Mike brought 4 basketballs for 62 dollars. What is the price per basketball.

if p/q=r/s then (p+q)/(r+s) is​ Ratio and proportion

(p+q)/(r+s)=q

Given,

p/q=r/s

ps=rq

p=rq/s

Putting these value of (p+q)/(r+s) is q

The ratio is used to compare two amounts of the same type. For two numbers, a and b, the ratio formula is written as a: b or a/b. The ratio and proportion concepts are based on fractions. Ratio and proportion are the fundamental building blocks for many other notions in mathematics. Ratio and proportion are useful in addressing many everyday difficulties, such as comparing heights, weights, distance, or time, or when combining ingredients in cookery, and so on.

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Answer:

40

Step-by-step explanation:

how many data? : 9

(9+1) x 1/4 = 2.5 (no 2.5: between 35 and 45)

(35+45)/2 = 40

Answer:

£168

Step-by-step explanation:

Let the total prize be 8x, then the two prizes will be 5x and 3x.

Then, difference between the prizes = 2x

=> 5x - 3x = £42

=> 2x = £42

=> x = £42/2

=> x = £21

As mentioned above, the total prize is 8x.

So, total prize = 8 × x = 8 × £21 = £168

Answer:

GCF = 6

The original sum rewrites to 6(2+3)

=================================================

Explanation:

Notice we have these factorizations

12 = 6*2

18 = 6*3

Which shows that 6 is the greatest common factor (GCF)

So,

12+18 = 6*2+6*3 = 6*(2+3)

We use the distributive property which is a(b+c) = ab + ac

I'll leave the 2+3 part un-simplified so that you can see the two original pieces, and how the 6 can multiply with them both to get back to 12+18 again.

The line that is perpendicular to the line passing through the points (-4, 2) and (4, -1) is y = (8/3)x + 1/2

From the question, we are to determine the equation of the line that is perpendicular to the line passing through the given points

First, we will determine the equation of the line passing through the given points

The given points are (-4, 2) and (4, -1)

Using the formula,

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

x₁ = -4

y₁ = 2

x₂ = 4

y₂ = -1

Thus,

(y - 2)/(x - -4) = (-1 - 2)/(4 - -4)

(y - 2)/(x + 4) = (-3)/(4 + 4)

(y - 2)/(x + 4) = (-3)/(8)

8(y -2) = -3(x + 4)

8y - 16 = -3x -12

8y = -3x -12 + 16

8y = -3x + 4

y = -(3/8)x + 1/2

Now,

NOTE: A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line

In the above equation,

The slope of the line is -3/8

∴ The slope of the line that is perpendicular to the line will be 8/3

Thus,

The equation of the line will be y = (8/3)x + 1/2

Hence, the line that is perpendicular to the line passing through the points (-4, 2) and (4, -1) is y = (8/3)x + 1/2

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Answer:

x = 32

Step-by-step explanation:

Since m||n and the angles formed are on the same transversal, the angles are corresponding angles i.e. their sum adds up to 180°

Using given data
2x - 16 + 4x + 4 = 180

==> 6x - 12 = 180

==> 6x = 180 + 12   (by adding 12 on both sides)

==> 6x = 192

x = 192/6

x = 32

Answer:

the bottom left graph is a function

Step-by-step explanation:

for questions like this pertaining a graph, you can use the vertical line test. essentially for a function, an x value cannot have multiple y values. so, the function cannot have any two or more points that lie on the same vertical line.

the top left graph is literally a vertical line, so that doesn't work

the top right is a circle. draw a vertical line and you see it always intersects two points

the bottom right graph draw a vertical line. two points again, right?

only the bottom left works with the vertical line test.

Answer:

g(x) = x² + 8x

x + 4

if x = -6 (replace x with -6 )

Using the formula above

g(-6) = -6² + 8(-6)

-6 + 4

= 36 - 48

-2

= -12

-2

(minus cancels each other)

Answer = 6

Remember you can always use a calculator to check (I'm using also)

Hope this helps xoxo :⁠-⁠)

Answer:

40

Step-by-step explanation:

Answer:

the answer is v = -32

Step-by-step explanation:

where

v/4 - 2 = -10

v/4 = -10 + 2

v/4 = -8

v = -8 × 4

v = -32

hope this helps

Answer: The answer for this question is v = -32

Step-by-step explanation: just do math.

The missing term of the second pair, such that both pairs are analogous is WKPA.

For the first two terms, S is 1 letter before Q,

For the first two terms, S is 1 letter before Q,F is 1 letter before D,

For the first two terms, S is 1 letter before Q,F is 1 letter before D,Y is next to X,

For the first two terms, S is 1 letter before Q,F is 1 letter before D,Y is next to X,N is next to FM.

For the first two terms S is 1 letter before Q,F is 1 letter before D,Y is next to X ,N is next M.Similarly, UIOZ : WKPA. Where W is 1 letter before U,K is 1 letter before I, O is next to P,Z is next A.

Therefore, the correct option is D.

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Refer to the terms given below. There is a pattern that defines the relationship between the first two terms. Determine this relationship and then identify the missing term of the second pair, such that both the pairs are analogous. QDXM : SFYN :: UIOZ : 1) PAQM 2) LPWA 3) QNLA 4) WKPA

The points that fulfill all inequalities are shaded on the graph given at the end of the answer.

The points that respect the inequality must respect these three conditions:

These three lines are plotted on the graph given at the end of the answer, and the shaded region in blue is the solution to the inequality, that is, it contains the set of points that respects all three conditions.

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Answer: -38

Step-by-step explanation:

lim x→−8 (4x − 6)=

4(-8) − 6=

-32-6=

-(32+6)=-38

Answer:

138

Step-by-step explanation:

51+39+48 because its total

Answer:

d

Step-by-step explanation:

This is point-slope form, and these coordinates make both sides equal to 0.

Answer:
Velocities

t = 1 :      11 m/s

t = 2 :      27m/s

t = 3:       56.33  m/s

t = a:       6a + 1 + 4/a  m/s

Step-by-step explanation:

s(t) = 6t³ + 1t + 4 where s = displacement in meters and t is time in seconds

s(t)  = v(t). t where v is the velocity in m/s and t is time in seconds
So v = s/t

At time t = 1
s(1) = 6 x 1³ + 1 x 1 + 4  = 6 + 1 + 4 = 11 meters
v(1) = 11/1 = 11 m/s

At time t = 2
s(2) = 6 x 2³ + 1 x 2 + 4 = 6 x 8 + 2 + 4 = 48+ 2 + 4 = 54 m
v(2) = 54 /2 = 27m/s

At time t = 3
s(3) = 6 x 3³ + 1 x 3 + 5 = 6 x 27 + 3 + 4 = 169 m
v(3) = 169/3 = 56.33  m/s

At time t = a
s(a) = 6a³ + 1a + 4 = 6a³ + a + 4
v(a) = s(a)/a = (6a³ + a + 4)/a = 6a + 1 + 4/a m/s

Answer:

You need 7 strawberries to make 1 cup of smoothy

so that means 21 strawberries for 3

and 10 smoothies need 70 strawberries

Answer:

RS= 45

Step-by-step explanation:

According to the rules of the triangle...

RS = RQ

To an algebraic expression, the product of 2.5 and t is 2.5*t=2.5t.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).

Terms comprise expressions.

As said, "The word product" refers to the result of a multiplication.

To find out which two integers are multiplied together, look for the term "AND." The result of adding 2 and 3 is 6

The two numbers being multiplied in this example are 2.5 and an unidentified number, only called t.

The formula is 2.5*t

= 2.5t.

We are at our limit at this point. Since the solution has not been provided, we are unable to write an equation.

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The value of GH is 93.

Given,

Point G is the midpoint of segment FH.

GH= 16x-19 and FG=12x+9.

We need to find GH.

If there is a midpoint between two points the midpoint divided the line between two points into two equal lengths.

Example:

A ________B__________C

AB = BC

We have,

F_______G_______H

G is the midpoint.

GH= 16x-19

FG=12x+9.

FG = GH

16x-19 = 12x+9

16x - 12x = 9 + 19

4x = 28

x = 7

Now,

GH = 16x - 19

      = 16 x 7 - 19

      = 112 - 19

     = 93

Thus the value of GH is 93.

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Answer:

The answer is 7.

-1-(-8)

Subtracting a negative number from a negative number (-) a minus sign followed by a negative sign, turns the two signs into a plus sign.

^ I forgot what I was trying to prove.

The additive inverse of the given mathematical operation 3+(-5) is 2.

So, 3+(-5):

Then, add 2 as follows:

Therefore, the additive inverse of the given mathematical operation is 2.

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The cake sharing process of the process using geometric progression gives the following values;

1. The amount of the cake left after the first division is one quarter of the cake

The amount of cake remaining after the fourth division is 1/256 of the original cake

2. The series is; (1/4 + 1/16 + 1/64+ 1/256 + 1/1024) of the original cake

3. 341/1024 of the original cake

4. If the process continues indefinitely each person gets (1/3) of the original cake

A geometric progression is a sequence of numbers such that a term is found from the previous term by multiplying the previous term by a constant number.

1. Taking the dimensions of the cake as a square, let x represent the side length of the cake, we have;

Amount of cake left after the first division = x/4

Amount left after the second sharing = x/(4×4) = x/16

Amount left after the third division = x/(4×4) = x/(16×4) = x/64

Amount left after the fourth division = x/(64×4) = x/256

2. After the fourth division, each person receives x/(256×4) = x/1024

The series that represents the amount each person receives after the fourth division is therefore;

3. The amount of the original cake each person gets after the fourth division is therefore;

4. The amount each person receives is given by the sum of a geometric series up to infinity, where;

The first term, a = 1/4

The common ratio, r = 1/4

S = (1/4)/(1 - (1/4)) = (1/4)/(3/4) = (1/4)×(4/3) = 1/3

The amount of the original cake each gets if the process continues indefinitely is (1/3) of the original cake.

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Final answer : Shareholders' personal property cannot be taken to settle the company

Definition : A company is treated as a person with the legal capacity to enter into a contractual obligation, own properties, sue or be sued. A company uses a common seal as its signature and any documents bearing company seal are legally enforceable.

Given Data:

A private corporation owned by 35 shareholders is worth $1.7 million.

The corporation loses a lawsuit worth $3 million.

To find :

What is the value of any personal property of the shareholders that can be taken to pay the settlement?

Solution:

shareholders' liability is limited.

A shareholder cannot lose more than the value of stock owned in a company.

Shareholders' personal property cannot be taken to settle the company obligation because a company is a different entity from its shareholders.

Main Answer : Shareholders' personal property cannot be taken to settle the company

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Step By Step: Okay, so we have that. The Rectangular four of the classroom is 36 x 32 ft. And we have a skilled drawing where the length is nine, and I'm guessing who you want to know or with to find the area. So we'll equate this to 36 ft Over 32 ft. So first we'll cross multiply nine and 32 and divide by 36 to find X or with. So thus we have nine times eight inches Equalling 72" squared. And so that's the area of the floor and the scale drawing.

The price of the DJI Mavic Air2 drones after the chain discount is applied will be $18,095.94.

An assortment of trade discount rates or their sum is referred to as a chain discount.

DJI produced the Mavic Air 2 quadcopter and gave its top clients a 10/8/7 chain discount. The company's main client, Drone Nerds, bought 15 Mavic Air2 drones for a total of $23,500 list price.

Then the price of the DJI Mavic Air2 drones after the chain discount is applied will be

⇒ $23,500 x 0.90 x 0.92 x 0.93

⇒ $18,095.94

The price of the DJI Mavic Air2 drones after the chain discount is applied will be $18,095.94.

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