Write the equation of each line in slope intercept form

We can Add 7 black beads to make ratio 3 : 1.

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)b : 3

Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3    

Both sides divisible by 3; reduce ratio

= 3 : 1        

Which is Correct ratio

Hence, There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore , we need to add 7 black beads.

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Answer:

The perimeter of a circle is equal 2 * pi * radius. So, if we let "d" be the diameter of the circle, we can use the following to solve for the radius:

Perimeter = 2 *p * radius = 51.42 cm

we can then use the relationship between the diameter and the radius to solve for the diameter:

d = 2 * radius

substitute the value of the perimeter equation into the diameter equation:

d= 2 * (51.42 cm / 2 * 3.142)

d= 33.49 cm

therefore, the diameter d is 33.49 cm

Answer:

720

Step-by-step explanation:

90x8=720

720/8=90

HOPE THIS HELPS BROSKI~

Answer:

Priya

Step-by-step explanation:

Mai= 5:3 Priya=7:5

Mai= 15:15 Priya=21:15

The ratios above are blue:yellow so Priya's shade has more of a blue tint because it is 21:15 and Mai's is 15:15 so it is evenly spread.

Add 7 to both sides.

Add −4 and 7 to get 3.

Multiply both sides by 3, the reciprocal of 1/3 . Since 1/3 is >0, the direction of inequality remains the same.

Multiply 3 and 3 to get 9.

Answer:

7

Step-by-step explanation:

4x+30=9x-5

35=5x

x=7

Answer:

hgkgbnnhm,

Step-by-step explanation:

Answer:

b-3

c-40

Step-by-step explanation:

Answer: 1/343

Step-by-step explanation:

To multiply fractions, combine the numerators and denominators and simplify as shown below.

1/7 x 1/7 x 1/7 can be rewritten as:

(1x1x1)/(7x7x7)

Simplifying the numerator and denominator in the new equation, the result is 1/343.

Thus, 1/7 x 1/7 x 1/7 = 1/343.

I hope this helps!

The total total payload capacity is 10,000 pounds, which means that the sum of all the weight inside the plane must add up at maximum 10,000. The co-pilot weighs 195 pounds, the food weighs 500 pounds, the mail weighs 100 pounds, the total weigh of the 10 passengers onboard is 2000 pounds, the total weigh of the luggage is 400 pounds, and adding your weight since you're the pilot, that's an extra 175 pounds. Adding all those values together and subtracting from the total payload, will give to us how much we can still add without exceding the weight capacity.

Solving this expression, we have

The plane can still carry an extra weight of 6,630 pounds.

Answer:

X is less than or equal to five.

Step-by-step explanation:

Add five on each side and divide by 2!

Answer:

1/5

U can do it by the cutting methord.

The value of sin A is, 7/25.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

The terminal side of angle A goes through the point (−24/25,7/25) on the unit circle.

Now, By definition we get;

⇒ cos A = - 24/25

⇒ Sin A = 7/25

Thus, The value of sin A is, 7/25.

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Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

Let's evaluate the possibilities.

First, an integer number is a whole number (not a fractional number) that can be positive, negative, or zero. So, -3, -2, ... 0, 3, 4..

-1 < a ≤ 2​, means:

As we can see, a can be 0, 1 or 2.

The symbol ≤ means that a is lesser or equal to 2, while the symbol < means that 1 is lesser than a, but a is not included.

So, the answer is: "a" = 0, 1 or 2. Which can also be represented in a set S = {0, 1, 2}.

Answer:

Step-by-step explanation:

olution: Let [math] n^2 +96 =x^2 [/math] where x and n are positive integers. Hence [math] 96= x^2 -n^2 =(x+n)(x-n) [/math]. Now [math] (x+n) + (x-n) =2x ...

Answer:

-9/47

Step-by-step explanation:

\(4 \frac{1}{4}x-\frac{1}{3}x=-\frac{3}{4} \\ \\ \frac{17}{4}x-\frac{1}{3}x=-\frac{3}{4} \\ \\ 51x-4x=-9 \\ \\ 47x=-9 \\ \\ x=-\frac{9}{47}\)

Answer:

Step-by-step explanation:

- 5/12

i did the test lol

Step-by-step explanation:

Hey there!

There are multiple ways of doing this. I will do it the way worksheets typically intend for you to complete it. I will provide you with the relationship names but they are kinda hard to explain but I am sure you will figure it out based on patterns.

a is 130 degrees due to the alternate exterior relationship.

b is 50 degrees due to vertical angles (it is vertical to an angle of 50 degrees).

c is 130 degrees due to vertical angles (it is vertical to angle a)

e is 130 degrees due to alternate interior angles (it is alternate interior to c)

f is 50 degrees due to alternate exterior angles

h is 50 degrees due to vertical angles (it is vertical to angle f)

Hope that helps :)

Answer:

6907 people on that program must be surveyed if we want mean weight loss as 0.25 lb and standard deviation as 10.6 lb.

Step-by-step explanation:

Given that mean of weight loss in 0.25 lb and standard deviation is 10.6 lb.

For 95% confident level z-score must be 1.96.

That is =1.96

Now required sample size is

Where SE means standard deviation=10.6 lb and mean m=0.25 lb

Hence sample size=

Which we always should round up that is 6907.

Answer:

First set of questions is

2.05 and 14.61

The second set is

D. If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Step-by-step explanation:

The zeroes of the quadratic function is x = 2.05 and x = 14.61

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

y = -6x² + 100x + 180   be equation (1)

where x = selling price of each soccer ball

y = daily profit from soccer balls

On factorizing the equation , we get

when y = 0

6x² - 100x - 180 = 0

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

x = [ 100 ± √ ( 100 )² - 4 ( 6 ) ( 180 ) ] / 12

x = [ 100 ± √ ( 10000 ) - 4320 ) ] / 12

x = [ 25 ± √355 ] / 3

So , the two values of x are x = 2.05 and x = 14.61

Hence , the zeroes of the function are 2.05 and x = 14.61

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The solution is the point (0, 1/6) y = 1/6

Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.

In this case, the equation is in slope-intercept form (y = mx + b),

where m represents the slope (-3/4) and b represents the y-intercept (1/6).

The slope-intercept form allows us to determine various properties of the equation.

Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.

Each pair of x and y values that satisfy the equation represents a solution.

For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:

y = (-3/4)(0) + 1/6

y = 1/6

Therefore, the solution is the point (0, 1/6).

In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.

Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.

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Answer:

Step-by-step explanation:

To solve the inequalities 2x - 15 < -0.8 and 2x - 15 > 0.8, we will solve them separately and then combine the solutions.

First, let's solve the inequality 2x - 15 < -0.8:

2x - 15 < -0.8

Add 15 to both sides:

2x < 14.2

Divide both sides by 2 (since the coefficient of x is 2 and it is positive, we don't need to flip the inequality symbol):

x < 7.1

Now, let's solve the inequality 2x - 15 > 0.8:

2x - 15 > 0.8

Add 15 to both sides:

2x > 15.8

Divide both sides by 2:

x > 7.9

So, the solutions to the inequalities are:

x < 7.1 and x > 7.9

To write these solutions in interval notation, we can express them as separate intervals and then combine them using the union symbol (∪):

Interval 1: (-∞, 7.1)

Interval 2: (7.9, +∞)

Combining these intervals, the solution in interval notation is:

(-∞, 7.1) ∪ (7.9, +∞)

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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the counting number just before C5F16 is 3,072.

Answer:

39 3/8 ft ^2

Step-by-step explanation:

To find the area of a rectangle, multiply the length times the width.

A = l*w

  = 7 1/2  * 5 1/4

Change the mixed numbers to improper fractions.

A = 15/2 * 21/4

    =315/8

Change back to a mixed number.

8 goes into 315 39 times with 3 left over.

 = 39 3/8

Answer:

(you can round to 39.4)

Step-by-step explanation:

Find the area of the rectangle shown

7 1/2 ft

5 1/4ft

7 1/2 = 7.5 ft

5 1/4 = 5.25 ft

Area = L x W

Area = 7.5 x 5.25

Area = 39.375

Answer:

243=3^5

100000=5^5*2^5

So answer is- 3^5/5^5*2^5

Step-by-step explanation:

Hope it helps!!!

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Answer:

3 hours

Step-by-step explanation:

You find the LCM between 20 and 15, which is 5. This means that Kim and Tom are both biking at 5 miles per hour, meaning that to determine how much time Tom takes, you would do 15/5, which is 3 hours.

Time taken by Tom to get office is 3 hour

Given information:

Distance of office from Kim house = 20 km

Distance of office from Tom house = 15 km

Kim take 1 hour more

Find;

Time taken by Tom to get office

Computation:

Assume;

Time taken by Tom = a hour

So,

Time taken by Kim = (a + 1) hour

\(Speed = \frac{Distance}{Time}\)

So,

\(\frac{20}{(a + 1)}=\frac{15}{a} \\\\20a = 15a + 15\\\\20a - 15a = 15\\\\5a = 15\\\\a = 3\)

So,

Time taken by Tom = 3 hour

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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20,000 ten thousand equals 2000 Hundred thousand.

As per the question statement, we are provided with a value: "20,000 ten thousand".

We are required to calculate how many hundred thousand are equal to 20,000 ten thousand.

To solve this question, let us first write down 20,000 ten thousand into the numerical format, i.e, \((20000*10,000)=200000000\).

As we know, a hundred thousand when written down in the numerical format becomes 100,000, let us assume that 20,000 ten thousand equals to "x" number of Hundred thousand.

Therefore, we can form a linear equation in one variable "x" based on the condition, in the above-mentioned statement, which goes as  \((100,000*x)=200000000\)

\(or, (100,000x)=200000000\\or,x=\frac{200000000}{100,000}\\or,x=\frac{2*10^{8} }{10^5\\}or,x=(2*10^3)\\or,x=2000\)

Hence, 20,000 ten thousands equals 2000 Hundred thousands.

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The probabilities, we need to understand the context. Assuming we are working with a fair six-sided die, where each face has an equal chance of landing, here are the probabilities:

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