Joan attended school for 2 weeks longer than 3/4 of the year. How long did Joan attend school? (Assume 52 weeks in a year.)​

The price relative of a new Explorer compared to the cost of Explorer in 1990 is 1.66.

The price relative is the ratio of the price of the Explorer today to the price of the Explorer in 1990. In order to determine the price relative, divide the price of the Explorer today to the price of the Explorer in 1990.

Division is the operation that is used to determine the quotient of two or more numbers. The sign that is used to represent division is ÷.

Price relative = price of the Explorer now / price of the Explorer in 1990

$39,900 / $24,00 = 1.66

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Step-by-step explanation:

gradient means slope.

the slope is anyways the factor a of x on the slope-intercept form

y = ax + b

and in the point-slope form

y - y1 = a(x - x1)

"a" is as mentioned the slope. b is the y-intercept (the y- value when x = 0).

(x1, y1) is a point on the line.

a)

y = (1/2)×x - 2

b)

y - 2 = 3(x - -2) = 3(x + 2) = 3x + 6

y = 3x + 8

c)

remember, the slope is defined as ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

so, let's go from (1, -2) to (-2, 1)

x changes by -3 (from 1 to -2)

y charges by +3 (from -2 to 1)

the slope is +3/-3 = -1/1 = -1

so, we pick one point, e.g. (1, -2), and the line is

y - -2 = -(x - 1) = -x + 1

y + 2 = -x + 1

y = -x - 1

d)

x = -1

this is a vertical line (parallel to the y-axis) representing all points on the grid for which x = -1.

the slope is undefined, as it is y/0 (because x never changes at all). and there is no y-intercept, as x can never be 0, and the line is parallel to the y-axis, so, there cannot be any intersection point.

Answer:

[tex]\textsf{a) \quad $y=\dfrac{1}{2}x-2$}[/tex]

[tex]\textsf{b) \quad $y=3x+8$}[/tex]

[tex]\textsf{c) \quad $y=-x-1$}[/tex]

[tex]\textsf{d) \quad $x=-1$}[/tex]

Step-by-step explanation:

Slope-intercept form of a linear equation:

[tex]y=mx+b[/tex]

where:

Given values:

Substitute the given values into the formula to create the equation of the line:

[tex]\implies y=\dfrac{1}{2}x-2[/tex]

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

Point-slope form of a linear equation:  

[tex]y-y_1=m(x-x_1)[/tex]

where:

Given:

Substitute the given values into the formula to create the equation of the line:

[tex]\implies y-2=3(x-(-2))[/tex]

[tex]\implies y-2=3(x+2)[/tex]

[tex]\implies y-2=3x+6[/tex]

[tex]\implies y=3x+8[/tex]

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

Slope formula:

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are points on the line.

Given points:

Substitute the points into the slope formula to calculate the slope of the line:

[tex]\implies m=\dfrac{1-(-2)}{-2-1}=\dfrac{3}{-3}=-1[/tex]

Substitute the found slope and one of the points into the point-slope formula to create the equation of the line:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-(-2)=-1(x-1)[/tex]

[tex]\implies y+2=-x+1[/tex]

[tex]\implies y=-x-1[/tex]

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

If the line is parallel to the y-axis, it is a vertical line.

The equation of a vertical line is x = c.

Therefore, as the line intersects the x-axis at -1, the equation of the line is:

[tex]\implies x=-1[/tex]

Answer:

74.52

Step-by-step explanation:

[tex]P(10)=0.018(10)^3-0.294(10)^2+3.074(10)+55.180 \\ \\ =74.52[/tex]

The equation using the variable m to represent the cost of a Big Mac is

m + 1.07 = 15.07.

The cost of a Big mac is $14.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Let the cost of Big macs = m

cost of fries = $1.07

The total cost of Mig macs and fries = $15.07

This can be written as an equation:

m + 1.07 = 15.07

Subtract 1.07 on both sides.

m + 1.07 - 1.07 = 15.07 - 1.07

m = 14

The cost of a Big mac is $14.

Thus,

The equation using the variable m to represent the cost of a Big Mac is

m + 1.07 = 15.07.

The cost of a Big mac is $14.

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Answer: 268435456

Step-by-step explanation:

please mark brainliest if this helped :)

Answer:

Use order of operations,

1. 4^5 = 1024

2. 4^3 = 64

3. 4^2 = 16

4. 1024 * 64 = 65,476

5. 65,476 * 16 = 696,616

6. 16 * 4 = 64

7. 64 * 16 = 1,024

8. 696,616 / 1,024 = 680.2890625

The area of the Great Lakes is 988 square miles.

According to the question,

We have the following information:

The area of the Great Lakes is about 9.5 x 104 square miles.

Now, the area of the Great Lakes can simply be found by multiplying the given two numbers.

Now, in the multiplication involving numbers with decimal points, we know that the numbers are multiplied first as if there is no decimal point but in the result obtained we put the decimal point to exactly counting the digits where the decimal point was placed in the input. We move the decimal point to the left hand side according to the number of digits.

In this case, point is after 1 digit.

9.5*104 square miles

988.0 square miles

988 square miles

Hence, the area of the Great Lakes is 988 square miles.

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Given:

Increased rate = 15%

One month bill = $130

Find-:

What was the monthly food bill after three​ months?

Explanation-:

Formula:

Where,

The given value is:

Amount after 3 months.

So, the food bill after three months is $197.714

The given inequality is

First, we subtract 1 on each side

Now we use the property of inequalities with absolute values, which states

Using this property, we have

We solve the compound inequality now

Therefore, the solution is the interval [-2,7], and the graph of it would be

Given:

The size of a rectangular TV screen is given by the length of its diagnol.

THe diagonal length is 27 inches.

The height is 16.2 inches.

Required:

To find the width.

Explanation:

From the given data

Let x be the width.

From the above figure

Final Answer:

The width of the TV screen is 21.6 inches.

the expression (x - 3)², has one term

the expression (x + 3)(x - 3), has two terms (x- 3) and (x + 3)

Answer:

Point Form: (8,65) , (7,50)

Equation Form:

x = 8, y = 65

x = 7, y = 50

Step-by-step explanation:

The null set is the set containing weeks with eight days.

We are given four statements that describe a set of elements. We need to find the null set. The null set is one that does not have even a single element present in it.

The first set consists of mugs with handles. It is not a null set because most mugs have handles.

The second set is of dogs with four legs. It is not a null set because most dogs have four legs.

The third set consists of weeks with eight days. It is a null set because each week has only seven days.

The fourth set is of books with pages. It is not a null set because most books have pages.

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Answer:

Step-by-step explanation:

A = 1  plus negatives out be minusing positive

B= -8 minus negatives  would be nega tive plus negatives

rules

If you love to love your a lover

if you hate to hate your a lover

if you love to have ur a hater

if you hate to love ur a hater

this all relates to positive and negative addition and subtraction

Answer:

4+(-3) = 1

-6-2= -8

Step-by-step explanation:

Same sign add

Different sign subtract

Keep the sign of the bigger number

The number of citizens choosing cats, fish and dogs are 3360, 1820 and 3500 respectively.

Given, from the data which is represented by the pie chart, the percentage of citizens of a certain community choosing their favorite pet is listed below:

Fish = 13%

Dogs = 25%

Birds = 21%

Cats = 24%

Hamsters = 9%

Snakes = 8%

Altogether there are 14,000 citizens in the community.

we are asked to determine how many citizens have chosen cats, fish or dogs.

we use the method of percentage over here:

total citizens = 14000

percentage of citizens choosing cats = 24%

hence 24% of 14000 = 24/100 × 14000

= 24×140

= 3360

now, percentage of citizens choosing fish = 13%

hence 13% of 14000 = 13/100 × 14000

= 13×140

= 1820

And, percentage of citizens choosing dogs = 25%

hence 25% of 14000 = 25/100 × 14000

= 25 × 140

= 3500

hence the number of citizens choosing cats, fish and dogs are 3360, 1820 and 3500 respectively.

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The number is given to be n.

Nelson, this is the solution:

Let's recall that 1 pound = 0.4536 kg, therefore:

• 5 pounds = 0.4536 * 5

• 5 pounds = 2.268 kilograms

the coordinates of the image after a reflection in the y- axis are =A (5,2), B (2,1) and C(1,3)

A pair of number that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes. Usually represented by (x ,y)the x-value and y- value

Firstly, we want to reflect across the x-axis When we reflect a point (x,y) over x-axis, we get (x,-y)

So;

A ( 2,5) becomes (2,-5)

B (1,2) becomes (1,-2)

C ( 3,1) becomes (3,-1)

Then we proceed to rotate 90 degrees counterclockwise about the origin

Here we have;

(x, y) becomes (-y ,x)

(2,-5) becomes (5,2)

(1,-2) becomes (2,1)

(3,-1) becomes (1,3)

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Total subsets of a set containing 9 elements having more than 2 elements = 466

What is a set?

A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things. A set with a single element is a singleton, while a set with no elements is an empty set. A set can either be infinite or have a finite number of items. If all of the items in two sets are identical, then the sets are equal. Modern mathematics is rife with sets. In fact, since the first part of the 20th century, Zermelo-Fraenkel set theory has been the de facto method for constructing solid foundations for all areas of mathematics.

C₉³+C₉⁴+C₉⁵+C₉⁶+C₉⁷+C₉⁸+C₉⁹

C₉³ = 84 subsets consisting of 3 elements
C₉⁴ = 126 subsets consisting of 4 elements

C₉⁵ = 126 subsets consisting of 5 elements

C₉⁶ = 84 subsets consisting of 6 elements

C₉⁷ = 36 subsets consisting of 7 elements

C₉⁸ = 9 subsets consisting of 8 elements

C₉⁹ = 1 subsets consisting of 9 elements

Total subsets of the set having 9 elements containing more than 2 elements = 84+126+126+84+36+9+1

               = 466

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Given data:

The value of the socks are x+y=$40,000.

The total interest is I=$2100.

The interest on first stock is,

i=x(4%)(1)/100

i=0.04x

The interest on second stock is,

i'=y(6%)(1)/100

=0.06x

0.04x+0.06y=2100

Substitute 40,000-x for y in the above expression.

0.04x+0.06(40,000-x)=2100

0.04x-0.06x=-300

-0.02x=-300

x=$15000

The value of second stock is,

y=40,000-15,000

=$25,000

Answer: -0

Step-by-step explanation: cause one is negative 0 and then the other is 0

Answer

Options B, C and D are correct.

Area = ½ × 14 × 9 = (14)(9) ÷ 2

Area = ½ (6 + 8) (9)

= ½ (6)(9) + ½ (8)(9)

= 63 ft²

Explanation

We are asked to pick out the options that give the area of the triangle.

To do that, we need to first note that the area of a triangle is given as

Area = ½ × Base × Height

For the triangle in the question

Base = 6 + 8 = 14 ft

Height = 9 ft.

So, the area of the triangle is

Area = ½ × Base × Height

Area = ½ × 14 × 9

We can then break this down for the two triangles in the one big triangle as

Area = ½ × 14 × 9 = (14)(9) ÷ 2

Area = ½ (6 + 8) (9)

= ½ (6)(9) + ½ (8)(9)

= 63 ft²

Hope this Helps!!!

Answer: a. the weight of a burger with 0 patties is  not 0 ounces because  

the burger has to have weight, it cannot just be 0 ounces because you will not feel anything in your hand.

b. For patty 0 the weight is 0 oz, For patty 1 the weight is 6.6 oz, For patty 2 the weight is 22.2 oz, For patty 3 the weight is 46.8 oz.

Im sorry but I do not know what to do for C, I hope this helps. Sorry that I couldn't help you with c, but good luck!!

:)

Step-by-step explanation:

Solution

For this case we need to remember that the point-slope formula is given by:

y= mx+b

And in order to find the slope we just need to have two points (x1,y1) and (x2,y2) and we can find m like this:

Then if we look at the graph we have two points:

x1= -2, y1= 3

x2= 0, y2= -1

And replacing we got:

And using the second point we can find the intercept

3= -2(-2)+b

b= 1

Our solution for this case :

y-3=-2(x+2)

Least common denominator is the smallest number that can be divided by both given denominators.

From the problem, we have :

The denominators are 6 and 2.

The smallest number that can be divided by 6 and 2 is 6.

6/6 = 1 and 6/2 = 3

So we need an equivalent fraction with a denominator of 6.

For 5/6, multiply this by 1/1 since the denominator is already 6.

For 1/2, multiply this by 3/3 to make the denominator equal to 6.

There are several ways that you can follow to from two binomials from this trinomial, for example, you can do it by following these steps:

1.write two sets of parenthesis, both with the term x

2. write a list of all the factors of 36

3. find the sum of the factors of 36

4. choose the factors whose sum equals 7 and write them into the two parenthesis

Then, the second step in the process of factoring this trinomial is: option D, to write a list of all the factors of 36

Given the following question:

Filling a table of values is very simple when we are already given the values of x, so what we need to do to fill in the rest of the table for f(x) and g(x) is substitute x for each of the table values given for x.

To start off we are given 1 so we substitute 1 in for x in both f(x) and g(x) and solve.

Second table of values:

Third table of values:

Final table of values:

g(x)=5x^2-x eventually exceeds f(x) given the table of values.

The given function is,

The domain can be determined as,

Thus, the domain is the set of real numbers excluding the number 2.

The graph can be drawn as,

The vertical asymtotes is x=2 as the fuction attains the value of infinty and negative infinity at x=2.

The horizontal asymtotes is y=1 as at this value of function the value of x is either infinity or negative of infinity.

The range of the function is,

Thus, the required range of the function is set of all real numbers excluding 1.