F(n) = 900 - 60(n-1) represent the amount oscar still need to repay on a loan at the beginning of month n .Find the amount oscar pays monthly and the month in which he will make his last payment.

Answer:

Distance traveled by Sierra in h hours at a rate of 2x miles per hour = 2xh

Explanation:

Distance traveled by a body = Velocity of the body * Time taken by the body

Here velocity of Sierra =  2x miles per hour

Time taken by Sierra = h hours.

Distance traveled by Sierra = 2x * h = 2xh

So distance traveled by Sierra in h hours at a rate of 2x miles per hour = 2xh

The selling price of the jacket, after the store increases its purchasing price by 80%, is $36.

The subject of this question is mathematics, specifically a practical application of percentages. The store buys the jacket for $20 and then increases the sale price by 80% for its customers. First, to calculate the 80% of the cost price, you multiply 20 (the cost price) by 0.80 (the percentage increase represented as a decimal). This results in $16. The selling price is then calculated by adding this calculated value to the original cost price which gives us $20 + $16 = $36. So, the store sells the jacket for $36.

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Answer:

Option C is the correct answer.

Explanation:

  Boxes collected by Mohammed = [tex]7\frac{1}{2}[/tex]

  Boxes collected by Isaac = [tex]8\frac{1}{3}[/tex]

  Boxes collected by Noah = [tex]4\frac{3}{4}[/tex]

  Boxes collected by Felix = [tex]3\frac{2}{3}[/tex]

 Total boxes collected = [tex]7\frac{1}{2}+8\frac{1}{3}+4\frac{3}{4}+3\frac{2}{3}[/tex]

                = [tex]\frac{15}{2}+\frac{25}{3}+\frac{19}{4}+\frac{11}{3}=\frac{36}{3} +\frac{49}{4} =\frac{97}{4}[/tex]

                = [tex]24\frac{1}{4}[/tex]

   Option C is the correct answer.

Answer:

6 appointments are cancelled per day

Step-by-step explanation:

Question says  4 out of 24 appointments are cancelled.

It means out of 1 appointment , the cancelled appointments = [tex]\frac{4}{24}[/tex]

=[tex]\frac{1}{6}[/tex]

Now the questions says each day there are 36 appointments

And we have to find how many appointments got cancelled each day,

It means we have to find how many appointments got cancelled out of 36 appointments each day

So we multiply 36  by [tex]\frac{1}{6}[/tex]

=[tex]36 * \frac{1}{6}[/tex]

= 6

Hence , 6 appointments got cancelled each day.

Jasmine has 6 appointments cancelled per day, determined by scaling the given cancellation ratio (4 out of every 24) to match the number of daily appointments she books (36).

To answer this question, we first need to understand the rate at which appointments are cancelled. The problem states that 4 out of every 24 appointments are cancelled. To find out how many appointments are cancelled each day, we use this ratio and apply it to the 36 appointments that Jasmine books each day.

First, we need to scale the ratio to match Jasmine's daily bookings. To do this, we multiply the numerator and denominator of the ratio by 36/24, which is 1.5. This gives us a new ratio of 6 cancellations for every 36 appointments.

So, each day, out of the 36 appointments that Jasmine books, 6 appointments are cancelled.

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There is only one solution to the equation.  A quadratic equation has 2 solutions a positive and a negative, but since we are looking for length, the answer can only be postive.  Area= side^2

              400= x^2

         sqrt(400)=x

          20 inches = x  

The length of one side is 20 inches

check: 20*20 = 400, which is the area of the square painting.

48 children and 96 adults

let x be the number of children then number of adults = 2x and

x + 2x = 144

3x = 144 ( divide both sides by 3 )

x = [tex]\frac{144}{3}[/tex] = 48

There are 48 children and ( 2 × 48 ) = 96 adults

There are 48 children and 96 adults in line.

To find how many children and adults are in line, we can use algebraic equations and solve for each variable. Let's assume the number of children in line is x. Since there are twice as many adults as children, the number of adults in line would be 2x. According to the given information, the total number of people in line is 144. Therefore, we can set up the equation x + 2x = 144. Simplifying the equation, we get 3x = 144. Dividing both sides by 3, we find x = 48. So, there are 48 children and 2 * 48 = 96 adults in line.

Final answer:

To solve the word problem, subtract 3 from 8 to find the number of Dalmatians Sarah has, then add that number to Joe's 8 Dalmatians to determine the total number of Dalmatians they have together, which is 13.

Explanation:

To solve the word problem presented, we need to perform two primary operations: subtraction and addition. Joe has 8 Dalmatians, and Sarah has 3 fewer Dalmatians than Joe.

First, we determine how many Dalmatians Sarah has by subtracting 3 from 8. Once we know how many Dalmatians Sarah has, we add that number to Joe's 8 Dalmatians to find out the total number they have together.

Step 1: Calculate the number of Dalmatians Sarah has.
Sarah's Dalmatians = Joe's Dalmatians - 3
Sarah's Dalmatians = 8 - 3
Sarah's Dalmatians = 5

Step 2: Calculate the total number of Dalmatians they have together.
Total Dalmatians = Joe's Dalmatians + Sarah's Dalmatians
Total Dalmatians = 8 + 5
Total Dalmatians = 13

Therefore, Joe and Sarah have a total of 13 Dalmatians together.

Whole numbers are a subset of integers, which in turn are a subset of rational numbers.

So, every whole number is an integer, and every integer is a rational number.

So, it is possible for a rational number not to be an integer. Think of any decimal number: 1.356 is a rational number, but it's not an integer.

On the other hand, if a number is not an integer, it can't be a whole number, because all whole numbers are integers.

Answer:

Present age of john= 24 years

Let Shane's age= x years

 Two years ago

John's age = 24-2= 22 years

Shane's age = (x-2) years

  Writing in terms of equation,to the above statements

⇒22= 2(x-2)

⇒22= 2 x- 4

⇒22+4 = 2 x

⇒ 2 x= 26

⇒ x= 26÷2

⇒ x =13

Present age of son = 13 years

"Less than" means subtraction

The order they appear in tells me to subtract 9 from N.

n - 9

We are given traingle ABC and Triangle DEF.

Angle <A is congruent to Angle <D

Angle <B is congruent to Angle <E

Angle <C is congruent to Angle <F.

If two pairs of corresponding angles are congruent to each other, then the triangles are similar by Angle-Angle Similarity.

By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.

Therefore, option C is correct option.

Answer:

Similar AA

Step-by-step explanation:

5 units right: x + 5

1 unit up: y + 1

(x, y) → (x + 5, y + 1)

(4, 2) → (4 + 5, 2 + 1) = (9, 3)

(3, 7) → (3 + 5, 7 + 1) = (8, 8)

[tex]\begin{array}{ccc}\ \ x&y\end{array}\ \ \ \ \begin{array}{ccc}\ \ x&y\end{array}\\\left[\begin{array}{ccc}4&2\\3&7\end{array}\right]+\left[\begin{array}{ccc}5&1\\5&1\end{array}\right]=\left[\begin{array}{ccc}9&3\\8&8\end{array}\right][/tex]

Answer:

[tex]\left[\begin{array}{ccc}4&2\\3&7\end{array}\right]+\left[\begin{array}{ccc}5&1\\5&1\end{array}\right][/tex]

Answer:

Infinitely many.

Step-by-step explanation:

y = 3x + 4

2y = 6x + 8

Basically you would fill in the variable for y into the second equation.

2 (3x + 4) = 6x + 8

Multiply 2 by the part in the parenthesis.

2 * 3x = 6x

2 * 4 = 8

Set up the equation and solve

6x + 8 = 6x + 8

Because the sides are the same, they cancel each other out. When two sides equal the same variable they have infinitely many solutions.

Let

x-----------> the length of the rectangular corral

y-----------> the width of the rectangular corral

we know that

the area of the rectangular corral is equal to

[tex]A=x*y\\ A\geq 29,040\ ft^{2}[/tex]

so

[tex]x*y \geq 29,040[/tex] -------> inequality A

the perimeter of the rectangular corral is equal to

[tex]P=2x+y\\P \leq 1,364 ft[/tex]

so

[tex]2x+y \leq 1,364[/tex] -----> inequality B

using a graphing tool --------> resolve the compound system inequalities

see the attached figure

the solution is the shaded area

so

the length of 650 feet does  meet the requirements of the runners corral

and the width is 64 ft-------> see the graph

the answer is

a) the length of 650 feet does  meet the requirements of the runners corral

D, Each x value has one and only one y value.; This is because if an x-value repeats itself then it is not a function. You can test this on a graph by drawing a vertical line on it. If the vertical line intercepts the line more than once anywhere on the graph, then it is not a function.

Answer:

Each x value has one and only one y value.

Step-by-step explanation:

y = f(x) can be called a function if, and only if

f(a) = f(b) means that a = b.

That is, each x value has one and only one y value.

y = 4 - 6x

f(a) = f(b)

4 - 6a = 4 - 6b

6b = 6a

b = a

So the correct answer is:

Each x value has one and only one y value.

Answer:

Value of house in 2017  = 231525$

Explanation:

 At the start of 2014 worth of Lucy's house = 200000$

 Rate of increase of the value of the house = 5% = 0.05

 Value of house in 2015 = 200000+0.05*200000 = 210000$

 Value of house in 2016 = 210000+0.05*210000 = 220500$

 Value of house in 2017 = 220500+0.05*220500 = 231525$

 Number of years in between 2014 and 2017 = 2017 - 2014 = 3 years.

 Value of house in 2017 [tex]=200000*1.05^3=231525$[/tex]

Use [tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex](2x+3)^2=(2x)^2+2(2x)(3)+3^2=4x^2+12x+9[/tex]

answer B or 1/6  should be right.

Answer:  The correct option is

(B) [tex]\dfrac{1}{6}.[/tex]

Step-by-step explanation:  We are given to find the slope of the straight line shown in the graph.

From the graph, we see that the line passes through the points (-6, 3) and (12, 6).

The SLOPE of a line passing through the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

Therefore, the slope of the given line is

[tex]m=\dfrac{6-3}{12-(-6)}=\dfrac{3}{12+6}=\dfrac{3}{18}=\dfrac{1}{6}.[/tex]

Thus, the slope of the given line is [tex]\dfrac{1}{6}.[/tex]

Option (B) is CORRECT.

Since the amount of coworkers would be the variable in this expression, the equation would be 48-8x  

(X= number of coworkers)

Mode means MOST.  Which number is displayed the most?

39, 43, 43, 50, 55, 61, 75, 78, 78, 78

Answer: 78

Note: I placed the data set into numerical order because it will help you to easily find the mode and also the median (middle number).

Answer:

B is the correct answer.

The function that passes through the points (2, 15) and (3, 26) is B) y = 11x - 7.

The function that passes through the given points is B) y = 11x - 7.

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Answer:

(A) OE

Step-by-step explanation:

From the given figure, it can be seen that TG and LI are the chords of the circle with center O such that TG=LI=10.4 which means that TG is congruent to LI.

Also, OE and OH gives the shortest distance(perpendicular) of the chord LI and TG respectively from center of circle O.

And, We know that "the congruent chords are equidistant from the center of a circle."

Therefore, we can conclude that, OH is congruent to OE.

Hence, option (A) is correct.

From the figure we can conclude that OH is congruent to OE.

Further Explanation:

Given:

The options are as follows,

A. OH is congruent to OE.

B. OH is congruent to OE.

C. OH is congruent to OE.

D. OH is congruent to OE.

Explanation:

A point is a location on the graph or at any surface.

A line is the distance between the two points that extends to infinite in both directions.

A ray is defined as the distance between the two points that extends to infinite in one direction.

Plane extends in two dimensions.

The length of TG and LI is [tex]10.4{\text{ units}}.[/tex]

LI and TG are the chords of the circle with same length.

OE and OH are the perpendicular bisector of the chords LI and TG respectively.

The given chords of the circle are equidistant from the center of the circle.

From the figure we can conclude that OH is congruent to OE.

Learn more:

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Line and Rays

Keywords: congruent, fill, blank, conclude, OH, OE, chord, tangent, displacement, two chords, radius, center, circle, equidistant,