What happens when you multiply or divide by a negative number in a inequality

Answer:

$3.16

Step-by-step explanation:

$2.95 + 7%= 3.1565

by rounding up you get $3.16.

Answer:

$3.16

Step-by-step explanation:

To find the total, find how much the tax is.  Multiply the price of the notebook by the percentage the tax is.

$2.95 × 0.07 = $0.21

Add the value of tax with the price of the book.

$2.95 + $0.21 = $3.16

You can also solve this problem by multiplying the price of the notebook by the percentage of the tax plus one.

$2.95 × 1.07 = $3.16

Answer:

8/3 or 2 2/3 as a mixed number

Step-by-step explanation:

Answer:

A)

x + 7 < 5

Shows inequality

The correct inequality that represents the solutions on the given number line is C) [tex]\( x - 5 > 2 \).[/tex]

To find the correct inequality, we need to determine which one corresponds to the shaded portion of the number line. The shaded portion indicates the set of all [tex]\( x \)[/tex] values that satisfy the inequality.

Let's analyze each option:

A) [tex]\( x + 7 \leq 5 \)[/tex]

If we solve this inequality, we get:

[tex]\( x \leq 5 - 7 \)[/tex]

[tex]\( x \leq -2 \)[/tex]

This inequality would be represented by a number line shaded to the left of -2, including -2 itself. This does not match the given number line, which is shaded to the right of a point.

B) [tex]\( x + 3 \geq 1 \)[/tex]

Solving this inequality, we get:

[tex]\( x \geq 1 - 3 \)[/tex]

[tex]\( x \geq -2 \)[/tex]

This inequality would be represented by a number line shaded to the right of -2, including -2 itself. However, the inequality sign in the question is non-inclusive, which means -2 itself should not be shaded. This does not match the given number line, which has a shaded circle at the starting point of the shaded region, indicating inclusivity.

C) [tex]\( x - 5 > 2 \)[/tex]

Solving this inequality, we get:

[tex]\( x > 2 + 5 \)[/tex]

[tex]\( x > 7 \)[/tex]

This inequality would be represented by a number line shaded to the right of 7, not including 7 itself. This matches the given number line, which shows the shaded region starting just to the right of 7 (indicated by an open circle at 7).

D) [tex]\( x - 1 \leq 1 \)[/tex]

Solving this inequality, we get:

[tex]\( x \leq 1 + 1 \)[/tex]

[tex]\( x \leq 2 \)[/tex]

This inequality would be represented by a number line shaded to the left of 2, including 2 itself. This does not match the given number line, which is shaded to the right of a point and has an open circle at the starting point of the shaded region.

Therefore, the correct answer is C)[tex]\( x - 5 > 2 \)[/tex], as it accurately describes the shaded region on the given number line.

Answer:

The length of JL is 18 feet

Step-by-step explanation:

This is true because the sides double in length

Answer:

18 ft

Step-by-step explanation:

The triangles are similar so the ratios must be the same

GI              IH

--------- = -------------

JL              LK

9               12

--------- = -------------

JL              24

Using cross products

9 *24 = JL *12

Divide each side by 12

9*24/12 = JL*12/12

18 = JL

Answer:

V=250(2d)

Step-by-step explanation:

The equation representing the value of a bond doubling every decade is

V = 2d(250).

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A bond is initially bought for $250 and it doubles in value every decade.

Let, 'v' be the value of the bond at any given time and 'd' be the number of decades.

Therefore, The equation that represents this situation is,

V = 2d(250).

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Answer:

29,600 feet cubed

Step-by-step explanation:

The surface area is 3700 square feet.

The house is 8 feet tall.

Simply, you just have to multiply 3700 * 8.

Answer:

x = 26

Step-by-step explanation:

The three angles form a straight line, so they will sum to 180

4x - 8  + 34  + 76- x = 180

Combine like terms

3x+ 102 = 180

Subtract 102 from each side

3x+102-102 = 180-102

3x= 78

Divide each side by 3

3x/3 = 78/3

x = 26

The slope between the points (0, –5) and (–9,1) is -2/3, which is found using the slope formula. Positive slopes rise, negative slopes fall, and zero slopes are horizontal lines.

To find the slope of a line passing through two points (0, –5) and (–9,1), we use the formula for the slope (m), which is m = (y₂ - y₁) / (x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Substituting the given points into the formula, we get m = (1 - (-5)) / (-9 - 0), which simplifies to m = (1 + 5) / (-9), and further simplifies to m = 6 / (-9), resulting in a slope of m = -2/3.

Regarding slope and its characteristics on a graph, a positive slope means the line rises as it moves from left to right, a negative slope means the line falls as it moves from left to right, and a zero slope indicates a horizontal line.

Answer:

9

Step-by-step explanation:

a triangle is bacicly half of a rectangle so 3 x 6 is 18 but since it's just half, you divide by 2 and you get 9!

Step-by-step explanation:

Phytagoras Theorem :

c² = a² + b²

c² = 3² + 6²

c² = 9 + 36

c² = 45

c = √45

So, the exact length og the third side is √45

Hope it helpful and useful :)

Answer:

x²y²+xy²+3+xy+2y²

Step-by-step explanation:

(2x²y²+x²y+xy²+3)-(x²y²+x²y²+x²y-xy-2y²)

1. remove the parentheses (when there’s - in front of an expression  in parentheses  change the sign of each term of the expression)

2x²y² + x²y + xy² + 3-x²y² - x²y² - x²y + xy - 2y²

2. eliminate the opposites

2x²y² + xy² + 3 -x²y² + xy +2y²

3. collect like terms

x²y² + xy² + 3 + xy + 2y²

Answer:

A and B

Step-by-step explanation:

also hey becky!

Answer:

a) 72 cm2 (centimeter square)

b) 9 cm2 (centimeter square)

c) 9 cm2 (centimeter square)

d) 54 cm2 (centimeter square)

Step-by-step explanation:

a) the area of the rectangle = Base x Height

= 12 x 6

= 72 cm2 (centimeter square)

b) the area of the triangle A = 1/2 x Base x Height

= 1/2 x 3 x 6

= 9 cm2 (centimeter square)

c) the area of the triangle B = 1/2 x Base x Height

= 1/2 x 3 x 6

= 9 cm2 (centimeter square)

d) area of the parallelogram = area of the rectangle - area of triangle A - Area of triangle B

= 72 - 9 - 9

= 54 cm2 (centimeter square)

Answer:

151 mi

Step-by-step explanation:

Considering the question given, the distance we are trying to obtain is the distance between Raleigh and Norfolk.

Steps on how to obtain the distance travel by the pilot is given in the attached photo.

Answer:

red one

Step-by-step explanation:

you do rise over run

Answer:

4/3

Step-by-step explanation:

you are going up 4 and right 3 therefore its positive because if it were negative it would be down 4 left 3

Answer:

Can you please provide a picture of the line/segment?

Step-by-step explanation:

Radius: line from center of circle to side

Diameter: double the radius, goes straight through middle of circle

Secant: line that intersects the circle in two different points

Chord: line that intersects the circle in exactly one point, called the point of tangency

hope that helps :)

Answer:

-1215.

Step-by-step explanation:

For a geometric sequence:

nth term = a1 r^(n-1)

The first term a1 = 5 and the common ratio r  = -15/5 = -3.

So 6th term = 5 * (-3)^(6-1)

=  5 * (-3)^5

= -1215.

The 6th term in this geometric sequence should be considered as the -1215.

The following formula should be used for the same.

nth term = [tex]a_1\ r^{(n-1)[/tex]

Here,

The first term a1 = 5

and the common ratio r  = [tex]-15/5[/tex]= -3.

So 6th term should be

[tex]= 5 \times (-3)^{(6-1)}[/tex]

[tex]= 5 \times (-3)^5[/tex]

= -1215

Hence, The 6th term in this geometric sequence should be considered as the -1215.

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Answer:

28.26

Step-by-step explanation:

This is the formula for area of a circle

A = pi r^2

Substitute the given values

A = 3.14 (3)^2

A = 3.14 (9)

28.26

Answer:

Answer is B. 9.3

Step-by-step explanation:

I took the test

There is a probability of 9.3% that the normal distribution data value is between 27 and 28

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given that:

mean of 26 and a standard deviation of 4, For:

For x = 27:

z = (27 - 26) / 4 = 0.25

For x = 28:

z = (28 - 26) / 4 = 0.5

P(0.25 < z < 0.5) = P(z < 0.5) - P(z < 0.25) = 0.6915 - 0.5987 = 0.093

There is a probability of 9.3% that the normal distribution data value is between 27 and 28

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Answer:

Hope this helps! If it doesn't let me know and I will try and answer it better!

Step-by-step explanation:

HL Congruence Theorem

This shows that _ AC ≅ . Therefore, △ABC ≅ △DEF by . Use the HL Congruence Theorem to prove that the triangles are congruent. A Given: ∠P and ∠R are right angles.

Answer:

Step-by-step explanation:

Answer:

d) [tex]y=-\frac{1}{2} (x-3)^{2} -4[/tex]

Step-by-step explanation:

When you reflect an equation the slope is the opposite (if the slope is positive it'll be negative when reflected)

The slope is [tex]\frac{1}{2}[/tex] and when it is reflected it is [tex]-\frac{1}{2}[/tex]

When you shift something to the right you add [tex](x-3)^{2}[/tex]

Answer:

A≈226.19

Step-by-step explanation:

The formula is A=2πrh+2πr²

you fill in the radius and get A=2π4h+2π4²

Then fill in the height and get A=2π4×5+2π4²

and your final answer would be A≈226.19

Answer:the length of a soccer field

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C.

Step-by-step explanation:

Answer:

the answer is 6

Step-by-step explanation:

By pytagoras Theorem

hope its helpful

Answer:

B.)

Step-by-step explanation:

the pictures aren't loading but i think we have the same problem if this is on edge, b is a straight line that passes through the origin, a c and d do not line up

The graph of ordered pairs that shows a proportional relationship is: Graph 1

A proportional relationship is defined as a relationship between two variables where the ratio of the variables is always the same. In other words, one variable is always a constant multiple of the other variable.

Graph 1: The rate of change of y with x for the two points are:

m = -2/1 = -2

m = -4/2 = -2

Graph 2: The rate of change of y with x for the two points are:

m = 3/1 = 3

m = -2/-2 = 1

Graph 3: The rate of change of y with x for the two points are:

m = -2/1 = -2

m = 1/-3 = --1/3

Graph 4:  The rate of change of y with x for the two points are:

m = 1/2

m = 3/5

Thus, the only one that represents a proportional relationship is Graph 1

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