What are the coordinates of point P when it is 2/3 of the way along the line from A to B.
Given A(-3,-4) and B(3,5)

Answer:

45.10

Step-by-step explanation:

The "quotient" is the answer or result of a division problem.  Look up "significant digits" if you want to know why I have the answer to two decimal places.

Answer:

You would travel 331.80 miles

Step-by-step explanation:

79 × 4.2 = 331.8 rounded to the nearest hundredth is 331.8

if he had 500.00ghs that has left, he has withdrawn 3,000.00ghs from his bank.

The total amount that Mr. John withdrew from the bank is 1, which is the same as 100%, in other words, the fraction of the amount remaining is 1 minus 1/2 given to his son and 1/3 that was given to his daughter:

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Full question: Mr. John withdrew some of money from the bank .He gave 1/2 to his son and 1/3 to his daughters1)if he had 500.00ghs that has left, how much did he take from his bank

After diving these two polynomials  g(x) = 12x³ - 18x² +24x

by j(x) = 3x which is g(x)/j(x) simplifies to  4x² - 6x + 8.

An expression is a combination of numbers, variables and their operation that equates to something that is equal but in different form.

According to the given question  f(x) = -3x + 2, g(x) = 12x³ - 18x² +24x,

h(x) = -2x² +9 and  j(x) = 3x.

Asked that we have to find g(x)/j(x) which is [tex]\frac{12x^3 - 18x^2 +24x}{3x}[/tex].

now we can break this division into chunks because there is only one term in the denominator.

So, (12x³/3x) -(18x²/3x) + (24x/3x)

= 4x² - 6x + 8.

∴ g(x)/j(x) =  4x² - 6x + 8.

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Jeo need to pay $0.4 million to buy Thea’s share.

Given,

Ratio of investment of Joe, Thea, Taylor in the partnership = 1:2:3

Worth of partnership after some years = $1.2 million

Now, we can calculate the share of partners:

Total of investment = 1 + 2 + 3 = 6

1.2 / 6 = 0.2 million, this is the investment.

Now share of partners:

Joe’s share = 0.2 x 1 = $0.2 million

Thea’s share = 0.2 x 2 = $0.4 million

Taylor’s share = 0.2 x 3 = $0.6 million

From the above data’s we can conclude that Joe needs $0.4 million to buy Thea’s share.

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The number of different purchases you could make is 11440

The given parameters are:

Number of chocolate, n = 16

Kinds of chocolate, r = 9

The number of different purchases you could make is calculated using the following combination equation

Purchases = C(n, r)

So, we have

Purchases = C(16, 9)

Apply the combination formula

Purchases = 16!/(9! * 7!)

Evaluate the expression

Purchases = 11440

Hence, the number of different purchases you could make is 11440

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Answer:

81°

Step-by-step explanation:

m∠1 + m∠2 + m∠3 = 180° because they add to form a straight angle.

Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.

As discussed , the numbers that follow each other in an order are called consecutive numbers or consecutive integers. These integers go from smallest to the highest, i.e. in ascending order. Some of the examples are:

From the above examples, we can see, the integers follow each other in a sequence. The difference between preceding and succeeding integers is always equal to 1.

So, given question, we can write:

For a consecutive integers, the number either increases by 1 or decreases.

First we take option 1:

12,22,32

Find out difference,

22-12=10       ,        32-22=10

The difference is '10'

Hence it is not consecutive integer.

We take option 2:

100,99,98

Find out difference,

100-99=1        ,          99-98=1

The difference is '1'

Hence it is consecutive integer.

We take option 3:

-11,-10,-9

Find out difference,

=-10-(-11)      ,       =-9-(-10)

=11-10=1       ,       =-9+10=1        

The difference is '1'

Hence it is consecutive integer.

We take option 4:

10,11,12

Find out difference,

11-10=1        ,          12-11=1

The difference is '1'

Hence it is consecutive integer.

So, 12,22,32 is not contain consecutive integer, because the difference is '10'. For a consecutive integers, the number either increases by 1 or decreases.

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Answer:

Step-by-step explanation:

Bro u just subtract...:)

547.25(day 1) - 327.875(day2) = 219.375 miles as the difference(just use a calculator)

Answer:

4/5

Step-by-step explanation:

In order to turn a decimal, in this case 0.8, you'll need to look at the placement of the decimal first. The placement of the decimal here is in the tenths. Thus meaning we will use 10 as the denominator. For the numerator you will use 8. Now we have 8/10. To simplify 8/10 you will divide 8/10 by 2. 8 divided by 2 is 4 (now the numerator). and 10 divided by 2 is 5 (now the denominator). 0.8 would be 8/10 as a fraction and the simplified version of 8/10 is 4/5.

The 3 common multiples of 31, 18, and 20 are 5580, 11160 and 16740.

Here, we have three numbers- 31, 18, and 20

To find 3 common multiples of these numbers, we first find the least common multiple or LCM of these 3 numbers.

31 is a prime number, hence it can be written as- 31 × 1

18 can be written as- 3 × 3 × 2

20 can be written as- 5 × 2 × 2

Thus, the LCM of 31, 18 and 20 will be-

3 × 3 × 5 × 2 × 2× 31 × 1

= 5580

Thus, we found the least common multiple of 31, 18 and 20.

Now, the other 2 multiples will be multiples of the LCM itself.

The other two numbers can be-

5580 × 2 = 11,160

5580 × 3 = 16,740

Thus, the 3 common multiples of 31, 18, and 20 are 5580, 11160 and 16740.

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Answer:

a. [tex]f(x) = 3 + 0.2x[/tex]

b. 6$

c. 35 miles

Step-by-step explanation:

There is a fixed price of $3 per ride, therefore, the y-intercept of the function would be $3, as she has to pay that amount for any amount of miles ridden in the cab.

In addition, she must add an extra $0.2 for every mile she has ridden in the cab. We can represent the amount of miles using the parameter [tex]x[/tex].

Therefore, the function to represent the cost of a cab-ride would be [tex]f(x) = 3 + 0.2x[/tex].

b. To find out how much she must pay for a 15-mile trip, we must substitute [tex]x = 15[/tex], as she has ridden 15 miles in the cab.

[tex]f(x = 15) = 3 + 0.2 \times 15 \to 3 + 3 \to 6[/tex]

She must pay $6 for the ride.

c. To find out how far she can travel if she only has $10, we would have to equalize the function to 10, as that is the final price she has to pay.

[tex]f(x) = 10\\\to 3 + 0.2x = 10\\\to 0.2x = 7\\\to x = 35[/tex]

For $10, she can travel 35 miles.

Answer: For $10, she can travel 35 miles.

Step-by-step explanation:

Answer: 7/8

Step-by-step explanation:

[tex]\displaystyle\\3\frac{1}{2} :4=\\\\\frac{3*2+1}{2}:4=\\\\\frac{6+1}{2}:4=\\\\ \frac{7}{2}*\frac{1}{4} =\\\\\frac{7*1}{2*4} =\\\\\frac{7}{8}[/tex]

Answer:

1.Pentagon

2.Rhombus

3.Hexagon

Answer:

A. 54 - n.

Step-by-step explanation:

In math, the word, "difference" means to subtract, because it is the result of subtracting.

Nine friends can arrange themselves on the nine rows of movie theatre in 362,880 ways.

For the given question;

The total number of friends went to watch movie = 9.

The initial number of seats in movie theatre = 10

The seats left after the removal of one seat = 9

Thus, the nine friends can arrange on the 9 seats in 9! ways.

9! = 9×8×7×6×5×4×3×2

9! = 362,880

Therefore, the possible arrangement of 9 friends on remaining seats is 362,880.

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Answer:

[tex]2x[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the given number.

"Multiply the number by 4" [tex]\to 4x[/tex]

"Add 6 to the product" [tex]\to 4x + 6[/tex]

"Divide this sum by 2" [tex]\to \frac{4x + 6}2 \to 2x + 3[/tex]

"Subtract 3 from the quotient" [tex]\to 2x + 3 - 3 \to 2x[/tex]

The  triangle LMN is an isosceles and right-angled triangle.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Given:

In a given triangle is LMN

According to given question we have

An isosceles triangle is a triangle with two congruent sides and one unique side and angle.

An equilateral triangle is a triangle with three congruent sides and three congruent angles.

A scalene triangle is a triangle with no congruent sides and no congruent angles.

A right triangle is a triangle that has one right angle.

The triangle is right-angled because the line segment LM is perpendicular to the MN.

Therefore, the  triangle LMN is an isosceles and right-angled triangle.

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Answer: 1, 4 and 5

Step-by-step explanation:

LM ⊥ MN

The triangle is isosceles

The triangle is a right triangle

Solution :

98 minutes will it take him to decorate 56 cupcakes

Time and Work – Introduction and Concept

Time and work deal with the time taken by an individual or a group of individuals to complete a piece of work and the efficiency of the work done by each of them.

Work Done = Time Taken × Rate of Work

Rate of Work = 1 / Time Taken

Time Taken = 1 / Rate of Work

If a piece of work is done in x number of days, then the work done in one day = 1/x

Total Work Done = Number of Days × Efficiency

Efficiency and Time are inversely proportional to each other

X:y is the ratio of the number of men who are required to complete a piece of work, then the ratio of the time taken by them to complete the work will be y:x

Adrian decorated 16 cupcakes = 28 minutes

adrian decorated 1 cupcakes = 28 minutes /16

Adrian decorated 56 cupcakes = 28 minutes /16 x56

= (28/16)x56

[tex]=\frac{28}{16} .56\\\\[/tex]

= 14/8. 56

=7/4.56

=7x14

= 98

98 minutes will it take him to decorate 56 cupcakes

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Answer:

Step-by-step explanation:

The inequality to compare the balances in the accounts x <-26

Based on the given parameters in the question, the balances are given as

Bank Account Balance 1 = -$26

Bank Account Balance 2 is less than Bank Account Balance 1

This above balances can be represented as be expressed as

Bank Account Balance 2 is less than Bank Account Balance 1

So, we have

x is less than Bank Account Balance 1

In this case, the variable x represents balance 2

Express less than inequality using less than inequality symbol <

So, we have the following inequality expression

x < balance 2

Substitute -26 for balance 2

x < -26

Hence, the inequality to compare the balances in the accounts x <-26

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The revenue equation of the item is r = 3.56q

The given parameters are:

Expense equation, E = 3.2q + 56000

Selling price = 3.56 per item

This means that the selling price equation is

S = Selling price per item * Number of items

So, we have

S = 3.56 * q

This gives

S = 3.56q

The total selling price of the item is the same as the revenue equation

So, we have

r = 3.56q

Note that the revenue equation is also a linear equation

Where linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

Hence, the revenue equation of the item is r = 3.56q

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The ratio of 8:3 is 2. 67

Ratio can be defined as the mathematical comparison of two or more numbers indicating their sizes in relation to each other.

It also explains how many times a number of element contains another.

It is mathematical represented with the symbol ' : '

From the information given, we have to determine the ratio of 8 and 3

We need to take the quotient or division of the two values.

With this, we have the representation as;

= 8/3

Find the quotient

= 2. 67

Thus, the ratio of 8:3 is 2. 67

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Answer:

3

Step-by-step explanation:

You are asked to find the slope of the function.
You can find the slope using the formula [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex].

For simplicity, I'll take the points (0, 0) and (1, 3) and substitute their coordinates into the formula.

[tex]m = \frac{3 - 0}{1 - 0} \to \frac31 \to 3[/tex]

Therefore, [tex]y = 3x[/tex]

Answer:

Paragraph

So, to start off this equation, you start with your mixed number, -10 1/5. Convert both mixed numbers to improper fractions, then multiply their numerators and denominators separately. Next, you must simplify. You simplify by converting improper fraction to mixed number. Then, you find the answer.

Hope this helps!

The division statement 1/4 ÷ 7/16 can be seen in a real-life situation when a ratio of boys in two different classes  is being ascertained to help use the ratio of said classes to derive the distribution of textbooks

This is further explained below.

Generally, The process of combining numbers to create new numbers is referred to as division, and it is one of the four fundamental operations of mathematics.

In conclusion,  the remark on the division In real life, the ratio 1/4 to 7/16 may be observed while determining the number of male students in two distinct classrooms in order to determine how many textbooks should be assigned to each of those classes based on the number of male students in each class.

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The position of the periscope on the number line will lie at negative 10 for below sea level and at 18 for above sea level.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that a submarine's periscope rises around 18 feet above sea level when fully deployed. The peak of the periscope is 10 feet below sea level when it is fully extended.

The periscope will be at negative 10 for levels below sea level and at 18 for levels above sea level on the number line. The image of the number line is attached with the answer below.

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The year in which the approximate number of oil barrels imported from Country B per day would be 4.05 million is 2,015.

A linear equation can be defined as an algebraic equation of the first order that has two (2) variables (x, y) with each of its term having an exponent of one (1).

In Mathematics, the standard form of a linear equation is given by the following:

y = mx + c

Next, we would solve the given linear equation for x:

y = 0.064x + 1.49

Subtracting 1.49 from both sides, we have:

4.05 - 1.49 = 0.064x + 1.49 - 1.49

4.05 - 1.49 = 0.064x

2.56 = 0.064x

x = 2.56/0.064

x = 40.

The year in which the approximate number of oil barrels imported from Country B per day would be 4.05 million is given by:

y = 1975 + x

y = 1975 + 40

y = 2,015.

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The width and length of the rectangle are 11 and 13 cm respectively

The perimeter of a shape is the sum of the side lengths of the shape

For all regular quadrilaterals, you add up the side lengths to determine the perimeter

The given parameters about the rectangle are

Perimeter = 37 + Width

Length = Width + 2 i.e. consecutive odd integers, and width is smaller

Rewrite the above equations as

p = 37 + w

l = w + 2

The perimeter of a rectangle is

p = 2 x (l + w)

Substitute p = 37 + w in the above equation

So, we have

2 x (l + w)= 37 + w

Substitute l = w+ 2 in the above equation

So, we have

2 x (w + 2 + w)= 37 + w

Evaluate the like terms in the above equation

So, we have

2 x (2w + 2)= 37 + w

Open the bracket in the above equation

So, we have

4w + 4= 37 + w

Evaluate the like terms in the above equation

So, we have

3w = 33

Divide both sides of the above equation by 3

So, we have

w = 11

Recall that

l = w + 2

So, we have

l = 11 + 2

Evaluate

l = 13

Hence, the width and length of the rectangle are 11 and 13 cm respectively

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Answer: 24 blue cars

Step-by-step explanation:

Red   |   Blue

5        :        3

x8                  x8

40      :         ?

40        :          24