Which statements about opposites are true?

Select each correct answer.

A.The product of a number and its opposite is always 1.

B.A number and its opposite are located the same distance from zero on a number line.

C.The opposite of zero is zero.
The opposite of a negative number is always a positive number.
D.

Answer:

The correct option is 3.

Step-by-step explanation:

It is given that the length of sides of a triangle are 0.5x+9, 3x, and -3.4x-25.

Let a=0.5x+9, b=3x, and c=-3.4x-25.

Perimeter of a triangle is the sum of length of all three sides.

[tex]Perimeter=a+b+c[/tex]

Substitute a=0.5x+9, b=3x, and c=-3.4x-25 in the above equation.

[tex]Perimeter=(0.5x+9)+(3x)+(-3.4x-25)[/tex]

On simplification, we get

[tex]Perimeter=0.5x+9+3x-3.4x-25[/tex]

Combine like terms.

[tex]Perimeter=(0.5x+3x-3.4x)+(9-25)[/tex]

[tex]Perimeter=(0.1x)+(-16)[/tex]

[tex]Perimeter=0.1x-16[/tex]

Perimeter of the triangle is 0.1x-16. Therefore the correct option is 3.

The statement that is true about the graph is The maximum value of g(x) is greater than the minimum value of f(x).

1. "The maximum value of g(x) is greater than the minimum value of f(x)": This is true because the maximum value of g(x) is -10, which is greater than the minimum value of f(x) (which we don't know, but it cannot be lower than -10 based on the given data).

2. "The minimum value of g(x) is less than the maximum value of f(x)": This is true based on the given data, as the minimum value of g(x) is -1, which is less than the maximum value of f(x) (which we don't know, but it cannot be higher than -1 based on the given data).

3. "The minimum value of g(x) is greater than the maximum value of f(x)": This is false based on the given data. The minimum value of g(x) is -1, which is less than the maximum value of f(x) (which we don't know).

4. "The maximum value of g(x) is less than the minimum value of f(x)": This is false based on the given data. The maximum value of g(x) is -10, which is less than the minimum value of f(x) (which we don't know, but it cannot be lower than -10 based on the given data).

The greatest value of g(x) is -1 (the higher number for the g(x) entry in the table), and the minimum value of f(x) is -3 (the lower y/f(x) you may point on the graph). As a result, the maximum value of g(x) exceeds the minimum value of f(x).

Answer:

796.2

Step-by-step explanation:

a number 1/10 as great as 7962 can be found in two ways the first way is

1) Divide 7962 by 10 we get 796.2

there fore 7962/10= 796.2

second way to get

2) multiply 7962 by 1/10 we again get 796.2

therefore from both the calculation a number 1/10 as great as 796.2

hope you got the point, feel free to ask doubt in comments

Final answer:

Combine like terms by adding or subtracting the coefficients of terms with the same variable and combining constants. The simplified expression is 4b + 2, so the coefficients that go in the boxes are 4 and 2.

Explanation:

To simplify the expression by combining like terms, follow the process of identifying and adding/subtracting like terms. The expression 7b + 4 - 3b - 2 contains both variable terms (containing 'b') and constant terms (just numbers).

Combine like terms:

Combine variable terms: 7b - 3b = 4b.

Combine constant terms: 4 - 2 = 2.

After combining like terms, the simplified expression is 4b + 2.

Therefore, the numbers that go in the boxes are 4 for the coefficient of 'b' and 2 for the constant term.

To solve for B in the given equation, subtract hP from both sides and then divide both sides by 2. This results in B = (T - hP) / 2.

To solve for B in the equation T = hP + 2B, you need to isolate B. Here's a step-by-step process to do that:

So, the solution for B in the equation is B = (T - hP)/2.

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The number is 144.32 whose 97% is 140 ft .

Given,

140 ft is 97 percent of what number .

Here,

Let the number be x .

Forming the equation,

97% of x = 140

97/100 of x = 140

x = 140 * 100/97

x = 140000/97

x = 144.32

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The walls of a room need painting. Each of the four walls is 12 ft wide by 8.5 feet tall.

We know that, Area = length [tex]\times[/tex] width.

So, the area of one wall = 8.5 ft [tex]\times[/tex] 12 ft = 102 square feet

Thus, the area of 4 walls = 4 [tex]\times[/tex] 102 = 408 square feet

One gallon of paint covers 75 square feet. We need to find how many gallons of paint will cover 408 square feet.

So, the amount of gallons of paint needed = 408[tex]\div[/tex]75

= 5.44 gallons

So, 5.44 gallons are needed to cover 408 square feet.

To find the number of gallons of paint needed to paint the walls of a square room, calculate the total area of all four walls and divide it by the coverage of one gallon of paint.

To find the total area of all four walls, we need to calculate the area of one wall and then multiply it by four. The area of one wall is the product of its width and height, which is 12 ft x 8.5 ft = 102 ft².

So, the total area of all four walls is 102 ft² x 4 = 408 ft².

Since one gallon of paint covers 75 ft², we divide the total area of all four walls (408 ft²) by the coverage of one gallon of paint (75 ft²) to find the number of gallons needed: 408 ft² ÷ 75 ft² = 5.44 gallons.

Therefore, you will need approximately 5.44 gallons of paint to paint the walls of the square room.

Answer:

Percentage of the photo = 50%

Step-by-step explanation:

Given that the measurement of the photo is 4 inches by 6 inches and the measurement of the photo frame is 2 inches wide all around, it simply implies that is measurement of the photo frame is (4inches + 2inches) by (6 inches + 2inches). I.e 6inches by 8inches

To find the percentage of the photo itself, let find the area of the photo and that of the frame

Area of photo = 4 inches x 6 inches = 24inches²

Area of photo = 6 inches x 8 inches = 48inches²

Percentage of the photo = area covered by the photo / area covered by the frame x100

Percentage of the photo = 24/48 * 100

Percentage of the photo = 50%

The distributive property: a(b + c) = ab + ac

8 × 19 = 8 × (20 - 1) = 8 × 20 - 8 × 1 = 160 - 8 = 152

the answer is Becky,s hope this helped

The number of miles for which the cost of both shuttles is the same is 40.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The charges for two shuttle services are shown in the table.

m=0-10/0.35-0.10

=10/0.25

Ten divided by zero point two five is 10 by one divided by 4.

=40 miles

Hence, the number of miles for which the cost of both shuttles is the same is 40.

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Answer:

The answers are y=15.4x and y=16.4x.

Step-by-step explanation:

I took the test just 3 minutes ago

Two or more expressions with an equal sign is called as Equation. y = 15.2x is the equation which could represent Relationship A.

Two or more expressions with an equal sign is called as Equation.

Given that,

Relationship A has a greater rate than Relationship B

Hours Worked                    Amount Paid

2                                               30.4

4                                                60.8

5                                                 76

8                                                121.60

Let us take  hours worked as x and Amount paid as y.

In the given functions

y = 15.4x ...(1)

y = 15.2x ...(2)

y = 16.4x ...(3)

y = 14.9x....(4)

We need to check which satisfies the relationship between x and y.

If x=2 then we need to get 30.4

So let us put x=2 in equation 1.

y=15.4×2

=30.8

Which does not matches.

Now let us check with second function.

y=15.2×2

y=30.4

It matches.

So let us check for other values.

x=4

y=15.2×4

y=60.8

x=5

y=15.2×5=76

if x=8, y=15.2×8=121.6

Hence  y = 15.2x is the equation which could represent Relationship A.

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Bruce will catch up with Linda at 9:48 am.

To find the time at which Bruce catches up with Linda, we need to determine the time it takes for Bruce to cover the same distance that Linda has already covered.

Since Linda starts her trip at 9:00 am and Bruce starts 30 minutes later at 9:30 am, Linda has a head start of 30 minutes or 0.5 hours.

In that 0.5 hours, Linda travels a distance of:

Distance traveled by Linda = Speed * Time
Distance traveled by Linda = 60 mph * 0.5 hours
Distance traveled by Linda = 30 miles

Now, Bruce needs to catch up with that distance of 30 miles. Let's find the time it takes for Bruce to cover that distance at his speed of 90 mph:

Time taken by Bruce = Distance / Speed
Time taken by Bruce = 30 miles / 90 mph
Time taken by Bruce = 0.33 hours

Since Bruce started at 9:30 am, he will catch up with Linda at:

Catch up time = Start time + Time taken by Bruce
Catch up time = 9:30 am + 0.33 hours
Catch up time = 9:48 am

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Answer:

31.25 mm

Step-by-step explanation:

Use a proportion.

25 mm is to 4 m as x mm is to 5 m

25/4 = x/5

4x = 125

x = 125/4

x = 31.25

Answer: 31.25 mm

The break-even point can be determined by setting the net sales per hour equal to the total cost per hour. The equation to solve for the break-even point is $200x = $1,320x. By dividing both sides of the equation by $1,320, we can find the value of x, which represents the number of hours per month the store needs to be open to break even.

To determine the break-even point, we need to find the number of hours per month the store needs to be open in order to cover all its costs. The total cost for each hour the store is open is the sum of the rent and the employee salary. So, the total cost per hour is $1,200 + $120 = $1,320. The break-even point is reached when the net sales per hour equals the total cost per hour:

Net sales per hour = Total cost per hour

In this case, the net sales per hour is $200, so we can set up the equation:

$200x = $1,320x

where x represents the number of hours per month the store is open. By dividing both sides of the equation by $1,320, we can solve for x:

$200 = $1,320x / $1,320

$200 / $1,320 = x

x = 0.1515...

So, the break-even point is approximately 0.1515... hours per month, or about 9.09 minutes per month.

The unit rates which will be reasonable for Violet to use to describe how fast the sand is draining from the upper portion to the lower portion of the glass is cubic centimeters per minute.

Explanation:

As the first 2 options gallons per hour and liters per hour, these denote liquid forms. But sand is not liquid that is why it cannot be the answer.

Cubic inches per second is very fast as compared to the small hourglass and the amount of sand that could be present in it. Moreover one side of the hourglass needs to be emptied in 24 hours, so this option is also not possible.

Answer:

2458.77

Step-by-step explanation:

3115.89*(1+0.053/12)^(11*12) - 3115.89 = 2458.77