use the point and the slope to graph each line. Write the equation of each line. The line contains point (2,-2) and is perpendicular to a line with slope "-1"

Answer:

4(3j + 4 + j) the amount of money sarah can make is (3 Js plus 4 plus J) times 4

Step-by-step explanation:

Answer:

$350

Step-by-step explanation:

Let the cost of the bench be x. Then, the cost of the table is x+83.

[tex]x+x+83=783 \\ \\ 2x+83=783 \\ \\ 2x=700 \\ \ x=350[/tex]

The total cost is,

→ $783

Let the cost of garden table be,

→ x + $83

Then the cost of bench will be,

→ (x + 83) + x = 783

→ 2x + 83 = 783

→ 2x = 783 - 83

→ x = 700/2

→ [ x = $350 ]

Hence, the cost of bench is $350.

The systolic pressure, to the nearest tenth of a millimeter, for a person of age 41 years is; 133.6 mm Hg

We are given the equation that gives a person's blood pressure, p at the age y year is;

p = 0.007y² - 0.003y + 122

To find the systolic pressure for a person of age 41 years, just plug in y = 41 into the given quadratic equation to get;

p(41) = 0.007(41)² - 0.003(41) + 122

p(41) = 11.767 - 0.123 + 122

p(41) = 133.6

Thus, the systolic pressure, to the nearest tenth of a millimeter, for a person of age 41 years is; 133.6

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The graph of the linear equation can be seen in the image below.

Here we have the linear equation:

x - 2y = -2

To graph it, we need to find two points that belong to the line, and then we can graph these and connect them with a line.

If x = 0, we have:

0 - 2y = -2

y = -2/-2 = 1

if x = 1 then:

1 - 2y = -2

1 + 2 = 2y

3 = 2y

3/2 = y

Then we have the points (0, 1) and (1, 3/2), now just graph these points on a coordinate axis and then connect them with a line, we will get:

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Answer:

31 and 59

Step-by-step explanation:

We can figure this out by putting the words into an equation

"three degrees less than twice the measure of the smaller angle"

we know the smaller angle = x, so:

twice the smaller angle=2x

3 degrees less=-3

you then put those into an equation where they all add up to equal 90 and simplify

x+2x-3=90

3x-3=90

3x=93

x=31

you then plug that into the equation we would have for the second angle:

2x-3

2(31)-3

62-3

59

the first angle would be 31 and the second angle would be 59

:D

Answer:

Step 1. The perimeter P means adding up all four sides of a rectangle.

Step 2. Let w be the width

Step 3. Let 3w be the length since the width is one-third the length

Step 4. Then P=w+w+3w+3w=8w=20 since the perimeter P is 20 cm.

Step 5. Solving the equation in Step 4 leads to the following steps

Divide by 8 to both sides of the equation

8w%2F8=20%2F8

w=5%2F2 and 3w=15/2 and P=2(5/2+15/2)=20 which is a true statement.

Step 6. ANSWER: The width is 5/2 cm.

Step-by-step explanation:

I hope the above steps and explanation were helpful.

The equation which represents the height of the books is  [tex]s(b)=\frac{5}{4} b[/tex]

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. An equation between two sums of monomials of degree 0 or 1 is known as a linear equation.

The books are stacked one above the other and each book is [tex]1\frac{1}{4}[/tex] inches thick.

So to calculate the total height of the stack we have to multiply the number of books in the stack with the thickness of each book.

The total thickness is represented in the from of a function as

s(b) and the thickness of each book is [tex]1\frac{1}{4}=\frac{5}{4}[/tex] inches

total height=[tex]\frac{5}{4}\times b[/tex]

Therefore the required equation is  [tex]s(b)=\frac{5}{4} b[/tex].

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The area of the triangle is found as 12 unit².

A triangle is a three-sided polygon with three sides that closes a space.

The formula for the area of the triangle is;

Area of triangle= ½ × base × height

The base is given as 6 units and the height is 4 units. (count 1 column of graph as 1 unit).

Put the values in formula.

Area of triangle = ½(6)(4)

Area of triangle = 12 unit.²

Therefore, the area of the triangle is found as 12 unit.²

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Based on their average speed in miles per hour, into the proper containers. Domestic Cat Rabbit Speed, less than 30 mph on average

Domestic Cat Human Rabbit Human Being

An average speed of 30 mph

44 feet per second is the average speed

2.464 ft per second

Inches per second at 616

Greater than 30 mph for the average speed

LP2The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. It is represented by the magnitude and does not have direction.

270 miles.

The plane will go 270 miles in 3/4 of an hour, or 3/4 of 360 miles.

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The number of students that score within the range μ ± 2σ is; 190 students

The empirical rule is a tool for finding the ranges that are 1 standard deviation, 2 standard deviations, and 3 standard deviations from the mean, in which you'll find 68, 95, and 99.7% of the normally distributed data respectively.

This means that 2 standard deviations from the mean would indicate that 95% of the students would score within the given range.

Thus, number of students that score within the range μ ± 2σ is;

95% * 200 = 190 students

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Answer:

c

Step-by-step explanation:

7x²-36x+5= 7x²-x-35x+5

=x(7x-1)-5(7x-1)

=(7x-1)(x-5)

Answer:

7/10, 12/40, 2/20, -10

Answer: wait what is the question asking i can’t really see

Step-by-step explanation:

Answer:

100 miles

Step-by-step explanation:

We need to read the graph to determine the answer.

The input is 10 hours

Using the x, go up until you hit the red line and read the y value

The y value is 100 miles

The number of feet the submarine ascended is the same as the number of feet f below sea level.

A number line is a straight line with a zero point in the middle and positive and negative numbers listed on either side of zero and going on indefinitely.

We have,

The submarine is at feet f below sea level.

We represent the distance below sea level by a negative number.

We represent ascended by a positive number.

So the distance traveled by submarine is:

= Distance below sea level + Distance ascended

= (-f) + distance ascended

We have,

The submarine ascended to 0 feet above sea level.

This means,

The distance traveled by submarine = 0

Distance below sea level + Distance ascended = 0

(-f) + Distance ascended = 0

Distance ascended = f

Thus the number of feet the submarine ascended is same as the number of feet f below sea level.

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Answer:

n is 1/3

Step-by-step explanation:

if u solve the problem normally then it gives 0/0 form so

x(2x^2-1)/3x cross out the numerator and denominator x and x from 3x then keep 0 in place of x.

(2 x 0 ^2-1)/3 = -1/3

since the function is continuous at x = 0 so n = -1/3

Using a proportional relationship, the fewest number of vegetables that can be used to make this salad is:

C. 4

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, looming at the table, we have that the number of Broccoli is triple the number of carrots, hence the proportional function is:

B = 3C.

When there is one carrot, the number of broccoli is given by:

B = 3 x 1 = 3.

Hence the fewest number of vegetables is of 4, as 1 carrot + 3 broccoli = 4 vegetables, hence option C is correct.

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Answer:

5/4 > 5/6

Step-by-step explanation:

The price of one pound is $0.8.

This problem can be solved by unitary method. To understand this we must know that in this method we need to calculate the value of a unit of product and then multiply that value with the required value for which we have to calculate the value.

Given, that the weight of the apple is 5.2 pounds.

Cost of the apple is = $4.16

Therefore the cost of one pound of apple = [tex]\frac{4.16}{5.2}[/tex]

                                                                 = $0.8

So, to buy a pound of apple one must pay $0.8.

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The coins are 19 and 28 each

Let x represent the first coin and let y represent the second coin

x + y= 47.....equation 1

2x + 5y= 151.......equation 2

From equation 1

x + y= 47

x= 47-y

Substitute 47-y for x in equation 2

2(47-y) + 5y= 151

94 - 2y + 5y= 151

collect the like terms

94 + 3y = 151

3y= 151 - 94

3y= 57

y= 57/3

y= 19

Substitute 19 for y in equation 1

x + y = 47

x + 19 = 47

x= 47-19

x= 28

Hence the coins are 19 and 28 each

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Answer:

23,716 ft

Step-by-step explanation:

Let the side length of each of the four smaller lots be s.

Then, Fritz will use 12s feet, which is equal to 924.

This means s=77.

This means the area of each smaller square is 77²=5929, and thus the total area is 23,716 ft.

We get that value of AC after adding AB and BC as 12 x + 20.

We are given that:

AB = 8 x + 2 and BC = 4 x + 18

We need to find AC.

For this, we will add AB and BC.

Adding AB and BC, we get that:

AB + BC = AC

Substituting the values of AB and BC in the equation which are given to us:

AC = 8 x + 2 + 4 x + 18

Combining the like terms, we get that:

AC = 12 x + 20.

Therefore, we get that value of AC after adding AB and BC as 12 x + 20.

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Answer

4 miles

Step-by-step explanation:

The distance traveled in an hour if a person travels at 2/3 miles in 10 mins is 4 miles.

In order words, the total distance which is travelled in one hour if a person travels a journey of 2/3 miles in 10 mins is 4 miles.

The ratio of the parameters given from the above is given below:

2/3 miles in 10 mins

Convert hour to minutes:

let

Equate ratio of distance to time taken

2/3 : 10 = x : 60

2/3 ÷ 10 = x / 60

2/3 × 1/10 = x/60

2/30 = x/60

2 × 60 = 30 × x

120 = 30x

x = 120 / 30

x = 4 miles

Therefore, the distance traveled or covered in an hour if a person travels at 2/3 miles in 10 mins is 4 miles.

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The triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.

It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

It is given that:

In Euclidean geometry, the interior angles of any triangle add up to 180 degrees.

As we know,

Spherical trigonometry, which departs from conventional trigonometry in many ways, is created when angles between great circles are defined.

For instance, the total of the sides and angles of a hemispheric triangle is more than 180 degrees.

In spherical geometry, triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.

Thus, the triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.

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Answer:

0.12245454545 (Quotient = 0 Remainder = 2.694)

Step-by-step explanation:

Divide 2.694 by 22. The quotient is 0 with a remainder of 2.694

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The set notation of the numbers is {x | x < 50 ∪ x > 50}

The set is given as

The set of all real numbers less than 50 or greater than 50

Let the number be represented by x

So, we have

x less than 50 or x greater than 50

When represented as an inequality, we have

x < 50 or x > 50

Using set notation, we have

{x | x < 50 ∪ x > 50}

Hence, the set notation of the numbers is {x | x < 50 ∪ x > 50}

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