Complete the process of solving the equation.
Fill in the missing term on each line. Simplify any fractions.
11w + 3 = 14
11w =
W =
Subtract 3 from both sides
Divide both sides by 11

Using a system of equation to represent the scenario described, the cost is purchase made is $12.70

Cost of 5 bags of chips and 7 bottles of soda :

5(1.35) + 7(0.85) = $12.70

The cost of x bags of Chips and x bottles of soda can be expressed thus :

Therefore, the cost of x and y bags of Chips and soda respectively is 1.35x + 0.85y

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Answer:

hes in debt 345 dollars

Step-by-step explanation:

Answer:

Hello, so most of your steps are in the correct order. All you need to do is switch is the following steps.

x = -3 ± 5/2 should go before x = -3 + 5/2 and x = -3 - 5/2 as the second seperates the the ± into + and -

[You need to switch steps 4 and 5]

The average rate of change of the function over the interval is -6

From the question, we have the following parameters that can be used in our computation:

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

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Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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Answer:

The rate of change is $21.5 per hour

Step-by-step explanation:

The rate of change can be found using the formula: (y^2 - y^1)/(x^2 - x^1).

(the exponents refer to which number. Y^2 refers to the y-axis number of the second number given)

So fill in the blanks:

(430 - 215)/(20– 10)

Now do the math:

430 - 215 = 215, 20 - 10 = 10

(215)/10

Divide:

215/10 = 21.5

Therefore, 21.5 is the rate of change!

Answer: - 21/16 = 15/16 (simplified)

= - 1.3125 convert decimal to fraction

= - 13125/10000

= - 21/16 = 15/16  (simplified)

Answer: The answer is C

Step-by-step explanation: This is because the equation has a greater than or equal to sign (≥). This mean that there will be a closed dot. Also, when it comes to inequalities, the sign points to where the line will be drawn, (greater than is to the right and less than is to the left), which indicates that the answer is C

Answer: C

Step-by-step explanation:

Y=2x-4

8=2(6)-4

8=12-4

8=8 Correct

A scalar quantity, speed is defined as the size of the change in an object's or particle's location over time or the size of the change in an object's position per unit of time.

In statistics, a percentile (or centile) is a metric that expresses the value at or below which a specified percentage of observations in a collection of observations fall. The value (or score) below which 20% of the observations may be found is called the 20th percentile, for instance.

A higher percentile for speed is preferable for runners in a race. A high percentile indicates a faster, greater speed.

40% of athletes completed their runs at 7.5 mph or less (slower). 60% of athletes covered at least 7.5 miles per hour (faster).

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The correct answer is March, as it was the month in which the average number of hours worked by the website designers was closest to 50 hours.

A month is a unit of time typically consisting of 30 or 31 days. It is used for measuring periods of time, for example, when we say something happened "a month ago". Months are used in both the Gregorian calendar and the Julian calendar.

This data was gathered from a survey of website designers, which was conducted to determine the average number of hours each month that these professionals spent working.

In January, the average number of hours worked was 46.5. In February, it was 48.8. However, in March, the average number of hours worked was 49.4, which was the closest to 50 hours. This was followed by April, in which the average was 49.7.

Overall, it can be concluded that March was the month in which the average number of hours worked by website designers was closest to 50 hours. This is important data for website designers, as it allows them to understand the amount of time they should be spending on their work in order to be successful. It also helps employers gauge the workload of their website designers and ensure they are providing an adequate amount of work.

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Answer:

is there a picture?

Step-by-step explanation:

Answer:

500 feet below sea level

Step-by-step explanation:

You would take 2,500 and subtract 3,000 feet giving you an answer of -500 feet. Which means it is 500 feet below sea level

Answer:

B

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

tan35=x/20

20tan35=x

x=14.0041507641942

x+5=19.0041507641942

The nearest foot is 19

Answer:

  y > -x -3

Step-by-step explanation:

The graph is shaded above the dashed line, indicating y-values in the solution are greater than those on the line, so your inequality will start with ...

  y >

The y-intercept of the line is (0, -3), so the "b" value in ...

  y > mx +b

will be -3.

The line has a rise of -3 for a run of 3 (between the marked points), so the slope is ...

  m = rise/run = -3/3 = -1

Then the inequality you want is ...

  y > -x -3

Answer:

0

Step-by-step explanation:

\(2\sqrt[3]{(1-3x)} =6-4=2\\\sqrt[3]{(1-3x)}=\frac{2}{2} =1\\\sqrt[3]{(1-3x)}^{3} =1^{3} \\(1-3x)=1\\-3x=0\\x=0\)

Answer:

See attached image

Step-by-step explanation:

With this type of reflection, one has to convert the points of the form (x, y) into (y, x).

So the vertices of the triangle will transform the following way:

(4, 4)   into image (4, 4)

(4, 1)   into image  (1, 4)

(2, 1)  into image  (1, 2)

Please see attached picture to find the new reflected triangle depicted in red.

9514 1404 393

Answer:

  y = -x +3

  m = -1

  b = 3

Step-by-step explanation:

To solve the given equation for y, divide by the coefficient of y.

  (-3y)/(-3) = (3x -9)/(-3)

  y = -x +3

__

The slope is the x-coefficient, M = -1.

__

The y-intercept is the added constant, B = 3.

__

Both equations are graphed in the attachment. Texture has been added to the original so you can see the graphs are the same line.

Given:

The equation is

\(F=\dfrac{9}{5}C+32\)

To find:

Whether there is a proportional relationship between C and F.

Solution:

If there is a proportional relationship between C and F, then the line of given equation passes through (0,0) and the equation must be true for (0,0).

Put F=0 and C=0 in the given equation.

\(0=\dfrac{9}{5}(0)+32\)

\(0=0+32\)

\(0=32\)

This statement is not true because \(0\neq 32\).

It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.

Hence, there is not a proportional relationship between C and F.

Answer:

korrect

Step-by-step explanation:

it looks right

Answer:

Step-by-step explanation:

18 * 10 - 8 * 4    (remember pemdas)

180 - 32 =

148 cm²

Answer:

32

Step-by-step explanation:

Remember angles in a triangle add up to equal 180 degrees

This means that x + 126 + 22 must equal 180

126 + 22 = 148

x + 148 = 180

subtract 148 from each side

148 - 148 cancels out

180 - 148 = 32

we're left with x = 32

Answer:

32 is the answer of above questions.

Answer:

71°

Step-by-step explanation:

Since the sum of all the angles in a triangle equal 180°, you would add the two angles you already have (47°+62°=109°). Then you subtract the sum of the two angles you already have from 180° (180°-109°=71°).

The true statement about the axis of rotation is the option;

It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.

The axis of rotation is a straight line around which all points on a rotating body rotates.

The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle

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The surface areas for each figures are:

1. The surface area of the cuboid is:

Top and bottom: 2(10 ft x 4 ft) = 80 ft²

Front and back: 2(10 ft x 5 ft) = 100 ft²

Sides: 2(4 ft x 5 ft) = 40 ft²

Total surface area = 80 + 100 + 40 = 220 ft²

2. The surface area of the cuboid is:

Top and bottom: 2(18 cm x 5 cm) = 180 cm²

Front and back: 2(18 cm x 5 cm) = 180 cm²

Sides: 2(5 cm x 5 cm) = 50 cm²

Total surface area = 180 + 180 + 50 = 410 cm²

3. The surface area of the prism is:

Top and bottom: 2(5 cm x 14 cm) = 140 cm²

Front and back: 2(5 cm x 12 cm) = 120 cm²

Sides: 2(12 cm x 14 cm) = 336 cm²

Total surface area = 140 + 120 + 336 = 596 cm²

4. The surface area of the stacked cuboids is:

Top and bottom of first cuboid: 2(6 cm x 7 cm) = 84 cm²

Front and back of first cuboid: 2(6 cm x 2 cm) = 12 cm²

Sides of first cuboid: 2(7 cm x 2 cm) = 28 cm²

Front and back of second cuboid: 2(7 cm x 2 cm) = 28 cm²

Sides of second cuboid: 2(2 cm x 4 cm) = 8 cm²

Front and back of third cuboid: 2(2 cm x 10 cm) = 40 cm²

Sides of third cuboid: 2(10 cm x 8 cm) = 160 cm²

Total surface area = 84 + 12 + 28 + 28 + 8 + 40 + 160 = 360 cm²

5. The surface area of the cylinder is:

Top and bottom: 2π(6 mm)² = 72π mm²

Side: 2π(6 mm)(5 mm) = 60π mm²

Total surface area = 72π + 60π = 132π mm²

6. The surface area of the cylinder is:

Top and bottom: 2π(1 ft)² = 2π ft²

Side: 2π(1 ft)(10 ft) = 20π ft²

Total surface area = 2π + 20π = 22π ft²

7. The surface area of the cylinder stacked on a cube is:

Top and bottom of cylinder: 2π(5 m)² = 50π m²

Side of cylinder: 2π(5 m)(8 m) = 80π m²

Surface area of cube: 6(10 m x 13 m) = 780 m²

Total surface area = 50π + 80π + 780 = (130π + 780) m²

8. The surface area of the cylinder is:

Top and bottom: 2π(9 in)² = 162π in²

Side: 2π(9 in)(4 in) = 72π in²

Therefore, the total surface area of the cylinder is:

2(162π in²) + 72π in² = 396π in²

So the surface area of the cylinder is 396π square inches.

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Image transcribed:

Find the surface area of each figure.

10 ft

18 cm

5 cm

4 ft

5 ft

3.

4.

6 cm

7 cm

2 cm

5 cm

12 cm

14 cm

4 cm

10 cm

8 cm

Find the surface area of each cylinder. Leave your answer in terms of π.

5.

6 mm

6.

1 ft

5 mm

10 ft

7.

5 m

8.

4 in.

8 m

10 m

9 in.

13 m

11 m

247

Journal and Practice Workbook

Geometry

Answer:

\(\sqrt[3]{64} = 4\) \(\sqrt{64} = 8\)

Step-by-step explanation:

In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.

1. Begin with the equation 0.2 = 0.

2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.

  This simplifies to 0 = -0.2.

3. Observe that the right side of the equation, -0.2, is a negative number.

4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.

5. Rewrite the equation as 0 = +0.2.

6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.

7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.

8. Simplify the equation to 0 = +0.2.

9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.

10. As a result, the original equation 0.2 = 0 is invalid.

11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.

12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.

To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.

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Answer:

3(x+2) = 27.

Step-by-step explanation:

Subtracting 6 from both sides of the equation, we get:

3x + 6 - 6 = 27 - 6

Simplifying:

3x = 21

Dividing both sides by 3:

x = 7

So the equation equivalent to 3x+6=27 is:

3(x+2) = 3(7+2) = 3(9) = 27

Therefore, the answer is 3(x+2) = 27.

Answer:

The correct answer is:

It is a discrete random variable. (A)

Step-by-step explanation:

Discrete Random Variables are variables that have distinct values. The number of variables that can be taken on can be counted. in this example, the variables to the question Did you smoke in the last week? is one of two possibilities; yes or no. Apart from these two values, there is no other possibility for the variables, hence it is a discrete random variable

Continuous Random Variables are values that can take on any value between distinct values, even up to infinity. The number of values that the variables can take on cannot be counted or listed. For example, is there are variables for the possible temperature that a particular city can take on in a day, the values are continuous random variables because the values do not have any distinct value, and the possibilities cannot be counted. the possibilities can be; anywhere between 20°C to 50°C. between these two, temperatures, you can have infinite possibilities; 20.1, 30.5, 40.8, etc. Hence the values cannot be counted, it is thus a continuous random variable.

Answer:

c not random variable

Step-by-step explanation: