.50

Now, we find the amount of all the deductions:

292.50(0.1 + 0.062 + 0.0145)

51.63

Now, we take this off the total pay:

292.50 - 51.63

240.87

The amount of pay after deductions was 240.87

Hope it helps and have an amazing day!

Answer:

$243.34425 round it up to the nearest 100th place

Step-by-step explanation:

9.75*30

=$295.5

=$295.5*10/100

for Federal income tax is $29.55

$295.5*6.2/100

Social Security tax $18.321 round it up $18/32

$295.5*1.45/100

Medicare tax is $4.28475 round it up to the nearest 100ths place $4.28

add all of them

$29.55+$18.321+4.28475= $52.15575 round it up = $52.16

sutract the amount you got paid

$295.5-$52.16=$243.34425

or you could have done

add all the %

10+6.2+1.45=17.65*295.5/100

=52.15575

hope it helped

Answer: 1.C 2.B

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

-x=1-5 (subtract 5 from both sides to isolate the x variable)

-x= -4 (1-5= -4)

x=4  (divide both sides by -1 so the x will not be a negative.)

Therefore, your answer will be x=4. Hope this helps! :)

Answer:

4

Step-by-step explanation:

First, let's move "+5" on the other side. We should change "+" on "-":

-x=1-5

1-5=-4:

-x=-4 |• (-1)

x=4

Answer: 450 lbs

Step-by-step explanation:

45/100 is 45%

Since there are 1000 lbs we multiply 45/100 by 10, giving us 450/1000

Therefore 45% of 1,000 is 450

450 pounds of sand is present in the soil.

'A percentage is a number or ratio expressed as a fraction of 100. A percentage is a dimensionless number, that is, it has no unit of measurement.'

Total weight of soil in Sean's backyard = 1000 pounds

Percentage of sand in the soil = [tex]\frac{45}{100}[/tex]

Total amount of sand in the soil = ( [tex]\frac{45}{100}[/tex] × 1000 ) lbs

                                                     = 450 lbs

Hence, we can conclude, 450 pounds of sand is present in the soil in Sean's backyard.

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Answer:

4321

Step-by-step explanation:

rreer5t66

Answer:

96.0 or 96.01499407

Step-by-step explanation:

r = C / (pi x 2)

Answer:

$715.50 my dudeeee

Step-by-step explanation:

..........

Ralph pays a total of $715.5 for the computer including the sales tax amount.

Percentage is defined as the part of a number in a whole of 100. % is the symbol used to denote the percentage.

Percentage of a number in a whole can be calculated by dividing that number with the whole and then multiply to 100.

Actual price of the computer = $675

Sales tax rate = 6%

Ralph has to pay the actual price and in addition the sales tax to buy the computer.

Amount of sales tax = 6% × 675

                                 = (6/100) × 675

                                 = 0.06 × 675

                                 = $40.5

Ralph should add $40.5 to the actual price.

Total payment made for buying the computer = $675 + $40.5

                                                                             = $715.5

Hence Ralph pays a total amount of $715.5 for the computer.

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Answer:

Answer:

x=56

Step-by-step explanation:

16 x 7= x * 2

[tex]x=\frac{16 x7}{2}[/tex]

x=56

Hope this helps :)

Answer: y=-4x+9

Step-by-step explanation:

m= -4

b=9

Answer:

the slope is 4

y-intercept is -2

and the equation is

y=4x -2

Answer:

x>60

Step-by-step explanation:

when solving for X that is

Answer:

x>60

Step-by-step explanation:

x/2-8>22

    +8 +8

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

x/2>30

x>60

Answer:

0.5

Step-by-step explanation:

The local minimum is the hill made between 0 and 1 on the y axis. Since it is between 0 and 1, 0.5 is the best choice.

Answer:

2.5

Step-by-step explanation:

Answer:

Shawn.

Step-by-step explanation:

We can solve for apples per hour and pears per hour. For Shawn, to get the apples per hour, we do 4/2 which is 2 bushels of apples per hour. For pears, we do 5/2 which is 2.5 bushels of pears per hour.

When Carla is picking, we can do:4/3 which is 1 and 1/3, which is her apple bushel picking per hour. For her pears, she picks them at 2 bushels of pears per hour.

Since Shawn picks her apples quicker per hour, and her pears quicker per hour, Shawn picks at a faster fruit pace.

Answer:

an ordered pair

the point where all the lines intersect (which is located by the ordered pair above)

No solutions (in case for example you have parallel lines, so no point there they intersect)

Infinitely Many Solutions (this is when for example you have one single equation, each point of the line is a solution and there are infinite points)

Step-by-step explanation:

basically a "system" means finding a solution that is valid for each equation, like a logical AND

so in this case it means finding a point that lies on each line, and that point can only exists (the intersection of those lines) or not exist (they are parallel)

if the system is made of one single linear equation then you have infinite solutions

Answer:

true for sure it \s pretty easy to do but hard to explain

Answer:

the answer is false I think

Answer:

17 w  +  35

Step-by-step explanation:

You get this answer by using PEMDAS.

Answer:

B. y = 2x + 1

Step-by-step explanation:

Substitute the information into the point-slope form equation.

y - y₁ = m(x - x₁)

y - (-5) = 2(x - (-3)

y + 5 = 2(x + 3)

y + 5 = 2x + 6

y = 2x + 1

Answer:

c!

Step-by-step explanation:

Answer:

It's C

Step-by-step explanation:

I got a 100% on edge, have a delightful day Chicos y chicas!

Answer: A

Step-by-step explanation:

Answer:

Choice C

Step-by-step explanation:

The line is a linear line because it's straight exponential lines are more like an arch.

Next the line is increasing because it's going up not down if it was down it would be decreasing.

C) Linear increasing is the category of the graph.

The line is a linear line because its straight exponential lines are more like an arch. Next, the line is increasing because it's going up not down if it was down it would be decreasing.

If a linear graph is growing then its gradient is superb, for the reason that while x will increase by using 1, y adjustments through an advantageous quantity. If a linear graph is lowering, the gradient is a terrible range.

The key difference between linear and exponential increases is the slope of the curves (this is, the rate of an exchange over the years). A linear boom function has an advantageous constant slope, while an exponential increase feature has a high-quality slope that is continually growing.

Despite the fact that you're probably really familiar with growth, any increase that reasons the output Y to be larger than the enter X is known as a non-linear boom. In standard, the outputs of human interest grow in a non-linear style.

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