Given the end points of A(-8,-2) and B(6,19). The segment AB is divided into the ratio atAR:RB in a 2:5 ratio. Find the coordinates of point R.R=

Could be the two

For example for less than we will obtain -12+8x<-44

For the greater than -12+8x>-44

1100 children and 1900 adults attended the local zoo on that day.

A system of equations or an equation system is a finite set of equations for which common solutions are sought.

Given:

A local zoo's admission fee is $1.50 for children and $4.00 for adults.

On a certain day, 3000 people enter the zoo and $9250.00 is collected.

We have to determine how many children and how many adults attended?

Solution:

Let number of children enter the zoo = x

Then number of adults enter the zoo = 3000-x

Total collection =  $9250

Collection from children + Collection from adults = 9250

1.50 × x + 4(3000-x) = 9250

1.5x + 12000 – 4x = 9250

1.5x - 4x  = 9250 - 12000

-2.5x = -2750

2.5x = 2750

X =2750/2.5

X = 1100

Number of children enter the zoo = x = 1100

Number of adults enter the zoo = 3000 - x = 3000 - 1100 = 1900

Therefore 1100 children and 1900 adults attended the local zoo on that day.

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Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]

Answer: 12,500

Formula for centrifugal force = [tex]\frac{k r m}{t^{2} }[/tex]

In the first case,

The mass of an object moving in a circle as 'm1' and radius as 'r1', 'k' as constant, and time as 't1'. 'f1' is centrifugal force.

centrifugal force is f1 = [tex]\frac{kr1m1}{t1^{2} }[/tex]

In the second case,

The mass of an object moving in a circle as 'm2' and radius as 'r2', 'k' as constant, and time as 't2'.  'f2' is centrifugal force.

m1 = 6 gram , r1 = 75 cm , t1 = 3 sec, f1 = 5000 dynes

as per equation, 5000 = [tex]\frac{ k * 75 * 6}{3^{2} }[/tex]   , after calculation the value of k = 100

in the second case use the same equation and find centrifugal force (f2)

f2 = [tex]\frac{k * r2 * m2}{t2^{2} }[/tex] ,m2 = 20 gram , r1 = 155cm , t1 = 5 sec, k= 100

f2 = [tex]\frac{100 * 155 * 20}{5^{2} }[/tex] after calculation f2 = 12,400.

so, the final centrifugal force is 12,400 dynes.

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Applying the Pythagoras Theorem, the length of RS = 8 units.

According to the figure,

Diameter = 16 +4 = 20 units

So, the Radius = Diameter/2 = 20/2 = 10 units

Now,

Let the center be M, then

MT = 10 - 4 = 6 units

RT = x units

The radius is perpendicular to the chord,

So, MTR will be a right-angled triangle,

We will apply the Pythagoras theorem,

So, we have :

[tex]RT^{2} +TM^{2} =RM^{2}[/tex]

Here, RT = x units

TM = 6 units and RM = radius = 10 units

Putting these values in the Pythagoras theorem,

[tex]x^{2} +6^{2} =10^{2}\\x^{2} + 36 = 100 \\x^{2} = 100 - 36 = 64\\x^{2} = 64 \\x = 8[/tex]

Thus, the length of RS = 8 units.

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Given,

The initial balance in the checkbook is $463.18.

The deposite money is $265.

The amount of check is $198.73.

The charge paid for bank is $2.50.

The ending balance at the month end is,

Hence, option b ($526.95) is correct.

Answer:

no solution

Step-by-step explanation:

y = 2x + 6 → (1)

y = 2x - 1 → (2)

substitute y = 2x + 6 into (2)

2x + 6 = 2x - 1 ( subtract 6 from both sides )

2x = 2x - 7 ( subtract 2x from both sides )

0 = - 7 ← not possible

This indicates the system of equations has no solution

3/4 cups of water would need for only one cup of Pancake mix.

From the question, we have

1-1/2 cups water would he need for every 2 cups of pancake mix.

3/2 cups water would he need for every 2 cups of pancake mix.

Required cups water for only one cup of Pancake mix = 3/(2*2)

=3/4

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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Answer:

3/4 cups of water would need for only one cup of Pancake mix.

From the question, we have

1-1/2 cups water would he need for every 2 cups of pancake mix.

3/2 cups water would he need for every 2 cups of pancake mix.

Required cups water for only one cup of Pancake mix = 3/(2*2)

=3/4

Step-by-step explanation:

Answer:

[tex]y=-\frac{5}{4}x+6[/tex]

Step-by-step explanation:

[tex]m=\frac{-4-1}{8-4}=-\frac{5}{4} \\ \\ y-1=-\frac{5}{4}(x-4) \\ \\ y-1=-\frac{5}{4}x+5 \\ \\ y=-\frac{5}{4}x+6[/tex]

Answer:

y=-1.25x+6

Step-by-step explanation:

use slope formula to find slope

y2-y1/x2-x1

-4-1/8-4

-5/4

-1.25

y=-1.25x is the equation we can make with this slope and fill in the equation with one of the coordinates to find y intercept

1=-1.25(4)

1=-5

We need to add 6 for this to be true so y intercept is 6

The equation is

y=-1.25x+6

Hopes this helps please mark brainliest

a.

Function:

Factoring -3, we have:

Middle term facotizing the term inside parenthesis:

This is the factored form.

b.

h(t) is the height.

When it lands on the ground, the height (h(t)) is 0, so we have:

If we solve this equation for t, we get the line drone lands on the ground.

Let's do this:

Time can't be negative, so the solution is t = 8 seconds.

Answer:

h(t) = -3(t-8)(t+4) and 8 minutes

Step-by-step explanation:

Enjoy ur answer have a great day please mark as brainliest :D !!!

Answer:

A

Step-by-step explanation:

a^2 + b^2 = c^2

2^2 + x^2 = 4^2

4 + x^2 = 16

x^2 = 12

x = √12

The solution of the inequality is d≥ 4. The graph is attached with the answer below.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The solution to inequality is,

d/2 ≥ 2

d ≥ 2 x 2

d ≥ 4

The graph states that all the values of "d" are greater than or equal to 4.

Therefore, the solution to the inequality is d≥ 4. The graph is attached with the answer below.

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The cost of 1 pound of orange will be $1.5. The total payment was $15. The total weight of orange was 10 pounds.

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. A single or distinct unit is referred to by the word unitary. Therefore, the goal of this method is to establish values in relation to a single unit. The unitary method, for instance, can be used to calculate how many kilometers a car will travel on one litre of gas if it travels 44 km on two litres of fuel. The unitary method involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.

Here,

cost of 2 pound of orange=$3

cost of 5 pound of orange=$7.50

cost of 3 pound of orange=$4.50

Therefore,

The cost of 1 pound of orange is $1.5

The total payment made=$7.50+$4.50+$3

=$15

The total weight of oranges=2+3+5

=10 pounds

One pound of oranges will cost $1.5. $15 was paid in total. Orange weighed ten pounds in total.

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7)

The given function is

Recall that the degree of the polynomial is the highest power of the variable.

The degree of the given polynomial function is 3.

we know that a cubic function is a polynomial function with degree 3.

Hence the given function is a cubic function.

Option D is correct.

Answer:

Your answer is A now.

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

To find the slope of a line, we use the formula [tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]

{x(2),y(2)} coordinates of second points in line

{x(1),y(1)} coordinates of first points in line

So to solve, you take any set of your coordinates given and you chose one to be your second set and your first set. Then you take the y from your 1st set, and you subtract it from the y from your 2nd set. Then you take that and you put it over from what you get when you take the x from the 1st set, and you subtract that from the x in your 2nd set.

So when I solve using this the coordinates given, I get -12-8/17-7

This equals to -20/10, and that equals to -2.
So you find the slope of the line as -2

Answer:

A. Subtract the distance between each point and the x-axis.

Step-by-step explanation:

The points shown are horizontally distanced. Because of this, you need to subtract their x values. In coordinate planes, the variable "x" represents how far a point is or is not from the origin. Given this information, you need to subtract the x values to get the distance they are apart. Note: Distance on a number line or graph is always given in absolute value. Absolute value is the term for when a number is converted to its positive form. For instance, |-1| has these brackets around it representing absolute value. Whenever a number in absolute value is a negative number or is greater than 0, it will become its positive form. |-1| = 1

Hope this helps!

Option A is correct, By subtracting the distance between each point and the x axis we  find the distance between the points shown

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

The given two points in the given graph are A(-8, -4) and B(2,-4)

Now let us plug in these points in the formula.

x₂= 2, x₁ = -8, y₂=-4, y₁=-4

Distance=√(x₂-x₁)²+(y₂-y₁)²

=√(2+8)²+(-4+4)²

=√(10)²

=10 units.

By subtracting the distance between each point and the x axis we can find the distance.

Hence, Option A is correct, By subtracting the distance between each point and the x axis we  find the distance between the points shown

​

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Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

If we have the triangle ABC and we want to obtain the triangle DEF, we need to multiply every side of the triangle ABC by 3 as:

5 * 3 = 15

4 * 3 = 12

3 * 3 = 9

So, the scale factor of triangle ABC to triangle DEF is 3

Answer: 3

The rate increases by a factor of 9 when the concentration is tripled.

It is given to us that the rate law is -

[tex]R=k(NO_{2} )^{2}[/tex] ----- (1)

We have to find out the change in the rate if the concentration is tripled.

When the concentration is tripled, we can rewrite the equation (1) as -

[tex]R_{new} =k(3*NO_{2} )^{2}\\= > R_{new} =9*k(NO_{2} )^{2}\\= > R_{new} =9R[/tex][From equation (1)]

Thus, we see that the rate increases by a factor of 9 when the concentration is tripled.

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8 songs

number of songs = 32

time = 4minutes

let the number of song per minute = y

32 songs = 4 minute

y = 1 minute

Cross multiply:

32(1) = 4(y)

32 = 4y

32/4 = 4y/4

y = 8

This means the number of songs that can be downloaded per minute is 8yna

The inequality that represents the situation is [5x + 9y ≤ 35] where x and y are the number of t-shirts and shorts purchased.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.

The majority of the time, size comparisons between two numbers on the number line are made.

So, we know that:

The T-shirts cost $5.

The shorts cost $9.

The total budget is $35.

Then, the inequality can be:

5x + 9y ≤ 35

Where x and y are the number of t-shirts and shorts purchased.

5(3) + 9(2) ≤ 35

15 + 18 ≤ 35

33 < 35

Therefore, the inequality that represents the situation is [5x + 9y ≤ 35] where x and y are the number of t-shirts and shorts purchased.

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Correct question:
On a clearance rack, t-shirts cost $5 and shorts cost $9. You have $35 to spend. Write a correct inequality that models the possible combinations of t-shirts, t, and shorts, s, you can buy.

a=2

Explanation

Step 1

subtract 10 in both sides

Step 2

divide each side by 4

The number of large glasses that will be filled is 10 glasses.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator, as well as the denominator, are both integers.

Given that the large glass holds 5/6 cup of water and you have 8 cups of water. The number of glasses filled will be:

= 8 ÷ 5/6

= 8 × 6/5

= 48/5

= 9.6

= 10 glasses approximately

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Answer

Explanation

Probability of an event is calculated as the number of elements in an event divided by the total number of elements in the sample space.

P(quarter)

Number of quarters = 4

Total number of coins in the jar = 6 + 14 + 16 + 4 =

EXPLANATION

Let's see the facts:

Ipad pen cost = -$105

Best friend ----> +$12

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

-$93

Babysitting Saves +$20/week

We are still needing $93 dollars to buy the pen, so, if she earns $20 peer week, then she should work:

$93 = 20 $/week * number of weeks

Calling x to the number of weeks and turning this into an inequality:

12 + 20x ≥ 105

Subtracting -12 to both sides:

20x ≥ 105-12

Simplifying:

20x ≥ 93

Dividing both sides by 20:

x ≥ 93/20

Simplifying:

x ≥ 4.65

Answer: Amelia should at least work 5 weeks in order to save the money to buy the Ipad pen.

The day the two bags will have the same weight is the 24th day.

The linear equation that can be used to determine the pound of dog food left is:

Amount of dog food left = capacity of the bag - (number of days x amount the dog eats per day)

Amount of dog food left = 34 - (1 x p)

Amount of dog food left = 34 - 1p

The linear equation that can be used to determine the pound of cat food left is:

Amount of cat food left = capacity of the bag - (number of days x amount the cat eats per day)

Amount of cat food left = 16 - (1/4 x p)

Amount of cat food left = 16 - 1/4p

On the day the two bags will have the same weight, the two above equations would be equal:

16 - 1/4p = 34 - 1p

p - 1/4p = 34 - 16

3/4p = 18

p = (18 x 4) / 3

p = 24 days

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Answer:

attached at point A; forms a right angle; attached at point B; forms a right angle; same; yes

Step-by-step explanation:

Answer:

Step-by-step explanation: you can rewrite 2/3 plus 1/6 as: 2 3 + 1 6 To add fractions you need to have a common denominator (the bottom half of the fraction). In this case 6 is a common denominator.